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3 years ago

(02.06)If 1 pint is equal to 2 cups, then 5 pints would equal ___ cups.

Mathematics

1 answer:

EleoNora [17]3 years ago

3 0

Answer:

If 1 pint is equal to 2 cups, then 5 pints would equal _<u>5</u>_ cups.

Step-by-step explanation:

Let's use a ratio to solve:

pints : cups

1 : 2

2 : 4

3 : 6

4 : 8

5 : 10

There would be 10 cups in 5 pints.

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In the year 2019, Lee County used approximately 55 million gallons of water. Historical trends show that each year the water dem

Harlamova29_29 [7]

Answer:

Approximately 62 gallons of water will be used by Lee County by the year 2025.

Step-by-step explanation:

The amount, in millions gallons of water, spent by Lee County, in t years after 2019, is given by the following equation:

$P(t) = P(0)(1 + r)^{t}$

In which P(0) is the amount spent on 2019 and r is the increse rate, as a decimal.

In the year 2019, Lee County used approximately 55 million gallons of water.

This means that $P(0) = 55$

Historical trends show that each year the water demand is increasing by a rate of approximately 2.1%.

This means that $r = 0.021$

$P(t) = P(0)(1 + r)^{t}$

$P(t) = 55(1 + 0.021)^{t}$

$P(t) = 55(1.021)^{t}$

Approximately how many million gallons of water will be used by Lee County by the year 2025?

2025 is 2025 - 2019 = 6 years after 2019. So this is P(6).

$P(t) = 55(1.021)^{t}$

$P(6) = 55(1.021)^{6}$

$P(6) = 62.3$

Rounded to the nearest millions

Approximately 62 gallons of water will be used by Lee County by the year 2025.

3 0

3 years ago

Find three consecutive ODD integers such that the sum of 7 times the smallest and twice the largest is -91. Name the smallest in

Illusion [34]

Answer:

<h3> -11, -9, -7</h3><h3>the smallest: 2x+1 = -11</h3>

Step-by-step explanation:

{z - some integer}

2z+1 - the smallest number

7(2z+1) - <u>seven times the smallest number</u>

2z+1+2=2z+3 - the middle number

2z+3+2 = 2z+5 - the largest number

2(2z+5) - <u>twice the largest number</u>

7(2z+1) + 2(2z+5) - the sum of 7 times the smallest and twice the largest

7(2z+1) + 2(2z+5) = -91

14z + 7 + 4z + 10 = -91

-17 -17

18z = -108

÷18 ÷18

z = -6

2z+1 = 2(-6)+1 = -12 + 1 = -11

2z+3 = 2(-6)+3 = -12 + 3 = -9

2z+5 = 2(-6)+5 = -12 + 5 = -7

5 0

3 years ago

Which system of linear equations appears to have a solution of (-1,4)?

daser333 [38]

Answer:

The 3rd graph represents the point (-1, 4) as the solution to the system of linear equations.

The correct graph is also attached below.

Step-by-step explanation:

We know when two lines meet at a certain point, the point where they meet is called the point of intersection.

We also know that the point of intersection of two lines is termed as the solution of the system of linear equations.

We are given the point (-1, 4) as the solution of the system of linear equations.

It means the two lines meet at x = -1, and y = 4.

In other words,

(x, y) = (-1, 4) is called the point of intersection of the system of linear equations.

Now, if we closely check the graph of these two lines, we can easily figure out that the 3rd from the right side is the graph that represents the solution to the system of linear equations.

The 3rd graph indicates that the two lines meet at x = -1, and y = 4.

Hence, the point of intersection of 3rd graph is:

(x, y) = (-1, 4)

Therefore, the 3rd graph represents the point (-1, 4) as the solution to the system of linear equations.

The correct graph is also attached below.

7 0

2 years ago

I went to the grocery store the other day and there were no price tags on anything! I bought 3 loaves of bread and 1 milk jug an

Lostsunrise [7]

To solve this problem, set up and solve a system of equations. The variables b and m will represent a bread loaf and milk jug, respectively:

$\left \{ {{3b + m = 9} \atop {b + 2m =5.5}} \right.$

I would solve using substitution. Take one of the equations and set it equal to one of the variables, for example:

$3b + m =9 \\ m = 9 -3b$

Now, plug this into the other equation for m and solve for b:

$b + 2m =5.5 \\ b + 2(9-3b)= 5.5 \\ b + 18 - 6b = 5.5 \\ -5b + 18 = 5.5 \\ -5b = -12.5 \\ b = 2.5$

We now know that a loaf of bread costs $2.50. Plug this value in for b in the first equation and solve for m:

$3b + m = 9 \\ 3(2.5) + m = 9 \\ 7.5+m = 9 \\ m = 1.5$

One jug of milk costs $1.50 and one loaf of bread costs $2.50.

8 0

2 years ago

Twice the sum of consecutive numbers n and n+1 is 510. What is the smaller number and the larger number?

Paha777 [63]

Answer:

n is smaller, n + 1 is larger

Step-by-step explanation:

First, make the equation.

2(n + n+1) = 510

Then, simplify.

2(2n + 1) = 510

Distribute.

4n + 2 = 510

Solve.

n = 127

The smaller number is n (127) and the larger number is n + 1 (128).

7 0

3 years ago