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MAXImum [283]
2 years ago
10

Which of these expressions are equivalent to 7 1/2

Mathematics
1 answer:
jekas [21]2 years ago
5 0

Answer:

it's 7.5

Step-by-step explanation:

1/2 as a decimal is 0.5

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A child's sandbox is 5 feet wide, 4 feet long, and 3 feet deep. Grace fills the sandbox so that the sand is 2 ½ feet deep. What
8_murik_8 [283]

Answer:

the volume of sand is 50 ft^{3}

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, rectangular prism.

Given data

Length  l= 4 ft Width w= 5ft\\Height h = 3ft

if the sandbox is filled with sand of 2\frac{1}{2 } ft deep the volume of the sand in the box will be calculated based on the the depth of the sand

converting the depth of sand from mixed fraction to proper fraction we have 2\frac{1}{2} = \frac{5}{2}

the expression for the volume of a rectangular prism is

volume of sand = length * width* height

substituting our data into the expression we have

volume of sand= 5*4 * \frac{5}{2} \\volume of sand = \frac{100}{2} \\volume of sand = 50 ft^{3}

5 0
3 years ago
Brianna’s family spent $134 on 2 adult tickets and 3 youth tickets at an amusement park. Max’s family spent $146 on 3 adult tick
love history [14]
Let 
 x:adult tickets
 y:youth tickets  
 We have 
 2x+3y=134
 3x+2y=146
 Rewritting
 6x+9y=402
 -6x -4y=-292
 adding
 5y=110
 Clearing y:
 y=110/5
 y=22
 Answer:
 the price of a youth ticket is 22$
5 0
3 years ago
Does anyone get this ???
nikklg [1K]

Answer:

no. sorry. :(

Step-by-step explanation:

8 0
3 years ago
The General Social Survey asked a large number of people how much time they spent watching TV each day. The mean number of hours
DerKrebs [107]

Answer:

Yes, we can conclude that the population standard deviation of TV watching times for teenagers is less than 2.66

Step-by-step explanation:

H0 : σ² = 2.66²

H1 : σ² < 2.66²

X²c = (n - 1)*s² ÷ σ²

sample size, n = 40

Sample standard deviation, s = 1.9

X²c = ((40 - 1) * 1.9²) ÷ 2.66²

X²c = 140.79 ÷ 7.0756

X²c = 19.897

Using a confidence level of 95%

Degree of freedom, df = n - 1 ; df = 40 - 1 = 39

The critical value using the chi distribution table is 25.6954

Comparing the test statistic with the critical value :

19.897 < 25.6954

Test statistic < Critical value ; Reject the Null

Hence, we can conclude that the population standard deviation of TV watching times for teenagers is less than 2.66

8 0
3 years ago
Please help with algebra problem
kumpel [21]
Number of weekend minutes used: x
Number of weekday minutes used: y

This month Nick was billed for 643 minutes:
(1) x+y=643

The charge for these minutes was $35.44
Telephone company charges $0.04 per minute for weekend calls (x)
and $0.08 per minute for calls made on weekdays (y)
(2) 0.04x+0.08y=35.44

We have a system of 2 equations and 2 unkowns:
(1) x+y=643
(2) 0.04x+0.08y=35.44

Using the method of substitution
Isolating x from the first equation:
(1) x+y-y=643-y
(3) x=643-y

Replacing x by 643-y in the second equation
(2) 0.04x+0.08y=35.44
0.04(643-y)+0.08y=35.44
25.72-0.04y+0.08y=35.44
0.04y+25.72=35.44

Solving for y:
0.04y+25.72-25.72=35.44-25.72
0.04y=9.72

Dividing both sides of the equation by 0.04:
0.04y/0.04=9.72/0.04
y=243

Replacing y by 243 in the equation (3)
(3) x=643-y
x=643-243
x=400

Answers:
The number of weekends minutes used was 400
The number of weekdays minutes used was 243
6 0
3 years ago
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