Pablo is training for a marathon. He ran 5 4/8 miles on Friday, 6 5/8 miles on Saturday, and 7 4/8 miles on Sunday. How many miles did he run on all three days?

Steps to solve:

8j - k + 14; j = 0.25 and k = 1

~Substitute

8(0.25) - (1) + 14

~Simplify

2 - 1 + 14

~Subtract

1 + 14

~Add

15

Best of Luck!

Answer:

[tex]8j - k + 14 \\ 8 \times0 .25 - 1 + 14 \\ 2 - 1 + 14 \\ 1 + 14 = 15[/tex]

hope this helps you...

Answer:

y=32x-32

Step-by-step explanation:

this time no algorithm or equation was needed i saw that if the equation was y=32x there would be ordered pairs (1,32) and (2,64) so to delay it by 1  on the x side just subtract the slope from the y - intercept sorry if that doesn't make sense

Answer:

The correct answer is perimeter is given by 2 × ( l + w), where l is the length and w is the width of the rectangle.

Step-by-step explanation:

A rectangle has a length of 6 feet and a width of 4 feet. The perimeter of the rectangle can be found using the equation =2×6+2×4.

Let l be the length and w be the width of a rectangle.

Since there four sides of a rectangle, the perimeter is given by adding all the sides.

Therefore perimeter of the rectangle is given by l + l + b + b = 2×l +2×w = 2 × ( l + w).

The equation given by 2 × ( l + w) can also be used to find the perimeter of any given rectangle.

Answer:

J=10

S=6

Step-by-step explanation:

20j+25s=350

j=s+4

are the equations in the system of equations.

If you substitute them into each other they give you your answer.

Answer:

10 ; 6

Step-by-step explanation:

Ironed by Sydney:

25t

Ironed bu Jordan:

20(t+4) = 20t+80

25t + 20t + 80 = 350

45t = 270

t = 6

Jordan: 6 + 4 = 10

Answer:

A frequency is the number of times a given datum occurs in a data set.

Step-by-step explanation:

Answer:

x-25 = 40

Step-by-step explanation:

Let the number of cookies made = x

The employees bake 40 cookies which is 25 less than the number of donuts they make

Number of Cookies is less than Number of Donuts by 25

Therefore the equation that describes the situation is given as:

x-25 = 40 where x is the number of cookies made.

Answer:

The equation is not correct

Step-by-step explanation:

Lets break it down

Cookies = 40

Donuts lets call it x since we dont have a figure

It is said that the 40 cookies is 25 less than the number of donuts

So therefore

x less than 25 = 40

x-25=40

To get x we add 25 to each side

x-25+25=40+25

x=65

Equation should be

x-25=40

That is 65-25 =40

Answer:

The expression will be x = 30/6 and she'll have 5 buttons in each box.

Step-by-step explanation:

In order to write the expression for the number of buttons in each box we first need to attribute a variable to that value, in this case we will use "x". The number x will be given by the division of all the buttons she has by the number of boxes she wants to organize them in. We have:

x = (number of buttons)/(number of boxes)

x = 30/6 = 5 buttons per box

The expression will be x = 30/6 and she'll have 5 buttons in each box.

Answer: The length of the dotted line is 3.75 inches.

Please refer to the picture attached for the missing part of the question

Step-by-step explanation: From the information given we have a regular hexagon, that is a six-sided polygon (all sides equal) with the perimeter given as 7.5 inches. The perimeter is the distance all around the figure, hence to determine the length of one side,

Length = 7.5/6

Length = 1.25

Also, the interior angles of a hexagon can be derived with the formula;

Angles = 180 (n - 2)

Where n is the number of sides of the polygon

Interior Angles = 180 (6 - 2)

Interior Angles = 180 x 4

Interior Angles = 720

If the total of the interior angles equals 720, then each angle can be calculated as;

Each Angle = 720/6

Each Angle = 120

Please refer to attached picture tagged SOLUTION Diagram)

Taking triangle GED as shown in the picture, angle E and angle D measure 60 degrees each. This is because angle E in the entire hexagon ABCDEF measures 120 degrees. The line from point G in the center of the hexagon divides the angle into two equal halves. Same applies to all other five angles in the hexagon. Having angle E and D equal to 120 (that is 60 + 60) angle G would be equal to 180 - 120 {sum of angles in a triangle equals 180) which gives us 60. In effect we have an equilateral triangle, with all angles equal. This also means all sides are equal, hence if line ED equals 1.25, it simply means line GE and line GD equals 1.25 as well.

From this result we can now conclude that the line that runs across the hexagon from point F to point C is 1.25 plus 1.25 which equals 2.50.

The dotted line as indicated in the question runs across one side of the hexagon and all through another hexagon, hence the total length of the dotted line equals;

Dotted line = 1.25 + 2.50

Dotted line = 3.75

Therefore the length of the dotted line is 3.75 inches

Answer:

#1: 11 cm

#2: 16.5 in

#3: 2.5 feet

Step-by-step explanation:

#1

[tex]P=2l+2w[/tex] Solve for width by substracting 2l on both sides to isolate 2w

[tex]P-2l=2w[/tex]

or

[tex]2w=P-2l[/tex]

Replace.

[tex]2w=26-2(2)\\2w=26-4\\2w=22\\w=\frac{22}{2}\\ w=11cm[/tex]

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

#2

[tex]P=2l+2w[/tex]

[tex]P=2(3.5)+2(4.75)\\P =7+9.5\\P=16.5in[/tex]

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

#3

[tex]P=2l+2w[/tex]

Solve for l

[tex]2l=P-2w\\2l=7-2(1)\\2l=7-2\\2l=5\\l=\frac{5}{2}\\ l=2.5feet[/tex]

Answer:

27 inches

Step-by-step explanation:

you divide 2160 by 80 to get the number of inches

2160/80=27

Step-by-step explanation:

4(5x-2) = 2(9x+3)

20x-8 = 18x+6

20x-18x = 6+8

2x=14

x= 14/2

∴ x= 7 [ANS]

Answer:

They need to buy 3 litters of lemonade, 1.5 litters of pineaple juice and 1.5 litters of ginger ale.

Step-by-step explanation:

In order to calculate the amount of each ingredient they need for 6 liters of punch we can first create fractions for each ingredient based on the proportions we were given. This is shown bellow:

2 litters lemonade + 1 litter pineapple juice + 1 litter ginger ale = 4 litters punch

Then we have:

lemonade = 2/4

pineaple juice = 1/4

ginger ale = 1/4

If we want to make 6 liters of punch we can just apply this fractions to know how much of each we need:

lemonade = 6*(2/4) = 12/4 = 3 litters

pineaple juice = 6*(1/4) = 1.5 litters

ginger ale = 6*(1/4)  = 1.5 litters

They need to buy 3 litters of lemonade, 1.5 litters of pineaple juice and 1.5 litters of ginger ale.

Answer:

42 Volunteers

Step-by-step explanation:

The time (T) that it takes a group of volunteers to construct a house varies inversely as the number of volunteers (V).

This is written as:

[tex]V \propto \frac{1}{T} \\$Introducing the variation constant k\\V = \frac{k}{T}\\$It takes 20 volunteers to build a house in 63 hours.$\\When V=20, T=63\\V = \frac{k}{T}\\20 = \frac{k}{63}\\k=20*63=1260\\$Therefore, the equation connecting V and T is:$\\V = \frac{1260}{T}\\$When T=30 hours, we want to determine the number of volunteers needed V$\\V = \frac{1260}{30}=42\\$42 Volunteers will be needed.$[/tex]

Answer:

527.52 in2 of paper.

Step-by-step explanation:

The area of the water bottle label can be calculated by the product of its circunference length and its height.

The length of its circunference is calculated as:

C = 2 * pi * r

C = 2 * 3.14 * 2 = 12.56 inches

Now, to find the area of the label, we just multiply the length by the height:

Area = C * h = 12.56 * 3.5 = 43.96 in2

As we want to know the amount of paper for 12 water bottles, we multiply the area of one label by 12:

Total Paper = 12 * 43.96 = 527.52 in2

It will be needed 527.52 in2 of paper.

Step-by-step explanation:

diameter=7 inches

Area of the circle= π(7/2)² inches²

=38.465

38.5 inches²

Answer:

38.5 inches

Step-by-step explanation:

r = 1/2d

r = 1/2 × 7

r = 3.5

[tex] \boxed{ \bold{formula = \pi \: {r}^{2} }}[/tex]

= 3.14 × 3.5 × 3.5

= 38.465 inches

Find its area to the nearest tenth

38.465 inches

= 38.5 inches

Answer:

Are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal.

Answer:

The correct answer is 7 : 8.

Step-by-step explanation:

There are 14 girls and 2 boys taking karate lessons.

Total number of students taking the karate class is 16.

The ratio that compares the number of girls taking karate lessons to the total number of students taking karate lessons is given by 14 : 16 = 7 : 8.

This can be interpreted as for every 8 students in the karate lesson, 7 of them are girls.

Please find attached to this answer a well labelled diagram of the triangle

Answer:

Approximately 176.6 feet

Step-by-step explanation:

From the question, we are to find the height at which the baseball fan was sitting.

From the attached diagram the height at which the fan was sitting is equivalent to the opposite side of the triangle.

Hence , the appropriate trigonometric function to use to solve this question is the sine function.

Sine = Opposite / Hypotenuse

Opposite is unknown so we refer to it as Y

Hypotenuse = 200feet

While the Angle of depression = 62°

Therefore,

Sine 62° = Y/ 200 feet

Cross multiply

Sine 62° × 200 feet = Y

Y = 176.58951857 feet

Approximately 176.6 feet

Therefore , the height at which the fan is sitting is 176.6 feet

Answer:

The perimeter is 28 (6 plus 8=14 14x2= 28)

Step-by-step explanation:

Plz mark brainliest!

The perimeter of quadrilateral DOBC that forms two right triangles is: 28 units.

Based on the tangent theorem, triangles ODC and OBC are right triangles that are congruent. Therefore, their corresponding side lengths are equal.

Perimeter of quadrilateral DOBC = OB + DO + BC + CD = 6 + 6 + 8 + 8

Perimeter of quadrilateral DOBC = 28 units.

Learn more about congruent right triangles on:

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The probability that a student passed the test given that they did not complete the homework is [tex]\( \frac{3}{5} \)[/tex] or 60%.

To find the probability that a student passed the test given that they did not complete the homework, you can use conditional probability.

Let:

- [tex]\( A \)[/tex] be the event that a student passed the test.

- [tex]\( B \)[/tex] be the event that a student did not complete the homework.

You're asked to find [tex]\( P(A|B) \),[/tex] the probability of passing the test given not completing the homework.

From the given information:

- Total number of students [tex](\( N \)) = 27[/tex]

- Number of students who passed the test [tex](\( A \)) = 17[/tex]

- Number of students who did not complete the homework [tex](\( B \)) = \( N - 22 = 5 \)[/tex] (since 22 students completed the assignment)

Also, given that there were 3 students who failed the test and did not complete the assignment, we can infer that out of the 5 students who did not complete the homework, 3 of them failed the test.

So, [tex]\( P(A \cap B) = 3 \)[/tex] (the probability of a student both passing the test and not completing the homework).

Using the definition of conditional probability:

[tex]\[ P(A|B) = \frac{P(A \cap B)}{P(B)} \][/tex]

We have:

- [tex]\( P(A \cap B) = 3 \)[/tex]

- [tex]\( P(B) = 5 \)[/tex]

Now we can calculate [tex]\( P(A|B) \)[/tex]:

[tex]\[ P(A|B) = \frac{3}{5} \][/tex]

So, the probability that a student passed the test given that they did not complete the homework is [tex]\( \frac{3}{5} \)[/tex] or 60%.

The probability that a student passed the test given they didn't complete the homework is 40%.

To solve this problem, we need to determine the probability that a student passed the test given they did not complete the homework. We'll use the given data:

First, calculate the number of students who did not complete the homework:

5 because 27 total - 22 completed = 5 did not complete.

Next, find the number of students who passed the test and did not complete the homework.

Let’s define variables:

We're given that AB' = 3.

Calculate AB:

The total number of students who didn’t complete the homework is 5 (B + B'). Thus, AB (students who passed the test but did not complete the assignment) can be calculated as:

2 (because 5 - 3 = 2 for AB).

Then, the probability is:

P(A|B) = AB / B = 2 / 5. Therefore, the answer is 0.4 or 40%.

Answer:

2

Step-by-step explanation:

Because to divde to fractions you multiply the first fraction by the second’s reciprocal. The reciprocal is when you switch the numerator and the denominator.In this case 1/5 times 10/1 which is 2.

Answer:

think ab = 4

Step-by-step explanation:

Answer: i3

Step-by-step explanation:

Answer:13

Step-by-step explanation:

Answer:

18,152 Gallons

Step-by-step explanation:

First, you'll want to put this into an equation. We'll use x as the amount of water in gallons that will remain in the pool.

18,968 - 12 (68) = x

First, we'll multiply - 12 and 68.

We'd end up with this:

18,968 - 816 = x

From here, we can just subtract 816  from 18,968.

18,152 = x

Now we can see that there will be 18,152 gallons of water left in the pool after 68 days.

Answer:

9

Step-by-step explanation:

√16=4

5*1=5

4+5=9

hope this helps

Answer:

the distance

Step-by-step explanation:

More time care travels, more distance it goes. So distance depends of the time.

Answer:

504

Step-by-step explanation:

The sum of the odd numbers between 30 and 54 will be 504.

A numeral system is a way of writing numbers; it's a way of mathematically notating a collection of numbers by utilizing a consistent set of digits or other symbols. In several numeral systems, the same set of symbols may represent various numbers.

Given numbers are  30 and 54. The sum of the odd integers will be calculated by using the formula below:-

Sn = ( n / 2 ) [ a1 + a2 ]

The total numbers between 30 and 54 will be 12.

Sn = ( 12 / 2 ) [ 31 + 53 )

Sn = 6 x ( 84 )

Sn = 504

Therefore, the sum of the odd numbers between 30 and 54 will be 504.

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Answer:

5

xD

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

Multiply 4, 5 and 5 which gives 100.

Answer:

23 miles per gallon

Step-by-step explanation:

Take the miles and divide by the gallons

218.5 miles/ 9.5 gallon

23 miles per gallon

Answer:

23m/g

Step-by-step explanation:

If a car travels 218.5 miles on 9.5 gallons, you can find how many miles can be traveled on one gallon.

You can make the equation 9.5g=218.5, let g be gallons of gas.

Divide by 9.5 on both sides.

g= 23

The gas mileage is 23 miles for one gallon of gas.