Solve the following problems. Show your work.

1. A game designer used 9 ounces of clay to make 24 identical pieces for a game. What is the number of ounces of clay that were used for each piece?

2. The equation x + 5 = 12 can be solved using one step. What is the step? Explain.

3. Yvonne’s age, in years is represented by y. Rebekah’s age is one year less than three times Yvonne’s age. What expression represents Rebekah’s age in years?

4. Students in a science class measured rain by writing down the depth of water in a bucket that collected the rain. The bucket was empty before the rain began to fall at a steady rate. Over a 6-hour period during school. After 3 hours, the water had a depth of 18 millimeters. What is the unit rate in millimeters per hour, did the bucket fill after rain started to fall at a steady rate?

5. Laura uses 3 yards of fabric to make 2 skirts. She uses the same amount of fabric to make each skirt. At this rate, what is the total amount of fabric, in yards, she needs to make 6 skirts?

Answer:

I need the table, if you give the table ill answer it right away.

Step-by-step explanation:

Answer:

1.53$

Step-by-step explanation:

Do the equation 16 / 10.40 = 1.53.

pls give brainliest

Answer:

:what is the question

Answer:

if were solving for X, that's the answer

Step-by-step explanation:

Answer:

hope this helps

Step-by-step explanation:

Answer:

2 x 10^3 times

Step-by-step explanation:

-lukelaws

I hope I helped if I did please mark me brainliest!

Answer:

Read Explanation

Step-by-step explanation:

I will go in order from left to right on the top row, then go down to the bottom row and go from left to right. (btw most of these are just cutting shapes into smaller pieces)

1st shape:(40)+(40)+(5*4=20/2=10)

80+10=90cm

2nd shape:36+60=96cm

3rd shape: 56+(4*8/2)   56+16=72cm

4th shape: 12+55+5= 12+60=72 cm

5th shape:4+88=92 cm

6th shape:68 as it is the last option

Answer:

9/41+10/41 which is 19/41

Step-by-step explanation:

If its right, mark me as brainliest

Answer:

The area decreases by 1155.52 square meters

Step-by-step explanation:

What we must do is calculate the area before and after making the diameter cut.

The area of a circle is equal to:

a = pi * r ^ 2

now the diameter is equal to:

d = 2 * r

therefore r,

r = d / 2

before the cut would be

r = 96/2

r = 48

replacing in the area formula

a1 = 3.14 * 48 ^ 2

a1 = 7234.56 square meters.

after cutting the diameter decreases by 8, that is, 96 - 8 = 88, calculating the radius would be:

r = 88/2

r = 44

now calculating the new area would be:

a2 = 3.14 * 44 ^ 2

a2 = 6079.04 square meters.

now we calculate the difference

a1 - a2 = 7234.56 - 6079.04

= 1155.52 square meters

means that the area decreases by 1155.52 square meters

Answer:

The answer is B

Step-by-step explanation:

find the average of how many she inspected every day:

(30+35+40+45+50)  /   5     =   40

(6+4+4+5+3)   /    5    =  4.4

so on average, she inspected 40 shirts a day and found (technically) 4.4 defects

so to find the percentage we do this:

4.4/40 * 100 = 11%

so the answer is B

Answer:

Percentage is a part of a whole. The percentage change in the number of paper clips is 12.5%.

Given to us

Number of Paper clips Initialy= 72

Number of Paper clips now = 63

We know that the paper clip, in the beginning, was 72 but later on it was reduced to 63. therefore, the paper clips were reduced from the initial value.

\text{Percentage change} =\rm \dfrac{Initial\ value\ - final\ value}{Initial\ value} \times 100Percentage change=

Initial value

Initial value −final value

×100

Substitute the value,

\text{The percentage change in the paperclip } =\rm \dfrac{Initial\ value\ - final\ value}{Initial\ value} \times 100The percentage change in the paperclip =

Initial value

Initial value −final value

×100

\begin{gathered}\begin{aligned}\text{The percentage change in the paperclip } &=\rm \dfrac{72-63}{72} \times 100\\\\&= 12.5\% \end{aligned}\end{gathered}

The percentage change in the paperclip

=

72

72−63

×100

=12.5%

Hence, the percentage change in the number of paper clips is 12.5%.

