A school dedicated 50% of the courtyard area for students to start a garden. The students
want to know how much of the 632-square-foot space they will be able to use.
Which expression shows a way to find 50% of 632?
.632
2
.632

Answer:

2.331 = (2.33 × 100)(1 × 100) = 233100. As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 233100 is also equal to 233100 when expressed as a mixed number.

Step-by-step explanation:

or mutilpy by 100

Answer:

2.33 * 100 because

2.33*100=233

It would be A or < since 54 is positive and -26 isn't, that makes 54 greater than -26.

Answer: 1/16

Do Keep Change Flip (KCF)

Keep: 1/2

Change: ÷ into ×

Flip: 8/1 into 1/8

Your New Problem Should Be: 1/2×1/8

Multiply

1/2 × 1/8 = 1/16

The amount of pasta each would get is 1/16

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

Do Keep Change Flip (KCF)

Keep: 1/2

Change: ÷ into ×

Flip:

8/1 into 1/8

= 1/2×1/8

Multiply,

1/2 × 1/8 = 1/16

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Answer:

x = 5 (pleaaaaaase give branliest)

Step-by-step explanation:

An equilateral triangle is a triangle that has all congruent sides

This means that 30 = 4x + 10

30 - 10 = 4x

20 = 4x

20/4 = x

x = 5

Hope this helps

Answer:

x=5

Step-by-step explanation:

All sides are equal length because it is an equilateral triangle.

30 = 4x+10

Subtract 10 from each side

30-10= 4x+10-10

20 =4x

Divide each side by 4

20/4 = 4x/4

5 =x

Answers and Step-by-step explanations:

We need to use FOIL (first, outer, inner, last) to solve this.

The first terms of each of the two expressions (2x - 1) and (2x + 6) are 2x and 2x. Multiply these together: 2x * 2x = 4x².

The outer terms are 2x and 6, respectively, and their product is 2x * 6 = 12x.

The inner terms are -1 and 2x, respectively, and their product is -1 * 2x = -2x.

The last terms are -1 and 6, respectively, and their product is -1 * 6 = -6.

Add these together:

4x² + 12x + (-2x) + (-6) = 4x² + 10x - 6

Let's see if this is equal to (1x - 2) * (6 + 2x) by expanding this one using FOIL as well:

The first terms are 1x and 6, respectively, and their product is 1x * 6 = 6x.

The outer terms are 1x and 2x, respectively, and their product is 1x * 2x = 2x².

The inner terms are -2 and 6, respectively, and their product is -2 * 6 = -12.

The last terms are -2 and 2x, respectively, and their product is -2 * 2x = -4x.

Add all these up:

6x + 2x² + (-12) + (-4x) = 2x² + 2x - 12

Clearly, 2x² + 2x - 12 is NOT the same as 4x² + 10x - 6, so (2x - 1)(2x + 6) is not equal to (x - 2)(6 + 2x).

Hope this helps!

Answer:

4x² + 10x - 6

Not equal

Step-by-step explanation:

(2x - 1)(2x + 6)

4x² - 2x + 12x - 6

4x² + 10x - 6

(1x - 2)(6 + 2x)

6x - 12 + 2x² - 4x

2x² + 2x - 12

Not equal

Answer:

45/4 or    11.25   or   11 1/4

Step-by-step explanation:

Answer:

Step-by-step explanation:-15/4

-15/4

Answer:

144 yards

Step-by-step explanation:

Multiply 12 yd by 12 yd =

144 yards

Answer: The answer is 144yd squared

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

mean = 20 + 30 + 39 + 44 + 52 /5

mean = 185 ÷ 5

mean = 37

52 - 37 = 15

The mean of the data set is 37. The number 52 deviates from the mean by 15. Key concepts include mean, deviation, and data set.

The first step in answering the question 'How much does 52 deviate from the mean?' is to calculate the mean (also called the average) of the data set. We do this by adding together each of the numbers in the data set and then dividing by the number of elements. The calculation looks like this: (20 + 30 + 39 + 44 + 52) / 5 = 37. Then, to determine how much 52 deviates from the mean, subtract the mean from 52. This gives us: 52 - 37 = 15. So, 52 deviates from the mean by 15. Mean, deviation, and data set are key mathematical concepts related to this question and answer.

