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9966 [12]
3 years ago
9

Solve the inequality: -1+4y < 31

Mathematics
2 answers:
ser-zykov [4K]3 years ago
6 0
Let's solve your inequality step-by-step.<span><span><span>−1</span>+<span>4y</span></span><31</span>Step 1: Simplify both sides of the inequality.<span><span><span>4y</span>−1</span><31</span>Step 2: Add 1 to both sides.<span><span><span><span>4y</span>−1</span>+1</span><<span>31+1</span></span><span><span>4y</span><32</span>Step 3: Divide both sides by 4.<span><span><span>4y</span>4</span><<span>324</span></span><span>y<<span>8</span></span>
Andrews [41]3 years ago
3 0

-1 +4y < 31

 add 1 to each side:

4y < 32

divide both sides by 4

y<32/4

y<8

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Ft
Fofino [41]

Answer:

. We assume, that the number 260 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 260 is 100%, so we can write it down as 260=100%.

4. We know, that x is 6.75% of the output value, so we can write it down as x=6.75%.

5. Now we have two simple equations:

1) 260=100%

2) x=6.75%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

260/x=100%/6.75%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 6.75% of 260

260/x=100/6.75

(260/x)*x=(100/6.75)*x       - we multiply both sides of the equation by x

260=14.814814814815*x       - we divide both sides of the equation by (14.814814814815) to get x

260/14.814814814815=x

17.55=x

x=17.55

now we have:

6.75% of 260=17.55

Step-by-step explanation:

5 0
3 years ago
Which expression is equivalent to 50 – 40 - 2?​
Virty [35]

Answer: = 8

Step-by-step explanation: Hope this help :D

3 0
3 years ago
What is 117/320 simplified to a mixed fraction
Alex

Answer:

hope this helps 229 999 0523

117 /320 ≈ 0.366

Step-by-step explanation:

Step 1 of 1: Simplify.

Simplify

117 over 320

117

320

Step 1 of 1: Simplify, sub-step a: Reduce fraction to lowest terms.

Reduce fraction to lowest terms

1 is the greatest common divisor of 117 and 320. The result can't be further reduced.

8 0
3 years ago
Read 2 more answers
In Exercises 1-20, find the midpoint M of the segment with the given endpoints.
EleoNora [17]
1.(-3/2,3)
2.(5/2,2)
3.(5,4)
4.(7/2,-1)
5.(9/2,-1)

I gave the midpoints what do you mean by the given endpoints
5 0
3 years ago
1. Match the polynomial identity to the correct answer.
Katen [24]

Answer:

a: (a-b)(a+b);b: (a-b)(a^{2}+ab+b^{2});  c: (a^{2} +2ab+b^{2}); d: (a+b)(a^{2}- ab+b^{2})

Step-by-step explanation:

Given the expressions all that is required is to expand them (using the distributive property) to see which answers they match up to:

For a: (a-b)(a+b)=a^{2} +ab-ab-b^{2} =a^{2}-b^2

For b: (a-b)(a^2+ab+b^2)=a^3+a^2b+ab^2-a^2b-ab^2-b^3=a^3-b^3

For c calculate the square of a sum: (a+b)^2=a^2+ab+ab+b^2

(add like terms) c: a^2+2ab+b^2

For d: (a+b)(a^2-ab+b^2)=a^3-a^2b+ab^2+a^2b-ab^2+b^3=a^3+b^3

5 0
3 years ago
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