42) According to the 2000 Census the population of Canton was 7,720. Holly Spring's population was 3,200. Canton's population increases at a rate of 80 people a year and Holly Spring's population increases by 120 people a year. Which equation may be used to determine the number of years before the populations are equal?

Answers

Answer 1

Answer: Let's construct an equation for Canton's population increase as 7220+80n and Holly Spring's population increase with 3200+120n, where n is the number of years. We have to set these equations to each other in order to find when the population of these two places are equal. 3200+120n=7220+80n and n=100.5. After 100 and half years

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What is the solution set of the equation x²+2x-24=0?

A car travels 120km at a certain speed. If the journey takes 2 1/2{Two and the half hours}, find the average speed{Let the speed be v km/h}

Answers

Answer:

48 km/h

Step-by-step explanation:

Distance = 120 km

Time = 2½ h

Speed = ?

We know that

Speed = Distance/Speed

Let,

Speed = v km/h

=> v = 120/(2½)

=> v = 120/(5/2)

=> v = 120 × 2/5

=> v = 24 × 2

=> v = 48 km/h

Average speed is 48 km/h

1.2x-4y=28 solve for y

Answers

2x -4y= 28
⇒ -4y= 28 -2x
⇒ y= (28 -2x)/ (-4)
⇒ y= 28/(-4) -(2x)/ (-4)
⇒ y= -7 + 1/2x

The final answer is y= -7 + 1/2x~

Final answer:

To solve for y in the equation 1.2x - 4y = 28, subtract 1.2x from both sides, divide both sides by -4, and simplify to get the solution y = -7 + 0.3x.

Explanation:

To solve the equation 1.2x - 4y = 28 for y, we need to isolate the y variable on one side of the equation.

Step 1: Subtract 1.2x from both sides.

Step 2: Divide both sides by -4.

Step 3: Simplify.

Step 4: The solution for y is -7 + 0.3x.

Learn more about Solving equations here:

brainly.com/question/19297665

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If C lies between A and B on AB¯¯¯¯¯¯, then AC + CB = AB. Choose the option you can logically conclude about AB¯¯¯¯¯¯. AB is a line segment. Point C is on the line segment AB. The distance between point A and C is five point five and the distance between point C and B is five point two. A. AB = 2(AC) B. AB = 11 C. AB = 10.7 D. none of the above

Answers

C. AB = 10.7

Since we know that AC=5.5 and CB=5.2, we can add them up to get get AB.

5.5+5.2=10.7

Hope this helps!

Let me know if you need anything else :)

Twice a number is equal to seven more than four times the number

Answers

$x-the\ number\n\n2x=4x+7\ \ \ \ |-4x\n\n-2x=7\ \ \ \ \ |:(-2)\n\nx=-(7)/(2)\n\nx=-3.5$

$2x=4x+7\n 2x=-7\n x=-(7)/(2)$

Rhea has two cardboard boxes in the shape of rectangular prisms. Each box has the same height and cross-sectional area as the other. Which of the following best describes the relationship between the boxes according to Cavalieri's principle?A. The boxes are congruent.
B. The surface areas of the boxes are the same.
C. The base of each box has the same perimeter as the other.
D. The volumes of the boxes are the same.

Answers

Answer:

Option D) The volumes of the boxes are the same.

Step-by-step explanation:

Given that Rhea has two cardboard boxes in the shape of rectangular prisms. Each box has the same height and cross-sectional area as the other.

Since we are given height and cross sectional area are the same, we see that the bases have same area. The dimensions need not be congruent.

Hence the boxes need not be congruent

Surface area also need not be congruent since length, width may differ for each prism

The area is the same need not imply perimeter is the same.

Hence only option d) The volumes of the boxes are the same.

is the right answer.

Option D. The volume of the boxes are the same.

The formula for the volume of a prism is the area of the base times the height.

When dividing each of the numbers $$3759$$ and $$4139$$ by some positive integer number, the remainder happened to be equal to $$16$$. What is the smallest possible value of the divisor?