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likoan [24]
3 years ago
10

What is 40% of 120 ? What do I need to do.

Mathematics
2 answers:
Fiesta28 [93]3 years ago
6 0
120/x=100/40
(120/x)*x=(100/40)*x
120=2.5*x
120/2.5=x
48=x

40% of 120 is 48
kap26 [50]3 years ago
5 0
Multiply 120 by 0.40 to get 40%:
120 x 0.40 = 48

So 48 is 40% of 120
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Using translation concepts, the graph of f(x) = (x - 2)² + 3 is given at the end of the question.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

In this problem, we have that the parent and the translated function are given, respectively, by:

  • g(x) = x².
  • f(x) = (x - 2)² + 3.

The translations are as follows:

  • Right two units, as x -> x - 2.
  • Up 3 units, because f(x) = g(x) + 3.

Hence the graphs are given at the end of the answer, with the parent function in red and the translated function f(x) = (x - 2)² + 3 in green.

More can be learned about translation concepts at brainly.com/question/4521517

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5 0
2 years ago
Karl makes 7 1/2 batches of cookies using 1 1/2 dozen eggs. Suppose Karl only
vredina [299]

Answer:

5\ batches\ of\ cookies

Step-by-step explanation:

we know that

Karl makes 7 1/2 batches of cookies using 1 1/2 dozen eggs

so using proportion

Find out how many batches of cookies could he make with a dozen eggs

step 1

Convert mixed numbers to an improper fraction

7\frac{1}{2}=\frac{7*2+1}{2}=\frac{15}{2}

1\frac{1}{2}=\frac{1*2+1}{2}=\frac{3}{2}

step 2

Applying proportion

Let

x ----> the amount of batches of cookies

\frac{(15/2)}{(3/2)}\frac{batches}{dozen\ eggs}=\frac{x}{1}\frac{batches}{dozen\ eggs}\\\\x=\frac{15}{3}\\\\x=5\ batches\ of\ cookies

5 0
2 years ago
During the summer, the height of the water in the pool decreased by 5 inches each week due to evaporation. What is the change in
rjkz [21]

Answer:

40 inches

Step-by-step explanation:

We know that the height of water in a pool decreased 5 inches per week.

This means that we can form the equation y=-5x, since the amount of water remaining is proportionate to the amount of weeks that have passed.

We know x=8, since we need to find the change for 8 weeks.

y = -5\cdot 8

-5 \cdot 8 = -40

y=-40

The change will be the absolute value of -40, which just makes it positive, so 40.

Hope this helped!

8 0
3 years ago
Read 2 more answers
Please find the area.
lakkis [162]

Answer:

Step-by-step explanation:

area=15×9+1/2×6×9

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7 0
3 years ago
In the given figures find x and y
11Alexandr11 [23.1K]

Answer:

1) x = 40° & y = 50°

2) x = 100° & y = 80°

Step-by-step explanation:

1)

ABCD is a cyclic quadrilateral (∵ all the vertices of the quadrilateral are touching on the circle). As it is a cyclic quadrilateral , sum of it's opposite angles will be 180°.

⇒ ∠ADC + ∠ABC = 180°

⇒ 130° + y = 180°

⇒ y = 180 - 130 = 50°

In ΔABC ,

∠ACB = 90° (∵ AB is the diameter of the circle and a diameter subtends an angle of 90° on any point on circle.)

Using angle sum property of triangle ,

∠ABC + ∠ACB + ∠CAB = 180°

⇒ y + 90° + x = 180°

⇒ x + 50° + 90° = 180°

⇒ x + 140° = 180°

⇒ x = 180 - 140 = 40°

2)

ΔABC is an isosceles triangle (∵AB = AC). As it is an isosceles triangle , it's base angles will be equal. So , ∠ABC = ∠ACB = 50°

Using angle sum property of triangle ,

∠ABC + ∠ACB + ∠BAC = 180°

⇒ 50° + 50° + y = 180°

⇒ y + 100° = 180°

⇒ y = 180 - 100 = 80°

ABEC is a cyclic quadrilateral (∵ all the vertices of the quadrilateral are on the circle.). As it is a cyclic quadrilateral , sum of it's opposite angles will be 180°.

⇒ ∠BAC + ∠BEC = 180°

⇒ y + x = 180°

⇒ x + 80° = 180°

⇒ x = 180 - 80 = 100°

5 0
2 years ago
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