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Value of the expression 10z + 5w is 40.

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.

For example, x + y is an expression, where x and y are terms having an addition operator in between.

Given expression

10z + 5w

z = 3

w = 2

Substituting value of z and w in the expression

10z + 5w = 10(3) + 5(2)

⇒ 10z + 5w = 30 + 10

⇒ 10z + 5w = 40

Hence, 40 is the value of the expression 10z + 5w.

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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

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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Answer:

We can use the tangent function to solve for the height of the tower. The tangent of an angle is the ratio of the opposite side to the adjacent side in a right triangle.

First, we'll find the opposite side (the height of the tower) using the angle of elevation:

tan(21°) = opposite / 300

opposite = 300 * tan(21°)

Then we'll find the opposite side (the depth of the base of the tower below the window) using the angle of depression:

tan(20°) = opposite / 300

opposite = 300 * tan(20°)

Now we can add the two opposite sides we found to get the total height of the tower

height = opposite(elevation) + opposite(depression)

height = 300 * tan(21°) + 300 * tan(20°)

The angle should be converted to radians before using the tangent function, and the final answer should be rounded to 2 decimal places.

Step-by-step explanation:

Answer:

30 TENTHS + 7 HUNDREDTHS

Step-by-step explanation:

Answer: multiples of 4 are -4,8,12,16,20,24,28,32,36,40,44,48,52

Step-by-step explanation:

4x1=4

4x2=8

4x3=12

4x4=16

4x5=20

4x6=24

4x7=28

4x8=32

4x9=36

4x10=40

4x11=44

4x12=48

4x13=52

Answer:

208

Step-by-step explanation:

52×4=208

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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Since Z and 92 both have vertical angles, they are equal. Subtract from 180 to determine the measure of the other angle, which is 88 degrees since it forms a straight line with the 92-degree angle. Solve the expression by setting the value at 88.

∠AOB + ∠BOC = 180°

92°+( 10x  +  32 )° = 180°

10x + 32° = 180 - 92

10x + 32° = 88

10x = 88 - 32

10x = 56

x = 56 ÷ 10

x = 5.6°

Hence, the value of X is 5.6 and Z is 92.

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[tex]\textit{Horizontal Range}\\\\ R=\cfrac{(v_0)^2\cdot \sin(2\theta )}{g} ~~ \begin{cases} v_o=\textit{initial velocity}\\ \theta =\textit{initial angle}\\ g=gravity\\[-0.5em] \hrulefill\\ v_o=100\\ \theta =45^o\\ g\approx 32~\frac{ft}{s^2} \end{cases}\implies R\approx\cfrac{(100)^2 \sin(2\cdot 45^o)}{32} \\\\\\ R\approx\cfrac{10000\sin(90^o)}{32}\implies R\approx\cfrac{10000(1)}{32}\implies R\approx 312.5~ft[/tex]

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.

The system of inequalities y > x + 2 and y < x - 3. when solved will not have solutions

When the graphs meet at a point, a system of linear equations has just one solution.

No solution, When the graphs are parallel, a system of linear equations cannot have a solution.

examining the system of linear equations y > x + 2 and y < x - 3, the slope of the two linear functions are equal with a value of 1.

Because of this, the equations will not intersect and the lines are said to be parallel and no solution expected

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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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Answer:

Step-by-step explanation:

242424

Answer:

600 ml

Step-by-step explanation:

One of the rules of ratio includes sorting ratio in order according to the question. In this case, squash is mentioned first, then water. Hence, the ratio is:

squash:water = 1:6

Use cross multiplication:

1       :       6

100  :        ?

Multiply 100 by 6 then divide it by 1: which basically means 100 * 6 = 600 ml.

If you are unfamiliar with cross multiplication, then simply find out how many times did you have to multiply the 1 in the squash ratio to result to 100, which is 100, then multiply 6 by that answer = 6 * 100.

Hope you understood :)

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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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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The tangent of the subtraction of angles x and y is defined as follows:

tan(x - y) = (36 - 20π)/(48 + 15π)

The tangent of the subtraction of two angles is obtained according to the identity presented as follows:

tan(x - y) = [tan(x) - tan(y)]/[1 + tan(x)tan(y)]

The tangent of angle x is given as follows:

3/4.

The tangent and cotangent are defined as follows:

Hence the tangent of angle y is obtained inverting the numerator and the denominator of the function, as follows:

tan(y) = 5π/12.

The subtraction of the two tangents is given as follows:

tan(x) - tan(y) = 3/4 - 5π/12 = 9/12 - 5π/12 = (9 - 5π)/12.

The quotient of the two tangents is given as follows:

tan(x)tan(y) = 3/4 x 5π/12 = 15π/48.

Then the denominator of the expression is given as follows:

1 + 15π/48 = (48 + 15π)/48.

Considering the division of the two fractions, the tangent of the subtraction is defined as follows:

tan(x - y) = (9 - 5π)/12 x 48/(48 + 15π)

tan(x - y) = (36 - 20π)/(48 + 15π)

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Answer: Elijah's debt-to-credit ratio is 37%.

Step-by-step explanation:

Elijah's debt-to-credit ratio is the ratio of the amount of money he owes to the total amount of credit he has available.

To calculate the debt-to-credit ratio, we need to divide the amount of debt by the total amount of credit, and then multiply by 100 to get the answer in percentage.

Debt = $2,127.50

Credit = $5,750.00

Debt-to-credit ratio = (Debt / Credit) * 100

Debt-to-credit ratio = (2127.50 / 5750) * 100 = 37.29 ~ 37%

So the answer is: b) 37%

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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The equivalent equation to Paolo's equation is,

w = Start Fraction uppercase P minus 2l Over 2 End Fraction.

What is algebraic operation?

A basic algebraic operation in mathematics is any of the common arithmetic operations, such as addition, subtraction, multiplication, division, raising to a whole number power, and taking roots (fractional power).

Multiplication and division tasks should be completed first from left to right, followed by addition and subtraction tasks from left to right.

Given:

uppercase P = 2 (l + w)

Simplifying this,

uppercase P = 2l + 2w

Subtract 2l from both sides,

uppercase P - 2l = 2l  + 2w - 2l

uppercase P - 2l = 2w

Divide both sides by 2,

(uppercase P - 2l) / 2 = 2w / 2

(uppercase P - 2l) / 2 = w

Hence, the equivalent equation to Paolo's equation is,

w = Start Fraction uppercase P minus 2l Over 2 End Fraction.

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The equation 3x - y = - 1; - 3x - y = 5 when solved using the elimination method is x = -1 and y = -2 respectively.

3x - y = - 1

- 3x - y = 5

Subtract the equation to eliminate y

3x - (-3x) = - 1 - 5

3x + 3x = - 6

6x = - 6

divide both sides by 6

x = -6 / 6

x = -1

Substitute x = -1 into

3x - y = - 1

3(-1) - y = -1

-3 - y = - 1

- y = - 1 + 3

-y = 2

y = -2

Therefore, the solution to the simultaneous equation is (x, y) = (-1, -2)

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Answer:

987

Step-by-step explanation:



57√56259= 987

Answer:

987

Step-by-step explanation:

56259 ÷ 57 = 987

Answer:

Step-by-step explanation:

Approximately 68% of the data points in a dataset are expected to be within one standard deviation of the mean, assuming that the data follows a normal distribution. This is known as the Empirical Rule or the 68-95-99.7 rule. According to this rule, approximately 95% of the data points are expected to be within two standard deviations of the mean, and approximately 99.7% of the data points are expected to be within three standard deviations of the mean.

Please note that this rule applies only to a normal distribution, if the data is not normally distributed, the proportion may be different.

Answer:

Approximately 68% of the data points in a data set are expected to be within one standard deviation of the mean because of the 68-95-99.7 rule.

Step-by-step explanation:

This rule states that approximately 68% of the data points in a normal distribution fall within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations.

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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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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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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Answer:

5

Step-by-step explanation:

Answer:

Let x be the number of guppies Percious can purchase.

We know that the total cost of the goldfish, starfish and guppies is less than or equal to $80.

We can use this information to write an inequality:

32 + 12 + 6x <= 80

This inequality represents the total cost of the goldfish, starfish, and guppies.

By solving this inequality we can find the number of guppies Percious can purchase.

To solve this inequality, we can first simplify it by combining like terms:

44 + 6x <= 80

Then we can subtract 44 from both sides:

6x <= 36

And finally, we divide both sides by 6:

x <= 6

So, Percious can purchase a maximum of 6 guppies if she wants to spend all of her money.

x is less than or equal to 6.

Step-by-step explanation:

Let x be the number of guppies Percious can purchase.

We know that the total cost of the goldfish, starfish and guppies is less than or equal to $80.

We can use this information to write an inequality:

32 + 12 + 6x <= 80

This inequality represents the total cost of the goldfish, starfish, and guppies.

By solving this inequality we can find the number of guppies Percious can purchase.

To solve this inequality, we can first simplify it by combining like terms:

44 + 6x <= 80

Then we can subtract 44 from both sides:

6x <= 36

And finally, we divide both sides by 6:

x <= 6

So, Percious can purchase a maximum of 6 guppies if she wants to spend all of her money.

x is less than or equal to 6.