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Degger [83]
3 years ago
11

The lunch lady had 5 pound of lasagna. If she makes 1/4-pound servings using this amount of lasagna, how many servings can she m

ake?
Mathematics
1 answer:
jekas [21]3 years ago
6 0
She could make 20 servings of lasagna.

There are 4 servings per pound of lasagna, and there are 5 pounds total.
4 x 5 = 20
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Select the correct answer.
Radda [10]

Answer:

(-1\frac{1}{3}, 4\frac{3}{5})

Step-by-step explanation:

To find the exact solution, find the equation for each line. And solve for x and y.

To do this, represent each equation in the slope-intercept form, y = mx + b. Where m is the slope, and b is the y-intercept.

✍️Equation 1 for the line that slopes upwards from left to your right:

Slope = m = \frac{rise}{run} = \frac{2}{1} = 2

b = the point at which the y-axis is intercepted by the line = 7

Substitute m = 2 and b = 7 in y = mx + b

Equation 1 would be:

✔️y = 2x + 7

✍️Equation 2 for the line that slopes downwards from left to your right:

Slope = m = \frac{rise}{run} = -\frac{3}{1} = -3

b = the point at which the y-axis is intercepted by the line = 1

Substitute m = -3 and b = 1 in y = mx + b

✔️Equation 2 would be:

y = -3x + 1

✍️Solve for x and y:

✔️To solve for x, substitute y = -3x + 1 in equation 1.

y = 2x + 7

-3x + 1 = 2x + 7

Collect like terms

-3x - 2x = 7 - 1

-5x = 6

Divide both sides by -5

x = \frac{6}{-5} = -1\frac{1}{5}

✔️To solve for y, substitute x = -1⅕ in equation 2.

y = -3x + 1

y = -3\frac{-6}{5} + 1

y = \frac{18}{5} + 1

y = \frac{18 + 5}{5}

y = \frac{23}{5}

y = 4\frac{3}{5}

✅The exact solution would be: (-1\frac{1}{3}, 4\frac{3}{5})

3 0
3 years ago
Subtract. Write the difference in simplest form. (6p + 3) - (2p + 1)
Sonja [21]

Answer:

4p + 2

Step-by-step explanation:

(6p + 3) - (2p + 1)

Distribute the minus sign

6p +3 -2p -1

4p +2

3 0
3 years ago
Find the prime facrorization for 100 A.2² × 5² B.2×50 C.4×25 D.2³ × 5² E. 2² × 5³ ​
d1i1m1o1n [39]

Answer:

A

Step-by-step explanation:

100-25*4=5 squared*2 sqaured

so A

6 0
3 years ago
Read 2 more answers
Ryan also found that he could model the height of his plant with the equation h = 0.5d + 4, where d is the number of days and h
shusha [124]

Answer:

{4, 4.5, 5, 5.5, 6, 6.5, 7} {0, 1, 2, 3, 4, 5, 6}. 4 ≤ h ≤ 7 0 ≤ d ≤ 6. 4 ≤ d ≤ 7. {4, 5, 6, 7}. 0 ≤ h ≤ 6 0 ≤ h ≤ 7

4 0
2 years ago
Solve the system using substitution.
miv72 [106K]

Substitution method is one of the ways to solve this system.

-5x+y=4 and 4x-4y=16.

First we will divide the second equation with number 4 and get

x-y=4 => x=y+4 than we will replace x in the first equation

-5(y+4)+y=4 => -5y-20+y=4 => -4y=4+20 => -4y=24 => y=-6

x-(-6))=4 => x+6=4 => x=4-6=-2    (x,y)=(-2,-6)

Good luck!!!

6 0
3 years ago
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