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Rainbow [258]
3 years ago
9

A pack of paper costs $3.75 including tax. Mr. Cooper wants to purchase packs of paper for his class and has a $20 budget. Write

an inequality to solve for the number of packs of paper Mr. Cooper can purchase with his budget. A) $3.75x ≥ $20. B) $3.75x ≤ $20. C) $20x ≤ $3.75. D) $20x ≥ $3.75​
Mathematics
1 answer:
Anastaziya [24]3 years ago
7 0
The answer is a because it’s showing that he spends 3.75$ on each sheet of paper and x represents how many he can buy. It also shows that it can be less or equal to 20$
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Given that a=4, b=4 and c=-2 work out b(squared) -2ac
Nimfa-mama [501]

Answer:

32

Step-by-step explanation:

substitute the given values of a, b and c into the expression:

b² - 2ac = 4² - (2 x 4 x -2)

             = 16 - (-16)

             = 16 + 16

             = 32

3 0
3 years ago
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Step-by-step explanation:

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3 years ago
A boutique marks up a $55 painting 18%. Find the new price.
Ede4ka [16]

Answer:

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Step-by-step explanation:

3 0
3 years ago
The third term of an arithmetic sequence is equal to 9 and the sum of the first 8 term is 42. Find the first term and the common
zloy xaker [14]

Answer:

The first term is 14

The common difference is -2.5

Step-by-step explanation:

we know that

The rule to calculate the an term in an arithmetic sequence is

a_n=a_1+d(n-1)

where

d is the common difference

a_1 is the first term

we have that

The third term of an arithmetic sequence is equal to 9

so

a_3=9

n=3

substitute

9=a_1+d(3-1)

9=a_1+2d ----> equation A

The rule to find the sum of the the first n terms of the arithmetic sequence is equal to

S=\frac{n}{2} [2a_1+(n-1)d]

we have

The sum of the first 8 term is 42

so

S=42

n=8

substitute

42=\frac{8}{2} [2a_1+(8-1)d]

42=4[2a_1+7d]

10.5=2a_1+7d ----> equation B

Solve the system of equations

9=a_1+2d ----> equation A

10.5=2a_1+7d ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

the solution is (14,-2.5)

see the attached figure

therefore

a_1=14\\d=-2.5

The first term is 14

The common difference is -2.5

8 0
3 years ago
8 divded by 2 (2+2)= ?
Lostsunrise [7]

Answer:

16

Step-by-step explanation:

8 / 2 (2+2)

8/2(4)

4(4)

16

4 0
3 years ago
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