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Brums [2.3K]
3 years ago
5

Phyllis paid $408 for new wall-to-wall carpeting in her living room. The carpeting was $12 per square yard, plus a $120 installa

tion charge. How many square yards did she buy?
A. 26 sq yd


B. 34 sq yd


C. 44 sq yd


D. 24 sq yd
Mathematics
1 answer:
kipiarov [429]3 years ago
3 0
.)26

y=12x+120

y=12(26)+120

y=312+120

y=432 (No)

B.)34

y=12x+120

y=12(34)+120

y=408+120

y=528 (No)

C.)44

y=12(44)+120

y=528+120

y=648 (No)

D.)24

y=12x+120

y=12(24)+120

y=288+120

y=408 (Yes)

The other way is setting it equal to...

12x+120=408

Isolate the variable...

12x+120=408
       -120   -120

12x=288

x=24
Thus (D) is you answer!

Hope this helps!
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Determine whether the sequence is geometric. If so, find the common ratio. 3.0, 6.0, 12.0, 24.0
Luba_88 [7]

Answer:

The sequence <u>is</u> geometric and the common ratio is 2

Step-by-step explanation:

A sequence is geometric if each term  (after the first one) is equal to the term before it times some constant number, called the 'common ratio'.

Examples:  1, 2, 4, 8, 16, ... has a common ratio of 2 because 2*2 = 4, and 4*2 = 8, and so on.

                 Also, -->  4, 2, 1, 1/2, 1/4/ 1/8, ... has a common ratio of 1/2 because

4 * 1/2 =  the next term 2, and 2 * 1/2 = the next trem 1/4, and son on.

In this case, 3 * 2 = 6

                    6 * 2 = 12

                    12 * 2 = 24

The sequence <u>is</u> geometric and the common ratio is 2

6 0
3 years ago
A machine is used to fill containers with a liquid product. Fill volume can be assumed to be normally distributed. A random samp
motikmotik

Answer:

There is no statistical evidence at 1% level to accept that    the mean net contents exceeds 12 oz.

Step-by-step explanation:

Given that a random sample of ten containers is selected, and the net contents (oz) are as follows: 12.03, 12.01, 12.04, 12.02, 12.05, 11.98, 11.96, 12.02, 12.05, and 11.99.

We find mean = 11.015

Sample std deviation = 3.157

a) H_0: \bar x= 12 oz\\H_a: \bar x >12

(Right tailed test)

Mean difference /std error = test statistic

\frac{11.015-12}{\frac{3.157}{\sqrt{10} } } \\=-0.99

p value =0.174

Since p >0.01, our alpha, fail to reject H0

Conclusion:

There is no statistical evidence at 1% level to accept that    the mean net contents exceeds 12 oz.

3 0
3 years ago
If the adjacent is 8, the opposite is 15, and the hypotenuse is 17. Express sin H as a fraction in simplest terms.
Serggg [28]

Answer:

\frac{15}{17}

Step-by-step explanation:

Have a nice day

5 0
3 years ago
A group of students organized a car wash for a fundraiser. The students that rate how much money they could earn from washing ca
Sonja [21]
Number 3: need more info

Number 4: is 337.5.
- first we need i\to find how much one case costs. $45/2 = $22.5
- next multiply $22.5 x 15 which gets you $337.50

Number 5: is 65%
- 100% divided by 3,100 is .03225806
- then multiply .023225806 by 1085 which gets you 35%
- but because it is asking for the remaining it is 100% - 35% which is 65%
8 0
3 years ago
Write the equation for the graph below.<br> PLEASE I NEED HELP !
mrs_skeptik [129]
Y= 1x+ 3
1x is the slope and 3 is the y intercept
I did rise over run to find the slope 3/3=1
Y is 3 because y intercept is when a line go through the y axis and it’s on 3
hope this helps!
5 0
4 years ago
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