A number is multiplied by 20, and that product is added to 10. The sum is equal to the product of 5 and 10. Find the number

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

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

What is Angle of reflection?

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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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]

Answer:

I=$10800

Step-by-step explanation:

I=($120000×9×1)÷100

I=$1200×9=$10800

the two perpendicular segments are:

PN and UR.

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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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.

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

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:

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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The mixed fraction 7[tex]\frac{1}{4}[/tex] is equal to the improper fraction 29/4.

Improper Fraction - If the numerator exceeds the denominator in a fraction, it is referred to be Improper Fraction. Some examples include 9/2, 8/5, 10/3, etc.

Mixed Number - A whole number along with a proper fraction forms a mixed number. Also known as mixed fraction.

For the conversion of 29/4 into mixed number

Divide the numerator 24 by denominator 4

29 ÷ 4 = 7

Remainder = 1

Write the number 7 and then write 1 (the remainder) as the numerator and the 4 as the denominator (the denominator will remain tne same).

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The correct question should be which of the following mixed fraction is equal to the improper fraction 29/4 ?  

Answer:

Radius AB = 9.3 units

Step-by-step explanation:

BC (tangent) make right angle with radius AB.

AC = 16 units

BC = 13 units

Find:

Radius AB = ?

Computation:

Using Pythagoras theorem:

Radius AB = 9.3 units

Using proportions, it is found that:

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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The distribution is skewed to the left.

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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The values of the sine and tangent of the angle are √2 / 2 and - 1. By using inverse trigonometric functions, the value of angle is 135° (3π / 4).

According to the statement, the cosine of the angle is in the second quadrant and therefore the value of the sine must be positive and the value of the tangent must be negative. Then, the value of the sine is found by the fundamental formula:

sin θ = √(1 - cos² θ)

sin θ = √[1 - (- √2 / 2)²]

sin θ = √(1 - 1 / 2)

sin θ = √(1 / 2)

sin θ = √2 / 2

And the value of the tangent:

tan θ = sin θ / cos θ

tan θ = (√2 / 2) / (- √2 / 2)

tan θ = - 1

By using inverse trigonometric functions, we find that the value of angle is 135° (3π / 4).

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Answer: E & B

Step-by-step explanation:

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

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

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

Answer:

The answer is B

Step-by-step explanation:

I am 100% sure

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

Step-by-step explanation:

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

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

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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Answer: D

Step-by-step explanation: its just right

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

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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Answer:

1ai. x is less than or equal to 8

1ei. x > 4 and x > 1

Step-by-step explanation:

Steps for solving 1ai

Steps to solve 1ei

Answer:

It would be the last one D

Step-by-step explanation:

Because -1/x would be the recipricol graphing equation (I think) maybe not the recipricol but because the x is on bottom it's gonna make two graphs. I hope this helps some

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.

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

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]

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]

The required amount that was borrowed is 7000.

Given that,
Borrowed money for 4 years at 9%.
The total interest paid was 2520.
To determine how much money was borrowed.

Simple interest is defined as the percentage of earnings on the lending for a period of time

Here,
interest  = [principal * rate * time  ] / 100
2520 = [principal * 9* 4] / 100
Principal = 2520 * 100 / 9*4
Principal = 7000
So, the principal amount or initial amount is $7000.

Thus, the required amount that was borrowed is 7000.

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