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3 years ago

Can someone please help me. And explain it please

Mathematics

1 answer:

Semmy [17]3 years ago

8 0

We know the area of a small square is 24 in².

Assuming the small rectangles are all equal in area, the total area of the window is equal to 6 x 24 = 144 in².

Now looking at the big window, the total area = width x length so:
144 = 18 x width
width = 144 ÷ 18 = 8 in

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One and two third minus two and two third

jeyben [28]

Answer:

$1 \frac{2}{3} - 2\frac{2}{3} = -1$

Step-by-step explanation:

$1\frac{2}{3} - 2 \frac{2}{3\\} \\\\\frac{5}{3} - \frac{8}{3} = \frac{-3}{3} \\ \\\frac{-3}{3} = -1$

Hope this helps! :)

3 0

3 years ago

Which set of side lengths form a right triangle? A. 2 inches, 3 inches, 4 inches B. 6 inches, 8 inches, 10 inches C. 8 inches, 9

Vanyuwa [196]

Answer:

D 10 inches

Step-by-step explanation:

3 0

3 years ago

The weight of Jane and Jessica was in the ratio of 8 : 9. Jane gained 2 kg while Jessica lost 4 kg. They then had the same weigh

postnew [5]

Answer:

48 kg

Step-by-step explanation:

The given relations can be used to write a system of equations for the two weights. Those can be solved to find Jane's weight.

<h3>setup</h3>

Let x and y represent Jane's and Jessica's original weight, respectively. The ratio of weights was ...

x/y = 8/9

After the changes in weight, they were equal:

x+2 = y-4

<h3>solution</h3>

Adding 4 to the second equation, we have an expression for y that can be substituted into the first equation.

y = x +6 . . . . . . . . . . solve the second equation for y

x/(x+6) = 8/9 . . . . . . substitute for y in the first equation

9x = 8(x +6) . . . . . . . multiply by 9(x+6)

x = 48 . . . . . . . . . . . simplify and subtract 8x

Jane weighed 48 kg at first.

_____

<em>Alternate solution</em>

The original difference in "ratio units" was 9-8 = 1 ratio unit. We find that this corresponds to 6 kg after the weight changes make the weights equal. Then 8 ratio units will be 8(6 kg) = 48 kg—Jane's original weight.

(This mental solution is virtually the same as the solution using equations shown above.)

3 0

2 years ago

Y = x and y =x^2 - 2

maxonik [38]

Answer:

(-1, -1) and (2, 2)

Step-by-step explanation:

Substitute for y in the first equation and solve the quadratic.

x = x^2 -2

x^2 -x -2 = 0 . . . . subtract x

(x -2)(x +1) = 0 . . . .factor

Solutions are the values of x that make these factors be zero:

x = 2, x = -1

Since y=x, the solutions are ...

(x, y) = (-1, -1) and (2, 2)

6 0

4 years ago

Mai-Li has 5 1/8 yd of material her new shirt will take 2 3/4 yd how much material will she have left after the skirt is made.

Slav-nsk [51]

First you would have to get them to have the same denomitator so 2 3/4 is the same as 2 6/8 but u cant subtract 1 by 6 so u move 1 8/8 over from 5 1/8 and get 4 9/8 and then u subtract and get 2 3/8

7 0

3 years ago