Supplementary solving for x



Supplementary Solving For X

Answers

Answer 1

Answer:

M<1 is 43 degrees and M<2 is 137

Step-by-step explanation:

This is a case of supplementary angles. M<1 and M<2 are supplementary, which means that their angle degrees added together will be equal to 180. The same is for M<2 and M<3, and M<3 and M<4, and M<1 and M<4. Basically, two angles are supplementary when they form a straight line, or 180 degrees

First, we know that M<1 and M<2 added together is 180. We know M<1 is 7x+1, so then, we have:

(7x+1) + (M<2) = 180

Therefore, we have 180-(7x+1) = M<2. We can't solve the equation further on from there, so we move on.

Next, we know that M<2 and M<3 added together is 180. We know that M<3 is 12x-29, so then, we have:

(12x-29) + (M<2) = 180

Therefore, we have 180-(12x-29) = M<2. Now, we have two equations to solve x:

180-(7x+1) = M<2 and 180-(12x-29) = M<2. As both equations equal M<2, they equal each other. Thus, we have:

180-(7x+1) = 180-(12x-29)

We can cancel out 180, so:

-(7x+1) = -(12x-29)

-7x-1 = -12x+29

-30 = -5x

x = 6.

Now that we have x, we can find M<1, M<3, and M<2. M<1 is (7x+1), so we use substitution, putting 6 for x, and M<1 is evaluated to 43 degrees.

Now that we have M<1, we can find M<2 easily. M<1 + M<2 = 180, so 43 + M<2 must be 180. Therefore, M<2 is 137 degrees.

We can do the same for M<3, but the problem does not require it.


Related Questions

find the square root of 3.6 upto 2 decimal places. *With Solution I need*

Answers

Answer:

The square root is 1.90

Step-by-step explanation:

Given

[tex]x = \sqrt{3.6}[/tex]

Required

Find x

Express 3.6 as 36/10

So, we have:

[tex]x = \frac{\sqrt{36}}{\sqrt{10}}[/tex]

This gives

[tex]x = \frac{6}{\sqrt{10}}[/tex]

Rationalize

[tex]x = \frac{6}{\sqrt{10}}*\frac{\sqrt{10}}{\sqrt{10}}[/tex]

[tex]x = \frac{6\sqrt{10}}{10}[/tex]

Using a calculator

[tex]\sqrt{10} \approx 3.16[/tex]

So, we have:

[tex]x = \frac{6*3.16}{10}[/tex]

[tex]x = \frac{18.96}{10}[/tex]

[tex]x = 1.896[/tex]

Approximate

[tex]x = 1.90[/tex]

What is the value of the expression below?
−2
1
3
− 3
5
6
+ 1
1
3
?

Answers

Answer:

Step-by-step explanation:

The expression you've provided is a combination of several fractions, but it's not clear how they are supposed to be combined. Without more information, it's impossible to know what the value of the expression is.

It would be helpful if you could provide more context or clarify how you want the fractions to be combined.

I can only tell you how the fraction works in mathematics and how you can evaluate the value of it if you have the complete information.

The height and the base area b of a cone are given fine the volume of the cone h=6units b=4 pie square units ?

Answers

Answer:

24 may be

Step-by-step explanation:

coz i dont kmow waiii i dont know

m soo sry to disturb u

may god find ur answer

god bless u

be happy alys

HELP ME QUICK PLEASE.

Answers

Answer:

B

Step-by-step explanation:

b. x ≤ 45
x is less then or equal to 45 miles per hour

What is the surface area of the rectangular prism?

Answers

Answer:

I would say it's 126in

Step-by-step explanation:

sorry if I'm not right but I'm pretty sure :)

What are the answers

Answers

Answer:

Rate of change= 1/3

Initial value = -4

Step-by-step explanation:

The rate of change is rise/run = 1/3.

the initial value is the y-intercept which is -4.

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below

[tex](\stackrel{x_1}{-6}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-3}-\stackrel{y1}{(-6)}}}{\underset{\textit{\large run}} {\underset{x_2}{3}-\underset{x_1}{(-6)}}} \implies \cfrac{-3 +6}{3 +6} \implies \cfrac{ 3 }{ 9 } \implies \cfrac{1 }{ 3 }[/tex]

now as far as the "initial value", dunno what that means.

