susan has a total of 31 books. amy has four less than seven times the number of books compared to susan. write an equation for this situation.

Answer:

Step-by-step explanation:

Thales theorem tells us that B is a 90

and therefore from W to o (center) is 45°

we know the total of the arc VoW is 98

180= 8x +1  + 45 +98

36 = 8x

4.5 = x

x = 4.5

Answer:

53 weeks

Step-by-step explanation:

Given :

Reams of paper used :

3 reams = 4 Week

A case of 5 paper = 8 reams

Hence,

5 cases of paper = (8 * 5) = 40 reams

If :

3 reams = 4 weeks

40 reams = x

Cross multiply :

3x = 40 * 4

3x = 160

x = 160 / 3

x = 53. 333

Approximately 53 weeks (nearest whole number)

Answer:

A and C

Step-by-step explanation:

Edge 2021

The partial sums are correct are Option A and Option C. That is:  (2) and (28/9).

A partial sum (simply put) refers to the sum of the various parts that make up a sequence.

For example, in the above sequence given as:
2 + (2/3) + (4/9) + (8/27) + (16/81) + (32/243) + ...

A partial sum would be:

2 + (2/3).

In this case, thus,

Learn more about partial sums at:
https://brainly.com/question/17464148
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Answer:

B

Step-by-step explanation:

True for all x.

Answer:

b

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Image might help

Answer:

[tex]y = - \frac{6}{8}x - 3 [/tex]

Answer:

972 junior executives should be surveyed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

35% of junior executives left their company within three years.

This means that [tex]\pi = 0.35[/tex]

0.95 = 95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

To update this study, how many junior executives should be surveyed?

Within 3% of the proportion, which means that this is n for which M = 0.03. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.96\sqrt{\frac{0.35*0.65}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.96\sqrt{0.35*0.65}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.35*0.65}}{0.03}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.35*0.65}}{0.03})^2[/tex]

[tex]n = 971.2[/tex]

Rounding up:

972 junior executives should be surveyed.

Answer:

It means that the both sides of the expression in the given equation must be/are congruent.

Hope this helps!

Answer:

103.68

Step-by-step explanation:

Answer:

103.68

To solve you would convert the percent to decimal form .72.

Then divide by 144

.72/144=103.68

your answer is 103.68

Answer:

The answer is A [   5(a + 6)   ]

Step-by-step explanation:

Answer:-18

-6

0

3

9

Step-by-step explanation:

Answer:

[tex]P = 8 - 42x + 56y + 12xy[/tex]

Step-by-step explanation:

Given

[tex]Length = 4 - 7(3x + 4y)[/tex]

[tex]Width = 3x(2y)[/tex]

Required

The perimeter (P)

This is calculated as:

[tex]P = 2 * (Length + Width)[/tex]

[tex]P = 2 * (4 - 7(3x + 4y) + 3x(2y))[/tex]

Open bracket

[tex]P = 2 * (4 - 21x + 28y + 6xy)[/tex]

Open bracket

[tex]P = 8 - 42x + 56y + 12xy[/tex]

The surface area of what shape exactly?

Answer:

Step-by-step explanation:

I'm assumung this is a cube sense cubes will equal the same for all 6 sides we just have to find 1 side then just multiply by 6 to get the answer easy peasy!!! so 4 × 4 = 16 and 16 × 6 = 96 so 96 is our surface area Hope that helps!

Answer:

B is the answer to the question.

Step-by-step explanation:

Answer:

225°

Step-by-step explanation:

[tex] \frac{5\pi}{4} = \frac{5 \times 180 \degree}{4} = \frac{900 \degree}{4} = 225 \degree \\ [/tex]

Answer:

16.

Step-by-step explanation:

Is there a picture?

Answer:

-3

Step-by-step explanation:

just plug in the points on the line into y2-y1/x2-x1

Answer:

y = |x-6|-4

Step-by-step explanation:

If the function is translated left 6, you subtract 6 from the x value. Then if you go down 4, you are subtracting 4 from the y value. Before going down, y = |x-6|. So subtract 4 from that and you get y = |x-6|-4.

[tex]\pink{\bold{\underline{\underline{hello ♡}}}}[/tex]

Since 2x = 6, we have to divide each side by 2 to find x.

6÷2= 3

Our answer is 3.

Answer:

DL/dt = 1000 miles/hour

Step-by-step explanation:

Let´s call A Point for the airplane at 70 miles from the point O (converging point), and point B for the airplane at 240 miles from point O.

Then the three-points A, B, and O shape a right triangle with legs (distances from each of the airplane to point O, and hypotenuse L distance between the two airplanes

Then according to Pithagoras´theorem:

L²  =  (AO)²  + (BO)²

At the moment t when the airplanes are far away as 70 and 240 miles per hour

L²  = (70)²  + ( 240)²

L²  = 4900 + 57600

L = √62500

L = 250 miles

In general

L²  = x² + y²

That equation is always valid for a right triangle if the airplanes are approaching keeping the right triangle shape then:

L² = x² + y²        where x and y are the legs ( that legs change in time then):

Tacking derivatives on both sides of the equation

2*L*DL/dt = 2*x*Dx/dt + 2*y*Dy/dt

By substitution:    since Dx/dt = 280 m/h   and Dy/dt = 960 m/h

2*(250)*DL/dt = 2*70*280 + 2*(240)*960

500*DL/dt  =  39200 + 460800

DL/dt  =  500000/ 500

DL/dt = 1000 miles/hour

Answer:

V=196 cm cubed

Step-by-step explanation:

Formula: 1/3 Base * Height

Base = 7*7 = 49

49 * 12 = 588

588 * 1/3 = 196

There you go :)

Answer:

Measure of exterior angle ABD = 136°

Step-by-step explanation:

Given:

measure of ∠A = (2x + 2)°

measure of ∠C = (x + 4)°

measure of ∠B = x°

Find:

Measure of exterior angle ABD

Computation:

Using angles sum property

∠A + ∠B + ∠C = 180°

So,

(2x + 2) + (x + 4) + x = 180

4x + 6 = 180

4x = 176

x = 44

So,

measure of ∠B = x°

measure of ∠B = 44°

Measure of exterior angle ABD = 180 - measure of ∠B

Measure of exterior angle ABD = 180 - 44

Measure of exterior angle ABD = 136°

Answer:

58 units

Step-by-step explanation:

[tex]7 \times 10 = 70[/tex]

[tex]6 \times 2 = 12[/tex]

[tex]70 - 12 = 58[/tex]

Answer:

The answer is f(x) =√x+4. It would be last one.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation: