Two people push against a 113 kg refrigerator in opposite directions with forces of 140 N
and 190 N, respectively.
What would be the resulting acceleration of the refrigerator

Answer:

60

Step-by-step explanation:

9/15 = 0.6

0.6 x 100 = 60

Answer:

60

Step-by-step explanation:

Let x be the number

15/100 * x  =  9

multiply by 100

15x = 900              Divide by 15

x = 900/15

x =  60

Answer:

13m

Step-by-step explanation:

[tex]d=50tan(15)=13m[/tex]

The required distance from the boat to the foot of the light house, which is at sea level is 13meter

Given that,

The top of a light house 50 meters high,

The angle of depression of a boat out at sea has a measure of 15°.

We have to determine,

To the nearest meter the distance from the boat to the foot of the light house, which is at sea level.

According to the question,

The angle of depression may be found by using this formula = opposite/adjacent.

The opposite side in this case is usually the height of the observer or height in terms of location.

Therefore, angle of depression = 15degree

Height of the light house = 50m

The distance from the boat of the light house is denoted by d.

Then the distance from the boat of the light house is given as.

[tex]tan15 = \frac{d}{50} \\\\d = 50 \times tan15\\\\d = 50\times0.26\\\\d = 13[/tex]

Hence, The required distance from the boat to the foot of the light house, which is at sea level is 13meter

For more information about Trigonometry click the link given below.

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Answer:

3/4

Step-by-step explanation:

9/12 which can be simplified by dividing by 3 (the common factor) to get 3/4.

Answer:

The employees will work for 1 hour, will earn $5 per hour and will be paid $5

Step-by-step explanation:

System of Equations

The number of hours the employees work is x.

And the hourly wage that they are paid is y. The store manager is willing to pay the employees a wage given by the equation

10y-30x=20

The business owner states that the employees should be paid a wage given by the equation

6y+30x=60

Adding both equations we have:

16y = 80

Dividing by 16:

y = 80/16 = 5

Substituting into the first equation:

10*5-30x=20

Operating and simplifying:

50-30x=20

50 - 20 = 30x

30x = 30

x = 30/30 = 1

Thus, the employees will work for 1 hour, will earn $5 per hour and will be paid $5

Answer:

See below

Step-by-step explanation:

x% of y is found as:

So the answer is:

The equation that describes Ashton has 3 less dollars than Cole is a = c - 3.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given,  Ashton has 3 fewer dollars than Cole.

'a' represents the amount of money Ashton in dollars and c represents the amount of money Cole has.

So, a = c - 3.

Therefore, the equation that describes this relation correctly is,

a = c - 3.

learn more about numerical expressions here :

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If I am correct it is option C) 90/360

Answer: 3/300

Step-by-step explanation:

Answer:

The answer is

[tex]y = \frac{1}{3} x - 1[/tex]

Step-by-step explanation:

Let The equation is

[tex]y = mx + c[/tex]

Since the straight line intersects with Y axis at - 1

Then x equal to zero

Since m=1/3

Then

[tex]y = \frac{1}{3} x + c \\ when \: y = - \: \: and \: x = 0 \\ then \: c = - 1 \\ y = \frac{1}{3} x - 1[/tex]

Answer:

Step-by-step explanation:

Get the prime factors of each number and find GCF

CGF(24, 56, 96) = 2*2*2 = 8

Number of bags is 8

Each bag contains:

Answer:

8 bags

Step-by-step explanation:

Answer:

Step-by-step explanation:

25²-16²=369

369+x²=22²

x=10.72(correct to nearest tenth)

Answer:

Step-by-step explanation:

-3y = -2x + 4

3y = 2x - 4

y = 2/3x - 4/3

perp; -3/2

y + 3 = -3/2(x - 4)

y + 3 = -3/2x + 6

y = -3/2x + 3

Answer:

[tex]\boxed{4x^2yz}[/tex]

Step-by-step explanation:

[tex]24x^2y^2z^2 \: by \: 6yz = \frac{24x^2y^2z^2 }{6yz} = \\ \frac{(24)x^2y^2z^2}{(6)yz} = \frac{24}{6} \times \frac{yz}{yz} \times \frac{x^2yz}{1} = \\ \frac{4}{1} \times \frac{1}{1} \times \frac{x^2yz}{1} = \boxed{4x^2yz}[/tex]

Answer:

The triangles are congruent so AB=DE=6

AB=6

angle F= angle C

so F=50 degrees

Step-by-step explanation:

Answer:

Jane has $45, and Max has $39.

