MATHEMATICS MIDDLE SCHOOL

Raoul estimated the difference of 97.23 and 8.3 by rounding each number to the nearest whole.What was Raoul's estimate, and what is the actual difference of the numbers?

Enter your answers in the boxes.

Answers

Answer 1

Answer:

Answer:

97.23 = 97 and 8.3 = 8 = 105 -> estimate

vs.

97.23 + 8.3 = 105.53 - > real.. close

Step-by-step explanation:

Answer 2

Answer:

Answer:

estimate:105

real answer:105.53

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5x + 3(x-5) = 6x + 2x -15 solve the equation and write the number of solutions. Name one property you used to solve this equation.

Answers

Answer:

infinite number

Step-by-step explanation:

Carry out the multiplication indicated here:

5x + 3(x-5) = 6x + 2x -15 => 5x + 3x - 15 = 6x + 2x -15

Now combine the x terms: We get 8x - 15 = 8x - 15, or -15 = -15.

This last result is always true, so this equation has an infinite number of solutions.

The number of solutions is infinitive, meaning that you could use any number. And a property that you used to solve this problem was distributive property. In order to distribute 3 over (x-5)

the length of your garden must exceed the width of the garden by 3 feet. you only have 58 feet of fencing to go around the perimeter. if you use all the fencing, what will be the dimensions of your garden?

Answers

First let us represent
x-width
x+3-length

Since it has a width and length, we can say it is a rectangle so the formula for the perimeter of it is 2(l+w)

p=2(l+w)
58=2(x+3+x)
58=(2x+3)2
58=4x+6
52=4x
x=13

the width is 13 and the length is 16

Solve

4(3x-1)=2(x+3)

Answers

4(3x-1)=2(x+3)

12x-4=2x+6

12x-2x=6+4

10x=10

x=10/10

Therefore:

x=1

The first step is to distribute. So after you do that you should have
12x-4=2x+6
Then Isolate your variable by moving the numbers over (remember when they move the change from positive to negative or vise versa) Your equation should now be 10x=10
Once your variable is Isolated simply divide. Then you can plug in your answer to check. Your answer should be x=1

Number 11 has me a little confused please help

Answers

(9,-2) the 9 is your x and the -2 is your y. Plug those into the equation to make it into 1/3(9)-2(-2)=7 then solve.

Will a 2 quart pitcher hold the entire recipe of citrus punch Givin at the right explain your reasoning

Answers

A 2 quart pitcher can not hold the entire recipe of citrus punch because it is too much to fit, it will overflow.

Final answer:

Whether a 2 quart pitcher can hold an entire citrus punch recipe depends on the volume of the punch recipe. If the volume of the punch is less than or equal to 2 quarts, then yes, otherwise, no.

Explanation:

To answer your question about whether a 2 quart pitcher can hold the entire recipe for citrus punch, we first need to know the volume of the punch recipe. Suppose the punch recipe yields 1.5 quarts, then yes, your 2 quart pitcher will hold the entire recipe because 1.5 quarts is less than the pitcher's volume of 2 quarts. If the punch recipe yields more than 2 quarts, like 3 quarts, then no, your pitcher won't be able to hold the entire recipe output because it's volume is less than the punch's volume.