can someone help me with this

Can Someone Help Me With This

Answers

Answer 1

Answer:

b) -8

c) 11

d) {x is a member of all real numbers | except for 2}

Answer 2

Answer:

(a) Choice C is correct

(b) f(x) = -8  Point is (1, -8)

(c) x =11  Point is at (11,2)

(d) Domain of f is x is [tex]\:x < 2\quad \mathrm{or}\quad \:x > 2\:[/tex]  
    In interval notation [tex]\:\left(-\infty \:,\:2\right)\cup \left(2,\:\infty \:\right)[/tex]

(e)  x intercept is at x = -7

(f) y-intercept is at [tex]-\frac{7}{2} = -3.5[/tex]

Step-by-step explanation:

(b) Plug in x = 1 into the equation [tex]\:\:\frac{x+7}{x-2} = \frac{1+7}{1-2} = \frac{8}{-1} = -8[/tex]

(c) If f(x) = 2 then we get [tex]2 = \:\:\frac{x+7}{x-2}[/tex]  

==> 2(x-2) = x + 7

==>   2x - 4 = x + 7

==> 2x - x = 7 +4 =11

==>  x = 11

(d) Domain of f is all values of x -∞ < x < ∞ except at x = 2 since at x = 2 the denominator is 0 and division by zero is undefined; So we can say the domain is x < 2 or x  >2

(e) To get the x-intercept set y = 0 and solve for x
We get (x+7)/(x-2) = 0

x+7 = (x-2)(0) = 0

x = -7 and the x intercept is at point (-7, 0)

(f) [tex]y\mathrm{-intercept\:is\:the\:point\:on\:the\:graph\:where\:}x=0[/tex]

Substitute for x = 0 to get y = (0+7)/(0-2) = -7/2


Related Questions

A cooked ham weighs 11 kilograms how many ham slider sandwiches can be made if each sandwich has. 55 grams of cooked ham

Answers

Number of ham slider sandwiches can be made is 200.

According to given data,

cooked ham weighs is 11 kilograms and

each sandwich has. 55 grams of cooked ham

we convert 11 kilograms to 11 grams

so we multiply 11 kilograms with 1000

then we get, 11×1000 = 11000 grams

number of ham slider sandwiches prepared

⇒ [tex]\frac{11* 1000}{55}[/tex]

⇒ [tex]\frac{1000}{5}[/tex]

⇒ 200

Therefore, we get number of prepared ham slider sandwiches is 200 .

Converting

Write the number of grams. Label it "grams" or "g." If you're using a calculator, just type the number in.

In this section, we'll follow along with an example problem to make things easier. Let's say that we want to convert 20,000 grams to kilograms. To start, we would write "20,000 grams" on our paper.

Divide by 1,000. A kilogram is one thousand grams. This means that to get kilograms from grams, you just need to divide the number of grams by 1,000.

In our example, we would get kilograms by dividing 20,000 grams by 1,000.

20,000/1,000 = 20

Label your answer. Don't forget this step! Labelling your answer with the proper units is important. If you're doing this conversion for schoolwork, you can lose points if you don't label. If you're doing it for something else, people may assume the wrong units.

In our case, we would label our answer with the label "kilograms" like this:

20 kilograms.

To get back to grams, multiply by 1,000. As discussed above, a kilogram is one thousand grams. This means that if you ever want to get back to grams from kilograms, all you need to do is multiply the number of kilograms by 1,000. Since multiplications is basically the "opposite" operation as division, this will "undo" the division and give you grams.

To get 20 kilograms back to grams, we just multiply by 1,000 (don't forget to label your answer again):

20 kilograms × 1,000 = 20,000 grams

Converting by Shifting the Decimal Point

Start with your number of grams. Believe it or not, you can convert between grams and kilograms without doing any math. This works because the metric system is a base 10 system of measurements. In other words, metric units are always a multiple of 10 apart from each other — there are 10 millimeters in a centimeter, 100 centimeters in a meter, 1,000 meters in a kilometer, and so on.

In this section, let's convert 37 grams to kilograms. We would begin the same way as in the section above, writing "37 grams" on our paper.

Shift the decimal point three spaces to the left. Now, find the decimal point in your number of grams. If you're converting a whole number, this won't usually be written, but you can assume it its to the right of the ones place. Move the decimal point three spaces to the left. Each time you move past a number counts as one space. If you run out of numbers to move past, keep moving it, leaving blank spaces.

