Paulo ran a marathon in about 1.56 × 10^4 s. A) Write Paulo's time in standard notation. B) Miguel ran a marathon in 4 h and 16 min. Who ran the race in the shorter amount of time? Show your work. (Question 2) Solve each given equation and show your work. Tell whether each equation has one solution, an Infinite number of solutions, or no solution. Explain your answers. A) 2x+4(x-1)=2+4x , (B) 25-x=15-(3x+10) , (C) 4x=2x+2x+5(x-x). (I posted a picture of question 3). ​

Answer:

The answer is A

Step-by-step explanation:

Answer: The correct Answer Is A BC<MN

Step-by-step explanation:

The simplified expression is -11/40.

The expression -3/8 - 1/10 can be simplified by following these steps:

1. Find a common denominator for the two fractions. The smallest number that both 8 and 10 can divide into is 40.

2. Rewrite the fractions using the common denominator.

  -3/8 = -15/40
  -1/10 = -4/40

3. Subtract the rewritten fractions.

  -15/40 - (-4/40) = -15/40 + 4/40 = -11/40

Therefore, the simplified expression is -11/40.

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Answer:

She uses 243 beads for the 5th string.

Step-by-step explanation:

In this problem, we can see a pattern. If she triples the number of beads in each of the next strings, that means that we just take the last number and multiply by 3. If the first string uses 3, then:

The second uses 9, 3 * 3 = 9

The third uses 27, 9 * 3 = 27

The fourth uses 81, 27 * 3 = 81

And the 5th uses 243, 81 * 3 = 243.

Answer:  see graph (attached)

Step-by-step explanation:

This is 4 line segments on one graph.

Segment 1

y = -2   when x is between -2 and -1

Segment 2

y = -1   when x is between -1 and 0

Segment 3

y = 0   when x is between 0 and 1

Segment 4

y = 1   when x is between 1 and 2

See graph for each of the line segments plotted on the graph

Answer:

D. 69 in.²

Step-by-step explanation:

[tex] {a}^{2} + 2a \sqrt{\frac{ {a}^{2}}{4} + {h}^{2}} = S. A. [/tex]

[tex] {3}^{2} + 2(3) \sqrt{ \frac{9}{4} + (10)^{2}} = 9 + 6[(1\frac{1}{2}) + 10] = 9 + 69 = 78 \\ \\ 78 ≈ 69[/tex]

So, what happened here was that whenever you have squares under the radical, you undo the square root, causing the radical to vanish, so with that, you have your answer.

I am joyous to assist you anytime.

To find the possible lengths of the garden, use the perimeter formula and solve the inequality x <= 27 ft.

To find the possible lengths of your garden, you need to determine the perimeter of the garden. Since you have at most 54 ft of fence, the perimeter must be less than or equal to 54 ft.

Let's assume the length of your garden is 'x', then the width would be (54 - 2x)/2.

The perimeter formula is P = 2L + 2W, so substituting the values we have, 2x + 2[(54 - 2x)/2] <= 54.

Simplifying this inequality, we get x + 54 - 2x <= 54. Solving for 'x', we get x <= 27.

Therefore, the possible lengths of your garden are any value less than or equal to 27 ft.

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Answer:

a)480

b)960

c)1440

Step-by-step explanation:

We are given the following information:

Number of oranges in a box = 24

a)Boxes ordered by Lee for his store = 8

Number of boxes ordered by Lee for his restaurant = 12

Total number of oranges ordered = Total number of boxes ordered × Number of oranges in 1 box

[tex]= (8+12)\times 24 = 20\times 24 = 480[/tex]

b) Now Mr. Lee doubled his order for next week.

Boxes ordered by Lee for his store = 16

Number of boxes ordered by Lee for his restaurant = 24

Total number of oranges ordered = Total number of boxes ordered × Number of oranges in 1 box

[tex]= (16+24)\times 24 = 40\times 24 = 960[/tex]

c) Total number of oranges ordered =

[tex](20\times 24) + (40\times 24) = (20+40)\times 24 = 1440[/tex]

Therefore, total 1440 oranges were ordered by Mr. Lee.

Answer:

I'm gonna take a wild guess and say 180,066 ;)

Answer:

180,066

Step-by-step explanation:

Simply add the two numbers. :) 180,000

                                                    +        66

                                                     -------------

                                                     180,066

4,926 is the answer since of the expanded form written, 4,000 + 900 + 20 + 6, but there is no decimal since nothing says tenths or hundredths or thousandths.

Hope this helped!

Nate

The decimal equivalent of 4 thousands, 9 hundreds, 2 tens, and 6 ones is 4926. This is calculated by adding the value of each quantity: 4000 (from the 4 thousands), 900 (from the 9 hundreds), 20 (from the 2 tens), and 6 (from the 6 ones)

The question is asking for the decimal equivalent of the quantity represented by 4 thousands, 9 hundreds, 2 tens, and 6 ones. To determine the answer, you would simply total the value of each quantity: 4 thousands equals 4000, 9 hundreds equals 900, 2 tens equals 20, and 6 ones equals 6. When you add these values together (4000 + 900 + 20 + 6), you get the total value of 4926 which is the decimal equivalent that we are looking for.

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y = (9 / (x^2))  + 2

Rewrite in terms of f(x):

y = (9/(g(x))) + 2

To get

g(x) = x^2

f(x) = 9/x + 2

Answer:

7.25 and 10.75 Hours

Step-by-step explanation:

Total hours Nalia and Lisa worked = 18 Hours

Nalia worked 3.5 hours then Lisa which is [tex]h[/tex] hours

⇒[tex]h + (h + 3.5) = 18[/tex]

[tex]2h + 3.5 = 18\\2h = 18 - 3.5\\2h = 14.5\\h = \frac{14.5}{2} \\h = 7.25[/tex]

Lisa has worked for 7.25 hours

Nalia has worked for = 7.25 + 3.5 = 10.75 hours

Answer:

the answer will be 12/30

Answer:

x=y-4

Step-by-step explanation:

y=x+4

-4

y-4=x

Answer:

Option A.

Step-by-step explanation:

y = x + 4

As we know if we perform a similar operation on both the sides of the equation it doesn't affect the parent equation.

So we subtract 4 on both sides of the equation

y - 4 = (x + 4) - 4

x = y - 4

Therefore, option A. will be the answer.

In mathematics, a ratio is the correct term to fill in the blank. It's a division-based comparison of two quantities, such as 4 apples to 2 oranges being a 2:1 ratio, indicating two apples for every orange

A ratio is a comparison of two quantities by division. For example, if you have 4 apples and 2 oranges, the ratio of apples to oranges is 4/2 or 2:1. This means you have two apples for every one orange. Therefore, a ratio is described as a fraction or a division that reveals.

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Answer: 5;6

Step-by-step explanation:

10 divided by 2 is 5

12 divided by 2 is 6 and plus I got this answer correct

Equivalent ratios are ratios that hold the same value.

[tex]\mathbf{(c)\ 5 : 6\ and\ 20 : 24}[/tex] are equivalent to 10:12

The ratio is given as:

[tex]\mathbf{Ratio = 10 : 12}[/tex]

Divide by 2

[tex]\mathbf{Ratio = 5 : 6}[/tex]

This means that, the two ratios to look out for must have the same value as 5 : 6.

From the list of options, we have:

[tex]\mathbf{(c)\ 5 : 6\ and\ 20 : 24}[/tex]

Divide 20 and 24 by 4

[tex]\mathbf{(c)\ 5 : 6\ and\ 5 : 6}[/tex]

Hence, [tex]\mathbf{(c)\ 5 : 6\ and\ 20 : 24}[/tex] are equivalent to 10:12

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the simplified expression is [tex]\( 10x + 8 \)[/tex].

To simplify the expression[tex]\( 10x - 12y + 8 + 12y \)[/tex] by combining like terms, follow these steps:

1. Combine the terms with the same variable:

[tex]\[ 10x - 12y + 8 + 12y \] \[ = (10x) + (-12y + 12y) + 8 \] \[ = 10x + 0y + 8 \] \[ = 10x + 8 \][/tex]

So, the simplified expression is [tex]\( 10x + 8 \)[/tex].

Answer:

624

Step-by-step explanation:

Answer: 9.8

Step-by-step explanation:

The group set out to make sure woman knew how to use their votes wisely is NWSA

The National Woman Suffrage Association (NWSA) was formed on May 15, 1869, to work for women's suffrage in the United States. Its main leaders were Susan B. Anthony and Elizabeth Cady Stanton.

Given is to find out which group set out to make sure woman knew how to use their votes wisely.

The NWSA wanted a constitutional amendment to secure the vote for women, but it also supported a variety of reforms that aimed to make women equal members of society.

Therefore, the group set out to make sure woman knew how to use their votes wisely is NWSA.

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Answer:

D: f(g(-1)) = 1/2

Step-by-step explanation:

f(x) = 1/(x + 1)

g(x) = x²

g(-1) = 1

f(g(-1)) = 1/(1 + 1)

f(g(-1)) = 1/2

Answer: 0.35

Step-by-step explanation: To write a percent as a decimal, first remember that a percent is a ratio that compares a number to 100. We can think of 35% as the ratio 35 to 100 or 35 ÷ 100. Remember that dividing by 100 moves the decimal point 2 places to the left. Therefore, 82 ÷ 100 would move the decimal point 2 places to the left which would give us .35 or 0.35.

35% can be written as the decimal 0.35.

The decimal equivalent of 35% is 0.35 .

Given,

35%

Now,

To write a percent as a decimal, first remember that a percent is a ratio that compares a number to 100. We can think of 35% as the ratio 35 to 100 or 35 ÷ 100. Remember that dividing by 100 moves the decimal point 2 places to the left.

Therefore, 35 ÷ 100 would move the decimal point 2 places to the left which would give us .35 or 0.35.

Hence,

35% can be written as the decimal 0.35.

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Answer:

The father start with $16

Step-by-step explanation:

Let

x -----> the original amount of money

step 1

Your father gives one-half of the money in his pocket to your mother

[tex]\frac{1}{2}(x)=\frac{1}{2}x[/tex]

The remaining is

[tex]x-\frac{1}{2}x=\frac{1}{2}x[/tex]

step 2

Your father gives, one-fourth of what is left to your brother

[tex](\frac{1}{4})\frac{1}{2}x=\frac{1}{8}x[/tex]

The remaining is

[tex]\frac{1}{2}x-\frac{1}{8}x=\frac{3}{8}x[/tex]

step 3

Your father gives one-third of what then remains to your sister

[tex](\frac{1}{3})\frac{3}{8}x=\frac{3}{24}x[/tex]

The remaining is

[tex]\frac{3}{8}x-\frac{3}{24}x=\frac{6}{24}x=\frac{1}{4}x[/tex]

step 4

Your father gives the rest with you

[tex]\frac{1}{4}x=\$4[/tex]

[tex]x=\$16[/tex]

therefore

The father start with $16

Answer:

14107 sold in Wyoming

Step-by-step explanation:

98749 / 7

Final answer:

To find out how many keyboards are sold in Wyoming when the number sold in California is given, divide the California sales by 7. Resulting in 14,107 keyboards sold in Wyoming

Explanation:

Mathematics:

The average number of electronic keyboards sold in California each year is seven times the average number sold yearly in Wyoming. If 98,749 keyboards are sold in California, you can find out how many are sold in Wyoming by dividing the number sold in California by 7.

Step-by-step explanation:

98,749 keyboards sold in California / 7 = Number of keyboards sold in Wyoming

98,749 / 7 =   14,107 keyboards sold in Wyoming

The shape described is a square, having four sides, two pairs of parallel sides, and four right angles, making it two sides fewer than a hexagon.

The shape you are referring to is one with four sides, two pairs of parallel sides, and four right angles. A hexagon has six sides, so a shape with two fewer sides would have four sides. This description matches that of a rectangle. However, since all angles are right angles, which is 90 degrees, this particular rectangle is also a square. Therefore, the pattern block shape you are asking about is a square, which fits the criteria of having two fewer sides than a hexagon, two pairs of parallel sides, and four right angles.

Answer:

Step-by-step explanation:

We create a table of all numbers from 200 to 300.

Look at the picture (#1).

We cross out all even numbers (#2).

We find the first number divisible by 3 (201) and cross out every third number (#3).

We continue this way (numbers divisible by 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41,...).

In your task, it is enough until 17.

Answer and Step-by-step explanation:

Good Day Mate!

The prime numbers from [tex]200[/tex] to [tex]300[/tex] are : [tex]211, 223, 227, 229, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293[/tex]

There are about 14 prime numbers from 200 to 300!

Answer:

the other part = 72 = 4*18

18+72 =90

The splitted values of a and b based on the conditions given in the question are :

Let the two parts be a and b

Hence,

From (1) :

Therefore ; From (1) :

Therefore, the two parts of a and b are 18 and 72 respectively.

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Answer:

x = 60

Step-by-step explanation:

Combine like terms on the left side of the equation: 2x + x = 3x; -1 + 1 = 0 so the total for the left side is just 3x. Now compare it to the full equation that you have left now, 3x = 180 now do 180/3 = 60

Hope this helps!