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2 years ago

PLEASE HELP ME WITH THIS QUESTION. please and thank you.

Mathematics

2 answers:

sashaice [31]2 years ago

7 0

3(a+b) and 3a+b: not equivalent

4(x+2y) and 8y+4x: equivalent

aleksandr82 [10.1K]2 years ago

3 0

the first one is not equivelant the second one is equilavent

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-5(3-r)=30 Please help!

Andrej [43]

The answer to -5(3-r)=30

3 0

2 years ago

pablo will rent a car for the weekend. he can choose one of two plans. the first plan has an initial fee of $55.96 with addition

kow [346]

Answer:

200 miles

Step-by-step explanation:

First, set up the equations.

plan 1: initial fee of $55.96, $0.12 per mile

y = 0.12x + 55.96

plan 2: initial fee of $63.96, $0.08 per mile

y = 0.08x + 63.96

We want to know at what distance will the cost be the same. So, set the equations equal to each other.

0.12x + 55.96 = 0.08x + 63.96

Combine the variables.

0.04x + 55.96 = 63.96

Combine the constants.

0.04x = 8

Divide by 0.04 to isolate x.

x = 200 miles

Check by plugging x back into each equation.

y = 0.12(200) + 55.96

y = 24 + 55.96

y = $79.96

y = 0.08(200) + 63.96

y = 16 + 63.96

y = $79.96

You are correct!

8 0

2 years ago

When you divide a whole number by a whole number( other then one), the quotient is a smaller number?

Ostrovityanka [42]

Yes because division always makes numbers smaller. For example: 12 divided by 4 equals 3.

8 0

2 years ago

Carl wants to buy a television that cost $500 including taxes to pay for the television he will use a payment plan that requires

ozzi

Answer:

41%

Step-by-step explanation:

Given the cash price is $500, the hire purchase price is calculated by summing the installment and down-payment:

$Hire \ Purchase \ Price=Installments +Downpayments\\\\=8\times 72.50+125\\\\=705$

#Percentage increase in price is the difference between the hire purchase price and list price as a percentage of the list price:

$\bigtriangleup Price=705-500\\\\=205\\\\\%\bigtriangleup Price=\frac{\bigtriangleup Price}{500}\times 100\%\\\\\\=\frac{205}{500}\times100\%\\\\=41\%$

Hence, the % increase in price is 41%

7 0

2 years ago

One of the legs of a right triangle measures 9 cm and the other leg measures 11 cm.

ikadub [295]

Answer:

$\boxed {\boxed {\sf 14.2 \ cm}}$

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean Theorem to solve for the sides.

$a^2+b^2=c^2$

where a and b are the legs and c is the hypotenuse. In this triangle, we know the legs are 9 centimeters and 11 centimeters, or:

a= 9 cm
b= 11 cm

Substitute these values into the formula.

$(9 \ cm)^{2} +(11 \ cm)^{2} =c^{2}$

Solve the exponents.

(9 cm)²= 9 cm*9 cm=81 cm²

$81 \ cm^{2} +(11 \ cm)^{2} =c^{2}$

(11 cm)²= 11 cm*11 cm= 121 cm²

$81 \ cm^{2} +121 cm^{2} =c^{2}$

Add the values on the left side.

$202 \ cm^{2} =c^{2}$

Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.

$\sqrt {202 \ cm^{2} }=\sqrt{c^{2} }$

$\sqrt {202 \ cm^{2} }=c$

$14.2126704036 \ cm =c$

We are told to round to the nearest tenth.

14.2126704036

The 1 in the hundredth place tells us to leave the 2 in the tenth place.

$14.2 \ cm= c$

The hypotenuse is equal to 14.2 centimeters.

3 0

2 years ago