In our example, the decimal point in 37 grams is to the right of the 7 (i.e., 37 grams is the same as 37.0 grams). If we go one space at a time, moving the decimal point three spaces to the left looks like this:

37.

3.7

.37

._37 — note that we leave an empty space when we run out of numbers.

Add zeroes in any empty spaces. You can't leave empty spaces in your answer, so fill in each one with a zero. You can also put a zero to the left of the decimal place if there aren't any numbers there, but this is optional — it just depends how you like to write your answers.

In our example, we have one empty space between the decimal point and the 3, so we'll fill it in with a zero like this:

.037

Adding the proper label (plus an extra zero to the left of the decimal point for presentation purposes), we get our final answer:

0.037 kilograms

To get back to grams, shift the decimal place back. When you have kilograms, shifting the decimal place three spaces to the right will give you grams again. Fill in any empty spaces with zeroes as normal.

In our example, we can shift the decimal place three spaces to the right like this:

0.037

00.37

003.7

0037. — the zeroes on the left don't matter any more, so we can rewrite this as simply 37 grams.

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In the lab, Lena has two solutions that contain alcohol and is mixing them with each other. She uses 400 milliliters less of Solution A than Solution B.
Solution A is 20% alcohol and Solution B is 17% alcohol. How many milliliters of Solution B does she use, if the resulting mixture has 179 milliliters of
pure alcohol?

Answers

Using a system of equations, it is found that she uses 700 ml of Solution B.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the variables are given as follows:

Variable x: Number of ml of Solution A.Variable y: Number of ml of Solution B.

She uses 400 milliliters less of Solution A than Solution B, hence:

x = y - 400.

Solution A is 20% alcohol and Solution B is 17% alcohol. The esulting mixture has 179 milliliters of pure alcohol, hence:

0.2x + 0.17y = 179.

Since x = y - 400, we have that:

0.2(y - 400) + 0.17y = 179.

0.37y = 259

y = 259/0.37

y = 700.

She uses 700 ml of Solution B.

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Alberto estuvo en el refugio con sus amigos durante cuatro días cuántos Ligias eran?

Answers

Answer:

Step-by-step explanation:

Alberto was in the shelter with his friends for four days how many Ligias were they?

No sé cómo responder a esta pregunta, ¿puedes explicarlo mejor?

Point G is the midpoint of segment FH. GH= 16x-19 and FG=12x+9. Find GH

Answers

Answer:

93

Step-by-step explanation:

By the definition of a midpoint, FG=GH.

[tex]16x-19=12x+9 \\ \\ 4x-19=9 \\ \\ 4x=28 \\ \\ x=7 \\ \\ GH=16(7)-19=\boxed{93}[/tex]

Which lines are parallel in the square
pyramid?
Select each correct answer.
о
AB and AD
BC and DE
AD and BC
CL and BE

Answers

AB AND AD :)))))))))))):()()/()):

Step-by-step explanation:

AB and AD, i got the same question and the answer was right

It takes a word processor 45 minutes to word process and spell check 12 pages. Find how long it takes her to word process and
spell check 40 pages.
It takes the word processor
minutes.

Answers

It will take 150 minutes to spell check 40 pages. 150 minutes is the same as 2.5 hours

I am pretty sure the answer is 150 because, as, first find the how many minutes does it take for 1 page and then the just multiply the answer with 40

Step-by-step explanation:

45/12=3.75 ×40

A deck of cards contains RED cards numbered 1,2,3,4,5,6 and BLUE cards numbered 1,2,3,4,5. Let R be the event of drawing a red card, B the event of drawing a blue card, E the event of drawing an even numbered card, and O the event of drawing an odd card.

Drawing the Blue 2 is an example of which of the following events? Select all correct answers.

Answers

Drawing a "blue 2" will be represented by the event (or combination of events):

B ∧ O.

Drawing the Blue 2 is an example of which of the following events?

We know that we have the following events:

B = drawing a blue card.E = drawing an even card.R = drawing a read card.O = drawing an odd card.

So, if we draw a card with a number 2, like in this case, the event "E" is true.

And also happens for event "B", because our card is a blue card.

Then a "blue 2" will be represented by the event (or combination of events):

B ∧ O.

Where the symbol in the middle, ∧, means "and".

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Ken volunteers 1 hr 25 min each day. How many hours of volunteering is completed in 4 weeks?

Enter a mixed number.