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Step-by-step explanation:

THIS ANSWER IS CORRECT

BRAIN LESS ANSWER

Answer:

Angle C= 79 degrees

Angle X= 62 degrees

Yes, the two triangles are similar because all the angles are congruent. The requirement for two triangles to be similar is if two corresponding angles are equal.

Step-by-step explanation:

A triangle is 180 degrees.

So adding the angles of triangle ABC, 62+39=101

180-101=79, so angle c is 79 degrees

Adding the angles of triangle XYZ, 39+79=118

180-118=62, so angle x is 62 degrees

Answer:

Angle C= 79 degrees

Angle X= 62 degrees

Step-by-step explanation:

Answer: I got A is 350 over 13 and B is 400 over -13

Step-by-step explanation:

Hope this helps!

The value of [tex]x[/tex] such that [tex]\dfrac{18}{10}[/tex] more than a number of [tex]x[/tex] is equal to [tex]\dfrac{29}{5}[/tex] is [tex]4[/tex].

Draft a linear mathematical equation from the given data and solve the same to determine the value of [tex]x[/tex].

Solution

According to the question,

[tex]x+\dfrac{18}{10}=\dfrac{29}{5}\\x=\dfrac{29}{5}-\dfrac{18}{10}\\x=\dfrac{29-9}{5}\\x=4[/tex]

As a result, the value of [tex]x[/tex] is [tex]4[/tex].

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Answer:

3x+y=8 and 3x+y=9

Step-by-step explanation:

Assume these two equations:

a1x+b1y+c1=0

a2x+b2y+c2=0

If (a1/a2) = (b1/b2) ≠ (c1/c2) than those two would have no solution.

In these case, take a look at the last option:

[tex]3x + y = 8 \\ 3x + y = 9[/tex]

Re-write 'em as a standard form:

[tex]3x + y - 8 = 0 \\ 3x + y - 9 = 0[/tex]

So (a1/a2) = (b1/b2) ≠ (c1/c2) is true here:

[tex] \frac{3}{3} = \frac{1}{1} ≠ \frac{ - 8}{ - 9} [/tex]

And they do not have any collision point

Answer:

130

Step-by-step explanation:

130 because 130 +15 is equal to 145 and if the angles cross they're the same measure

Answer:

C.

Step-by-step explanation:

Answer:

57

Step-by-step explanation:

There's three shapes, 2 triangles and 1 rectangle.

1. To find the area of a rectangle multiply the legth x width, so 5*2, which is 10.

2. To find the area of a traingle multiply the length and width, and then divide that by two. For the smaller triangle do 6*5, which is 30, and divide that by 2 for 15.

3. The big triangle shows the length of one side but not on the other. Because the length of the rectangle is the same on both sides, and the length 3 and 5 are on the same line, the other length of the large triangle is 8.

4. 8*8 is 64, and dividing that by 2 is 32.

5. Add all of the numbers: 10+15+32, which is 57.

The area of a 2D form is the amount of space within its perimeter. The total area of the given figure is 57 inches².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Let the given figure be divided into three parts. Such that the triangle on the left side or the bigger triangle is represented by A and the triangle on the right side of the smaller triangle is represented by B. The area of the given shape can be written as,

Area of triangle A = 1/2 × Height of triangle A × Base of the triangle A                               = 1/2 × 8 inches × 8 inches

                              = 32 inches²

Area of rectangle = Length × Breadth

                             = 5 inches × 2 inches

                             = 10 inches²

Area of triangle B = 1/2 × Height of triangle B × Base of the triangle B                                         = 1/2 × 5 inches × 6 inches

                             = 15 inches²

Further, the total area of the shape can be written as,

Total area = 32 inches² + 10 inches² + 15 inches²

                 = 57 inches²

Hence, the total area of the given figure is 57 inches².

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Answer:

32 spot light

Step-by-step explanation:

lets say each spot light was 20$ the answer would be 32 cuz 32 x 20 = 640 so our equation would be 640 ÷ 20 = x and x = 32

The combined height of the flowers Persia uses will be 61 1/4 inches. Then the correct option is C.

