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Artist 52 [7]
2 years ago
10

Mrs. Gray bought 6 pairs of socks for $14.70. She later bought 5 pairs of the same socks for $12.25. Is the relationship proport

ional? If so, what is the constant of proportionality?
Mathematics
1 answer:
devlian [24]2 years ago
3 0

Answer:

yes  !

Step-by-step explanation:

$14.70/6 = $2.45

$2.45 x 5 = $12.25

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Simplify 4(b-6)+19 ?
Digiron [165]

Answer:

4b -5

Step-by-step explanation:

Perform the indicated multiplication first:  4b - 24 + 19.  Next, combine like terms, obtaining 4b -5 (answer)

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3 years ago
Arnold needs to simplify the expression below.
Lunna [17]

Answer:

0.5x7

Step-by-step explanation:

Assuming that the original expression is 4.3*3+ 11(8.2-0.5*7)-6, according to PEMDAS multiplication takes priority over addition and subtraction,, and therefore, from the choices given, 0.5 * 7 must be performed first.

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3 years ago
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Solve for x: 4(x + 2) = 3(x-2)
QveST [7]
The answerrr is 18 for thisvprblme
8 0
1 year ago
Given ∆ABC with vertices A(−4, −3), B(0, 0), C(2, −3) and ∆DEF with vertices D(3, 1), E(6, -3), F(3, −5), use the definition of
dimaraw [331]

By SSS congruency criteria ΔABC ≅ ΔDEF

<h3>What is congruency?</h3>

Two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

The given vertices of the triangles are;

ΔABC: A(−4, −3), B(0, 0), C(2, −3)

ΔDEF:  D(3, 1), E(6, -3), F(3, −5)

The lengths of the sides of ΔABC are

AB = √((0+4)² + (0+3)²) = √25 = 5

BC = √((2-0)² + (-3 - 0)²) = √13  

AC = √((2+4)² + (-3 +3)²) = √36 = 6

The lengths of the sides of ΔDEF are;

DE = √25=5

EF = √13

DF = √36 = 6

As,

AB= DE, BC = EF , AC= DF

So, By SSS congruency criteria ΔABC ≅ ΔDEF

Learn more about this concept here:

brainly.com/question/6563819

#SPJ1

6 0
2 years ago
Calculating the degrees of freedom, the sample variance, and the estimated standard error for evaluations using the t statistic
Yuliya22 [10]

Answer:

a) For the first part we have a sample of n =10 and we want to find the degrees of freedom, and we can use the following formula:

df = n-1= 10-1=9

d.9

b) s^2 = \frac{SS}{n-1}= \frac{600}{41-1}= 15

a.15

c) For this case we have the sample size n = 25 and the sample variance is s^2 =400 , the standard error can founded with this formula:

SE = \frac{s^2}{\sqrt{n}}= \frac{400}{\sqrt{25}}= 80

Step-by-step explanation:

Part a

For the first part we have a sample of n =10 and we want to find the degrees of freedom, and we can use the following formula:

df = n-1= 10-1=9

d.9

Part b

From a sample we know that n=41 and SS= 600, where SS represent the sum of quares given by:

SS = \sum_{i=1}^n (X_i -\bar X)^2

And the sample variance for this case can be calculated from this formula:

s^2 = \frac{SS}{n-1}= \frac{600}{41-1}= 15

a.15

Part c

For this case we have the sample size n = 25 and the sample variance is s^2 =400 , the standard error can founded with this formula:

SE = \frac{s^2}{\sqrt{n}}= \frac{400}{\sqrt{25}}= 80

8 0
3 years ago
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