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ludmilkaskok [199]
2 years ago
12

the variables y and x have a proportional relatinship and y=9 when x=2 what is the value of y when x=30

Mathematics
1 answer:
Kipish [7]2 years ago
4 0

The value of y for proportional relationship when x = 30 is y = 135.

<h3>What is proportional relationship?</h3>

Relationships among two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportionate relation, one variable is consistently equal to the other's constant value.

A "constant of proportionality" is the name of this constant.

the importance of proportional relationship are-

  • Students' grasp of numerous areas in science and maths depends on their ability to use ratios and proportions.
  • They play a crucial role in the development of slopes, uniform rate of change and other concepts and abilities that are essential to understanding and mastering algebra.

Calculation the for the value of y.

According to the question,

The variables y and x have a proportional relationship.

Where, y=9 when x=2

Thus,

y/x = 9/2

Cross multiplying the above result;

2y = 9x

The value of y when x = 30.

2y = 9×30

2y = 270

 y = 135

Therefore, the value of y when x=30 is 135.

To know more about the proportional relationship, here

brainly.com/question/2143065

#SPJ4

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B. What is the volume of the prism in cm3? Show your reasoning. If you
Anastaziya [24]

Answer:

Step-by-step explanation:

Volume of a rectangular prism is length × height × width

Length=7 1/2

Width= 15 1/2

Height=12

Volume of the prism is therefore:

7 1/2×12×15 1/2= 1395cm3

No of cubes with edge length 1/2 to fit into the prism will be:

Volume of cube is L*W*H

1/2*1/2*1/2= 1/8cm3

Therefore the no of cubes to fit into the Prism will be:

1395/(1/8)= 11160 cubes.

If one was stuck,the number of 1/2 edge length cube to fit into 1cm will be:

1/(1/8)= 8 cubes

8 0
3 years ago
Which equation represents the hyperbola in general form?
valina [46]

ANSWER

D.

9 {y}^{2}  - 4 {x}^{2}- 36y + 16x - 16 = 0

EXPLANATION

The standard equation of the hyperbola is

\frac{ {(y - 2)}^{2} }{4}  -  \frac{ {(x - 2)}^{2} }{9}  = 1

We multiply through by 36 to obtain:

9 {(y - 2)}^{2}  - 4( {x - 2)}^{2}  = 36

We now expand to get,

9( {y}^{2}  - 4y + 4) - 4( {x}^{2}  - 4x + 4) = 36

Expand :

9 {y}^{2}  - 36y + 36  - 4 {x}^{2}  + 16x - 16 = 36

To get the general form, we equate everything to zero to get,

9 {y}^{2}  - 4 {x}^{2}- 36y + 16x - 16 = 0

The correct choice is D.

7 0
3 years ago
38 ×29 use rounding to estimate each product
nydimaria [60]
38 rounds to 40.
29 rounds to 30.
40 x 30 = 120.
8 0
3 years ago
Serika has hired Tom to build her a dollhouse. The dollhouse will be a scale model of her home, and the scale will be 2 inches :
sveticcg [70]

Answer:

96 square inches

Step-by-step explanation:

The scale is 2 inches : 3 feet

Thus for 18 feet in Serika's real house, the model is 18 * (2"/3') = 12 inches

For 12 feet in Serika's real house, the model is 12 * (2"/3') = 8 inches

Area of carpeting needed in Serika's dollhouse = 12" * 8" = 96 square inches

7 0
2 years ago
The equation x2 − 6x − 27 = 0 when solved is:
Amiraneli [1.4K]

Answer:

-3 , 9

Step-by-step explanation:

Sum = - 6

Product = -27

Factors = 3, -9

x² - 6x-27 = 0

x² + 3x - 9x - 9*3 = 0

x(x + 3) - 9(x + 3)  = 0

(x + 3) (x - 9) = 0

x +3 = 0   ; x - 9 = 0

x = - 3     ; x = 9

Solution: x = -3 , 9

8 0
3 years ago
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