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Vladimir79 [104]
3 years ago
14

A van travels 240 miles on 20 gallons of gas. How far does it travel per gallon? Carlos installed 24 wooden cabinets in 8 days.

On the average, how many cabinets did he install each day? Which is a better buy—100 sheets of binder paper at $2.50, or 150 sheets at $3.50? Julie is trying to choose between two packs of cookies. Pack A has 36 cookies for $5.90. Pack B has 24 cookies for $4.10. Which pack has cheaper cookies? Anita is offered two summer jobs. One is in retail and pays $500 for a 40-hour work week. The other job is at a restaurant and pays $12 an hour. Which job has a higher hourly rate?
Mathematics
2 answers:
QveST [7]3 years ago
8 0

Answer:

van : 12 miles per gallon

cabinets: 3 cabinets a day

retail job for $500

Step-by-step explanation:

van: 240 miles/20 gallons = 12 miles per gallon

cabinets: 24/8= 3

jobs: $500 for 40 hours and $12 times 40 hours gets you $480

first job pays $20 bucks more

Dvinal [7]3 years ago
4 0
<h2>Answer with explanation:</h2>

Ques 1)

A van travels 240 miles on 20 gallons of gas.

This means that 20 gallons of gas is used to travel 240 miles.

This means that:

1 gallon of gas is used to travel  :

              \dfrac{240}{20}=12\ miles

Hence, it travels 12 miles per gallon.

Ques 2)

Carlos installed 24 wooden cabinets in 8 days.

i.e. in 8 days he install 24 cabinets

This means in 1 day he will install

\dfrac{24}{8}=3\ cabinets

On the average, he will  install 3 cabinets each day.

Ques 3)

100 sheets cost $ 2.50

This means that cost of 1 sheet is: $ 0.0250

( since,   \dfrac{2.50}{100}=0.0250 )

150 sheets at $3.50

This means that cost of 1 sheet is: $ 0.0233

( since,  \dfrac{3.50}{150}=0.02333 )

This means that the cost per sheet is cheaper in the buy:

    150 sheets at $3.50.

Ques 4)

Pack A has 36 cookies for $5.90.

This means that cost of 1 cookie is: $ 0.16388 )

(  since,  \dfrac{5.90}{36}=0.16388 )

and  Pack B has 24 cookies for $4.10.

This means that cost of 1 cookie is: $ 0.170833

( since, \dfrac{4.10}{24}=0.170833 )

The cost per cookie is cheaper in Pack A.

Hence, the pack which has cheaper cookies is: Pack A.

Ques 5)

One is in retail and pays $500 for a 40-hour work week.

This means that the payment for 1 hour is: $ 12.5

( since, \dfrac{500}{40}=12.5 )

The other job is at a restaurant and pays $12 an hour.

This means that the job which has a higher hourly rate is:

In retail which pays $500 for a 40-hour work week.      

( since 12.5>12  )        

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The Knicks and Nets have a total 30 players.
Blababa [14]

Answer:

Step-by-step explanation:

From the problem statement, we can set up the following two equations:

K + N = 30

20K + 10N = 500

where K is the number of Knicks players, and N is the number of Nets players.

We can substitute the first equation into the second and solve for K

K + N = 30

N = 30 - K

20K + 10N = 500

20K + 10(30 - K) = 500

20K + 300 - 10K = 500

10K + 300 = 500

10K = 200

K = 20

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3 years ago
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2 years ago
Given: Tangents LA and LB, m∠AOB=110°. Find: m∠ALO.
Yuri [45]

Answer:

The measure of angle ALO = 35°

Step-by-step explanation:

* Lets talk about the tangents to a circle drawn from a point

 outside the circle:

- They are equal in length

- They are perpendicular to the radii at the point of tang-ency

- If we join the points of tang-ency withe the center of the circle

 and join the outside point with center of the circle, we

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* Now lets check our problem

- AL and LB are two tangents to the circle O ant points A and B

∴ LA = LB ⇒ (1)

- OA and OB are radii in circle O

∴ OA = OB ⇒ (2)

∴ OA ⊥ AL and OB ⊥ BL ⇒ radius and tangent

∴ m∠OAL = 90° , m∠OBL = 90

∴ m∠OAL = m∠OBL ⇒ (3)

* From (1) , (2) , (3)

- The two triangles LAO and LBO are congruent ⇒ SAS

- SAS is one case of congruence

∵ The lengths of two sides and the measure of the including

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∴ m∠LOA = m∠LOB

∵ m∠AOB = 110°

∴ m∠LOA = m∠LOB = 110/2 = 55°

* In ΔLAO

∵ m∠ LAO = 90° , m∠LOA = 55°

∴ m∠ALO = 180 - (90 + 55) = 180 - 145 = 35°

* The measure of angle ALO = 35°

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Find the slope of each line.<br><br> PLEASE HELP!!! 15 PTS!!!
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Answer:

im pretty sure its -3/2

Step-by-step explanation:

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Angles in triangle add to 180 degrees
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