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Zanzabum
3 years ago
12

Brian scored 1/10 of the points for his basketball team in the state championship game. Joe scored 1/4 of the points. Together t

hey scored 21 points. Write an equation to represent the situation. What was the total number of points the team scored?
Mathematics
2 answers:
irga5000 [103]3 years ago
6 0
Lets get common fractions between 1/10 and 1/4, so we now have the fractions 2/20 and 5/20. After we add them we have 7/20. If 35% (7/20) of the points scored is 21, then total points scored is 60. (21 / .35)
salantis [7]3 years ago
4 0

Answer:5

Step-by-step explanation:

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A spring has natural length 24 cm. Compare the work W1 done in stretching the spring from 24 cm to 34 cm with the work W2 done i
Scilla [17]

Answer:

From the analysis W1=W2.

they are directly related

Step-by-step explanation:

the work-done in stretching a spring can be expressed as

W=\frac{1}{2}kx^2

where k= spring constant

           x= change on length of spring

Hence for W1

Given data

x= 34-24= 10 cm

solving in terms of k we have

W=\frac{1}{2}k*10^2\\\W=\frac{1}{2}k*100\\\W=50k

Hence for W2

Given data

x= 44-34= 10 cm

solving in terms of k we have

W=\frac{1}{2}k*10^2\\\ W=\frac{1}{2}k*100\\\ W=50k

4 0
3 years ago
A random sample of 100 automobile owners in thestate of Virginia shows that an automobile is driven onaverage 23,500 kilometers
Anastaziya [24]

Answer:

a) 22497.7 < μ< 24502.3

b)  With 99% confidence the possible error will not exceed 1002.3

Step-by-step explanation:

Given that:

Mean (μ) = 23500 kilometers per year

Standard deviation (σ) = 3900 kilometers

Confidence level (c) = 99% = 0.99

number of samples (n) = 100

a) α = 1 - c = 1 - 0.99 = 0.01

\frac{\alpha }{2} =\frac{0.01}{2}=0.005\\ z_{\frac{\alpha }{2}}=z_{0.005}=2.57

Using normal distribution table, z_{0.005 is the z value of 1 - 0.005 = 0.995 of the area to the right which is 2.57.

The margin of error (e) is given as:

e= z_{0.005}\frac{\sigma}{\sqrt{n} }  = 2.57*\frac{3900}{\sqrt{100} } =1002.3

The 99% confidence interval = (μ - e, μ + e) = (23500 - 1002.3, 23500 + 1002.3) =  (22497.7, 24502.3)

Confidence interval = 22497.7 < μ< 24502.3

b) With 99% confidence the possible error will not exceed 1002.3

5 0
3 years ago
Solve the two-step equation. 14 = 31.7 – 3x
Alinara [238K]
14 = 31.7- 3x 

-17.7=-3x 

x=5.9
7 0
4 years ago
Read 2 more answers
Mary earns $5 per hour as a waitress. Last week she took home her regular earnings of $5 per hour plus $186 in tips for a total
Iteru [2.4K]

291-186=105 (total earned through wages)

105/5=21

Therefore she worked 21 hours

6 0
3 years ago
Read 2 more answers
Solve for x. x/7 - y = a<br><br> Please help as soon as possible. Thanks! =D
ololo11 [35]

Hello!

Answer:

x=7(a+y)

Step-by-step explanation:

Hope this helps!

5 0
3 years ago
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