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Amanda [17]
2 years ago
15

The delivery guy pushes a stove forward with a force of 80 Newtons, the stove has 115 Newtons. Does the stove move? Is the net g

oce Zero? Are things balanced or unbalanced in the scenario?
Mathematics
1 answer:
PtichkaEL [24]2 years ago
8 0
I think it doesn’t move unless you push the same amount of force or more to make the stove more. wouldn’t The net force be 35 because 115-80=35
and They seem unbalanced. If anyone else sees think feel free to correct me.
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You want to enlarge a 4 x 5 inch photo to fit into a 1 inch wide frame
skelet666 [1.2K]

The 4•x by 5•x inner dimensions of the 53 inches outer perimeter picture frame, the 1 inch wide frame and the 4 × 5 inch picture to be enlarged, gives;

a. The outer perimeter equation is presented as follows;

18•x + 8 = 53 inches

b. The scale factor required for the enlargement of the picture is 2.5

<h3>Which method can be used to write the equation and find the scale factor?</h3>

The dimensions of the photo = 4 × 5 inch

Width of the frame = 1 inch

Outer perimeter of the frame = 53 inches

The width of the inside of the picture frame = 4•x

The height of the inside of the picture frame = 5•x

a. The equation for the outer perimeter of the picture frame is therefore;

2 × (4•x + 1 + 1) + 2 × (5•x + 1 + 1) = 53

Which gives;

2 × (4•x + 2) + 2 × (5•x + 2) = 53

8•x + 4 + 10•x + 4 = 53

A simplified equation for the outer perimeter of the picture frame is therefore;

  • 18•x + 8 = 53

b. Solving the above equation, we have;

18•x + 8 = 53

18•x = 53 - 8 = 45

18•x = 45

Therefore;

x = 45 ÷ 18 = 2.5

x = 2.5

The width and height of the picture frame are therefore;

Width = 4•x = 4 × 2.5 = 10

Height = 5•x = 5 × 2.5 = 12.5

Which gives;

Width = 10 inches

Height = 12.5 inches

The enlargement factor, sf, is given by the ratio of a side of the picture frame to a side of the picture as follows;

sf = 12.5/5 = 2.5

  • The factor by which to enlarge the picture frame is 2.5

Learn more about linear scale factors here:

brainly.com/question/19381630

#SPJ1

3 0
2 years ago
Sarah would like to make a 6 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of a mixture that is 80%
weeeeeb [17]

Answer: a. The system that models this situation is,

x + y = 6 , 8 x + 5 y = 36.

b. Solution is x = 2lb and y = 4lb

where x is the quantity of 80% of peanuts mixture mix with y quantity of 50% of peanuts mixture for making 60% of peanuts mixture.

Step-by-step explanation:

Let x quantity of 80% of peanuts mixture mix with y quantity of 50% of peanuts mixture for making 60% of peanuts mixture.

Then According to the question,

x + y = 6      --------- (1)

And, 80 % of x + 50 % of y = 60 % of 6

⇒ 0.8 x + 0.5 y = 3.6

⇒ 8 x + 5 y = 36  --------- (2)

Where equation 1) and equation 2) are the required equation which models the given situation.

Now, 8 × equation 1)

We get, 8 x + 8 y = 48 ----------(3)

equation (3) - equation (2)

we get, 3 y = 12

⇒ y = 4

By putting the value of y in equation (2)

we get, x = 2

Thus, he mixed 2 lb of mixture 80/20  and 4 lb of mixture 50/50 for making 6 lb of 50/50 mixture.


4 0
2 years ago
Solve for x: x/7 - 3 ≥ 8.
stellarik [79]

Answer:

x is more than or equal to 77

Step-by-step explanation:

5 0
3 years ago
Dont know the answer pls help :(
Luba_88 [7]

Answer:

x=3

Step-by-step explanation:

7x-3=18

7x=18+3

7x=21

x=3

4 0
2 years ago
I can't quite figure out what ( 7- 4n ) x 6 is with distributive property.
Tema [17]

Answer:

(42-24n)

Step-by-step explanation:

(7-4n)×6

take the 6 and multiply it to the integers in the paraenthesis.

so you take the ouside number which is 6 and multiply it with the first number which is 7 in the paraenthesis.

6×7=42

(42-4n)

then take the next number 4n and multiply by 6

4n × 6 = 24n

finally put it all together

(42-24n)

sorry if that didnt help

7 0
3 years ago
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