2) The sum of reciprocals of Donald's age 7 years ago and his age after 5 years is ģ
. How
old is Donald now?

Answer:

You would need 18 litres more of white paint to create Citron Green paint.

Step-by-step explanation:

Given the Green Apple paint contains 24 litres of green paint in a 2:1 ratio with white paint, we can conclude the mixture contains 12 litres of white paint because 24 / 2 = 12.

In a Citron Green paint mixture, the current paint mixture would contain 24 litres of green paint in a 4:5 ratio with white paint. This would mean there are 30 litres of white paint in this mixture.

24 / 4 = 6

5 x 6 = 30

To make Citron Green paint, you would need 18 litres more of white paint.

30 - 12 = 18

The amount of white paint that needs to be added is required.

He needs to add 75 liters of white paint.

Let x be amount of green paint

y be amount of white paint.

Amount of apple green paint is 90 L, so

[tex]x+y=90[/tex]

The ratio of green to white paint is 2:1, so

[tex]\dfrac{x}{y}=\dfrac{2}{1}[/tex]

Rearranging the equation

[tex]x=2y[/tex]

Substituting in the first equation

[tex]2y+y=90\\\Rightarrow y=\dfrac{90}{3}\\\Rightarrow y=30\ \text{L}[/tex]

Amount of white paint is 30 L.

Amount of green paint is [tex]x=2y=2\times 30=60\ \text{L}[/tex]

Amount of green paint added to the apple green paint is 24 L.

Amount of green paint in the mixture is 60+24 = 84 L.

Let the amount of white paint to be added in the mixture be y.

This will be added to the 30 L of white paint in the original mixture.

The ratio of green:white = 4:5, so

[tex]\dfrac{84}{y+30}=\dfrac{4}{5}\\\Rightarrow \dfrac{84\times 5}{4}=y+30\\\Rightarrow 105=y+30\\\Rightarrow y=105-30=75[/tex]

The amount of white paint to be added is 75 L.

Learn more about ratios:

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Answer:

michelle is 56 years old

Step-by-step explanation:

start with madeline you know she's 7, move on to fiona we know she is twice as old as madeline so we mulitply 7 times 2, we get 14. now we know fiona is 14 and in order to find michelles age we multiply times 4 because shes four time fionas age. 14x4=56.

First find fionas age

Fiona is 2x as old as madeline

madeline is 7

mulitply 7*2 which gives you 14

that means fiona is 14

multiply 14 by 4 which gives you 56

michelle is 56

Answer is 2nd answer

Answer:

cos theta=-1/2

theta=cos-¹(-1/2)=120

tan theta=tan 120=-√3

sin theta=sin120=√3/2

cos(- theta)=cos theta=cos 120=-1/2

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B. 100°

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#CarryOnLearning

Answer:

<h to <g

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Answer:

the perimeter is 960

Step-by-step explanation:

The computation of the perimeter is shown below;

If we assume

= (24 × 2) + (6 × 2)

= 48 + 12

= 60

And, the area is 16 times to that of original So

= 60 × 16

Hence, the perimeter is 960

Answer:

$1,065

Step-by-step explanation:

Simple interest equation: A=P(1+rt)

P (principal amount) = 750, r (rate) = 3.5%, t (time) = 12 years

A=750(1+(3.5)(12))

A=1065

The amount of an investment to be worth after 12 years should be considered as the $1,065

Since

The deposited amount is $750

The rate of interest is 3.5% per year.

And, the time period is 12

So,

A=750(1+(3.5)(12))

A=1065

Hence, The amount of an investment to be worth after 12 years should be considered as the $1,065

Learn more about rate here: https://brainly.com/question/13455383

Answer:

The answer would be 3

3x3x3 equals 27 you times it three times because its cube root of 27

Answer:

125

Step-by-step explanation:

cubed root of 27

"The cubed root of a number is the number that, when multiplied by itself three times (number x number x number), gives the original number. For example, the cubed root of 27 is 3, as 3 x 3 x 3 = 27. The cubed root of 125 is 5, as 5 x 5 x 5 = 125"

Answer:

Move all terms not containing the variable from the center section of the inequality.

