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Nina [5.8K]
3 years ago
8

the table shows the prices for different party toy packages from the Tomtown Toy Company.Which item costs the least per toy? Exp

lain your reasoning

Mathematics
1 answer:
Mrrafil [7]3 years ago
4 0

Answer:

Dominoes costs the least per toy.

Step-by-step explanation:

From the given table it is clear that

Cost of 6-pack of Dominoes = $3.98

Cost of 1-pack of Dominoes = \frac{\$3.98}{6}\approx \$0.663

The cost of 1-pack of Dominoes is $0.663.

Cost of 12-pack of Peg Games = $9.99

Cost of 1-pack of Peg Games = \frac{\$9.99}{12}=\$0.8325

The cost of 1-pack of Peg Games is $0.8325.

Cost of 24-pack of Mini Footballs = $17.98

Cost of 1-pack of Mini Footballs = \frac{\$17.98}{24}\approx $0.75

The cost of 1-pack of Mini Footballs is $0.75.

$0.663 is less than $0.8325 and $0.75. It means dominoes costs the least per toy.

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16/x = 2/7 cross multiplication
WITCHER [35]

Answer:

x=56

Step-by-step explanation:

16 x 7= x * 2

x=\frac{16 x7}{2}

x=56

Hope this helps :)

8 0
3 years ago
A cell phone tower casts an 80-foot shadow. At the same time, a 6-foot fence post casts a shadow of 4 feet. What is the height o
AnnyKZ [126]
The height of the telephone tower is 120 feet.

The first step to solve this problem is to figure out what fraction of the height of the actual object the shadow is. We can find this by dividing the length of the shadow by the actual height.

4/6 = 2/3, meaning that the shadow is 2/3 of the actual height

Since we know that the shadow is 2/3 of the height, we can multiply by the reciprocal, 3/2, to find the actual height if we know the length of the shadow.

80 · 3/2 = 120, so the height of the telephone tower is 120 feet. 
6 0
3 years ago
A circle has its center at (0,0) and passes through the point (0,9). What is the standard equation of the circle?
vitfil [10]

Answer:

Step-by-step explanation:

I believe the answer is x² + y² = 9²

6 0
4 years ago
A set of speakers costs $22 and songs cost $1.25 each. The sales tax rate is 7.5%. The expression 0.075(22 + 1.25s) can be used
kykrilka [37]

Answer:

1.65 + 0.09s

Step-by-step explanation:

Given that :

Cost of speaker = $22

Cost per song = $1.25

Sales tax rate = 7.5%

Expression to obtain the amount of sales tax on entire purchase : 0.075(22 + 1.25s)

Expanding the expression :

0.075(22 + 1.25s)

(0.075 * 22) + (0.075 * 1.25s)

1.65 + 0.09375s

Rounding to the nearest hundredth :

Sales tax on entire purchase :

1.65 + 0.09s

4 0
3 years ago
10# A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like
ella [17]

ANSWER:

104

STEP-BY-STEP EXPLANATION:

Given:

Standard deviation (σ) = 700

Confidence level = 95%

Mean error (Eμ) = 135

We have for a confidence level of 95%:

\begin{gathered} \alpha=100\%-95\%=5\%=0.05 \\  \\ \alpha\text{/2}=\frac{0.05}{2}=0.025 \\  \\ \text{ The corresponding Z value for \alpha/2 = 0.025 is as follows:} \\  \\ Z_{\alpha\text{/2}}=1.96 \end{gathered}

Now, we calculate the minimum value of the sample size as follows:

\begin{gathered} n=\left(\frac{Z_{\alpha\text{/2}}\cdot\sigma}{E}\right)^2 \\  \\ \text{ We replacing:} \\  \\ \:n=\left(\frac{1.96\cdot 700}{135}\right)^2 \\  \\ \:n=103.2858\cong104 \end{gathered}

The minimum sample size needed is 104

3 0
1 year ago
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