Marissa is 7 years older than Mark. The sum of their ages is 59. How old are Marissa and Mark?
(A) First write an equation you can use to answer this question. Use x as your variable.
The equation is __________
Answer: Mark is ___________
and Marissa is ________

Answer:

55 inches = 4 feet 7 inches

Step-by-step explanation:

As we know 12 inches = 1 feet

so, 55 inches = 55÷12

4 feet 7 inches

Answer:

55 inches=4 feet 7 inches

Hope it helps

Answer:

Step-by-step explanation:

(x+7)/2= -8

x + 7 = -16

x= -23

(y + 1)/2 = -9

y + 1 = -18

y = -19

(-23, -19)

The correct answer is D: A and B ( Accounts receivable and cost goods )

Accounts receivable represents the amount of money owed to a company by its customers for goods or services that have been delivered but not yet paid for. As sales increase, the amount of accounts receivable also tends to increase since more customers will have outstanding balances.

Cost of goods sold (COGS) represents the direct costs associated with producing or purchasing the goods that are sold by a company. It includes the cost of raw materials, labor, and other direct expenses. As sales increase, the COGS also tends to increase since more goods are being produced or purchased for sale.

COGS is directly influenced by the level of sales because it is tied to the inventory turnover. When goods are sold, their associated costs are transferred from the inventory account to the COGS account. As sales increase, more goods are sold, and therefore, more costs are transferred to COGS.

COGS is calculated by subtracting the ending inventory value from the sum of the beginning inventory and the purchases made during a specific period. It is a key component in determining a company's gross profit and gross profit margin, which are important indicators of profitability.

On the other hand, administrative salaries (option c) typically do not vary directly with sales. Administrative salaries are usually fixed expenses that are paid to employees for their administrative roles regardless of the level of sales.

Therefore, the correct answer is option d. A and B, as both accounts receivable and cost of goods sold vary with sales.

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Answer:

Approximately 42 credits

Step-by-step explanation:

First you need to find the amount she makes for one week. Multiply 15 by 20: $375.00

Second find how much she makes for those 25 weeks: 375*25: 65,625

Third according to socialsecurityintelligence.com, in 2021, one credit for each $1,470 of earnings. To a maximum of 4 credit per year.

So for a year she earned 4 credits but not considering the limit, she earned 42.85 credits.

The statement "lines drawn at intervals to designate the respective heights of each line above sea level are called contour lines" is true.

Let's dive into the main answer and include the rest of the requirements.

Contour lines are also known as isolines, which are lines that link points of equal elevation or height. They show the height and shape of the terrain on a topographic map and are drawn at equal intervals above sea level.

The closer the contour lines are to one another, the steeper the terrain is. On the other hand, the farther apart they are, the flatter the terrain is.

Contour lines are used in cartography, which is the art and science of map-making. They are used to create topographic maps, which depict the physical features of the earth's surface in detail, such as hills, valleys, rivers, lakes, and so on.

To create a contour map, surveyors begin by taking precise measurements of the elevation or height of the land at various points using a device known as a theodolite.

They then connect the dots or points with contour lines, which are drawn at equal intervals above sea level.A contour interval is the vertical distance between two adjacent contour lines.

The contour interval on a map is determined by the scale of the map and the degree of accuracy required. For example, a map of a mountainous region might have a contour interval of 50 feet or less, whereas a map of a flat region might have a contour interval of 200 feet or more.

A key or legend on the map explains the meaning of the contour lines and their intervals.

Therefore, the statement "lines drawn at intervals to designate the respective heights of each line above sea level are called contour lines" is true. Contour lines are an essential component of topographic maps, which depict the physical features of the earth's surface in detail.

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Step-by-step explanation:

5. 6x-8=9x+4

6x - 9x = 4+8

-3x = 12

x = -4

check, 6(-4) - 8=9(-4) + 4

-24-8 = -36+4

-32 = -32

6. 5a - 10 = 9a - 6

5a-9a = -6+10

-4a = 4

a = -1

check, 5(-1) -10 = 9(-1) -6

-5-10 = -9-6

-15 = -15

7. 8m-24 = 9-3m

8m + 3m = 9+24

11m = 33

m = 3

check, 8(3)-24 = 9- 3(3)

24-24 = 9-9

0 = 0

8. 10- 3z = z + 30

10-30 = z +3z

-20=4z

-5 = z

check, 10 - 3(-5) = (-5)+30

10+15 = 25

25=25

9. 3k - 14 = 10 +5k

3k - 5k = 10+14

-2k = 24

k = -12

check, 3(-12)-14 = 10+5(-12)

-36-14 = 10-60

-50 = -50

10. 6c + 8 = 2c -16

6c - 2c = -16-8

4c = -24

c = -6

check, 6(-6)+8 = 2(-6) - 16

-36 + 8 = -12 - 16

-28 = -28

1 standard deviation =  8 inches. the answer is OPTION E

We know that 99.7% of American men have heights between 5'0" and 7'0". Since height is normally distributed, we can use the empirical rule to estimate the standard deviation.

According to the empirical rule, 99.7% of the data falls within 3 standard deviations of the mean. Therefore, we can say that the range of heights from 5'0" to 7'0" is 3 standard deviations.

We can use this information to estimate the standard deviation as follows:

Range of heights = 7'0" - 5'0" = 2 feet

3 standard deviations = 2 feet

1 standard deviation = 2/3 feet

1 foot = 12 inches

Therefore, 1 standard deviation = 2/3 * 12 inches = 8 inches

So, our estimate of the standard deviation of the height of American men is 8 inches. Therefore, the answer is OPTION E in the given options.

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Complete question

If the heights of 99.7% of American men are between 5'0"

and 7'0", what is your estimate of the standard deviation of

the height of American men? (Assume the heights of

American Men are Normally Distributed).

A.) 1"

B.) 2"

C.) 4"

D.) 6"

E.) 8"

It is unlikely that the projected rebounds in 15 shots will actually happen.

Total shots fired equals 10.

To find that there were 15 shots total.

Consider S to be the likelihood that your team will rebound and miss a shot.

P(S) = Number of rebounds / Total Number of outcomes

P(S) = 7/15

P(S) = 0.46

Consequently, it is unlikely that the projected rebounds in 15 shots will actually happen.

Thus, it is unlikely that the projected rebounds in 15 shots will actually happen.

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The complete question is-

During a basketball game, you record the number of rebounds from missed shots for each team.  How many rebounds should your team expect to have in 15 missed shots?

Picture for question is attached.

Step-by-step explanation:

The root is

-sqr root of 5.

First, we put these roots in the forn of

\((x - a)\)

where a is the root

So we have

\((x - ( - 2))(x - \sqrt{5} )(x - \frac{10}{3} )\)

\((x + 2)(x - \sqrt{5} )(3x - 10)\)

\((3 {x}^{2} - 4x - 20)(x - \sqrt{5} )\)

To get rid of that square root, let have another root that js the conjugate posive root of 5.

\((3 {x}^{2} - 4x - 20)(x - \sqrt{5} )(x + \sqrt{5} )\)

\((3 {x}^{2} - 4x - 20)(x {}^{2} + 5)\)

Which will gives us a rational coeffeicent of degree 4.

Why we didn't do

\((x - \sqrt{5} )\)

?

Because

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

If we foiled out we will still have a irrational coeffceint.

Karl traveled 420 kilometers by the time he had 200 liters of fuel remaining in his truck.

Why it is and what is distance?

To determine the distance Karl traveled by the time he had 200 liters of fuel remaining in his truck, we need to examine the graph provided.

From the graph, we can see that when the fuel remaining in the truck tank is 200 liters, the corresponding distance driven is approximately 420 kilometers.

