It takes 45 minutes to drive to the nearest bowling alley taking citystreets going 30 miles per hour (mph). How long will it take to get thereusing the freeway going 65mph if the distance is the same? (Round to the nearest minute).

Answer: Then the surface area that you should report to the hardware store is 15 ft^2.

Step-by-step explanation:

Remember that the area of a rectangle of length L and width W is

A = L*W

In this case, we can think in the door as a rectangle, where:

L = 6ft + 8in

W = 30in

Now, we know that in the hardware store they sell paint by how much covers a square foot, then we must calculate the area of the door in square feet.

Then the first step would be to replace all the units by ft.

We know that:

1ft = 12in.

Then we have that:

(1ft/12in) = 1

Then we have that:

8in = 8in*1 = (8in/12in)*1ft = 0.6... ft

(the 3 dots means that the 6 repeats infinitely)

And;

30in = 30in*1 = 30in*(1ft/12in) = 2.5ft

Then the measures of the door are:

L = 6ft + 0.6...ft = 6.6...ft

W = 2.5ft

The area will be:

A = L*W = 6.6...ft*2.5ft = 15 ft^2

Then the surface area that you should report to the hardware store is 15 ft^2.

The equation of the line that is parallel and perpendicular to y = -8x + 6 and passes through the point (7, 5) are y = -8x + 61 and  \(y = \frac{1}{8}x + \frac{33}{8}\) respectively.

The slope-intercept form is expressed as;

y = mx + b

Where m is slope and b is the y-intercept.

Given the equation of the original line:

y = -8x + 6

Using the slope intercept:

Slope m = -8

Since the desired line is parallel, it will have the same slope.

Therefore, the slope of the parallel line is also -8.

Plug in the slope m = -8 and the poin (7,5) into the point-slope form:

( y - y₁ ) = m( x - x₁ )

( y - 5) = -8( x - 7 )

Simplify

y - 5 = -8x + 56

y = -8x + 56 + 5

y = -8x + 61

The equation of the parallel line is y = -8x + 61.

For the perpendicular line:

The slope of the perpendicular line will be the negative reciprocal of -8, which is 1/8.

Hence, plug slope m = 1/8 and point (7,5) into the point-slope form:

( y - y₁ ) = m( x - x₁ )

\(y - 5 = \frac{1}{8} ( x + 7 )\\\\y - 5 = \frac{1}{8}x + \frac{7}{8} \\\\y = \frac{1}{8}x + \frac{7}{8} + 5\\\\y = \frac{1}{8}x + \frac{33}{8}\)

Therefore, the perpendicular line is \(y = \frac{1}{8}x + \frac{33}{8}\).

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The correct answer is (j - k)(x) = 10 + x.

To find the difference in the amount of money between Joel's and Kevin's accounts, we subtract the value of Kevin's account (k(x)) from Joel's account (j(x)).

(j - k)(x) = (25 + 3x) - (15 + 2x)

            = 25 - 15 + 3x - 2x

            = 10 + x

This expression represents how much more money is in Joel's account compared to Kevin's account after x weeks.

Therefore, the correct function is (j - k)(x) = 10 + x.

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Answer:

Barbara's Produce Stand has the best buy on tomatoes

Step-by-step explanation:

Average Value

We need to determine which produce stand has the best buy on tomatoes. We'll calculate the average cost of each tomato in both stands and select the one that has the lowest cost.

Al's Produce Stand sells 6 tomatoes for $0.90, The average cost per tomato is $0.90/6=$0.15

Barbara's Produce Stand sells 11 tomatoes for $1.54. The average cost per tomato is $1.54/11=$0.14

Since the latter's cost is less than the first one, Barbara's Produce Stand has the best buy on tomatoes

Answer: 18

Step-by-step explanation:

Multiply number of each item possible

3*2*3=18

The correct answer is D. No because 23 and 25 are not supplementary.

In the given diagram, it is stated that the measures of angles 23 and 27 are 45°, and the measure of angle 25 is 135°. To determine if lines C and D are parallel, we need to analyze the angles formed by these lines.

If the alternate interior angles or corresponding angles are congruent, then the lines are parallel. However, in this case, we don't have enough information about the angles formed by lines C and D to make that determination.

The fact that angle 23 and angle 27 are congruent (both measuring 45°) doesn't provide any information about the relationship between lines C and D. Similarly, the measure of angle 25 being 135° doesn't give us any insight into the parallelism of lines C and D. Therefore, we cannot conclude that lines C and D are parallel based on the given information, and the correct answer is D.

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Compound interest is the adding of interest to the principle sum of a loan or deposit. The time it will take the account to reach $980 is 5.6 years.

Compound interest is the adding of interest to the principle sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out, so that interest is received on the principal plus previously collected interest in the next quarter.,

\(A = P(1+ \dfrac{r}{n})^{nt}\)

where A is the final amount

P is the principal amount

r is the rate of interest

n is the number of times interest is charged in a year

t is the number of years

Given the initial amount in the account was $710, while the rate of interest is such that money doubles itself in 12 years. Therefore, the rate will be,

2(710) = 710(1+x)¹²

2 = (1+x)¹²

Taking log,

log₍ₓ₊₁₎2 = 12

(log 2) / log(x+1) = 12

(log 2)/12 = log(x+1)

0.025 = log (x+1)

Taking antilog,

1.059463 = x+ 1

x = 0.05946 = 5.9463%

Now, the time it will take the account to reach $980 is,

980 = 710(1+5.9463%)ⁿ

Taking Log,

\(\log_{1.059463}1.38 =n\\\\n = \dfrac{\log 1.38}{\log 1.059463}\\\)

n = 5.57956 ≈ 5.6 years

Hence, the time it will take the account to reach $980 is 5.6 years.

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Answer:

Hello! answer: x = 16

Step-by-step explanation:

16 × 16 = 256

12 × 12 = 144

256 + 144 = 400

√400 = 20 therefore x = 16 hope that helps!

Answer:

23

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

(4,5)

Hope it helps.

Do comment if you have any query.

a) The initial deposit in the account is given as follows: 1,287.39 euros.

b) The interest rate of the account is given as follows: 3%.

The equation that gives the balance of an account after t years, considering simple interest, is modeled as follows:

A(t) = P(1 + rt).

In which the parameters of the equation are listed and explained as follows:

Considering the balances after 5 and 6 years, the interest rate is obtained as follows:

r = 1524.60/1480.50 - 1

r = 0.03.

Considering the balance after 5 years, the initial deposit is obtained as follows:

P(1 + 0.03 x 5) = 1480.5

P = 1480.5/1.15

P = 1,287.39 euros.

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\(\begin{align}\sf\:\Phi_1 &= \iint_{S_1} (-2u^6\cos(v) - 2u^3\sin(v)) \, du \, dv \\ &= \int_{0}^{1} \int_{0}^{2\pi} (-2u^6\cos(v) - 2u^3\sin(v)) \, dv \, du \end{align} \\\)

Answer:

whats the options

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

she has 2 free throws

Step-by-step explanation:

Answer:

C-69%

Step-by-step explanation:

36-11=25

25/36=.694~69%

A point that lies in the middle of a line and is equally spaced from its ends is the line's midway. The formula for the line's midpoint is [(x)1 + (x)2]/2, [(y)1 + (y)2]/2 if the line's endpoints are (x)1, (y)1, and (x), (y), respectively.

Using the equations [(x)1 + (x)2]/2, [(y)1 + (y)2]/2, one may get the midway. Here, the coordinates of two points are (x), (y), (x)2, (y)2, and the midway is a location that is equally spaced from both of these positions.

The exact middle number between two numbers is referred to as the midway. The midpoint calculation is the same as the two-number average calculation. Therefore, by adding any two numbers together and dividing by two, you may find the halfway between any two integers.

The distance formula, which is derived from the Pythagorean Theorem, is employed to determine the separation between two points in the plane. The Pythagorean Theorem is based on a right triangle where the angles are a and b.

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Answer:

commutative property of multiplication

Step-by-step explanation:

The commutative property of multiplication is correct. The commutative property of multiplication is basically arranging the numbers in any way and it won't change the product.

The associative property of multiplication is arranging the numbers in parenthesis and it won't change the product either.

Answer:

We can simplify the expression as follows:

4^3 * 4^4 / 4^9

First, we can simplify the terms in the numerator by adding the exponents of 4:

4^3 * 4^4 = 4^(3+4) = 4^7

Now, we can substitute this value in the expression:

4^7 / 4^9

To divide powers with the same base, we can subtract their exponents:

4^(7-9) = 4^(-2)

Therefore, the simplified expression is:

4^3 * 4^4 / 4^9 = 4^(-2)

So, the final answer is 1/16 or 0.0625.

Answer:

10

Step-by-step explanation:

56 ÷ 7 = 8 each.

80 ÷ 8 = 10

The solution is : 1/4 is the fraction which is equivalent to the shaded area of the rectangle.

Here, we have,

Since the rectangle is divided into 8 equal parts and two parts are shaded, this simply means that 2 out of 8 parts are shaded which is 2/8.

The fraction that's equivalent to the shaded area of the rectangle will be:

2/8 = (2 × 1) / (2 × 4)

      = 1/4

The equivalent fraction is 1/4

Hence, The solution is : 1/4 is the fraction which is equivalent to the shaded area of the rectangle.

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complete question:

A rectangle is divided into 8 equal parts. Two parts are shaded. What fraction is equivalent to the shaded area of the rectangle.

Answer:

Your answer is that X=1

Answer:

The answer is 1.

Step-by-step explanation:

12x-15-4x+1 = -6

8x = 8

Therefore x = 1

Answer:

Step-by-step explanation:

19 cups of rice

The number of cups of rice that can be cooked with 29 cups of water will be 19 cups.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Here is a formula for the amount of water needed to cook rice. w = 1.5r + 0.5

Where 'w' is the number of cups of water needed 'r' is the number of cups of rice to be cooked.

The number of cups of rice that can be cooked with 29 cups of water will be given as,

29 = 1.5r + 0.5

1.5r = 28.5

r = 19

The number of cups of rice that can be cooked with 29 cups of water will be 19 cups.

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Answer:

2-1

4- 2

8-1

10-1

12-1

7-2

14-1

15-1

Answer:

hope this helps

Step-by-step explanation:

take (y2-y1) over (x2-x1) and solve for b then take one of the coordinates and plug in for x and y

Answer:

98.01 cm²

Step-by-step explanation:

→ Find the length of the other side

9.9

→ Times both lengths together

9.9 × 9.9 = 98.01 cm²

Answer: C

Step-by-step explanation:

Answer:

It is the graph of f(x) shifted 3 units left and 1 unit up.

Step-by-step explanation:

Any number inside the parentheses that is either negative or positive will do the exact opposite as stated in the equation, it is shifting 3 units to the left.  We can also assume that it shifts 1 unit up since it is + 1.

at the restauant we can choose 5 topping for a hamburger,

let us solve using combination,

we know that,

thus,

hence, there are 32 ways to pick the toppings.