Mathematics High School

1. Caroline ran 15 miles in 5 days. She ran the same distance each day. Write and solve an equation to determine the number of miles she ran each day. (Explore Activity) a. Let x represent the Number of Number of Draw algebra tiles to model the equation. Caroline ran miles each day. ​

Answers

Answer 1

Answer:

3 miles per day

Step-by-step explanation:

15=5X

15÷5=3

Related Questions

Find the solution to the system. Write your solution as an ordered pair (x,y) with no spaces, no solution, or infinitely many. 3x-2y=9 and x-y=5

Answers

Answer:

(-1,-6)

Step-by-step explanation:

Use substitution

y=x-5

3x-2(x-5)=9

3x-2x+10=9

x=-1

Plug it in

(-1)-y=5

-y=6

y=-6

Solve. 8 - 2d = c 4c + 3d = 2 c=4 d = -6 C=-4 d = 6 C=4 d = 6 C=-4 d = -6​

Answers

Answer:

c = -4    d = 6

Step-by-step explanation:

8 - 2d = c     4c + 3d = 2

                    4(8 - 2d) + 3d = 2

                     32 - 8d + 3d = 2

                     32 - 5d = 2

                          -5d = -30

                              d = 6

8 - 2(6) = c

8 - 12 = -4 = c

Gin bakes a perfectly circular pizza with a diameter of 10 inches, and he selst for $0.20 per square inch What is the cost for
the entire pizza? Express your answer to the nearest whole ola

Plz help

Answers

Answer:

$15.70

Step-by-step explanation:

The formula for a circle's area is πr^2 and so the radius is 10/2 or 5. 3.14*5^2 is 78.54. Multiply this by $0.20 to get the total cost of the pizza. The total cost is $15.70.

Trevor has an investment worth $6,774.50. He made his only deposit in it 22 years ago. Given that the investment yields 2.7% simple interest annually, how big was the initial deposit?

a. $2,524.50
b. $4,024.03
c. $4,250.00
d. $11,404.88

Answers

Answer:

First, converting R percent to r a decimal

r = R/100 = 2.7%/100 = 0.027 per year.

Solving our equation:

P = 6774.5 / ( 1 + (0.027 × 22)) = 4250P = $4,250.00

The principal investment required to get a total amount, principal plus interest, of $6,774.50 from simple interest at a rate of 2.7% per year for 22 years is $4,250.00I do exams and quizzes if your interested!

The initial deposit amount is $4,250.00.

Given that,

The worth of an investment is $6774.50The time period is 22 years. The rate of interest is 2.7%.

Based on the above information, the calculation is as follows:

We know that

[tex]SI =P\times R\times T\\\\SI = P\times 2.7\% \times 22\\\\SI = 0.594P[/tex]

Now

Investment worth = P  + SI

= P + 0.594P

= 1.594P  

So,  

1.594P  = 6774.50

P  = $4,250  

Therefore we can conclude that the initial deposit amount is $4,250.00.

Learn more: brainly.com/question/13324776

find the length of side x in simplest radical form with a rational denominator 60 30 x 2

Answers

Answer:

x = √3

Step-by-step explanation:

Looking at the given triangle,

x is the adjacent side while 2 represents the hypotenuse side.

Now, from trigonometric ratios, we know that;

Adjacent/hypotenuse = cos θ

The angle here will be 30°

Thus;

x/2 = cos 30°

We are told to find x in simplest radical form with a rational denominator.

Thus means we will use the surf value of the angle.

cos 30° in surd form = (√3)/2

Thus;

x/2 = (√3)/2

x = 2 × (√3)/2

x = (√3)/1

x = √3

(-4,-7); slope = 1
Write in slope intercept form

Answers

Answer:

y=x-3

Step-by-step explanation:

Find the surface area of the prism below. Round your answer to the hundredth, place if needed.

Answers

Answer:

ABC DEFGHIJKLMNOPQRSTUVWXYZ

Answer:

131.28 cm2

Step-by-step explanation:

Hope this helps

12 + 5/3 b + 1 1 − 18 = 20

Answers

Answer: b = 9

Step-by-step explanation:

Given

12 + 5/3b + 11 - 18 = 20

Combine like terms

(12 + 11 - 18) + 5/3b = 20

5 + 5/3b = 20

Subtract 5 on both sides

5 + 5/3b - 5 = 20 - 5

5/3b = 15

Divide 5/3 on both sides

5/3b / (5/3) = 15 / (5/3)

b = 9

Hope this helps!! :)

Please let me know if you have any questions

Put a digit in the gap, such that the answer is a whole number

10x+11=144...

Answers

Answer:

the answer is 1

Step-by-step explanation:

If you do 1441-11 you get 1430.

no other number gives you 0.

Brent's neighborhood is putting down new mulch at the playground and he is in Charge of buying the mulch. One bag covers 3 yd.². How many bags will he need?

Answers

Answer:

I don't know but 4 could be it

Step-by-step explanation:

NEED HELP ASAP

The Ramirez Family is planning to put an above ground swimming pool in their back yard. Their yard is a 38 ft by 58 ft rectangle and the pool will be a circle with a diameter of 16 ft, as shown below. They will fill the rest of their yard with grass.

Answers

Answer: It would be approximately 2000 ft.

Step-by-step explanation:

7 + 2X = 5
3
..... zzzzzzzz

Answers

Answer:

23

Step-by-step explanation:

please mark brainliest

Answer:

x = 23

Step-by-step explanation:

7 + 2x = 53

7 + 2x - 7 = 53 - 7

2x = 46

2x / 2 = 46 / 2

x = 23

Hope this helps

Maybe brainliest?

410 is what percent of 65?

Answers

Answer:

15.85%

Step-by-step explanation:

you know you have 65 and you have 410 so you just multiply and try and figure out the ratio and how much percentage is out of it.

11/5=_÷_

PLEASE MY SISTER NEEDS HELP TODAY!!!!!!!!

And also will get brainliest if you tell me how.

Answers

Answer:

11/5 = 11 ÷ 5

Step-by-step explanation:

11/5 is a fraction, and every fraction is just a division problem.

Answer:

11/5=11÷5.

You just take the numbers from the fraction and put them into a division equation.

James, Ryan and Jill share £120 in the ratio 3:2:1.
Find out how much each person recieves.

Answers

Answer:

James = £60, Ryan = £40 and Jill = £20

Step-by-step explanation:

James - 3, Ryan - 2 and Jill - 1

3 + 2 + 1 = 6

£120 / 6 = 20

Times 20 by each of the three numbers (3, 2 and 1)

3 x 20 = £60 (James)

2 x 20 = £40 (Ryan)

1 x 20 = £20 (Jill)

Answer:

James gets £60

Ryan gets £40

Jill gets £20

Step-by-step explanation:

Add up the ratio which would be 6 then divide it by the original sum which is £120 so the answer would be 20. You would then multiply 20 by each number so 20x3= 60. 20x2= 40. 20x1=20

All these should add up to your original sum and if they do you know you've done it right!

The equation y = 1125(1.034)" can be used to approximate the number of cell phone users
who live in a certain city over time, where a represents the number of years after 2000.
Which of the following statements is true?
A
the rate of growth is 34%
B
there were 1125 cell phone users in 2000.
С
the rate of decay is 3.4%
D
In the year 2005, there were more than 1350 cell phone users.

Answers

Answer: B

there were 1125 cell phone users in 2000.

Step-by-step explanation:

The initial number of cell phone users is the front coefficient that is then multiplied by the growth factor.

So the initial number of cell phone users in 2000 was 1125.

He answer should be b because it mentions number of years after 2000 in the question that’s the answer that seems logical to me

If f(x)=5x – 2 then what is the value of (8)?

Answers

f(x)=5x-2 or f(8)=5(8)-2


5x8=40-2=38

3x 1 1/2 enter as mixed number

Answers

Answer:

16 1/2

Step-by-step explanation:

3*11/2

=33/2

=16 1/2

A random sample of 10 subjects have weights with a standard deviation of 11.0995 kg. What is the variance of their​ weights?

Answers

Answer:

[tex]123.19890025 kg^2[/tex]

Step-by-step explanation:

We are given that

Standard deviation, s=11.0995 kg

Sample size, n=10

We have to find the variance of their weights.

We know that

Variance=[tex](standard\;deviation)^2[/tex]

Using the formula

The variance of their​ weights

=[tex](11.0995)^2[/tex]

=[tex]123.19890025 kg^2[/tex]

Hence, the variance of their​ weights=[tex]123.19890025 kg^2[/tex]

Find the total surface area of the rectangular prism

Answers

The surface area of the rectangular prism is 782 square inches.
782 square prism how this helps

Choose all the fractions that are in simplest form. 4/26 8/21 6/19 9/10 10/22​

Answers

Answer:

8/12, 6/19 and 9/10!

Step-by-step explanation:

All of them cannot be simplified.

but the rest can like  

4/26 can be simplified by 2

and 10.22 can be simplified by 2

8/21 , 6/19 , 9/10 , and 10/22, so all of them except for the first one

Find the volume of the sphere. Use 3.14 for π. Round to the nearest hundredth.

Answers

Answer:

555.37

Step-by-step explanation:

V = 4/3 πr^3

Given that
a
= 6 cm and
b
= 11 cm, work out
θ
rounded to 1 DP.

Answers

Not enough information in order to solve. Need to know where a and b are

Answer:

56.9°

Step-by-step explanation:

Assuming you mean a and b as the legs of a right triangle and θ as the bigger angle in a right triangle, we can work out easily that

cos θ = 6/11

so θ ≈ 56.9°(to 1 d.p.)

Which value would make the inequality false? Inequality: a ≥ 18

33
17
21
19


Please help me

Answers

Answer: 17

Because it is less than 18

Making the equation false

Is the following function discrete, continuous, or neither?

​

Answers

continuous function

is correct :D

it’s a function. because you don’t touch two points when you go through it

BRAINLIST!!!

Rochelle heard on the radio that today's temperature is higher than it was yesterday. Yesterday's high temperature was reported as 73 °F.

Create an inequality on the number line of today's temperature.

Answers

Answer:

the inequality will be X > 73

Step-by-step explanation:

What number can 2 and -6 both be divided by?

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

because both are even numbers

hope this helps (:

Of the 16 students in the school orchestra, 12.5 % play the violin. How many students in the orchestra play the violin?

Answers

Answer:

2

Step-by-step explanation:

16 -> .16

.16×12.5=2

You just move the decimal point 2 times and multiply by the percentage

Answer:

2 students

Step-by-step explanation:

12.5% = 0.125

Multiply this by 16:

16 * 0.125 = 2

X - 10= 7 x=_____ help

Answers

Im pretty sure it’s x = 17

Answer:

17

Step-by-step explanation:

Add the integers.
-6 + (-4) =( ?
B-2
C 2
D 10

Answers

Answer:

-10

Step-by-step explanation:

The answer is D. Negative equals negative.
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