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elena-14-01-66 [18.8K]
3 years ago
14

Solve the inequality and graph its solution: 98 > 7a

Mathematics
1 answer:
docker41 [41]3 years ago
5 0

Answer:

a < 14

Step-by-step explanation:

Step 1: Swap the side of the inequality and flip the inequality sign

98 > 7a

7a < 98

Step 2: Divide both sides of the inequality by 7

a < 14

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Mrs travis wants to have the clown deliver balloons to her secretary's office. Clowns R Fun charges $1.25 per balloon and $6 for
marysya [2.9K]

The <em>correct answer</em> is:


6 balloons.


Explanation:


Let x represent the number of balloons purchased.


We will call the function for Clowns R Fun c(x):

c(x) = 1.25x+6


We will call the function for Singing Balloons s(x):

s(x) = 1.95x+2


We want the amount for Clowns R Fun, c(x) to be less:

c(x) < s(x)

1.25x+6 < 1.95x+2


Subtract 1.25x from each side:

1.25x+6-1.25x < 1.95x+2-1.25x

6 < 0.7x+2


Subtract 2 from each side:

6-2 < 0.7x+2-2

4 < 0.7x


Divide each side by 0.7:

4/0.7 < 0.7x/0.7

5.7 < x

x > 5.7


She must buy more than 5.7 balloons; the next integer up is 6. She must buy 6 or more balloons.

7 0
3 years ago
Read 2 more answers
How to solve for X: X-B=A
mamaluj [8]

Answer:

Step-by-step explanation:

(x−a)(x−b)=x2−(a+b)x+ab

Now, this with the third bracket.

(x2−(a+b)x+ab)(x−c)=x3−(a+b+c)x2+(ac+bc+ab)x−abc

But there’s another way to do this, which is easier. Assume the given expression is equal to 0, then, we can form a cubic equation as

x3−(sum−of−roots)x2+(product−of−roots−taken−two−at−a−time)x−(product−of−roots) , which is essentially what we got above.

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4 years ago
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How to do this problem
insens350 [35]

Answer:

multiply 2 with the parenthesis

19-2m<7+8m-8

then you put a dot between -2 amd 3

Step-by-step explanation:

5 0
4 years ago
Given a circle with an area of 25 pi in^2 <br> What is the exact circumference?
Taya2010 [7]

Answer:

31.4

Step-by-step explanation:

C = 2πr OR C = πd

But, we need to find r first.

A = \pi r^2\\25\pi = \pi r^2\\\sqrt{25} = \sqrt{r^2} \\r=5\\\\C=2\pi r\\C=2\pi (5)\\C= 10\pi \\C= 31.4

7 0
4 years ago
Identify the type of function <br> f(x) =2x+1
Xelga [282]

Answer:

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Step-by-step explanation:

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