happy paws charges 21.00 plus 3.50 per hour to keep a dog during the day. Woof watchers charges 10.00 plus 4.75 per hour. Complete the equation and solve it to find for how many hours the total cost of services is equal. Use the variable h to represent the number of hours

The required cost of the construction of a 4.5-inch tower is the amount of $114.75.

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

The cost of construction is $25.50 per inch.

We have to determine the amount it costs to fund 4.5 inches of the construction.

As per the question, we have

The cost of construction is $25.50 per inch.

The cost of 4.5 inches of construction would be:

= 25.50 × 4.5

Apply the multiplication operation, and we get

= $114.75.

Thus, the required cost of the construction is $114.75.

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Answer:

I think so the answer is a)y=x³+2x²-1

The number of seats in the first, second and third aircraft are 561 seats,  497 seats and 842 seats respectively

A word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language rather than in mathematical notation

Let F, S and T represent number of seats in the first, second and third aircraft respectively

We can set up three equations to represent the situation:

F = 64 + S   --- (1)

T = 2S - 152 --- (2)

F + S + T = 1900 --- (3)

Put (1) and (2) in (3):

F + S + T = 1900

(64 + S) + S + (2S - 152) = 1900

64 + S + S + 2S - 152 = 1900

4S - 88 = 1900

4S = 1900 + 88

4S = 1988

S = 1988/4

S = 497 seats

F = 64 + S

F = 64 + 497 = 561 seats

F + S + T = 1900

561 + 497 + T = 1900

1058 + T = 1900

T = 1900 -1058 = 842 seats

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The way we should prepare the meal to supply one half of the RDA for protein and 139 grams pof carbohydrates is 4 beans serving and 5 bread slices (answer A). It not possible to have the same amount of protein as in part A but only 61 grams of carbohydrates.

To calculate the meal of point A we have to consider the amount of grams of protein and carbohydrates in each food. In this case, we try with 4 servings of beans and 5 slices of bread, and it get the protein and carbohydrates required as shown in the following explanation:

Servings of beans

4 * 5 = 20 grams of protein

4 * 21 = 84 grams of carbohydrates

Slices of bread

5 * 2 = 10 grams of protein

5 * 11 = 55 grams of carbohydrates

Totals

20 + 10 = 30 grams of protein

84 + 55 = 139 grams of carbohydrates

According to the previous explanation the meal have to be composed by 4 servings of beans and 5 slices of bread. On the other hand, if we want to make a meal with the same amount of protein but only 61 grams of carbohydrates, it is imposible because the amount of carbohydrates of each food is bigger than we need.

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Answer:

C. 2 ≤ x

Step-by-step explanation:

EDGE

The given geometry of the figure does not show any of the options, so option D is correct.

A polygon with three vertices and three sides is called a triangle. The triangle's angles are created by joining its three sides end to end at a single point. The sum of the three angles of the triangle is 180 degrees.

Given a ΔSTU

a line from point  T intersects at SU at point V and divides SU, given SV is 60 units and UV is 42 units.

The line TV is not a median, because a median divides the side into two equal halves, and the figure does not have  SV equal to UV.

The line TV is not an attitude because the figure has not specified the angle of V in line SU, if given that the ∠TVU = ∠TVS = 90° then TV will be called altitude.

The line is not a perpendicular bisector because The line segment drawn from a vertex to the opposite side of a triangle, bisecting that side at a right angle, is known as the perpendicular bisector of the triangle.

Hence option D is correct.

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The side of the square in terms of the perimeter is P/4.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

P = 4s

Where s is the side of the square and P is the perimeter of the square.

Now,

The side of the square.

P = 4s

Divide 4 into both sides.

s = P/4

Thus,

The side of the square is P/4.

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Answer:

Newton's 3rd law of motion

Step-by-step explanation:

Newton's 3rd law of motion states that for every force in nature there is an equal and opposite reaction.

So, assuming the people are both pushing with the same force, their forces are basically canceling each other out, and a net force of 0 is acting uponm the box, which explains why it is not moving.

The equation that represents circles that have a diameter of 12 units and a center that lies on the y-axis is x²+ (y-3)² = 36. Therefore, option A is the correct answer.

The equation of circle provides an algebraic way to describe a circle, given the center and the length of the radius of a circle. The equation of a circle is different from the formulas that are used to calculate the area or the circumference of a circle.

