Divide 56 in a ratio of 5:3

Answers

Answer 1
Answer: There are 5 "parts" and 3 "parts"; which total "8 parts" (5 + 3 = 8); so, each part must be 56/8 = 7. so each part must be 56/7 = 8 
5 x 7 is 35
3 x 7 is 21 
___________
So the answer is 35:21 .

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Solve the linear equation 2.25 – 11j – 7.75 + 1.5j = 0.5j – 1.

(c) Danny also pulls two cards and says that his SUM is ZERO. What pairs of cards could Danny have pulled? List all correct answers and explain why or show your work. the cards are 1 2 3 4 5-1 -2 -3 -4 -5

Answers

-1 and 1

-2 and 2

-3 and 3

-4 and 4

-5 and 5

because when u subtract the numbers or add you will get 0

A recipe includes 2 cups of flour and two thirds cup of milk. write the ratio of the amount of flour to the amount of milk as a fraction in simplest form.

Answers

(2)/( (2)/(3) ) = 2* (3)/(2) = (6)/(2)(/2) = \boxed{(3)/(1)}
Flour:Milk
2:2/3
both multiply by 3
6:2
both divide by 2
3:1

Solve for the indicated variable.

s = p + g/h for g.

Answers

Answer:

g = h(s-p)

Step-by-step explanation:

  1. find the variable of interest — It is in the numerator of one of two terms on the right side of the equation
  2. subtract every term on that side not containing the variable — subtract p to get s-p = g/h
  3. multiply by the inverse of the coefficient of the variable of interest — the coefficient is 1/h, so we multiply by h to get ... h(s-p) = g
  4. rearrange to the desired form. Here, it is probably OK to leave the parentheses and to simply put g on the left

g = h(s -p)

Answer:

(s-p)*h =g

Step-by-step explanation:

s = p + g/h

Subtract p from each side

s-p = p=p + g/h

s-p = g/h

Multiply by h

(s-p) *h =g/h *h

(s-p)*h =g

A garden table and a bench cost $985 combined. The garden table costs $35 more than the bench. What is the cost of the bench?

Answers

let the cost price of bench be x
then cost price of garden table is x+35

total cost = x + x+35
985 = 2x +35
985 -35÷2 =x
425 =×
then the total cost of bench is 425 and garden is 460
985-35=950, 950÷2=475, 475+35=510, 510 and 475

If $396 is invested at an interest rate of 13% per year and is compounded continuously, how much will the investment be worth in 3 years?

Answers

if the interest is compound (yearly) then is calculated by 
A = P (1+r)^(t)

then after 3 years the investment will worth

396(1.13)^3 = $571.38

Answer:

\$584.88  

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest  is equal to

A=P(e)^(rt)  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal


t is Number of Time Periods  

e is the mathematical constant number

we have  

t=3\ years\n P=\$396\n r=0.13  

substitute in the formula above  

A=\$396(e)^(0.13*3)=\$584.88  


Solve for x: ax2 - 2ax + (a + 1) = 0

Answers

Answer

x=a 1/2+i / a 1/2

Step-by-step explanation: