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2 years ago

School lunch costs $1.25 per day. If there are 21 school days

Mathematics

2 answers:

Juli2301 [7.4K]2 years ago

8 0

It will cost you $26.25 dollar for 21 days.

prohojiy [21]2 years ago

3 0

Answer:

$26.25

Step-by-step explanation:

1.25 per day

21 days

1.25 × 21 = 26.25

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The length of the longer leg of a right triangle is 20 inches more than twice the length of the shorter leg. The length of the h

Alex17521 [72]

Answer:

Step-by-step explanation:

Let x represent the length of the hypotenuse.

Let y represent the length of the the shorter leg.

Let z represent the length of the longer leg.

The length of the longer leg of a right triangle is 20 inches more than twice the length of the shorter leg. It means that

z = 2y + 20

The length of the hypotenuse is 22 inches more than twice the length of the shorter leg. It means that

x = 2y + 22

We would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

(2y + 22)² = y² + (2y + 20)²

(2y + 22)(2y + 22) = y² + (2y + 20)(2y + 20)

= 4y² + 44y + 44y + 484 = y² + 4y² + 40y + 40y + 400

4y² + 88y + 484 = y² + 4y² + 80y + 400

4y² + 88y + 484 = 5y² + 80y + 400

5y² - 4y²+ 80y - 88y + 400 - 484

y² - 8y - 84 = 0

y² + 6y - 14y - 84 = 0

y(y + 6) - 14(y + 6)

y - 14 = 0 or y + 6 = 0

y = 14 or y = - 6

The shorter length cannot be negative hence y = 14 inches

The length of the shorter side is 14 inches.

The length of the hypotenuse is

(2 × 14) + 22 = 50 inches

The length of the longer side is

(2 × 14) + 20 = 48 inches

7 0

3 years ago

The equation of a line is given below . 6x+2y =-18 find the x intercept and the y intercept

vova2212 [387]

Answer: x intercept is -3

y intercept is -9

Step-by-step explanation: 6(0) = 2y=-18, divide both sides by 2, get -9 as a y intercept

6x+2(0)=-18

divide both sides by 6, and get -3 as an x intercept

6 0

2 years ago

What is the quotient of 2/3 divided by 4 in simples form

Alex17521 [72]

Step-by-step explanation:

Quotient of 2/3 divided by 4

= (2/3) / 4

= 2/12

= 1/6.

3 0

2 years ago

Read 2 more answers

The table below shows selected points from a function.

FrozenT [24]

Answer:

Step-by-step explanation:

<em>Rate Of Change Of Functions </em>

Given a function y=f(x), the rate of change of f can be computed as the slope of the tangent line in a specific point (by using derivatives), or an approximation by computing the slope of a secant line between two points (a,b) (c,d) that belong to the function. The slope can be calculated with the formula

$\displaystyle m=\frac{d-b}{c-a}$

If this value is calculated with any pair of points and it always results in the same, then the function is linear. If they are different, the function is non-linear.

Let's take the first two points from the table (1,1)(2,4)

$\displaystyle m=\frac{4-1}{2-1}=3$

Now, we use the second and the third point (2,4) (3,9)

$\displaystyle m=\frac{9-4}{3-2}=5$

This difference in values of the slope is enough to state the function is non-linear

Answer: True

6 0

3 years ago

Jane is making a suit which requires 2 5⁄8 yards for the jacket and 1 3⁄4 yards for the skirt. What's the total amount of materi

Ann [662]

The answer is B. 4 3⁄8 yards. The amount of material needed for the jacket is: x = 2 5/8 yd = 2 + 5/8 = 16/8 + 5/8 = (16+5)/8 = 21/8 yd. The amount of material needed for the skirt is: y = 1 3/4 yd = 1 + 3/4 = 4/4 + 3/4 = (4+3)/4 = 7/4 yd. The total amount of material Jane needs is: x + y = 21/8 + 7/4 = 21/8 + 14/8 = (21+14)/8 = 35/8 = (32+3)/8 = 32/8 + 3/8 = 4 + 3/8 = 4 3/8 yd.

7 0

3 years ago