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Katen [24]
3 years ago
15

Choose the missing step in the given solution to the inequality −6x − 10 > 14 + 2x. (1 point)

Mathematics
1 answer:
Degger [83]3 years ago
7 0

Answer:

- 8x > 24

Step-by-step explanation:

Given

- 6x - 10 > 14 + 2x ( subtract 2x from both sides )

- 8x - 10 > 14 ( add 14 to both sides )

- 8x > 24 ← required missing step

Divide both sides by - 8, reversing the symbol as a result of dividing by a negative quantity.

x < - 3 ← is the solution

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At the movie theatre, child admission is $5.30 and adult admission is $9.70. On Wednesday, 156 tickets were sold for a total sal
serious [3.7K]

Answer:

The number of adult tickets are 57.

Step-by-step explanation:

Given,

Total number of tickets = 156

Total money = $1077.60

Solution,

Let the number of adult be x and of child be y .

So, Total number of tickets = Number of adults + Number of child

\therefore x+y = 156\ \ \ \ \ \ equation\ 1

Now, according to question;

Total money = Number\ of\ adults\times admission\ fee + Number\ of\ child\times admission\ fee

\therefore x\times 9.70+y\times 5.30 = 1077.60\ \ \ \ \ \ equation\ 2

On multiplying by 10 on both side, we get;

97x+53y=10776\ \ \ \ \ \ equation\ 3

Now multiplying equation 1 by 53 then subtract it from equation 3, we get;

(x+y)\times53 = 156\times53\\53x+53y=8268\\(97x+53y=10776)-(53x+53y=8268)\\44x=2508\\x=\frac{2508}{44} =57

Since x is the  number of adults,

Number of adults=57

Number of child = y = 156-57=99

Thus the number of adult tickets are 57.

7 0
2 years ago
4. Find the value of the expression below for r=4 and t=2.
Katen [24]

Answer:

(a) 9

Step-by-step explanation:

\sf t^3 - r + 20 \div  r

substitute r = 4, t = 2

\sf (2)^3 - 4 + 20 \div 4

simplify

\sf (2)^3 - 4 + 5

cubic of 2 is 8

\sf 8 - 4 + 5

simplify

\sf 9

5 0
1 year ago
Read 2 more answers
In a certain survey of 1,024 ​adults, 83​% reported having more than one television at home. Find the actual number of responden
irina [24]

Answer:

soorrry dont know butt am suRe you wil get the answer from someone else sooonnn

Step-by-step explanation:

6 0
2 years ago
Factor 16x2 + 40x + 25
scoray [572]
The answer is c to your question
3 0
3 years ago
Solve for x. 4−(2x+4)=5
WITCHER [35]

4-(2x+4)=5\\-2x-4=1\\-2x=5\\x=-2.5

Put it back into the equation,

4-(2x+4)=5\\4-(2(-2.5)+4)=5\\4-(-5+4)=5\\4-(-1)=5\\5=5

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

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3 years ago
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