The population in Utah was 2,763,888 in 2010. The number of people living in Utah in 2016 increased by 10.4% percent. What was Utah's approximate population in 2016?

Answers

Answer 1

The approximate population would be 287444.325

Answer 2

so, if we take then 2,763,888 to be the 100%, that was in 2010, then 6 years later, it went up by 10.4%, so the population in 2016 was then 100% + 10.4% that of 2010, or 110.4%.

now, if 2,763,888 is the 100%, what is the 110.4% of it then?

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 2,763,888&100\\ x&110.4 \end{array}\implies \cfrac{2,763,888}{x}=\cfrac{100}{110.4} \\\\\\ \cfrac{2763888\cdot 110.4}{100}=x[/tex]

Related Questions

The perimeter of the isosceles ABC with the base BC is equal to 40 cm. Perimeter of the equalateral BCD is 45 cm. Find AB and BC

Answers

I'm not totally sure, but just doing it in my head:
BC = 15 cm
AB = 12.5 cm

and it's spelled "equilateral" for future reference :)

Sorry, here's the explanation:

So, start with triangle ABC. You know that an isosceles triangle has a base, and two equal sides. This means that once you subtract the side BC from the perimeter, you have the length of the other two equal sides combined meaning that if you divide that by 2, you will have the length of one of the equal sides, AB for example. Moving to the equilateral triangle, BCD. You know that with equilateral triangles, all sides are equal. The perimeter is 45, and because equilateral triangles have 3 equal sides, you divide 45 by 3, getting 15. Here it might help to draw a picture, but BC is one of the sides of your equilateral triangle meaning that BC is equal to 15. Then you move back to ABC. Remember what we said before, that once you subtract BC from ABC you get the sum of the other two equal sides. So, 40 - 15 is 25. Then, because there are two equal sides, you divide 25 by 2, getting 12.5 and that's the length of your other two side, AB and AC.

What is the perimeter of a polygon with vertices at (3, 2) , (3, 9) , (7, 12) , (11, 9) , and (11, 2) ?

Enter your answer in the box. Do not round any side lengths.

Answers

Answer: 32 units

I did this lesson. it is correct, I promise

Applying the distance formula, the perimeter of the polygon that has the given vertices is calculated as: 32 units.

Recall:

Perimeter of a polygon is the sum of all its sides.Distance between two vertices having coordinates can be calculated using the distance formula given as: [tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex]

Assume the vertices of the polygon are named as:

A(3, 2) B(3, 9)C(7, 12)D(11, 9)E(11, 2)

Perimeter of the polygon = AB + BC + CD + DE + AE

Find the distance between A(3, 2) and B(3, 9) using the distance formula:

[tex]AB = \sqrt{(9 - 2)^2 + (3 - 3)^2}\\\\AB = \sqrt{7^2 + 0^2} \\\\AB = \sqrt{49} \\\\\mathbf{AB = 7}[/tex]

Find the distance between B(3, 9) and C(7, 12) using the distance formula:

[tex]BC = \sqrt{(12 - 9)^2 + (7 - 3)^2}\\\\BC = \sqrt{3^2 + 4^2} \\\\BC = \sqrt{25} \\\\\mathbf{BC = 5}[/tex]

Find the distance between C(7, 12) and D(11, 9) using the distance formula:

[tex]CD = \sqrt{(9 - 12)^2 + (11 - 7)^2}\\\\CD = \sqrt{-3^2 + 4^2} \\\\CD = \sqrt{25} \\\\\mathbf{CD = 5}[/tex]

Find the distance between D(11, 9) and E(11, 2) using the distance formula:

[tex]DE = \sqrt{(2 - 9)^2 + (11 - 11)^2}\\\\DE = \sqrt{-7^2 + 0^2} \\\\DE = \sqrt{49} \\\\\mathbf{DE = 7}[/tex]

Find the distance between A(3, 2) and E(11, 2) using the distance formula:

[tex]AE = \sqrt{(2 - 2)^2 + (11 - 3)^2}\\\\AE = \sqrt{0^2 + 8^2} \\\\AE = \sqrt{64} \\\\\mathbf{AE = 8}[/tex]

Perimeter of the polygon = 7 + 5 + 5 + 7 + 8 = 32 units.

In summary, applying the distance formula, the perimeter of the polygon that has the given vertices is calculated as: 32 units.

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The square playground has an area of 829 square feet. a fence must be built around the entire playground. what is the length of one side of the playground? answers

Answers

829/4 = 207.25. Because it is a square, all the sides will be the same length

Jackie has cheering practice on Thursday and Friday if it doesn't rain. Thursday there is a 20% chance of rain and Friday there is a 40% chance of rain. What percent chance is there that it will rain on both Thursday and Friday?

Answers

There is a 20% (or 20/100chance) it will rain on Thursday and there is a 40% (or 40/100) chance it will rain on Friday. In order to find out the probability of it raining both days, we need to multiply these two values. (40/100)(20/100)= 800/10,000= 0.08. We move the decimal over two places to get a percent, so we get an 8% chance it will rain on both Thursday and Friday.

Which equation shows y = − 12x +4 in standard form?

A. x + 2y = 8

B. 2x + y = 8

C. x + 2y = − 8

D. 2x − y = 8

Answers

Answer: The equation that shows y=-(1/2)x+4 is standard form is x+2y=8

Option A. x+2y=8

Solution:

y=-(1/2)x+4

Standard form of the equation Ax+By=C, with A, B, and C integer numbers

The coefficient of x is a fraction. To simplify the fraction, let's multiply both sides of the equation by 2:

2y=2 [ -(1/2)x+4]

2y=-2(1/2)x+2(4)

2y=-(2/1)(1/2)x+8

2y=-[(2*1)/(1*2)]x+8

2y=-(2/2)x+8

2y=-1x+8

2y=-x+8

The two variables must be on the left of the equation, then adding x both sides of the equation:

2y+x=-x+8+x

x+2y=8

This is you correct answer

Find the slope of the line.

Answers

gud pic came at least 69 times and ur slope is 3/2

fifteen more than half a number is 9

Answers

the answer is 15+1/2x+9

The answer is -12 Hope it helps!

If I could get Brainliest it would completely make my day cause I have a HUGE test coming up and I need points for answering questions :)

the length of a rectangle is 2 cm less than 7 times the width. the perimeter is 62 cm. find the length and width

Answers

Perimeter = 2(L) + 2(W) Length = 7W - 2 Perimeter = 60 60 = 14W - 4 + 2(W) 60 =16W - 4 64 = 16W Width = 4 Length = 7(4) - 2 Length = 26
I hope this helped!

Marja bicycled 7 hours a day for 14 days. She traveled 294 miles. What is her unit rate of travel per day?

Answers

3 miles per hour
21 miles per day

First multiply 7 by 14 to see how many hours she cycled for the whole trip. 98 hours.

294 divided by 98 = 3, which is the miles she cycled for an hour.

You want to know per day, 3 times 7 = 21

Final answer:

Marja's unit rate of travel per day is calculated by dividing the total miles she traveled (294 miles) by the number of days she biked (14 days). The result is 21 miles per day.

Explanation:

The question asks for the unit rate of Marja's travel per day. Unit rate refers to the amount of quantity per one unit of another quantity. In this case, we want to find out how many miles Marja bicycles in a single day.

To calculate this, we need to take the total miles she traveled (294 miles) and divide it by the total number of days she biked (14 days). So, 294 miles ÷ 14 days = 21 miles/day.

This means Marja's unit rate of travel per day was 21 miles.

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How do you write algebraic expressions to model quantities?

Answers

Let's say you are walking down the street and you see a lemonade stand. One of the workers tell you that if you buy a lemonade you will have to buy 5 times that amount to sit down and a lemonade cost $2. you order 2 lemonades. after grabbing your drink you feel like sitting down. so you go up to the stand and and attempt to purchase a seat.
5($2x2)=x
(THIS IS JUST AN EXAMPLE)

Algebraic expressions to model quantities

A businessman produces x Biscuits made up of wheat and rice daily, and another Business person produces y Snacks made up of vegetables daily.There is another person who manufactures z , drinks daily.Find total number of Biscuit,snack and Drink produced after 8 days.

So, Algebraic Expression will be

=8 x+8y+8z

As, there are three terms,so we call it Trinomial Expression.

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the length of a rectangle is twice its width. The area of the rectangle is 32 square feet. what are the length and width? which equation models this problem?
A) 32w = 2w + w
B) w - 2w = 32
C) 2w x w = 32
D) 2w+w = 32

Answers

l = 2w
area = 32
So, it is C.

The answer is C.
The area of the rectangle is its width times length. The width is w and the length is 2w.

My number is a perfect square.the only prime factorization is 2.my number is a factor of 32.the sum of its difits is odd---what is my number?

Answers

List out all of the factors to 32.
1, 2, 4, 8, 16, 32

From the list, we either have 4 or 16 as our number.
Prime factorisation for 4 is 2 x 2 and prime factorisation for 16 is 2 x 2 x 2 x 2
Thus, that doesn't help our case.

Looking at our requirement: the sum of its digits is odd.
Well, 4 can be rewritten as 0 4 and its sum is even.
The sum for 1 + 6 is obviously odd, which means that 16 is the number.

Can someone please help me with this question?

