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jolli1 [7]
3 years ago
12

Alonzo works as a tutor for $7 an hour and as a waiter for $8 an hour this month he worked a combined total dollar total dollar

amount he earned this month
Mathematics
1 answer:
docker41 [41]3 years ago
6 0

Answer: -1t + 720

Step-by-step explanation:

He worked at both jobs for 90 hours for this month.

He worked t hours as a tutor which means that as a waiter he worked;

= 90 - t hours

The amount earned is therefore;

= 7t + (8 * (90 - t))

= 7t + 720 - 8t

= -1t + 720

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The admission fee at a local zoo is $1.50 for children and $5.00 for adults. On a certain day, 3000 people enter the zoo and $9,
vlabodo [156]

1600 children and 1400 adults attended

<h3>How to determine the number of adults?</h3>

Let the children be x and adult be y.

So, we have the following equations:

x + y = 3000

1.5x + 5y = 9400

Make x the subject in x + y = 3000

x = 3000 - y

Substitute x = 3000 - y  in 1.5x + 5y = 9400

1.5(3000 - y) + 5y = 9400

Expand

4500 - 1.5y + 5y = 9400

Evaluate the like terms

3.5y = 4900

Divide both sides by 3.5

y = 1400

Substitute y = 1400 in x = 3000 - y

x = 3000 - 1400

Evaluate

x = 1600

Hence, 1600 children and 1400 adults attended

Read more about system of equations at:

brainly.com/question/14323743

#SPJ1

8 0
2 years ago
Can I get some help with proofs?<br> Picture is attached
aleksandr82 [10.1K]

Give a reason for each step of the proof. 

Given: <1 and <2 are complimentary 

<1 is congruent to <3, 

<2 is congruent to <4 

Prove: <3 and <4 are complimentary 

Statements: Reasons: 

1. <1 and <2 are complimentary 1.Given 

2. m<1 + m<2=90* 2.<u>DEFINITION OF COMPLEMENTARY ANGLES</u>

3. <1 is congruent to <3, <2 is congruent to <4 3.__GIVEN______ 

4. m<1=m<3, m<2=m<4 4.<u>DEFINITION OF CONGRUENT ANGLES_</u>

5. m<3 + m<2=90* 5. <u>SUBSTITUTION PROPERTY (m<1 is replaced by m<3.) </u>

6. m<3 +m<4=90* 6. <u>DEFINITION OF COMPLEMENTARY ANGLES </u>

7. <3 and <4 are complimentary 7.<u> DEFINITION OF COMPLEMENTARY ANGLES</u>

8 0
3 years ago
Divide. <br> 3/5 \1/4<br><br> A. 3/20<br> B. 5/12<br> C. 4/9<br> D. 2 2/5
KIM [24]
Its letter A 3/20 i divided it


4 0
3 years ago
Each pound of fruit costs $4. Write an expression that shows the total cost of the fruit. Use the variable you identified in que
vovangra [49]

Answer:

$4f

Step-by-step explanation:

Let's assume f represents the number of pounds of fruit.

We need to multiply the number of pounds of fruit by the cost per pound.

This is $f * 4, or in a simpler form, $4f.

6 0
3 years ago
How would I solve this equation for mass (m)?
zaharov [31]
Simple...

you have: F= \frac{G m^{2} }{ d^{2} }

You want to find m-->>>

1.)Isolate m

d^{2} *F= \frac{G m^{2} }{ d^{2} } * d^{2}

Leaving you with...

F*d^{2}=G m^{2}

Keep isolating m-->>>

F* d^{2} =G m^{2}

\frac{F* d^{2} }{G} = \frac{G m^{2} }{G}

Square root to solve what just m is-->>>

\sqrt{ \frac{F* d^{2} }{G} } = \sqrt{ m^{2} }

=\sqrt{ \frac{F* d^{2} }{G}  } =m

That is how you solve for m...

Thus, your answer.
7 0
3 years ago
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