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Pachacha [2.7K]
2 years ago
13

Simplify: y - 4 = 5x - 5

Mathematics
2 answers:
serg [7]2 years ago
7 0

Answer:

5x-y=-1

Step-by-step explanation:

y-4=5x-5

take 5x on the other side and also take -4 on the other side . the numbers must change sines when they go on there other side

-5x+y=-5+4

-5x+y=-1

divide both sides by -1

5x-y=1

Stolb23 [73]2 years ago
3 0

Answer:

x= 1/5y +1/5 have a good day whoever you are :D

Step-by-step explanation:

Step 1: Flip the equation.

5x−5=y−4

Step 2: Add 5 to both sides.

5x−5+5=y−4+5

5x=y+1

Step 3: Divide both sides by 5.

5x /5 = (y+1) /5

x= 1/5y +1/5

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A gentleman is standing 10 feet from a streetlight. He is 5'6 tall and has a shadow of 24 feet. What is the height of the street
Goshia [24]

Answer:

Height of the streetlight ≈ 8 ft(nearest foot)

Step-by-step explanation:

The doc file displays the triangle formed from the illustration. x is the height of the street light. The distance from the gentle man to the street light is 10 ft. He  has a height of 5.6 ft  and the shadow formed on the ground is 24 ft long. The height of the street light can be calculated below.

The length of the tip of the shadow to the base of the street light is 34 ft. Similar triangle have equal ratio of their corresponding sides .

ab = 5.6 ft

The ratio of the base sides = 24/34

The ratio of the heights = 5.6/x

The two ratio are equal Therefore,

24/34 = 5.6/x

24x = 5.6 × 34

24x = 190.4

divide both side by 24

x = 190.4/24

x = 7.93333333333

x ≈ 8 ft

Height of the streetlight ≈ 8 ft(nearest foot)

Download docx
7 0
3 years ago
What is the common denominater of 1/5 and 7/10
maks197457 [2]

Answer:

10 010 10 10 10 10 101 01 mo1

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The radius of a semicircle is 3 kilometres. What is the semicircle's perimeter?
alina1380 [7]

Answer:

In terms of Pi: 3\pi + 6 km

Exact value (rounded): 15.42477 km

Approximated (3.14): 15.42 km

Step-by-step explanation:

Hello!

A semicircle's perimeter can be found using the formula: P = \pi r + 2r

We can plug in the values to solve for the perimeter.

<h3>Solve</h3>
  • P = \pi r + 2r
  • P = \pi(3)+ 2(3)
  • P = 3\pi + 6

In terms of Pi, it is 3\pi + 6,

Exact value of Pi, it is 15.42477

Approximation of Pi (3.14), it is = 15.42

6 0
2 years ago
Makayla and Caroline go to the movie theater and purchase refreshments for their friends. Makayla spends a total of $49.00 on 9
gizmo_the_mogwai [7]

Answer:

Let the cost of each popcorn bag be x and cost of each  drink be y

Cost of 9 bags of Popcorn= 9 x

Cost of 8 drinks be = 8 y

Total money spent by Makayla = $ 49

According to Question

9 x + 8 y= 49..................... equation (1)

Similarly , cost of 3 popcorn = 3 x

Cost of 3 drinks= 3 y

Total money spent by Caroline= $ 17.25

According to Question

3 x+ 3 y= $ 17.25...................equation(2)

We can solve above equation by using elimination method

Multiply equation (2) by 3

9 x + 9 y =  51.75..................equation(3)

9 x + 8 y= 49..................... equation (1)

Subtraction equation (1 ) from equation(3)

y = 2.75

put value of y  in any equation (2)

we get

3 x + 3 × 2.75 = 17.25

3 x +   8.25 = 17.25

3 x = 17.25 - 8.25

3 x = 9

x = 3

Hence, cost of each popcorn bag $ 3 cost of each popcorn bag is also $ 3 (approx)

5 0
3 years ago
Kate has 21 coins (nickels and dimes) in her purse. How many nickels and dimes does she have if she has $1.50? A. 3 nickels and
Molodets [167]

C. 12 nickels and 9 dimes.

This is the only one that adds up to 1.50


5 0
3 years ago
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