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In triangle EFG, the right angle is at F. Using the Pythagorean theorem, we can find the length of the hypotenuse and use it to calculate the trigonometric ratios.

In triangle EFG, the right angle is at F. Given that EG = 8 and FG = 2, we can use the Pythagorean theorem to find the length of EF. Using the formula a^2 + b^2 = c^2, where a and b are the lengths of the legs and c is the length of the hypotenuse, we can calculate that EF = sqrt((EG^2) + (FG^2)) = sqrt((8^2) + (2^2)) = sqrt(64 + 4) = sqrt(68).

To find tan E, we can use the ratio of the opposite side (FG) to the adjacent side (EG). tan E = FG/EG = 2/8 = 1/4.

To find sin G, we can use the ratio of the opposite side (FG) to the hypotenuse (EF). sin G = FG/EF = 2/sqrt(68).

To find sec G, we can use the ratio of the hypotenuse (EF) to the adjacent side (EG). sec G = EF/EG = sqrt(68)/8.

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Answer:

Step 1:  Find the x

2x + 5:  Solve

[tex]2x + 5 - 5 = 0 - 5[/tex]

[tex]2x / 2 = -5 / 2[/tex]

[tex]x = -5/2[/tex]

3x + 15:  Solve

[tex]3x + 15 - 15 = 0 - 15[/tex]

[tex]3x / 3 = -15 / 3[/tex]

[tex]x = -5[/tex]

Answer:

the graph that's got long lines in the top right and bottom left

Answer:

y = (-¼)x + 1

Step-by-step explanation:

y = 4x + 1

Slope of the perpedicular:

m = -¼

Equation:

y = (-¼)x + 1

4y = -x + 4

We have been given that the painting is 3 times as long as it is tall.The expression [tex]2(x+3x)[/tex] represents the perimeter of the painting, where x represents the length of the short side of the painting in feet.

To find the the amount of framing needed when short side of the painting measures 2.6 feet, we will substitute [tex]x=2.6[/tex] in our given expression.

We can simplify our expression as:

[tex]2(x+3x)=2(4x)[/tex]

[tex]2(4x)=2(4\times 2.6)[/tex]

[tex]2(4x)=2(10.4)[/tex]

[tex]2(4x)=20.8[/tex]

Therefore, a total of 20.8 feet of framing is needed.

By using the given expression 2(x+3x) and substituting the short side measurement of 2.6 feet, we find that the total framing needed is 20.8 feet for the large rectangle painting.

To calculate the total framing needed for the painting, we start by using the expression 2(x+3x), which represents the perimeter of the painting. Given that the short side (x) of the painting measures 2.6 feet, we substitute x with 2.6 feet in the expression, resulting in 2(2.6 feet + 3(2.6 feet)), which simplifies to 2(2.6 feet + 7.8 feet). This gives us 2(10.4 feet), equaling 20.8 feet of framing that is needed.

The dimensions of the painting are based on the fact that the painting is three times as long as it is tall.

The short side is the height of the painting, and the long side, therefore, is 3 times the short side. Since the painting is a rectangle, we apply the formula for the perimeter of a rectangle, which is P = 2(length + width), to get the overall framing length.

Answer:

Step-by-step explanation:

It will be 6855 because it’s telling you the difference of them so you subtract to see

The difference in meters between the highest and lowest elevation points 7065 meters.

Integers include all whole numbers and negative numbers. This means if we include negative numbers along with whole numbers, we form a set of integers.

An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero. A few examples of integers are: -5, 0, 1, 5, 8, 97, and 3,043. A set of integers, which is represented as Z, includes:

Positive Numbers: A number is positive if it is greater than zero. Example: 1, 2, 3 . . .

Negative Numbers: A number is negative if it is less than zero. Example: -1, -2, -3 . . .

Zero is defined as neither a negative number nor a positive number. It is a whole number.

Z = {... -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, ...}

Given:

highest point= 6960 meters above sea level.

lowest point = 105 meters below sea level.

Considering integers

highest points= +6960

lowest point= -105

So, difference in meters between the highest and lowest elevation points

= 6960 - (-105)

=6960+ 105

= 7065 meters

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1.Total cost of the computer: Let's represent the original price as $x. After an 80% sale, it's 0.8× x.