Answers

Answer:

35 volunteer hours

Step-by-step explanation:

1.25*7=8.75(in a week)

8.75*4=35

Use the maximum and minimum data entries and the number of classes to find the class width, the lower class limits, and the upper class limits.

min = 1, max = 30, 6 classes

Answers

Using proportions, it is found that:

The class width is of 4.8333.The lower class limits are given as follows: 1, 5.8333, 10.6667, 15.5, 20.3333, 25.1665.The upper class limits are given as follows: 5.8333, 10.6667, 15.5, 20.3333, 25.1665, 30.

What is a proportion?

A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.

Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.

Since the classes have equal width, the width is given as follows:

class width = (max - min)/n

In which n is the number of classes.

Hence, from the data given in this problem, the class width is given as follows:

class width = (30 - 1)/6 = 4.8333.

The lowest class starts at 1, hence, adding 4.8333, we have that:

The lower class limits are given as follows: 1, 5.8333, 10.6667, 15.5, 20.3333, 25.1665

The highest class starts at 30, hence, subtracting 4.8333, we have that:

The upper class limits are given as follows: 5.8333, 10.6667, 15.5, 20.3333, 25.1665, 30.

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Solving Quadratic Inequalities

1ai. x^2 less than or equal to sign 8
1ei. (x-4)(x+1)>0

Answers

Answer:

1ai. x is less than or equal to 8

1ei. x > 4 and x > 1

Step-by-step explanation:

Steps for solving 1ai

Factor x² less then or equal to 8 you would do this by finding two numbers the product is equal to zero and the sum would equal to zero. You would find all factors that would equal to your terms like for example x² has the factors x•x and the factors of 0 are 0 so it would be (x+0)(x+0) is less than or equal to 8Split the factoed terms into two inequalities since you're dealing with polynomial inequalities you will either have one or more solutions. For example you will have to solve x + 0 is less than or equal to 8 Solve for x by doing the inverse operation in this case the addition will become subtraction so it will be x + 0-0 is less than or equal to 8 - 0 which would be x is greater than or equal to 8

Steps to solve 1ei

Split the factored terms into 2 inequalities so (x-4) (x+1) >0 will become x-4>0 and x+1>0 Solve for x in this case x-4>0 will become x-4+4> 0+4 which is x>4 and x+1>0 will be x+1-1>0-1 which is x>-1

determine the monthly payment for a car that cost $42,100 if you put $4000 down and traded in a car for $6500 on a 5 year loan with 4.5% interest rate

Answers

Answer:  $589.12

===================================================

Explanation:

The down payment and trade-in value add to 4000+6500 = 10,500

Subtract this total from the car's cost

42,100 - 10,500 = 31,600

This is the amount loaned to the customer.

---------------

We have these input values

L = 31,600 = loan amounti = 0.045/12 = 0.00375 = monthly interest rate in decimal formn = 12*5 = 60 months (equivalent to 5 years)

Let's compute the monthly payment

P = (L*i)/(1 - (1+i)^(-n))

P = (31600*0.00375)/(1 - (1+0.00375)^(-60))

P = 589.119408031938 approximately

P = 589.12

Identify a pair of segments that are marked perpendicular to each other on the
diagram below. (Diagram is not to scale.)
P
R
T
#
U
0
S
N

Answers

the two perpendicular segments are:

PN and UR.

How to identify the perpendicular segments?

Two segments are perpendicular if and only if the angles generated when the segments intersect are all right angles (angles that measure 90°).

And the 90° angles are usually notated with a little square on the vertex.

In the image we can see that the angle at U is a right angle, thus, the segments that pass through that point are perpendicular.

We can conclude that the two perpendicular segments are:

PN and UR.

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Mason and Dallas are in a canoe race. Mason paddles 7/8 mile in 1/4. Dallas paddles 9/5 miles in 1/3 hour. Who paddles faster?

Answers

The in the canoe race, Dallas paddles faster than Mason.

According to the statement

We have to find that the Speed of the .

So, For this purpose, we know that the

The rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered.

From the given information:

Mason and Dallas are in a canoe race. Mason paddles 7/8 mile in 1/4. Dallas paddles 9/5 miles in 1/3 hour.

Then

The Mason paddles 7/8 mile in 1/4 hour.

We calculate the Speed = Distance/Time

Speed = (7/8)/(1/4)

Speed = (7/8) × (4/1)

Speed = 7/2

Speed = 3.5 miles per hour

And Dallas paddles 9/5 miles in 1/3 hour.

