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3 years ago

Nigel paints 5/4 square yards in 1/3 hour.How much did he paint in 5 hours

Mathematics

1 answer:

White raven [17]3 years ago

6 0

Answer:

$18\frac{3}{4}\ yd^{2}$

Step-by-step explanation:

we know that

using proportion

$\frac{(5/4)}{(1/3)}\frac{yd^{2}}{hours}=\frac{x}{5}\frac{yd^{2}}{hours}\\\\x=5*(5/4)/(1/3)\\\\x=\frac{75}{4}\ yd^{2}\\\\x=18\frac{3}{4}\ yd^{2}$

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liraira [26]

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Difference:-

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4 0

2 years ago

Plot point C(2,7). If M is the midpoint of CD , what are the coordinates of D?

Y_Kistochka [10]

Answer:

The coordinates of D is (-4,-9)

Step-by-step explanation:

Given

C = (2,7)

M=(-1,-1) ----- Missing part of question

Required

Determine the coordinates of D

Let the coordinates of D be (x₂,y₂)

We'll solve this question using mid point formula;

$M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Where

$C(x_1,y_1) = (2,7)$ and $M(x,y) = (-1,-1)$

Put these values in the formula

$(-1,-1) = (\frac{2+x_2}{2},\frac{7+y_2}{2})$

By comparison;

$-1 = \frac{2+x_2}{2}$ and $-1 = \frac{7+y_2}{2}$

$-1 = \frac{2+x_2}{2}$

Multiply both sides by 2

$-2 = 2 + x_2$

Subtract 2 from both sides

$-2 -2 = x_2$

$x_2 = -4$

$-1 = \frac{7+y_2}{2}$

Multiply both sides by 2

$-2 = 7 + y_2$

Subtract 7 from both sides

$-2 - 7 = y_2$

$y_2 = -9$

Hence, the coordinates of D is (-4,-9)

4 0

3 years ago

Allen drove 90 miles in 2 and 1/4 hours at a constand speed, how many miles did he drive in one hour.

Bumek [7]

Use property of proportion:

miles time (hs)
90 2.25
x 1

x = 90 ÷ 2.25
x = 40 miles

8 0

2 years ago

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nevsk [136]

Answer:

$x = 5$

Step-by-step explanation:

$3x + 11 = 26$

$3x = 15$

$x = 5$

5 0

3 years ago

The triangular park shown below is going to be surrounded by a fence the dimensions of the park are given in feet. How many feet

Ksenya-84 [330]

Answer:

its 65

Step-by-step explanation:

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3 years ago