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IgorLugansk [536]

3 years ago

13

Identify the corresponding word problem given the equation: x = 10.20 × 9 A) At a restaurant, William and nine friends divided t

he bill evenly. If each person paid $10.20, what was the total bill? B) At a restaurant, William and eight friends divided the bill evenly. If each person paid $10.20, what was the total bill? C) At a restaurant, William and nine friends divided the bill evenly. If the total bill was $91.80, what did each person pay? D) At a restaurant, William and eight friends divided the bill evenly. If the total bill was $91.80, what did each person pay?

1 answer:

Lynna [10]3 years ago

7 0

I think it is B. and the amount that they each need to pay is $1.13

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Give work for equations following:<br><br> -x+2y<-4<br> 2x+3y>6<br><br> thanks sooooo much!!!!

Schach [20]

Answer: See below

Step-by-step explanation:

A) $-x+2y < -4$

$-x+2y-2y < -4-2y$

$-x < -4-2y$

Multiply both sides by -1 and reverse the inequality:

$\left(-x\right)\left(-1\right) > -4\left(-1\right)-2y\left(-1\right)$

$x > 4+2y$

B) $2x+3y > 6$

$2x+3y-3y > 6-3y$

$2x > 6-3y$

$\frac{2x}{2} > \frac{6}{2}-\frac{3y}{2}$

$x > \frac{6-3y}{2}\\x > 3-\frac{3y}{2}$

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3 years ago

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Step-by-step explanation:

Givens:

∠RPQ ≅ ∠ RTS

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Statement Reasoning

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5 0

3 years ago

List the following expressions in order from least to greatest. (explain how you calculated the

irga5000 [103]

Step-by-step explanation:

Since d is an decimal, the higher the power of d, the smaller the value.

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3 years ago

Simplifying radicals! Please help me & Show WORK

andriy [413]

Answer:

Solving the radical $4\sqrt{2}(-4\sqrt{15}+3\sqrt{18})$ we get $\mathbf{-16\sqrt{30}+72}$

Step-by-step explanation:

We need to simplify the radical: $4\sqrt{2}(-4\sqrt{15}+3\sqrt{18})$

Prime factors of 18 are: 2x3x3

Replacing $\sqrt{18}$ with its factors

$4\sqrt{2}(-4\sqrt{15}+3\sqrt{18})\\=4\sqrt{2}(-4\sqrt{15}+3\sqrt{2\times3\times3})\\=4\sqrt{2}(-4\sqrt{15}+3\sqrt{2\times3^2})$

We know that $\sqrt{3^2}=3$

$=4\sqrt{2}(-4\sqrt{15}+3\times3\sqrt{2})\\=4\sqrt{2}(-4\sqrt{15}+9\sqrt{2})$

Multiplying $4\sqrt{2}$ with terms inside the bracket

$=4\sqrt{2}(-4\sqrt{15})+4\sqrt{2}( 9\sqrt{2}))\\=-16\sqrt{2}\sqrt{15}+36\sqrt{2} \sqrt{2}$

We know that $\sqrt{2} \sqrt{2}=2$

$=-16\sqrt{2*15}+36(2)\\=-16\sqrt{30}+72$

So, solving the radical $4\sqrt{2}(-4\sqrt{15}+3\sqrt{18})$ we get $\mathbf{-16\sqrt{30}+72}$

3 0

3 years ago

If f(x) varies directly with x2, and f(x) = 40 when x = 2, find the value of f(5).

Paraphin [41]

Answer:

C.250

Step-by-step explanation:

If f(x) varies directly with x^2

f(x) = k * x^2

f(x) = 40 when x=2. Substitute these values in

40 = k(2)^2

40 = k*4

Divide by 4

40/4 = 4k/4

10 =k

f(x) = 10x^2

Now we want to find f(x) when x=5. Substituting

f(5) = 10 *5^2

f(5) = 10 *25

f(5) = 250

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4 years ago