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n200080 [17]
2 years ago
10

Joe has a bag of blocks. 3 red blocks and 2 blue blocks weigh 24 ounces while 1 red block and 3 blue blocks weigh 16 ounces. Def

ine your variables and set up a system of equations. DO NOT SOLVE.
Mathematics
1 answer:
fredd [130]2 years ago
3 0

Answer: 3r + 2b = 24

r + 3b = 16

Step-by-step explanation:

Let the red blocks be represented by r

Let blue blocks be represented by b

Since 3 red blocks and 2 blue blocks weigh 24 ounces. This will be:

3r + 2b = 24

1 red block and 3 blue blocks weigh 16 ounces. This will be:

r + 3b = 16

Therefore, the equation will be:

3r + 2b = 24

r + 3b = 16

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What are the coordinates of the center of a circle whose equation is (x + 7)2 + (y – 5)2 = 16?
Dafna11 [192]
Hi there! The answer is ( - 7, 5)

The standard form of the equation of a circle is the following:
(x - a) {}^{2}  + (y - b) {}^{2}  = r {}^{2}

In this equation r represents the radius of the circle and the point (a, b) is its centre.

Therefore, the centre of the circle
(x + 7) {}^{2}  + (y - 5) {}^{2}  = 16
is the point ( - 7, 5).
6 0
3 years ago
If 4 people are selected from a group of 6 married couples, what is the probability that none of them would be married to each o
Ludmilka [50]

Answer:

16/33

Step-by-step explanation:

12C4(total possible outcomes)=495

Since there are 6 married couples there must be 6*[2C2×10C2]=270

must subtracted 15 since when there are 2 couples in a group would have doubled 270-15=255

the no of groupings with no married couples 495-255 =240

probability=no of favourable outcomes /no of possible outcome

probability=240/495= 16/33

6 0
3 years ago
The value of the solid's surface area is equal to the value of the solid's volume. find the value of x. 5*6*x
velikii [3]
<h3>Given</h3>

a cuboid with length, width, height dimensions 5, 6, x

<h3>Find</h3>

the value of x that makes the numerical value of the total surface area equal to the numerical value of the volume

<h3>Solution</h3>

The volume is given by

... V = L·W·H = 5·6·x = 30x

The area is given by

... A = 2(L·W + H(L+W)) = 2(5·6 +x(5+6)) = 2(30 +11x) = 60 +22x

When these are equal, we have

... 30x = 60 +22x

... 8x = 60

... x = 7.5

The desired value of x is 7.5.

7 0
3 years ago
Eliminate the parameter to complete the statements describing the equations
Talja [164]

Answer:

A

ellipse

Step-by-step explanation:

4 0
2 years ago
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A bracelet is exactly 6.97 cm across from one side to the other, through the center. What is the approximate area of the bracele
Vadim26 [7]

Answer:

≈ 38.14 cm²

Step-by-step explanation:

Diameter of circle= 6.97 cm

Area of circle = ?

  • Area = πr² = πd²/4 =
  • 3.14*(6.97)²/4 ≈ 38.14 cm²
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3 years ago
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