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navik [9.2K]
1 year ago
15

In Exercises 6 and 7, use the given measure to find the missing value in each data set. 6. The mean of the ages of 5 brothers is

13 years. 12, 16,__, 14, 8 7. 7. The median number of students in each music class is 19 people. 16,___, 24, 17, 20, 21 8.
Mathematics
1 answer:
strojnjashka [21]1 year ago
7 0

Solution

Problem 6

For this case we can do this:

12, 16,__, 14, 8, 7

We can solve for x like this:

\frac{12+16+x+14+8+7}{6}=13x=13\cdot6-(12+16+14+8+7)=21

Problem 7

F

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If h(x) = f(x) - g(x) = 2x, at what x-value will f(x) = g(x) + 20?
Olegator [25]

Answer:

B

Step-by-step explanation:

This is a neat question

f(x) - g(x) = 2x           Add g(x) to both sides

f(x) = g(x) + 2x

Now you need the right hand side to have 20 added to g(x).

2x must = 20

2x = 20                    Divide by 2

x = 20/2

x = 10

So the answer must be x = 10

8 0
2 years ago
1. After filling up your car's gas tank with 8.6 gallons, you see that you traveled
alexgriva [62]

Answer:

15.5813 (15.6 miles per gallon)

Step-by-step explanation:

you divide 134 by 8.6 and then round it

8 0
2 years ago
What is 5/20 simplified ?
andre [41]

5/20 simplified is 1/10

it's simple math

5 0
3 years ago
Read 2 more answers
I need help with questions 1,2, and 3. Would gratefully appreciate it (:
motikmotik

Answer:

Step-by-step explanation:

(2):

First let's organise the data:

33 miles ... x mph ... 4h - downstream

33 miles ... y mph ... 7h - up the stream

x = 33/4 = 8.25 mph

y = 33/7 = 4.71 mph

(3)

P(x) = x^2 - 2x - 3

To find the amount of key rings sold when the profit is 5000$ we have to equate P(x) with 5, because in the problem the profit of the key rings is displayed in terms of thousands.

x^2 - 2x - 3 = 5\\x^2 - 2x - 8 = 0\\x_1 = 4, x_2 = -2

Since the number of keyrings sold has to be positive the only answer is 4 thousand key rings.

3 0
3 years ago
Part A) Julio makes a scale drawing of the kitchen floor to determine how many square feet of flooring he needs to buy . The sca
serg [7]
Part A) 
we know that
<span>scale ---------->  inch/4 feet=0.25 in/ft

</span>[scale]=[scale drawing]/[actual]
[actual]=[scale drawing]/[scale]

for <span>length --------> 4 1/2 in ---------> 4.5 in  (</span>scale drawing)
[actual]=[4.5]/[0.25]=18 ft

for <span>width ---------> 3 3/8 in</span> ---> (3*8+3)/8 ---> 27/8 in  (scale drawing)
[actual]=[27/8]/[0.25]=13.5 ft

the answer part A is
length actual <span>kitchen floor is 18 ft
</span>width actual kitchen floor is 13.5 ft

Part B)  
the area of one square in the actual=(1/2)*(1/2)=0.25 ft²
total area gray tiles=0.25*14=3.5 ft²
total area white tiles=0.25*10=2.5 ft²

find <span>how many tiles 2 in by 2 in of each color will he need
1ft</span>²-------------> 144 in²
gray tiles
3.5 ft²---------------> 3.5*144=504 in²
[tiles 2 in by 2 in gray]=504/(2*2)=126 gray tiles 

white tiles
2.5 ft²---------------> 2.5*144=360 in²
[tiles 2 in by 2 in white]=360/(2*2)=90 white tiles 

the answer Part B) is
126 gray tiles
90 white tiles 



6 0
3 years ago
Read 2 more answers
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