−1<x<5

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

$175 at 5.45% for 36 months

First, we need to determine the monthly interest:

Monthly interest= 0.0545/12= 0.004542

Now, we will calculate the interest earned using both simple and compound interest:

Simple interest:

I= P*r*t

I= 175*0.004542*36

I= $28.61

Compound interest:

I= PV*(1+i)^n - PV

I= 175*(1.004542^36) - 175

I= $31.01

Answer:

M = (4,7)

Step-by-step explanation:

If points are (x₁,y₁) and (x₂,y₂), then the midpoints are given by :

[tex]M=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]

We have,

x₁ = -2, y₁ = 8, x₂ = 10 and y₂ = 6

So,

[tex]M=(\dfrac{-2+10}{2},\dfrac{8+6}{2})\\\\=(\dfrac{8}{2},\dfrac{14}{2})\\\\=(4,7)[/tex]

So, the midpoints of the given points are (4,7).

9514 1404 393

Answer:

  (a)  A'(-2, 1), B'(-4, -3), C'(-7, 0)

Step-by-step explanation:

If X is the center of rotation, the coordinates of point P are transformed like this:

  P' = -(P -X) +X

  P' = 2X -P

  (x, y) ⇒ (2(-5) -x, 2(3) -y)

  (x, y) ⇒ (-10-x, 6-y)

__

Your points are transformed to ...

  A(-8, 5) ⇒ (-10-(-8), 6-5) = A'(-2, 1)

  B(-6, 9) ⇒ (-10-(-6), 6-9) = B'(-4, -3)

  C(-3, 6) ⇒ (-10-(-3), 6-6) = C'(-7, 0)

These coordinates match the first choice.

Answer:

D

Step-by-step explanation:

to find the next term multiply by 3

Answer:

3, 6, 9, 12, 15

Step-by-step explanation:

just took quiz

Answer:

2.33

Explanation:

First find the mean:

1 + 10 + 7 + 6 + 4 + 8 = 36

36 / 6 ( there are 6 total numbers) = the mean is 6

Then subtract the mean from each number:

1 - 6 = -5

10 - 6 = 4

7 - 6 = 1

6 - 6 = 0

4 - 6 = -2

8 - 6 = 2

(don't worry about the negatives)

5 + 4 + 1 + 0 + 2 + 2 = 14

14 / 6 ( again, there are 6 total numbers) = 2.33

Answer:

The answer is 365

Step-by-step explanation:

just do 73 times 5 and you get your answer

Answer:

The first one

Step-by-step explanation:

Answer:

Ray AD is the anserw

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

2+3.3x-1.7=5.25

=> 3.3x = 5.25 +1.7 -2

=> 3.3x = 6.95 - 2

=> 3.3x = 4.95

[tex] = > x = \frac{4.95}{3.3} [/tex]

[tex] = > x = \frac{49.5}{33} [/tex]

=> x = 1.5 (Ans)

Answer:

Volume = 125 mm^3

Step-by-step explanation:

Here, we want to get the volume of the cube

What we have to do here is to substitute the value of the area

We have this as

:

V = 25^(3/2)

V = (√25)^3

V = 5 * 5 * 5 = 125 mm^3

Answer:y= -5

X=-6

-5/6

Step-by-step explanation:

Answer: Ben completes 3/10 of his book report  per hour

Step-by-step explanation:

Ben completes 1/4 of his book report in 5/6 of an hour

5/6 of an hour =  5/ 6 x 60 = 50 minutes

Therefore in 1 hour, which is = 60 minutes  he  completes

(1/4 x 60 minutes)/ 50 minutes

= 15/ 50

= 3/10 of his book report.

Answer:

solve it yourself

Step-by-step explanation:

length of ist part= 30 cm

breadth of ist part = 21 cm

area of ist part = 630 cm

diameter of 2nd part= 21 cm

area of 2nd part = ¼dπ

π= 22/7

= ¼× 21 ×22/7

=3×10.5

= 31.5cm²

total area = ist part +2nd part + 3rd part

=

Step-by-step explanation:

step 1. 1-12/20 = 1.6

step 2. 1.6 = 160%.

Answer:

A

Step-by-step explanation:

Answer:

The answer is lovely c