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2 years ago

Write an expression to show the total amount in Trey's savings account after m months

Mathematics

1 answer:

sveta [45]2 years ago

5 0

Answer:

75 +25m

Step-by-step explanation:

You should add the starting amount which is 75 to the 25m and plus I got it right . lol

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Find an equation of the line containing (-3,4) and having slope -2. If this line contains the points (a,8) and (5,b), find a and

larisa [96]

Answer:

Step-by-step explanation:

Remark

The slope intercept line is written as y = mx + b in it's general form.

You can get the slope, m, immediately because it is given as -2

So far what you have is y = -2x + b

y intercept

To get the y intercept, use the point (-3 , 4)

x = - 3

y = 4

4 = -2*(-3) + b

4 = 6 + b Subtract 6 from both sides

4 - 6 = 6-6 + b

b = - 2

Line

y = -2x - 2

(a,8)

y = -2a - 2

8 = -2a - 2 Add 2 to both sides

8 +2 = -2a -2+2 Combine

10 = - 2a Divide by - 2

10/-2 = a

a = -5

(5,b)

y = -2x - 2

x = 5

y = b

b = -2*5 - 2

b = -10 - 2

b = - 12

6 0

2 years ago

Which statements about the cylinder are true? Select two

Rus_ich [418]

Answer:

The radius of the cylinder is (1/2)x units

The area of the cylinder’s base is (1/4)πx2 square units

The height of the cylinder is 4x units

Step-by-step explanation:

The complete question is

A cylinder with a base diameter of x units has a volume of πx3 cubic units.

Which statements about the cylinder are true? Check all that apply.

(1) The radius of the cylinder is (1/2)x units.

(2) The radius of the cylinder is 2x units.

(3) The area of the cylinder’s base is (1/4)πx2 square units.

(4) The area of the cylinder’s base is (1/2)πx2 square units.

(5) The height of the cylinder is 2x units.

(6) The height of the cylinder is 4x units

we know that

The volume of the cylinder is equal to

$V=\pi r^{2}h$

we have

$r=\frac{x}{2}\ units$ ----> the radius is half the diameter

$V=\pi x^{3}\ units^3$

substitute the given values in the formula of volume

$\pi x^3=\pi (\frac{x}{2})^{2}h$

solve for h

simplify

$x=(\frac{1}{4})h$

$h=4x\ units$

Verify each statement

(1) The radius of the cylinder is (1/2)x units

The statement is true

see the explanation

(2) The radius of the cylinder is 2x units.

The statement is false

Because, the radius of the cylinder is x/2 units

(3) The area of the cylinder’s base is (1/4)πx2 square units

The statement is true

Because, the area of the cylinder's base is equal to

$A=\pi r^{2}$

$r=\frac{x}{2}\ units$

substitute

$A=\pi (\frac{x}{2})^{2}$

$A=\frac{\pi x^2}{4}\ units^2$

(4) The area of the cylinder’s base is (1/2)πx2 square units.

The statement is false

Because, the area of the cylinder's base is equal to

$A=\frac{\pi x^2}{4}\ units^2$

see the part (3)

(5) The height of the cylinder is 2x units.

The statement is false

Because, the height of the cylinder is 4x units (see the explanation)

(6) The height of the cylinder is 4x units

The statement is true

see the explanation

7 0

3 years ago

Mean median mode and range,4,8,6,4,4,1,1

Artist 52 [7]

Mean: 4 [(4+8+6+4+4+1+1)/7]

median: 4 [1 1 4 4 4 6 8 the number in the middle is 4

mode: 4 [ there are 3 fours which is the most out of all the numbers]

range: 7 [8-1=7]

5 0

3 years ago

Isaiah earns $60 per week mowing lawns in the summer and shoveling driveways in the winter. He invested $220 in equipment. How l

marysya [2.9K]

Answer:

18 weeks

Step-by-step explanation:

Create an equation where x is the number of weeks he works

60x - 220 will represent his profit, since he gets $60 a week but spent $220 in equipment.

Set this equal to 860, then solve for x, to find when he will earn $860

60x - 220 = 860

60x = 1080

x = 18

So, it will take him 18 weeks to earn $860

6 0

3 years ago

Can someone please help me

nalin [4]

Answer:

I believe the answer is $24.50 for the adult tickets.

Step-by-step explanation:

104.5 minus 55.5 which is 18.5 times three gives you 49 and that divided by two gives you 24.5

7 0

3 years ago