MATHEMATICS MIDDLE SCHOOL

Solve the system of equations by graphing on your own paper. What is the x-coordinate of the solution? y = x + 7
y = -2x - 11

Answers

Answer 1
Answer: y = x + 7 
y = -2x - 11

x + 7 = -2x - 11
3x + 7 = -11
3x = -18
x = -6

The x-coordinate of the solution is -6.

I have attached a graph of the two equations since the question really wanted you to graph it and then find the answer.

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a box of 10 markers weighs 105 grams. if the empty box weights 15 grams, how much does each marker weigh?

Answers

first, ,how much do all the markers weight? the box with the markers weights 105, so without the box all the markers weigh 105-15=90 grams.


so 90 grams is the weight of 10 markers together, and each of them will weigh one tenth of this: 90/10=9

so each marker weights 9 grams.

Final answer:

The weight of each marker can be found by first subtracting the weight of the empty box from the total weight to get the weight of all markers, then dividing by the number of markers. Each marker weighs 9 grams.

Explanation:

Firstly, we can find the total weight of the markers by subtracting the weight of the empty box from the total weight of the box with the markers. Doing this calculation (105 grams - 15 grams) gives us the total weight of the markers, which is 90 grams. As there are 10 markers, we can find the weight of each marker by dividing the total weight of the markers by the number of markers. This calculation (90 grams / 10) results in each marker weighing 9 grams.

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It cost $520 to plant 4 acres of corn. How much would it cost to plant 3/5 acre of corn?

Answers

Importance should be given to all the informations that are already given in the question. based on those information's, the answer to the question can be easily determined.
The cost of planting 4 acres of corn = 520 dollars
Then
the cost of planting 1 acre of corn = (520/4) dollars
                                                       = 130 dollars
So
The cost of planting 3/5 acres of corn = (3/5) * 130 dollars
                                                             = 3 * 26 dollars
                                                             = 78 dollars
So the cost of planting 3/5 acre of corn is $78. I hope the procedure is clear enough for you to understand. You can always use this method in future for solving similar type of problems without requiring any help from outside.
$455
 520 / 4 = 130 / 2 = 65 

130 x 3 = 390 + 65 = 455

What fractions are equivalent to 4/7

Answers

Some of the fractions that are equivalent to 4/7 are 8/14, 12/21, 16/28, 20/35 e.t.c

What is equivalent expression?

Equivalentexpressions are expressions that work the same even though they look different.

If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

For example , 5 × 4 = 20 and 2 × 10 = 20 , so the two expressions are equivalent and they have thesame value

To find the equivalent of 4/7, we can multiply through by a factor of 2, 3 , 4 ,5 e.t.c

Therefore 4/7 = 8/14 = 12/21 = 16/28 = 20/35

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8/14 12/21 16/28 these are some of the fractions that came to mind

You estimate that there are 66 cars in a parking lot. The actual number of cars is 75.

Answers

If you are asking how to estimate it would be right.

To find the product 3/7 x 4/9, Cameron found the GCF of 3 and 9. He then multiplied the fractions 1/7 and 4/9 to find the product 4/63. What was Cameron's error?

Answers

He didn't do what he did to 3/7 on 4/9. Hope this helps!

bag of potatoes weighs 5 pounds the bag is placed on a scale the unit on the scale is ounces what weight does the scale show

Answers

1 pound = 16 ounces
5 x 16 = 80
80 ounces
1 pound = 16 ounce
so
5×16=80
so it is 80 ounce
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