Therefore, Karl traveled 420 kilometers by the time he had 200 liters of fuel remaining in his truck.

Distance is the physical length between two points or objects. It is a scalar quantity that measures the amount of space between two locations, without regard to the direction of travel. Distance can be measured in various units such as meters, kilometers, miles, and so on.

In physics, distance is often distinguished from displacement, which is a vector quantity that measures the change in position of an object relative to its starting point.

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After checking all possible arrangements, we find that there are 8 arrangements that satisfy the given condition.

An octagon is a polygon with eight sides and eight angles. The word "octagon" is derived from the Greek words "okto" meaning "eight" and "gonia" meaning "angle". An octagon has a total of 8 vertices, which are the points where the sides of the polygon intersect. The sum of the interior angles of an octagon is 1080 degrees. Each angle in a regular octagon (where all the sides and angles are equal) measures 135 degrees. Octagons can be found in many different contexts, such as in architecture, design, and geometry. They are commonly used in the construction of buildings, as well as in art and decorative motifs. In geometry, octagons are used as an example of a regular polygon, and their properties and characteristics are often studied as part of a larger exploration of polygons and their geometric properties.

Here,

To solve this problem, we can start by noting that the sum of the numbers on lines AJE, BJF, CJG, and DJH must be equal, and each line contains two vertices and the center of the octagon. Therefore, the sum of all the numbers associated with the vertices and the center of the octagon must be a multiple of 4. Since we have nine digits to choose from, we can start by selecting the number to be placed at the center of the octagon. There are 9 options for this choice. Let's assume that the number at the center is X. Now we can place the numbers around the octagon in a clockwise direction, starting with vertex A. There are 8 options for this first vertex. The vertex adjacent to A, B, must then be assigned one of the remaining 8 digits. The next vertex, C, must be assigned one of the remaining 7 digits, and so on. Once we have assigned numbers to the vertices, the sum of the numbers on each line can be calculated as 3 times the value at the center plus the sum of the values at the vertices. Since the sum of the numbers on each line must be equal, we can write the following equation:

3X + A + B = 3X + B + C = 3X + C + D = 3X + D + E

Simplifying this equation, we get:

A - E = B - A = C - B = D - C = E - D = X

Therefore, the difference between any two consecutive vertices must be the same, and this common difference must be equal to the value at the center of the octagon. Since we have 8 options for the first vertex, and once we have chosen the first vertex, the rest of the vertices can be determined uniquely, there are a total of 8! = 40,320 possible arrangements of the digits on the octagon. However, not all of these arrangements satisfy the condition that the sum of the numbers on each line is equal. We can eliminate arrangements that do not satisfy this condition by checking the differences between consecutive vertices, as described above. After checking all possible arrangements, we find that there are 8 arrangements that satisfy the given condition.

Therefore, the answer is 8.

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Answer:

19.5 km

Step-by-step explanation:

the actual distance between Harry and the Sea view:

if 24 km is 5 cm on map

24*4/5= 19.5 km

The statement ''the formula for finding the surface area of a cylinder is sa = πr2 πrh.'' is false because the formula for finding the surface area of a cylinder is given by: SA = 2πrh + 2πr^2 , where SA represents the surface area, r is the radius of the base, and h is the height of the cylinder.

The first term, 2πrh, represents the area of the curved surface of the cylinder (the lateral surface area), which is a rectangle that wraps around the cylinder. It is calculated by multiplying the height of the cylinder by the circumference of the base.

The second term, 2πr^2, represents the areas of the two circular bases of the cylinder.

By adding these two terms together, we obtain the total surface area of the cylinder.

Therefore, the correct formula for finding the surface area of a cylinder is SA = 2πrh + 2πr^2.

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The perimeter of triangle JKL is  determined as 68 units.

The perimeter of triangle JKL is calculated as follows;

The perimeter of triangle JKL is the sum of all the distance round the triangle.

Perimeter = length JK + length LK + length JL

AL = CL = 12

Length LK = CL + CK = 12 + 8 = 20

JA = JB = 14

KB = CK = 8

Length JK = JB = KB = 14 + 8 = 22

Length JL = JA + AL = 14 + 12 = 26

The perimeter of triangle JKL is calculated as;

Perimeter = 20 + 22 + 26

Perimeter = 68 units.

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Answer:

Violation

Step-by-step explanation:

The number of ways 9 yellow marbles can be divided among 4 distinguishable cups is 126.

Dividing 9 marbles among 4 cups is a combination problem. The number of combinations is given by the formula C(n + r - 1, r - 1), where n is the number of items (marbles) and r is the number of groups (cups). In this case, n = 9 and r = 4. Plugging these values into the formula, we get:

C(9 + 4 - 1, 4 - 1) = C(12, 3) = (12 * 11 * 10) / (3 * 2 * 1) = 220

This means that there are 220 ways to divide 9 yellow marbles into 4 distinguishable cups. However, since the cups are distinguishable, each combination is counted multiple times, once for each permutation of the cups. The number of permutations of n items taken r at a time is given by the formula n! / (n - r)!. In this case, the number of permutations is 4! = 4 * 3 * 2 * 1 = 24.

So, the total number of ways to divide 9 yellow marbles into 4 distinguishable cups is 220 / 24 = 9. This means that there are 126 distinct ways to divide 9 yellow marbles among 4 distinguishable cups.

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The amount of money he will have in the account is $922.46

From the question, we have the following parameters that can be used in our computation:

Principal, P = 594

Rate , r = 4.5%

TIme = 10 years

Teh amount of money is calcilated s

Amount =  P * (1 + r)^t

substitute the known values in the above equation, so, we have the following representation

Amount = 594 * (1 + 4.5%)^10

Evaluate

Amount = 922.46

Hence, the amount is $922.46

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Answer:

48

Step-by-step explanation:

21 white tiles = 63 cm2

total number is 144

144-63 = 81

81/3 = 27

so 27 black tiles

21+27 = 48 total.

The answer is 27 tiles !

21 white tiles × 3  = the total area it takes up!

21 × 3 = 63

144 - 63 = 81

81 is the area left!

Divide by 3 to find how many black tiles are needed!

81÷ 3 = 27

Hope I Helped !

The particular solution that satisfies the differential equation and the initial condition f(0) = a is: f(x) = -sin(x) + C1x + a.

To find the particular solution that satisfies the differential equation f''(x) = sin(x) and an initial condition, we need to integrate the equation twice and apply the initial condition.

1. First Integration:

Integrating the differential equation f''(x) = sin(x) with respect to x once gives us:

f'(x) = -cos(x) + C1

where C1 is the constant of integration.

2. Second Integration:

Integrating f'(x) = -cos(x) + C1 with respect to x again gives us:

f(x) = -sin(x) + C1x + C2

where C2 is another constant of integration.

3. Applying the Initial Condition:

To apply the initial condition, we need to use the given information about the problem. Let's say the initial condition is given as f(0) = a, where 'a' is a specific value.

Substituting x = 0 and f(x) = a into the equation, we get:

a = -sin(0) + C1(0) + C2

a = 0 + 0 + C2

C2 = a

Therefore, the particular solution that satisfies the differential equation and the initial condition f(0) = a is:

f(x) = -sin(x) + C1x + a

In this particular case, the initial condition f(0) = a determines the value of the constant C2, which becomes C2 = a. The resulting particular solution incorporates the constant C1 from the first integration and the constant a from the initial condition.

Note that without a specific initial condition or boundary condition, the constants C1 and C2 remain arbitrary and can be adjusted to fit different situations or additional information if provided.

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Complete Question:

Aisha reduced the size of her square driveway. she made one side 10 feet shorter and the other side 15 feet shorter. the smaller rectangular driveway will have an area of no more than 800 square feet. write an inequality to represent the area of the smaller driveway.

