MATHEMATICS MIDDLE SCHOOL

Which story problems could be solved using the given equation?1\4 x 3\5

Choose exactly two answers that are correct.

A.
There is 3\5 of a box of dog treats in the cupboard. Jill’s dog eats1\4 of a box of treats in a week. How many weeks of treats are left in the box for Jill’s dog?

B.
In Sophie’s doll collection,3\5 of the dolls are in their original boxes. Sophie plans to donate 1\4 of the dolls in these boxes to charity. How much of her doll collection will Sophie donate to charity?

C.
Shawn made a poster that has a width of 1\4 meter and a length of 3\5 meter. What is the area, in square meters, of Shawn’s poster?

D.
Christie hiked 1\4 mile on the trail. Jackie hiked 3\5 mile farther than Christie. How far, in miles, did Jackie hike on the trail?

Answers

Answer 1

Answer:

Answer: Option 'C' and 'B' are correct.

Step-by-step explanation:

Since we have given that

$(1)/(4)* (3)/(5)$

In Option 'C' ,

Length of a poster is given by

$(1)/(4)$

Width of a poster is given by

$(3)/(5)$

So, Area of poster is given by

$Length* breadth\n\n=(1)/(4)* (3)/(5)$

In option 'B', part of dolls are within the original box is given by

$(3)/(5)$

Part of dolls who has charity is given by

$(1)/(4)$

Total dolls she donate is given by

$(1)/(4)* (3)/(5)$

On the other hand, In option 'A' has "Division operation" and option 'D' has "Subtraction operation".

Hence, Option 'C' and 'B' are correct.

Answer 2

Answer: Which story problem could be solve using the given equations.
B & C.

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a path across a park is represented by the equation y=-2x+5. A new path will be built perpendicular to this path. the two paths cross at (-2,9). I identify the equation that represents the new path.

Answers

Answer:

y = ½x + 10

Step-by-step explanation:

Perpendicular lines have OPPOSITE MULTIPLICATIVE INVERSE RateofChanges[Slopes], so you need to have a slope of ½, like in the work shown below:

9 = ½[-2] + b

-1

10 = b

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Write a system of linear inequalities to represent each graph.

Answers

#1
y=1/1 x (+0)
y=6

#2
y=1/1 x +2
and
y= 1/1 x -3

#3
y= 2/1 x -4
y=3/1 x (+0)

#4
y=1/2 x +2
y=1/3 x -1

#5
y=3/4 x -5
x=0

Was the answer correct?

Sylvia earns $7 per hour at her afterschool job. One week she worked several hours and received a paycheck for $91.Solve an equation to find the number of hours in which Sylvia would earn $91?

Answers

7x=91 . divide 7 on both sides making the answer 13 bc 91/7 is 13

Simplify: (8^2/3)^4

Answers

So, $(8^(2/3))^4$ simplifies to 16, it can be solved according to the process of simplification process

To simplify the expression (8^(2/3))^4, we follow the order of operations, which is to evaluate the exponent inside the parentheses first, and then raise the result to the power of 4.

Step 1: Evaluate the exponent inside the parentheses.

$(8^(2/3))$ means taking the cube root of 8 raised to the power of 2. The cube root of 8 is 2, so we have:

$(8^(2/3))$ = 2

Step 2: Raise the result to the power of 4.

Now, we have:

$(2)^4$ = 2 * 2 * 2 * 2 = 16

So, $(8^(2/3))^4$ simplifies to 16.

To know more about simplify here

brainly.com/question/28595186

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Answer:

Step-by-step explanation:

hello :

(8^2/3)^4 = ∛(8²) = ∛(4^3) = 4 because : 8² = 4^3 =64

Explain how you know that 7/12 is greater than 1/3 but less than 2/3?

Answers

The easiest way to compare fractions is by having a common denominator for both fractions.

This is because, when the denominator is the same in both fractions, we will simply compare the numerators and the greater fraction will be the one having greater numerator

Part 1:

The first given fraction is $(7)/(12)$