The start of the line? well, the line by definition goes to infinity both ways.

the y-intercept? well, just look at the graph, the graph intercepts the y-axis when x = 0 and y = -4, so at (0 , -4).

Plot the point whose polar coordinates are given. Then find two other pairs of polar coordinates of this point, one with r > 0, and one with r < 0.
(a) (2, 5pi/6)
(b) (1, -2pi/3)
(c) (-1, 5pi/4)

Answers

Answer:

The other pairs are:

[tex](a)\ (2, \frac{5\pi}{6}) \to[/tex]  [tex](2, \frac{17\pi}{6})[/tex] and [tex](-2, \frac{23\pi}{6})[/tex]

[tex](b)\ (1, -\frac{2\pi}{3}) \to[/tex] [tex](1, \frac{4\pi}{3})[/tex] and [tex](-1, \frac{7\pi}{3})[/tex]

[tex](c)\ (-1, \frac{5\pi}{4}) \to[/tex] [tex](-1, \frac{3\pi}{4} )[/tex] and [tex](1, \frac{7\pi}{4})[/tex]

See attachment for plots

Step-by-step explanation:

Given

[tex](a)\ (2, \frac{5\pi}{6})[/tex]

[tex](b)\ (1, -\frac{2\pi}{3})[/tex]

[tex](c)\ (-1, \frac{5\pi}{4})[/tex]

Solving (a): Plot a, b and c

See attachment for plots

Solving (b): Find other pairs for [tex]r > 0[/tex] and [tex]r < 0[/tex]

The general rule is that:

The other points can be derived using

[tex](r, \theta) = (r, \theta + 2n\pi)[/tex]

and

[tex](r, \theta) = (-r, \theta + (2n + 1)\pi)[/tex]

Let [tex]n =1[/tex] ---- You can assume any value of n

So, we have:

[tex](r, \theta) = (r, \theta + 2n\pi)[/tex]

[tex](r, \theta) = (r, \theta + 2*1*\pi)[/tex]

[tex](r, \theta) = (r, \theta + 2\pi)[/tex]

[tex](r, \theta) = (-r, \theta + (2n + 1)\pi)[/tex]

[tex](r, \theta) = (-r, \theta + (2*1 + 1)\pi)[/tex]

[tex](r, \theta) = (-r, \theta + (2 + 1)\pi)[/tex]

[tex](r, \theta) = (-r, \theta + 3\pi)[/tex]

[tex](a)\ (2, \frac{5\pi}{6})[/tex]

[tex]r = 2\ \ \ \ \theta = \frac{5\pi}{6}[/tex]      

So, the pairs are:

[tex](r, \theta) = (r, \theta + 2\pi)[/tex]

[tex](2, \frac{5\pi}{6}) = (2, \frac{5\pi}{6} + 2\pi)[/tex]

Take LCM

[tex](2, \frac{5\pi}{6}) = (2, \frac{5\pi+12\pi}{6})[/tex]

[tex](2, \frac{5\pi}{6}) = (2, \frac{17\pi}{6})[/tex]

And

[tex](r, \theta) = (-r, \theta + 3\pi)[/tex]

[tex](2, \frac{5\pi}{6}) = (-2, \frac{5\pi}{6} + 3\pi)[/tex]

Take LCM

[tex](2, \frac{5\pi}{6}) = (-2, \frac{5\pi+18\pi}{6})[/tex]

[tex](2, \frac{5\pi}{6}) = (-2, \frac{23\pi}{6})[/tex]

The other pairs are:

[tex](2, \frac{17\pi}{6})[/tex] and [tex](-2, \frac{23\pi}{6})[/tex]

[tex](b)\ (1, -\frac{2\pi}{3})[/tex]

[tex]r = 1\ \ \ \theta = -\frac{2\pi}{3}[/tex]      

So, the pairs are:

[tex](r, \theta) = (r, \theta + 2\pi)[/tex]

[tex](1, -\frac{2\pi}{3}) = (1, -\frac{2\pi}{3} + 2\pi)[/tex]

Take LCM

[tex](1, -\frac{2\pi}{3}) = (1, \frac{-2\pi+6\pi}{3})[/tex]

[tex](1, -\frac{2\pi}{3}) = (1, \frac{4\pi}{3})[/tex]

And

[tex](r, \theta) = (-r, \theta + 3\pi)[/tex]

[tex](1, -\frac{2\pi}{3}) = (-1, -\frac{2\pi}{3} + 3\pi)[/tex]

Take LCM

[tex](1, -\frac{2\pi}{3}) = (-1, \frac{-2\pi+9\pi}{3})[/tex]

[tex](1, -\frac{2\pi}{3}) = (-1, \frac{7\pi}{3})[/tex]

The other pairs are:

[tex](1, \frac{4\pi}{3})[/tex] and [tex](-1, \frac{7\pi}{3})[/tex]

[tex](c)\ (-1, \frac{5\pi}{4})[/tex]

[tex]r = -1 \ \ \ \ \theta = \frac{-5\pi}{4}[/tex]

So, the pairs are

[tex](r, \theta) = (r, \theta + 2\pi)[/tex]

[tex](-1, \frac{-5\pi}{4}) = (-1, \frac{-5\pi}{4} + 2\pi)[/tex]

Take LCM

[tex](-1, \frac{-5\pi}{4}) = (-1, \frac{-5\pi+8\pi}{4} )[/tex]

[tex](-1, \frac{-5\pi}{4}) = (-1, \frac{3\pi}{4} )[/tex]

And

[tex](r, \theta) = (-r, \theta + 3\pi)[/tex]

[tex](-1, \frac{-5\pi}{4}) = (-(-1), \frac{-5\pi}{4}+ 3\pi)[/tex]

Take LCM

[tex](-1, \frac{-5\pi}{4}) = (1, \frac{-5\pi+12\pi}{4})[/tex]

[tex](-1, \frac{-5\pi}{4}) = (1, \frac{7\pi}{4})[/tex]

So, the other pairs are:

[tex](-1, \frac{3\pi}{4} )[/tex] and [tex](1, \frac{7\pi}{4})[/tex]

A consumer advocacy group has received complaints that a particular potato chip manufacturer is producing bags that contain less than the advertised 1.75 ounces of chips. A SRS of 150 bags of flour is weighed and the sample mean weight is found to be 1.74 ounces. If we assume a population standard deviation of 0.08 ounces, use a hypothesis test to test the claim that the bags are being under-filled.
1: What is the null hypothesis?
2: What is the alternative hypothesis?

Answers

Answer:

Null (H0) : Mean chips weight = 1.75 , Alternate (H1) :  Mean chips weight < 1.75

Step-by-step explanation:

Null Hypothesis states no deviation from considered population parameter.

Alternate Hypothesis states deviation from considered population parameter. If anticipated deviation may be more or less, its two tail test. If anticipated deviation is only more or less, its left or right tail test .

Null Hypothesis [H0] : Average chips weight = 1.75 ounce

Alternate Hypothesis [H1] : Average chips weight < 1.75 ounce {Left Tail Test}

Find the circumference of the circle.

Answers

Answer:

72 .22 inches is the answer bro

Answer:

72.22 inches

Step-by-step explanation:

Formula for circumference given diameter is:

c = πd

If you use 3.14 for pi, you get 72.22 inches:

c = 3.14(23)

c = 72.22

2 IMAGES BELOW! PLEASE HELP! Tysm <3

Answers

Answer:

y=2x+2

Step-by-step explanation:

Just look at the bottom dot which is 0,2 and y=2x+2 is the only one that works:

2=(2×0)+2

2=2

but the other is:

2=(3×0)

2=3

which isn't true,

therefore it must be the first one.

pls help i have been doing this for 5 hours i will mark brainliest PLEASE I JUST NEED THE RIGHT ANSWER

Answers

Answer:

[tex]p = 7[/tex]

Step-by-step explanation:

So the key is that a line has a measure of 180 degrees. Notice the square between the rays. That is a 90-degree angle. So let's add this up and see what's going on

[tex](5p + 2) + 90 + (7p + 4) = 180[/tex]

[tex]12p + 96 = 180[/tex]

[tex]12p = 84[/tex]

[tex]p = 7[/tex]

Answer:

p = 7

Step-by-step explanation:

From the diagram, we can see that all the angles given form a straight line, and therefore add up to 180°.

