Multiply the quantity 5 less than 3 times a number by the quantity 2 times the same number added to five. Please show your work.

Answer:

Option D. [tex]44\ cm^{2}[/tex]

Step-by-step explanation:

we know that

The area of a trapezoid is equal to

[tex]A=\frac{1}{2}[b1+b2]h[/tex]

we have

[tex]b1=8\ cm[/tex]

[tex]b2=(4+8+2)=14\ cm[/tex]

[tex]h=4\ cm[/tex]

substitute the values

[tex]A=\frac{1}{2}[8+14](4)=44\ cm^{2}[/tex]

Answer:

D. 44cm^2

Step-by-step explanation:

Answer:

$29000 with a margin of error of $5000

Step-by-step explanation:

We have that the midpoint between the given values ​​is

(X1+X2) / 2 = ($34000+$24000)/2 = $29000

We have that the midpoint between the given values ​​would be

(X2-X1)/2=($34000-$24000)/2=$10000/2=$5000

So I can write that approach as $29000 with a margin of error of $5000

Done

X = -3 or X = 7

Step 1: Simplify both sides of the equation.

Step 2: Subtract x^2+15 from both sides.

Step 3: Factor left side of equation.

Step 4: Set factors equal to 0.

Answer:

x=7 or x=-3

Step-by-step explanation:

36+4x=x^2+15

36-15+4x=x^2

21+4x=x^2

0=x^2-4x-21

0=x^2-(7-3)x-21

0= x^2-7x+3x-21

0= x(x-7)+3(x-7)

0= (x-7)(x+3)

so either

x-7=0

x=7

or x+3=0

x=-3

Answer:

(-1/2,-1.25)

Step-by-step explanation:

Once you plot the points, you should be able to find the midpoint formula.

The midpoint between the points (-2, -3) and (1, 0.5) is (-0.5, -1.25).

To find the midpoint between two points, you average the x-values and the y-values of the given points separately. The formula for the midpoint M between two points P1(x1, y1) and P2(x2, y2) is

M = ((x1 + x2) / 2, (y1 + y2) / 2)

Applying this to the given points (-2, -3) and (1, 0.5), we calculate the midpoint as follows:

Average the x-values:

(-2 + 1) / 2 = -0.5

Average the y-values:

(-3 + 0.5) / 2 = -1.25

Answer:

x=178

Step-by-step explanation:

Since 53 is being added to x, you will subtract 53 from both sides. 231-53 equals 178, therefore x=178

Answer:

The third one or the first one

Step-by-step explanation:

Can't be +4 or -4

Answer:

The equation of the line on the graph is y - 4 = -3(x+1)

Answer:

(1,4)

Step-by-step explanation:

Answer:

The correct answer is (0,4)

Step-by-step explanation:

Answer:

it is 20

Step-by-step explanation:

5 * 20 = 100

100 - 10 = 90 which equals a angle in a right angle triangle

Answer:

The value of x is 11 ⇒ answer B

Step-by-step explanation:

* lets check the properties of the square

- Its four aides are equal

- Its four angles are equal and the measure of each one is 90°

- Its diagonals bisect its vertices

∵ BD is a diagonal of the square

∴ BD bisects angle B

∴ m∠ABD = m∠CBD

∵ B is a vertex of the square

∴ m∠B = 90°

∴ m∠ABD = m∠CBD = 90 ÷ 2 = 45°

∵ m∠ABD = (5x - 10)°

∴ (5x - 10)° = 45° ⇒ add 10 to each side

∴ 5x = 55 ⇒ divide both sides by 5

∴ x = 11

* The value of x is 11

For this case we must simplify the following expression:

[tex]\frac {\frac {5} {6}} {\frac {3} {8}} =[/tex]

Applying double C we have:

[tex]\frac {5 * 8} {6 * 3} =\\\frac {40} {18} =[/tex]

Dividing numerator and denominator between 2:

[tex]\frac {20} {9}[/tex]

ANswer:

[tex]\frac {20} {9}[/tex]is the simplified form

Answer:

36c^3m^3x^2

Step-by-step explanation:

The equation representing the price of the shirt s, the number of students n and P is Option A.

sn = P

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of students be = n

Let the cost of each shirt be = s

The equation will be ,

So , the total cost of the shirt P = number of students x cost of each shirt

Total cost of the shirt P = n x s

So , the equation representing the proportional relationship is

P = ns

sn = P

Hence , The equation representing the price of the shirt s, the number of students n and P is Option A.

sn = P

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Answer: 138.16 in²

Step-by-step explanation:

You need to use this formula to calculate the surface area of the cone:

[tex]SA = \pi r^2 + \pi rl[/tex]

Where "r" is the radius, "h" is the height and "l" is the slant height.

To find the height you need to use the Pythagorean Theorem:

[tex]a^2=b^2+c^2[/tex]

Where "a" is the hypotenuse and "b" and "c" are the legs of the triangle.

In this case:

[tex]a=l=7in\\\\b=r=\frac{8in}{2}=4in\\\\c=h[/tex]

("r" is the radius and "h" is the height and "l" is the slant height.)

You need to find "h". Then, solving for "h", you get:

[tex]h=\sqrt{(7in)^2-(4in)^2}\\h=5.74in[/tex]

Then, substituting values into the formula, you get:

[tex]SA = (3.14)(4in)^2 + (3.14) (4in)(7in)=138.16in^2[/tex]

Answer:

It depends on which side of the cylinder. If she puts it on the curved side, it will roll off. If she puts it on the flat side and stabalizes it, it will stay in place if no further force is acted on it.

Answer:361

Step-by-step explanation:

The sample size in this scenario is defined by the total number of letters received by the member of Congress, regardless of their stance on the bill. Therefore, the sample size is 361.

In statistics, the term 'sample size' refers to the number of observations or measurements used in a study or experiment. In this particular case, the member of Congress is interested in the views of her constituents on a proposed gun-control bill. The total number of letters received - regardless of whether those letters support or oppose the bill - forms the sample size.

In this context, the total number of letters is 361, so option C is the correct answer. It doesn't matter how many of these letters were in favor or against the bill; all of them constitute the sample. The number of letters opposing the bill (323) is a part of the total sample, not the sample size itself.

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Answer:

30 ft

Step-by-step explanation:

It is 30 because to find the volume of a rectangular prism, you do

length x width x height.

So, 5 x 2 x 3 = 30.

To find the volume of a rectangular prism, multiply its length, width, and height. Thus, the volume of the fish tank measuring 5 feet in length, 2 feet in width, and 3 feet in height is 30 cubic feet.

The volume of a rectangular prism such as a fish tank can be calculated by multiplying its length, width, and height together. For a fish tank with a length of 5 feet, a width of 2 feet, and a height of 3 feet, the volume calculation would look like this:

Volume = Length × Width × Height

Volume = 5 ft × 2 ft × 3 ft

Volume = 10 ft × 3 ft

Volume = 30 ft³

Therefore, the volume of the fish tank is 30 cubic feet.

Lower quartile=25% of total frequency/numbers in the data set

Median=50% of total frequency/numbers in the data set

Upper quartile=75% of total frequency/numbers in the data set

Hope this helps:)

Answer:

see explanation

Step-by-step explanation:

To obtain the quartiles arrange the data in ascending order

38, 47, 54, 60, 67, 68, 76, 77, 84, 89

Q₂ is the median

The median is the middle value in the data set. If there is no exact middle value then it is the average of the 2 values either side of the middle

Q₂ = [tex]\frac{67+68}{2}[/tex] = 67.5

Q₁ is the lower quartile and is the middle value of the data to the left of the median

Q₁ = 54

Q₃ is the upper quartile and is the middle value of the data to the right of the median

Q₃ = 77

Answer:

Step-by-step explanation:

[tex]tangent=\dfrac{opposite}{adjacent}\\\\\text{We have}\\\\opposite=8cm\\adjacent=6cm\\\\\text{substitute:}\\\\\tan B=\dfrac{8}{6}=\dfrac{8:2}{6:2}=\dfrac{4}{3}[/tex]

Answer:

2

Step-by-step explanation:

slope = m = (difference in y)/(difference in x)

m = (-3 - 7)/(4 - 9)

m = -10/(-5)

m = 2

Answer:

Step 1 is incorrect.

Step-by-step explanation:

The slope = difference of y values / difference of x values so Step 1 is incorrect. The slope is (6-3)/ ((4 - (-2)) = 1/2. He worked out x differences / y differences.

Answer: A: In step 1, the slope of the line should be 1/2.

Answer:

For a question to be statistical it has to have a specific population, room for a clear response, and a variability in the data.

An example of a statistical question is, "What is the typical amount of time it takes for a piece of gum to lose its flavor?" This is statistical because it accounts for a clear response, population, and variability.  

Answer:

The question asks for a quantitative response.

Step-by-step explanation:

I did the 8.01 test, C was the correct answer.

Good luck FLVS students

Answer:

All real numbers greater than or equal to -2.

Step-by-step explanation:

The range is the set of values of the y-coordinates of the points on the graph.

The smallest y-coordinate is -2. All real numbers greater than equal to -2 are the range.

Answer: All real numbers greater than or equal to -2.

