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drek231 [11]
3 years ago
13

X-70/x<-3 solve for x under the assumption that x>0

Mathematics
1 answer:
Virty [35]3 years ago
4 0

<span>Simplifying 0x + 7 + 5x = 2x + 30 + 40 Anything times zero is zero. 0x + 7 + 5x = 2x + 30 + 40 Combine like terms: 0 + 7 = 7 7 + 5x = 2x + 30 + 40 Reorder the terms: 7 + 5x = 30 + 40 + 2x Combine like terms: 30 + 40 = 70 7 + 5x = 70 + 2x Solving 7 + 5x = 70 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + 5x + -2x = 70 + 2x + -2x Combine like terms: 5x + -2x = 3x 7 + 3x = 70 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 3x = 70 + 0 7 + 3x = 70 Add '-7' to each side of the equation. 7 + -7 + 3x = 70 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 70 + -7 3x = 70 + -7 Combine like terms: 70 + -7 = 63 3x = 63 Divide each side by '3'. x = 21 Simplifying x = 21</span>
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Decide if the expression is positive or negative. Explain in words how you know, please.
AysviL [449]

Step-by-step explanation:

The first expression is :

-11\times \dfrac{2}{3}

Numerator = -11×2 = -22

Denominator = 3

So, answer will be :

-11\times \dfrac{2}{3}=\dfrac{-22}{3} (negative)

The second expression is:

-11\times \dfrac{-2}{3}

Numerator = -11×-2 = 22

Denominator = 3

So, the answer will be :

-11\times \dfrac{-2}{3}=\dfrac{22}{3} (positive)

Hence, this is the required solution.

7 0
3 years ago
∠EFG and ∠LMN are supplementary angles, m∠EFG=(3x+17)º, and m∠LMN=(12x−5)º.
Ira Lisetskai [31]

Answer:

EFG = 50.6, LMN = 129.4

Step-by-step explanation:

ok so s supplementary angles mean, their angles will always add upto 180. for example if one angle is 100° then the other will be 80°.

to find the angles first we need to solve for x.

we know EFG + LMN = 180 because its supplementary.

that's is (3x+17) + (12x-5) = 180.

we now solve for x;

15x+12 = 180

15x = 168, x= 168/15 = 11.2

now that we know x we can put this value in the corresponding equation of EFG and LMN to find the angles.

EFG = 3x11.2 + 17 = 50.6

LMN = 12x11.2 - 5 = 129.4

7 0
3 years ago
Step by step please help answer.
sweet-ann [11.9K]

Answer:

(2) 2,640 ft

Step-by-step explanation:

I'm going to assume that in this question, you are walking 1 full circle around the reservoir. That would mean you need to calculate the circumference of the circular reservoir.

The circumference formula is:

C = ⫪d

C stands for Circumference

d stands for diameter

I will use 22/7 instead of pi, so the formula looks more like this:

C = (22/7)(d)

The diameter is 840 feet, so we will substitute the variable d with 840:

C = (22/7)(840)

You can plug this part into the calculator, but by hand, it'll look something like this:

(22/7)*840 = (22*840)/7

18,480/7 = 2.640

Hope it helps (●'◡'●)

5 0
3 years ago
Farah harvests 20 pounds of tomatoes from her garden. She needs 4 4/5 pounds to make a batch of soup. Additionally, if she uses
Romashka [77]

Answer:

1 batch

Step-by-step explanation:

Farah needs 4 and 4/5 pounds of tomatoes & and additional 5 and 3/5 pounds of tomatoes to make soup.

4.8 + 5.6 = 10.5 pounds per soup

10.5*2 = 21 > 20 pounds

Farah would need one more pound of tomatoes in order to make 2 batches of soup. Therefore she can only make 1 batch.

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3 years ago
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ryzh [129]

Answer:

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Step-by-step explanation:

hggggggggggggggggggjgjjj

8 0
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