Mathematics Middle School

1/4X^2 - 3/4X^2 =0
Solve each equation. Factor and use the zero product property to solve. Show all work algebraically.

Answers

Answer 1
1/4x^2 - 3/4x^2 = 0

-1/2x^2 = 0

x * x = 0

x = 0

Related Questions

It took Yuik (1/6) of a hour to water get flowers and (4/6) of an hour to weed her garden. What fraction of an hour did Yuik work in her yard

Answers

Yuki worked in her yard for 5/6 of an hour (or 50 minutes). 1/6 + 4/6 = 5/6, because you don’t change the denominator.

The required fraction of an hour is 5/6 Yuik work in her yard.

What is the fraction?

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

It took Yuik (1/6) of an hour to water the flowers and (4/6) of an hour to weed her garden, so in total, she worked for (1/6) + (4/6) = 5/6 of an hour in her yard.

To add the two fractions, we need to have a common denominator, which is 6. Then we can add the numerators (1 + 4) to get 5.

⇒ 5/6

Thus, the final fraction is 5/6.

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Please try to answer as many as possible. Thanks
A gift box is in the shape of a triangular prism has a volume of 140 cubic inches, a vase height of 10 inches, and a height of 4 inches. What is the length of the base?

A special box designed to hold an antique artifact is shaped like a triangular prism. The surface area of the box is 421.2 square inches. The height of the base triangle is 7.8 inches and each side of the base triangle is 9 inches long. What is the height of the box?

Piper wants to buy enough potting soil to fill flower box that is 36 inches long, 8 inches wide, and 10 inches tall. If one bag of potting soil contains 576 cubic inches, how many bags should she buy?

Michael's pencil box is shaped like a rectangular prism. It is 30.5 centimeters long, 20.3 centimeters wide, and 10 centimeters tall. He estimates that the surface area of the box is about 2,200 square centimeters. Is his estimate reasonable? Explain your reasoning.

Answers

For the first one the answer is 2

Mrs Henley built a cage for her bird. She wanted to cover the bottom of the cage with newspaper. If the cage is 1/4 yard by 1/2 yard, what is the area that needs to be covered?

Answers

1/8 yard, I believe. I multiplied 1/4 by 1/2 to get 1/8 bc the formula for area is length×width.

The question says :Mrs Henley built a cage for her bird .

The bottom of the cage Mrs Henley build has to be covered by a newspaper.

To cover the bottom by newspaper we need to find the area of bottom.

The formula to find the area of bottom is length x width.

The dimensions of the bottom is given as [tex] \frac{1}{4} and \frac{1}{2} yard. [/tex]

Area of bottom = [tex] \frac{1}{4} times \frac{1}{2} = \frac{1}{8} [/tex]

Answer: The area that needs to be covered is [tex] \frac{1}{8} [/tex] square yards.

Write the expression “the sum of seven times a number and five, divided by the sum of negative two times the number and eleven” using algebra. Choose the correct phrase below.

Answers

let the number be x

The expression will be:
(7x + 5) ÷ (-2x + 11)


The correct phrase below which you have not included is (7x +5 )/(-2x+11).

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b, will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

The ratio is the division and the ratio can be bigger than the amount which is put on the ratio or the ratio could be smaller than the amount which is put on the ratio. It depends upon whether the numerator is big or small than the denomintor.

Given the condition in the question let's suppose the number is x then

seven-time is 7x and 5 means 7x + 5.

Similarly -2 times means -2x and 11 means -2x + 11 hence  (7x +5 )/(-2x+11) will be correct answer.

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Label the percent bar below with the appropriate estimations.

Answers

What are the estimations?

Answer:

it was 25%

Step-by-step explanation:

Find the lateral area for the cylinder with the given measurement. r = 4, h = 5 20 square units 40 square units 80 square units

Answers

[tex]\bf \textit{lateral area of a cylinder}\\\\ LA=2\pi rh\quad \begin{cases} r=radius\\ h=height\\ -----\\ r=4\\ h=5 \end{cases}\implies LA=2\pi (4)(5)\implies LA=40\pi [/tex]

Answer:  40π square units

Step-by-step explanation:  since, lateral area of cylinder=2πrh

   where r=radius=4 and h=height=5

    ⇒   lateral area= 2π×4×5

                               = 40π square units

what does x equal? Plus can u pls explain cuz I have a test friday

Answers

7x and x+20 lie on the straight line so they will equal to 180. So now we can add them and set them equal to 180 so we can solve for x.