Answer:

the answer is 5.5

explanation:

just did the test

Answer: The uper quatile Q3=15.75

Step-by-step explanation:

Q3=3/4(N+1)

Q3=3/4(20+1)

Q3=3/4(21)

Q3=63/4

Q3=15.75

Answer:

Step-by-step explanation:

The formula of a distance between two points:

[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

We have the points (1, 2) and (-3, 5). Substitute:

[tex]d=\sqrt{(-3-1)^2+(5-2)^2}=\sqrt{(-4)^2+3^2}=\sqrt{16+9}=\sqrt{25}=5[/tex]

Answer:

21 + 3a

Step-by-step explanation:

3 (7+a)

distribute 3 into parentheses:

21 + 3a

The distributive property states that one should simplify the expression by multiplying each term inside the parentheses by the term outside of them:

3*7=21

3*a=3a

21+3a

Hope this helps!!

Answer:

A: 700

B: 6400

C: 50

Step-by-step explanation:

A: You can multiply by 5

B: You can just multiply by 20.

C: Every 10% is 5, because 15(30%)/3 is 5. 5 times 10 is 50.

Answer:

a. h = 700

b. j = 6400

c. g = 50

Step-by-step explanation:

Translate each statement into an equation and solve the equation. Remember that to change a percent to a decimal, you divide the percent by 100, which is the same as moving the decimal point two places to the left. Also, a percent of a number means a percent times the number.

a. 20% of h is 140

20% * h = 140

0.2h = 140

Divide both sides by 0.2

h = 700

b. 5% of j is 320

5% * j = 320

0.05j = 320

Divide both sides by 0.05

j = 6400

c. 30% of g is 15

30% * g = 15

0.3g = 15

Divide both sides by 0.3

g = 50

Answer:

Yes, because the Jaspers paid a higher percentage of their income in sales tax than the Roosevelts did.

Step-by-step explanation:

Regressive tax is a constant, instead of a percentage of income. Those with a lower income would pay a higher percentage of their income. Both families, irregardless of income, paid $16,000 in taxes.

APEX

Answer:

Yes, because the Jaspers paid a higher percentage of their income in sales tax than the Roosevelts did.

Step-by-step explanation:

A regressive tax is one that collects a smaller percentage of the income as the person earns more. That is to say that at higher profit or higher income, the percentage of taxes that must be paid on the total tax base is lower.

In this way the poor are relatively more affected than the rich.

The Roosevelts made $91.000 (high income)

The Jaspers made $37.000 (low income)

But both paid the same sales tax rate of $16,000.

This type of tax does not have a redistribution effect of wealth. On the contrary, if it is a very high tax, it can accentuate inequality in a society.

A dilation producing a smaller figure requires a scale factor less than 1. If the scale factor is 1/2, the model size is half the actual size. By setting up and solving a proportion, actual dimensions can be calculated.

When a dilation results in a smaller figure, the scale factor used is less than 1. Think of the scale factor as a fraction where the actual size is the denominator and the model size is the numerator. For instance, a scale factor of 1/2 would mean that the model is half the size of the actual figure.

For a practical example: if we have a scale factor of 1:4 and the scale measurement is 4, the actual dimension can be found by setting up a proportion as 1/4=4/x, solving for x would give us the actual dimension, which in this case would be 16.

A=apple o=orange a=avocado

6A+6o+6a=19.50

Happy To Help! :D

Answer:

x + y + z = 3.25

Step-by-step explanation:

We are given that Ed buys six apples, six oranges and six avocados and their total cost is $19.50.

We are to write an equation representing this.

Assuming apples to be x, oranges to be y and avocados to be z, we can write it as:

[tex] 6 x + 6 y + 6 z = 1 9 . 5 0 [/tex]

Simplifying it by taking the common out to get:

[tex]x+y+z=3.25[/tex]

Replace the x in the equation with the x value in tha table for the missing f(x) and calculate:

f(x) = 2x +1 = 2(2) +1 = 4 +1 = 5

The answer is B) 5

The table represents the function f(x) = 2x +1. The value goes in the empty cell is 5. The answer is B) 5.

A function is a type of relation, or rule, that maps one input to specific single output.

The table represents the function

f(x) = 2x +1

Replace the x in the equation with the x value in the table for the missing f(x)

F( 2) = 2(2) +1

F( 2) = 4 +1

F( 2) = 5

The answer is B) 5

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Answer:

there would be 40 slices of pizza

Step-by-step explanation:

If 5 pizzas each have 8 slices you multiply 5 X 8 which equals 40 slices

Answer:

there would be 40 slices of pizza.

Step-by-step explanation: