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Scorpion4ik [409]
3 years ago
6

8 ​pairs of shoes cost ​$80. ​What is the cost of ​12 ​pairs of shoes ?

Mathematics
2 answers:
seropon [69]3 years ago
8 0

Answer:

Step-by-step explanation:

12p($80/8p)=$120

Alex3 years ago
4 0

Answer:

$120

Step-by-step explanation:

To find the cost of one pair of shoes, divide. 80 ÷ 8 = 10. Then multiply the cost of one pair of shoes by the amount. 10 × 12= 120.

Therefore, the cost of 12 pairs of shoes costs $120.

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How do I calculate residuals and residual plots? Ex: The Watsons have always kept a garden of Geometrees in their yard. The data
Umnica [9.8K]

Answer:

Complete step by step explanation along with graphs are provided below.

Step-by-step explanation:

We are given a linear regression model described by the equation,

f(x) = 1.3x + 9.2

Where x is the age in years of the Geometrees and f(x) is the corresponding height of the Geometrees.

Residual value:

A residual value shows the position of a data point with respect to the regression line.  

The Residual value is calculated by

Residual value = Observed value - Predicted value

Where observed values are already given in the question.

The predicted values are calculated as

For x = 1

F(x) = 1.3(1) + 9.2 = 1.3 + 9.2 = 10.5

For x = 2

F(x) = 1.3(2) + 9.2 = 2.6 + 9.2 = 11.8

For x = 3

F(x) = 1.3(3) + 9.2 = 3.9 + 9.2 = 13.1

For x = 4

F(x) = 1.3(4) + 9.2 = 5.2 + 9.2 = 14.4

The rest of the predicted values are calculated similarly and are given in the attached table.

Now we can find out the residual values,

Residual value = Observed value - Predicted value

Residual value = 9 - 10.5 = -1.5

Residual value = 12 - 11.8 = 0.2

Residual value = 14 - 13.1 = 0.9

Residual value = 15 - 14.4 = 0.6

The rest of the residual values are calculated similarly and are given in the attached table.

A plot of residual values vs age of Geometrees is attached.

A plot of residual values vs height of Geometrees is also attached.

Note:

A residual value closer to 0 is desired since such values means that the regression best fits the data points.

8 0
3 years ago
Which of the following theorems verifies that LMN = ABC
SpyIntel [72]

Answer:

D. LA

Step-by-step explanation:

The diagram shows two right triangles having a corresponding acute angle each which are congruent to each other. Also, the leg in ∆LMN is also congruent to the corresponding leg in ∆ABC.

This satisfy the LA Congruence Theorem. Therefore, both triangles are congruent based on the LA congreunce theorem.

4 0
3 years ago
Nando has 4 goldfish. Jill has 3 goldfish. Cooper has 2 times as many goldfish as Nando and Jill combined. Write an equation tha
nata0808 [166]
C= 2(4 + 3)

this might be too complicated but C (Cooper's goldfish) equals 2 times 4 + 3
5 0
3 years ago
Read 2 more answers
Find two positive numbers whose difference is 30 and whose product is 2584.
kvasek [131]

Answer:

38 and 68.

Step-by-step explanation:

Let x be the smaller one of the two number.

x must be a positive integer. The other number would be (x + 30).

The question states that the product of the two numbers is 2584. In other words:

x\, (x + 30) = 2584.

Rearrange this equation and solve for x:

x^{2} + 30\, x - 2584 = 0.

The first root of this quadratic equation would be:

\begin{aligned}x_{1} &= \frac{(-30) + \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= \frac{(-30) + \sqrt{900 + 10336}}{2} \\ &= \frac{(-30) + \sqrt{11236}}{2} \\ &= \frac{(-30)}{2} + \sqrt{\frac{11236}{2^{2}}} \\ &= (-15) + \sqrt{2809} \\ &= (-15) + 53 \\ &= 38 \end{aligned}.

Similarly, the second root of this quadratic equation would be:

\begin{aligned}x_{1} &= \frac{(-30) - \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= (-15) - 53 \\ &= -68\end{aligned}.

Since the question requires that both numbers should be positive, x > 0. Therefore, only x = 38 is valid.

Hence, the two numbers would be 38 and (38 + 30), which is 68.

6 0
3 years ago
Read 2 more answers
Alicia had 2/3 of a pound of berries. Alicia let her friend Jennifer eat
kakasveta [241]
Multiply 2/3 by 3/8:

(2*3/3*8 = 2/8 = 1/4)

Jennifer ate a quarter pound of berries.
8 0
3 years ago
Read 2 more answers
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