Draw a diagram to represent the fraction 7/8

\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)

Answer:

The division was computed incorrectly.

Step-by-step explanation:

Given

Workings:

\(\frac{5}{8}\) to percentage

\(\frac{8}{5} = 1.6 = 160\%\)

Required

Explain his error

The question says 5/8

Instead, Alejandro's working shows 8/5.

This working is done in an incorrect order and the correct solution is:

Let

\(x = \frac{5}{8}\)

Solve the fraction

\(x = 0.625\)

Multiply by 100%

\(x = 0.625 * 100\%\)

\(x = 62.5\%\)

Hence, option (a) is correct.

Answer:5

Step-by-step explanation:

If you are looking for the distance then start counting on the first decimal and stop at the second

Comparing only the mean distances, we would infer that Henry jogs for a longer distance than Carl.

The mean of a data-set is given by the sum of all observations in the data-set divided by the cardinality of the data-set, which represents the number of observations in the data-set.

To calculate the mean in the context of this problem, we consider the same period of time.

As we are working with the same period of time and Henry has a larger mean, we can conclude that Henry jogs for a longer distance than Carl.

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We know that

Based on the given information, we define the following

The cost to rent a moving van is $51 plus an additional $7 per hour.

Based on the given information,

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be $605.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

Here, Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop.

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be:

= $365 + (5% × $4800)

= $605

The amount is $605.

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Answer:

21.

Step-by-step explanation:

M a t h .

Is the relation a function:

To determine if the relation is a function, we need to check if there is exactly one output for each input.

Looking at the given set of points, we see that there are two points with an x-coordinate of -1: (-1, 3) and (-1, -2).

This means that there are two outputs for the same input, so the relation is not a function.

Therefore, the correct answer is: "No, because for each input there is not exactly one output."

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The answer of given  question is ,the first mechanic worked for 20 hours, and second mechanic worked for 15 hours.

Time is  measure of the duration or interval between events or actions. It is the  fundamental concept in physics, mathematics, and many other fields that deal with the  measurements and quantities.

Let's call the amount of time the first mechanic worked "x" and the amount of time the second mechanic worked "y".

We know that the first mechanic charged $45 per hour, so the amount he charged can be expressed as 45x. Similarly, the amount charged by the second mechanic can be expressed as 100y.

we can write the equation:

x + y = 35

we know that together they charged a total of $2400, so we can write another equation:

45x + 100y = 2400

using this two equations to solve for x and y. First, we can solve the first equation for one of the variables, say x:

x = 35 - y

by substituting this expression for x in the second equation:

45(35-y) + 100y = 2400

Simplifying this equation gives:

1575 - 45y + 100y = 2400

55y = 825

y = 15

Now we know that the second mechanic worked for 15 hours. We can substitute this value of y back into the first equation to solve for x:

x + 15 = 35

x = 20

So  first mechanic worked for the 20 hours, and  second mechanic worked for the 15 hours.

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Please, open a new session with the image of the question attached in the answer tab

When a die is cut horizontally and vertically, the resulting cross sections are a square and a rectangle, respectively.

A die is a cube with six faces, each having a square shape. When the die is cut horizontally, the resulting cross section will also be a square. This is because the horizontal cut passes through the cube's faces, creating a flat surface with the same shape and size as the original faces.

On the other hand, when the die is cut vertically, the resulting cross section will be a rectangle. This is because the vertical cut intersects two adjacent faces of the cube, creating a flat surface with a rectangular shape.

Therefore, cutting a die horizontally produces a square cross section, while cutting it vertically produces a rectangular cross section.

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Answer: 8.4 meters

Step-by-step explanation:

From the question, we are informed that a roll of ribbon was 12 meters long and that Diego cut 9 pieces of ribbon that were 0.4 meter each to tie some presents. The length of ribbon used by Diego for the present would be:

= 9 × 0.4meter

= 3.6 meter.