7x + x + 20 = 180
8x + 20 = 180
8x = 160
x = 20.

So the value of x is 20

Hope I helped :) 

Helpppppp!!!!!!!!!!!!!!!

Answers

your answer is D. Hope this helps!


A line has a slope of 2/3 and contains the points (x, 9) and (3, 7). The value of x is

0
3
6

Answers

(6,9) It would help to draw a graph then plot (3,7) and then from that point go up 2 and to the right 3 and then you get your answer. Hope this helps.
x= 6

Answer:

6

Step-by-step explanation:

You can see the answer above and I also did the lesson submitted it and got it right.

Justin jogs 1 and 3/4 miles from his house. He then jogs 3 and 3/5 miles farther. How many miles has he jogged in all?

Answers

Justin jogs 1 and 3/4 miles from his house. He then jogs 3 and 3/5 miles farther. How many miles has he jogged in all?

Justin jogs
1 3/4 +3 3/5

than i will let you get the operation by your self to make sure that you understand
I converted the mixed fractions to improper
Then Add them up:
7/4+18/5
Take out the LCM of the denominator
= 35/20+72/20
= 107/20

Which is longer 2 kilometers or 2 meters

Answers

2 kilos is 1000 times more
2 kilometrers is longer than 2 meters

So sorry, I just don’t understand this Please I’m almost done.

Answers

It is worked exactly the same way your other problem was worked.
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Atrap = (1/2)*(9+5)*5 = 35
Arect = 5*(9 +5 +5 +6.4) = 127
Atot = 127 +2*35 = 197 . . . . in^2

Suppose g(x)=f(2x) when f(x)=x^2-4x-5. Find the standard expression for g(x).
Please show steps.

Answers

we have that

f(x)=x²-4x-5      g(x)=f(2x)

step 1
find --------> f(2x)
that means that the variable is now going to be 2x instead of x
so
f(2x)=(2x)²-4(2x)-5------------> 4x²-8x-5

therefore

f(2x)=4x²-8x-5
and
g(x)=4x²-8x-5

the answer is 
g(x)=4x²-8x-5


is (8,3) solution to 3x-4y>12

Answers

What you would do to figure this out is plug in x and y.

3(8)-4(3)>12

24-12>12

12>12

12 cannot be greater than twelve because they’re equal so it’s not.

Have a good day!

How do you do the midpoint with the same point

Answers

you can but It would just be the same point

The measure of an exterior angle of a regular polygon is 15 degrees. What is the sum of the measures of the interior angles of the polygon

Answers

the measurement of all interior angles of any polygon is 360 degrees

It is 360 degrees!

You can see because it is math and yeah..

What is the value of X in the figure

Answers

Well since the 22 has already been taken out of the right angle which equals 90 degrees.Just subtract 22 from 90 and you will get 68 as the value of x!!!!!!

Hope this helped
-wakanda forever

Can the sides of a triangle have lengths 6.2, 0.5, and 7.8?
yes or no

Answers

No, it's not possible for the sides of a triangle to have those lengths.

According to the triangle inequality theorem, the sum of any two sides of the triangle has to be bigger than the last side. Let's test this.

[tex]6.2+7.8\ \textgreater \ 0.5[/tex]

This inequality satisfies the triangle inequality theorem.

[tex]7.8+0.5\ \textgreater \ 6.2[/tex]

This also satisfies the theorem.

[tex]6.2+0.5 \textless \ 7.8[/tex]

Uh oh. This does not satisfy the triangle inequality theorem. Thus, it is not possible for a triangle to have these side lengths.

Ernie saved $650 in twenty six weeks. He saved the same amount each week. How much did he save each week?

Answers

650/26=25
650 divided by 26 weeks is

$25 per Week
Hello!

