A China cup and saucer cost 12$. The cup on its own cost 3$ more than the saucer. Form an eqaution for s and solve it. Find the cost of the cup

Answers

Answer 1
Answer: If the cup = S + 3
and the
saucer = S
then


(S + 3) + S = 12
2s + 3 = 12
2s = 9
s = 4.50

So by itself the saucer costs $4.50. To find the cost of the cup look to the beginning of the problem where we learned that

Cup = S + 3
cup = 4.50 + 3
cup = 7.50

So the saucer is $4.50 and the cup is $7.50...

4.50 + 7.50 = $12.00

It checks!

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The roots of the function f(x) = x2 – 2x – 3 are shown. what is the missing number? x = –1 and x =

20x3 + 12x2 + 5x + 3

Answers

i hope this helps you

Answer: ( 5x+3) (4x2 (squared) + 1)

Step-by-step explanation:

RS= 6x-8UV= 4x+2


write and solve an equation to find the value of x (show work)


What is the length of RS


What is the length of UV

Answers

Answer:

The length of RS is 22

The length of UV is 22

Step-by-step explanation:

6x-8. ---------- equation (i)

4x+2 ------------ equation (ii)

Now,

equating equation i and ii, we get

6x-8 = 4x+2

or, 6x-4x = 2+8

or, 2x = 10

or, x = 10/2

.°. x = 5

Then,

length of RS = 6x-8

= 6×5-8

= 30-8

= 22

Again

length of UV = 4x+2

= 4×5+2

= 20+2

= 22

Final answer:

The value of x is 5. The length of both RS and UV is 22.

Explanation:

In mathematics, when two lines or segments are said to be equal, it means you can set your two given equations equal to each other. In this case, you can equate RS to UV, which would give you the equation 6x - 8 = 4x + 2. To solve for x, you would start by moving the 4x from the right side of the equation over to the left by subtraction to get 2x - 8 = 2. Next, to isolate x, you would move the 8 over to the right side of the equation using addition, so the equation becomes 2x = 10. Finally, divide each side by 2 to get x = 5. To find the lengths of RS and UV, substitute x = 5 into the original equations, yielding RS = 6*5 - 8 = 22 and UV = 4*5 + 2 = 22.

Learn more about solving equations here:

brainly.com/question/14410653

#SPJ3

I have some white and black marbles in a box. There are 30 white marbles. There are 14 more white marbles than black marbles. How many black marbles do I have?

Answers

(30 white marbles) - (14 marbles) = 16 black marbles.
that makes 46 marbles in all

A negative number is _____ a positive number

Answers

A negative number is less than a positive number

A recipe calls for cup of broth. The largest volume-measuring tool that Tabitha has is a teaspoon. She knows that there are 16 tablespoons in 1 cup and 3 teaspoons in 1 tablespoon. How many teaspoons of broth should she use?

Answers

Hey there

We know that a recipe calls for cup of broth. The largest volume-measuring tool that Tabitha has is a teaspoon. She knows that there are 16 tablespoons in 1 cup and 3 teaspoons in 1 tablespoon.  

To solve the problem we have to use multiplication 

16 x 3 = 48 

 
She should use 48 teaspoons of broth. 

1c = 16t = x((1)/(3))
1c = 16t = 16 X 3
1c = 16t = 48

She should use 48 teaspoons of broth. 

Gertrude takes out a $5,500 subsidized Stafford loan, which must be paid back in ten years. Gertrude will graduate four years after taking out the loan. If the loan has an interest rate of 6.8%, compounded monthly, and Gertrude makes monthly payments, how much interest will she pay by the time the loan is repaid? Round all dollar values to the nearest cent.

Answers

Answer:

Interest paid = $2,095.30

Step-by-step explanation:

Gertrude takes out a $5,500 subsidized Stafford loan.

The loan has an interest rate of 6.8%, compounded monthly.

Present Value = $5,500.

Time period = 10 years. So N = 10 x 12 = 120 months.

Interest rate, R = 6.8/1200 = 0.005666667

Then PV = Pmt * [1 - (1+R)^(-N)]/(R)

5500 = Pmt * [1 - (1+0.005666667)^(-120)]/(0.005666667)

Pmt = $63.29418157

She made total repayment = 63.29418157 x 120 = $7,595.30

Interest paid = Total repayment - Loan Principal = $7,595.30 - $5,500 = $2,095.30

Interest paid = $2,095.30

Answer:

Interest to be paid = $2904

Step-by-step explanation:

As we know the formula of per month installments

E.M.I.=(P* r* (1+r)^(n))/((1+r)^(n)-1)

By putting the value of P (loan applied for)=$5500

r (Monthly rate of interest) =(6.8)/(12* 100)

n = number of monthly installments = 10×12 = 120

E.M.I.=(5500* ((6.8)/(12* 100))(1+(6.8)/(1200))^(120))/((1+(6.8)/(1200))^(120)-1)

=(5500* .00567* (1+.00567)^(120))/((1+.00567)^(120)-1)

=(5500* .00567* 1.971)/(1.971-1)

=(61.461)/(0.971)=$63.29

E.M.I.=$63.29

Total Installments of loan =120

Therefore total amount paid against loan = $63.39×120=7594.28

So interest paid = 7594.28-5500= $2094.28