The standard equation of a circle with center at (x₁, y₁) and radius r is (x-x₁)²+(y-y₁)²=r²

The standard form for finding the equation of a circle is expressed as;

(x-a)²+ (y-b)² =r²

Where; (a, b) is the center of the circle and r is the radius of the circle

Given that, diameter = 12 units

So, radius = 12/2 = 6 units

If the center lies on the y-axis, the center will be at (0, 3)

Substituting into the formula, we will have (x-0)² + (y-3)² = 6² equivalent to x²+ (y-3)² = 36

Therefore, option A is the correct answer.

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There are 10 and 26 candy bars of each size did he buy.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

Diego brought 16 candy bars $25.

And, large candy bars cost $1.25 and regular candy bars cost $0.75.

Now, Let number of large candy bars = x

And, Number of regular candy bars = y

Here, Diego brought 16 candy bars.

Hence, We get;

⇒ x + y = 16  .. (i)

And, large candy bars cost $1.25 and regular candy bars cost $0.75.

Hence, We get;

⇒ 1.25x + 0.75y = 25  .. (ii)

Multiply by 1.25 in (i) and subtract from (ii),  we get;

⇒ 1.25y - 0.75y = 20 - 25

⇒ 0.5y = - 5

⇒ y = - 10

And, from (i);

⇒ x + y = 16

⇒ x - 10 = 16

⇒ x = 26

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Answer:

30 TENTHS + 7 HUNDREDTHS

Step-by-step explanation:

Id the base BCDE of the pyramid is a horizontal square w side lengths 12cm . The size of the angle between AB and the base of the pyramid is 62 degree.

Side of square of base BCDE =12cm

Area of base =12² =144cm²

Volume of pyramid = 768cm³

1/3 a² × h= 768

1/3 × 144 × h =768cm³

h =768 × 3 /144

h =16 cm

BD² =BC² +CD²

BD² = 12² + 12²

BD² = 288

BD =√288 cm

BD = 16.97cm

BD = 17cm

So,

BF = 1/2 BD

BF = 1/2 × 17

BF =8.5cm

So since ΔABF  is angle between AB  and base of pyramid

tan <ABF = Tan-1 (16/8.5) = 62°

Therefore the size of the angle between AB and the base of the pyramid is 62 degree.

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Answer: 7m-6m²-2mn

Step-by-step explanation:

Multiply each term in parenthesis by -2

Calculate product (2x3=6)

7m-6m²-2mn

The angles in the parallelogram are as calculated below

A parallelogram is a quadrilateral with opposite sides parallel. This means that both pairs of opposite sides are parallel and of equal length. The opposite angles of a parallelogram are also equal in measure.

m ∠BEA = 60° (alternate angles)

m ∠BAE = 42° (alternate angles)

m ∠DAE = 40° (alternate angles)

m ∠ABE = 180 - m ∠BEA - m ∠BAE = 78° (angle in a triangle)

m ∠CBE = 78° (vertically opposite angles)

m ∠ABD = 180 - m ∠ABE = 102° (angle on a straight line)

m ∠CBE = 102° (vertically opposite angles)

m ∠BEC = 180 - m ∠CBE - m ∠BEC = 38° (angle in a triangle)

m ∠ADB = 38°  (alternate angles)

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According to the given information, there is approximately 55 kilograms of dog food in the bag, because 1/2.2 = 25/55

From the question, we are to determine the statement that is true

From the given information,

There is 25 pounds of dog food in a bag.

and

There are approximately 2.2 kilograms in 1 pound.

If there are 2.2 kilograms in 1 pound

Then,

There would be x kilograms in 25 pounds

x = 2.2 × 25

x = 55 kilograms

Hence, there are 55 kilograms

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The respective answers are 5 and 4

Addition in math is a process of combining two or more numbers. Addends are the numbers being added, and the result or the final answer we get after the process is called the sum.

Given: 5 means 5+0+0 which equals to 5

4 means 4+0+0+0 which equals 4

Hence the respective answers are 5 and 4

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If you save RM1,000 at the end of each of the next 5 years in a savings account paying 6 percent compounded annually, the future value or the amount you will accumulate after 5 years is RM5,637.09.

The future value is the compounded present value of the periodic deposits.