Speed = Distance/Time

Speed = (9/5)/(1/3)

Speed = (9/5) × (3/1)

Speed = 27/5

Speed = 5.4 miles per hour.

So, The in the canoe race, Dallas paddles faster than Mason.

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Answer:

5 2/5 is GREATER THAN  3 1/2, so DALLAS paddles faster.

Bill weighs 120 pounds and is gaining four pounds each month. Phil weighs 220 pounds and is losing six pounds each month. Which equation could be
used to determine how many months it will take for Bill and Phil to weigh the same amount?
120+4-2202-6
120-62220 + 4z
120r-6-220z+4
120+4r 220-6r

Answers

Bill and phil are both fat and needa hit the gym
12-mr4200
-67 months by gone

Answer: D

Step-by-step explanation: its just right

Which are partial products of
3
×
1,342
?

A.
6 and 900

B.
6 and 700

C.
120 and 90

D.
60 and 9

Answers

120 and 90 are Partial product of 3×1,342. Hence, option C is correct.

A Partial product is what we get when we multiply already multiplicand by the first digit of a multiplier that has multiple digits. We split the number into smaller parts in order to multiply. Further, each piece is multiplied separately, and after that, it is added.

In simple terms Partial products are mathematical operations that multiply each digit of one number by each digit of another number while maintaining the place value of each digit. For example, the place value of 4 in the number 43 would be 40.

Model for multiplication of incomplete products.

A model that breaks down data into its individual components. or position values in easy place value to make multiplication easier.

Thus, option C is correct.

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2. A car has a fuel tank that holds 45 liters of fuel. The car consumes 8.0 liters of fuel for
each 100 km driven. A trip of 350 km was started with a full tank of fuel. How much
fuel remained in the tank at the end of the trip?

Answers

Answer: 17 liters

Step-by-step explanation:

Make a proportion:

100 km - 8 liters

350 km - x liters

Hence,

[tex]\displaystyle\\x=\frac{350*8}{100} \\\\x=\frac{2800}{100}\\\\x=28\ liters \\\\45-28=\\7\ liters[/tex]

Jennifer is creating a rectangular-plot of grass in her backyard. She would like the length of the plot to be 6 feet less than the width. Draw a picture of the situation.

Answers

The value of the width is greater than the 21 if we want a perimeter greater than the 72 feet. Then if we let value of y is 25 then length is 19 and width is 25.

According to the statement

We have to find that the length and the width.

So, For this purpose, we know that the

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon

From the given information:

The length of the plot to be 6 feet less than the width.

Then

The given perimeter = greater than 72 feet.

We know that the perimeter of rectangle is

P = 2(length + breadth)

And

P < 2(length + breadth)

here p = 72, let length = y - 6 and width = y

Then

72 < 2(length + breadth)

72 < 2(y - 6 + y)

72 < 2(2y - 6)

72 < 4y - 12

84 < 4y

y >  21.

Then let the value of y is 25 then

length = 25 - 6 and width = 25

length = 19 and width = 25.

So, The value of the width is greater than the 21 if we want a perimeter greater than the 72 feet. Then if we let value of y is 25 then length is 19 and width is 25.

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P÷2-4p÷3=5 solve for p

Answers

The value of p from the given linear expression is -6

Solving linear equations

Linear equations are equations that has a linear degree of 1. For instance the expression y =mx + b has a linear degree of 1.

Given the linear expression below:

P÷2-4p÷3=5

Applying the PEMDAS rule, the division will go first

(P÷2)-(4p÷3)=5

This can also be expressed as:

p/2-4p/3 = 5

Find the Lowest Common Denominator

p/2-4p/3 = 5

3p-2(4p)/6 = 5

(3p-8p)/6 = 5

-5p/6 =5

Cross multiply to have:

-5p = 5(6)

-5p = 30

Divide both sides by -5

-5p/-5 = 30/-5

p = -6

Hence the value of p from the given linear expression is -6

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The beginning-of-the-period cash balance for the Taylor Company was a $12,000 debit. Cash sales for the month were $8,000 and sales on account were $8,000. The company paid $2,500 cash for current-period purchases and also paid $3,000 cash for amounts due from last month.
What is the ending debit or credit balance in the Cash account?

Answers

Based on the calculation below,  the ending debit balance in the Cash account is $14,500.

How do we calculate the Cash account ending balance?

The ending balance in the Cash account can be calculated using the following formula:

Ending balance = Beginning-of-the-period cash balance + Cash sales for the month - Current-period purchases - Amounts due from last month .......... (1)

Substituting all the relevant into equation (1), we have:

Ending balance = $12,000 + $8,000 - $2,500 - $3,000

Ending balance = $14,500

Since the $14,500 is positive, this implies that the ending can balance is debit.

Note that sales on the account is not cash transaction and that is it is not included in the calculation.

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Simplify 2/9y(3y-4/7)

Answers

Answer:

2/9y(3y−4/7)

Use the distributive property to multiply  

9

2

y by 3y−

7

4

.

9

2

y×3y+

9

2

y(−

7

4

)

Multiply y and y to get y

2

.

9

2

y

2

×3+

9

2

y(−

7

4

)

Express  

9

2

×3 as a single fraction.

9

2×3

y

2

+

9

2

y(−

7

4

)

Multiply 2 and 3 to get 6.

9

6

y

2

+

9

2

y(−

7

4

)

Reduce the fraction  

9

6

 to lowest terms by extracting and canceling out 3.

3

2

y

2

+

9

2

y(−

7

4

)

Multiply  

9

2

 times −

7

4

 by multiplying numerator times numerator and denominator times denominator.

3

2

y

2

+

9×7

2(−4)

y

Do the multiplications in the fraction  

9×7

2(−4)

.

3

2

y

2

+

63

−8

y

Fraction  

63

−8

 can be rewritten as −

63

8

 by extracting the negative sign.

3

2

y

2

63

8

y

Step-by-step explanation:

Thirty-four high school students were surveyed and asked how many siblings they have. The dotplot below displays the distribution of responses. A dotplot. A number line going from 0 to 8 is labeled Number of Siblings. 0, 3; 1, 5; 2, 9; 3, 9; 4, 3; 5, 3; 6, 1; 7, 0; 8, 1. What is the shape of the distribution of the number of siblings? skewed to the left bimodal symmetric skewed to the right unimodal symmetric

Answers

The distribution is skewed to the left.

What is a dot plot?

A dot plot is a graph that is made up of dots and a number line. The dots in the dot plot represent the frequency of the data. The greater the frequency of a data, the greater the number of dots.

For example if a the number 5 has 10 dots above it, it means that 5 has a frequency of 10.

The given dot plot is skewed to the left because the number of dots on the left is greater than the number of dots on the right.

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There is $10000 in an account that pays 5% interest per year. The interest is added to the total in the account at the end of each year. How much money will be in the account at the end of each year?

Year 1:

Year 2:

Year 3:

Answers

The value of the account at the end of 1 year is $10,500

The value of the account at the end of 2 years is $11,025

The value of the account at the end of 3 years is $11,576.25

What is the total at the end of the years?

If the amount of interest that is added into the account at the end of the year. Both the initial amount in the account and the interest that has already been earned would increase in value each year. This is known as compound interest.

The formula that can be used to determine compound interest is:

FV = P (1 + r)^n

Where:

FV = Future value

P = Present value

R = interest rate

N = number of years

Value of the account at the end of 1 year: 10,000 x (1.05) = $10,500

Value of the account at the end of 2 years: 10,000 x (1.05²) = $11,025

Value of the account at the end of 3 years: 10,000 x (1.05³) = $11,576.25

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Henry has a fenced yard in the shape of a rectangle with a perimeter that measures 226 feet. If the width of the yard measures 25 feet what is the length?

Answers

Answer:

Henry has a fenced yard in the shape of a rectangle with a perimeter that measure 226 feet.

it means perimeter is 226 feet.

then,it's width(breath) is 25feet

now, length =?

by using perimeter of rectangle

perimeter=2(l+b)

226=2(l+25)

226=2l+50

226-50=2l

176=2l

176/2=l

l=88

Therefore the length is 88feet.

Thank you

Inscribing a circle means to--
*
Label the inside of the circle.
Draw a circle around the outside of a shape.
Create a circle with a specific purpose.
Draw a circle inside a shape.

Answers

Inscribing a circle means to draw a circle inside a shape. the correct option is the last option

Inscribed figure

An inscribed figure is a shape drawn inside another shape. For example, if a circle is drawn inside a square, the circle is said to inscribed inside the square.

Likewise,

If a triangle is drawn inside a circle, the triangle is said to be inscribed inside the circle.

A cyclic quadrilateral is an example of a quadrilateral that is inscribed inside a circle.

