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ra1l [238]
3 years ago
10

Henry divided his socks into five groups. Let s represent the total number of socks. Which expression and solution represent the

number of socks in each group if s=20?
A. S/5; when s=20, the number of socks in each group is 4.

B. S/5; when s=20, the number of socks in each group is 15.

C. S-5; when s=20, the number of socks in each group is 4.

D. s-5; when s=20, the number of socks in each group is 15.
Mathematics
1 answer:
Triss [41]3 years ago
8 0

Answer:

A. 4 socks per group and S/5

Step-by-step explanation:

20 total # of socks ÷ 5 groups = 4 socks per group

So A. is correct.

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With a family bowling pass, families can bowl for $4 per game . The pass cost $10 per year. Use equation , a table and a graph t
Klio2033 [76]

Answer:

Part a) a=4g+10 (see the explanation)

Part b) see the explanation

Part c) The graph in the attached figure

Step-by-step explanation:

<u><em>The complete question is</em></u>

With a family bowling pass, families can bowl for $4 per game. The pass costs $10 per year. Use an equation, a table, and a graph to explain the relationship between the total amount of money spent on bowling in a year, a, and the number of games a family plays in a year, g. Part A Use words and an equation to represent this problem. Part B Create a table to show values for g and a. Part C Use the values from your table to draw a graph.

Part A) Use words and an equation to represent this problem

Let

a ----> the total amount of money spent on bowling in a year

g ---> the number of games a family plays in a year

we know that

The linear equation in slope intercept form is equal to

a=mg+b

where

m is the slope or unit rate

b is the a-intercept or initial value

In this problem we have

m=\$4\ per\ game

b=\$10

substitute

a=4g+10

Part b) Create a table to show values for g and a

Assume different values of g and calculate the corresponding values of a

For g=0 ----> a=4(0)+10=\$10

For g=1 ----> a=4(1)+10=\$14

For g=2 ----> a=4(2)+10=\$18

For g=3 ----> a=4(3)+10=\$22

For g=4 ----> a=4(4)+10=\$26

The table is

\left[\begin{array}{ccc}g&a\\0&10\\1&14\\2&18\\3&22\\4&26\end{array}\right]

Part c) Use the values from your table to draw a graph

we have the ordered pairs

(0,10),(1,14),(2,18),(3,22),(4,26)

Plot the ordered pairs and join them to graph the line

The graph in the attached figure

6 0
3 years ago
Solve the proportion 40/z+1 = 15/6
vovangra [49]

Answer:

<h2>z = 15</h2>

Step-by-step explanation:

\frac{40}{z + 1}  =  \frac{15}{6}  \\

<u>Cross multiply </u>

That's

15(z + 1) = 40(6) \\ 15z + 15 = 240

<u>Send 15 to the right side of the equation</u>

15z = 240 - 15 \\ 15z = 225

Divide both sides by 15

\frac{15z}{15}  =  \frac{225}{15}  \\

We have the final answer as

<h3>z = 15</h3>

Hope this helps you

7 0
3 years ago
The score of golfers for a particular course follows a normal distribution that has a mean of 73 and a standard deviation of 3.
Artemon [7]

Answer:

P(X \geq 74) = 0.3707

Step-by-step explanation:

We are given that the score of golfers for a particular course follows a normal distribution that has a mean of 73 and a standard deviation of 3.

Let X = Score of golfers

So, X ~ N(\mu=73,\sigma^{2}=3^{2})

The z score probability distribution is given by;

           Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = population mean = 73

           \sigma = standard deviation = 3

So, the probability that the score of golfer is at least 74 is given by = P(X \geq 74)

 P(X \geq 74) = P( \frac{X-\mu}{\sigma} \geq \frac{74-73}{3} ) = P(Z \geq 0.33) = 1 - P(Z < 0.33)

                                               =  1 - 0.62930 = 0.3707                  

Therefore, the probability that the score of golfer is at least 74 is 0.3707 .

3 0
3 years ago
Find the measure of 26.<br> 4 6 = [?]<br> 249<br> 46
Basile [38]

ANSWER:

We know that the sum of angles of same sides in parallel lines are supplementary(180°).

So, ∠6 + 24° = 180°

  • ∠6 = 180° - 24°
  • ∠6 = 156°.
7 0
3 years ago
Read 2 more answers
10. Use the diagram below to find the value of x.
Sholpan [36]

Answer:

x=20

Step-by-step explanation:

Hello There!

Remember the exterior angle of a triangle rule:

An exterior angle of a triangle is equal to the sum of the opposite interior angles

Knowing this, we can create an equation to solve for x

exterior angle (100) = sum of opposite interior angles (3x+2x)

100 = 2x+3x

now we solve for x

step 1 combine like terms

2x+3x=5x

now we have 100=5x

step 2 divide each side by 5

5x/5=x

100/5=20

we're left with x = 20

7 0
2 years ago
Read 2 more answers
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