MATHEMATICS MIDDLE SCHOOL

Katie knew that 70 + 70 = 140. Explain how she can use this double to solve 70 + 80.

Answers

Answer 1

Answer:

Answer:

see below

Step-by-step explanation:

70 + 70 = 140.

We know that 80 is 10 more than 70

the answer to 70+80 must be 10 more than the answer to 70+70 =140

so 140+10 = 150

Answer 2

Answer:

Answer:

you would just add 10 to 140

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How do I work out the following simultaneous equations?x+3y=11 and 2x-y=11

Thank you, this is part of my half term homework and I really need to understand how to do this as soon as possible , thank you!

Answers

I'll show you two ways.

By substitution:

$x+3y=11\n2x-y=1\n\nx=11-3y\n2x-y=1\n\n2(11-3y)-y=1\n22-6y-y=1\n-7y=-21\ny=3\n\nx=11-3\cdot3\nx=11-9\nx=2\n\n\boxed{(x,y)=\left(2,3\right)}$

By elimination:

$x+3y=11\n 2x-y=1|\cdot 3\n\nx+3y=11\n\underline{6x-3y=3}\n7x=14\nx=2\n\n 2+3y=11\n3y=9\n y=3\n\n\boxed{(x,y)=\left(2,3\right)}$

Two number cubes, each with the numbers 1 through 6, are rolled. What is the probability that the sum of the rolled numbers is 2?

Answers

Answer:

1/36

Step-by-step explanation:

The only way to get a sum of 2 with two dice is to roll 1s on both. there is one 1 on each dice, so you have a 1/6th chance for each. that gives you

1/6 × 1/6

which solves for your answer of

1/36

A college raises its tuition in each of three consecutive years. If the percent increase by 5%, 9%, and 7%, determine the overall percent increase at the end of the three-year period?

Answers

The overall increment at the end of the three-year period is 22.5%

The increments are given as:

$\mathbf{Year\ 1 =5\%}$

$\mathbf{Year\ 2 =9\%}$

$\mathbf{Year\ 3 =7\%}$

So, the overall increment is calculated as:

$\mathbf{Overall = (1 + Year\ 1) * (1 + Year\ 2) * (1 + Year\ 3) -100\%}$

Substitute known values

$\mathbf{Overall = (1 + 5\%) * (1 + 9\%) * (1 + 7\%) -100\%}$

Express as decimals

$\mathbf{Overall = (1 + 0.05) * (1 + 0.09) * (1 + 0.07) -100\%}$

$\mathbf{Overall = (1.05) * (1.09) * (1.07) -100\%}$

Multiply

$\mathbf{Overall = 1.224615 -100\%}$

Express as percentage

$\mathbf{Overall = 122.4615\% -100\%}$

Subtract

$\mathbf{Overall = 22.4615\%}$

Approximate

$\mathbf{Overall = 22.5\%}$

Hence, the overall increment is 22.5%

Read more about percentage change at:

brainly.com/question/11639405

The overall percentage increase is 22.5%.

step-by-step explanation

Percentage increase in the first year=5%

Percentage increase in the second year=9%

Percentage increase in the third year=7%

we have to calculate the overall percentage increase

Let the initial tuition fees be x

tuition fees after three years=

= $x* (100+a)/(100) *(100+b)/(100)* (100+c)/(100) \n=x* (105)/(100) *(109)/(100) *(107)/(100) \n\n=x* (1224615)/(1000000) \n=x*(122.4625)/(100) \n=x*(100+22.4625)/(100)$

The overall percentage increase is 22.5%.

you can drive 512 miles on a tank of gas if you have a 16 gallon tank how many miles can you drive on one gallon of gas

Answers

512 miles/ 16 gallons= 32 miles per gallon, so you can drive 32 miles

What is 1/8 x 3/8 and how do you do the problem??????

Answers

The solution of expression 1/8 x 3/8 is,

⇒ 3 / 64

We have to given that,

An expression is,

⇒ 1/8 x 3/8

Now, We can simplify it as,

⇒ 1/8 x 3/8

Multiplying numerator and denominator of fraction with numerator and denominator of another fraction ,

⇒ 3 / 64

Therefore, The solution of expression 1/8 x 3/8 is,

⇒ 3 / 64

Learn more about the multiplication visit:

brainly.com/question/10873737

#SPJ6

Just multiply across, so numerator times numerator and denominator times denominator.

1 x 3 = 3
8 x 8 = 64

We get 3/64.

Answer the question. 20 points
-4/13 + 5/26

Answers

Answer:

Step-by-step explanation:

(-4/13)+(5/26)

So,now take the common denominator by taking least common multiple (LCM)..

LCM=26

= {(-4/13)x26} + {(5/26)x26}

= (-8+5)/26

= -3/26

Answer:

erm

Step-by-step explanation:

-3/26

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