Ann is 4 years older than Julie. 4 years ago Ann was twice as old as Julie. Find their present ages.

The measure of the angle m∠ZYX of the trapezoid is equal to 139°

A trapezoid is a quadrilateral with two parallel sides. The parallel sides are called the bases of the trapezoid, and the other two sides are called the legs. The adjacent angles of the trapezium are supplementary, so their sum is equal to 180°.

3x + 19 + x + 1 = 180°

4x + 20 = 180°

4x = 180 - 20 {collect like terms}

4x = 160

x = 160/4 {divide through by 4}

x = 40

m∠ZYX = 3(40) + 19 = 139°.

WXYZ is a trapezoid. Equation used to solve for x is (3x + 19) + (x + 1) = 180° because the angles m∠XYZ and m∠WXY are adjacent angles.

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Answer:

217 344/1000 or 217 43/125

Step-by-step explanation:

This is an example of descriptive statistics. Descriptive statistics involves summarizing and describing the main features of a set of data. In this case, the data consists of the responses from 85 randomly selected fifty-year-old Americans about the amount of money they have saved for their retirement.

The statistics provided, such as the average ($25,000), minimum ($0), and maximum ($1,200,000), are all examples of descriptive statistics that summarize the data and provide information about its distribution.

Inferential statistics, on the other hand, involves making inferences about a population based on a sample. Inferential statistics allow us to use the information from a sample to make educated guesses about the characteristics of the population from which the sample was drawn.

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The distance between Ray-Ann and Steve, using the law of cosines, is given as follows:

11.5 feet.

The law of cosines states that we can find the length of the missing side c of a triangle as follows:

c² = a² + b² - 2abcos(C)

The parameters of the equation are given as follows:

In the context of this problem, the values of these parameters are given as follows:

Hence the distance between Ray-Ann and Steve is obtained as follows:

c² = 6²+ 7² - 2 x 6 x 7 x cos(124)º

c² = 132

c = square root of 132

c = 11.5 feet.

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In mathematics, a sequence is an ordered list of elements, often denoted by brackets or parentheses.

The term "a sequence of length n" refers to a sequence that contains a specific number of elements, where the number of elements is denoted by "n."

When the domain of a function is the set of natural numbers (N), it is called an infinite sequence. An infinite sequence can be thought of as an ordered list that continues indefinitely.

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Answer: 6/14 and 42/99

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

you do change in y over change in x which is -7-9 over -1-3

when you do the calculations you get 4

Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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The value of x in the triangular pyramid is 8 units.

The volume of the pyramid is given as 240 units cube. Therefore, let's find the value of x in the pyramid.

volume of the pyramid = 1 / 3 ×base area × height

Therefore,

base area = 1 / 2 bh

base area = 1 / 2 × 12 × x

base area = 6x

Therefore,

volume of the pyramid =  1 / 3 × 6x × 15

240 = 30x

divide both sides by 30

x = 240 / 30

x = 8 units

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Answer:

(10,12)

Step-by-step explanation:

that is because the X axis is 10 and the 6 axis is 12

The ordered pair will be (10, 12)

An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses.

According to the given question.

If we start from origin and move 10 units to the left, then we get the value of x coordinate which will be 10.

And, again if we start from origin and move 12 units up, the we get the value of y coordinate, which will be 12 units.

If we draw a perpendicular line from y = 12 and x = 10 they will meet at the point whose ordered pair will be (10, 12).

Hence, the ordered pair will be (10, 12)

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Answer:

$ 6.20 Cents

Step-by-step explanation:

17 - 5.50= 11.5

11.50 - 5.30= 6.2

Add A Zero at the end

You Get 6.20

Answer:

\(x^2 - 3x -10 = 0\)

Step-by-step explanation:

Given

Roots = -2 and 5

Required

Write the equation

We have that:

x = -2 and x = 5

Simplify further

x + 2 = 0 or x - 5 = 0

Multiply the results of the above

\((x + 2)(x - 5) = 0\)

Open brackets

\(x^2 + 2x - 5x -10 = 0\)

\(x^2 - 3x -10 = 0\)

Ok, thanks for your support, You're amazing!!!!! :)

Answer: wow ur rlly nice to offer ur service to ppl.

Step-by-step explanation:

Rick would need to have at least 100 cars on hand to immediately be able to deliver any car (model, option package, color).

To immediately deliver any car, Rick Rich's dealership must have all possible combinations of Mercedes models, option packages, and colors in stock.

With five models, four option packages, and five colors, there are 5 x 4 x 5 = 100 possible combinations.

Therefore, Rick would need to have at least 100 cars on hand, each representing a unique combination of model, option package, and color. It's worth noting that having exactly 100 cars on hand would only allow Rick to deliver one of each possible combination, so it may be prudent to have additional inventory on hand to meet demand for more popular combinations.

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Answer:

6 * (5 - x)

Step-by-step explanation:

This expression calculates the difference between 5 and x, and then multiplies it by 6. The difference is obtained by subtracting x from 5, and then the entire result is multiplied by 6.

Answer:

6 is the greatest answer

Step-by-step explanation:

24÷4=6

The greatest number of friends he can give his cards to so that each friend will receive an equal number of baseball cards and football cards is 6

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Jeremiah will give all of his sports cards to a number of friends. the greater number will be calculated as,

Number = 24÷4=6

Therefore, the value of the greatest number will be 6.

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The amount insurance company will pay is $700000.

We are given that

Age of Mr. lewis= 63

Policy value= $700,000

Now,

If Mr. Lewis dies after paying for the policy for 24 months, he would have paid a total of 24 * $72 = $1728 in premiums. Since he has a five-year level-term life insurance policy with a face value of $700,000, his beneficiaries would receive the full face value of the policy if he dies within the five-year term.

Therefore, by algebra the answer will be $700000.

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Answer:

if two angles are not suppliementary

then the measure of the angle sum is 180

if the measure of two Angles do not sum to 180 , then they are not suppliementary

if two Angles are supplementary then

false

true

true

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

c = -11

expression value = 245

c = 0

expression value = 3

c = 15

expression value = 453

Step-by-step explanation:

Given expression = \(2c^2 + 3\)

for c = -11 , we put c in place of c in given expression

\(2(-11)^2 + 3 = 2(121) + 3 = 242 + 3 = 245\)

for c= 0

\(2(0)^2 + 3 = 2(0) + 3 = 0 + 3 = 3\)

for c = 15

\(2(15)^2 + 3 = 2(225) + 3 = 450 + 3 = 453\)

Answer:

a

Step-by-step explanation:

Answer:

1222 billion dollars.

Step-by-step explanation:

To find the total increase from 1960 to 2010, we need to find the growth of each decade and sum them all:

In the period 1960-1970, we have x = 1, and the growth is:

\(y(1) = 43e(1/2) = 70.895\)

In the period 1970-1980, we have x = 2, and the growth is:

\(y(2) = 43e(2/2) = 116.8861\)

The growth in the following 3 periods are:

\(y(3) = 43e(3/2) =192.7126\)

\(y(4) = 43e(4/2) = 317.7294\)

\(y(5) = 43e(5/2) =523.8472\)

So the total growth in the period 1960 - 2010 is:

\(Total = y(1) + y(2) + y(3) + y(4) + y(5)\)

\(Total = 70.895 + 116.8861+192.726+317.7294+523.8472\)

\(Total = 1222.08\ billion\ dollars\)

Rounding to the nearest billion dollars, we have a total of 1222 billion dollars.

Answer:

$1,061

Step-by-step explanation:

Simply find out 2% of the value before, then do that two times more.

Answer:35in.

Step-by-step explanation:

I reccomend splitting it into sections when given problems like this.

The smaller two rectangles would be 5in * 2in which is 10in then just add them together.

For the bigger one, you'd do 5-2 in order to get the missing inches which will be 3+2 once added 5in*3in is 15in.

Finally, add 15+10+10 (15=The middle rectangle and 10=the sides)

Answer:

Break it up into pieces. The answer is 35in^2

Step-by-step explanation:

I took the first rectangle you see which is 5in by 2. Multiply that and you get 10

I then took the second one and is the 5 in by 3in. Multiply those and you get 15

The last one is the exact same as the first one

Add the areas all together and you get the area of the whole shape

Hope that helps

Answer:

The speed of Todd's snowmobile was 22 miles an hour

Step-by-step explanation:

:))

The speed of Todd's automobile is 31 miles per hour.

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.

Given that It took Todd 11 hours to travel over pack ice from one town in the Arctic to another town 330 miles away. During the return journey, it took him 15 hours.

For the first journey,

v₁ + v₂ = 330 / 11    ......................( 1 )

For the return journey,

v₂ - v₁ = 330 / 15 .........................( 2 )

From equation ( 1 ) and equation ( 2 ),

2v₂ = ( 330 / 11 ) + ( 330 / 15 )

2v₂ = ( 330 ) ( 31 / 165 )

v₂ = 165 ( 31 / 165 )

v₂ = 31 miles per hour

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Answer:

\(\frac{5}{16}\)

Step-by-step explanation:

\(\frac{1}{2}-\frac{3}{16}=\frac{8}{16}-\frac{3}{16}=\boxed{\frac{5}{16}}\)

Answer:

hope this helps

Step-by-step explanation:

the answer is 5/16

The value of the variable k is 33

Algebraic expressions are simply described as the expressions that consist of variables, terms, coefficients, constants and factors.

These expressions also consist of certain mathematical operations, such as;

From the information given, we have that;

(1/3)k - 4=7

collect the like terns

1/3k = 7 + 4

Add the values

1/3k = 11

cross multiply the values, we have;

k = 11(3)

Multiply the values

k = 33

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The growth rate of the population, given the initial population and the population after 10 years is 12. 5 % every 10 years.

To find the percent change or growth rate of a quantity between two different values, you can use the formula:

Percent change = ( new value - old value ) / old value x 100%

The new value would be the population of the village after 10 years which is 450 people.

The old value is the initial population of the village which is 400

The growth rate of the population is:
= ( 450 - 400 ) / 400 x 100 %

= 12. 5 %

The growth rate for the village is therefore 12. 5 % every ten years.

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The solution to the equation in terms of b is as written  below:

b=(r^3+5Q)/6

What is the unknown to be solved for?

The unknown whose solution is required is b in the below equation:

6b-5Q=r^3

add +5Q to both sides

6b-5Q+5Q=r^3+5Q

-5Q+5Q=

6b=r^3+5Q

divide both sides by 6

6b/6=(r^3+5Q)/6

b=(r^3+5Q)/6

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