How many students does Mr. Carter have? Choose the correct equation and answer.

Answer:

x = 3

(3, 13)

Step-by-step explanation:

Given equations:

Solve by substitution:

⇒ y = y

⇒ 7x - 8 = 5x - 2

Subtract 5x from both sides:

⇒ 7x - 8 - 5x = 5x - 2 - 5x

⇒ 2x - 8 = - 2

Add 8 to both sides:

⇒ 2x - 8 + 8 = - 2 + 8

⇒ 2x = 6

Divide both sides by 2:

⇒ 2x ÷ 2 = 6 ÷ 2

⇒ x = 3

To find the y-value of the point of intersection, substitute the found value of x (from part A) into one of the equations:

⇒ y = 7(3) - 8

⇒ y = 21 - 8

⇒ y = 13

Therefore, the point at which the lines intersect is (3, 13)

Answer:

To find the greatest number of stickers Cassie can place on a page that is 11 inches long and 8 inches wide without them overlapping, we need to use the same approach as before.

Firstly, we need to calculate the maximum number of stickers that can fit along the length of the page, which is now 11 inches. Since each sticker is 3 inches long, we can fit 3 stickers along the length (11 ÷ 3 = 3 with a remainder of 2).

Next, we can calculate the maximum number of stickers that can fit along the width of the page, which is still 8 inches. Since each sticker is 2 inches wide, we can fit 4 stickers along the width (8 ÷ 2 = 4).

To ensure that the stickers do not overlap, we can only use the full row of 3 stickers from the previous calculation. Therefore, we can place 3 stickers along the length and 4 stickers along the width, giving us a maximum of 12 stickers that Cassie can place on the page without them overlapping.

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

First, find out how much stickers you can put on the long side:

12/3 = 4

Next, find out how much stickers you can put on the wide side:

8/2 = 4

Lastly, calculate them together:

4x4=16

So the answer is 16.

Answer:

2cm is 5km

Step-by-step explanation:

16cm is 40km

Answer: 4e+6 centimeters

Step-by-step explanation:

Multiply the length value by 100000 and you'll get your answer.

40x100000= 4e+6 (Multiplied by length value).

Answer: 20 minuse n

Step-by-step explanation:

Answer: 1/2 + 2/3 + 4 /6  = 11/6

Step-by-step explanation:

1/2 + 2/3 + 4 /6

We need to find a common multiple, for the denominator. Let us choose 6, so we do not have to deal with large numbers.

Note that we do not change 4/6, since it already has a denominator of 6.

==> 3/6 + 4/6 + 4/6

Add;

==> 11/6

3/6 + 4/6 + 4/6  equal to 11/6

Hope this helped!

Answer:

The equation is: \(5c-2=9\)

Step-by-step explanation:

Since 2 less than the product of 5 and a number c is equal to 9, it follows:

\(5c-2=9\)

Answer:

1. 125

2. 25

3. 40

4. 39

First question:

(15-10)^2 + (15-5)^2

parentheses first to get 5^2 + (15-5)^2

exponents next to get 25 + (15-5)^2

parentheses again 25 + 10^2

exponents again 25 + 100 = 125

Second question:

simplify the exponents (3 *3) + (4 * 4) + (2 * 2) to get 9 + 16 + 4 = 29

Third question:

simplify in the parentheses 6 1/7 - 1/7 = 6

divide 60 by 6 to get 10

multiply 10 by 4 to get 40!

Fourth question:

simplify the fractions to get 1/3 + 8/3 = 3

multiply the 3 by 13 to get 39

Answer:

$4.08

Step-by-step explanation:

Answer:

I think... $4.08 maybe... I may be wrong lol actually that's it..

Answer:

87

Step-by-step explanation:

you already had it picked :) you got this :D

Answer:

1/3

Step-by-step explanation:

just convert it?

3/10

Step-by-step explanation:

60% is the same as 60/100

90% is the same as 90/100

90-60=30

30/100

30/100 is divided by 10 on each side to simplify it to 3/10

Answer:

D.

If im wrong im sorry

0.18 divided in 3 = 0.06 , its infinite so its D..