Answer:

The inequality that represents the area of the smaller drive way is \(x(x-25) \leq 650\)

Step-by-step explanation:

Let the original length of the sides of Aisha's square driveway be = x

She made one side 10 ft short, i.e. (x - 10) ft

She made the other side 15 ft short, i.e. (x - 15) ft

Since the sides are no longer equal, the driveway is now a rectangle

The question states that the smaller rectangular driveway will have an area of no more than 800 square feet

Area of a rectangle = length * Breadth

Area = (x - 10)*(x - 15)

\(Area = x^{2} - 15x - 10x + 150\\Area = x^{2} - 25x + 150\)

Area ≤ 800

\(x^{2} - 25x + 150 \leq 800\\ x^{2} - 25x - 650\leq 0\\x(x-25) \leq 650\)

Solving the above, x = 40.9 or -15.9

Since the length of a square cannot be negative, x = 40.9 ft

Answer:

(x-10)·(x-15)≤800

Step-by-step explanation:

imagine math

Answer: A, C, 57

Step-by-step explanation:

I multiply by 0.40 for the first one, and then multiply by 1.0625. 0.40 = 40% and multiplying by 1.0625 is the same as adding 6.25%. For the second, I multiply by 0.70 because that is 70%. For the last, I multiply by 0.95 for the same reason.

Hey there!

At first, Josh has 30 keys.

Then, he loses 3 keys.

30 keys - 3 keys = 27 keys

After that, Josh finds 7 keys.

27 keys + 7 keys = 34 keys

Josh will have a total of 34 keys.

Hope this helps! Have a great day!

The solution of the equation 2x - 1 = 7 is x = 4.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign .

Therefore, let's solve the equation as follows:

2x - 1 = 7

add 1 to both sides of the equations

2x - 1 = 7'

2x - 1 + 1 = 7 + 1

2x = 8

divide both sides of the equation by 2

2x / 2 = 8 / 2

x = 4

Therefore, the solution of the equation is x = 4.

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The value which is a solution of the given one-variable equation is; Choice D; x = 4.

It follows from the task content that the value which is a solution of the given equation is to be determined.

Since the given equation is;

2x - 1 = 7

The equation can be solved as follows;

2x - 1 = 7

Add 1 to both sides of the equation;

2x = 7 + 1

2x = 8

Divide both sides of the equation by 2;

x = 8/2

x = 4.

Therefore, the required solution of the equation is; Choice D; x = 4.

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Answer:

n equals 100

hope this helps

The given equation;

Apply cross multiplication;

Now, add 5 on both side as;

Divide both side by 3;

Hence proof

Answer:

Step-by-step explanation:

without specific information or a diagram, it is not possible to determine the properties or statements regarding triangle XYZ. Can you provide additional information or specify the given options to choose from?

Answer:

Step-by-step explanation:

the answer opt A and Opt C

There are four major types of transformations which are:

Rotation is a type of transformation that has an object about a fixed point without changing its size or shape.

Translation is a type of translation that is defined as moving the object in space by keeping its size, shape or orientation constant. It should be noted that in a translation, each point of the shape must be moved in the same direction and for the same distance

Dilation is a type of translation that expands or contracts the object by keeping its orientation or shape the same.

Reflection is a type of translation that flips the object across a line by keeping its shape or size constant.

A overview was given as the information is incomplete.

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Answer:

f(x)=x+1/11

Step-by-step explanation:

These two lines would be perpendicular.

Answer:

\(f^-^1(x) = x+11\)

Step-by-step explanation:

- Write as an equation.

y = x - 11

- Interchange the variables.

x = y - 11

- Solve for  y

y = x + 11

- Replace the  y  with \(f^-^1(x)\) to show the final answer.

\(f^-^1(x) = x+11\)

hope this helps :)