Charlie solved an equation, as shown below:Step 1: 5x = 30

Step 2: x = 30 - 5

Step 3: x = 25

Is Charlie's solution correct or incorrect? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation.

Answers

Answer 1

Answer: Charlie is incorrect because he should have divided the 5. So it would x=30/5 =6. to check your work go 6x5 which equals 30.

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Given that -5 < -3, which statement is not true?-5 is to the left of -3 on the number line. -3 is less than -5, -3 > -5 -3 is to the right of -5 on the number line.
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Mrs. Meier bought 5 pounds ofcarrots for $1.75. Which represents
the same price per pound?

Answers

Answer:

0.35 cents

Step-by-step explanation:

Answer:

it is $0.35 per pound

Step-by-step explanation:

1.75/5 = 0.35

12. Find the volume of a cylinder with a diameter of 10 inches and a height of 20 inches. Use 3.14 for m. A. 705 cu. in. B. 1,570 cu. in. 62.8 cu. in. 6,280 cu. in.

Answers

it is d. 6280 cu. in.

What is the mean of Variable A? Express answer to one decimal place. Scatter plot on a first quadrant coordinate grid. The horizontal axis is labeled Variable A. The vertical axis is labeled Variable B. Points are plotted at (two, two), (two, eight), (four, three), (five, one), (six, three), (seven, five), (eight, six), (nine, two).

Answers

Variable A is x. Variable B is y. (x,y)

2 , 2, 4, 5, 6, 7, 8, 9

Mean is computed by adding all the numbers in the data set and dividing it by its count.

2 + 2 + 4 + 5 + 6 + 7 + 8 + 9 = 43

43 / 8 = 5.375 rounded to 5.4

Many bicycles have 26 inch diameter wheels. The low gear attached to your pedals has a radius of 2.2 inches. The low rear gear, driven by the chain attached to the front gear, has a diameter of 3 inches. How far does the bike travel in one rotation of the pedals, i.e. the front gear revolves once.

Answers

The circumference is 'Pi' times diameter.

So one rotation of the pedals will cause the front chain drive to complete one full turn, so it will move the chain the same distance as it's circumference.

So it will move the chain (2.2 Pi )inches. Then the back drive has a circumference of 3pi inches, but it only turns 2.2pi inches. So it turns 2.2pi/3pi = 11/15 of a full rotation. Since the wheel turns at the same rate as the back chain drive, the wheel will turn 11/15 of a full turn as well.

And since the back wheel is 26 inches in diameter, it's circumference is 26pi inches. If it turned a full rotation, it would go this distance along the ground, but it is only going 11/15 of this distance, so it is going (11/15)x 26pi =(286/15)pi inches. Or approximately 59.8997 inches.

What would my final balance be if i put $650 in the bank for 60 months with an interest rate of 6%?

Answers

Your final balance would be $2,340.

I = Prt
Percent (6%) x rate (650) x time (60 months) = 2,340

6% = 0.06

0.06 x 60 x 650 = 2,340

Final answer:

You would end up with approximately $871.89 in your bank account after investing $650 for 60 months at an annual interest rate of 6%, if the bank compounds the interest yearly.

Explanation:

In this case, we are calculating the compound interest over a certain period. The formula for compound interest is:

P = C * (1 + r/n)^(nt)

C is the initial deposit (the principal). In your case, this is $650.
The interest rate (r) is 6%. To use this in the formula, we need to convert it to decimal form by dividing by 100, so r = 0.06.
n is the number of times that interest is compounded per unit t. Since it's not stated in the question, we'll assume it is once per year.
t is the time the money is invested for in years. Converting your 60 months to years gives t = 60/12 = 5 years.

Substitute the values into the formula:

P = $650 * (1 + 0.06/1)^(1*5)

Applying mathematics, we get an approximate final balance of $871.89

Learn more about Compound Interest here:

brainly.com/question/34614903

#SPJ3

. Write the equation in slope intercept form for the line that goes through point (−10, 8) with slope =6.

Answers

y = mx + b is slope intercept form

x = -10
y = 8
m = 6

1. Solve for b

8 = (6)(-10) + b
b = 68

2. Plug m and b back into your slope intercept equation

y = 6x + 68

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