help. 20 points. this is a proportion question.
what does x = ?

Help. 20 Points. This Is A Proportion Question. What Does X = ?

Answers

Answer 1

Answer:

x = 7

Step-by-step explanation:

[tex]\frac{3}{x}=\frac{x-4}{7}[/tex]

==> cross multiply

[tex]3*7=x*(x-4)[/tex]

==> simplify

21 = x² - 4x

==> subtract 21 from both sides

0 = x² - 4x - 21

==> factorize by finding two numbers that multiply to -21 and add up to equal -4

0 = (x - 7)(x + 4)

==> set each factor to 0 and solve for x

0 = (x - 7)             0 = (x + 4)

 7 = x                      -4 = x

We can now plug in the values of x into the proportion to see which are true.

           [tex]\frac{3}{x}=\frac{x-4}{7}[/tex]                                                [tex]\frac{3}{x}=\frac{x-4}{7}[/tex]

            x = 7                                                      x = - 4

          [tex]\frac{3}{7}=\frac{7-4}{7}[/tex]                                                [tex]\frac{3}{-4}=\frac{-4-4}{7}[/tex]

==> subtract 4 from 7                              ==> subtract -4 from -4

            [tex]\frac{3}{7}=\frac{3}{7}[/tex]                                                      [tex]-\frac{3}{4}=-\frac{8}{7}[/tex]

The only true answer is x = 7


Related Questions

Brittany has a home-based business making corsages and boutonnieres for school dances. Last year, she sold 12 corsages and 17 boutonnieres, which brought in a total of $621. This year, she sold 19 corsages and 16 boutonnieres, for a total of $754. How much does each item sell for?​

please help

Answers

Each corsages sell for $22. And Each boutonnieres sell for $21.

Brittany sold 12 corsages and 17 boutonnieres last year in total of $621.

And she sold 19 corsages and 16 boutonnieres this year for a total of $754.

First, we will create the system of equation from given information

So, the equations are

12x+17y=621..…(1)

19x+16y=754..…(2)

Where,

X=cost of one corsage

Y=cost of one boutonniere

Make y the subject of equation (1)

y=(621-12x)/17

Put this value of y in equation (2)

Therefore

19x+16((621-12x)/17)=754

19x+(9936-192x)/17=754

(323x+9936-192x)/17=754

131x+9936=12818

131x=12818-9936

131x=2882

x=2882/131

x=22

So, the cost of one corsage is $22.

Now, put this value of x in equation (1)

12×22+17y=621

264+17y=621

17y=621-264

y=357/17

y=21

The cost of one boutonniere is $21.

Thus, the cost of each corsages and boutonnieres are $22 and $21.

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Answer question in picture

Answers

The given graph can be expressed as an equation of f(x) = -2cos(-x).

What is a graph of a trigonometric function?

In these trigonometry graphs, the x-axis values of the angles are in radians, and the y-axis value of the function at each given angle is taken as f(x).

The given graph is of a negative angle of a negative cosine.

So if we draw the graph of the negative angle of a negative cosine, the graph will pass through the origin, but

If we multiply 2 from the graph of the negative angle of a negative cosine then we will get the same graph as shown in the given figure.

So the equation would be f(x) = -2cos(-x).

Hence, the equation of the graph will be f(x) =  -2cos(-x).

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A box of candy had 8 cherry pieces for every 3 lemon pieces. If the box had 30 lemon pieces how many cherry pieces would there be

Answers

Answer:

240

Step-by-step explanation:

30 X 8

i need help QUICK
Evaluate.

−[4.1−3(2.2) ]
___________ +2
(−0.2)^2

What is the value of the expression?

Enter your answer as a decimal in the box.

Answers

The value of the given expression in the question, -[4.1-3(2.2)] / (0.2)² + 2       is 64.5.

What do you mean by expression?

An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.)

You can think of expressions as being similar to phrases. A phrase in language may contain an action on its own, but it does not constitute a complete sentence.

-[4.1-3(2.2)] / (0.2)² + 2

Using the BODMAS rule to simplify the given expression.

Given expression can be written as:

= -[4.1-6.6] / 0.04 + 2

= -[-2.5]/0.04+2

=2.5/0.04+2

=62.5+2

=64.5

Therefore, 64.5 is answer for expression  -[4.1-3(2.2)]/(0.2)^2+2.

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URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!!!

Answers

Answers in bold

Type of angle pair is same-side interior angles. These angles are supplementary so x = 46 degrees.

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

Explanation:

The angles shown are known as "same-side interior" or "consecutive interior". They are interior because they are inside the parallel train tracks. They are considered "same-side" because both are below the transversal line.

If the train tracks are parallel, then those same-side interior angles are supplementary. This means they add to 180 degrees.

x+134 = 180

x+134-134 = 180-134

x = 46

Solve 2x + 6 < 8 or 2x + 8 > 12.

Answers

Answer:

2x + 6 < 8 = x < 1

2x + 8 > 12 = x > 2

so, for the first one it's x < 1

and for the second one it's x > 2

Step-by-step explanation:

a jet plane travels 1,290 in 3 hours Assuming its speed is constant, how long will it take to travel 5,160 Miles?

Answers

The time it takes is 12 hours to travel 5,160 Miles.


The time is take can be calculated as follows?


The first is calculate the speed of jet plane in miles/hour (mph)

= 1,290 / 3

= 430 mph

Next is to calculate the time is take to travel 5,160 by dividing the distance by the speed

= 5,160 / 430

= 12 hours

Thus, the time it takes is 12 hours.

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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Solve the equations for x and match the solutions.

Answers

The solution to each of the equations are matched together as:

1. 4 = 6/a*x + 5 → x = -a/6

2. 7 + 2ax = 13 → x = 3/a

3. -ax - 20 = -14 → x = -6/a

How to Solve an Equation?

To solve an equation, apply the properties of equality in order to isolate the variable solved for to one side of the equation, which gives us the solution to the problem.

1. 4 = 6/a*x + 5

4 = 6x/a + 5

Combine like terms

-6x/a = -4 + 5

-6x/a = 1

-6x/a(a) = 1(a) [multiplication property of equality]

-6x = a

-6x/-6 = a/-6 [division property of equality]

x = -a/6

2. 7 + 2ax = 13

2ax = 13 - 7

2ax = 6

Divide both sides of the equation by 2a

x = 6/2a

x = 3/a

3. -ax - 20 = -14

-ax = -14 + 20

-ax = 6

x = 6/-a

x = -6/a

Therefore, the solutions are:

1. x = -a/6

2. x = 3/a

3. x = -6/a

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5x+4=2(x+2) solve for x

Answers

Answer:

Step-by-step explanation:

Answer:

7x + 8 is your answer

Step-by-step explanation:

find x in angle ABC


............

Answers

Answer: The value of x in ∆ ABC is

Step-by-step explanation: By AA similarity

x² = 4* 16

x = 8

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Type the correct answer in the box. Use numerals instead of words. For this item, a non-integer answer should be entered as a fraction using / as the fraction bar. Simplify the numerical expression. The expression has a value equal to


[tex] \frac{2}3 \: \div {2}^{4} + ( \frac{3}{4} + \frac{1}{6} ) \: \div \frac{1}{3} [/tex]

Answers

After solving thie expression using BODMAS rule we get the result equal to  [tex]\frac{67}{24}[/tex].

What is BODMAS?

To solve arithmetic expressions of several operators, the BODMAS rule is a mathematics is a technique. We will solve an equation with several operators with the use of BODMAS. It provides the decoding of the mathematical phrase in the proper sequence.

