MATHEMATICS HIGH SCHOOL

There are 5/6 as many black pants as blue pants in george's closet. There are 5/9 as many black pants as brown pants in his closet. What is the ratio of the number black pants to the total number of pants in his closet?

Answers

Answer 1
Answer:

Answer is the ratio   1 : 4

Work Shown

x = number of black pants

y = number of blue pants

z = number of brown pants

x = (5/6)y

x = (5/9)z

z = (9/5)x

x+y+z = total number of pants

x+y+z = (5/6)y + y + (9/5)x

x+y+z = (5/6)y+y+(9/5)*(5/6)y  

x+y+z = (5/6)y+y+(3/2)y

x+y+z = (5/6)y+(6/6)y+(9/6)y

x+y+z = ( (5+6+9)/6 )y

x+y+z = (20/6)y

x+y+z = (10/3)y

numberOfBlackPants : Total

(5/6)y : (10/3)y

6*(5/6)y : 6*(10/3)y

5y : 20y

5 : 20

1 : 4

The ratio of the number of black pants to the total number is 1 : 4

It means the total is 4 times that of the number of black pants.

Related Questions

How do I solve this?
David invested R1000, what would that money grow to in 18 months at 5.5% interest rate
What is one fourth divided by 2
Find the slope in the graph
Solve the equation x/5=3/4

How many 50s are in 2500

Answers

Answer:50

explanation: 2500 divided by 50 is 50

Someone ppl ease help meeeee. Match them

Answers

Answer:

Step-by-step explanation:

2/5 is 0.4

0.75 is 3/4

5/8 is 0.625

0.875 is 7/8

2/5=0.4

0.75=3/4

5/8=0.625

0.875=7/8

Which shows the dimensions of two rectangular prisms that have volumes of 72 cm3 but different surface areas? A. 6 cm by 3 cm by 4 cm; 12 cm by 2 cm by 3 cm B. 2 cm by 4 cm by 9 cm; 9 cm by 4 cm by 2 cm C. 3 cm by 3 cm by 8 cm; 2 cm by 6 cm by 8 cm D. 6 cm by 3 cm by 4 cm; 9 cm by 4 cm by 3 cm

Answers

To solve, lets find the volumes of all of the options...

V=l*w*h

A. 
6*3*4=72cm³
12*2*3=72cm³

B.
2*4*9=72cm³
9*4*2=72cm³

C.
3*3*8=72cm³
2*6*8=96cm³

D.
6*3*4=72cm³
9*4*3=108cm³

We can conclude that C & D aren't the answer, since they contain prisms that don't have a volume of 72cm³.

Now lets solve for the surface area of A and B...

A. 
sA=2(wh+lw+lh)=2(6*3+4*6+4*3)=2(18+24+12)=2(54)=108cm²
sA=2(wh+lw+lh)=2(12*2+3*12+3*2)=2(24+36+6)=2(56)=112cm²


B.
sA=2(wh+lw+lh)=2(2*4+9*2+9*4)=2(8+18+36)=2(62)=124cm²
sA=2(wh+lw+lh)=2(9*4+2*9+2*4)=2(36+18+8)=2(62)=124cm²

A is the only option with both similar volumes of 72cm³ and different surface areas...

Answer=A

Answer:

A

Step-by-step explanation:

A, is the answer

A certain animal in the zoo has consumed 39 pounds of food in six days. If it continues to eat at the same rate, in how many more days will its total consumption be 91 pounds?

Answers

14 pounds
because it eats 6.5 pounds a day (39 divided by 6) and you take the 91 pounds and divide it by the amount of food it eats in 1 day to get your total
It will be 14 days to get 91

Donna's company reimburses her expenses on food, lodging, and conveyance during business trips. The company pays $50 a day for food and lodging and $0.60 for each mile traveled. Donna drove 200 miles and was reimbursed $1,620. Part A: Create an equation that will determine the number of days on the trip. (3 points) Part B: Solve this equation justifying each step with an algebraic property of equality. (6 points) Part C: How many days did Donna spend on this trip? (1 point)

Answers

Answer:

See below

Step-by-step explanation:

Part A

Let number of days be d, then the equation is:

  • 50d + 200*0.6 = 1620

Part B

Solution of the equation

  • 50d + 120 = 1620
  • 50d + 120 - 120 = 1620 - 120   ⇒ subtraction property of equality
  • 50d = 1500
  • 50d / 50 = 1500/50                ⇒ division property of equality
  • d = 30

Part C

  • 30 days as above

Find (fog)(x). f(x) = 2x g(x) = x + 6

write your answer as a polynomial in simplest form.
(f•g)(x)=​

Answers

Answer: (f•g)(x)=​2x²+12x

Step-by-step explanation:

(f•g)(x) is the same as saying f(x)•g(x). Since we have f(x) and g(x), we can just multiply them together.

(f•g)(x)=​2x(x+6)                [distribute by FOIL]

(f•g)(x)=​2x²+12x              

Now, we know that (f•g)(x)=​2x²+12x.
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