Divide the total amount of money Ernie saved ($650) by the number of weeks it took him to save up (26):

650 ÷ 26 = 25

ANSWER:

Ernie saved $25 each week.

what property is 6x + (9+3x) in? A. Distributive B. Combine like terms C. Associative property of addition D. Commutative property of addition

Answers

Hello there!


The correct answer is option B

6x + (9 + 3x)

Combine like terms

6x + 9 + 3x

9x + 9


I hope this helps!

The expression can be simplified using the distributive property, but it is not in its simplest form, Option A is correct.

What is Expression?

An expression is combination of variables, numbers and operators.

The expression 6x + (9+3x) is in the distributive property.

To see why, we can apply the distributive property of multiplication over addition, which states that a(b + c) = ab + ac. In this case, we have:

6x + (9+3x) = 6x + 9 + 3x

Here, the expression 6x is being distributed over the parentheses, which contain 9 and 3x. We can combine the constants 6x and 9, as well as the like terms 6x and 3x, using the commutative and associative properties of addition:

6x + 9 + 3x

= 6x + 3x + 9

= (6x + 3x) + 9

= 9x + 9

So, the expression can be simplified using the distributive property, but it is not in its simplest form.

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in your sock drawer, you have 20 socks. You have two pairs of patterned socks, 4 pairs of gym socks, three pairs of striped socks, and one pair of black socks. What is the probability that you randomly pull a gym sock from the drawer? What are the odds?

Answers

the probability of getting a gym sock is 1/5

You plan to paint the outside of this garage, including the roof. Which calculation will help you best decide how much paint you will need? (Omit the floor of the garage in your calculation.) Add the areas of 9 rectangles and 2 triangles. Add the areas of 6 rectangles and 2 triangles. Add the volumes of 1 rectangular prism and 1 triangular prism. Add the perimeters of 4 rectangles and 2 triangles.

Answers

The four walls will be four rectangles.
The roof will be two rectangles.
The ends holding up the roof will be two triangles.

The 2nd selection is appropriate (areas of 6 rectangles + 2 triangles).

_____
Yes, you're trying to find the volume of paint, but paint is sold in terms of the number of square feet (area) it covers. Rarely do we concern ourselves with computing paint volume from the thickness of the film covering the area. Certainly, the volume of paint is substantially less than the volume of the walls or the entire garage.

Answer:

add the areas of 6 rectangles and 2 triangles

Step-by-step explanation:

5 Points, Time Limit, Brainliest, Please don't spam, Thanks!

The table shows the number of skirts of different colors in a closet. A fair coin is shown below the table.
Color of Skirt Number
Yellow 5
Blue 8
Green 4
Pink 3
A coin Maria selects a skirt from the closet randomly without looking and then tosses the fair coin. What is the probability that she will select a yellow skirt and that the coin will land tails up?
1 over 20
1 over 10
1 over 8
1 over 5

Answers

The awnser is 1/8
There are 20 different and 5 of them are yellow. 1/4 of them are yellow
1/2 chance of the coin have tails up
1/4 × 1/2 = 1/8
hope it helps

Answer: [tex]\dfrac{1}{10}[/tex]

Step-by-step explanation:

Given :  Number of yellow Skirt Number =5

Total skirt = [tex]5+8+4+3=20[/tex]

The probability that she will select a yellow skirt will be :_

[tex]\dfrac{5}{20}=\dfrac{1}{5}[/tex]

Total faces in coin=2

Number of tails = 1

The probability that the coin will land tails up :-

[tex]\dfrac{1}{2}[/tex]

Since ,both events are independent , then the probability that she will select a yellow skirt and that the coin will land tails up is  given by :-

[tex]\dfrac{1}{5}\dfrac{1}{2}=\dfrac{1}{10}[/tex]

PLZZZZZZZZZHELP HURRY!!! What is the difference (2x-3) - (x- 1)

x-4
x-2
x+2
x+4

Answers

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

The answer is x-2.
So, first subtract 2x by x to both sides. Now you have x - 3 - 1 add 3 to both sides. and now you have x + 2 

I would be much appreciated if somebody took time out of their day to answer this for me.