Answer:

Step-by-step explanation: Luke's cone had more icecream

Answer: Range and mean = 8 of both

variance of Set X= 4.7

variance of Set Y= 4.6

Step-by-step explanation:

Two sets of data, set X and set Y are given

a.) Range is the difference of the highest value and the lowest value,

Therefore, Range of set X = 12-4=8

Range of set Y = 12-4=8

Now, Mean of a given data set is the average of all the terms present in the given data set

Mean of set X= Σxif/n = (4+5+6+7+16+18+24)/10 = 8

Mean of set Y= (4+5+7+32+20+12)/10= 8

Therefore, both the data sets has same range and mean.

b.) Standard deviation tells about the variability of the date and is given by,

S.D= σ = √∑ ( X − μ )^2/n

S.D of set X= √(16+9+4+1+0+1+16)/10= √4.7

S.D of set Y= √(16+9+1+0+4+16)/10= √4.6

Variance is the square of S.D, that is, σ^2

Therefore, variance of set X=4.6

variance of set Y= 4.7

c.) The calculated variances of set X and set Y are 4.7 and 4.6 respectively. It implies that the data is more distributed or varied in set X than in set Y. In the other words, data in set Y is more consistent data than of set X.  

To learn more about S.D and variance,

https://brainly.com/question/15858152

https://brainly.com/question/12402189

Answer: Range and mean = 8 of both

variance of Set X= 4.7

variance of Set Y= 4.6

Step-by-step explanation:

We know

a.) Range is the difference of the highest value and the lowest value,

Therefore, Range of set X = 12-4=8

Range of set Y = 12-4=8

Now, Mean of a given data set is the average of all the terms present in the given data set

Mean of set X= Σxif/n = (4+5+6+7+16+18+24)/10 = 8

Mean of set Y= (4+5+7+32+20+12)/10= 8

also

b.) Standard deviation tells about the variability of the date and is given by,

S.D= σ = √∑ ( X − μ )^2/n

S.D of set X= √(16+9+4+1+0+1+16)/10= √4.7

S.D of set Y= √(16+9+1+0+4+16)/10= √4.6

Variance is the square of S.D, that is, σ^2

Therefore, variance of set X=4.6

variance of set Y= 4.7

c.) The calculated variances of set X and set Y are 4.7 and 4.6 respectively. It implies that the data is more distributed or varied in set X than in set Y. In the other words, data in set Y is more consistent data than of set X.

Answer:

Step-by-step explanation:

With x = 1, we can substitute the value 'x' as the exponent. Answers are below.

Answer:

I think its A

Step-by-step explanation:

Answer:

it is 3.2 kilograms

Step-by-step explanation:

Answer:

The answer is hank.

Step-by-step explanation:

   3c+9-9 = 417-9.

c=136

Answer:

A. x = -6
B. x = 15

Step-by-step explanation:

A.

\(\frac{x}{3}-5=-7\\\frac{x}{3}-\frac{15}{3}=-7\\\frac{x-15}{3}=-7\\x-15 = -7*3\\x-15=-21\\x=-21+15\\x=-6\)

B.

\(\frac{x}{2}-5=2.5\\\frac{x}{2}-\frac{10}{2} = 2.5\\\frac{x-10}{2}=2.5\\x-10= 2.5*2\\x-10=5\\x=5+10\\x=15\\\)

I hope this helps brother! :D

Answer:

12 and 78 are complementary.

80 and 100 are supplementary.

50 and 50 are neither.

Step-by-step explanation:

Hope it helps! =D

Answer:

C

Step-by-step explanation:

It isn't B because the point does not start at 600 and it is not A because it shows the entire decrease of the mass in one millennium. The correct answer is c.

Answer: 8units by 5units

Step-by-step explanation: I started with the length counted from the point  (-3,4) counting the number of squares that go to point (3,-4) giving me 8squares/units

then the width I used the same method getting 5squares/units

Answer:

b)  -185/18

Slope of the line   \(m = \frac{-185}{18}\)

Step-by-step explanation:

Explanation:-

Given two co-ordinates are

\((\frac{10}{17} , \frac{2}{17} ),(\frac{9}{17} , \frac{13}{18} )\)

Slope of the line

                 \(m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)

                \(m = \frac{13/18 - 2/17 }{9/17 - 10/17 }\)

                \(m = \frac{\frac{221-36}{18 X 17} }{\frac{-1}{17} }\)

On simplification, we get

              \(m = \frac{-185}{18}\)

Answer: Pi 2,o0

Step-by-step explanation:

Answer:

The first option, V ≈ 1607.7 in²

Step-by-step explanation:

Find the volume of the given cylinder.

\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)

Given:

r = 8 in

h = 8 in

π = 3.14

Find:

V = ?? in³

\(\hrulefill\)

Now solving,

Substitute the given values into the formula:

=> V = (3.14)(8)²(8)

Using a calculator to simplify:

=> V = 1607.68 in²

Rounded to the nearest tenth:

∴ V ≈ 1607.7 in²

Thus, the first option is correct.