Therefore, the meters of ribbon that were available for making wreaths would be:

= 12 meters - 3.6 meters

= 8.4 meters

Answer:

5.4

Step-by-step explanation:

We have 12 meters total,Diego: 9 pieces × 0.4 meters= 3.6 meters

So Diego used up 3.6 meters of ribbon

Part A: 9-3.6=5.4 meters left

Answer:

Kindly check explanation

Step-by-step explanation:

The possible outcome of football game is truly (Win lose or draw), hence, if the outcome only depends on just that one team, then the probability of winning is (required / total possible outcomes ; = 1/3). However, in football a game is played with an opposition team, of which there is a lot to consider in other to arrive at a winning probability, one is the relative strength of the teams, result of past meetings and so on. Hence, concluding that the probability of wining a football match is 1/3 based on the possible outcome (Win, lose or draw) is wrong.

Answer:

696 students

Step-by-step explanation:

First we can see that 1200 is 12 times 100.  We can confirm this by doing 1200/100 =12.  Then we see that 58 students out of each 100 like art over music.  So we can do 58*12= 696 because we are just multiplying the ratio of 1:12 to 58:696

Answer:

HEY IMAGE IS BLUR

Step-by-step explanation:

The time it takes for a P100,000 deposit to triple itself at a compound interest rate of 6.1% compounded weekly is approximately 6.12 years.

To find the time it takes for a P100,000 deposit to triple itself at a compound interest rate of 6.1% compounded weekly, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = Final amount (triple the initial deposit)

P = Principal amount (initial deposit)

r = Annual interest rate (6.1% or 0.061 as a decimal)

n = Number of times interest is compounded per year (weekly compounding means n = 52)

t = Time in years

In this case, we have:

A = 3P (triple the initial deposit)

P = P100,000

r = 0.061

n = 52

t = Time (unknown)

Substituting these values into the formula, we have:

3P = P(1 + r/n)^(nt)

Simplifying further, we get:

3 = (1 + 0.061/52)^(52t)

To isolate t, we can take the natural logarithm (ln) of both sides of the equation:

ln(3) = ln((1 + 0.061/52)^(52t))

Using the logarithmic property, we can bring down the exponent:

ln(3) = 52t * ln(1 + 0.061/52)

Now we can solve for t:

t = ln(3) / (52 * ln(1 + 0.061/52))

Using a calculator, the value of t comes out to approximately 6.12 years (rounded to two decimal places).

Therefore, the time it takes for a P100,000 deposit to triple itself at a compound interest rate of 6.1% compounded weekly is approximately 6.12 years.

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Answer:

1/12

Step-by-step explanation:

1

3

−

1

4

=

1

3

+

−1

4

=

4

12

+

−3

12

=

4+−3

12

=

1

12

The super burger uses \(\(1/12\)\) pound more meat than the big burger, with\(\(1/3\)\) and \(\(1/4\)\) pounds respectively.

You can divide the amount of meat in the big burger by the amount in the super burger to determine how much more meat is used for the super burger than the big burger.

Amount of meat in the big burger: 1/4 pound

Amount of meat in the super burger: 1/3 pound

Difference = Amount in super burger - Amount in big burger

Difference =\(\(1/3\) - \(1/4\)\)

To subtract these fractions, you need a common denominator. The least common multiple of 3 and 4 is 12.

Difference = \(\(\frac{4}{12}\) - \(\frac{3}{12}\)\)

Difference =\(\(\frac{1}{12}\)\)

So, the super burger uses \(\(1/12\)\) pound more meat than the big burger.

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Answer:

width=11cm

length = 16cm

Step-by-step explanation:

let the width of rectangle be x.

then length is x+5

perimeter=54

2(x+x+5)=54

2x+5=27

2x=22

x=11

width=11cm

length= x+5 = 16cm

Answer:

width = 11

length = 16

Step-by-step explanation:

Perimeter of a rectangle = 2 (Length + Width)

Length = 5 + width

2 (5 + width + width) = 54

5 + width + width = 27

width + width = 22

width = 11

length = 16

Hope this helps :)

Have a nice day

Answer:

No solutions

Step-by-step explanation:

They have the same slope(5), meaning that they are parallel. since they are parallel they will never touch, thus there are no solutions

Answer:

0=0

Step-by-step explanation:

Okay, here we have this:

Considering that a function is one-to-one if and only if no horizontal line intersects its graph more than once.

So, according with this we any horizontal line that is drawn on the line touches only one point on it, therefore the function is one to one.

Answer:

2 ans ......

Step-by-step explanation:

Solution:

= ³√9-1

= ³√8

= 2 ans....

Answer:

\( \sqrt[3]{9 - 1} = \sqrt[3]{8 } = \sqrt[3]{ {2}^{3} } = + - 2\)

The tree grows a 2.2 feet per year and have an initial height 6.6. So the equation of the height will be 6.6+2.2t.

Let the increase in height be a linear equation,

Let H be the height of the tree, t represent number of years.

We do not know the coefficients.

So, let H = a + b t

When t=o, H = 6.6 , So a= 6.6

When t= 1 , H = 6.6 + 2.2t

So the equation for the height of the tree with respect to years will be

H = 6.6 + 2.2t

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A proportional relationship between d and m is given by \(d =kt\)

Given the following data:

In this exercise, you're required to write a proportional relationship between d and m, and then solve the equation for d.​

Mathematically, distance is directly proportional to time and this is represented as follows:

\(d \;\alpha \; t\)

Simplifying further, we have:

\(d =kt\)

Note: k is the constant of proportionality.

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A relation between sets is referred to as a function when there is exactly one output for each input.

To write the equation y = ax + b in function notation, substitute f(x) for y

The only true statement is the last one. A function assigns exactly one output value to each input value. The domain is the set of all input, or x-values. The range is the set of all output, or y-values.

y=ax+b can be written in function notation by replacing y with f(x).

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Answer: 16870

Step-by-step explanation:

The money that should be invested to the nearest ten dollars, would be in the account after 13 years is $16,870.

Since the invested amount is $8,400

The rate of interest is 5.4%

In quartely it should be \(= 5.4\% \div 4\) = 1.35%

The time period is \(= 13 \times 4\) = 52

So, here the future value be like

\(= \$8,400 \times (1 + 1.35\%)^{52}\)

= $16,870

Hence, The money that should be invested to the nearest ten dollars, would be in the account after 13 years is $16,870.

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Answer:

sqrt(2) it cannot be expressed as a fraction and is not repeating

Step-by-step explanation:

Answer:

Step-by-step explanation:

3.14...

The "..." symbol indicates that a number is 100% irrational.

Hope it helps! ✶    ✶✶

Jοn earned a revenue of $22,000 and Rοn earned $76,000.

What is the basic mathematical οperatiοns?

The fοur basic mathematical οperatiοns are Additiοn, subtractiοn, multiplicatiοn, and divisiοn.

Let j be the amοunt Jοn earned and r be the amοunt Rοn earned in dοllars.

We are given that:

The tοtal amοunt the twins earned is $96,000.

Rοn earned $8,000 mοre than three times what Jοn earned.

Sο we can write the fοllοwing system οf equatiοns:

j + r = 96000    (equatiοn 1)

r = 3j + 8000    (equatiοn 2)

Equatiοn 1 represents the tοtal amοunt the twins earned, and equatiοn 2 represents the amοunt Rοn earned in terms οf what Jοn earned.

Tο sοlve fοr j and r, we can use substitutiοn οr eliminatiοn. Let's use substitutiοn:

Substitute the expressiοn fοr r frοm equatiοn 2 intο equatiοn 1:

j + (3j + 8000) = 96000

4j + 8000 = 96000

4j = 88000

j = 22000

Nοw that we have fοund the value οf j, we can use equatiοn 2 tο find the value οf r:

r = 3j + 8000

r = 3(22000) + 8000

r = 76000

Hence, Jοn earned $22,000 and Rοn earned $76,000.

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Answer:

68%

Step-by-step explanation:

The Empirical rule formula is given as:

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

Where

μ is the population mean

σ is the population standard deviation.

Step 1

Find the number of standard deviations from the mean

μ - xσ and μ + xσ

μ = 175

σ = 13

For 162

175 - 13x = 162

175 - 162 = 13x

13 = 13x

x = 13/13

x = 1

For 188

175 + 13x = 188

13x = 188 - 175

13x = 13

x = 13/13

x = 1

Hence, the data falls with 1 standard deviation of the mean

Therefore, percentage of the games that Mayerlin bowls does she score between 162 and 188 is 68%

Answer:

The answer is 68%

Step-by-step explanation:

Answer:

-> a slope of 3/4

Step-by-step explanation:

The larger the slope the bigger the incline, since 3/4 < 4/3, 3/4 is a shallower slope.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather