Mathematics High School

Rachel is planning to run an average of 6.4 miles over three consecutive days. On the first
day, she ran 6.6 miles, and on the second day, she ran 6.5 miles. What is the maximum
number of miles Rachel can run on the third day without going over the planned average of
6.4 miles per day?

Rachel Is Planning To Run An Average Of 6.4 Miles Over Three Consecutive Days. On The Firstday, She Ran

Answers

Answer 1
6.6+6.4= 13.1

6.4 x 3 = 19.2

19.2- 13.1 = 6.1 miles
Answer 2

The maximum  number of miles Rachel can run on the third day without going over the planned average of  6.4 miles per day is 6.1 miles.

Maximum  number of miles:

Let x represent the maximum  number of miles

Formulate

6.6+6.5+x÷3=6.4

Hence:

6.6+6.5=6.4×3

13.1+x=19.2

x=19.2-13.1

x=6.1 miles

Inconclusion the maximum  number of miles Rachel can run on the third day without going over the planned average of  6.4 miles per day is 6.1 miles.

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Related Questions

Hello
If someone can help me find X that’s the only problem I’m having with this math equation please and thankss!

Answers

Answer:

X=5

Exlanation

The height of the roof will be 9 feet instead of 5 feet. Determine the length, in feet of the diagonal wood beams on the new roof. Find the leg. a^2 + 9^2=13^2

Answers

Answer:

√88

Step-by-step explanation:

a^2 + 9^2=13^2

a² = 13² - 9²

a² = 169 - 81

a² = 88

Take square root of both sides

a = √88

Simplify: −5(−4) + 13 =

Answers

Answer:

33

Step-by-step explanation:

-5(-4)= 20

20+13=33

A summer camp cookout is planned for the campers and their families. There is room for 200 people. Each adult costs 4, and each camper costs4,and each camper costs3. There is a maximum budget of $750. Write the system of inequalities to represent this real-world scenario, where x is the number of adults and y is the number of campers.
A. \begin{gathered}x + y \leqslant 200 \\ 4x + 3y \leqslant 750\end{gathered}x+y⩽2004x+3y⩽750​
B. \begin{gathered}x + y \leqslant 750 \\ 4x + 3y \leqslant 200\end{gathered}x+y⩽7504x+3y⩽200​
C. \begin{gathered}x + y \leqslant 200 \\ 3x + 4y \leqslant 750\end{gathered}x+y⩽2003x+4y⩽750​
D. \begin{gathered} x + y \leqslant 750 \\ 3x + 4y \leqslant 200\end{gathered}x+y⩽7503x+4y⩽200​

Answers

Answer:

Option A

The system of inequalities

x + y ≤ 200

4x + 3y ≤ 750

Step-by-step explanation:

Let the

Number of Adults = x

Number of campers = y

A summer camp cookout is planned for the campers and their families.

There is room for 200 people.

x + y ≤ 200

Each adult costs $4, and and each camper costs $3. There is a maximum budget of $750.

Maximum means the total cost is equal to or less than $750

$4 × x + $3 × y ≤ $750

4x + 3y ≤ 750

The system of inequalities

x + y ≤ 200

4x + 3y ≤ 750

Option A is correct

solve the system
y=x+5
y=-3x+1
The solution is (__,__)​

Answers

The solution is (-1,4). You can also double check this answer by plugging the values into a calculator:) hope this helps

how do you differentiate more and more than? can these terms be used in mathematics? how?​

Answers

Answer:

The terms "more" and "more than" have a clear difference, which is even more noticeable in its application in the field of mathematics.

Thus, "more" has a more general meaning, while "more than" applies specifically to comparing the values of two or more determined variables. Therefore, in the field of mathematics "more than" implies that a variable will have a higher value than another or others, while "more" simply refers to a higher value.

Little help with my math please

Answers

**Siri** I’m not sure I understand

The question is on the fill

Answers

Answer:

Your mom is annoying

Step-by-step explanation:

She keeps calling me even though its over.

