A mountain road rises 10ft for a 494 foot run. What is its slope?

Answer:

Rs 20

Step-by-step explanation:

Profit = selling price - cost price

= 150 - 130

= Rs 20

April correctly transformed the quadratic function into vertex form, and the resulting vertex is (3, 15), as determined by the completion of the square method.

April is indeed correct about the vertex of the function h(x). The vertex form of a quadratic function is h(x) = a(x - h)^2 + k, where the point (h, k) is the vertex of the parabola. April has rewritten the quadratic function h(x) = 5x^2 - 30x + 30 into vertex form as h(x) = 5(x - 3)^2 + 15, indicating that the vertex is at (3, 15). This can be verified through the completion of the square method, where a perfect square trinomial is created by adding and subtracting the appropriate constant term. April added and subtracted 9 inside the parentheses, which is (6/2)^2, to keep the equation equivalent. Finally, she factored out the coefficient of the quadratic term (5) before completing the square, which is correct.

Answer:

x = -6         x=-3

Step-by-step explanation:

To find the roots, we set it equal to zero

(x + 6)(x + 3) =0

Using the zero product  property

x+6 =0        x+3 =0

x = -6         x=-3

Answer:

x=-6,x=-3

Step-by-step explanation:

To solve this question we will have to solve one after another

(X+6)(x+3)

Let equate the equation to zero

So

(X+6)(x+3)=0

X+6=0

Substrate 6 from both sides

X=-6

X+3=0

Substrate 3 from both sides

x=-3

Therefore x=-6,x=-3

Answer:

The answer is B.

Step-by-step explanation:

The picture shows a right-angle triangle which is 90°. So you have to add up the expressions, in order to solve for x :

35° + 5x° = 90

Answer:

B.12 feet cubed

Step-by-step explanation:

We are given that

Height of prism,h=4 feet

Base of triangle,b=3 feet

Height of triangle=l=2 feet

Area of triangular base,B=[tex]\frac{1}{2}bl[/tex]

Using the formula

Area of triangular base=[tex]\frac{1}{2}\times 3\times 2=3ft^2[/tex]

Volume of triangular prism=Bh

Using the formula

Volume of triangular prism=[tex]3\times 4=12ft^3[/tex]

There is 12 cubic feet space  inside the empty  hood.

Option B is true.

Answer:

B. 12 feet cubed is correct!

Step-by-step explanation:

Hope this helps! :)

Answer and Step-by-step explanation:

samuel---> 1pc+3dr=36.75

sebastian--->3pc+12dr=138

1pc+4dr=46

1pc+4dr=46

1pc+3dr=36.75

so 1 dr=46-36.75=$9.25

4dr is 9.25×4=37

so 1 pc=46-37=$9.00

Answer:

$9.25

Step-by-step explanation:

Cost of popcorn: x

Cost of drink: y

x + 3y = 36.75

x = 36.75 - 3y

3x + 12y = 138

x + 4y = 46

36.75 - 3y + 4y = 46

y = 46 - 36.75

y = 9.25

Answer:

0.22

Step-by-step explanation:

Looking at the Venn Diagram,

the intersection "0.43" means coming via bus and having after-school activity.

"0.12" means students who does not come by bus and who does not have after-school activity.

Now, we want probability of "having after-school" activity (the area A) but NOT COMING VIA BUS (area outside B).

We want the area outside B but within A.

That area is labeled 0.22

Hence,

The probability that the student has an after-school activity and does NOT come to school by bus is 0.22

Answer:

                    principal     interest              total money in account

                                                                         at the end of year

Year one       $100             $4.5                              $104.5

year two        $200          $ 9 +$4.5                         $ 213.5

year three      $300          $ 9 +$4.5 + $13.5           $ 327

Step-by-step explanation:

Simple interest for any principal is given by

I = p* r* t/100

I = interest rate accrued on principle amount

p is the amount deposited

r is the rate of interest

t is the time period of saving

_______________________________________________

For year one

p = $100

r = 4.5%

t=1

I = 100*4.5*1/100 = 4.5

_______________________________________________

For year two $100 more is added to already existing $100 in account.

p = 100 +100 = $200

r = 4.5%

t=1

I = 200*4.5*1/100 = 9

_______________________________________________

For year two $100 more is added to already existing $200 in account after two years.

p = 100 +100 +100 = $300

r = 4.5%

t=1

I = 300*4.5*1/100 = 13.5

_______________________________________________

There fore total  money in Margo account is

$300 saving deposited by her

$4.5 + $9 + $13.5 = $27 (interest accrued in three time)

Formulating the results in tabular form

                     principal     interest    total money in account

                                                            at the end of year

Year one       100               4.5                      104.5

year two        200           9 +4.5                     213.5

year three      300           9 +4.5 + 13.5           327

Answer:

1. No.

2. No.

3. No.

4. Yes.

Step-by-step explanation:

You just need to sub in the numbers for x and y. For the first one, it is -21 - 8 > 18 which is equal to  -29 > 18, so the answer is no. For the second one, it is -21 > 18, so the answer is no. For the third one, it is -14 + 32 > 18 which is equal to 18 > 18, so the answer is no. For the fourth one, it is 56 - 36 > 18 which is equal to 20, so the answer is yes. I hope this helps, please mark me brainliest!

Answer:

Round pizza

Step-by-step explanation:

Area of the Round Pizza =[tex]49 \pi[/tex] square inches.

Area of the Square Pizza = 49  square inches.

Recall that: [tex]\pi =\frac{22}{7}[/tex]

Therefore:

Area of the Round Pizza =[tex]49 \pi=49X\frac{22}{7}=154 \:Square \:Inches[/tex]

Since 154 is greater than 49(154>49)

If Steve wants to eat more crust, he will buy the round pizza.

Answer:

For #1, the slope is [tex]\frac{2}{2}[/tex], which could also be written as 1

For #2, the slope is [tex]\frac{1}{4}[/tex]

For #3, the slope is [tex]-\frac{2}{1}[/tex], which could also be written as -2

Step-by-step explanation:

Remember, [tex]\frac{rise}{run}[/tex]

Answer:

8

Step-by-step explanation:

Total amount of boxes is 9 so divide the total number of boxes into the total granolas. So 72/9=8

Answer:

Step 1: Write an equation.  

✔ 4x + 5x = 72

Step 2: Identify and combine like terms.

✔ 9x = 72

Step 3: Use the properties of equality and inverse operations to solve the equation.

✔ x = 8

Answer:

y=(1/4)x-3

Step-by-step explanation:

To find the equation of a line, use the following equation:

y=mx+b where m is the slope (rise/run) and b is the y-intercept.

The slope of the line is 1/4 and the y-intercept is -3. Just fill it into the problem to get the answer y=(1/4)x-3. Hope this helps! :)

Answer:

432π cm² or 1356.48 cm²

Step-by-step explanation:

The area of a circle is πr²

The area of the disks are 144π and 576π.

576π-144π = 432π

432π ≈ 1356.48 cm²

To find the difference in areas of two circles, calculate the area of each circle using the formula πr² and then subtract the smaller area from the larger one. For Alice's discs with diameters 12 cm and 24 cm, the areas are 36π and 144π square cm respectively, and their difference is 108π square cm.

To find the difference in the areas of Alice's two flying disks, first we need to calculate the area of each disk. The formula for the area of a circle (or disk) is πr², where r is the radius of the circle. The radius is half of the diameter, so for the first disk, the radius is 6 cm and for the second disk, the radius is 12 cm.

The area of the first disk is π*(6 cm)² = 36π square cm. The area of the second disk is π*(12 cm)² = 144π square cm. The difference between these two areas is 144π - 36π = 108π square cm.

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Answer: -(pi)/10 radians or D on Edge

Step-by-step explanation: correct answer on edge

Answer:

[tex]6x^{2} +x + 2[/tex] cannot be factored

Step-by-step explanation:

The equation cannot be simplified so you have to use the quadratic formula

and you will get imaginary numbers from the formula

Answer:

well lets put it in terms of A B C D

so if A and B are the only ones who can drive then we can figure out this pretty easily

ABCD ABDC ACBD ACDB ADCB ADBC

so that's 6 ways

and if B Drives that gives us another 6

so together thats 12

might be wrong have not been in middle school for a while  

Hundredths as fractions and decimals is given below.

Step-by-step explanation:

To learn more about this :

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Given:

The top of the lid to a small container is in the shape of a square with a side length of 6 centimeters.

We need to determine the area of the top of the lid.

Area of the top of the lid:

The area of the top of the lid can be determined using the formula,

[tex]A=s^2[/tex]

where s is the side length of the square

Substituting [tex]s=6[/tex] in the above formula, we get;

[tex]A=6^2[/tex]

[tex]A=36[/tex]

Therefore, the area of the top of the lid is 36 cm²

Hence, Option C is the correct answer.

Answer:

12 years

Step-by-step explanation:

8 feet = 96 inches

10 feet = 120 inches

96 + 6t = 120 + 4t

2t = 24

t = 12

The student's question involves creating an exponential decay function to determine the fish population in Lake Collins after five years, given a starting population in 2001 and a 5% annual decrease. The function is N(t) = 1200e^-rt, with r being 0.05 and t being 5. The estimated fish population for the year 2006 is approximately 935.

The student is asking for an exponential decay function to model the decrease in the fish population at Lake Collins. We are given that in 2001, there were about 1,200 fish, and the fish population is decreasing at a rate of 5% per year. To model this situation, we use the exponential decay formula:

N(t) = N0e-rt

Where:

For this problem, the initial population N0 is 1,200, the decay rate r is 0.05 (since 5% is 0.05 as a decimal), and the time t we are interested in is 2006 - 2001 = 5 years. Plugging these values into the formula, we get:

N(5) = 1200e-0.05 * 5

Calculating N(5), the fish population in 2006, using the above formula:

N(5) = 1200e-0.25 ≈ 1200 * 0.7788 ≈ 935

Therefore, the estimated fish population in Lake Collins in 2006 would be approximately 935 fish.

Answer:

13,200 feet

Step-by-step explanation:

There are 5280 feet in a mile, so multiply 5280 by 2.5

5280*2.5=13,200

So, every Wednesday, she runs 13,200 feet

Hope this helps! :)

Answer:

240%

Step-by-step explanation:

240 / 100 Answer: 240%

Answer:

240%

Step-by-step explanation:

Answer:

collinear points

Step-by-step explanation:

A set of points that form a linear are called collinear points

Answer:

Step-by-step explanation:

Answer:

35x

Step-by-step explanation:

[tex]5x(f - 32) \div 9 \\ = \frac{5x(f - 32)}{9} \\ = \frac{5x(95 - 32)}{9} \\ = \frac{5x \times 63}{9} \\ = 5x \times 7 \\ = 35x[/tex]

Answer:

x= 3/2 or x=4

Step-by-step explanation:

Let's solve your equation step-by-step.

3(x−4)(2x−3)=0

Step 1: Simplify both sides of the equation.

6x2−33x+36=0

Step 2: Factor left side of equation.

3(2x−3)(x−4)=0

Step 3: Set factors equal to 0.

2x−3=0 or x−4=0

x= 3/2 or x=4