I did 24 hours on my speed paint if i did it for 4 more days how many minutes would that be?

The diagonal of a rectangle = sqrt(w^2 + l^2)

w = width

l = length

In this problem,

The diagonal = 20 in

w = x

l = 2x + 8

Let's plug our numbers into the formula above.

20in = sqrt((x)^2 + (2x + 8)^2)

Let's simplify the inside of the sqrt

20 in = sqrt(5x^2 + 32x + 64)

Now, let's square both sides.

400 = 5x^2 + 32x + 64

Subtract 400 from both sides.

0 = 5x^2 + 32x - 336

Factor

0 = (5x - 28)(x + 12)

Set both terms equal to zero and solve.

x + 12 = 0

Subtract 12 from both sides.

x = -12

5x - 28 = 0

Add 28 to both sides.

5x = 28

Divide both sides by 5

x = 28/5

The width cant be a negative number so now we know that the only real solution is 28/5

Let's plug 28/5 into our length equation.

Length = 2(28/5) + 8 = 56/5 + 8 = 96/5

In conclusion,

Length = 96/5 inches

Width = 28/5

Answer:

A. 2

Step-by-step explanation:

When adding two numbers, you are combining their values.

In this problem, you are combining the value of 1 with the value of 1. When you combine them, you are saying that you have two 1's. So in this problem, you combine both ones and get a final answer of 2.

Answer:

5.4 & 5.4

Step-by-step explanation:

CD²=5²+2²=29

CD=AB=5.4

Answer:

C) 5.4 and 5.4

Step-by-step explanation:

CD: 5²+2²=c² = 25+4=c² = 29=c² = c=√29 = 5.4

AB: 5²+2²=c² = 25+4=c² = 29=c² = c=√29 = 5.4

Answer:

bank account one is the answer

Step-by-step explanation:

bank account one is the answer

Hope it helps

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Problem number 4 is solved by the equation 1.75 + (-1.75).

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

In problem number 4, the question is the number Sam deposited in the amount of $1.75 and then purchased a movie ticket for $1.75.

The account balance will be represented by the equation.

Account = 1.75 + (-1.75)

The actual account balance will become zero.

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Answer:

63

Step-by-step explanation:

The result of accounting root is a fortified number

63²= 3969

Answer:

100 Adults and 164 Children

Step-by-step explanation:

To solve this we will need to write two equations to solve for the two unknowns. Firstly, we know that tickets are 20 for children and 35 for adults, and that the total price was 6780. We can write an expression to represent this. 6780 is the total price, this also means it is the price of all the adults + the price of all the children. The total price of the adults tickets is the price of each ticket multiplied by the number of adults, so the total price of adult tickets can be represented by: 35A, 35 being the ticket price per adult, and A being the number of adults. Similarly the total children's price can be expressed as such: 20C, 20 being the price per child, and C being the number of children. Since we know that these two values total to 6780, we can now form an equation:

35A (total adult price) + 20C (total children price) = 6780

35A+20C=6780

Now we need another expression so we can substitute for one of the values. The other piece of information we are given, is that a total of 264 people entered the park. This means that the total number of adults + the total number of children = 264. Since we already have variables for the numbers of adults and children we now have our second equation:

A (number of adults) + C (number of children) = 264

A+C=264

Now we can use this second equation to substitute for one of the values in the first equation. Let's substitute for children:

If we rearrange the second expression we will get:

A+C-A=264-A

C=264-A

So now we substitute this expression into our first formula:

35A+20C=6780

C=264-A

35A+20(264-A)=6780

Now since we only have one unknown, we can simplify, expand and solve!

35A+20*264-20*A=6780

35A+5280-20A=6780

35A-20A+5280-5280=6780-5280

15A=1500

15A/15=1500/15

A= 100

A total of 100 adults were admitted.

Now we can use the number of adults to find the number of children using our second formula:

C=264-A

C=264-100

C=164

And there we are! A total of 100 adults and 164 children were admitted.

Hope this helped!

Answer:

34²/7

Step-by-step explanation:

Take the dam to be a take and the exit of the dam to be a tap at the bottom which is used to empty the tank and the river to be a pipe at the top of the tank that is used to fill the tank

The tap takes 16 week to empty the tank how much will it empty in 1 week =¹/16

The pipe takes 30 week to fill the tank how much will it fill in 1 week =¹/30

¹/16-¹/30= ?

Get the LCM of the denominator which is 240

The fractions are now

15/240-⁸/240=⁷/240

1week=⁷/240 empty

? = 240/240 empty

Cross multiple

240/240×1÷7/240

240/240×1÷240/7=240/7

7÷240=34²/7 weeks

Answer:

Step-by-step explanation:

Y2-y1 , x2-x1

7-3=5

10-(-1=11

5/11 so y=5/11x is the answer

Answer:

Y= 1x+-3

Step-by-step explanation:

Answer:

x =5

Step-by-step explanation:

[tex]7x + 15 - 9x = 5\\\\\mathrm{Group\:like\:terms}\\7x-9x+15=5\\\\\mathrm{Add\:similar\:elements:}\:7x-9x=-2x\\-2x+15=5\\\\\mathrm{Subtract\:}15\mathrm{\:from\:both\:sides}\\-2x+15-15=5-15\\\\Simplify\\-2x=-10\\\\\mathrm{Divide\:both\:sides\:by\:}-2\\\frac{-2x}{-2}=\frac{-10}{-2}\\\\Simplify\\x = 5[/tex]

Since +(-) becomes (-) we can write the given problem as

15.6-1.8

Subtraction gives us 13.8

:)

Answer:

A

Step-by-step explanation:

It would be "a" because the x points are all different, as seen on the others they all have at least one similar x.