Answers

Problem 4
You have to assume something or it is unsolvable.
We will assume that the triangle is divided into 2 smaller right triangles. They will be subject to a^2 + b^2 = c^2
a = 32/2 = 16
b = h
c = 20
20^2 = 16^2 + h^2
400 = 256 + h^2 Subtract 256
400 - 256 = h^2
144 = h^2
h = sqrt(144)
h = 12

Now we can find the area.
h = 12
base = b = 32

Area = 1/2 * b * h
Area = 1/2 * 32 * 12
Area = 192 square inches.

Problem 5
Same assumption. Same method.
a^2 + b^2 = c^2
c = 25
b = 7
h = ???
h^2 + 7^2 = 25^2
h^2 + 49 = 625
h^2 = 625 - 49
h^2  = 576
h = sqrt(576) 
h = 24

Area = 1/2 Base * h
base = 2*7
base = b = 14

Area = 1/2 * 14 * 24
Area = 168 <<<< answer.


Find the surface area of each triangular prism

Answers

If a and b represent the height and base of the triangular face, and h represents the length of its hypotenuse, and w represents the width or thickness of the prism, the surface area (A) is
.. A = ab +w*(a +b+ h)

Of course the area of each triangle is (1/2)ab, but there are two of them, so their total area is ab.

Put in the numbers and do the arithmetic. If you have a lot of them all specified in this way, a spreadsheet can make short work of it.

A = 5*12 +4*(5 +12 +13) = 160 . . . square inches

0.5 as a repeating decimal to a fraction
show your work

also 0.7 as a repeating decimal to a fraction
show your work

Answers

those are just repeating equivalent decimals
Final answer:

The decimal 0.5 converts to the fraction 1/2 and the decimal 0.7 converts to the fraction 7/10.

Explanation:

To convert the decimal 0.5 and 0.7 into fractions, we use the definition of a decimal. A decimal is a representation of a fraction in terms where we have a power of 10 in the denominator. For instance:

To convert 0.5 into a fraction, we can think of it as 0.5/1 which equals to 5/10 or simplifies to 1/2. Converting 0.7 into a fraction, would give us 0.7/1 which is equal to 7/10.

So, 0.5 as a decimal is 1/2 as a fraction and 0.7 as a decimal is 7/10 as a fraction.

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Which of the following is equivalent to √20

A. 4
B. 5√2
C. 2√5
D. 20

Answers

Answer is 4 because it can be multiplied by 5

Kelly is making ice cream cones for her 6 friends. 1/3 of her friends asked for sprinkles on their ice cream. How many ice cream cones should kelly make with sprinkles

Answers

Hi there!

To solve this problem, we just need to multiply 6 by 1/3.

6 × 1/3 = 6/3

Now, we simplify.

6/3 = 2

Hope this helps!

The back-to-back stem-and-leaf plot below shows the ages of patients seen by two doctors in a family clinic in one day. Compare the ages of the patients of doctor 1 and doctor 2 using the mean and the median of each data set. Doctor 1 Doctor 2 | 3 | 5 9 2 0 | 2 | 0 0 2 3 6 8 7 5 | 1 | 3 7 9 7 3 2 1 1| 0 | 2 2 3 9 Key: means 29 9|2|3 means 23
I don't quite know how to do this, so if someone could guide me through it that would be nice..!

Answers

The mean of the ages of Doctor 1's patients is 13.54 and the median is 15. The mean of the ages of Doctor 2's patients is 16 and the median is 19.

Explanation:
The mean is found by adding together all of the data points and then dividing by the number of data points. For Doctor 1, (32+20+22+29+15+17+18+1+1+2+3+7+9)/13 = 176/13 = 13.54.

For Doctor 2, (35+20+20+22+23+26+13+17+2+2+3+9)/12 = 192/12 = 16.

The median is the middle number in the data set after it has been ordered from least to greatest. The stem-and-leaf plot organizes it, so we find the middle value.

For Doctor 1, 15 is in the middle.

For Doctor 2, the middle is between 26 and 13: (26+13)/2 = 39/2 = 19.5

Answer:

The mean of the ages of Doctor 1's patients is 13.54 and the median is 15. The mean of the ages of Doctor 2's patients is 16 and the median is 19.

Step-by-step explanation:

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