Answers

The answer to you question is yes

What are the slope and the y-intercept of the line T=14N+40

Answers

notice, the equation is already in slope-intercept form

[tex]\bf T=\stackrel{slope}{14}N\stackrel{y-intercept}{+40}[/tex]

Final answer:

The slope of the line represented by T=14N+40 is 14, and the y-intercept is 40.

Explanation:

The equation T=14N+40 is in the form y=ax+b, where a represents the slope and b represents the y-intercept. In this equation, 14 is the coefficient of N (which takes the role of x in the general form), indicating that the slope of the line is 14. The constant term is 40, indicating that the y-intercept is 40.

The sum of a number and its reciprocal is 13/6. find the number

Answers

[tex]x + \frac{1}{x} = \frac{13}{6} \text{, x} \neq 0[/tex]
[tex]x^{2} - \frac{13}{6}x + 1 = 0[/tex]
[tex]6x^{2} - 13x + 6 = 0[/tex]
[tex]6x^{2} -9x - 4x + 6 = 0[/tex]
[tex]3x(2x - 3) - 2(2x - 3) = 0[/tex]
[tex](3x - 2)(2x - 3) = 0[/tex]

So, the numbers are: 3/2 and 2/3

A rhombus has a side length of 6 units what is it’s perimeter

Answers

24 units would be your answer

Write an equation for a line perpendicular to y = 2 x + 5 y=2x+5 and passing through the point (-6,1)

Answers

I worked out the problem hope it helps

♫ I have a Brainliest♫ Math situation

Answers

13 3/4 length board needed 44.4 hours Since you need 5 lengths of 2 Âľ feet boards, multiply 2 Âľ by 5, giving 5 * 2 3/4 = 5 * 11/4 = 55/4 = 13 3/4 So the answer is 13 3/4 although technically, you'll need a board that's longer since the kerf for a saw blade is greater than 0 ( a typical saw kerf is from 1/16" to 1/8" so in reality Philly and Boston will need a board about 1/2" longer than the minimum. For the second problem, subtract the start time from the end time for each days to figure out how many hours Allison worked each day. Then sum up the hours to get the total time Allison worked. For this problem, it's easier to convert AM/PM times to 24 hour time. Basically, keep the AM times the same and add 12 hours to the PM times. So 5:13 PM - 8:03 AM = 17:13 - 8:03 = 9:10 4:49 PM - 7:58 AM = 16:49 - 7:58 = 8:51 4:41 PM - 7:46 AM = 16:41 - 7:46 = 8:55 4:50 PM - 8:23 AM = 16:50 - 8:23 = 8:27 4:32 PM - 7:31 AM = 16:32 - 7:31 = 9:01 Now add up the hours and minutes: 9:10 + 8:51 + 8:55 + 8:27 + 9:01 = 42:144 Since you can't have 144 minutes, divide the minutes by 60 to get hours and add the whole hours to the hours and the remainder will be the minutes. 144 / 60 = 2, remainder 24 So your time worked becomes 44:24 which is 44 + 24/60 = 44.4 hours. Since 44.4 isn't one of the available answers to pick from, I'd recommend talking to your teacher about the error in the problem.

Number 19. Answer to number 19) the figure shows a game...

Answers

Where is the figure?
Can you show it?

a scale drawing of a patio is shown (15 in by 14 in.). the scale is 4 inches : 6.8 feet. what are the length and width of the patio? find the patio's area.

Answers

The ratio, once you find the number of feet to 1 inch, is 1:1.7
To get your answer, multiply 1.7 by both 15 and 14 to get your answer, which is 25.5 by 23.8 ft.

A painter is paid 11 dollars per hour and can paint 8 m^2 with a roller in this time. renting a spray gun costs 5 dollars for each hour of use, and the painter can paint 20 m^2 per hour with the spray gun. it takes 1/2 an hour for the painter to clean up after using the roller, but 1 hour using the spray gun. you must pay the painter for her time and you must also pay for renting the spray gun for the total amount of time (including clean up) the spray gun was needed. how much money do you save by using the spray gun on a paint job that involves painting 40 m^2.

Answers

Painter cost when he use the roller.
40:8=5 hours for painting 40 m²
5+1/2 =5 1/2 where 1/2 is time needed for clean upthe roller
total cost is
(5 1/2)*11=55+11/2=60.5 dollars

Painter cost when he use spray gun
40:20=2 hours for painting 40 m²
2+1=3 time with the time needed for clean up the spray gun
total cost is
3*11+5*3=33+15=48 dollars

60.5-48=12.5 dollars

You save is 12 dollars 50 cents

$12.5 money do you save by using the spray gun on a paint job that involves painting 40 m²

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

A painter is paid per hour: 11 dollars

Paint with a roller in this time: 8 m²

it takes 1/2 an hour for the painter to clean up after using the roller,

Renting a spray gun costs 5 dollars for each hour of use, and the painter can paint 20 m² per hour with the spray gun.

it takes one hour for the painter to clean up after using the Spray.

We have to calculate how much we have to pay the painter for her time and you must also pay for renting the spray gun for the total amount of time (including clean up) the spray gun was needed. and how much the spray gun on a paint job that involves painting 40 m^2.

Roller

40m²/8m²=5 hrs

5hr to paint with roller.

Total time =5+0.5=5.5hrs

Amount paid=5.5×11=$60.5

40m²/20m²=2 hrs

2 hr to paint with roller.

Total time 2+1=3hr

Amount 3×11+5(3)=$33+15=$48

The saving by using the spray gun on a paint job that involves painting 40 m².

60.5-48=$12.5

Hence $12.5 money do you save by using the spray gun on a paint job that involves painting 40 m²

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40 POINTS!!!!! A submarine descends to 1/6 of its maximum depth. Then it descends another 2/3 of its maximum depth. If it is now at 650 feet below sea level, what is its maximum depth? Show your work.

Answers

Answer:

The maximum is 780.

Step-by-step explanation:

1/6x+2/3x=650

Which is: 1/6x+4/6x=650

5/6x=650

5/6x÷5/6=650÷5/6

x=650 × 6/5

x= 780

The maximum depth the submarine descends to is; 780 ft

Let the maximum depth be x.

It descends to 1/6 of max depth = (1/6)x

It descends another 2/3 of max depth = (2/3)x

After descending the depths above, it is now 650 ft below sea level. Thus;

(1/6)x + (2/3)x = 650

x(1/6 + ⅔) = 650

x(5/6) = 650

x = 6 × 650/5

x = 780 ft

In conclusion, the maximum depth is 780 ft.

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Help please practical math

Answers

Greetings!

The second option would be correct as the sales in January and June were both at $240,000, based of the graph.

Hope this helps.
-Benjamin

HELP WILLMARK BRAINLIEST.!!!!

Answers

The answer is A i'm positive I used my caculater

ramon has a rope that is 25 1/2 feet long. he wants to cut it into 6 pieces that are equal in length. how long will each piece be?

Answers

4.25. cause you didved 25.5 into 6. cause 25 1/2 turns into 25.5 as a decmail and that the way i got

Write the following in scientific notation:

1) 12 756 =

2) 116 464 =

3) 142 984 =

4) 1 392 000 =

5) 59 770 000 =

6) 903 500 000 =

7) 2 644 800 000 =

Answers

1) 1.2756 x 10^4

2) 1.16464 x 10^5

3) 1.42984 x 10^5

4) 1.392 x 10^6

5) 5.977 x 10^7

6) 9.035 x 10^8

7) 2.6448 x 10^9

1.2756 x 10⁴
1.16464 x 10⁵
1.42984 x 10⁵
1.392 x 10⁶
5.977 x 10⁷
9.035 x 10⁸
2.6448 x 10⁹
Hope this helpppped!!!! :D

Jackson has 50 megabytes (MB) of space left on his smartphone. He can download songs that each use 3.5 MB or videos that each use 7 MB. He wants to download at least 10 new media files. Which pair of inequalities specifies the number of song files, x, and the number of video files, y, that Jackson can download?

Answers

Since the amount of media files (amount of song files+amount of video files=x+y) has to be greater than or equal to 10, we have x+y≥10. Next, since each song adds 3.5MB and each video takes 7MB of space, 3.5x+7y is the total amount of MB used and must be, in total, less than or equal to 50 MB, which can be represented as 3.5x+7y≤50.
x+y≥10.
3.5x+7y≤50

Jaimi receives a $50.00 gift card to a local café. Her favorite drink at the café costs $3.75. If Jaimi buys her favorite drink every day, which algebraic expression can be used to represent the value on the gift card after d days?

Answers

50 - 3.75d would be the algebraic expression

The sales tax for an item was $7.40 and it cost $370 before tax. find the sales tax rate. write your answer as a percentage.

Answers

The sales tax for an item was $7.40 and it cost $370 before tax. find the sales tax rate. write your answer as a percentage.

2.3%

The sales tax rate is 2%.

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given that, the cost of the item is $370.

Sales tax of item is $7.40.

Let the sales tax is m%.

To find the sales tax in percentage:

Use percentage formula;

7.40 = m x 370 / 100

m = 7.40 x 100 / 370

m = 740 / 370

m = 2

The sales tax is m = 2%.

Hence, the sales tax rate is 2%.

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Which is an equation in point-slope form for the given point and slope? point: (2,- 6) -3/4 openstudy?

Answers

Point-slope form : y-y₁=m(x-x₁) ; Where m=slope

Passes through (2, -6) ; Slope = -3/4

Simply plug everything in :)

y - (-6) = -3/4(x - (-6))

Simplify.

y + 6 = -3/4(x + 6)

~Hope I helped!~

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