Answer:

the answers not B THE ANSWER IS C

Step-by-step explanation:

C. Justice John Roberts On September 5, 2005, President George W. Bush announced that he would nominate Judge John Roberts for the position of Chief Justice of the Supreme Court of the United States, to succeed William H. Rehnquist, who had died two days earlier.

Answer:

C

Step-by-step explanation:

yep

Answer:

It's 3.

Step-by-step explanation:

3x2=6

3x4=12

3x5=15

Answer:27.85

divide 55.8 by 100 and you get 0.558 and then multiply that by 25 which is 13.95 and then add that with 14 dollars.That equals 27.95 dollors for kelly and renee and then lastly subtract the 27.95 dollars from the total amount of the price to get phyllis's price

It's D 400 gallon of paint were used

B is the given info after your A (event has happened)

RESULT:

P(B/A)= B given when A happens

Answer:

24 miles.

Step-by-step explanation:

Jackie traveled four times as many miles by bus as by foot. This means that the number of miles travelled by bus is 4 units, and the number of miles travelled by foot is 1 unit.

Jackie traveled three times as many miles by train as by bus. We know that the number of miles travelled by bus is 4 units, so the number of miles travelled by train is [tex]4\times3=12[/tex] units.

Total number of units: [tex]12units+4units+1unit=17units[/tex]

[tex]17units=34[/tex]

Divide 17:

[tex]1 unit=2[/tex]

The number of miles travelled by train is 12 units:

[tex]12units=2\times 12=24[/tex]

She travelled 24 miles by train.

Answer:

24 miles

Step-by-step explanation:

Statement of the given problem,

On her way to her grandmother's house, Jackie traveled three times as many miles by train as by bus. She traveled four times as many miles by bus as by foot. If Jackie traveled 34 miles in all, how many miles did she travel by train?

Let T, B & F denote the distances (in miles) traveled by train, bus & foot respectively.

Hence from above data we get following relations,

T = 3*B

or B = T/3

B = 4*F

F = B/4 = T/3/4 = T/12

T + B + F = 34

or T + T/3 + T/12 = 34

or 17*T/12 = 34 or T = 12*34/17 = 24 (miles) [Ans]

Answer:

The area of surface is [tex]\dfrac{2}{3}(10^{\frac{3}{2}}-1)\pi[/tex]

Step-by-step explanation:

Given that,

The equation of cylinder is

[tex]x^2+y^2=9[/tex]

The part of the surface z = xy

The coordinates is,

[tex]z_{x}=y[/tex]

[tex]z_{y}=x[/tex]

We need to calculate the value of ds

Using formula of ds

[tex]ds=\sqrt{1+z_{x}^2+z_{y}^2}dA[/tex]

Put the value in to the formula

[tex]ds=\sqrt{1+y^2+x^2}dA[/tex]....(I)

We know that.

The polar coordinates,

[tex]x=r\cos\theta[/tex]

[tex]y=r\sin\theta[/tex]

The general equation of cylinder is

[tex]x^2+y^2=r^2[/tex]

compare from given equation

[tex]x^2+y^2=3^2[/tex]

0<=θ<=2π, 0<=r<=3

Area element in polar coordinates is,

[tex]dA=r dr d\theta[/tex]

Put the value of dA in equation (I)

[tex]ds=\sqrt{1+r^2}r dr d\theta[/tex]....(II)

We need to calculate the area of surface

Using equation (II)

[tex]s=\int_{0}^{2\pi}\int_{0}^{3}\sqrt{1+r^2}r dr d\theta[/tex]

[tex]s=\int_{0}^{2\pi}\dfrac{1}{3}((1+r^2)^{\frac{3}{2}})_{0}^{3}d\theta[/tex]

[tex]s=\int_{0}^{2\pi}\dfrac{1}{3}((1+3^2)^{\frac{3}{2}}-(1+0^2)^{\frac{3}{2}})d\theta[/tex]

[tex]s=(\dfrac{1}{3}((10)^{\frac{3}{2}}-1)\theta)_{0}^{2\pi}[/tex]

[tex]s=\dfrac{1}{3}(10^{\frac{3}{2}}-1)(2\pi-0)[/tex]

[tex]s=\dfrac{2}{3}(10^{\frac{3}{2}}-1)\pi[/tex]

Hence, The area of surface is [tex]\dfrac{2}{3}(10^{\frac{3}{2}}-1)\pi[/tex]

Answer:

No, the brain volume of 1405.9cm³ would not be significantly high.

Step-by-step explanation:

We would use the Empirical rule to determine the answer for this question.

The empirical rule - formula states that:

a) 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ

b) 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ

The question asks us to use the given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or significantly high.

The range rule of thumb tells us that the range is four times the standard deviation. So we say that the usual values will be 2 standard deviations away from the mean of the data distribution.that the values are usually within 2 standard deviations from the mean.

Hence, μ = mean =1162.5 cm³

σ = Standard deviation = 126.7 cm³

μ – 2σ

1162.5 cm³ - 2(126.7 cm³)

= 1162.5 cm³ - 253.4 cm³

= 909.1cm³

μ + 2σ

1162.5 cm³ + 2(126.7 cm³)

= 1162.5 cm³ + 253.4 cm³

= 1415.9cm³

From the calculation above, we can see that for such​ data, 1405.9 cm³ is within the lower limits of 909.1 cm³ and the higher limits of 1415.9 cm³. Therefore the brain volume of 1405.9 cm³ would not be significantly high.

Answer:

Midpoint of a line segment

(xM,yM) = (4, 5).

Answer:

I think it's point (1.5,2).

Step-by-step explanation:

3 ÷ 2 = 1.5

4 ÷ 2 = 2

Answer:

3,800

Step-by-step explanation:

Rounding something means going up or down basically. To the nearest hundred means rounding up or down until the number is exactly 100, 200, 300, etc.. If it's 50 or higher it'll always be rounded up. so 760 is rounded to 800 as "60" is higher than "50."

Hope this helps and have a nice day!

Answer:

3,800

I hope this helps!

Answer:

It's distributive property.

Hey there!

[tex]Answer:\boxed{y<-3}[/tex]

[tex]Explanation:[/tex]

[tex]9-y>12[/tex] Inequality

Let's start by simplifying both sides of the inequality.

[tex]-y+9>12[/tex]

Now subtract 9 from both sides.

[tex]-y+9-9>12-9\\-y>3[/tex]

Now divide both sides by -1.

[tex]\frac{-y}{-1}>\frac{3}{-1}[/tex]

[tex]y<-3[/tex]

Hope this helps!

Answer:

Anurak has 15 pennies, 6 nickels and 3 dimes.

Step-by-step explanation:

We must have these informations in mind:

1) A penny is a 1-cent coin.

2) A dime is a 10-cent coin.

3) A nickel is a 5-cent coin.

Let be [tex]x[/tex], [tex]y[/tex], [tex]z[/tex] the quantities of pennies, nickels and dimes, respectively. From statement we get that to value in Anurak's pocket is represented by this mathematical expression:

[tex]0.01\cdot x + 0.05 \cdot y + 0.10\cdot z = 0.75[/tex] (Eq. 1)

In addition, we get the following identities:

i) He has three more nickels than dimes

[tex]z + 3 = y[/tex] (Eq. 2)

ii) And five times as many pennies as dimes

[tex]x = 5\cdot z[/tex] (Eq. 3)

The system of linear equations is now reduced: (Eqs. 2, 3) in (Eq. 1)

[tex]0.05\cdot z +0.05\cdot z + 0.15 + 0.10\cdot z = 0.75[/tex]

[tex]0.20\cdot z = 0.60[/tex]

[tex]z = 3[/tex]

The remaining variables are [tex]y = 6[/tex] and [tex]x = 15[/tex].

Anurak has 15 pennies, 6 nickels and 3 dimes.

Answer:

Anurak has 15 pennies, 6 nickels and 3 dimes.

Step-by-step explanation:

Answer:

Step-by-step explanation:

y + 3 = 7(x - 1)

y  + 3 = 7x - 7

y = 7x - 10

how many solutions does the following equation have [tex] 8u+3(1/3u-6)=9u+2u+12[/tex]

Without even working out anything we can easily tell the answer is [tex]1[/tex] because the degree of the equation is one.

If you haven't learned this yet let me know and I will post the manual work.

:)

Answer:

  1 solution

Step-by-step explanation:

When put in general form, the coefficient of u is non-zero, so there is 1 solution.

  0 = 9u +2u +12 -(8u +3(1/3u -6))

  0 = 11u +12 -8u -3(1/3u -6)

  0 = 3u +12 -u +18

  0 = 2u +30 . . . general form equation

  0 = u +15

  -15 = u . . . . . one solution

The distance between Spearfish and Madison is 390 miles.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is a mileage chart.

Assume that the distance between Spearfish and Madison is [x] miles.

Then the point of intersection of Spearfish row and Madison column would give the distance between both of them as 390 miles. So, we can write -

x = 390 miles

Therefore, the distance between Spearfish and Madison is 390 miles.

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Answer: the greatest number of trees that ElizaBeth can have in a row is 30

Step-by-step explanation:

given data:

citrus trees = 150

palm trees = 180

As we have to find the greatest number of trees that Elizabeth can have in a​ row, we will find the GCF or greatest common factor.

150 = 2 x 3 x 5 x 5

180 = 2 x 2 x 3 x 3 x 5

Greatest common factor is = 2 x 3 x 5 = 30

Therefore, the largest number of trees that ElizaBeth can have in a row is 30.