Then,

We can conclude that inscribing a circle means to draw a circle inside another shape

Hence, inscribing a circle means to draw a circle inside a shape. the correct option is the last option

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4. Jessica's cat eats 1 bags of food each week. How many whole bags of food does Jessica need
to buy to feed her cat for 42 days?

Answers

Answer:

Step-by-step explanation:

7 days= 1 week

42 days= 42/7 = 6 weeks

For 1 week 1 bag of food

For 6 weeks 6 bags of food

6. To make your shot, you need the cue ball to hit point C. Find length CD and use it
to identify the location of C in relation to one of the C corner pockets. For example, if C
is on the upper bumper, your answer might be: 15 inches to the right of the upper left
pocket. Round your answer to the nearest inch. (2 points: 1 point for distance, 1
point for location)

Answers

33in is length of  CD by using angle of reflection.

What is Angle of reflection?

The angle of reflection is the angle formed by the reflected ray and the normal at the point of incidence on a reflecting surface.The angle formed by the incident and reflected rays is split into two equal angles by the normal line. The angle of incidence is the angle formed by the incident beam and the normal. The angle of reflection is the angle formed by the reflected beam and the normal.

CD should be a perpendicular line to CB.

Angle of incidence = Angle of reflection

Angle ACD = Angle EAC

Let the perpendicular intersection point from A to side be G

The two right-angled triangles, CDG and CAG, are similar by AAA.

So DG/AG = CD/CA

46/18 = CD/CA

CD+CA = 96-50 = 46

CA = 46-CD

46/18 = CD/(46-CD)

46*46 - 46CD = 18CD

64CD = 46*46

CD = 33.06 = 33in

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what is 20 squared 2 + 6(9 + 3)

Answers

Answer:

[tex]\sf 872[/tex]

Step-by-step explanation:

Parentheses

[tex]9 + 3 = 12[/tex]

[tex]=20^2\cdot \:2+6\cdot \:12[/tex]

Exponents

[tex]20^2=400[/tex]

[tex]=400\cdot \:2+6\cdot \:12[/tex]

M/D(Multiply/Div.)

[tex]6\cdot \:12 = 72[/tex]

[tex]=800+72[/tex]

A/S(Add/Sub.)

[tex]800+72=872[/tex]

[tex]\sf Thus,\\= 872[/tex]

-9x+10y=25 7x-4y=7 Elimination method (with work)

Answers

Values of x and y in the given equations by elimination method are 5 and 7 respectively. that is, x=5 and y=7.

In the elimination method, the aim is to entirely remove one of the unknown variable which would eventually make it easier to calculate be other unknown. However, it is important to note that this method is most effective when neither of the coefficients is equal to 1. The coefficient of either of the two variables will be made the same in both equations and by subtracting one from the other, it would be eliminated. It is a non-graphical methods of solving simultaneous linear equations.

consider the equations as (1) and (2),

-9x+10y=25..........................(1)

   7x-4y=7............................(2)

Now, multiply equation (1) by 4 and equation (2) by 10

Let the equations we get now be (3) and (4),

-36+40y=100......................(3)

70x-40y=70........................(4)

We can see that the coefficient of y in both equations is same that is 40

Now, add equation (3) and (4)

-36+40y+70x-40y=100+70                ( y terms cancel out)

By evaluating we get,

-34x=170

x=-170/34

x=5

To find the value of y, substitute value of x in equation (2)

7x-4y=7

7*5-4y=7

35-4y=7

35-7=4y

28=4y

y=28/4

y=7

Therefore, we can conclude that the values of x and y in the given equations -9x+10y=25 and 7x-4y=7 by elimination method are 5 and 7 respectively. that is, x=5 and y=7.

To learn more about elimination method

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Change the following percentage to fractions
25%
60%
30%
6%
55%
22%
45%
89.5%
40.05%
56.6%

Answers

Step-by-step explanation:

= 25/100 = 1/4

60% to fraction = 60/100 = = 12/20 further division gives 3/5

30% to fraction = 30/100 = 3/10

6% to fraction= 6/100 = 3/50

55% to fraction= 55/100 = 11/20

22% to fraction = 22/100 = 11/50

45% to fraction = 45/100 = 9/20


Work out the two numbers.
Write your answers on one line
The sum of two numbers is 21.
The second number is six times the first number.

Answers

Step-by-step explanation:

let the first number be x ,

second number be 6x,

sum of both numbers is 21.

then,

x + 6 x =21

or, 7x = 21

or, x =21/7

or, x = 3

now,

the first number is 3 &

the second number is 6*3= 18

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