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2 years ago

Emerson is making costumes for the

Mathematics

1 answer:

Elis [28]2 years ago

6 0

9514 1404 393

Answer:

13 costumes

Step-by-step explanation:

The amount of fabric used is the product of the amount per costume and the number of costumes.

A = na . . . . . A = total area; n = number of costumes; 'a' = area per costume

46 2/3 = n(3 1/2)

n = (46 2/3)/(3 1/2) = (140/3)/(7/2) = (140/3)(2/7) = 40/3 = 13 1/3

Apparently there is some waste, as Emerson used more fabric than necessary to make 13 costumes.

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35. For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible.

Montano1993 [528]

Answer:

The linear equation for the line which passes through the points given as (-2,8) and $(4,6), is written in the point-slope form as $y=-\frac{1}{3} x-\frac{26}{3}$ .

Step-by-step explanation:

A condition is given that a line passes through the points whose coordinates are (-2,8) and (4,6).

It is asked to find the linear equation which satisfies the given condition.

Step 1 of 3

Determine the slope of the line.

The points through which the line passes are given as (-2,8) and (4,6). Next, the formula for the slope is given as,

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substitute $6 \& 8$ for $y_{2}$ and $y_{1}$ respectively, and 4&-2 for $x_{2}$ and $x_{1}$ respectively in the above formula. Then simplify to get the slope as follows, $m=\frac{6-8}{4-(-2)}$

$\begin{aligned}&m=\frac{-2}{6} \\&m=-\frac{1}{3}\end{aligned}$

Step 2 of 3

Write the linear equation in point-slope form.

A linear equation in point slope form is given as,

$y-y_{1}=m\left(x-x_{1}\right)$

Substitute $-\frac{1}{3}$ for m,-2 for $x_{1}$ , and 8 for $y_{1}$ in the above equation and simplify using the distributive property as follows, $y-8=-\frac{1}{3}(x-(-2))$\\ $y-8=-\frac{1}{3}(x+2)$\\ $y-8=-\frac{1}{3} x-\frac{2}{3}$$

Step 3 of 3

Simplify the equation further.

Add 8 on each side of the equation $y-8=-\frac{1}{3} x-\frac{2}{3}$ , and simplify as follows, $y-8+8=-\frac{1}{3} x-\frac{2}{3}+8$

$y=-\frac{1}{3} x-\frac{2+24}{3}$$\\ $$y=-\frac{1}{3} x-\frac{26}{3}$$

This is the required linear equation.

6 0

1 year ago

Benjamin drove 278 miles in 4 hours.

kondor19780726 [428]

Step-by-step explanation:

$rate \:of \: driving \\ = \frac{278}{4} \\ = 69.5 \: mph$

6 0

3 years ago

Is there are 4 more girls than boys in ms. Raubs class of 28 students what is the ratio of girls to boys

Viefleur [7K]

The ratio of girls to boys would be 16:12 because if you divide 28 by 2 you get 14. subtract 2 to on one of them and add the two to the other. You get 12 and 16. There is a difference of 4 to them and when you add them together you get 28. :)

7 0

3 years ago

The length of a rectangle is 3ft more than it's width. if the area is 28ft^2 find the length and width.

Semmy [17]

What 2 # multiplied together make 28,
7x4
2x14 out of these which one has one side 3ft. more? 7x4

6 0

3 years ago

The area of the parallelogram shown is (35x2 + 46x +15) square meters. If its base is (5x + 3) meters, find

attashe74 [19]

Answer:

(7x + 5)m

Step-by-step explanation:

area = base * height = (35x2 + 46x +15) m²

base = (5x + 3)

Using algebraic division, find the height. SEE ATTACHMENT

height = (7x + 5)

7 0

2 years ago