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JulijaS [17]
3 years ago
13

Please help me Fill in the blank with a variable term to make the equation true

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
3 0

Answer:

x = 6

2x+3=15

2x=12

x=6

therefore,

6x+3=15

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2 miles away one block takes 50 seconds each block is 300 ft what is the rate in ft per second
Korolek [52]

You would have to Multiply 50 by 2 and then Multiply the answer to 300.

8 0
2 years ago
A cylinder has radius r and height h. A. How many times greater is the surface area of a cylinder when both dimensions are multi
Ierofanga [76]

Answer: A. Factor 2 => 4x greater

                   Factor 3 => 9x greater

                   Factor 5 => 25x greater

Step-by-step explanation: A. A cylinder is formed by 2 circles and a rectangle in the middle. That's why surface area is given by circumference of a circle, which is the length of the rectangle times height of the rectangle, i.e.:

A = 2.π.r.h

A cylinder of radius r and height h has area:

A_{1} = 2πrh

If multiply both dimensions <u>by a factor of 2</u>:

A_{2} = 2.π.2r.2h

A_{2} = 8πrh

Comparing A_{1} to A_{2} :

\frac{A_{2}}{A_{1}} = \frac{8.\pi.rh}{2.\pi.rh} = 4

Doubling radius and height creates a surface area of a cylinder 4 times greater.

<u>By factor 3:</u>

A_{3} = 2.\pi.3r.3h

A_{3} = 18.\pi.r.h

Comparing areas:

\frac{A_{3}}{A_{1}} = \frac{18.\pi.r.h}{2.\pi.r.h} = 9

Multiplying by 3, gives an area 9 times bigger.

<u>By factor 5</u>:

A_{5} = 2.\pi.5r.5h

A_{5} = 50.\pi.r.h

Comparing:

\frac{A_{5}}{A_{1}} = \frac{50.\pi.r.h}{2.\pi.r.h} = 25

The new area is 25 times greater.

B. By analysing how many times greater and the factor that the dimensions are multiplied, you can notice the increase in area is factor². For example, when multiplied by a factor of 2, the new area is 4 times greater.

3 0
3 years ago
A group of 33 people attended a ball game. There were twice as many children as adults in the group. Set up a system of equation
hoa [83]

Answer:

1.2a+a=33

2.3a=33

3.a=11

Step-by-step explanation:

4 0
3 years ago
Domain and range of y = x2 + 9
olganol [36]

Algebra Examples

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. The range is the set of all valid y values.

3 0
2 years ago
Read 2 more answers
What is the slope of a line that is perpendicular to the line 2y – 3x = 8
tensa zangetsu [6.8K]

Answer:

The slope is 3/2 and the y intercept is 4

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

2y -3x=8

Add 3x to each side

2y-3x+3x= 8+3x

2y = 3x+8

Divide by 2

2y/2 = 3/2x +8/2

y = 3/2x +4

The slope is 3/2 and the y intercept is 4

7 0
3 years ago
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