The quotient of the two values in a ratio relationship is called the _____ of the ratio.

Answer:

Part 1 : 22

Part 2 : 34

Step-by-step explanation:

Answer:

18+6=24

Step-by-step explanation:

Answer:

y=3x-250

Step-by-step explanation:

Slope intercept form: y=mx+b

Step 1) to find slope, use (y2-y1)/(x2-x1)

(101-77)/(117-109) = 3

m = 3

Step 2) determine y-intercept (b)

109 * 3 = 327

77-327 = -250

b=-250

y=3x-250

Answer:

look up the packet name and after that put answer key

Step-by-step explanation:

.

Since there are complementary angles, the value of angle B is 39°.

Angle A = 7x + 23°

Angle B = 5x + 19°

It should be noted that the total angles in a complementary angle are equal to 90°.

Therefore, we need to add angle A and B together and then equate them to 90°. This will be:

7x + 23° + 5x + 19° = 90°

Collect like terms

12x + 42° = 90°

12x = 90° - 42°

12x = 48°

x = 48°/12

x = 4°

Angle A = 7x + 23° = 7(4) + 23° = 28° + 23° = 51°

Angle B = 5x + 19° = 5(4) + 19° = 20° + 19° = 39°

The value of angle B is 39°.

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Answer:

x=5

Step-by-step explanation:

Answer: x =-9/5

Step-by-step explanation:

Answer:

using the formula x/a + y/b =1

a: slope intercept on the x axis

b:slope intersect on the y axis

x/0 + y/3 = 1 (since x/0 is undefined ,the slope doesn't exist and it is impossible for a slope to be linear)

Answer:

Ewan

Step-by-step explanation:

ewan ko na po sorry po at

kasi hindi kopo maintindihan

tapus hindi naman po ako

magaling

Answer:

Option B gives Ryan more earnings this weekend

Step-by-step explanation:

Option A = $7.75×7 hours= $54.25

Option B= 5% commission, if the play gets $2100, he will earn $105

Answer:

1. 279,936

2. 727

4. 4,096

Answer:

Mean: [tex]93.2\; \rm ^{\circ} F[/tex].

Standard deviation: [tex]4.086\; \rm ^{\circ} F[/tex].

Step-by-step explanation:

Consider a random variable [tex]X[/tex] with mean [tex]\overline{X}[/tex] and variance [tex]{\rm Var}(X)[/tex].

If a random variable [tex]Y[/tex] is obtained by linearly transforming [tex]X[/tex] for some constants [tex]m \ne 0[/tex] and [tex]b[/tex], then the mean of [tex]Y\![/tex] would be:

[tex]\overline{Y} = m\, \overline{X} + b[/tex].

[tex]\mathrm{Var}(Y) = m^{2} \, \mathrm{Var}(X)[/tex].

The standard deviation of a random variable is the square root of its variance. Therefore, the standard deviation of [tex]Y[/tex] would be:

[tex]\begin{aligned}\mathrm{SD}(Y) &= \sqrt{\mathrm{Var}(Y)} \\ &= \sqrt{m^{2}\, \mathrm{Var}(X)} \\ &= m\, \sqrt{\mathrm{Var}(X)} \\ &= m\, \mathrm{SD}(X)\end{aligned}[/tex].

In this question, the random variable [tex]F[/tex] is obtained by linearly transforming [tex]C[/tex] using the constants [tex]m = (9/5)[/tex] and [tex]b = 32[/tex]. That is:

[tex]F = (9/5)\, C + 32[/tex].

It is given that mean [tex]\overline{C} = 34[/tex] while standard deviation [tex]\mathrm{SD}(X) = 2.27[/tex]. The mean and standard deviation of [tex]F[/tex] obtained from the linear transformation would be:

[tex]\begin{aligned}\overline{F} &= m\, \overline{C} + b \\ &= (9/5) \times 34 + 32\\ &= 93.2\end{aligned}[/tex].

[tex]\begin{aligned}\mathrm{SD}(F) &= m\, \mathrm{SD}(C) \\ &= (9/5) \times 2.27 = 4.086\end{aligned}[/tex].

