1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Masteriza [31]
3 years ago
8

Shay and Nadine solve this problem in two different ways. You have $25 in your bank account. You make $7 per hour babysitting. H

ow many hours must you babysit to have a total of $165 in your account? 
Mathematics
2 answers:
myrzilka [38]3 years ago
8 0
The answer to this problem is 25
gregori [183]3 years ago
5 0

Answer:

Number of hours to be babysit to have a total of $165 in the account = 20.7 hours

Step-by-step explanation:

Amount of money in the bank account = $25

Amount of money charged per hour for babysitting = $7

Let number of hours worked doing babysitting = x

Also, The total amount of money earned = $165

So, The equation which models the current situation is :

⇒ 25 + 7 × x = 165

⇒ 25 + 7·x = 165

⇒ 7·x = 165 - 25

⇒ 7·x = 145

⇒ x = 20.7

Therefore, Number of hours to be babysit to have a total of $165 in the account = 20.7 hours

You might be interested in
3х - 30 = у<br> 7y - 6 = 3х
mars1129 [50]

Answer:

Step-by-step explanation:

This one is simple substitution... at least, substitution is the easiest method. The first equation is 3<em>x</em> – 30 = <em>y</em>  and the second is 7<em>y</em> – 6 = 3<em>x</em>

As I look, I see 3 ways to use substitution to solve this:

  1. substitute 7<em>y</em> – 6 for 3<em>x</em>
  2. substitute 3<em>x</em> – 30 for <em>y</em>
  3. solve 3<em>x</em> – 30 = <em>y</em> for 3<em>x</em> and make it equal to 7<em>y</em> – 6

We're going to only use 1 method for the sake of time. Try the other two on your own. Assuming you don't make any mistakes, they will work.

<u>Method 1</u>:

3<em>x</em> – 30 = <em>y</em>

7<em>y</em> – 6 = 3<em>x</em>  — initial system of equations

7<em>y</em> – 6 – 30 = <em>y</em>  — substitute 7<em>y</em> – 6 for 3<em>x</em>

<u>7</u><u><em>y</em></u> – 6 – 30 = <u><em>y</em></u>  — marking like terms, bold for constants, <u>underlined</u> for variables

7<em>y</em> – 36 = <em>y</em>  — combining the constants and simplifying

Here, you could diverge into multiple paths: add 36 to both sides, subtract <em>y</em> from both sides, divide by 6 OR subtract 7<em>y</em> from both sides and divide by –6 . For the sake of time, I'm subtracting 7<em>y</em>, though I don't like dealing with negatives.

7<em>y</em> – 7<em>y</em> – 36 = <em>y</em> – 7<em>y</em>  — subtract 7<em>y</em> from both sides

–36 = –6<em>y</em>  — simplify

–36 ÷ –6 = –6<em>y</em> ÷ –6  — divide by –6 on both sides

<em>y</em> = 6  — simplify

Again, we can diverge here: substitute <em>y</em> into 3<em>x</em> – 30 = <em>y</em> or substitute <em>y</em> into 7<em>y</em> – 6 = 3<em>x</em>

I'm going to choose 3<em>x</em> – 30 = <em>y</em> but it will work either way, should you take the time (if you have it) to chase down every path this problem can take.

3<em>x</em> – 30 = <em>y</em>  — initial equation

3<em>x</em> – 30 = 6  — substitute 6 for <em>y</em>

3<em>x</em> – 30 + 30 = 6 + 30  — add 30 to both sides to isolate 3<em>x</em>

3<em>x</em> = 36  — simplify the expression

3<em>x</em> ÷ 3 = 36 ÷ 3  — divide both sides by 3 to isolate <em>x</em>

<em>x</em> = 12  — simplify

So, we have <em>x</em> = 12 and <em>y</em> = 6 . We know they work for 3<em>x</em> – 30 = <em>y</em>  but not if they work for 7<em>y</em> – 6 = 3<em>x</em> . Let's substitute those in to see if (12, 6) really is the solution point.

7<em>y</em> – 6 = 3<em>x</em>  — original equation

7(6) – 6 ≟ 3(12)  — substitute 6 for <em>y</em> and 12 for <em>x</em>

42 – 6 ≟ 36  — simplify by multiplying

36 = 36 ✔  — simplify by combining like terms on left side

Success! It works! We have found our solution!

I hope this helps increase your understanding of the concept. Have a great day!

8 0
3 years ago
What is the definition of a surd.<br>Give an example.​
maria [59]

Answer:(of a number ) irrational

Step-by-step explanation:

4 0
3 years ago
the temperature at noon was -27 degrees . the temperature increased by 13 degrees by 2pm . what was the temperature at 2pm
Aleks [24]
First, you would create an equation for this problem. 
-27 + 13

Now, all you would have to do is solve it. 
-27 + 13 = -14

By 2 pm the temperature was -14 degrees. 

I hope this helps!
5 0
3 years ago
Read 2 more answers
Write in decimal form<br> 7+3/100+9/1000 =
SpyIntel [72]

Answer:

7.039

Step-by-step explanation:

8 0
3 years ago
I really need an a answer again Srry for wasting ur time... but I need an answer quick
defon

Answer:

400m

7000000km

25000m

Step-by-step explanation:

Meter to Kilometer is x1000

kilometer to meter is ÷1000

5 0
3 years ago
Other questions:
  • In ΔQRS, q = 1.3 inches, r = 1.6 inches and ∠S=157°. Find the length of s, to the nearest 10th of an inch.
    13·1 answer
  • 15 POINTS FOR AN EASY QUESTION!!!
    13·2 answers
  • A quarterback throws a football to a teammate. The football is 6.5ft above the ground when it leaves the quarterback's hand. His
    8·1 answer
  • Using the following equation, find the center and radius of the circle. You must show all work and calculations to receive credi
    8·2 answers
  • 18.00 breakfast ;7% tax
    11·2 answers
  • Please someone help me
    8·1 answer
  • Y = XVW<br> X =<br> what is x?
    8·1 answer
  • 4cm 8cm 5 cm 15cm 9cm ?cm find the missing side length
    15·1 answer
  • The Martian monetary system uses colored beads instead of coins. A blue bead is worth 3 Martian credits, and a red bead is worth
    10·1 answer
  • Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 35 problems. Each problem is worth either
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!