MATHEMATICS MIDDLE SCHOOL

If a 35 ft rope is cut into two sections with one section 6 times as long as the other section, how long is the shorter piece?

Answers

Answer 1
Answer:

Answer: 5 feet

Step-by-step explanation:

Given: The total length of the rope = 35 feet

Let the length of the shorter section be x, then the longer section would be 6x.

According to the question, we have

x+6x=35\n\n\Rightarrow7x=35\n\n\Rightarrow x=(35)/(7)\n\n\Rightarrow x=5\ feet

Also, 6x= 6(5)=30\ feet

Hence, the  length of the shorter section = 5 feet
Answer 2
Answer: x is the first section soit the second is 6x
and x + 6x = 7x = 35 ft => x = 5 ft

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The Miller's house is 25 yards from Mrs. Shapiro's house. How many feet apart are the two houses?

Answers

Answer:  The Miller's house is 75 feet from Mrs. Shapiro's house.

Step-by-step explanation:

We are given that the Miller's house is 25 yards from Mrs. Shapiro's house.

We know that \text{one yard = 3 feet}

Now, \text{ 25 yards}=25*3\text{ feet}

\n\n\Rightarrow\text{25 yards}=75\text{ feet}

Hence, both the houses are 75 feet apart.

Therefore, the Miller's house is 75 feet from Mrs. Shapiro's house.
75 feet because 1 yard equals 3 feet

Ricky is filling an 8 inch by 4 1/2 inch rectangular box with packing peanuts. The peanuts are cubes that come in two different sizes ,1 cubic inch and 1/8 inch .How many peanuts of each size are needed to fill the box?

Answers

Ok, so we can fill the part of the box that corresponds to the 8x4 inches with the boxes that are 1 cubic inch - that wound be 8x4, that is 32 such boxes.

then the rest would be 8x (1)/(2) inches, that is 4 cubic inches.

In order to fill in 4 cubic inches with  (1)/(8) inches boxes we calculate:

4/ (1)/(8)=4*8=32  So it's also 32 such small boxes!

Keira has 750 square inches of wrapping paper. Her package is in the shape of a right rectangular prism that is 15 inches long 12 inches wide and 8 inches high. Does she have enough paper to cover her package? Explain your reasoning. 2: Sam and alana both have prisms with Heights of 20 inches. Sam's base is a right triangle with legs that are 3 inches long and 4 inches long. Alana's base is a rectangle that is 3 inches by 4 inches. Which prism has the greater volume?

Answers

For Number 2, Alana has the prism with the greater volume.
Though they both share the same dimensions, height of 20, length and width of 3 and 4, do NOT forget that for a triangle, you have to divide the result by half, thus making Sam's triangle of less volume.

For Number 1, the answer is no. She only has 750 square inches of wrapping paper while the SA ( surface area/ area of the top of a prism ) comes to 792 inches.

Solve 3x2 - x = 10 I need help please!!

Answers

Answer:

3x^2 - x - 10 = 0

3x^2 - 6x + 5x - 10 = 0

3x(x - 2) + 5(x - 2) = 0

(3x + 5)(x - 2) = 0

x = -5/3 , 2

Step-by-step explanation:

mark me brainliest please

3x² - x = 10

3x² - x - 10 = 0

Δ = b² - 4.a.c

Δ = -1² - 4 . 3 . -10

Δ = 1 - 4. 3 . -10

Δ = 121

There are 2 real roots.

x = (-b +- √Δ)/2a

x' = (--1 + √121)/2.3    

x'' = (--1 - √121)/2.3

x' = 12 / 6    

x'' = -10 / 6

x' = 2    

x'' = -5/3

Plz help me with this

Answers

This question is not even trying to test your arithmetic.  It's just testing
to see whether you know how to read numbers in words properly.

When you read numbers in words, the only time you ever say "and"
is for a decimal point.  There are no decimals in this question, so the
"and" is not a part of any numbers.

The question gives you two numbers. The word "and" is the marker
that's BETWEEN them.  The two numbers are 1,300 and 950 .

The first thing the question wants you to do is write the numerical
expression for all the words.  That's    (1300 - 950) / 4 .

The next thing you're supposed to do is"evaluate the expression" ...
find out what number it all boils down to.  I don't think you'll have
any trouble with that now.

The cone shown has a diameter of 8 centimeters and a slant height of 5 centimeters. Which choice is closest to the total surface area? Use 3.14 to approximate pi.63 square centimeters


113 square centimeters


126 square centimeters


327 square centimeters

Answers

The formula for finding the surface area of a cone using the slant height is:
SA = pi * r * l + pi * r^2
where SA stands for surface area, r stands for radius, and l stands for slant height
Therefore, we can simply plug in all of the given values into the formula to get our answer.

The equation we would solve would be:

SA = 3.14*4*5+3.14*4^2

This gives us 113.04
The answer that is closest to this would be 113

Therefore, the answer is 113

Hope this helped!!C:D
the answer is 113 because the height and cenimeters are added and they are divided and it equals to 113
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