98.92 as a decimal to 2 places

Answers

Answer:

98.9 i think

Step-by-step explanation:

to round to 2 decimal places, look for the number 2 places from the decimal point. that number is 2. is there any number next to it on the right? no. so just round.92 which is 98.9

2 decimal places question.

98.92 would remain exactly the SAME if all u want is 2 decimal places answer

= 98.92

PLEASE HELP IN ATTACHED IMAGE

Answers

Answer:

C.

Step-by-step explanation:

15 divided by 1/9 please i just need 15 divided by 1/9

Answers

Answer:

135 :)

Step-by-step explanation:

15 divided by 1/9 is equal to 135.

We have,

When dividing fractions, we can invert the second fraction (1/9) and multiply it by the first fraction (15).

This concept is known as "invert and multiply."

By multiplying 15 by the reciprocal of 1/9, which is 9/1, we effectively perform the division operation and obtain the result.

Now,

To divide 15 by 1/9, we can rewrite the division as a multiplication by the reciprocal of the second fraction.

15 ÷ (1/9) is the same as 15 * (9/1).

Multiplying these fractions, we get:

15 * (9/1) = 135/1 = 135.

Therefore,

15 divided by 1/9 is equal to 135.

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The circumference of a circle is about 40.82 inches. What is the diameter and the radius of the circle? Round to the nearest tenth and show all work.

Answers

Answer:

Step-by-step explanation:

The diameter is 13 and the radius is 6.5

6th grade math help me plzzzz

Answers

Answer:

E. would be your answer

Step-by-step explanation:

ok so find an angle on figure A. and count how many units it takes to get to the same angle on figure B.

What is 2/3 X 3/8 =?

Answers

Step-by-step explanation:

(2/3) * (3/8)

= (2 * 3) / (3 * 8)

= 6 / 24

= 1/4.

Answer:

see explanation

Step-by-step explanation:

2/3×3/8

=2/8(3 & 3 is canceled)

=1/4 (2×4=8)

shortcut rule.

hope This will help you..

4 months to 8 years in ratio

Answers

Answer:

4:96

Step-by-step explanation:

It has to be the same kind of thing so...

1 year is 12 months

8 * 12 = 96

Answer:

4 months : 8 years

reduced...

1 month : 2 years

Step-by-step explanation:

Multiple Choice


Which of the following represents a unit rate?
A. four dollars over twelve books


B. five pages over two minutes


C. eighty beats over one minute


D. seventy two inches over two yards

Answers

Answer:

c

Step-by-step explanation:

unit rate is a rate with one in the denominator

pls help you i’ll give brainliest

Answers

The answer is 6+(-4) = 2

Answer:

2

Step-by-step explanation:

it's just like saying 6-4 is two a negative is like a positive

Please help for:
5 − 8 −2n = −75

Answers

Answer:n

= − 5 , 5

Step-by-step explanation:

3x+18=3(x+6)please help

Answers

The correct answer is 0

Answer: X = 4

Step-by-step explanation: Move all the terms besides X to the right side, from there you will divide each term by 3 then simplify.

PLEASE HELP ME THIS IS MY FINAL !!!!
Two taxi services charge different rates. Taxi A charges $0.40 per mile
traveled plus an initial charge of $2.00. Taxi B charges $0.50 per mile
traveled. The situation is modeled by this system, where xis the number of
miles traveled and y is the charge for that distance, in cents:
y= 40x+ 200
y= 50x
How many miles must each taxi travel for the charges to be equal, and what
is the charge for that distance?

Answers

Answer:

it would take 20 miles and cost 10 dollars.

Step-by-step explanation: Like up the equations so that 50x=40x+200. When you solve for x (number of miles) you find that x=20. Use 20 in either equation (0.5x or 0.4x+2) to get 10 (total cost).

Parallelogram PQRS has diagonals PR and SQ that intersect at T. Given SP=2a+5, RQ=5a−1, ST=3b−3, and SQ=7b−9, what are the values of RQ and TQ?

