Sonny is twice as old as Wale. Four years ago, he
was four times as old as Wale. When will the
sum of their ages be 66?

Answers

Answer 1

Let S be Sonny age now and W be Wale age now

[tex]S=2W[/tex]

[tex]S-4=4(W-4)[/tex]

[tex]S-4=4W-16[/tex]

[tex]S=4W-16+4=4W-12[/tex] but [tex]S=2W[/tex]

[tex]2W=4W-12[/tex]

[tex]2W-4W=-12[/tex]

[tex]-2W=-12[/tex]

[tex]W=12[/tex] ÷ [tex]2=6[/tex] years old age of Wale now[tex]S=2W=2(6)=12[/tex] years old age of Sonny now

When will the sum of their ages be 66? Let x be the number of years from now that the sum of their ages be 66, so Sonny will be [tex]12+x[/tex] and Wale will be [tex]6+x[/tex]:

[tex](12+x)+(6+x)=66[/tex][tex]18+2x=66[/tex][tex]2x=66-18=48[/tex][tex]x=48[/tex] ÷ [tex]2=24[/tex] years from now

Therefore, 24 years from now, Sonny will be [tex]12+24=36[/tex] years old and Wale will be [tex]6+24=30[/tex] years old and the sum of their ages will be [tex]36+30=66[/tex] years.

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Related Questions



8. an airplane is approaching seattle international airport. the pilot begins a 13

degree angle of descent starting from a height of 500 feet. how far from the airport

is the plane? round to the nearest tenth. (2 points)

work:

10° angle of descent

airport

the plane is away from the airport.

Answers

Answer:

x=2164.50

Step-by-step explanation:

tan13=500/x

x=500/tan13

x=500/0.231

x=2164.50

I think this is correct but im not to sure

if 15 mini pizzas cost 25 dollars how much would 25 mini pizzas cost?

Answers

Answer:

41.75

Step-by-step explanation:

First we divide :)

25/15 = 1.67

Now we multiply!!

1.67 x 25 = 41.75

Have an amazing day!!

Please rate and mark brainliest!!

i dont understanddd??/

Answers

Answer:

208 m^2

Step-by-step explanation:

Add the area of all of the rectangles and/or squares

4x6*2   +   4x8 *2   +    6x8 * 2

total = 208 m^2

WILL GIVE BRAINLIEST, THANKS, AND 5STARS!
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Answers

Answer:

h(.5)= -16(.5)^2 + 50

= 46

Q. Find the area of the figure. 10 cm2 12 cm2 20 cm2 24 cm2​

Answers

Answer:

[tex]24cm^{2}[/tex]

Hope This Helps! :) Please give Brainliest if it does!

Add: (g2 – 4g4 + 5g + 9) + (–3g3 + 3g2 – 6) Rewrite terms that are subtracted as addition of the opposite. g2 + (–4g4) + 5g + 9 + (–3g3) + 3g2 + (–6) Group like terms. Combine like terms. Write the resulting polynomial in standard form. Complete the steps to find the sum. What is the sum? –7g4 + 4g3 – 3g2 + 5g – 3 –4g4 – 3g3 + 4g2 + 5g + 3 –4g4 + 4g2 + 14g – 6 –3g4 + 14g – 6

Answers

Answer:

   (b)  –4g^4 – 3g^3 + 4g^2 + 5g + 3

Step-by-step explanation:

The simplification process is described and partially carried out. We are to finish by combining like terms and writing the result in standard form.

__

Combine Like Terms

  g^2 + (–4g^4) + 5g + 9 + (–3g^3) + 3g^2 + (–6) . . . . given

The like terms are the g^2 terms and the constants.

  = (1 +3)g^2 + (–4g^4) +5g +(9 +(–6)) +(–3g^3)

  = 4g^2 +(–4g^4) +5g +3 +(–3g^3)

__

Write in Standard Form

In this form, the terms are written in order of decreasing degree.

