Rob spent 25%, percent more time on his research project than he had planned. He spent an extra h
hours on the project.
Which of the following expressions could represent the number of hours Rob actually spent on the project?

As in the first four terms, I assume that means using the equation with 1,2,3,4.

11) if n = 1, the answer would be 3.

If n = 2, the answer would be 10.

If n = 3, the answer would be 17.

If n = 4, the answer would be 24.

12) If n = 1, the answer would be 55.

If n = 2, the answer would be 45.

If n = 3, the answer would be 35.

If n = 4, the answer would be 25.

An explicit formula is used to find any term in a sequence by putting in the number of that term in place of the unknown variable.

In order to find the first four terms, we need to plug values, from 1-4, separately in each of the formulas.

For f(n) = 7(n+1) - 11, put values from 1-4 in place of n:

f(1) = 7(1+1) - 11 = 3 ----> First term

f(2) = 7(2+1) - 11 = 10 ----> Second term

f(3) = 7(3+1) - 11 = 17 ----> Third term

f(4) = 7(4+1) - 11 = 24 ----> Fourth term

For f(n) = 65 - 10n, put values from 1-4 in place of n:

f(1) = 65 - 10(1) = 55 ----> First term

f(2) = 65 - 10(2) = 45 ----> Second term

f(3) = 65 - 10(3) = 35 ----> Third term

f(4) = 65 - 10(4) = 25 ----> Fourth term

The domain is the input values ( x values).

These would be the numbers that the arrows are pointing away from.

The domain is (-2, 0 , 1, 3 , 5)

The answer is D for the quick answer

Combine the like terms (8y and 13y) in the given algebraic expression (8y - 5x + 13y), which equals 21y. Thus, after simplifying, the equivalent expression is 21y - 5x.

The given expression is 8y - 5x + 13y. In order to simplify it, combine the like terms. The like terms here are 8y and 13y because they both include the variable 'y'. By adding 8y and 13y, we get 21y. Thus, the simplified version of the given expression is 21y - 5x. So, the correct answer is Option A: 21y - 5x.

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Answer:

2

Step-by-step explanation:

we will always start order of operation from left to right

Left most is :

twelve times h

so, [tex]12 \times h[/tex]

Right side is :

one hundred and twenty minus thirty-six

[tex]120-36[/tex]

now, we can set them equal

we get

[tex]12 \times h=120-36[/tex]

so, the equation is

[tex]12 \times h=120-36[/tex]................Answer

https://socratic.org/questions/the-ratio-of-boys-to-girls-at-a-college-is-4-5-how-many-boys-and-are-there-if-th

there would be 124 boys in the class

Answer:

Sum of 367 and 863 is equal to the sum of 863 and 367. Thus, 367 is the required number.

Step-by-step explanation:

Commutative property of Addition

Let a and b be two real numbers. Then commutative property of addition states that the sum of a and b is equal to the sum of b and a that is

[tex]a + b = b + a[/tex]

Similarly, we a re given here,

[tex]367 + 863 = 1230\\1230 = 863 + 367[/tex]

Thus, sum of 367 and 863 is equal to the sum of 863 and 367.

Thus, 367 is the required number.

Answer:

the answer is 10

Step-by-step explanation:

2(x - 2) + 3(x + 1) = 9

2x - 4   + 3x + 3  = 9      distributed the 2 and 3 on the left side

               5x - 1   = 9      added like terms (2x + 3x) and (-4 + 3)

                     5x = 10      added 1 to both sides

                       x  = 2       divided 5 from both sides

Answer: x = 2

Answer: [tex]-\frac{3}{5}[/tex]

Step-by-step explanation:

If you solve for y, then it will be in y = mx + b format where m is the slope.

3x + 5y = 29

-3x           -3x

       5y = -3x + 29

       [tex]\frac{5y}{5} = \frac{-3x}{5} + \frac{29}{5}[/tex]

       [tex]y = \frac{-3}{5}x + \frac{29}{5}[/tex]

m = [tex]-\frac{3}{5}[/tex]

To find the slope of the line for the equation 3x+5y=29, rewrite it in slope-intercept form y=mx+b. After isolating y, you'll find that the slope m is -3/5.

To find the slope of the line represented by the equation 3x + 5y = 29, we need to rewrite the equation in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

First, we solve for y:

Now, the equation is in slope-intercept form, and we can easily identify the slope as -3/5. This means there is a decrease of 3 on the vertical axis for every increase of 5 on the horizontal axis. Thus, the slope of the line is -3/5.

25 water stations, 15000/600 = 25

Final answer:

Yes, a semi-regular tessellation can be created using squares and regular hexagons. One example of this is the honeycomb pattern, which consists of hexagons surrounded by squares.

Explanation:

Yes, it is possible to create a semi-regular tessellation using only squares and regular hexagons. A semi-regular tessellation is a pattern that repeats using two or more regular polygons, but with different arrangements around each vertex.

One example of a semi-regular tessellation using squares and regular hexagons is the honeycomb pattern. In this pattern, the squares and hexagons are arranged in such a way that they fill the plane without any gaps or overlaps.

To create the honeycomb pattern, you start by placing a regular hexagon in the center. Then, surround the hexagon with six squares, with each square touching two sides of the hexagon. Finally, place a hexagon on each side of the square, with each hexagon touching two sides of the square and one side of the adjacent hexagon. Repeat this pattern to create a tessellation.

Answer:Magnitude of voltage is 41.9963 volts

Step-by-step explanation:

Given that current I =5.772-5.323i mA

          and impedance, Z=3.342+4.176i kilo ohms

Then voltage in the circuit = IZ

                                            [tex]=(5.772-5.323i)X10^{-3}X(3.342+4.176i)X10^{3}[/tex]

                                      [tex]V=(5.772-5.323i)X(3.342+4.176i)[/tex]

                                      [tex]V=19.290024+24.103872i-17.789466i-23..5148848i^{2}[/tex]

                                     [tex]V=41.518892+6.314406i[/tex]

Magnitude of V = [tex]\sqrt{41.518892^{2} +6.314406^{2} }=\sqrt{1763.6901}=41.9963volts[/tex]

Can u tell me what math book this was from ?

Step-by-step explanation:

Answer:

[tex]44\ gallons[/tex]

Step-by-step explanation:

we know that

A fish tank holds [tex]80[/tex] gallons of water

so

By proportion

Find how many gallons represent [tex]55\%[/tex] of the total tank capacity.

[tex]\frac{80}{100}\frac{gallons}{\%} = \frac{x}{55}\frac{gallons}{\%}\\ \\x=55*80/100\\x= 44\ gallons[/tex]

There are 44 gallons of water in the tank. This is calculated by converting the percentage full into a decimal (0.55) and multiplying it by the total capacity of the tank (80 gallons).

The question is asking how many gallons are currently in the fish tank that is 55% full and has a total capacity of 80 gallons.

First, you need to convert the percentage of the tank that is full (55%) to a decimal. To do this, you divide the percentage by 100.

So, 55 divided by 100 equals 0.55.

Next, you multiply this decimal by the total capacity of the tank to find out how many gallons are currently in the tank. 0.55 times 80 equals 44. Therefore, there are 44 gallons of water in the fish tank now.

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Answer:

120:240, 1:2

1:2, 70:140

Answer: x=140

Step-by-step explanation:

250 and 120 both adds up to 370 but 350 of the male play sports. So u answer can't be sloved

One hundred male athletes in the school play baseball only. This is determined by subtracting the number of males who play both sports and who play only basketball from the total number of male athletes.

The question states there are 350 male athletes in total at the high school. We know that 250 males play basketball and that 120 males play both sports. To figure out the amount of males who play baseball, we first subtract the number of males who play basketball and both sports from the total number of male athletes.

Therefore, the calculation would be as follows:

So, there are 100 males that only play baseball according to the given information.

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Prime numbers mean that their factors are only the number itself and 1.

2, 3, 5, 7, 11, etc. all fall under this category.

note however, that the numbers have to be less than 8: [2, 3, 5, 7] are your choices

2 + 3 = 5

5 + 5 = 10

10 + 7 = 17

Therefore, {2, 3, 5, 7} are your answers

hope this helps

Answer:

2,3,4,5,7

Step-by-step explanation:

(7/3)/(9/2)=(14/27)/1

Answer: 59.5 minutes.

Step-by-step explanation:

1. You have the following information given in the problem above:

- 8 songs are 4.25 minutes long.

- 3 songs are twice as long as each of the others.

2. Therefore, the total time of 8 songs is:

[tex](8)(4.25min)=34min[/tex]

3. And the total time of the 3 songs is:

[tex](2)(3)(4.25min)=25.5min[/tex]

4. Therefore, you have that the result is:

[tex]34min+25.5min=59.5min[/tex]

The concert is 59.5 minutes long.

Let's break down the problem step-by-step:

8 songs x 4.25 minutes = 34 minutes

2 x 4.25 minutes = 8.5 minutes per song

3 songs x 8.5 minutes = 25.5 minutes

34 minutes + 25.5 minutes = 59.5 minutes

So, the total duration of the concert is 59.5 minutes.

Answer:

Using definition of midpoint, Q is the mid point of PR.

Step-by-step explanation:

Given 2PQ=PR

And Q lies on the line PR (It should be given in the problem itself else we have to assume it to prove "Q is the midpoint of PR").

Then PR=PQ+QR using segment addition postulate.

Let us plugin PR in given equation.

2PQ=PQ+QR

Subtract PQ from both sides.

2PQ-PQ=PQ+QR-PQ

PQ=QR

Since Q lies on the line PR and PQ=QR, Q is the mid point of PR.

Hence proved.

In geometry, if 2PQ=PR, point Q is the midpoint of PR. This is because the given condition implies that the length of segment PQ is half of the length of the whole segment PR, meaning Q divides PR into two segments of equal lengths.

In Geometry, the statement 2PQ=PR is the given condition. Prior to your question, we are assuming that PQ and QR are line segments. This would imply that P, Q, and R all lie on the same line, with P and R being the endpoints and Q somewhere between them.

Now, the provided condition (2PQ=PR) means that the length of segment PQ is half of the length of the whole segment PR. If we assume segment PQ is 'a' units long, then 2PQ would be '2a' units long. According to the equation, PR is also '2a' units long.

By definition, the midpoint of a line segment is the point that divides the segment into two segments of equal length. Since PQ is half of PR, point Q would divide PR into two equal segments, PQ and QR, both being 'a' units in length. Therefore, Q is the midpoint of PR.

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Answer: The correct option is D.

Explanation:

It is given that in January, Bangkok is hotter than Cape Town while Cape Town is hotter than Moscow.

Since Bangkok is hotter than Cape Town, it means the temperature of Bangkok is more than  or greater than the Cape town.

[tex]\text{Bangkok's temperature}>\text{Cape Town's temperature}[/tex]  .... (1)

Since Cape Town is hotter than Moscow, it means the temperature of Cape town is more than or greater than the Moscow.

[tex]\text{Cape Town's temperature}>\text{Moscow's temperature}[/tex]    ..... (2)

From equation (1) and (2) we get,

[tex]\text{Bangkok's temperature}>\text{Cape Town's temperature}>\text{Moscow's temperature}[/tex]

Therefore, the correct option is D.

The Correct answer is d

We need to find the lowest common multiple of 8 and 12.

Reminder that the LCM is the lowest number that divides evenly with both of the given numbers.

We can make a chart and see that:

Multiples of 8: 8, 16, 24, 32

Multiples of 12: 12, 24...wait! We have a match with 24!

Therefore, there will be 24 more games until both events will occur.

Subtracting whole numbers does not include subtracting negative numbers, whereas when subtracting integers you can include negative numbers.

Answer:When subtracting whole numbers it is like normal addition whereas in subtraction of integers you can include any integers including negative ones

Step-by-step explanation:

For this one, the best way to do it is write out you formulas, then solve for the first one and see if it works for the second one.

I am going to use h for hamburgers and d for drinks to make it easier.

2h+5d=8

2h+3d=6

So what I did was make the drinks 1, this way you can see if you need to raise it or if the hamburgers could come out even.  When you do that here is what it looks like:

2h+5(1)=8

2h+5=8

2h=3

h=1.50

So here is what you have as of now

h= 1.50 and d= 1

now plug that into the next problem

2h+3d=6

2(1.50)+3(1)=6

3+3=6

So that is your answer

Hamburgers are $1.50

and Drinks are $1

Hope this helps!

Hamburgers cost 1.50 each and its 1.00 for each drink