We can create an equation with what is given:

***The angle with the square marked is 90°.

5p° + 2° + 90° + 7p° + 4° = 180°

You can combine the like terms, getting:

12p° + 96° = 180°

Now, subtract 96° from both sides:

12p° = 84°

Now, divide by 12°, and get:

p = 7


_______ quadratic equations in standard form can be solved
using the quadratic formula.
No
All
Some

PLS HELP

Answers

The answer is All

Step-by-step explanation:

It has been proven that all quadratic equations can be solved with the quadratic formula.

If an 8-foot pole casts a 6-foot shadow at the same time a nearby tree casts
a 33-foot shadow, how tall is the tree (in feet)?

Answers

Answer:

The tree is 44 feet

Step-by-step explanation:

[tex]\frac{8}{6}[/tex] is equivalent to [tex]\frac{4}{3}[/tex] (divide the numerator and denominator by 2)

[tex]\frac{4}{3}[/tex] = [tex]\frac{x}{33}[/tex]

3 x 1  = 33, so 4 x 11 = 44

The tree is 48 feet tall. This can be determined by using the ratio of the shadows. The ratio of the pole's shadow to the tree's shadow is 33. This means that for every 6 feet the pole casts, the tree casts 33 feet. Therefore, if the pole is 8 feet tall, the tree must be 48 feet tall (8 x 6 = 48).

It has taken me 32 minutes to drive 48 km. If the total length of my journey is 146 km and I maintain the same speed, estimate how much longer I will be driving for. this is my questions its muliple choice, the answer ive come to is 1h 25m but thats not one of the answers to chose from what do i do?

Answers

If the total length of the journey is 146 km and he maintain the same  speed, the longer time he will be using for driving  will be 65m.

How can the time be calculated?

The  total length of my journey is 146 km.

Then the remain of the journry to reach 146 km = 146- 48 = 98

Then the if the same speed is maintained the estimate of  longer time he will be using for driving  will be calculated as :

(32 * 98)/48

Then get the productor quotient = 196/3 = 65 minutes

Therefore, option E is correct.

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MISSING OPTIONS:

A. 32

B.40

C. 52

D. 60

E.65

Prove limit of function by using definition (delta-epsilon)​

Answers

Answer:

Refer to step-by-step

Step-by-step explanation:

Prove the following, [tex]\lim_{x \to \ 2} 2^{x}=4[/tex], [tex]\lim_{z \to \ -1} 3^{x}=\frac{1}{3}[/tex], and [tex]\lim_{x \to \ 1} e^{x-1} = 1[/tex].

For part f:

Plug in the value of the limit, 2,

[tex](2)^{2} =4[/tex]

Thus we proved the limit.

For part g:

Plug in the value of the limit, -1,

[tex]3^{(-1)}[/tex]=>[tex]3^{-1}[/tex]=>[tex]\frac{1}{3^{1} }=\frac{1}{3}[/tex]

Thus we proved the limit.

For part h:

Plug in the value of the limit, 1,

[tex]e^{(1)-1}[/tex]=>[tex]e^{1-1}[/tex]=>[tex]e^{0}=1[/tex]

Thus we proved the limit.

Jim rented a truck for one day. There was a base fee of 16.99, and there was an additional charge of 88 cents for each mile. Jim had to pay 149.87 when he returned the truck. For how many miles did he drive the truck?

Answers

Answer:

Step-by-step explanation: Total Cost: TC = $126.07

Base fee: B = $16.95

Rate per mile: r = $0.88/mile

Distance (miles) : d -->this is what we need to find

The general formula is:

TC = B + r*d

In this problem:

$126.07 = $16.95 + ($0.88/mile)*d

126.07 - 16.95 = 0.88d    (I dropped the units starting here)

d = (126.07 - 16.95)/0.88 = 124 miles  (notice the parentheses. subtraction has a lower precedence than division.  If you omitted them when using a graphing calculator you would get an incorrect answer)

So the answer is 124 miles.

