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zhuklara [117]
2 years ago
9

Use the diagram below to determine the height of the flagpole.

Mathematics
1 answer:
Shtirlitz [24]2 years ago
6 0

Answer:

Height of flagpole= 12ft

Scale factor from stick to flagpole: 3:1

Scale Factor from flagpole to stick: 1:3

Step-by-step explanation:

ratio from stick to shadow = ratio from flagpole to shadow

so 4:2.5

we can assume 4(3):2.5(3)

which is 12:7.5

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A family has two cars. The first car has a fuel efficiency of 15 miles per gallon of gas and the second has a fuel efficiency of
professor190 [17]

The fuel consumption of each of the cars during the week are as follows;

  • The first car consumes <u>20 gallons of fuel</u>.
  • The second car consumes <u>30 gallons of fuel</u>.

Reasons:

Fuel efficiency of the first car = 15 miles per  gallon

Fuel efficiency of the second car = 35 miles per gallon

Combined distance traveled by the two cars in a week = 1,350 miles

The total gas consumption during the week = 50 gallons

Let <em>x</em> represent the number of gallons consumed by the first car, and let <em>y</em>

represent the number of gallons consumed by the second car, we get the

following system of simultaneous equations;

  • 15·x + 35·y = 1,350...(1)
  • x + y = 50...(2)

Therefore;

y = 50 - x

Which gives;

15·x + 35 × (50 - x) = 1,350

15·x + 1,750 - 35·x = 1,350

1,750 - 1,350 = 35·x - 15·x = 20·x

400 = 20·x

x = 400 ÷ 20 = 20

  • The number of gallons consumed by the first car, x = <u>20 gallons</u>

From equation (2), we have;

x + y = 50

y = 50 - x

Therefore;

y = 50 - 20 = 30

  • The number of gallons consumed by the second car, y = <u>30 gallons</u>

Learn more about word problems that lead to simultaneous equations here:

brainly.com/question/1717365

6 0
2 years ago
-7p = -3p - 8<br> p =<br> Help
jeka94

Answer:

p=2

Step-by-step explanation:

-7p = -3p - 8

Add 3p to each side

-7p+3p = -3p+3p - 8

-4p = -8

Divide each side by -4

-4p/-4 = -8/-4

p = 2

6 0
3 years ago
Read 2 more answers
What are some decimals for 9/2 other than 4.5
PolarNik [594]

Answer:

1.4953

Step-by-step explanation:

You will need to break down 4.5

4√5

1.4953

8 0
2 years ago
Anne-marienhas saved 9 dollars for a new coat that is 1/6 as much money as she needs how much does the coat cost
Tatiana [17]

Answer:

Cost of the coat = $54

Step-by-step explanation:

Given:

She saved = $ 9

To Find:

Cost of the coat = ?

Solution:

Let the price of coat be x

She saved $9

and according to given condition it is 1/6 of the total money she needs for buying coat

by this we have

\frac{1}{6}*x = 9

Multiplying both sides by 6

\frac{1}{6}*x*6 = 9*6

it becomes

x = 9*6

x = $54

As x is the amount she needs

so

Cost of the coat = $54


7 0
3 years ago
Worth 30 points. i really need help.
omeli [17]

Answer: a) w = -26, -2

b) x = -4,  -1

c) k = 17, -1

d) z = 65, 935

Multiple choice: D)

Step-by-step explanation:

a) (w+26)(w+2) = 0

w = -26, w = -2

b) (x+4)(x+1) = 0

x = -4, x = -1

c) (k-17)(k+1) = 0

k = 17, k = -1

d) (z-65)(z-935) = 0

z = 65, x z 935

Multiple Choice

D)

Multiply all terms by 2.

<h2><u><em>PLEASE MARK AS BRAINLIEST!</em></u></h2>
5 0
2 years ago
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