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Zinaida [17]
2 years ago
10

Lucy is knitting a blanket and needs to buy some more yarn. at her local craft store, 2 skeins of yarn cost $7 and 8 skeins of y

arn cost $28. what is the constant of proportionality in this direct variation?
Mathematics
1 answer:
laila [671]2 years ago
7 0

Answer:

4

Step-by-step explanation:

Proportionality between skein values

8:2=4:1

Proportionality between cost values

28:7=4:1

The variation(both the skein values and cost values) has the constant of 4 ie the 1st skein value × 4= the last skein value & the 1st cost value × 4=the last cost value

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A central angle θ in a circle with a radius of 6.4 centimeters intercepts an arc with a length of 8 centimeters. What is the rad
vlada-n [284]
Radius of the circle = r = 6.4 cm
Length of the arc = s = 8 cm
Measure of angle formed by the arc = <span>θ = ?

The radius of the circle, arc length and the angle made by the arc at the center of the circle are related by the equation:

s = r</span><span>θ

From here we can find </span><span>θ by:

</span><span>θ = s/r

Using the values, we get:

</span><span>θ = 8/6.4
</span><span>
θ</span><span>= 1.25 radians

Thus the radian measure of the angle </span>θ made by the arc will be 1.25 radians
7 0
3 years ago
Bruno thinks he factored the GCF correctly. Do you agree<br> 12r + 18 = 3(4r + 6)
stepan [7]

Answer:

yes

Step-by-step explanation:

4 0
3 years ago
A number that is multiplied by a variable
Lady_Fox [76]
It is called a coefficient
7 0
3 years ago
Read 2 more answers
Use the distributive property to remove the parentheses.<br><br> -8(3w - u - 4)
N76 [4]
-8(3w-u-4)
-24w+8u+32
when multiplying two negatives you get a posative
5 0
4 years ago
Need Help ASAP! Provide the missing statements and reasons for the following proof. Please provide proof.
Dafna11 [192]

Answer/Step-by-step explanation:

The following shows the reasons for each step taken in proving that x = \frac{61}{9}:

Step 1:

9(x - 2) + 32 = 75 => R1: Given

Step 2: apply the subtraction property of equality by subtracting 32 from each side of the equation.

9(x - 2) + 32 - 32 = 75 -32

9(x - 2) = 43 => R2: Subtraction property of equality

Step 3: Eliminate the parentheses by applying the distributive property of multiplication

9x - 18 = 43 => R3: distributive property of multiplication

Step 4: Apply the addition property of equality by adding 18 to each side.

9x - 18 + 18 = 43 + 18

9x = 61 => R4: Addition property of equality

Step 5: Apply the division property if equality by dividing both sides by 9.

\frac{9x}{9} = \frac{61}{9}

x = \frac{61}{9} => R5: Division property of equality

8 0
3 years ago
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