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2 years ago

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Four friends purchase 18.4 pounds of peaches. The peaches cost $1.75 per pound. The friends share the cost of the peaches equall

y. Enter the amount that each person pays.

1 answer:

KiRa [710]2 years ago

7 0

18.4 x 1.75 = $32.20
32.20 / 4 = $8.05
Answer each friend paid $8.05

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Help please?<br><br><br> What are the factors of the product represented below?

Ilia_Sergeevich [38]

Answer:

B

Step-by-step explanation:

count how many x^2 there are because they would tell you what your answer is.

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2 years ago

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Blake and James are planning to go on a trip. Blake already has some money saved. She earns $96 more by working overtime. James

rosijanka [135]

Blake saved $\bold{\$ 433.80}$

Option - A

<u>SOLUTION: </u>

Given, Blake and James are planning to go on a trip.

Blake already has some money saved.

Let the amount saved by Blake be $\$ n$ .

She earns $\$96$ more by working overtime.

Then, total amount by Blake $=\$(n+96)$

James has $\$ 53$ more than 4 times the amount of money that Blake has saved.

Then, total amount by James will be $\$ 53+4 \times \$ n=\$(4 n+53)$

If they have $\$2,318$ in all, we have to find how much money had Blake originally saved

Now, total amount = $\$2318$

$\begin{array}{l}{\rightarrow \text { Amount by Blake }+\text { amount by James }=2318} \\\\ {\rightarrow \mathrm{n}+96+4 \mathrm{n}+53=2318 \rightarrow 5 \mathrm{n}+149=2318 \rightarrow 5 \mathrm{n}=2318-149 \rightarrow 5 \mathrm{n}=2169 \rightarrow \mathrm{n}=433.8}\end{array}$

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3 years ago

Let L be a tangent line to the hyperbola x y = 2 at x = 9 . Find the area of the triangle bounded by L and the coordinate axes.

mafiozo [28]

Answer:

$A = 4$

Step-by-step explanation:

The equation of the slope of the tangent line L is obtained by deriving the equation of the hyperbola:

$y = \frac{2}{x}$

$y'=-2\cdot x^{-2}$

The numerical value of the slope is:

$y' = -2 \cdot (9)^{-2}\\y' = -\frac{2}{81}$

The component of the y-axis is:

$y = \frac{2}{9}$

Now, the tangent line has the following mathematical model:

$y = m \cdot x + b$

The value of the intercept is found by isolating it within the equation and replacing all known variables:

$b = y - m \cdot x$

$b = \frac{2}{9}-(-\frac{2}{81} )\cdot (9)\\b = \frac{4}{9}$

Thus, the tangent line is:

$y = -\frac{2}{81}\cdot x + \frac{4}{9}$

The vertical distance between a point of the tangent line and the origin is given by the intercept.

$d_{y} = \frac{4}{9}$

In order to find horizontal distance between a point of the tangent line and the origin, let equalize y to zero and clear x:

$-\frac{2}{81}\cdot x + \frac{4}{9}=0$

$-\frac{2}{9}\cdot x + 4 = 0$

$x = 18$

$d_{x} = 18$

The area of the triangle is computed by this formula:

$A = \frac{1}{2}\cdot d_{x}\cdot d_{y}$

$A = \frac{1}{2}\cdot (18)\cdot (\frac{4}{9} )$

$A = 4$

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3 years ago

Which inequality is shown in this graph

Katena32 [7]

ANSWER

$y \leqslant - 2x - 2$

EXPLANATION

The boundary line passes through (-2,2) and (0,-2).

The slope of this line is

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$m = \frac{ - 4}{2} = - 2$

The y-intercept is , c=-2.

The slope-intercept form of this line is given by;

$y = mx + c$

We substitute values to obtain;

$y = - 2x - 2$

Since the lower half-plane is shaded the required inequality is

$y \leqslant - 2x - 2$

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3 years ago

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Aleks04 [339]

Answer:

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Step-by-step explanation:

Volume for a triangular prism = $\frac{1}{2}$ a · c · h

A = Height. C = Width. H = Length.

A = 3 yd. C = 8 yd. H = 6 yd.

V = 114 yd.

V = 114 yd ÷ 2 yd = 72 $yd^{3}$ .

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3 years ago