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Ganezh [65]
3 years ago
12

What is the solution to the inequality? −4x−8>−20

Mathematics
1 answer:
Sliva [168]3 years ago
4 0
<span>−4x−8>−20
Add 8 to both sides
-4x>-12
Divide both sides by -4
Final Answer: x<3</span>
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Only two problems I don’t understand. Don’t just give me answer, explain too please.
marta [7]

Answer:

12. Option b: 20 is the correct answer.

13. Option a: A rose costs $1 more than a daisy is the correct answer.

Step-by-step explanation:

12. Given that:

15x+10y=700       Eqn 1

x+y=60      Eqn 2

To find x, we will eliminate y be multiplying Eqn 2 by 10

10(x+y=60)

10x+10y=600      Eqn 3

Subtracting Eqn 3 from Eqn 2

(15x+10y)-(10x+10y)=700-600

15x+10y-10x-10y=100

5x=100

Dividing both sides by 5

\frac{5x}{5}=\frac{100}{5}\\x=20

Hence,

Option b: 20 is the correct answer.

13. Given that:

5x+4y=32     Eqn 1

x+6y=22       Eqn 2

Multiplying Eqn 2 by 5

5(x+6y=22)

5x+30y=110     Eqn 3

Subtracting Eqn 1 from Eqn 3

(5x+30y)-(5x+4y)=110-32

5x+30y-5x+4y=78

26y=78

Dividing both sides by 26

\frac{26y}{26}=\frac{78}{26}\\y=3

Putting y=3 in Eqn 2

x+6(3)=22

x+18=22

x=22-18

x=4

Hence,

Option a: A rose costs $1 more than a daisy is the correct answer.

7 0
2 years ago
Mr. Black bought a television set for $450.00. He later sold the television set at a loss of 30%. (a) Calculate the amount of th
fgiga [73]

The amount of the loss exists 1350.

<h3>What is the amount of loss?</h3>

Amount of Loss means an amount equivalent to the outstanding balance of the principal amount, less any amounts recognized by perfecting rights under a security agreement, together with such interest as the executive director shall permit, to a maximum of such interest as may be permitted by rule.

Given: Mr. Black purchased a television set for $450.00. He subsequently sold the television set at a defeat of 30%.

From the given information, we get

$4500\cdot \frac{30}{100}

simplifying, we get

$4500\cdot \frac{30}{100}

= 1350

Therefore, the amount of the loss exists 1350.

To learn more about opportunity loss refer to:

brainly.com/question/19569042

#SPJ9

3 0
2 years ago
Verb dale had a total of 45.8 inches of rain this year. This year's total was 7.48 inches greater than last year's total. What w
Delvig [45]
1. 45.8-7.48=38.32 in

2. 5/6-3/4=10/12-9/12= 1/12 miles farther
5 0
2 years ago
Read 2 more answers
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
astra-53 [7]

Answer:

3\pi \rightarrow y=2\cos \dfrac{2x}{3}\\ \\\dfrac{2\pi }{3}\rightarrow y=6\sin 3x\\ \\\dfrac{\pi }{3}\rightarrow  y=-3\tan 3x\\ \\10\pi \rightarrow y=-\dfrac{2}{3}\sec \dfrac{x}{5}

Step-by-step explanation:

The period of the functions y=a\cos(bx+c) , y=a\sin(bx+c), y=a\sec (bx+c) or y=a\csc(bx+c) can be calculated as

T=\dfrac{2\pi}{b}

The period of the functions y=a\tan(bx+c) or y=a\cot(bx+c) can be calculated as

T=\dfrac{\pi}{b}

A. The period of the function y=-3\tan 3x is

T=\dfrac{\pi}{3}

B. The period of the function y=6\sin 3x is

T=\dfrac{2\pi}{3}

C. The period of the function y=-4\cot \dfrac{x}{4} is

T=\dfrac{\pi}{\frac{1}{4}}=4\pi

D. The period of the function y=2\cos \dfrac{2x}{3} is

T=\dfrac{2\pi}{\frac{2}{3}}=3\pi

E. The period of the function y=-\dfrac{2}{3}\sec \dfrac{x}{5} is

T=\dfrac{2\pi}{\frac{1}{5}}=10\pi

5 0
3 years ago
Match each equation to its solution.
astra-53 [7]
Good job you got it right! But others won’t be able to find it because you have a basic writing for it. Next time put the actual equations on so others can find it!
4 0
3 years ago
Read 2 more answers
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