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3 years ago

40 is what percent of 150

Mathematics

1 answer:

MariettaO [177]3 years ago

6 0

Always use this formula to find a percentage:

<span>% / 100 = Part / Whole</span> replace the given values:

40 / 100 = Part / 150

Cross multiply:

40 x 150 = 100 x Part, or

6000 = 100 x Part

Now, divide by 100 and get the answer:

Part = 6000 / 100 = <span>60</span>

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True or false the number 23 is a multiple of 3 because it ends in a 3

RoseWind [281]

False just because it’s end with a 3 that doesn’t mean it’s a multiple of 3 !

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3 years ago

Read 2 more answers

What is the equation of the following graph in vertex form? (3 points) parabolic function going down from the left through the p

oksano4ka [1.4K]

We have vertex form for parabola equation as

$Y = a(X-h)^2 + k$

where (h,k) is the vertex.

As the turning point given here is (2,1) so thats the vertex.

On comparing (2,1) with (h,k), we can see

h = 2, k = 1

Plugging 2 in h place and 1 in k place in

$Y = a(X-h)^2 + k$ we get

$Y =a(X-2)^2 + 1$ ------------------------ (1)

Now we need to find value of a.

For that we will use point (0,5) given on parabola.

On comparing (0,5) with point (X,Y) we get X = 0, Y = 5

so plug 0 in X place and 5 in Y place in equation (1)

$Y = a(X-2)^2 + 1$

$5 = a(0 -2)^2 + 1$

Simplify and solve for a as shown

$5 = a(-2)^2 + 1$

$5 = a(4) + 1$

5 -1 = a(4) + 1 - 1

4 = a(4)

$\frac{4}{4} = \frac{a(4)}{4}$

1 = a

Now plug 1 in a place in equation (1) as shown

$Y = 1(X-2)^2 + 1$

$Y = (X-2)^2 + 1$

So thats the vertex equation of parabola and final answer.

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3 years ago

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y <

shepuryov [24]

Answer:

See explanation

Step-by-step explanation:

You have to graph the system of inequalities presented as

$\left\{\begin{array}{l}y$

Part A:

1. Draw a dotted line $y=4x-2$ (dotted because the sign < is without notion "or equal to"). Select one of two regions by substituting the coordinates of origin into inequality:

$0$

Since this inequlity is false, the origin doesn't belong to the shaded region, so you have to shade that part which doesn't contain origin (red part in attached diagram).

2. Draw a solid line $y=-\frac{5}{2}x-2$ (solid because the sign ≥ is with notion "or equal to"). Select one of two regions by substituting the coordinates of origin into inequality:

$0\ge -\frac{5}{2}\cdot 0-2\\ \\0\ge -2$

Since this inequlity is true, the origin belongs to the shaded region, so you have to shade that part which contains origin (blue part in attached diagram).

The intersection of these two regions is the solution area.

Part B:

Plot point (-2,-2). Since this point doesn't belong to the solution area, this is not a solution of the system of two inequalities. You can check it mathematically - substitute x=-2 and y=-2 into the system:

$\left\{\begin{array}{l}-2$

Both inequalities are false, so (-2,-2) doesn't belong to the solution area.

3 0

3 years ago

I need some help please As soon as Possible

pogonyaev

Answer:

9. 32 (1/20) = 1.6

25 (1.6 = 40

5x + 5 = 40

5x + 5 - 5 = 40 - 5

5x = 35

(1/5) 5x = 35 (1/5)

x = 7

10. 24 (1/6) = 4

4 (4) = 16

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x + 6 - 6 = 16 - 6

x = 10

11. 20 (3/4) = 15

12 (3/4) = 9

2x - 11 = 9

2x - 11 + 11 = 9 + 11

2x = 20

(1/2) 2x = 20 (1/2)

x = 10

12. 8 (1/4) = 2

10 (1/2) = 5

-3 + x = 5

-3 + 3 + x = 5 + 3

x = 8

13. 10 (1/5) = 2

6 (2) = 12

2x - 10 = 12

2x - 10 + 10 = 12 + 10

2x = 22

(1/2) 2x = 22 (1/2)

x = 11

14. 16 (1/8) = 2

8 (1/2) = 4

2x - 16 = 4

2x - 16 + 16 = 4 + 16

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(1/2) 2x = 20 (1/2)

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3 years ago

Sung Lee invests $3,000 at age 18. He hopes the investment will be worth $6,000 when he turns 25. If the interest compounds cont

il63 [147K]

Answer:

10.4%

Step-by-step explanation:

Sung Lee invests $3,000 at age 18.

He hopes the investment will be worth $6,000 when he turns 25, that is, after 7 years.

The interest compounds (Compound Interest). The formula for the final amount in a compound interest is:

$A = P(1 + R)^T$

where P = Principal (Amount invested) = $3000

A = final amount = $6000

R = rate

T = number of years = 7 years

This implies that:

$6000 = 3000(1 + R)^7\\\\\frac{6000}{3000} = (1 +R)^7\\\\2 = (1 + R)^7$

Find the 7th root of 2:

$\sqrt[7]{2} = (1 + R)\\\\1.104 = (1 + R)\\\\=> R = 1.104 - 1\\\\R = 0.104$

=> R = 10.4%

Hence, the rate would need to be 10.4% for him to achieve his goal.

7 0

3 years ago