Simplify. Negative square root of 16y^2 if y<0

Answers

Answer:

The square root means that IF you square the square root, you will get the original number. Thus, 16 squared = 256 and y^2 squared = (y^2)(y^2) = y^4

Step-by-step explanation:

Terrence made a scale drawing of a boarding school. The scale he used was
7 centimeters: 3 meters. If the actual length of a building at the school is 300 meters, how
on is the building in the drawing?

Answers

The building in the drawing is 700 centimeters or 7 meters.

Define the unitary method.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

What are ratios and proportions?

An ordered pair of integers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you might express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.

Given 3 meters on real is equal to 7 centimeters on drawing

i.e. 3 meters=7 centimeters

or, 1 meter = 7/3 centimeters

We need to find reading for 300 meters so,

or, 300 meters=7/3*300 centimeters

                        =700 centimeters or 7  meters

Therefore the building in the drawing is 700 centimeters or 7 meters.

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Solve the system of linear equations using the elimination method: 2x + 2y = 16 -2x +3y = 14

Answers

Answer:

Step-by-step explanation:

soulution:

        given,              2x +2x = 16 - 2x + 3y = 14

                                 2x + 2x = -2y +3y = 14 -16

                                       4x = y = -2

                                         y = 4x = -2

                                          y = x =  4/-2

                                         x = y = -2 ans

I need some help please (multiple choice). Find the points of discontinuity

Answers

9514 1404 393

Answer:

  A (-2), A

Step-by-step explanation:

A function will have a point of discontinuity at a point where it is undefined. Rational functions will be undefined where the denominator is zero. This function will have denominator zeros at x = -2, so is discontinuous there.

__

As x approaches -2 from either direction, the value of y approaches positive infinity. The type of discontinuity can be described as an infinite discontinuity.

A spinner contains four sections: red, blue, green, and yellow. Joaquin spins the spinner twice. The set of outcomes is given as S = {RB, RG, RY, RR, BR, BG, BY, BB, GR, GB, GY, GG, YR, YB, YG, YY}. If the random variable is “yellow (Y),” which of the following is the correct probability distribution? A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0.5625, 0.375, 0.0625. A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0.75, 0.25, 0. A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0.5, 0.375, 0.125. A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0.5, 0.25, 0.25.

Answers

Answer:

The first table is correct

Step-by-step explanation:

x=Yellow   Prob

0               .5625

1                .375

2               .0625

The attached document shows a tree diagram with all 16 outcomes.  Each outcome has probability 1/16.

The numbers at the right show the numbe of yellows for each outcome.  There are 9 outcomes with 0 yellow (prob = 9/16).

There are 6 outcomes with 1 yellow (prob = 6/16)

There is 1 outcome with 2 yellow (prob = 1/16)

Sorry about the watermarks--distracting!

Based on the given set of values, we can note that the first table is correct

What is Probability?

This refers to the calculations of the way an event is most likely to occur.

Hence, the table for  x=Yellow   Prob

0               .5625

1                .375

2               .0625

For each outcome, there is probability 1/16.

The numbers at the right show the number of yellows for each outcome. There are 9 outcomes with 0 yellow (prob = 9/16).

There are 6 outcomes with 1 yellow (prob = 6/16)

There is 1 outcome with 2 yellow (prob = 1/16)

Hence, because the calculated values are consistent with the values in the first table, then we can conclude that the first table is correct.


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Sam rolls a fair dice and flips a fair coin.
What is the probability of obtaining an odd number and a head?​

Answers

There are six sides to a die and only one side has a two, so the probability of rolling a 2 is 1/6.

There are two sides to a coin and only one side has a head, so the probability of its coming up heads is 1/2.

The two events (rolling a die and flipping a coin) are independent, so the probability of both events occurring is (1/6)(1/2) = 1/12

What Is The Distance Between These Two Numbers?
(7,7) and (-9,7)

Answers

Left 16 because of x and y stays the same

The Organic Cafe has 20 pastries for sale, including 6 poppy seed muffins.
What is the probability that a randomly selected pastry will be a poppy seed muffin?
Write your answer as a fraction or whole number.

Answers

Answer:

3/10

Step-by-step explanation:

6/20

Reduce

3/10

Ellie wants double her savings of £9000 by investing her money for 18 years what interest rate does she need to look for?