2. Amount Leona saved: $102.50.

3. Remaining amount needed: Total cost - Amount saved = 0.8 × x - $102.50.

So, Leona needs $102.50 more to afford the computer after her savings.

let's break it down step by step:

1. Find the total cost of the computer: Let's say the original price of the computer is $x, and it's currently on sale. Since Leona saved $102.50, this means the amount she has saved is a part of the total cost of the computer.

2.Calculate the remaining amount needed: We subtract the amount Leona saved from the total cost of the computer to find out how much more money she needs to save.

So, let's go through these steps:

1. Total cost of the computer: Let's represent the original price of the computer as $x. Since the computer is on sale, let's say it's now priced at 80% of its original price.

  So, the total cost of the computer after the sale = 0.8 ×x.

2. Amount Leona saved = $102.50.

3. Remaining amount needed = Total cost of the computer - Amount Leona saved.

Let's perform the calculation

Total cost of the computer = 0.8 × x

Amount Leona saved = $102.50

Remaining amount needed = Total cost of the computer - Amount Leona          = 0.8 × x - $102.50

So, Leona needs to save $102.50 more to buy the computer.

Answer: 10

Step-by-step explanation:

Answer: the answer is 10

Answer:

Segments parallel to XT: YU, ZV, WS

Segments parallel to ZY: VU, WX

Segments parallel to ZS: None

Plane parallel to plane STU: WXY

Plane parallel to plane UVZ: TSW

All segments skew to SW: WX, ST

All segments skew to UT: UY, TX

Step-by-step explanation:

Let's begin by explaining the following:

Two line segments are parallel only if their slopes are identical, allowing them to never intersect.

Hence, according to this definition we have:

Segments parallel to XT: YU, ZV, WS

Segments parallel to ZY: VU, WX

Segments parallel to ZS: None

Now, if we go to the three-dimensional space, two planes are parallel, when they do not share any line, which allows them to never cross in space.

Hence, according to this definition we have:

Plane parallel to plane STU: WXY

Plane parallel to plane UVZ: TSW

Two lines are skew if and only if they are not in the same plane (also known as not coplanar). So, if two lines are not coplanar, they are not parallel and cannot intersect, either.

Hence, according to this definition we have:

All segments skew to SW: WX, ST

WZ and SV do not match the condition, since they are in the same plane where SW is,

All segments skew to UT: UY, TX

UV and  ST do not match the condition, since they are in the same plane where UT is.

The following answers can be given as the solution to the given questions:

a) All segments parallel to XT:  YU, ZV, WS

b) All segments parallel to ZY:  VU, WX

c) All segments parallel to ZS:  YT

d) A plane parallel to plane STU: WXY

e) A plane parallel to plane UVZ:  TSW

f) All segments skew to SW:  ZY, VU, XY, UT

g) All segments skew to UT:  SW, WX, VZ, ZY

To give the appropriate answers to the given questions, the following terms must be understood.

i. Parallel lines: Two or more lines are parallel if and only if they do not meet even when extended to infinity.

ii. Skew lines: Two or more skew lines are lines that are neither parallel nor intersecting.

iii. Plane: This is flat surface which can either be in x-axis, y-axis or z-axis.

Therefore, the answers to each of the questions are:

a) All segments parallel to XT:  YU, ZV, WS

b) All segments parallel to ZY:  VU, WX

c) All segments parallel to ZS:  YT

d) A plane parallel to plane STU: WXY

e) A plane parallel to plane UVZ:  TSW

f) All segments skew to SW:  ZY, VU, XY, UT

g) All segments skew to UT:  SW, WX, VZ, ZY

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Answer:

1<y≤8

Step-by-step explanation:

step 1

The number is y and it is greater than one.

The sign for greater than in mathematics is '>'

Therefore, we can write

y>1

And it means 1 is less than y

Less than = <

1<y

Step 2

y is less than or equal to 8. In mathematics, the 'less than or equal to' sign is '≤'

Therefore, we can write

y≤8

Step 3

We then combine these two inequalities

1<y≤8

Final answer:

The inequality 1 < y ≤ 8 represents a number y that is greater than 1 and less than or equal to 8.

