Aisha wants to paint the walls of a room. She knows that each can of paint contain one gallon. A half-gallon will completely cover a 55 sq ft of wall. Each of the four walls of the room is 10 feet high. Two of the walls are 10 feet wide and two of the walls are 15 feet wide. How many 1-gallon buckets of paint does Aisha need to buy in order to fully paint the room?

Answer: 7/3 or 2.333

Step-by-step explanation:

the formula for slope is y2-y1 over x2-x1

so if you apply the formula here its going to be

4-(-3) over 5-2

which is 7 over 3 therefore your slope will be

7/3

Answer:

\(m=\frac{7}{3} =2.33333... = 2.\overline{3}\)

Step-by-step explanation:

The equation that models the relationship between the number of guests, x, and the total charge, y is A. y = 450 + 125x. The base charge for a single guest is $450, and for each additional guest, the charge increases by $125. So, we add 125 times the number of additional guests to the base charge of $450.

Answer:

Domain: x \(\geq\) -5

Range: y \(\geq\) -3

Step-by-step explanation:

The domain is all the possible inputs or x value.  x will be greater than -5.

The range is all of the possible outputs or y value.   y will be greater than -3

Answer:

Domain:  [-5, ∞)

Range:  [-3, ∞)

Step-by-step explanation:

The given graph shows a continuous curve with a closed circle at the left endpoint (-5, -3) and an arrow at the right endpoint.

A closed circle indicates the value is included in the interval.

An arrow shows that the function continues indefinitely in that direction.

The domain of a function is the set of all possible input values (x-values).

As the leftmost x-value of the curve is x = -5, and it continues indefinitely in the positive direction, the domain of the  graphed function is:

The range of a function is the set of all possible output values (y-values).

From observation, it appears that the minimum y-value of the curve is y = -3. The curve continues indefinitely in the positive direction in quadrant I. Therefore, the range of the graphed function is:

Hubble's constant in units of km/s/million LY is approximately 21.47.

what is  approximately ?

Approximately means close to or nearly, but not exactly. It is used to indicate that a value or number is an estimation or approximation, rather than an exact value. It is often used when a precise value is not necessary or when the exact value is unknown or difficult to determine.

In the given question,

To convert Hubble's constant from km/s/Mpc to km/s/million LY, we need to multiply it by a conversion factor that accounts for the difference in distance units. We can use the fact that 1 Mpc is equal to 3.26 million LY:

1 Mpc = 3.26 million LY

Therefore, to convert Hubble's constant from km/s/Mpc to km/s/million LY, we can use the following conversion factor:

1 Mpc / 3.26 million LY

Multiplying Hubble's constant by this conversion factor gives:

H = 70 km/s/Mpc x (1 Mpc / 3.26 million LY) = 21.47 km/s/million LY

Therefore, Hubble's constant in units of km/s/million LY is approximately 21.47.

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Answer:

Climate indirectly affects soil formation through its influence on organisms as well. High temperatures and rainfall increase the degree of weathering and therefore the extent of soil development. Increase of rainfall increase organic matter content, decrease pH, increase leaching of basic ions, movement of clay etc.

Step-by-step explanation:

Hope this helps! :D

Answer:

length : 8 m

width : 13/2 = 6.5 m

Step-by-step explanation:

area of rectangle = l(ength)×w(idth) = 52

l = 2w - 5

=> (2w - 5)×w = 52

=> 2w² -5w - 52 = 0

we know, when transforming this quadratic equation into a multiplication of two expressions of w, that we need to have 2w and w (to make 2w²), and then which 2 numbers multiply to 52 and add to -5 (when one is multiplied by 2 due to 2w) : -13 and 4

=> (2w - 13)×(w + 4) = 0

=> 2 solutions for w :

2w-13 = 0

2w = 13, w = 13/2

w+4 = 0, w = -4

negative values for a side length of a shape do not make sense, so the only usable solution is w = 13/2

=> l = 2w - 5 = 13 - 5 = 8

The distance between point C  (-3, 3) and point D (0, -4) is equal to: √58 units.

In Mathematics and Geometry, the distance between two (2) end points that are on a coordinate plane can be calculated by using the following mathematical equation:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where:

x and y represent the data points (coordinates) on a cartesian coordinate.

By substituting the given end points into the distance formula, we have the following;

Distance = √[(0 + 3)² + (-4 - 3)²]

Distance = √[(3)² + (-7)²]

Distance = √[9 + 49]

Distance = √58 units.

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The value of square root of x + y squared + z squared is 30

x = 2, y = 3 and z = -5

\(( \sqrt{x + y} )^{2} + z ^{2} \)

substitute the value of x, y and z

\( = ( \sqrt{2 + 3} )^{2} + - 5 ^{2} \)

simplify the square root and square

\( = (2 + 3) + 25\)

\( = 5 + 25\)

\( = 30\)

Ultimately, x + y squared + z squared is 30

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Answer:

250 miles

Step-by-step explanation:

So we know that the time (t) equals 5 hours and that the rate (r) equals 50 mph. So knowing that, we can use the formula t*r=distance. We plug in the numbers and we get 250 miles.

Another way to think about this is, since we go 5 hours and 50 miles per hour, every hour we go 50 miles and we do that for 5 hours, so we go 50, 100, 150, 200, 250.  

Answer:

Same side interior angles

x=10

Step-by-step explanation:

The angles are same side  interior angles

The add to 180 degrees

6x+10 + 110 = 180

Combine like terms

6x+120 =180

Subtract 120 from each side

6x = 180-120

6x= 60

Divide by 6

6x/6 = 60/6

x = 10

Answer:

Same-Side Interior Angles

Equation: 6x + 10 + 110 = 180

x = 10

Step-by-step explanation:

Hello!

The sum of the two given angles is 180°, as they are same-side interior angles.

Equation: 6x + 10 + 110 = 180

The value of x is 10°.

Answer:

-8

Step-by-step explanation:

Spaces = A - E

Points for spinning A = + 15

Spinning any other letter = - 4

P(A) = 1/5 = 0.2 ;

P(A) = P(B) = P(C) = P(D) =P(E)

Expected probability :

P(E) = ΣX*p(x)

= (15 * 0.2) + (-4 * 0.2) + (-4 * 0.2) + (-4 * 0.2) + (-4 * 0.2) = - 0.2

Hence, playing 40 games equals :

40 * - 0.2 = - 8

Hence, 8 points is lost

Answer:

Gerald should expect the spinner to land on 3, 126 times.

Step-by-step explanation:

Because we don't know what's actually going to happen, we can determine the theoretical probability by multiplying 1/5 by 630 to get 126.

Answer:

126

Step-by-step explanation:

Given that all of the spaces are equally sized, each space has an equal chance of being landed on by the spinner. As there are 5 spaces, the probability of landing on any one space is 1/5. This means that one fifth of the number of spins are expected to land on 3.

630 × 1/5 = 126

Step-by-step explanation:

Radius (r) = 2.8 feet

circumference (c)

= 2πr

= 2 * 3.14 * 2.8

= 17.584 feet

Answer:

(9/2, 4/3) or just x = 9/2, y = 4/3. (it's the same thing)

Step-by-step explanation:

First, multiply the first equation 2x + 3y = 13 by 2, so that you get 4x + 6y = 26. Now you have the same coefficient for y. Now, subtract the second equation 6y = 8 (i simplified it first) from the first one that is doubled. After that, you would have just one equation, 4x = 18. So x = 18/4 = 9/2. Substitute x to solve for y, and you'd get 4/3.

9514 1404 393

Answer:

  (x, y) = (-6, 8 1/3)

Step-by-step explanation:

The system of equations appears to be ...

Dividing the first equation by 2 gives ...

  3x +3y = 7

Subtracting the first equation from this, we get ...

  (3x +3y) -(2x +3y) = (7) -(13)

  x = -6

Then substituting for x in the first equation, we have ...

  2(-6) +3y = 13

  3y = 25 . . . . . . . . add 12

  y = 25/3 = 8 1/3 . . . . divide by 3

The solution is (x, y) = (-6, 8 1/3).

Answer:

1/4

Step-by-step explanation:

4 skittles and one being green

Answer:

4/5

Step-by-step explanation:

According to the Wrigley's Consumer Care Department, the fruit candies are produced in equal proportions— 20% of each of the five colors (green, red, orange, yellow, and purple). However, although these candies are made in equal proportions, the individual Skittles bags are filled by weight and by machines but on average I'd say 4/5 chance its a green.

Answer:

x = t/6

Step-by-step explanation:

Answer:

34 %

Step-by-step explanation:

One standard deviation below  ( 2 months) to the mean

           covers approx 34.1 %

Average rate of change: slope

First, we have to calculate the y values, from the x values given:

x1=4

Replace on the function:

f(x)= 10 (2)^x/4

f(4)= 10 (2)^4/4

f(4)= 10 (2)^1

f(4)= 10 (2)

f(4)= 20

y1= 20

x2=12

f(12)=10 (2)^12/4

f(12)= 10 (2) ^3

f(12)= 10 (8)

f(12)= 80

y2= 80

Apply the slope formula:

Replace:

rate of change : 8.75

a) The parameter of interest is the mean weight of loaves of bread produced at the bakery. b) The evidence is the sample mean weight of the bread loaves is less than 1 pound.  c) If the P-value is less than or equal to the significance level, we would reject the null hypothesis

What is the P-value?

The P-value means the probability, for a given statistical model that, when the null hypothesis is true, the statistical summary would be equal to or more extreme than the actual observed results.

a. The parameter of interest is the mean weight of loaves of bread produced at the bakery.

The null hypothesis is that the mean weight is equal to 1 pound, and the alternative hypothesis is that the mean weight is less than 1 pound. We can express these hypotheses as follows:

H0: μ = 1

Ha: μ < 1

b. There is some evidence for the alternative hypothesis because the sample mean weight of the bread loaves is less than 1 pound.

If the null hypothesis were true (i.e., the true mean weight is 1 pound), we would expect the sample mean to be close to 1 pound.

The fact that it is less than 1 pound suggests that the new employees may be producing loaves that are too light.

c. The P-value for the test in part (a) is not given, so we cannot interpret it. However, if the P-value were given and it was less than the significance level (e.g., 0.05), we would interpret it as the probability of observing a sample mean at least as extreme as the one we obtained, assuming that the null hypothesis is true.

d. To make a conclusion at the significance level (e.g., 0.05), we would compare the P-value (if given) to the significance level.

If the P-value is less than or equal to the significance level, we would reject the null hypothesis and conclude that there is sufficient evidence to suggest that the true mean weight of the bread loaves is less than 1 pound.

If the P-value is greater than the significance level, we would fail to reject the null hypothesis and conclude that we do not have enough evidence to suggest that the true mean weight is less than 1 pound.

Hence, a) The parameter of interest is the mean weight of loaves of bread produced at the bakery. b) The evidence is the sample mean weight of the bread loaves is less than 1 pound.  c) If the P-value is less than or equal to the significance level, we would reject the null hypothesis.

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The amount (present value at age 60) that Sandro would neet in his retirement savings account in order to have a monthly income of $1,500 until he is 90 years old, compounded at 4.5% monthly is $296,041.74.

The present value is computed using an online fiance calculator that discounts the future withdrawals (monthly income) for a 360-months period.

End of withdrawal period = 90 years old

Beginning of withdrawal period = 60 years old

The number of years between 60 and 90 = 30 years

N (# of periods) = 360 months (30 years x 12)

I/Y (Interest per year) = 4.5%

PMT (Periodic Payment) = $-1,500

FV (Future Value) = $0

Results:

Present Value (PV) = $296,041.74

Sum of all periodic payments = $540,000 ($1,500 x 360 months)

Total Interest = $243,958.26

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Yes, the deviation is greater than it was in tossing them 40 times.

A standard deviation (or σ) is a measure of how widely distributed the data is in reference to the mean. A low standard deviation suggests that data is grouped around the mean, whereas a large standard deviation shows that data is more spread out.

Given:

n= 400 trials

Tossing 2 coins 400 times gives 800 trials

so, \(\sigma_1\)² = np(1- p)

        = 800 x 1/2 x 1/2

      \(\sigma_1\)  = √200

      \(\sigma_1\) = 10√2

Now, n=40

and,  \(\sigma_2\)² = np(1- p)

        = 80 x 1/2 x 1/2

      \(\sigma_2\)  = √20

      \(\sigma_2\) = 2√5

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Step-by-step explanation:

A is excluded because in the second() x² should be negative

B is excluded because if you solve it -(-x² give you + x²

C is excluded because in the second() 2x and 1 should be negative

so D is right

Answer:

Step-by-step explanation:

48-5+ 2x -7 -54 ABE 39. - x=2. 66 - 12 = 54. BC, 15. AB=5 =BC. 6x = 66. - They are. XH. Not. 2) Find the coordinates of the midpoint of the segment with the given endpoints. ... j) Concurrency of Perpendicular Bisectors of a Triangle Theorem: ... Find AE. 40. Find AD. 76. 76. Sy + 20. Find BC. 54. Find AC. 80. Find CD. 76.

Answer:

$840.77

Step-by-step explanation:

Answer:

Step-by-step explanation:

order is not important so

25 ways to fill the first spot

24 ways to fill the second

23 ways to fill the third

...

19  ways to fill the 7th

25•24•23•22•21•20•19 = 2,422,728,000

which also equals 25! / (25 - 7)!

Work Shown:

7.5% = (7.5)/100 = 0.075

7.5% of $1580 = 0.075*1580 = 118.50

The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

4x + 2(4x - 7) = -2

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

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The time that it will take Antonio to ride from school to the mall if he rides by DJ's house will be 13 minutes.

It should be noted that Antonio can ride from his

house to school in 5 minutes, from school to DJ's

house in 7 minutes, from DJ's house to the mall in

6 minutes, and from the mall to his house in

3 minutes.

Therefore, the time that it will take Antonio to ride from school to the mall if he rides by DJ's house will be:

= School to DJ + DJ to the mall

= 7 minutes + 6 minutes

= 13 minutes

Therefore, the time that it will take Antonio to ride from school to the mall if he rides by DJ's house will be 13 minutes.

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When the converted costs are compared, the earlier edition of the history book is more expensive.

The consumer price index measures the changes in price of a basket of good. It is used to measure inflation.

Converted price of the earlier edition = (CPI in 1992 / CPI in 1999) x later edition of the book

(140.3 / 166.3) x $43 = $36.28

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