Answers

She need a interest rate of 5.56%

Your wealth increases more quickly due to compound interest. Due to the fact that you will receive returns on both the money you invest and returns at the conclusion of each compounding period, it causes a sum of money to increase more quickly than with simple interest. As a result, you won't need to save as much money to achieve your objectives.

What are the 3 types of compound interest?Formula for Monthly Compound Interest. 12 times a year are used to calculate interest that is compounded monthly.Formula for Quarterly Compounding. Four times a year are used to calculate interest that is compounded quarterly.Formula for Daily Compound Interest.Formula for Annual Compound Interest.

We are aware that A = P(1+rt), where A represents the Final Investment Value, is the simple interest formula.

P denotes the principal amount to be invested, r the interest rate, and t the number of time periods.

The formula for this issue is t = 18 Years, p = £90,000.

A = £9000 *2 => £18000\sr = ?

Fill in the appropriate values in the formula above to find 18000 = 9000(1+18r).

18r = 2 - 1\sr = 1/18\sr = 0.0555555556

Extend 0.0556

Ratio conversion: r = 0.0556 * 100 = 5.56%

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She need a interest rate of 5.56% .Your wealth increases more quickly due to compound interest.

What are the 3 types of compound interest?

Formula for Monthly Compound Interest. 12 times a year are used to calculate interest that is compounded monthly.

Formula for Quarterly Compounding. Four times a year are used to calculate interest that is compounded quarterly.

Formula for Daily Compound Interest.

Formula for Annual Compound Interest.

We are aware that A = P(1+rt), where A represents the Final Investment Value, is the simple interest formula.

P denotes the principal amount to be invested, r the interest rate, and t the number of time periods.

The formula for this issue is t = 18 Years, p = £90,000.

A = £9000 *2 => £18000\sr =

Fill in the appropriate values in the formula above to find 18000 = 9000(1+18r).

18r = 2 - 1\sr = 1/18\sr

= 0.0555555556

Extend 0.0556

Ratio conversion: r = 0.0556 * 100 = 5.56%

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WILL MARK BRAINLIEST!

Calculate m < VXW in Parallelogram XYVW

Answers

M < VXW = 68 degrees

Remember the shape is a parallelogram so you can use alternate interior angles to find the angle of the right triangle. Then you subtract from 180 so it’s 180-52-60=68

Which function represents the following graph?
y = square root x -3 + 3
y = square root x + 3 + 3
y = 3 square root x - 3 + 3
y = 3 square root x + 3 + 3

Answers

Answer:

D. y = 3√x+3 +3

Step-by-step explanation:

The correct answer to your question is the fourth option, y = 3 square root x + 3 + 3.

Answer: D

Step-by-step explanation:

After a 40% discount, The price of a T-shirt was $30. What was the price before the discount?

Answers

Answer:

$18

Step-by-step explanation:

For every boy taking classes at the music school, there are 3 girls who are taking classes at the school. If there are 128 students taking classes, write and solve a proportion to predict the number of girls taking classes at the school.

Answers

Answer:

There are 96 girls taking classes at the music school, while the number of boys is 32.

Step-by-step explanation:

Since for every boy taking classes at the music school, there are 3 girls who are taking classes at the school, if there are 128 students taking classes, for write and solve a proportion to predict the number of girls taking classes at the school you must perform the following calculation:

1 + 3 = 4

128/4 x 3 = Girls

32 x 3 = Girls

96 = Girls

Therefore, there are 96 girls taking classes at the music school, while the number of boys is 32.

Find the volume.
Need help

Answers

Just multiply everything
Volume of a rectangular prism

The volume of a rectangular prism is found by multiplying its length, width, and height.

[tex]\large\tt\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:V=l\times w\times h[/tex]

[tex]\tt V=l\times w\times h[/tex][tex]\tt V=8m\times 4.5m \times 6m[/tex][tex]\tt V={216m^3}[/tex]

Therefore, the volume of a rectangular prism is 216m³

Another formula can be used if the area of the base (B) is given.

[tex]\large\tt\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:V=B\times h[/tex]

[tex] \tt V = B \times h[/tex][tex]\tt V = 36m^2\times 6m[/tex][tex] \tt V = {216m^3}[/tex]

Therefore, the volume of a rectangular prism is 216m³

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