solve the following equation for x: 6( 4x + 5) = 3(x + 8) + 3. round to the nearest hundredth.

Answer:

48 in

Step-by-step explanation:

I multiplied 16 by 3 since 6 is representing the whole 1 side of the rectangle but your trying to find half of the rectangle and that side so 6 in the equation becomes 3

Answer:

48 inches

Step-by-step explanation:

multiply 16 by 3 so 6 becomes 3

Answer: A coefficient is simply a variable that has a number with it. For example 2y has a coefficient. The coefficient is 2 because you will multiply 2 by y.

A coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression

Answer:

(-2,1)

Step-by-step explanation:

add 3 to x,(-5 + 3 = -2) and subtract 2 from y,(3 - 2 = 1)

Answer:

55.23

Step-by-step explanation:

Answer:

9. 149 degrees

10. 2 units

Step-by-step explanation:

9. These two triangles are congruent, which means their corresponding side lengths and angles are are equal.

Here, the angle on the bottom triangle marked x actually corresponds to the angle in the top triangle that is unlabelled. That means if we find the unlabelled angle in the top triangle, we've found x.

All angles of a triangle add up to 180, so we can write: x + 17 + 14 = 180

Solve for x: x = 180 - 17 - 14 = 149 degrees

10. Similar triangles have their corresponding angles the same and their corresponding sides in the same ratio, not the same length this time.

Notice that RP is the long leg of triangle PQR and that AC is the long leg of triangle ABC, which means that they correspond to each other and we can write the ratio: RP / AC = 16 / x.

Notice that QP is the short leg of triangle PQR and that AB is the short leg of triangle ABC, which means that they correspond to each other and we can write the ratio: QP / AB = 8 / 1.

Now we can set these two ratios equal and solve for x:

16/x = 8/1

8x = 16

x = 2 units

Answer:

9. 149°

10. 2

Step-by-step explanation:

Congruent figures have the same angles and lengths

x = 180 - 17 - 14

x = 149°

Similar figures have sides in the same ratio

1/8 = x/16

x = 16/8

x = 2

Answer: (A)

Step-by-step explanation: A shows all of the right ones. It only shows the letter b because the one is “invisible.”

Answer:

0.007

Step-by-step explanation:

( 0.006)  6 is the first significant number.

The number next to it is seven.  (0.0067) in which 7 is greater than 5.

therefore, add 1 .

the final answer is 0.007

0.006772 rounded to 1 significant figure is 0.

We round off numbers to make them easier to remember and it also keeps its value approximately to the place it has been rounded off.

To round off any number to any place we'll look for the digit next to that place and if it is equal to or greater than 5 we'll add one to the previous digit and make all the digits after it zeroes and if the digit is less than 5 we do not add one to the preceding digit and simply make all the digit after it to zeroes.

Given,  0.006772  and we'll round this to 1 significant figure means only one digit it will have after the decimal place.

So,  0.006772

= 0.006770

= 0.00677

= 0.00680

= 0.00700

= 0.007

= 0.010

= 0.01

= 0.00

= 0.

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Answer:

-2.7

Step-by-step explanation:

i did it.

Answer:

$1.50

Step-by-step explanation:$3.00/2 is $1.50 hope this helps god bless

Answer:

The unit price is 1.50, you just needed to divide by two to see how much one note book costs.

Hope this helps <3

Answer:

70

Step-by-step explanation:

There are 8 choices for the first member, 7 for the second, 6 for the third, and 5 choices for the fourth member (because once you pick someone as a member, they cannot be picked again)

So you have:

8*7*6*5 = 1680

However, we realize that in this particular problem, order DOES NOT matter. (for example, ABCD is the same as DCBA.)

So we divide 1680 by 4! (4*3*2*1) to end up with 70.

You do this because because there are 4! ways to arrange 4 people in a line, and since order doesn't matter, only one of those arrangements counts.

The required mean absolute deviation is 2.1 times the difference between the means of the data sets.

The mean of the values is the ratio of the total sum of values to the number of values.

To find the means of the two data sets, we need to convert the double stem-and-leaf plots into regular frequency distributions.

To calculate the mean of this data set, we can use the formula:

Mean of Giavano's = (sum of values) / (number of values)
Mean = [31+32+33+36+42+44+46+52+63+68+]/10
Mean= 44.7

Mean of brick oven = (sum of values) / (number of values)
Mean = 38+57+58*2+66+69+74+77+78+79 / 10 = 65.5

Difference of the mean = 65.5-44.7
MAD = 10

According to the question, a ratio of the difference of mean to MAD,
= 65.5 - 44.7 / 10 = 2.1

Thus, the required mean absolute deviation is 2.1 times the difference between the means of the data sets.

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Answer:

The can's volume is 35.34 inches

the cone's volume is 11.78 inches

hope it helps you!!

The question asks for the volume of a cylinder and a cone, both with a height of 5 inches and a diameter of 3 inches. The volume of the cylinder is calculated as approximately 35.34 inches³, and the volume of the cone is about 11.78 inches³.

The question involves finding the volume of two different 3-dimensional shapes: a cylinder (soda can) and a cone (ice cream cone). To calculate the volume of the cylinder, we use the formula V = π r² h, where r is the radius of the circular base, and h is the height of the cylinder.

Since the diameter of the soda can is given as 3 inches, the radius (which is half of the diameter) would be 1.5 inches. For the cone, the formula for volume is V = {1}/{3} π r² h, using the same measurements for r and h as the soda can. The calculations then proceed as follows:

Cylinder: V = π (1.5)² × 5 = π × 2.25 ×  5

Cone: V = {1}/{3} π (1.5)² × 5 = {1}/{3} π × 2.25 ×  5

The volume of the cylinder would be approximately 35.34 inches³ and the volume of the cone would be about 11.78 inches³, assuming π is approximately 3.14159.

Answer:

116 degrees

Step-by-step explanation:

Supplementary Angles=180 degrees

64+x=180

180-64=116

116=116

Answer:

20260

Step-by-step explanation:

The area of the side lengths is base (75) * slant height (97.5) * 1/2 *4 = 14635

The area of the base is 75^2 = 5625

Add them together ot get 20260

C. 33π in^2

Here is why:

The formula for the surface area of a cone is:

[tex]SA=\pi r^2+\pi rl[/tex]

We can plug in the numbers from the picture, but we will keep π and not put it as 3.14, since the answer choices are in π.

[tex]SA=(\pi *3*3)+(\pi *3*8)[/tex]

[tex]SA=9\pi +24\pi[/tex]

SA = 33π

Answer is:

33π in^2

Answer:

you could have asked nicely

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

183-37=146

Answer: 146beads

Step-by-step explanation:

Eva has 183beads

She used 37beads

How many left

To get that, you will deduct the used from the exact value

=183-37

=146beads

Answer:

1) The height of the prism is 8 units.

2) The area of its base is 27 square cm.

Step-by-step explanation:

The formula of a rectangular prism is

[tex]\text{Volume}=\text{Area of base}\times \text{Height}[/tex]

1) Given : The area of the base of a rectangular prism is 225 units square If the volume is 1800 cubic  units.

To find : What is the height of the prism?

Solution :

Volume = 1800 cubic  units

Area of base = 225 units square

Substitute the value,

[tex]1800=225\times \text{Height}[/tex]

[tex]\text{Height}=\frac{1800}{225}[/tex]

[tex]\text{Height}=8[/tex]

The height of the prism is 8 units.

2) Given : The volume of a rectangular prism is 216 cubic cm. If the height of the prism is 8 cm.

To find : What is the area of its base?

Solution :

Volume = 216 cubic  cm

Height = 8 cm

Substitute the value,

[tex]216=\text{Area of base}\times 8[/tex]

[tex]\text{Area of base}=\frac{216}{8}[/tex]

[tex]\text{Area of base}=27[/tex]

The area of its base is 27 square cm.

Answer:

10

Step-by-step explanation:

Answer:

78.04 square cm

Step-by-step explanation:

Area of shaded region = area of circle - Area of rectangle

[tex] = \pi \: {r}^{2} - l \times w \\ = 3.14 \times {6}^{2} - 7 \times 5 \\ = 3.14 \times 36 - 35 \\ = 113.04 - 35 \\ = 78.04 \: {cm}^{2} [/tex]

Answer:

78.04 cm^2

Step-by-step explanation:

Hope this helps!

Answer: 3/27

Step-by-step explanation:

Multiply both numbers by 3 so that the denominator is 27

The required fraction is 3/27 is 1/9 with a denominator of 27.

Here, we have,

given that,

we have to Rewrite 1/9 with a denominator of 27

so, we get,

the fraction is 1/9

now, we need a denominator of 27

let, x must be multiplied to make the denominator of 27

i.e. 9*x = 27

or, x = 3

so, we get,

Multiply both numbers by 3 so that the denominator is 27.

i.e. 1/9 = 3/27

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Answer: B

Step-by-step explanation:

I guessed and I got it right

Answer:

the height is 16 and the volume is 476.24 i think

Step-by-step explanation:

Answer:

the radius is 24

Step-by-step explanation:

Answer:

[tex]2\pi \: r = 48 \\ \frac{2\pi \: r}{2} = \frac{48}{2} \\ \pi \: r = 24 \\ r \: \: = \frac{24}{\pi} \\ r = 7.639in[/tex]

Answer:

x=-2/7,y=8/7

Step-by-step explanation:

Simultaneous equation

y=3x+2....(1)

2x-3y=8...(2)

Substitute (1) into (2)

2x-3(3x+2)=8

2x-9x-6=8

Collect like terms

-7x=8-6

-7x=2

Divide both sides by-7

X=-2/7

Substitute the value for x into (1)

y=3(-2/7)+2

y=-6/7+2

Lcm be 7

y=-6+14/7

y=8/7

Therefore x=-2/7,y=8/7

Answer:341/135

Step-by-step explanation:

Answer:

-1.107

Step-by-step explanation:

The answer is -1 or d, because -1 1/2 and 3/2 are equal, except for the fact that -1 1/2 is negative.

Answer:

19/27

Step-by-step explanation:

Each time that you roll a dice, there is a 1/3 chance you get a 5/6(assuming you have a fair dice). The probability of rolling that atleast once is the inverse of the probability of rolling a 1-4 each time. There is a [tex]\frac{2}{3}[/tex] chance each time you roll the dice. Thus raising this to the third power results in [tex]\frac{8}{27}[/tex]. Since we are looking for the inverse probability, we can do:

[tex]1-\frac{8}{27}[/tex] In order to get our final answer.

Answer:

2.5e^-0.04x = 1.2 + 0.2x

Step-by-step explanation: