I need help I don't understand how to do this

Answer:

The total distance is 41/9 = 4 5/9 miles

Step-by-step explanation:

Total time is 2 1/2 hours.  

First hour, he walks 1 2/3 = 5/3 miles.

Second hour, he walks 1 3/4 = 7/4 miles.

The last half hour he walks 1/4 of total distance. If we call total distance x.

[tex]\frac{5}{3} + \frac{7}{4} +\frac{x}{4} = x[/tex]

Now, we can eliminate the denominator, multiplying by four and by three.  

[tex]5*4 + 7*3 + 3*x = 4*3*x\\20 + 21 + 3x = 12 x\\41 +3x = 12x \\41 = 12x - 3x\\41 = 9x\\x = 41/9\\x = 4 \frac{5}{9}[/tex]

Total distance is 4 5/9 miles

125 three-letter "words" can be made from 5 letters "FGHIJ" if repetition of letters.

A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected.

We need to find  three-letter "words" can be made from 5 letters "FGHIJ" if repetition of letters.

The given letters are FGHIJ.

As we need to find three letter words.

This can be done by using 5³ as the repetitions are allowed.

Five power cube number of three words can be formed.

5×5×5

One hundred twenty five.

125

Hence, 125 three-letter "words" can be made from 5 letters "FGHIJ" if repetition of letters.

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The expression correctly shows the total money Betty has left is $70 + (−$9) + (−$7). The correct option is B.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Betty had $70. she bought a necklace for $9 and a ring for $7. The expression for the amount left will be written below,

The amount of the necklace and ring will be deducted from the initial amount,

E = $70 + (−$9) + (−$7)

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Answer:

Mixed number is [tex]4\frac{7}{8}[/tex] and the simplified form of this mixed number is [tex]\frac{39}{8}[/tex].

Step-by-step explanation:

The two mixed numbers are

[tex]-3\frac{1}{4}=-\frac{13}{4}[/tex]

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

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

Now we will multiply these negative fractions.

[tex](-\frac{13}{4})(-\frac{3}{2})[/tex]

When two negative signs get multiplied they become positive.

= [tex]\frac{13}{4}\times \frac{3}{2}[/tex]

= [tex]\frac{39}{8}[/tex]

= [tex]4\frac{7}{8}[/tex]

Therefore, mixed number is [tex]4\frac{7}{8}[/tex] and the simplified form of this mixed number is [tex]\frac{39}{8}[/tex].

The length of the rectangular table cloth  is [tex]\mathbf{ 3\dfrac{1}{3} m}[/tex]

A rectangle is a plane figure that has an equal size of the opposite side. These sides are called the length and the width.

Mathematically;

The area of the rectangle = Length × width

From the parameters given:

Using the formula for the area of a rectangle, we have:

[tex]\mathbf{4 \dfrac{1}{6} m^2 =length \times 1 \dfrac{1}{4} \ m }[/tex]

[tex]\mathbf{ \dfrac{25}{6} m^2 =length \times \dfrac{5}{4} \ m }[/tex]

Multiply both sides by [tex]\mathbf{\dfrac{4}{5}\times \dfrac{1} {m}}[/tex]; we have:

[tex]\mathbf{ \dfrac{25}{6} m^2 \times \mathbf{\dfrac{4}{5}\times \dfrac{1} {m}} =length \times \dfrac{5}{4} \ m \times \mathbf{\dfrac{4}{5}\times \dfrac{1} {m}}}[/tex]

[tex]\mathbf{ length = \dfrac{25}{6} m \times \mathbf{\dfrac{4}{5}} }[/tex]

[tex]\mathbf{ length = \dfrac{5}{3} m \times \mathbf{\dfrac{2}{1}} }[/tex]

[tex]\mathbf{ length = \dfrac{10}{3} m}[/tex]

[tex]\mathbf{ length = 3\dfrac{1}{3} m}[/tex]

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10m, 11m, 15m is not a right triangle

15m, 8m, 17m is a right triangle

The elevator travels 4/3 levels per second, or floors per second.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given, an elevator traveled from the 10th floor to the 2nd floor in 6 seconds.

Elevator cover total distance = 10 -2 = 8 floors

since it took elevator 6 seconds

thus

elevator travels in 6 seconds = 8 floor

elevator travels in 1 seconds = 8/6 =4/3  floor

Therefore, the rate of the elevator in floors per second is 4/3 floor per seconds

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Step-by-step explanation:

let the given ages be 2x , 4x and 5x.

Here,

2x + 4x +5x =33

or,x = 33/ 11

or,x =3

Hence,

2x =2 (3)=6years

4x=4(3)=12years

5x=5(3)=15years

Answer:

6,12,15

Step-by-step explanation:

Let the ages be 2x,4x,5x

Given

2x+4x+5x=33

11x=33

x=3.

2x=2×3=6

4x=4×3=12

5x=5×3=15

Answer:

A. 1/3

Step-by-step explanation:

Suppose x represents the amount of the water ( in cups ) wasted in t minutes,

∵ The amount of water wasted varies directly with the amount of time the faucet drips,

⇒ x ∝ t

⇒ x = kt

Where,

k = constant of variation,

If x = 1, t = 3,

[tex]\implies 1 = k(3)\implies k = \frac{1}{3}[/tex]

Hence, the constant of variation is [tex]\frac{1}{3}[/tex]

OPTION A is correct.

After six hours, the tide is 11 feet high.

For given question,

We have been given a function [tex]f(t)=5\times cos((\frac{\pi}{4} )t)+11[/tex]

which represents the tide in Dark Sea and t represents the time in hours.

We need to find the height of the tide after 6 hours.

For t = 6, we need to find the value of function f(t)

[tex]\Rightarrow f(6)=5\times cos((\frac{\pi}{4} )6)+11\\\\\Rightarrow f(6)=5\times cos((\frac{3\pi}{2} ))+11\\\\\Rightarrow f(6)=0+11\\\\\Rightarrow f(6)=11[/tex]

Therefore, after six hours, the tide is 11 feet high.

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Answer:

The factors of the expression are 6/7, c and d.

Step-by-step explanation:

The given expression is

[tex]\frac{6}{7}cd[/tex]

We need to find the factors of the expression.

Factors: Numbers and variables multiplied to get an expression, then these numbers and variables are known as factors.

The factor form of given expression is

[tex]\frac{6}{7}cd=\frac{6}{7}\times c\times d[/tex]

Therefore, the factors of the expression are 6/7, c and d.

Final answer:

John's hourly wage is calculated to be $15 per hour. For 17 hours of work at this rate, John would earn $255.

Explanation:

John made $195 for 13 hours of work, which means his hourly wage is the total amount earned divided by the total hours worked. To find John's hourly wage we calculate $195 ÷ 13 hours = $15 per hour. To determine how much he would make for 17 hours of work at this same rate, we multiply his hourly wage by 17 hours.

$15 per hour × 17 hours = $255

Therefore, at the same hourly rate, John would make $255 for 17 hours of work.

multiply miles per day by number of days

348.2 * 2.5 = 870.5 miles