  = –4g^4 –3g^3 +4g^2 +5g +3

Answer:

(b)  -4g^4 - 3g^3 + 4g^2 + 5g + 3

Step-by-step explanation:

Ed22

Write (8 x 10) + (6 x 1) +(2 x 0.1) + (7 x 0.001) with words.

Answers

Answer:

Eight times ten plus six times one plus two times one-tenth plus seven times one-thousandth.

Step-by-step explanation:

(8 x 10) = eight times ten

(6 x 1) = six times one

(2 x 0.1) = two times one-tenth

(7 x 0.001) = seven times one-thousandth

I am not always the best with the equations to words stuff, so please comment if I am wrong!

I need help with 5/9 divided by 3/8

Answers

Answer:

40/27 or

1 and 13/27

Step-by-step explanation:

Use Keep-Change-Flip to divide fractions.

Problem:

5/9 ÷ 3/8

KEEP the first fraction, the 5/9, just copy it exactly, no changes.

CHANGE the ÷ to ×

5/9 ×

FLIP the second fraction, the 3/8. Flip it over (reciprocal)

5/9 × 8/3

Now do this problem. You can "cancel" (which is really dividing) or multiply straight across (top×top, bottom×bottom)

5/9 × 8/3

= 40/27

This cannot be reduced. It is a perfectly good answer just like this. But since there is a larger number on top, your teacher/class/book/program, might want you to change it to a mixed number.

40/27 = 1 13/27

help help help please thanks

Answers

Answer:

1/15   gal / mile   if your numbers are correct

Step-by-step explanation:

1/5   /   15/4     =   1/5  * 4 / 15 =  4/60 = 1/15

Pentagon A is rotated 180° about its center and then translated to create pentagon B.

What is the value of x?​

Answers

The value of x after the simultaneous rotation and translation of pentagon A to create pentagon B is 110°

What is the translation of plane figures?

A plane figure translation is an isometry that translates each position of the figure at a distance and in a direction indicated by the vector.

It is also regarded as a sort of transformation that involves sliding each point in a plane figure at an identical distance in a similar direction.

From the attached image, the value of x after the simultaneous rotation and translation of pentagon A to create pentagon B is 110°.

Learn more about the translation of plane figures here:

https://brainly.com/question/2467920

A piece of gold has a mass of 14.12 grams and a volume of 4 cubic centimeters. What is the density of the gold?

Answers

Answer:

3.53 g/cm^3.

Step-by-step explanation:

Density = mass/volume

= 14.12/ 4

= 3.53 g/cm^3.

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Answers

Answer: H is approximately 3ft (to nearest whole number)

Step-by-step explanation:

250 = π(5)²h

250 = 25×3.14×h

250 = 78.5h

H = 250/78.5h = 3.19

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Answers

Answer:

Image result for how do you do 6-4 6-5 math in 8th grade

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Step-by-step explanation:

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Answers

Answer:

if you want i can make it into typed numbers with no file just tell me in the comments

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The product of three and a squared number is twice the sum of the number and four.
A. 3x2 = 2(x+4)
B. (3x)2 = 2(x+4)
C. (3x)2 = 2x +4
D. 3x2 = 2x+4

Answers

Answer:

It B option.

Step-by-step explanation:

I hope it's the right answer.

A pole that is 3.2 meters tall casts a shadow that is 1.18 meters long. At the same time, a nearby tower casts a shadow that is 42.25 meters long. How tall is the tower? Round answer to the nearest tenth.​

Answers

Answer:

114.6 meters tall

Step-by-step explanation:

If you draw out the poles and shadows, you can connect the end of the shadow to the top of the pole. This creates two traingles that are proportional. This allows you to set up the proportion:

3.2 m / 1.18 m = x / 42.25 m

You can then cross multiple and get:

1.18x = (3.2)(42.25)

1.18x = 135.2

You can then divide and solve for x.

x = 114.6 m

X is a variable for the height of the taller pole, so you can simply add units and thats the height.

Sofia buys a two-gallon bottle of juice for $35.84. what is the unit rate of the cost of the juice per fluid ounce?

how many fluid ounces of juice did sofia buy?

Answers

Answer:

$0.14 per fl oz /// 256 fl oz of juice.

Step-by-step explanation:

The number of fluid oz per gallon = 128

2 gallons = 256 fl oz

$35.84/256= $0.14.

--------------------------------------

1 gallon = 128 fl oz.

128x2 = 256

2 gallons = 256 fl oz.

Betty sits 9 feet from the fulcrum and weighs 100 pounds. How far should Ginger sit if she weighs 125
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Answers

Answer:

7.2 feet

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

The services will be provided by a full-service broker but not by a discount broker will be the research of potential investment opportunities, purchase, and sale of stock at your request.

What is a broker?

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The services of a full-service broker include;

1. Look into investment alternatives that may be advantageous.

2. Can trade in stock at a client's request.

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Hence option a ( i and iii ) are correct.

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:29/3 x 10 = 290 / 3 = 96 2/3 inches

Step-by-step explanation:

Jamie has 70 coins. They total $6.30. If they are only dimes and nickels find out how many of each she has.​

Answers

Answer:

Jamie has 14 nickels and 56 dimes

Step-by-step explanation:

Start by identifying labels for the # of dimes and nickles. Lets use x for nickels and y for dimes.

From here you can make two formulas (x + y = 70) and (5x + 10y = 630) when you put them into a graphing calculator they should intersect at (14,56) which means the x = 14 and y = 56

8. Find the Mean Absolute Deviation of the set: 10, 5, 7, 14, 19, 32, 25​

Answers

Answer: 16

to find the mean you have to add all the numbers up and divide it by how many numbers are in the set

Answer:

[tex] \frac{10 + 5 + 7 + 14 + 19 + 32 + 25}{7} \\ = 16[/tex]

What is the factored form of 8x2 12x? 4(4x2 8x) 4x(2x 3) 8x(x 4) 8x(x2 4)

Answers

I think the answer is 4x(2x 3)

5. Solve for x in the parallelogram below.

Answers

Answer:

11

Step-by-step explanation:

42 is also the degree for x so 42+42=84

there are 360 total degrees in a parallelogram

360-84=276

276 is divided by 2 as y and w are the same degrees

138 + 5 to find x and that is 143

143/13 is 11

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A. 0, 4, -5, -8.
C.-8, -5, 0,4
B.-5, -8,0,4
D. 4,0, -5, -8

Answers

Answer:

This is the answer

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What is the center and radius of the circle?

Answers

Answer:

Center = (5,-3)     radius = sqrt (36) = 6

Step-by-step explanation:

At the grocery store, peaches cost $2.80 per pound. Stacey wants to buy 20 peaches that each weigh 4 oz. How much will Stacey need to pay for the peaches? HINT: There are 16 ounces in 1 pound.​

Answers

Answer:

$14.00

Step-by-step explanation:

So, the 20 peaches all weigh 4 oz, and there are 16 oz in 1 pound. 16 oz divided by 4 is also equal to 4 oz, so we need to divide $2.80 by 4, which would be $0.70. That means that a 4 oz peach would be $0.70, so we multiply that by 20, which gives us $14.00, so Stacey will need $14.00 to buy 20 peaches that each weigh 4 oz.

Select the correct answer. Solve the following inequality for x. ​

Answers

Answer:

c. x>1

Step-by-step explanation:

-26 + 13x + 2 > 2 - 13x

-26 + 13x > -13x

13x + 13x > 26

26x > 26

= x>1

Congruent to angle B

Answers

Answer:

-------------------

Step-by-step explanation:

while the other answer is not wrong in this case, it is not complete.

"congruent angle" means the angles are equal.

so, yes, diagonally down is one, but also at exactly the same 2 spots over at the intersection point of the blue line with the second parallel red line.

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