1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
riadik2000 [5.3K]
3 years ago
9

Given x : y: z = 5:1:3 and z - y = 28. find the value of x + y​

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
5 0

Answer:

x + y = 84

Step-by-step explanation:

Given

x : y : z = 5 : 1 : 3, then

\frac{x}{y} = 5 ( multiply both sides by y )

x = 5y ←

and \frac{y}{z} = \frac{1}{3} ( cross- multiply )

3y = z

Substitute z = 3y into z - y = 28

3y - y = 28

2y = 28 ( divide both sides by 2 )

y = 14 ← ←

Substitute y = 14 into x = 5y

x = 5 × 14 = 70 ← ←

Substitute y = 14 into z - y = 28

z - 14 = 28 ( add 14 to both sides )

z = 42 ← ←

Thus x = 70, y = 14 and z = 42

Hence x + y = 70 + 14 = 84

You might be interested in
How long a rope is required to reach from the top of a building 40 feet high 30 feet from the base of the building?
Goshia [24]
70 feet.
If you're 30 feet from the base, then you have to climb that 30 feet, plus the 40 foot length of that building. (:

7 0
4 years ago
Is the expression 4 - x the same as x – 4? Explain
jarptica [38.1K]

Answer:

Yes

Step-by-step explanation:

The order of the factors does not alter the product

4 0
4 years ago
Read 2 more answers
Find the equation of the line. <br> Use exact numbers.
AlekseyPX
The slope of the line (m) = 3/1  = 3  
and the y intercept is at (0,3)  that is y = 3  so b = 3

using the slope intercept form y = mx + b

m = 3 and b = 3

so answer is y = 3x + 3
8 0
4 years ago
Read 2 more answers
You go to the store and pick out 3 apples for $0.60 each, 2 bananas for $0.50 each, and 1 quart of yogurt for $4.50. At checkout
Thepotemich [5.8K]

Answer:

I'm not 100% sure but I think it's $6.20

Step-by-step explanation:

First you add up the apples which equals $1.80 then you add up the bananas which equals $1.00 then you add the yogurt together which amounts to $4.50. After that you add all of that together which totals to $7.30.

For the sake of finding the percentage we're gonna move the decimal point to the very end. ( so its 730.0). Now in order to find 15% we have to find 10%. To find 10%, you move the decimal point over one (73.00). So 10% of 730 is 73. 10% + 5% = 15%. And half of 10% is 5%. So, we cut 73 in half so now we have 36.5. Now we add 36.5 to 73 (because 10% + 5%=15%) I'm just gonna round 36.5 to 37, and 73+37= 110. Now we move the decimal point back so its $1.10. Now we subtract $1.10 from $7.30 which is equal to $6.20. So your answer is $6.20.

(I'm rlly bad at explaining things so sorry if this wasnt clear enough. Also I'm not the best at math but I guess I know percentages.)

8 0
3 years ago
What is 40% of 5?<br> i need help
natka813 [3]

Answer:

2

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Please Help FAST
    10·1 answer
  • What is the GCF of 48m5n and 81m2n2
    13·1 answer
  • Help me please I forgot my notes at school
    13·2 answers
  • The perimeter of a rectangle garden is 48 feet. The length is 5 times the width.
    13·2 answers
  • This table shows the linear relationship of the cost in dollars, y, of buying snack packets, x.
    6·1 answer
  • Please help simplify each expression 11 points
    15·1 answer
  • Complete the following statement.
    6·2 answers
  • Next time, the rabbit from the previous problem start at 10 where on the number line can he be after the same three jumps?
    11·1 answer
  • Write an equation and solve:
    9·1 answer
  • lines L, R, and S are coplanar. Suppose L is perpendicular to R and R is perpendicular to S. Is L perpendicular to S? Explain.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!