Step-by-step explanation:

M + J = 84

M = J-6

( J - 6 ) + J = 84

2J - 6 = 84

2J = 90

J = $45

M= $39

Answer:

Change in percent = 30%

Step-by-step explanation:

Given:

First value = 30

Second value = 39

Find:

Change in percent

Computation:

Change in percent = [(Second value - First value) / First value]100

Change in percent = [(39 - 30) / 30]100

Change in percent = [(9) / 30]100

Change in percent = 30%

Answer:

31

Step-by-step explanation:

Answer:

g = 31

Step-by-step explanation:

The entire angle is 90 degrees. Subtract 90 - 59 to find the value of g. You get 31.

Hope it helps!

Answer:

1.   Determine the slope of line AB:  4/3

2.  Determine the slope of line DC:  4/3

3.  Determine the length of line AB:  5

4.  Determine the length of line DC:  5

Answer:

The answer is 540^3

Step-by-step explanation:

The height is 6

base 1 or a is 10

base 2 or b is 18

base 3 or c is 20.59 (use Pythagorean theorem)

Answer:

x < 13

Step-by-step explanation:

We have an inequality and are asked to solve for x.

Inequality work the same as expressions when it comes to solving for x, the only difference is that when you divide by a negative, the inequality sign changes. Which is not a problem.

4x - 8 < 44

Add 8 to both sides :

4x < 52

Divide 4 from both sides :

x < 13

Answer:

86+18[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Use the properties of 45-45-90 triangles to get a side length of 18 for the 2 legs of the isosceles triangle. Then add 43+18, which is the shorter length of the rectangle, +25, which is the longer edge, +18[tex]\sqrt{2}[/tex]. The answer is now 86+18[tex]\sqrt{2}[/tex].

Answer:

111.4556

Step-by-step explanation:

Perimeter = 18 + 25 + 18√2 + 43

Perimeter = 86 + 18√2

Perimeter = 86 + 18(1.4142)

Perimeter = 86 + 25.4556

Perimeter = 111.4556

Correct question is;

Caitlin purchased a prepaid phone card for $20. Long distance calls cost 7 cents a minute using this card. Catin used her card only once to make a long distance all the remaining credit on her card is $16.8. how many minutes did her call last?

Answer:

45 minutes 43 seconds

Step-by-step explanation:

We are told that she purchase the prepaid phone card for $20.

Now she has $16.8 after making the call.

Therefore;

Amount spent on the call = 20 - 16.8 = $3.2

We are told that the long distance call costs 7 cents per minute. Which is $0.07 per minutes

Thus, time spent = $3.2/$0.07 = 45.714 minutes or 45 minutes 43 seconds

Answer:

Step-by-step explanation:

7/25 28%

0.24 6/25 24%

0.31818 7/22 31.818%

0.30435 7/23 30.435%

Answer:

7/25 (simplified) OR 28/100.

‎‎‎‎‎‎

Answer:

1.75 as a decimal or 1 3/4 as a mixed number

Answer:

-2x +5(-4x+1) =-17

-2x -20x+5=-17

-22x+5=-17

-22x=-22

x=1

y=-4(1)+1

y=4+1

y=5

(1,5)

Answer:

Yes

Step-by-step explanation:

It is a right triangle. If a(57) squared plus b(76) squared equals c(95) squared, it is a right triangle

Answer:

12.5

Step-by-step explanation:

Keep dividing by 2, 25 divided by 2 is 12.5

Answer:

$2.77 per quart.

Step-by-step explanation:

There are four quarts in a gallon.

4 * 3 = 12

There are 12 quarts in 3 gallons.

[tex]\frac{price}{quart} =\frac{33.24}{12}=\frac{33.14/12}{12/12}=\frac{2.77}{1}=\boxed{2.77}[/tex]

The price per quart should be $2.77.

Hope this helps.