Explanation:

An inequality representing the statement 'A number y is greater than 1 and is less than or equal to 8' can be expressed as:

1 < y ≤ 8

This inequality signifies that y is greater than 1 (1 < y) and at the same time, less than or equal to 8 (y ≤ 8), fulfilling both conditions simultaneously.

Answer:

-0.14

Step-by-step explanation:

First eliminate the parenthesis:

6( 4x + 5) = 3(x + 8) + 3 =>

24x + 30 = 3x + 24 + 3

Then group x terms on the left and constants on the right

24x - 3x = 24 + 3 - 30

21x = -3

Divide by 21 and simplify:

x = -3/21 = -1/7 ≈ -0.14

Answer:

- 1/7

Step-by-step explanation:

6(4x + 5) = 3(x + 8) + 3

Expand the brackets

6 X 4x + 6 x 5 = 3 X x + 3 X 8 + 3

24x + 30 = 3x + 24 + 3

24x + 30 = 3x + 27

Subtract 30 from both sides to eliminate 30 on the left side

24x + 30 - 30 = 3x + 27 - 30

24x = 3x - 3

Subtract 3x from both sides to eliminate bring all variables to one side

24x - 3x = 3x - 3x - 3

21x = -3

Divide both sides by 21 to isolate x

21x/21 = -3/21

x = -1/7

x = - 1/7

Answer:

210

Step-by-step explanation:

multipy the percent of the won skating competitions by the total amout of competions to get the result of how mant he won. 84% x 250 competitions= 210 competitions won!

Answer:

D

Step-by-step explanation:

The highest point is the vertex, (-3,5), making all y-values less than or equal to 5.

Answer: 5/2 meters

Step-by-step explanation:

You can find the area of a rectangle using this equation:

A = bh, where b is the base (length) and h is the height.

So, your rectangle is:

[tex]\frac{35}{4} = \frac{7}{2}h[/tex]

You can then divide both sides by 7/2 to find h.

[tex]\frac{\frac{35}{4}}{\frac{7}{2}}[/tex]

To divide, you can flip the fraction in the denominator to multiply:

[tex]\frac{35}{4}*\frac{2}{7}[/tex]

So, your width is 70/28. You can divide both sides by 14 to get 5/2.

Answer:

x = - 191/28

Step-by-step explanation:

14 (8x + 56) = 20

112x + 784 = 20

112x = 20 - 784

112x = - 764

x = - 764/112

x = - 191/28

Answer:

Here are a few equivalent equations:

112x + 784 = 20

112x = -764

x = -6.82

Step-by-step explanation:

14(8x + 56) = 20

Multiply

112x + 784 = 20

Subtract 784 from both sides of the equation

112x = -764

x = -6.82

Hope this was useful to you!

The value of  (-3/4[tex])^{-4[/tex] is 256/81.

Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner.

For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as [tex]3^4[/tex], where 4 is the exponent and 3 is the base. The whole expression 34 is said to be power.

We have to find the value of (-3/4[tex])^{-4[/tex]

First of all make the power positive by reciprocate the number

= (-3/4[tex])^{-4[/tex]

= (-4/ 3 [tex])^4[/tex]

Now, expanding the number we get

= (-4 x -4 x -4 x -4) / (3 x 3 x 3 x 3)

= 256 / 81

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Answer:

x^2 + (y – 3)^2 = 36

Step-by-step explanation:

The standard equation of a circle with center at (h, k) and radius r is

(x - h)^2 + (y - k)^2 = r^2.

If the center lies on the y-axis, then h = 0:  (x - 0)^2 + (y - k)^2 = r^2

If the circle diameter is 12, then the circle radius is 6, and so r^2 = 36

So, among the given equations, your

x^2 + (y – 3)^2 = 36 is correct (but only if you use " ^ " for exponentiation).

The equations that represent circles with a diameter of 12 units and a center on the y-axis are x² + (y - 6)² = 36 and x² + (y + 6)² = 36.

The equations that represent circles with a diameter of 12 units and a center on the y-axis are:

To determine if an equation represents a circle, we need to check if the equation follows the standard form of a circle equation, which is (x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius. In this case, since the center lies on the y-axis, the x-coordinate of the center is 0, and we only need to consider the y-coordinate.

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Answer:

the answer above is incorrect im sorry i dont know the answer i wish i could help more god bless have a wonderful day

Step-by-step explanation: