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3 years ago

Sally's cat is 3 years older than Helen's dog. The product of their ages is 54. How old is Helen's dog?

1 answer:

7 0

The first thing that we have to do is to assign variables to the cat's and the dog's ages. Let us use c to represent the age of the cat and d for the dog's age. So, let's translate the word problem into a mathematical one.

c = d + 3

This is the first equation while the second equation is

(d+3)*d = 54

which becomes

d^2 +3d -54 = 0

which can be factored into (d-6)(d+9). This gives us two roots which are 6 and -9. However, age is a non-negative number so we will take 6 as the age of Helen's dog. Thus, making Sally's cat 9 years old.

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Tammy's allowance is $5.00. She did extra chores around the house and earned an

ikadub [295]

Answer:

5.50 this should help :p

8 0

3 years ago

Read 2 more answers

Simplify the expression using order of operation 5 x 2 + 3 to the power of 2

TiliK225 [7]

answer= 1

5 x 2 - 3^2

1. First simplify exponents

= that is nine

2. Then Do 5 x 2- 9

5 x 2=10

10-9

= 1

6 0

3 years ago

Find the surface area of the composite figure. 4 cm 3 cm 5 cm 3 cm 4 cm 5 cm 6 cm 4 cm If you'd like, SA = [ ? ] cm2 you can use

IrinaVladis [17]

The surface area of the composite figure is 144 square cm after calculating separately.

<h3>What is a triangular prism?</h3>

When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is the name given to this novel 3D object.

We have a composite figure made up of a triangular prism and a cuboid

First we calculate the surface area of the triangular prism:

= 2(area of one triangle) + area of three rectangles

= 2[(1/2)6×4] + 3×5 + 3×5

= 24 + 15 + 15

= 54 square cm

Surface area of rectangle(with three faces) = 2(4×3 + 4×6) + 3×6

= 2(12 + 24) + 18

= 72 + 18 = 90 square cm

Total surface area of figure = 54+ 90 = 144 square cm

Thus, the surface area of the composite figure is 144 square cm after calculating separately.

Learn more about triangular prisms here:

brainly.com/question/16909441

#SPJ1

7 0

2 years ago

5 x 2 x (-4) + 6 divided by 2<br><br> 43<br> -37<br> -23<br> -17

Eva8 [605]

There is a certain order that we follow in doing any mathematical operation:
First we get rid of any operation within brackets, then we do multiplication and divisions and finally we do additions and subtractions.

We need to evaluate: 5x2x(-4) + 6:
So since we have no operations within brackets, then we will do the multiplications first (in their order) then the addition:
5x2x(-4)+6 = 10x(-4)+6 = -40+6 = -34

Now, we need to divide -34 by 2:
-34/2 = -17

The answer is: -17

7 0

3 years ago

A company has six employees.The salary of five of the employees are P2200,P1300,P800,P940 and P560.When the sixth employee is in

Dafna1 [17]

Answer:

First answer is 1200

Second answer is 900 for each new employee

Step-by-step explanation:

First answer:

2200+1300+800+940+560+x = 7000

5800+x = 7000 subtract 5800 from both sides and you get your answer

x = 1200

Second answer:

x = 900. Each of the two employees made 900 a month or 1800 a month for both of them.

To find the average we take the total salaries and divide by the number of people to find the average salary. In this case, we know the average and we know all of the salaries, but two. We can figure this out.

(7000 + 2x)/8 = 1100 multiple both sides by 8 to clear the fraction/

7000 +2x = 8800 Subtract both sides by 7000

2x = 1800 Divide both sides by 2

x = 900

3 0

2 years ago