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3 years ago

Solve the inequality.

Mathematics

1 answer:

xenn [34]3 years ago

8 0

Answer:

x < -24(option

Step-by-step explanation:

-¼x - 12 > -6

Add 12 to both sides

-¼x - 12+12 > -6+12

-¼x > 6

Divide both sides by -¼

x < 6 ÷ -¼

Please note that the inequality sign changes when divided by negative (minus). This is a rule in inequalities.

x < 6 × -4

x < -24

I hope this was helpful, please mark as brainliest

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Select all the expressions that are equivalent to y'.

aleksley [76]

Answer:

A, B, D

Step-by-step explanation:

A) y squared times y squared you just add the exponents

B) y^6/y^2 write it out as (y)(y)(y)(y)(y)(y)/(y)(y) then u cancel out two "y" from numerator and denominator and is left with y^4

C) is just 0 so its wrong

D) is the same process as B just cancel out 5 "y" from numerator and denominator and is left with y^4

E) is incorrect bc you need to add the exponents and you will get y^5 which is not equal to y^4 so yeah its wrong

3 0

2 years ago

This is the two that go together, but are separate questions

ira [324]

Answers:

Option 1)

6a + 8s = 102

14a + 4s = 150

each adult ticket costs 9 dollars

===================================================

Explanation:

6 adult tickets and 8 student tickets bring in $102, so that means 6a+8s = 102

14 adult tickets and 4 students tickets bring in $150, so 14a+4s = 150

The system of equations is

$\begin{cases}6a+8s = 102\\14a+4s = 150\end{cases}$

If we multiply both sides of the second equation by -2, we get this updated system

$\begin{cases}6a+8s = 102\\-28a-8s = -300\end{cases}$

Add the equations straight down

6a+(-28a) = -22a

8s+(-8s) = 0s = 0 ... the 's' terms go away

102+(-300) = -198

So we end up with the equation -22a = -198 and that solves to a = 9 after dividing both sides by -22.

Each adult ticket costs $9

If you want the value of s, then

6a+8s = 102

6(9)+8s = 102

54 + 8s = 102

8s = 102-54

8s = 48

s = 48/8

s = 6

Meaning each student ticket costs $6

Or you could use the other equation

14a+4s = 150

14(9)+4s = 150

126+4s = 150

4s = 150-126

4s = 24

s = 24/4

s = 6

We get the same value of s

5 0

2 years ago

Split the number 76 into the ratio 6:3:7:3 .

kompoz [17]

Answer:

24:12:28:12

Step-by-step explanation:

76÷19=4

6×4:3×4:7×4:3×4

=24:12:28:12

3 0

3 years ago

Cinderella ordered different colored fabrics to make a new dress for the upcoming ball. 20% were blue, 1 10 were white, 40% were

arsen [322]

We know that
20% --------------> were blue
1/10---> 0.10----> 10%--------------> were white
40% ---------------> were silver

and
9 ---------> were gold
so
gold=100%-(20%+10%+40%)-------> 100%-70%------> 30%

30% ---------------------> is equal to 9
10% (were white)-------> X
X=10%*9/30%------> x=3

the answer is
3

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3 years ago

Lines that are perpendicular have slopes that are

Rus_ich [418]

Answer:

negative reciprocals of each other

6 0

3 years ago

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