The future value formula or FV table can determine the accumulated future value of periodic investments.

We can also use an online finance calculator to determine the future value.

N (# of periods) = 5 years

I/Y (Interest per year) = 6%

PV (Present Value) = RM0

PMT (Periodic Payment) = RM1,000

Results:

Future Value (FV) = RM5,637.09

Sum of all periodic payments = RM5,000(RM1,000 x 5)

Total Interest = RM637.09

Thus, in 5 years, you will have an accumulated future value of RM5,637.09 in the savings account.

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Answer:

1 * 3 ==> 4th option

Step-by-step explanation:

Matrix dimensions are:

number of rows by number of columns

The number of rows is 1   :   ( -4     1/4    -1 is the row)

The number of columns is 3  :  (-4, 1/4, and -1 are the columns)  

Hence, the dimensions is 1 * 3.

Answer:

1 x 3

Last choice

Step-by-step explanation:

The dimensions of a matrix are represented by number of rows x number of columns

There is only one row here (don't be confused by the 1/4) and there are three columns

So 1 x 3

(last choice)

We can start solving the problem by using the formula:

Hours worked = Total cost / Hourly wage

In this case, we know that Chris needs at least $320.00 for his class trip, and he earns $8 per hour working on the weekends. So, we can plug in these values into the formula:

Hours worked = $320.00 / $8.00

To solve this equation, we divide 320 by 8:

Hours worked = 40

So Chris needs to work 40 hours on the weekends to be able to go on the class trip.

I hope this helps :)

Answer:

----------------------------------------

Chris earns $8 per hour and he needs at least $320.00 for his class trip.

If he works h hours, he will get 8h dollars.

Set up inequality:

Solving we get:

Chris needs to work at least 40 hours.

Answer:

0.01 %

Step-by-step explanation:

The interest rate is the percentage of the principal (the amount borrowed) that is charged as interest over a certain period of time.

To find the interest rate, we can use the formula:

Interest Rate = Interest / Principal x Number of days / 365

We know that the principal is 600$, the interest is 14.25$ and the number of days is 90

so we can substitute the values into the formula:

Interest Rate = 14.25 / 600 x 90 / 365

Interest Rate = 0.02375 * 90 / 365

Interest Rate = 0.0104

Rounded to the nearest thousandth, the interest rate is 0.010 or 0.01 %

Answer:

The circumference of a tire can be found by using the formula C = πd, where C is the circumference, and d is the diameter.

For the old bicycle with 12 inch diameter tires, the circumference is:

C = π * 12 = 12 * π inches

For the new bicycle with 16 inch diameter tires, the circumference is:

C = π * 16 = 16 * π inches

To find the difference in the circumference of the tires, we subtract the circumference of the old tire from the circumference of the new tire:

16π - 12π = 4π inches

So the difference in the circumference of the two tires is 4π inches.

It's around 12.56 inches.

Mary paid Social Security tax of $4,378.325 in 2000. This is calculated by multiplying 7.5% by the amount of income over the maximum taxable income of  $4,378.325.

The theory used in this question is the marginal tax rate, which is the tax rate that applies to the income earned over the maximum taxable income. In this case, the marginal tax rate is 7.5%, which is the Social Security tax rate.

Step 1: Calculate the amount of income over the maximum taxable income.

Maximum taxable income: $53,000

Income earned: $61,711

Amount of income over the maximum taxable income: $8,711 ($61,711 - $53,000 = $8,711)

Step 2: Calculate the Social Security tax.

Social Security tax rate: 7.5%

Amount of income over the maximum taxable income: $8,711

Social Security tax paid: $4,378.325 ($8,711 x 0.075 = $4,378.325)

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1.6982 is the actress  age is more extreme when winning the​ award, the actor or the​ actress .

What does "z-score" mean?

The Z-score provides information on how far a given value deviates from the standard deviation. The amount of standard deviations a given data point is above or below the mean is represented by the Z-score, also known as the standard score.

                        Essentially, standard deviation is a measure of the degree of variability within a given data collection.

Z score for actor =   ( 37 - 45.2 )/8.3

                    = - 0.9879

Z score for actress =  ( 52 - 32.3 )/11.6

                               =  1.6982

since   I - 0.9879 l <   l 1.6982 l , the actress  age is more extreeme .

