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Gelneren [198K]

3 years ago

9

Robert and his friends are going into a grocery store. How much would it cost to buy 4 bananas and 5 peaches if each banana cost

s $0.40 and each peach costs $0.75? How much would it cost to buy 4 4 bananas and 5 5 peaches if each banana cost $ x $x and each peach cost $ y ? $y

1 answer:

Sati [7]3 years ago

6 0

Answer:

4*0.40+5*0.75=5.35

Step-by-step explanation:

You might be interested in

The vertices of ΔRST are R(–1,–1), S(–1,11) and T(4,11). Which could be the side lengths of a triangle that is similar but not c

Step2247 [10]

The side lengths could be 10, 24 and 26 units.

We must first find the side lengths. We use the distance formula to do this.

For RT:
$d=\sqrt{(11--1)^2+(-1--1)^2}
\\=\sqrt{(11+1)^2+(-1+1)^2}
\\=\sqrt{12^2+0^2}=\sqrt{144}=12$

For ST:
$d=\sqrt{(11-11)^2+(4--1)^2}
\\=\sqrt{0^2+(4+1)^2}=\sqrt{5^2}=\sqrt{25}=5$

For TR:
$d=\sqrt{(11--1)^2+(4--1)^2}
\\=\sqrt{(11+1)^2+(4+1)^2}=\sqrt{12^2+5^2}=\sqrt{144+25}=\sqrt{169}=13$

Our side lengths, from least to greatest, are 5, 12 and 13.

To be similar but not congruent, the side lengths must have the same ratio between corresponding sides but not be the same length. 10, 24 and 26 are all 2x the original side lengths, so this works.

5 0

3 years ago

A 70 cm long stick is cut into two parts in such a way that the longer part is 20 cm longer than the shorter part. How long is e

Dahasolnce [82]

Answer:

Long part= 45

Short part= 25

Step-by-step explanation:

Let the short part of the stick be x

Let the long part be x+20

The total length of the stick is 70cm

x + (x+20)= 70

x+x+20= 70

2x+20= 70

2x= 70-20

2x= 50

x= 50/2

= 25

Longer part length= 20+25

= 45

The short part is 25

5 0

2 years ago

serg [7]

(3)(-5x+y=-3)
(5)(3x-8y=24)

-15x+3y=-9
15x-40y=120

3y=-9
-40y=120

-37y=111
Divide both sides by -37

y=-3

To solve for x. Choose one equation from the given and plug what you get in Y.

I'll choose, -5x+y=-3
So, -5x+(-3)=-3
-5x=0
Divide both sides by -5
x=0/-5

Hope, this helps.

5 0

3 years ago

How do you work this out?

Ira Lisetskai [31]

I'm guessing you find the length of the hypotenuse using the pythagorean theorem.

a² + b² = c² a and b are the legs and c is the hypotenuse

15² + 8² = c²

225 + 64 = c²

289 = c²

√289 = √c²

17 = c

hope that helps, God bless!

3 0

3 years ago

Read 2 more answers

3. Suppose your credit card has a balance of $7800 and an annual interest rate of 16%. You decide

Blizzard [7]

Answer:

$274.22 per month
$2071.92 in total interest
$433.48 more per month
$1379.52 less in interest

Step-by-step explanation:

a) The amortization formula is used to find the monthly payment (A):

A = P(r/n)/(1 -(1 +r/n)^(-nt))

for a loan of a principal amount P at annual rate r compounded n times per year for t years.

For a borrowed amount of $7800 at 16% compounded monthly for 3 years, the payment will be ...

A = $7800(.16/12)/(1 -(1 +.16/12)^(-12·3)) ≈ $274.22

You must pay $274.22 each month to pay off the credit card in 3 years.

__

b) The total amount repaid is 36 times this monthly payment, so is ...

$274.22 × 36 = $9871.92

The amount by which this exceeds the principal borrowed is ...

$9871.92 -7800 = $2071.92

You will pay $2071.92 in interest.

__

c) Changing the time period to 1 year gives the payment value ...

A = $7800(.16/12)/(1 -(1 +.16/12)^(-12·1)) ≈ $707.70

The additional amount you must pay is ...

$707.70 -274.22 = $433.48

You must pay $433.48 more each month.

__

d) Your total interest with the higher payments will be ...

$707.70×12 -7800 = $692.40

The difference in interest amounts is ...

$2071.92 -692.40 = $1379.52

You will pay $1379.52 less in total interest.

_____

<em>Caveat</em>

Here, the monthly amounts are rounded and the total repayment amount is based on that rounded value. In an actual payment situation, the final payment will be adjusted by a small amount to account for the fact that the monthly payment shown is not exact. That will affect the total interest and the difference in interest.

8 0

3 years ago