The sum of two numbers is 24. The second number is 4 more than the first number. Let a represent the first number and let b represent the second number. What are the two numbers? Use the table to answer the question.8 and 16 10 and 14 11 and 13 15 and 9

Answer:

x=4

Step-by-step explanation:

3x-4=8

3x=8+4

3x=12

3x/3=12/3

x=4

The value of x for the given equation 3x - 4 = 8 will be 4.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

In another word, the equation must be constrained with some constraints.

As per the given equation,

3x - 4 = 8

3x = 8 + 4

3x = 12

x = 4

Hence "The value of x for the given equation 3x - 4 = 8 will be 4".

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Answer:

-1

Step-by-step explanation:

The given expression is:

[tex]-\frac{2}{3}\div \frac{4}{6}[/tex]

We multiply by the reciprocal to get:

[tex]-\frac{2}{3}\times \frac{6}{4}[/tex]

We factor so that we can cancel easily:

[tex]-\frac{2}{3}\times \frac{3\times 2}{2\times 2}[/tex]

Cancel the common factors to get:

[tex]-\frac{1}1}\times \frac{1\times 2}{1\times 2}[/tex]

This simplifies to:

[tex]-1[/tex]

Answer:The final answer is 1.

Step-by-step explanation:

Answer:

The answer is 121.50

Step-by-step explanation:

Multiple 6 by the 20 first so you get 120

Then multiply 6 by the .25 and you get 1.5

So just add 120 with 1.5 and you get 121.50

Answer:

121.5

Step-by-step explanation:

Bad at explaining look at picture.

The problem involves calculating the probability of winning a prize in an art contest. The total prizes are 5 and the total students are 50. Therefore, the probability of winning a prize is 5/50 = 10%

The problem you're asking about is a classic question in the field of probability. In this case, we have 50 students entering an art contest. There are 1+1+3=5 prizes to be won. Therefore, the total number of ways of winning a prize is 5.

The total number of outcomes (which in this case is the total number of students) is 50. Thus, the probability of a student winning a prize can be calculated as the ratio of the number of ways of winning to the total number of outcomes. This gives us:

P(Winning a prize) = Number of ways of winning / Total number of outcomes = 5 / 50 = 0.1 or 10%.

So, each student has a 10% chance of winning a prize in the contest.

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The probability of winning a prize in the art contest is 1/10.

To find the probability of winning a prize in the art contest, we need to consider the total number of students and the number of prizes available.

There are 1 prize for 1st place, 1 prize for 2nd place, and 3 prizes for honorable mention.

Therefore, a total of 5 prizes are available.

The probability of winning a prize can be calculated by dividing the number of prizes by the total number of students.

So, the probability is 5/50, or 1/10.

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Answer:260

53×5=260

Step-by-step explanation:

265 paving stones will be needed if it is 53 for each project

Answer:

The answer is B.

Step-by-step explanation:

You can see that the triangles are identical, so find the side that matches with BA and there you have it. The corresponding side is ED. I hope this helps!

Answer:

6t - 3

Step-by-step explanation:

9t - 3t + 2

Combine like terms: 9t - 3t = 6t

so

9t - 3t + 2

= 6t - 3

Answer:

(212 cups/2 dozen)(15 dozen) = 1,590 cups

Yes because if you add forty and thirty that equals seventy plus twenty is 90 which is a right angle

Answer:

No

Step-by-step explanation:

It would not form a right triangle because if you square 20, 30, 40, and add 20^2 and 30^2 it would become 1,300, but 40^2 is 1,600 which does not make it a right triangle according to the Pythagorean Theorem.

Answer:

[tex]2*10^{-1}[/tex]

Step-by-step explanation:

From 0 to 1, there are 5 units, so each of the lines are 1/5.

Hence, it is  0, 1/5, 2/5, 3/5, 4/5, 1

The point P is the first line, so that is 1/5, or in decimal, 0.2

Now we check all the options:

First Choice:  2 ^ -1 = 1/2^1 = 1/2  NO

Second Choice:  2 ^ 0 = 1  (anything to the power 0 is 1)  (NO)

Third Choice:  2 ^ 1 = 2 (NO)

Fourth Choice:  2 * 10 ^ -1 = 2 * 1/10 = 1/5 or 0.2 (RIGHT)

So, last choice is correct.

according to the graph, 25% chose water, and

[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{25\% of 760}}{\left( \cfrac{25}{100} \right)760}\implies 190[/tex]

Answer:

Alternate exterior angles

Step-by-step explanation:

Alternate exterior angles are angles that are opposite of the transversal line, but are found outside or the external side of the of the line that intersects them.

If the lines that intersect them happen to be parallel, then their measures would be congruent.

ANSWER

<1 and <8 are alternate exterior angles.

EXPLANATION

From the diagram we can trace a Z shape between the two parallel lines.

When we trace the shape, <1 and <8 will be on the exterior corners of the z-shape.

z-angles are called alternate angles.

These two angles are alternate to each other.

Hence <1 and <8 are alternate exterior angles.

Answer:

there would be 4 vertices

Step-by-step explanation:

(X + 4)(X^2 - 1) = x^3 + 4x^2 - x - 4

Answer:

She applied the exponent -2 to 4(-2) instead of applying the exponent to just -2

Step-by-step explanation:

we have the expression

[tex]\frac{4m^{-3}n^{-2}}{m^{-1} n}[/tex]

Simplify

[tex]\frac{4m^{-3}n^{-2}}{m^{-1} n}=4m^{(-3+1)}n^{(-2-1)}= 4m^{(-2)}n^{(-3)}[/tex]

Substitute the values of m and n in the expression

For[tex]m=-2, n=4[/tex]

[tex]4(-2)^{(-2)}(4)^{(-3)}=4(\frac{1}{4})* (\frac{1}{64})=\frac{1}{64}[/tex]

She applied the exponent -2 to 4(-2) instead of applying the exponent to just -2

Answer: It’s C

Step-by-step explanation:

Juss took a test

The missing dimension of a triangular prism ​is found with the help of the formula for the volume of the prism.

Join the edges of three rectangles. Now, from both ends, seal their triangle mouths. A triangular prism is a name for the form.

The volume of the prism will be;

[tex]\rm V=\frac{1}{2} \times b \times h\times L[/tex]

Where,

b is the triangle's base length

h is the triangle's height

L is the length is the prism length

Hence, the formula for the prism's volume is used to get the missing dimension of a triangular prism.

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Answer:

B). 5.6

Step-by-step explanation:

3.2/x = 4/7

Then, cross-multiply

4x = (3.2) 7

4x = 22.4

x = 5.6

For this case we must find an expression equivalent to:

[tex]\frac{4\sqrt{6}}{\sqrt[3]{2}}[/tex]

We multiply by:

[tex](\frac{(\sqrt[3]{2})^2}{(\sqrt[3]{2})^2})\\\frac{4\sqrt{6}}{\sqrt[3]{2}}*(\frac{(\sqrt[3]{2})^2}{(\sqrt[3]{2})^2})=[/tex]

By definition of multiplication of powers of the same base we have:

[tex]a^n*a^m=a^{m+n}\\\frac{4\sqrt{6}*(\sqrt[3]{2})^2}{(\sqrt[3]{2})^3}=\\\frac{4\sqrt{6}*(\sqrt[3]{2})^2}{2}=[/tex]

Move the exponent within the radical:

[tex]\frac{4\sqrt{6}*\sqrt[3]{2^2}}{2}=\\\frac{4\sqrt{6}*\sqrt[3]{4}}{2}=[/tex]

We rewrite:

[tex]4^{\frac{1}{3}}=4^{\frac{2}{6}}=\sqrt[6]{4^2}\\6^{\frac{1}{2}}=6^{\frac{3}{6}}=\sqrt[6]{6^3}[/tex]

Rewriting the expression:

[tex]\frac{4\sqrt[6]{4^2}\sqrt[6]{6^3}}{2}=\\\frac{4\sqrt[6]{16*216}}{2}=\\\frac{4\sqrt[6]{3456}}{2}=\\\frac{4\sqrt[6]{2^6*54}}{2}=\\\frac{8\sqrt[6]{54}}{2}=\\4\sqrt[6]{54}[/tex]

Answer:

[tex]4\sqrt[6]{54}[/tex]

Answer:

A!!!!

12^sqrt 27/ 2

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

So you give them all a common denominator of 8. This means Maria eats 2/8 of the pizza, Kara eats 1/8 of the pizza, and Tommy eats 3/8 of the pizza. When you add them you get 6/8 which simplified to 3/4.

Answer: 15 cookies and 5 brownies will be required.

Step-by-step explanation:

Given in the question is Eder needs 6 cookies and 2 brownies for 4 plates.

We have to calculate the cookies and brownies required for 10 plates.

Let's first calculate the cookies by unitary method.

⇒ 4 plates required cookies = 6 cookies

⇒  1 plate will require cookies = 6/4

⇒ 10 plates will require cookies = 6×10/4 = 15

Similarly we will calculate the brownies.

⇒ 4 plates required number of brownies = 2

⇒1 plate will require = 2/4 brownies

⇒10 plates will require = 2×10/4 = 5 brownies

⇒Therefore 15 cookies and 5 brownies will be required for 10 plates.

* Hopefully this helps:)

~ 234483279c20~

For 4 plates, an editor needs 1.5 cookies and 0.5 brownies. Thus, for ten plates, they will require 15 cookies and 5 brownies.

Let's start by determining the amount of cookies and brownies the editor needs for 4 plates. As per the given information, the editor needs 6 cookies and 2 brownies for every 4 plates. Therefore, for each plate, the editor will need to have 1.5 cookies (6/4 = 1.5) and 0.5 brownies (2/4 = 0.5).

Now, let's compute how much this would translate to if we have ten plates. Using the ratio we determined earlier, for ten plates the editor would need:

This is the simplest way to figure out how many cookies and brownies are needed for a given number of plates, provided you know how much is needed per plate.

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Answer:

The ending bank balance would be $260.89

Step-by-step explanation:

210.84 - 40.00

170.84

170.84 + 90.05

260.89

Answer:

The ending bank balance would be $260.89

Step-by-step explanation:

210.84 - 40.00  

170.84  

170.84 + 90.05

260.89

Step-by-step explanation:

the assumption here, being that it's a square pyramid, thus its base is a square, namely a 6x6, Check the picture below.

notice, the pyramid has four triangular faces with a height of 9 and a base of 6, and the squarish base, so we can simply get the area of each of those figures and sum them up.

[tex]\bf \stackrel{\textit{area of four triangles}}{4\left[\cfrac{1}{2}(6)(9) \right]}+\stackrel{\textit{area of base}}{(6\cdot 6)}\implies 108+36\implies 144[/tex]

There is approximately a 0.000004% chance you'll get 4 aces. (1/270725)

Hope this helps!

Answer:

I'm going to assume that this is compound interest, as simple interest in this case would not make sense.

Let A be the final amount ( in this case, after 4 years). A = 20,000(1+0.042/12)^12*4. In this formula, I am assuming that the interest compounds 12 times a year, or every month. I am also assuming that he pays it off once he hits the 4-year mark.

If the assumptions are correct, he would be paying $23651.79 at the 4-year mark.

Step-by-step explanation:

Final answer:

Marco will owe approximately $23,521.93 on his unsubsidized student loan after graduation, calculated using the future value formula for a loan with compounded interest.

Explanation:

To calculate the amount Marco will owe after he graduates, we need to apply the formula for the future value of a loan when interest is compounded annually and no payments are made until after a certain period. Since Marco's unsubsidized student loan does not require payments while he is in school, the interest will be capitalized and added to the principal amount of the loan.

The formula for future value FV of a present value PV after n periods at an interest rate r is:

FV = PV * (1 + r)ⁿ

Where:

PV is the initial loan amount ($20,000)

r is the annual interest rate (4.2% or 0.042 as a decimal)

n is the number of periods (years in this case) before he starts repaying the loan (4 years)

Using the formula, we get:

FV = $20,000 * (1 + 0.042)⁴

FV = $20,000 * (1.042)⁴

F = $20,000 * 1.1760965435

FV = $23,521.93

Thus, Marco will owe approximately $23,521.93 once he graduates, before he starts making any payments on the loan.

Do you need help on the Vertical Angles?

Answer:

1. x>4

2.y>-3

Answer:

f(g(-8)) = -26

Step-by-step explanation:

Given:

f(x)=2x and g(x)=2x+3

Required:

f(g(-8))=?

Solution:

First we will find g(-8)

g(x) = 2x+3

g(-8)= 2(-8)+3

      = -16 + 3

      = -13.

so, g(-8) = -13

Now, for calculation f(g(-8)) we can put the value of g(-8) i.e, -13

so, f(x) = 2x

    f(-13)  = 2(-13)

             = -26

so, f(-13) = -26

and f(g(-8)) = -26

Answer:

False

Step-by-step explanation:

Set the data in order.

1, 2, 4, 6, 7, 8, 9, 9, 9

Now try finding the middle of the data set by taking out the sides equally one by one.

1, 2, 4, 6, 7, 8, 9, 9, 9

  2, 4, 6, 7, 8, 9, 9

      4, 6, 7, 8, 9

          6, 7, 8

              7

7 is the median

The median of the data set [1, 2, 6, 7, 8, 9.4, 9.9, 9.9] is not 9.4, but instead is 7.5, which is calculated by getting the average of the two middle values, in this case, 7 and 8.

The given set of data is: [9.4, 9.9, 9.9, 8, 7, 6, 1, 2]. The first step is to put the data in numerical order, so we have [1, 2, 6, 7, 8, 9.4, 9.9, 9.9]. The median is the middle value in an ordered data set. Since this set has an even number of data values (8), the median is calculated as the average of the two middle values. Here, the middle values are 7 and 8. Therefore, to find the median, we add these two values together and divide by 2. Hence, 7 + 8 = 15, and 15 divided by 2 equals 7.5. Therefore, the median of this data set is 7.5, not 9.4.

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Answer:

$140,000(1 - .05)^t

Step-by-step explanation:

you have your total amount $140,000

it is decreased by 5% go behind the number and move two decimal points and you get .05

since is decreasing it would be 1 subtracted by ,05

$140,000(1 - .05)^t

"t" is the years it would be depreciated by

I do not see years but by knowledge i would say it is decreasing

Answer:

Since, the exponential decay function,

[tex]A=P(1-r)^t[/tex]

Where,

P = initial value,

r = rate per period,

t = number of periods,

Here, P = $ 200,000, r = 5% = 0.05,

Thus, the value of the condominium would be,

[tex]A=200000(1-0.05)^t=200000(0.95)^t[/tex]

Which is the required equation.

If A < 140,000

[tex]200000(0.95)^t < 140000[/tex]

By the graphing calculator.

[tex]t< 6.95364[/tex]

Hence, about after 7 years the condominium will be worth less than $140,000.

Answer: You would shift "y=x+3" 5 units down to get "y=x-2".

Step-by-step explanation:

Subtract 3 by 5 and you will get -2.

Hope this helps.