Thus, when measured in degrees Fahrenheit, the corresponding mean would be [tex]93.2\; \rm ^{\circ} F[/tex] and and standard deviation would be [tex]4.086\; \rm ^{\circ} F[/tex].

22 minutes is spent doing aerobics and 38 minutes doing stretching

Let x represent the amount of time spent doing aerobics, Let y represent the amount of time spent doing stretching.

Since the goal is to do a 60-minute workout, hence:

x + y = 60     (1)

Also, 416 calories needs to be burnt hence:

12x + 4y = 416    (2)

We need to solve equation 1 and 2 simultaneously; multiply equation 1 by 4 and subtract the result from equation 2, hence:

8x = 176

x = 22 minutes

Put x = 22 in (1)

22 + y = 60

y = 38 minutes

Therefore 22 minutes is spent doing aerobics and 38 minutes doing stretching.

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[tex] \frac{4x + 16}{12} = x - 4 \\ = > 4x + 16 = 12(x - 4) \\ = > 4x + 16 = 12x - 48 \\ = > 16 + 48 = 12x - 4x \\ = > 64 = 8x \\ = > x = \frac{64}{8} \\ = > x = 8[/tex]

x = 8

Answer:

x = 15

Step-by-step explanation:

3x + 14 = 59

subtract 14 from both sides

3x = 45

divide both sides by 3

x = 15

Answer:

15

Step-by-step explanation

Subtract 14 from both sides and the do 45 divided by 3 and it gives you your answer 15

Answer:

no.

Step-by-step explanation:

134% is 134/100, or 1.34

Answer:

hey there,

because of transversal line

Answer:

y=5

AQ=11

QX=14

Q is not a midpoint

Step-by-step explanation:

A line segment can be divided into equal or unequal segments

The values of x, AQ and QX are 5, 11 and 14.

The given parameters are:

[tex]\mathbf{AX = 25}[/tex]

[tex]\mathbf{AQ = 2y + 1}[/tex]

[tex]\mathbf{QX = 3y - 1}[/tex]

[tex]\mathbf{AX = 25}[/tex] can be rewritten as:

[tex]\mathbf{AQ + QX =25}[/tex]

Substitute values for AQ and QX

[tex]\mathbf{2y + 1 + 3y - 1 =25}[/tex]

Execute like terms

[tex]\mathbf{5y =25}[/tex]

Divide both sides by 5

[tex]\mathbf{y =5}[/tex]

Substitute 5 for y in [tex]\mathbf{AQ = 2y + 1}[/tex] and [tex]\mathbf{QX = 3y - 1}[/tex]

[tex]\mathbf{AQ = 2 \times 5 + 1 = 11}[/tex]

[tex]\mathbf{QX = 3 \times 5 - 1 = 14}[/tex]

Hence, the values of x, AQ and QX are 5, 11 and 14.

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Answer:

4

Step-by-step explanation:

32 divided by 8

Answer:

there are 900 boys in the school

15/100*1500

Answer:

Liz should shop at the store with the item with a reasoning price in other words the one that costs less.

Step-by-step explanation:

You didn't give the stores prices but that would be what I would think.

Answer:

=4b^2−b+1

Step-by-step explanation:

4b2+−2b+7b+−6b+1

4b2+−2b+7b+−6b+1=(4b2)+(−2b+7b+−6b)+(1)

=4b^2−b+1

4b²−2b+7b−6b+1

first combine light terms.

[tex] {4b}^{2} - 2b + 7b - 6b + 1[/tex]

light terms equal:

[tex] - 2b + 7b - 6b[/tex]

let's solve:

[tex] {4b}^{2} - 2b + 7b - 6b + 1[/tex]

[tex] = { 4b}^{2} - b + 1[/tex]

Answer:

5 gallons

Step-by-step explanation:

1) How much did Helen spend per gallon?

16.72/8 = $2.09/gallon

2) 2.09g = 10.45

10.45/2.09 = g