Answers

Answer:

RQ=2 TQ=6

Step-by-step explanation:

Answer:

RQ = 9 , TQ = 6

Step-by-step explanation:

Through which point must the graph of y = 4 logs (x) + 2 pass?
A. (5,6)
B. (5,8)
C. (5, 12)
D. (5, 40)

Answers

The graph of y = 4 logs (x) + 2 passes through the point (5,8).

The given equation of the graph is y = 4 logs (x) + 2

We have to find the point which passes through the graph

The equation y = 4 logs (x) + 2 can be rewritten as y = log(x⁴) + 2. Substituting x = 5 into the equation gives us y = log (5⁴) + 2

= log (625) + 2

= 8.

Therefore, the graph of y = 4 logs (x) + 2 passes through the point (5,8).

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A) SAS
B) AAS
C) Not enough information
D) SSS

Answers

It would be not enough information since there isn’t three different marks, for example the angles have the circles and for the sides they are marked with lines

Which one of these is not a step used when constructing an inscribed equilateral triangle using technology? (5 points)

Create a circle using the center with given point tool.
Use the compass tool to create three more circles, with the same radii as the first.
Connect the point with a line through the center of the circle.
Create another circle with the same radius as the original.

Answers

The step that is not used when constructing an inscribed equilateral triangle using technology is " create another circle with the same radius as the original".

What is inscribed triangle ?

"The definition of circumscribed means that an object is drawn around another, making it bounded or limited within a certain boundary. And so, a circumscribed circle of a triangle is a circle that limits a triangle's space. In other words, the circle contains a triangle inside it. The vertices of the triangle are located along the boundary of the circle.

Geometric scenarios like this wherein a shape are drawn inside another or containing another; the name is given depending on which object is taken as a reference. Circumscribed circle of a triangle, the circle is outside the triangle in a simpler sense. In other words, the triangle is inside the circle."

Since,

Creating another circle with the same radius as the original is the not a step in construction of inscribed equilateral triangle.

Hence D is the correct option.

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What is the value of x? B 75° Enter your answer in the box. X=​

Answers

Answer:

55

Step-by-step explanation:

75+50=125

180-125=55

(4, 2); slope = 3
write the equation of the line

Answers

Answer:

y=3x-10

Step-by-step explanation:

I need help I will give BRAINLEST

Answers

Answer:

25%

Step-by-step explanation:

To solve this, we can use the percent change formula shown in the picture attached below. [tex]x_{2}[/tex] is the new value, [tex]x_{1}[/tex] is the old value, and [tex]C[/tex] represents the change. For this problem, 80 is the new value and 64 is the old value. Let's plug those numbers into the formula and solve for the percent change:

[tex]C = \frac{(80-64)}{64} \\[/tex] × [tex]100[/tex]

[tex]C = \frac{16}{64}[/tex] ×[tex]100[/tex]

[tex]C = 0.25[/tex] ×[tex]100[/tex]

[tex]C = 25%[/tex]

Thus, the answer is 25%.

Is the equation y = x3 - 2 a linear equation?

Answers

Answer:

Not linear

Find the degree of the equation to determine if linear.

5x-3 =2x+15
Someone pls help for geometry

Answers

Answer:

x = 6

Step-by-step explanation:

5x-3 = 2x+15

i) move 2x to the left-hand side and change its sign

5x-2x-3 = 15

ii) move -3 to the right-hand side and change its sign

5x-2x = 15+3

iii) collect like terms

3x = 15+3

iv) add the numbers

3x = 18

v) divide both sides of the equation by 3

[tex] \frac{3x}{3} = \frac{18}{ 3} [/tex]

[tex]x = 6[/tex]

Use the figure to find the measures of the numbered angles. ∠5 = ∠6 =

Answers

Answer:

∠ 5 = 49°, ∠ 6 = 131°

Step-by-step explanation:

∠ 5 and 49° are corresponding angles and are congruent, then

∠ 5 = 49°

∠ 5 and ∠ 6 are adjacent angles and are supplementary, sum to 180° , that is

∠ 6 + ∠ 5 = 180°

∠ 6 + 49° = 180° ( subtract 49° from both sides )

∠ 6 = 131°

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