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2 years ago

Adam is a salesperson in a video store. He is paid $100 every week plus a commission

Mathematics

1 answer:

olya-2409 [2.1K]2 years ago

8 0

Answer: 100 + x = $1567

Step-by-step explanation:

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Create a system of equations that includes one linear equation and one quadratic equation.

s344n2d4d5 [400]

Answer:

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Step-by-step explanation:

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2 years ago

An eight - sided polygon is a(n)

Ludmilka [50]

Its called a octagon, hope that helps

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3 years ago

Read 2 more answers

Which two ratios form a proportion?

earnstyle [38]

Step-by-step explanation:

A ; 2 × 12 = 3×4

B; 2 × 12 = 3×6

C ; 2 × 18 = 3×18

D; 2 × 36 = 3× 12

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2 years ago

Which is NOT equivalent to this expression?

Firdavs [7]

Answer:

$15 {g}^{2} + 15g$

Step-by-step explanation:

The given expresion is

$3(5 {g}^{2} + 15g)$

when we expand this expression we get;

$3(5 {g}^{2} + 15g) = 15 {g}^{2} + 45g$

Now let us analyze the options:

First:

$15 {g}^{2} + 45g$

This is equivalent to the given expresion.

Second:

$15({g}^{2} + 3g) = 15{g}^{2} + 45g$

Also equivalent

Third:

$15g({g} + 3) = 15{g}^{2} + 45g$

Also equivalent

Fourth:

$15 {g}^{2} + 15g \ne 15{g}^{2} + 45g$

Not equivalent

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2 years ago

Read 2 more answers

While traveling to and from a certain destination, you realized increasing your speed by 40 mph saved 4 hours on your return. If

Luden [163]

Answer:

The speed driven while returning is 88 mph.

Step-by-step explanation:

We are given that while traveling to and from a certain destination, you realized increasing your speed by 40 mph saved 4 hours on your return.

Also, the total distance of the roundtrip was 420 miles.

Let the speed driven while returning be 'x mph' which means that the speed driven while going was '(x - 40) mph' because it has been given that while returning we have increased the speed by 40 mph.

As we know that the Speed-Distance-Time formula is given by;

$\text {Speed} = \frac{\text{Distance}}{\text{Time}}$ or $\text {Time} = \frac{\text{Distance}}{\text{Speed}}$

So, according to the question;

$\frac{420}{x-40} -\frac{420}{x} = 4 \text{ hours}$ where Distance = 420 miles

$\frac{420x-420(x-40)}{x(x-40)} = 4$

$\frac{420x-420x+16800}{x^{2} -40x} = 4$

$\frac{16800}{x^{2} -40x} = 4$

$4x^{2} -160x= 16800$

$4x^{2} -160x- 16800=0$

$x^{2} -40x- 4200=0$

Now finding the roots of the above equation;

Here a = 1, b = -40 and c = -4200

$D = b^{2} -4ac$

= $(-40)^{2} -4(1)(-4200)$ = 18400

Now, the roots of a quadratic equation is given by;

$x = \frac{-b\pm \sqrt{D} }{2a}$

$x = \frac{-(-40)\pm \sqrt{18400} }{2\times 1}$

So, the two roots of x are : $x = \frac{40-\sqrt{18400} }{2}$ and $x = \frac{40+\sqrt{18400} }{2}$

Solving these two we get; $x = -47.8$ and $x = 87.8$

Here we ignore the negative value of x, so the speed driven while returning is 87.8 ≈ 88 mph.

8 0

2 years ago