B= Bracket

O= Of

D= Divide

M= Multiply

A= Addition

S= Subtraction

To solve this numerical expression,

[tex]\frac{2}{3}[/tex] ÷ 2⁴ + ([tex]\frac{3}{4}[/tex] + [tex]\frac{1}{6}[/tex]) ÷ [tex]\frac{1}{3}[/tex]

Use BODMAS method

[tex]\frac{2}{3}[/tex] ÷ 16 + ([tex]\frac{9+2}{12}[/tex]) ÷ [tex]\frac{1}{3}[/tex]

[tex]\frac{2}{3}[/tex] ÷ 16 + ([tex]\frac{11}{12}[/tex]) ÷ [tex]\frac{1}{3}[/tex]

[tex]\frac{2}{3}[/tex]  × [tex]\frac{1}{16}[/tex] + ([tex]\frac{11}{12}[/tex]) × 3

[tex]\frac{1}{24}[/tex] + [tex]\frac{33}{12}[/tex]

[tex]\frac{67}{24}[/tex]

The expression has a value equal to [tex]\frac{67}{24}[/tex].

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The Houston Armadillos, a minor-league baseball team, play their weekly games in a small stadium just outside Houston. The stadium holds 10,000 people and tickets sell for $10 each. The franchise owner estimates that the team's annual fixed expenses are $180,000, and the variable expense per ticket sold is $1. (In the following requirements, ignore income taxes.)

Answers

Answer:

Required

1. What is the break-even point in tickets?

2. How many tickets must be sold to earn a profit of $30,000?

3. How many tickets must be sold to earn a profit of $100,000?

Step-by-step explanation:

round to the nearest ten thousand
a.12,456
b.60,792
c.93,245​

Answers

As per the rule of round off, the nearest ten thousand to the numbers are

a.12,456 = 10,000

b.60,792 = 60,000

c.93,245​ = 90,000

Round off

Round off defines a change a number into an approximation having fewer significant digits.

Given,

Here we need to round off the following numbers to the nearest ten thousand.

a.12,456

b.60,792

c.93,245​

a. 12,456

If you rounded to the nearest ten thousands place. The 1 in the ten thousands place rounds down to 1, or stays the same, because the digit to the right in the thousands place is 2.

If the digit to the right is less than 5 we round toward 0.

Therefore, 12,456 was rounded down toward zero to 10,000

b. 60,792

If you rounded to the nearest ten thousands place. The 6 in the ten thousands place rounds down to 6, or stays the same, because the digit to the right in the thousands place is 0.

So, if the digit to the right is less than 5 we round toward 0.

Then 60,792 was rounded down toward zero to 60,000

c. 93, 245

Similar to the previous one, if rounded to the nearest ten thousands place. The 9 in the ten thousands place rounds down to 9, or stays the same, because the digit to the right in the thousands place is 3.

When the digit to the right is less than 5 we round toward 0.

93245 was rounded down toward zero to 90,000

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One plane can travel 10 miles per hour faster than another. One of them goes 135 miles in the same time it takes the other to go 130 miles. What are their speeds?

Answers

The speed of the slower plane is 260 mph and the speed of the faster plane is 270 mph.

What is the distance?

Distance is defined as the product of speed and time.

Let the speed of the slower plane would be s

then (s+10) = speed of the faster

So time equation; time = dist/speed

130 / s = 135 / (s+10)

130(s+10) = 135s

130s + 1300 = 135s

135s - 130s = 1300

5s = 1300

s = 1300 / 5

s = 260

Since s = 260 mph is the speed of the slower plane

So, 270 mph is the speed of the faster.

Thus, the speed of the slower plane is 260 mph and the speed of the faster plane is 270 mph.

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8.2: Word Problems - UNDERLINE key words, set up your division sentence, then solve!
Ms. K's cooking club needs 2 1/4 cups of flour to make enough crepes for everyone in the class. The
club split into 6 smaller groups, each making their own batch. How much flour does each group
need?

Answers

Answer:

3/8

Step-by-step explanation:

hope it helps :)


solve the absolute value equation
2 = |x|-1

Answers

If you're looking for x, then:

2 = |x|-1

lxl-1 = 2

lxl-1+1=2+1

lxl=3

so x = -3, x=3

Jamie stirred cake batter for six minutes. After each minute, she recorded how many total stirs she had made in the table at the left.

a. Does this relation form a function?

b. Based on the information in the table, what do you think may have happened between minutes 3 and 4?​

Answers

Yes on function
She stopped

Based on the graph above, determine the amplitude, midline, and period of the function
Amplitude:?
Period:?
Midline: y=?

Answers

The amplitude, midline and period of the function are 3 units, 4units and 5 units respectively

How to determine the amplitude, midline, and period of the function based on the graph?

The amplitude is half the full height of the periodic function. That is:

Amplitude = (maximum - minimum)/2

Check the image attached, the maximum and minimum are labeled max and min respectively

Amplitude = (-1 - (-7))/2  = 6/2 = 3 units

The midline is the middle of the periodic graph or halfway between the minimum and maximum of the graph

Midline = (maximum + minimum)/2

Midline = (-1 + (-7))/2 = -8/2 = -4 units

The period is the distance between two peaks or (maximums) on the graph.

Period = 1-(-4) = 5 units

Therefore, the amplitude, midline and period are 3 units, 4units and 5 units respectively

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Choose the solution to this inequality.
3.5≥b+1.8

Answers

Answer:

[tex]1.7\geq b[/tex]

Step-by-step explanation:

3.5>=b+1.8

-1.8.       -1.8

1.7>=b

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Kim spent $65 dollars on a new computer but she gave away $10 dollars to her friend Samantha.How many dollars does Kim have left to buy her new computer.

Answers

Answer:

Step-by-step explanation:Le quedo +10$

Ya que

-65 y le regalaron +10

Please help need answer now!!!!!! Pleaseee

Keaton knows that the slope of a certain line is m = -8/5. Does he have enough information to write the equation of the line? Explain. A. Yes the y intercept of this equation must be (0,0) so you can write the equation with only the slope value B. yes if you know the value of the slope, then you can guess the location of the y intercept and write the equation C. No, to write the equation of a line do you need to know both the Slope and one ordered pair that lies on the line D. No you don’t need to know the slope of a line to write its equation 

Answers

Answer:

C

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

To obtain either equation we require to know both the slope and one ordered pair that lies on the line.

Country S has 12,345,000 residents who tested positive for COVID-19. What is the largest place value of the numeric part of this quantity?

Answers

The largest place value of the numeric part of this quantity is 10 million.

What exactly is a place value in mathematics?

Our entire number system is built around place value. This is the system in which the value of a number is determined by the position of its digits. The numbers 42,316 and 61,432 differ because the digits are in different positions.

Every digit in a number has a place value in mathematics. Place value is the value represented by a digit in a number based on its position in the number. For example, 7 hundreds or 700 is the place value of 7 in 3,743. The place value of 7 in 7,432 is, however, 7 thousands or 7,000.

In the number, 12,345,000, the highest place value is 1 and it denotes 10 million.

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Convert the following equation
into standard form.

y = -7x/2 - 3

Answers

Standard form: Ax + By = C

y = -7x/2 - 3
y+3 = -7x/2
2y + 6 = -7x
7x + 2y = -6

Final possible answers: 7x + 2y = -6 or
6 = -7x-2y

Answer:

7x + 2y = - 6

Step-by-step explanation:

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

given

y = - [tex]\frac{7}{2}[/tex] x - 3 ( multiply through by 2 to clear the fraction )

2y = - 7x - 6 ( add 7x to both sides )

7x + 2y = - 6 ← in standard form

a fair die was thrown once what is the probability of getting either even or 6​

Answers

Answer:

1/2 or 1/6

Step-by-step explanation:

a fair die has 6 possible outcomes:

1,2,3,4,5, or 6

probability of getting an even number is:

3/6 = 1/2 {as there are three possible even outcomes}

probability of getting 6 is:

1/6

A bag contains 15 green, 18 yellow, and 16 orange balls.

One ball is randomly selected. To the nearest percent, what is the probability of the event?

P(yellow)=
31%, 33%, 37%, and 42%

Answers

The probability of the event P(Yellow) is 37% , the correct option is (c) .

In the question ,

it is given that

number of green balls in the bag [tex]=[/tex] 15

number of yellow balls in the bag [tex]=[/tex] 18

number of orange balls in the bag [tex]=[/tex] 16

So , total number of balls in the bag = number of green balls + yellow balls + orange balls .

On substituting the values ,

we get

total number of balls = 15 +18 + 16 = 49

the probability of the event P(Yellow) = (number of yellow balls)/(total balls)

= 18/49

= 0.3673

= 36.73%

≈ 37%

Therefore , The probability of the event P(Yellow) is 37%  .

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please help!
thank u.

Answers

a) In midday there is no change in the height of the water.

b) At 19.00 hours the height of water will decrease 1.5

Given,

The height of the water = h

Equation, h = 3sin(30t)°

t is the time in hours

a) We have to find the height of water in midday;

Midday = 12 noon

Now,

h = 3sin(30t)²

t = 12

Then,

h = 3sin(30 x 12)°

h = 3sin360°

h = 0

That is,

In midday there is no change in the height of the water.

b) We have to find the height of the water at 19.00

Now,

h = 3sin(30t)²

t = 19

Then,

h = 3sin(30 x 19)°

h = 3sin570°

h = -1.5°

That is,

At 19.00 hours the height of water will decrease 1.5

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Word problems ( put solution )

1. John mixed 10.84 liters of honey water with 12.2 liters of
lemon juice to make a drink. Then he poured the mixture
into 0.75-liter bottles.
a) How many bottles could he fill completely with the mixture?
b) How many liters of the mixture were left

2.Mr. Alai bought a digital music player at $76.55 and a
memory card at $10.95 before sales tax. If the sales tax
was 10%, find the total amount he had to pay.

Answers

The number of bottles that could be completely filled is: 30 bottles. Additionally, he has 0.72 liters of drink left. On the other hand, the total price of the music player and memory card is $96.25 (with tax).

How to solve problem 1?

To solve problem 1 we need to consider how much drink John got after mixing the honey water with the lemon juice.

10.84 + 12.2 = 23.04

Subsequently, we divide the total juice in quantities of 0.75 to obtain the number of bottles that we can fill, as shown below:

32.04 / 0.75 = 30.72

According to the above, 30 bottles of 0.75 liters can be filled and there would be a remaining 0.72 liters.

How to solve problem 2?

To solve problem 2 we must add the value with tax of the two products

$76.55 + $10.95 = $87.5

Later, to find 10% of this value we must divide it by 100 and multiply the result by 10 as shown below:

$87.5 / 100 = 0.8750.875 * 10 = $8.75

Finally, we must add this value to the total value without tax ($87.5) to obtain the total value with taxes

$87.5 + $8.75 = $96.25

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y= 10
_
X
Is linear with or no linear

Answers

Answer:

Linear

Step-by-step explanation:

because it is in the form y=mx+c if rearranged

Please help will mark Brainly

Answers

Answer:

B

Step-by-step explanation:

I did it, I know, can I have brainliest please?

The length of a rectangle is four more than twice its width. If the perimeter of the rectangle is 56 cm, what is the width of the rectangle?

Answers

The width has a value of  8 meters

How to determine the value of the width?

The mathematical statement from the question is given as

Length of a rectangle is four more than twice its width.

Mathematically, this can be represented as

Length = 2Width + 4

The perimeter is given as

Perimeter = 56 meters

The perimeter is calculated as

Perimeter = 2 x (Length + Width)

So, we have

2 x (2Width + 4 + Width) = 56

Divide by 2

2Width + 4 + Width = 28

This gives

3Width= 24

Divide by 3

Width = 8

Hence, the width is 8 meters

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