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V125BC [204]
3 years ago
8

The product of a number and -7 gives seven times the sum of that number and -40. Find the number

Mathematics
1 answer:
Ymorist [56]3 years ago
4 0
Let the unknown number be x.

x × -7 = 7 (x + -40)

-7x = 7x - 280

-14x = -280

x = 280/14

x = 20

Hope this helps!
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Working her way through school, Kathy works two part-time jobs for a total of 23 hours a week. Job A pays $5.70 per hour, and Jo
trapecia [35]

Answer:

<u>Kathy worked 11 hours at job A and 12 hours at job B, the week she made US$ 146.70.</u>

Step-by-step explanation:

1. Let's review all the information given for solving this question:

Rate per hour of Job A = US$ 5.70

Rate per hour of Job B = US$ 7.00

Earnings received by Kathy during the week = US$ 146.70

Total time worked by Kathy during the week = 23 hours

Hours at job A = x

Hours at job B = 23 -x

2. Let's find how many hours Katy worked at each job:

This is the equation that we'll use:

5.70x + 7 (23 - x) = 146.70

5.70x + 161 - 7x = 146.70

- 1.3x = 146.70 - 161 (Subtracting 161 at both sides)

-1.3x = - 14.30

1.3x = 14.3 (Multiplying by - 1 at both sides)

x = 14.3/1.3 = 11 (Dividing by 1.3 at both sides)

<u>Kathy worked 11 hours at job A and 12 hours at job B.</u>

3. Proof of x = 11

5.70 x + 7 (23 - x) = 146.70

5.70 (11) + 7 (23 - 11) = 146.70

62.70 + 7 (12) = 146.70

62.70 + 84 = 146.70

146.70 = 146.70

<u>The value of x = 11 is correct.</u>

Note. I provided the same answer to question 13954115.

3 0
3 years ago
Solve system by elimination -9x - y =-19 <br> 5x + y = 15
vredina [299]

Answer:

(1, 10 )

Step-by-step explanation:

Given the 2 equations

- 9x - y = - 19 → (1)

5x + y = 15 → (2)

Adding the 2 equations term by term will eliminate the y- term

- 4x + 0 = - 4

- 4x = - 4 ( divide both sides by - 4 )

x = 1

Substitute x = 1 into either of the 2 equations and solve for y

Substituting into (2)

5(1) + y = 15

5 + y = 15 ( subtract 5 from both sides )

y = 10

solution is (1, 10 )

6 0
2 years ago
If the statement, "If I am hungry, then I am not happy," is assumed to be true, is its negation, "If I am not hungry, then I mus
garik1379 [7]
The negation isn't always true, as you can be unhappy while also not being hungry. 
3 0
3 years ago
Find the value of x. Write your answer as a simplified radical if necessary.
Andreas93 [3]

Answer:

x=5

Step-by-step explanation:

The right angle opposite is the hypotenuse

The 30° is the opposite

SohCahToa

Soh = Sin because you got Opposite and Hypotenuse (because you're trying to find the side, you'd do the opposite of dividing, which is times)

10×sin(30)=5

3 0
3 years ago
Answer what you can please!
Fed [463]

Answer:

Something's Fishy:

Domain = Time

Range = Gallons of water remaining.

Smart Phone, but is it a Smart Deal?

Domain = Weeks passing

Range = Interest ($)!!!!

Step-by-step explanation:

Something's Fishy:

First and foremost, Candice, very gently, removes the fish from the tank and places them into a clean, healthy, temporary environment.

AKA Candice glances to check if the coast is clear before chucking the fish into the nearest toilet as fast as possible. (Stop laughing, Fish deserve equal rights too [no, but really]).

Candice then begins to empty the tank, draining 10 gallons per minute.

Again, if you know anything of physics or mathmatical graph placement, the TIME variable will 9.99999999/10x be the independent variable, this won't change. Make it a rule of thumb, get the sharpie-tat, do whatever you need to do to remember it.

From a literal perspective, we can see that the water is draining at a constant rate. The rate isn't changing, but something IS. That "something" is the water remaining IN the tank per periodic interval.

Time is independent.

Puny water is dependent and inferior.

The fish are depending upon the hope that the one gassy guy from IT doesn't get to the toilet before Candice comes back.

The fate of the fish are dependent upon hoping the guy from IT doesn't have beans and cheese for lunch. (Remember Pompeii?! Anyone? Imagine Pompeii in a 2x2 ceramic & plastic can now :). You're welcome!)

End of story.

Smart Phone, but is it a smart deal?

Your cousin is ripping you off. He knows it, his momma knows it, and the dog knows that it's hungry, and it will definitely eat the phone. Yeah, the dog knows it too.

Every week that passes, cuzzo gets double the cash from you to pocket. It's all fun and games until 30 weeks have passed and you're two-feet in the grave of debt, because you always chose McDonalds over settling debts.

Because CUZZO (that conniving worm) knew that your INTEREST was dependent upon the number of weeks it'd take you to pay cuzzo his cash back.

Hope this helps!!

(No fish were harmed in the making of this post)

8 0
3 years ago
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