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Using the proportionality relationship equation, y = 3/2x, the complete table is:

x   |  y  

0     0

1      3/2

2      3

The equation of a proportional relationship between x and y can be represented as y = kx, which means that the constant of proportionality, k, is y/x.

For example, if the constant of proportionality between two variables x and y is given as 4, therefore, the equation of the proportional relationship will be stated as y = 4x.

Given the following:

Constant of proportionality, k = 3/2.

The equation of the proportional relationship is: y = 3/2x

Use the equation, y = 3/2x to complete the table by substituting the values of x into the equation:

For x = 1:

y = 3/2(1)

y = 3/2

For x = 2:

y = 3/2(2)

y = 3

Therefore, the complete table is:

x   |  y  

0     0

1      3/2

2      3

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Marco pays $1008  for for his credit card, groceries, and rent.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Marco budgets $1,600 a month for expenses.

According to the graph he pays 4% of credit card

Now let us find 4% of 1600

4/100×1600

0.04×1600

$64 Marco pays for credit card.

From graph, he pays 17% for groceries

17% of 1600

17/100×1600

0.17×1600=$272

$272 Marco pays for Groceries.

From graph, he pays 42% for rent

42/100×1600

0.42×1600=672

$672 Marco pays for Rent.

Hence, Marco pays $1008  for for his credit card, groceries, and rent.

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The factors of the expression 16x²+40x-39 are (4x-3)(4x+13).

The factors are the polynomials which are multiplied to produce the original polynomial.

A) 4x+4x-35

= 8x-35

C) 4x²+20x-11

= 4x²+22x-2x-11

= 2x(2x+11)-1(2x+11)

= (2x+11)(2x-1)

E) 4x²+12x-16

= 4x²+16x-4x-16

= 4x(x+4)-4(x+4)

= (4x-4)(x+4)

= 4(x-1)(x+4)

G) 16x⁷+24x-40

= 8(2x⁷+3x-5)

I) 25x+10x-48

= 35x-48

J) 16x²+40x-39

= 16x²-12x+52x-39

= 4x(4x-3)+13(4x-3)

= (4x-3)(4x+13)

Therefore, the factors of the expression 16x²+40x-39 are (4x-3)(4x+13).

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The ratio of Bob's to Ron's to Don's partnership interest is 26.6% : 33.3% : 40.0%.

A partnership interest is the percentage of a partnership that a specific member or individual owns. In this context, partnerships refer to a specific method of organizing business ownership in which each owner is a partner, with equal rights, privileges, and obligations to the company as a whole.

Data

Partnership interests in Maloney Bros:

Don - $78,000

Bob -  $52,000

Ron Maloney’s - $65,000

The total capital contribution is:

= $78,000 + $52,000 + $65,000

= $195,000

Bob's partnership interest is:

= $52,000/$195,000

= 0.266 or 26.6%.

Ron's partnership interest is:

= $65,000/$195,000

= 0.333 or 33.3%.

Don's partnership interest is:

= $78,000/$195,000

= 0.400 or 40.0%.

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Answer:

We can use the formula for conditional probability to find the probability that Mark makes both goals:

P(A and B) = P(A) * P(B | A)

We know that:

P(A) = 0.55 (the probability that Mark makes a goal on his first attempt)

P(B | A) = 0.80 (the probability that Mark makes a goal on his second attempt given that he made the first goal)

So:

P(A and B) = 0.55 * 0.80 = 0.44

Therefore, the probability that Mark makes both goals is 0.44.

Answer: The total amount Jennifer will owe to the bank on January 31st is $3,458.75

Step-by-step explanation: In September, Jennifer Rick went to Park Bank to borrow $2,500 at 11.75% interest for 4 months. As this loan is a simple interest loan calculated monthly, we need to calculate the total amount she will owe to the bank on January 31st.

We use the formula for simple interest which is:

Interest = Principal x Interest rate x Time

Interest = $2,500 x 11.75/100 x 4/12 = $958.75 (rounding to the nearest cent)

Now we can add the interest to the principal amount to get the total amount that Jennifer will owe to the bank on January 31st.

Total amount = Principal + Interest

Total amount = $2,500 + $958.75 = $3,458.75 (rounding to the nearest cent)

So, the total amount Jennifer will owe to the bank on January 31st is $3,458.75