Suppose we're measuring something whose values are numeric. For each value of that thing we observe, we plot a dot above that value in the number line. Thus, the total number of dots in the dot plot tells us the total number of observations of the values of that thing we did.

The line plot below shows the heights of flowers grown by the students in one of the fifth-grade classes. Persia makes a flower arrangement using the 8 longest flowers.

Then the combined height of the flowers Persia uses will be

→ 6.5 + 6.75 + 7 + 7.25 + 7.5 + 7.75 + 8.5 + 10

→ 61.25

The number 61.25 can be written as

→ 61 and 1/4 inches

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Answer:

166

Step-by-step explanation:

Do the parathisis first

(2x12)=24

(5x6)=30

Then do

220-24-30=166

Answer:

166

Step-by-step explanation:

18m^2

area of a trapezoid = (a+b)/2 * h, where a and b are bases 1 and 2, and h is height

(4+8)/2 * 3

= 12/2 * 3

= 6 * 3

= 18

Answer:

4

Step-by-step explanation:

Here's my method of doing this:

We'll be using logarithms

Our question is:

[tex](\frac{1}{3})^{2}[/tex] × [tex](\frac{1}{3})^x[/tex] = [tex]\frac{1}{729}[/tex]

If we don't want to evaluate any powers at all we'll have to make each term have the same base (so that we can ignore the base — [tex]\frac{1}{3}[/tex])

we need to figure out what power of a [tex]\frac{1}{3}[/tex] the [tex]\frac{1}{729}[/tex] is.

what we can do is the following:

[tex](\frac{1}{3})^?[/tex] = [tex]\frac{1}{729}[/tex]

[tex]3^?[/tex] = 729

If we take the "log" of each, we can find out what power of 3 gives 729.[tex]log(3^?) = log\ 729[/tex]

We must remember this rule: [tex]log(a^n) = n \times log(a)[/tex]

[tex]? \times log 3 = log 729[/tex]

[tex]? = \frac{log\ 729}{log\ 3}[/tex]

? = 6 (with a calculator)

This means that to get 729, we need to do [tex]3^6[/tex]

Therefore [tex](\frac{1}{3})^6 = \frac{1}{729}[/tex]

We can now solve the equation!

[tex](\frac{1}{3})^{2}[/tex] × [tex](\frac{1}{3})^x[/tex] = [tex]\frac{1}{729}[/tex]

[tex](\frac{1}{3})^{2}[/tex] × [tex](\frac{1}{3})^x[/tex] = [tex](\frac{1}{3})^6[/tex]

Since each term of our equation has the same base of  [tex]\frac{1}{3}[/tex] we can ignore it and just deal with the powers!

We must remember this rule: [tex]x^a \times x^b = x^{a + b}[/tex]

Using this rule:

[tex](\frac{1}{3})^{2}[/tex] × [tex](\frac{1}{3})^x[/tex] = [tex](\frac{1}{3})^6[/tex] becomes...

[tex]2 + x = 6[/tex]

[tex]x = 6 - 2 = 4[/tex]

Answer:

19 yards squared

Step-by-step explanation:

3x5=15

2x2=4

15+4=19

Answer:

chicken:46

salad: 115

burgers: 92

fruit:138

Step-by-step explanation:

chicken: 575*8%=46

salad: 575*20%=115

burgers: 575* 16% =92

fruit:575*24%=138

Answer:

spark addition is a left to right addition

From the stem and leaf plot, we get the following data points-

10, 23, 23, 28, 33, 45, 80, 90

First of all, the data should be arranged in the ascending order. The given data is already in the ascending order, so we can proceed directly.

The formula that is used to calculate the IQR is Q3-Q1, which is the difference between the third and the first quartile of the given data.

Now we need to find the median for the data given for the second quartile. Median is the average of the two central values- 28 & 33.

Hence we get Q2 = (28 + 33) / 2 = 30.5.

Now we find the median for Q1, which is the median of the lower part of the given data which is 10, 23, 23, & 28. (23 + 23) / 2 = 23.

Similarly, for Q3, which is the upper part- 33, 45, 80, and 90. We get (45 + 80) / 2 = 62.5.

Now we should subtract Q1 from Q3: Q3 - Q1 = 62.5 - 23 = 39.5.

So, the interquartile range is 39.5.

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