Which expression is NOT equivalent to 40 + 20?
O 5(8+20)
O2(20 + 10)
○ 5(8+4)
○ 10(4+2)
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Answer:

perimeter = 310 yards

Step-by-step explanation:

If the length is 100 yards and the width is 55 yards, how many yards is the perimeter?

p =  2l + 2w

perimeter = 2(100) + 2(55)

perimeter = 200 + 110

perimeter = 310 yards

The value of x is 15

Here, we want to get value of x

From the question, we have that AC = AD

This means that what we have is an isosceles triangle

Mathematically, the bases of an isosceles triangle have same angle

For triangle ACD; the measure of angle D and the measure of angle C is same

That means the value of x is 15 too

Answer: We need to find the expression p(x) for profit.

Therefore the first option represents the profit of the company.

Let's begin by listing out the information given to us:

Amount spent = $240

discount = 25%

Therefore, the customer paid $180 for his purchase

Answer:

Step-by-step explanation:

z 3 = 0.64 Take the specified root of both sides of the equation to eliminate the exponent on the left side. z = 3 √ 0.64 The result can be shown in multiple forms. Exact Form: z = 3 √ 0.64 Decimal Form: z = 0.86177387

Answer:

Step-by-step explanation:

First you want to make the denominator the first multiple of both numbers so: 2/3 -3 5/6 = 2/6 - 3 5/6

Next you want to multiply the numerator by the amount of times you had to multiply the denominator so: 4/6 - 3 5/6

Then subtract the answer: 3 1/6

Let's express the mixed fraction in decimal.

Then, from least to greatest, the numbers are

(a) Plan B, 8

(b) 250, Plan A

Answer:

Equation: 2x +2x +x -8= 4(x +2)

x= 16

Step-by-step explanation:

The perimeter is the total length of the sides of a particular shape or figure.

Given that the triangle and square have an equal perimeter,

Perimeter of triangle= perimeter of square

Since a square has 4 equal sides,

2x +2x +x -8= 4(x +2)

Let's solve the above equation.

Simplify and expand:

5x -8= 4x +8

Move x terms to the left of the equation, constants to the right.

5x -4x= 8 +8

x= 16

Thus, the value of x is 16.

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Answer:

x = 16

Step-by-step explanation:

The perimeter of a two-dimensional shape is the distance all the way around the outside.

As the sides of a square are equal in length, the perimeter of a square is four times the length of one side.

[tex]\begin{aligned}\implies \textsf{Perimeter of the square}&=4(x+2)\\& = 4x+8\end{aligned}[/tex]

[tex]\begin{aligned}\implies \textsf{Perimeter of the triangle}&=2x+2x+(x-8)\\&=4x+x-8\\&=5x-8\end{aligned}[/tex]

If the perimeter of the triangle and the perimeter of the square are equal then:

[tex]\begin{aligned}\implies\textsf{Perimeter of the triangle}&=\textsf{Perimeter of the square}\\5x-8&=4x+8\\5x-8-4x&=4x+8-4x\\x-8&=8\\x-8+8&=8+8\\x&=16\end{aligned}[/tex]

Therefore, the value of x is 16.

Given a normal distribution with m = 100 and s = 10, the probabilities are;

a) X > 75 = 0.0062

b) X < 70 = 0.00135

c) X < 80 or X > 110 = 0.053954

We are given;

Population mean; m = 100

standard deviation; s = 10

The z-score is gotten from the formula;

z = (X - m)/s

Thus;

1) Probability that X > 75 is;

z = (75 - 100)/10

z = -2.5

From online p-value from z-score calculator, we have;

probability = 0.0062

2) Probability that X < 70 is;

z = (70 - 100)/10

z = -3

From online p-value from z-score calculator, we have;

probability = 0.00135

3) Probability that X < 80 is;

z = (80 - 100)/10

z = -2

From online p-value from z-score calculator, we have;

probability = 0.02275.

Probability that X > 110 is;

z = (110 - 100)/10

z = -1

From online p-value from z-score calculator, we have;

probability = 0.158655

Thus, P(0.02275 < x < 0.158655) = 0.053954

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The set-builder form is { x | x is a calculus book}.

A set is a collection of quantities based  on a specific criteria. A set can be expressed in two forms.

We usually use the form {a, b, c,....} in which we include each element of the set separated with a comma in between. This form of set notation is called the roster form.

Another set notation is the set-builder form. This form is more concise and precise and easily understandable also. In this form, all the elements are included in the set which has a same property. That is, here we don't write each and every element separately in the set but just emphasize the property of the elements which are included in the set.

We are asked to write the set of all calculus books in set-builder form.

The set-builder form for 'The set of all calculus books' is { x | x is a calculus book}.

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Solution

- The question would like us to determine the difference expression that corresponds to the following logarithm

- In order to solve this question, we should apply the Law of Logarithm which states that:

- Applying this law, we have:

Final Answer

The answer to the question is

The number of cups of lemonade sold in each hour is 32.4.

The number of cups of lemonade in each hour is the rate of selling. The rate of selling will be calculated by the formula : number of cups ÷ time.

Keep the values in formula to find the number of cups of lemonade sold each hour

Number of cups of lemonade sold each hour = 162 ÷ 5

Performing division to find the number of cups sold each hour

Number of cups of lemonade sold each hour = 32.4

Thus, each hour, 32.4 cups of lemonade are sold.

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Lionel should be the correct answer.

What is an expression?

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

Given that;

Dotty and Lionel are making a graph comparing a car's age with its gas mileage.

Dotty says the graph should show discrete points because the car sage is started in whole numbers of years.

Lionel says they should make a continuous line because age increases gradually, like time.

Now,

Clearly, The Lionel is correct because when we talk about the age, that means time and Time is continuous , never stopping or slowing down for anyone.

Thus, Lionel should be the correct answer.

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Answer:

600

Step-by-step explanation:

the total is 626 but round it to the nearest hundred is 600 because the rule 5 or more go up one more 4 or less stay at rest

Given any line, to find the slope of the line, follow the procedure below:

First, pick any two points (x1,y1) and (x2,y2) on the line.

Then, substitute the points into the formula for slope below:

You can use this method to find the slope of any given line.

We are asked to evaluate the mathematical expression below;

To do this we would use "PEMDAS". PEMDAS is an acronym for the words parenthesis, exponents, multiplication, division, addition, subtraction.

Given two or more operations in a single expression, the order of the letters in PEMDAS tells you what to calculate first, second, third, and so on, until the calculation is complete.

We will then proceed to solve the expression according to PEMDAS.

Answer: 28

If we have the function

Then

This also can be written in the form

We see that both answer are the same, like it should be.

Let:

If the line is horizontal, then:

The slope is given by:

Zero over any quantity is always zero, so:

we have that

3 years=3(12)=36 months

so

$2,400+$167(36)=$8,412

and

39,087-36,000=3,087 miles

so

$0.12*(3,087)=$370.44

therefore

The total cost is

$8,412+$370.44=$8,782.44

The sum of all interior angles of a triangle is 180° thus the measure of the exterior angle to ∠K is 168° so option (A) is correct.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are 3 sides and three angles in every triangle, some of which may be the same.

It is known that the sum of all three angles inside a triangle will be 180°.

So,   m∠J +  m∠L +  m∠K = 180°

m∠K = 180° - 78° -  90°

m∠K = 12°.

The exterior angle of k = 180- 12 = 168°.

Hence "The sum of all interior angles of a triangle is 180° thus the measure of the exterior angle to ∠K is 168°".

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As we can see from the given data, that, it gives some informtaion about, an on going process, that is almost in rythm.

So, from that we can see that, Mile had increased the running time in a particular pattern, at first he had increased the time by 2, then by 3, then by 4, and so on.

So to find the running time for sunday, we can solve this problem by analysing this pattern.

Therefore the answer is (D): looking for patterns.

Given data:

The given mean is m=24.

The given standard devaition is s=0.62.

The given vallue is x=22.9.

The expression for the value of z is,

Refer the standard z-table.

The number of box required are,

Thus, the number of boxes are 288.

First determine the common ratio between consecutive terms.

4.5/3 = 9/6 = 3/2

6.75/4.5 = 27/18 = 3/2

and so on. The [tex]n[/tex]-th term in the sequence is given by

[tex]a_n = 3 \cdot \left(\dfrac32\right)^{n-1}[/tex]

Solve for [tex]n[/tex] that gives the last term to find how many terms are in the sum.

[tex]n = 1 + \log_{3/2}\left(\dfrac{a_n}3\right)[/tex]

Plug in the last term.

[tex]n = 1 + \log_{3/2} \left(\dfrac{34.171875}3\right) = 1 + 6 = 7[/tex]

Then the sum of the first 7 terms of this sequence is

[tex]\displaystyle \sum_{n=1}^7 3 \cdot \left(\frac32\right)^{n-1} = 3\cdot\frac{1 - \left(\frac32\right)^7}{1-\frac32} = \boxed{\frac{6177}{44}} = 96.515625[/tex]

where we use the formula

[tex]\displaystyle \sum_{n=1}^k r^{n-1} = \frac{1-r^n}{1-r}[/tex]

Answer:

Step-by-step explanation:

The base of the rectangle and triangle is same.

Triangle area formula:

Substitute the values:

Answer is 14 ft.

Triangle Area Use Formula.

A = 28 ft2

H = 4 ft

B Value.

28 = 4b/2

28 = (4/2)b

28 = 2b

b = 28/2

b = 14

_____________________

Class: Middle School

Lesson: Triangle

[tex]\boxed{ \colorbox{lightblue}{ \sf{ \color{blue}{ Answer By\:Cyberpresents}}}}[/tex]

Answer: 16

Step-by-step explanation:

The perimeter of the triangle is [tex]2x+2x+x-8=5x-8[/tex].

The perimeter of the square is [tex]4(x+2)=4x+8[/tex].

Setting the perimeters equal to each other,

[tex]5x-8=4x+8\\\\x-8=8\\\\x=16[/tex]

Resolviendo una ecuación lineal veremos que el número es 76, y la mitad de ese número es 38.

Definamos la variable "x" como el número de la ecuación.

Tenemos la oración matematica:

"La cuarta parte de un número, disminuida en 17, es igual a 4"

Esto se puede escribir como la ecuacion:

(1/4)*x - 17 = 4

Esto es una ecuación lineal que puede ser resuelta para x.

(1/4)*x - 17 = 4

(1/4)*x = 4 + 17 = 19

x = 4*19 = 76

Entonces la mitad del número es:

x/2 = 76/2 = 38

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Answer: We have to calculate the (i) volume and (ii) the surface area of the cone:

The formula (1) is for the lateral surface of the cone and the formula (2) is for the volume of the cone, the unknowns are determined as follows:

Therefore the volume and the lateral surface area is calculated as follows:

Therefore x and y are the answers.