Joe ran 3 miles yesterday and wants to run at least 15 miles this week. Write an inequality that can be used to determine the additional number of days Joe must run this week if each run is 3 miles. Then solve the inequality.

Answers

Answer 1

9514 1404 393

Answer:

  3 +3d ≥ 15

  d ≥ 4

Step-by-step explanation:

Since Joe runs 3 miles for each day he runs, the number of miles he runs in d days is 3d. That, added to the distance he has already run, will total the amount for the week. He wants that to be at least (greater than or equal to) 15 miles:

  3 + 3d ≥ 15

__

We can divide by 3 to get ...

  1 + d ≥ 5

  d ≥ 4 . . . . . . . subtract 1

Joe must run at least 4 additional days this week to run at least 15 miles.


Related Questions

Which statement about the linear factors and zeros of a quadratic function is always
true?

A. The constants of the linear factors are the opposite of the function's zeros.

B. A function's zeros can be determined by setting each linear factor equal to 0 and
solving.

C. If a function's zero is an integer, then the coefficient of the variable in the linear factor
must be one.

D. Multiplying the constants of the linear factors gives one of the function's zeros, and
adding the constants gives the other zero.

Answers

C HOPE IT HELPS!!!!!!!

1. Consider the surface area of the pyramid shown.

(a) Draw a net for the pyramid. Label all sides with measurements.
(b) Write an expression for the surface area of the pyramid and then find the surface area.

Answers

a) ...
I don’t how to do but b) I know

b) ________________
/ (10 ✖️10)-(1.5 ✖️1.5)
\/. =9.887

(3✖️3)+4(1/2✖️3 ✖️9.887)
=9+59.322
=68.322
Answer is 68.322
I think
Also sorry I didn’t do a) because I really don’t how to do so...

Answer:

i am also trying to figure out a

Step-by-step explanation:

(D) Work out
1/4 of 28

Answers

Answer:

1/4 ×28=7 ::*^ jghjnryh

Answer:

7

Step-by-step explanation:

[tex]\left(\frac{1}{4}\right)\cdot28[/tex]

[tex]\frac{\left(1\right)\cdot\left(28\right)}{\left(4\right)\cdot\left(1\right)}[/tex]

[tex]\frac{\left(28\right)}{\left(4\right)}[/tex]

You should divide both the numerator and the denominator by 4 and get 7 as a result of that.

Let f(x) = 6x² - 54x+100 and g(x)=-3x² + 19. Identify the solution(s) of f(x) = g(x).

Answers

Answer:

x = 3

Step-by-step explanation:

f(x) = g(x)

[tex]6x^{2} - 54x + 100 = -3x^{2} + 19\\9x^{2} - 54x + 81 = 9(x^{2} - 6x + 9) = 0[/tex]

9(x - 3)(x - 3) = 0

x = 3

If the die is rolled 100 times, predict the number times it would land on an
even number. *

Answers

Answer:

50

Step-by-step explanation:

there are 6 numbers on a dice 3 even 3 odd you would have a 50 chance of getting even

The volume of the rectangular prism is 312 cm2 h 4 cm 6 cm What is the height of the prism? Height = cm​

Answers

Answer:

h=13

Step-by-step explanation:

volume=w*h*l

312=(4)(6)(X)

The box plot below shows the heights, in inches, of the 24 students in Brandon’s
homeroom.

47 5149 55 57 61 53 59 63 65 67 69

Select all the statements that describe the class according to the box plot.
A 50% of the students are less than 62 inches tall.
B The tallest student is 69 inches tall.
C 50% of the students are at least 56 inches tall.
D 25% of the students are less than or equal to 53 inches tall.
E There is a range of 9 inches in the heights of the students.
F 25% of the students are greater than 62 inches tall.

Answers

The answer is B 50% correct me if I’m wrong

PLEASE HELP!!!!!!!! HELP NEEDED ASAP PLS PLS

Answers

Answer:

A

Step-by-step explanation:

It's correct but you don't show other answers

It takes Scott 3 times longer to paint a house than it takes James. If they work together, they can paint the house in 13 hours. Write equation that could be used to solve for the amount of hours it takes each of them to paint the house alone.​

Answers

Answer:

I believe it is 13 - 3x

Step-by-step explanation:

Since we dont know how long it takes Scott to paint the house, we use x in its place. We are subtracting to find out how many hours it takes James. Once you get that answer divide by 3.

The equation that should be used to solve for the amount of hours should be considered to be 13-3x.

Calculation of the equation;

Since

It takes Scott 3 times longer to paint a house than it takes James. And,  they work together, they can paint the house in 13 hours.

So here we assume x to paint the house

So here the equation be like 13-3x.

Learn more about an equation here: https://brainly.com/question/2252530

She mixes nuts, raisins and oats in the ratio 3:2:5 by weight. Babajan uses 60 grams of nuts. Work out the weight of raisins she uses to make the breakfast cereal

Answers

Answer:

weight of raisins : 40

Step-by-step explanation:

nuts : raisins : oats

3:2:5= 60: ? : ?

60÷3 = 20

raisins : 2×20 = 40

3 5/8 - 2 1/8=?
[tex]3 \frac{5}{8} - 2 \frac{1}{8} [/tex]
ASAP!!!!​

Answers

Answer:

answer:

[tex]3 \frac{5}{8} - 2 \frac{1}{8} [/tex]

[tex] \frac{29}{8} - \frac{17}{8} [/tex]

[tex] \frac{29-17}{8} [/tex]

[tex] \frac{12}{8} [/tex]

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

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

is your answer.

Arsenic concentration in public drinking water supplies is potential health risk. An investigator collected data of arsenic concentration in parts per billion (ppb) from 10 metropolitan phoenix communities and 10 rural Arizona. Under  = 5%, can the investigator conclude that the metropolitan phoenix water is different from the rural Arizona when it comes to the Arsenic concentration

Answers

Answer:

Hello your question has some missing data  below is the missing data

answer : The Investigator can conclude that the metropolitan phoenix water is different from the rural Arizona ( to = -2.77 which is < 0.05 )

Step-by-step explanation:

The hypothesis ;

H0 : μ1 = μ2

Ha : μ1 ≠ μ2

significance level ( ∝ ) = 0.05

calculate for degree of freedom ( df ) = 13.2  ( using excel function )

find the test statistic ( to ) = -2.77

attached below is the remaining part of the solution

Need help fast please, plz

Answers

Answer:

13. rational, integer, white number, natural

14. irrational

Step-by-step explanation:

the third root of 125 is 5.

so, it is everything of the list except for irrational.

pi is a prime example of an irrational number. any calculation not eliminating the irrational number is also irrational.

Select the correct answer.
What is the range of the data represented by the box plot?
Range = 2 range = 4 range = 10 range = 12

Answers

Answer:

c.

Step-by-step explanation:

can i have brainliest

Find the greatest common factor of 6c^3 and 10c^4

Answers

Answer:

2c^3

Step-by-step explanation:

The greatest common divisor of 6 and 10 are 2

The factors that are common to 6c^3, 10c^4 would be 2ccc

Simplify that and you have 2c^3

20 POINTS!! PLEASE HELP! WILL GIVE BRAINLIEST!!

Answers

Answer:

d i think

Step-by-step explanation:

A machine produces metal pieces that are cylindrical in shape. A sample of pieces is taken, and the diameters are found to be 1.01, .97, 1.03, 1.04, .99, .98, .99, 1.01, and 1.03 centimeters. Find a 99% confidence interval for the mean diameter of pieces from this machine, assuming an approximate normal distribution. Interpret the interval carefully in the context of the problem

Answers

The Answer is on the bottom of the photo.

Find the measure of 46.
46 = [?]
24°
46

Answers

Answer:

Solution given:

<6+24=180[co- interior angle]

<6=180-24=156°

<6=156°

Same side interior angles are supplementary

<6+24=180<6=180-24<6=156°

AB = 5, AP = 4, and DP = 12, then find the length of PC

Answers

Answer:

[tex]PC = 0.333[/tex]

Step-by-step explanation:

Given

[tex]AB = 5[/tex]

[tex]AP = 4[/tex]

[tex]DP =12\\[/tex]

See attachment

Required

Find PC

When two chords intersect, the product of the segments are always equal.

In chord DC, the segments are DP and PC

In chord AB, the segments are AP and PB

So:

[tex]DP * PC = AP * PB[/tex]

This gives:

[tex]12 * PC = 4 * PB[/tex] --- (1)

In chord AB, we have:

[tex]AB = AP + PB[/tex]

Make PB the subject

[tex]PB = AB - AP[/tex]

This becomes

[tex]PB = 5 - 4[/tex]

[tex]PB = 1[/tex]

[tex]12 * PC = 4 * PB[/tex] --- (1) becomes

[tex]12 * PC = 4 * 1[/tex]

[tex]12 * PC = 4[/tex]

Make PC the subject

[tex]PC = \frac{4}{12}[/tex]

[tex]PC = 0.333[/tex]

An article reported the results of an experiment to determine the effect of load on the drift in signals derived from a piezoelectric force plates. The correlation coefficient y between output and time under a load of 588 N was −0.9515. Measurements were taken 110 times per second for 300 seconds, for a total of 33000 measurements. Find a 95% confidence interval for the population correlation rho. Round the answers to four decimal places.

Answers

Answer:

95% confidence interval for the population is; -0.9525 < [tex]p[/tex] < -0.9505

Step-by-step explanation:

Given the data in the question;

correlation coefficient y between output and time under a load of 588 N was −0.9515

so first we determine the quantity W.

we know that; W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{1 + r}{1 - r}[/tex])

we substitute -0.9515 for r

W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{1 + (-0.9515 )}{1 - (-0.9515 )}[/tex])

W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{1 - 0.9515 )}{1 + 0.9515 )}[/tex])

W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{ 0.0485}{1.9515 }[/tex])

W = [tex]\frac{1}{2}[/tex]ln( 0.02485 )

W = [tex]\frac{1}{2}[/tex]( -3.6948975 )

W = - 1.8474

So the quantity W is normally distributed with  standard deviation given by;

σ[tex]_w[/tex] = 1 / √(n - 3)

given that n is 33,000, we substitute

σ[tex]_w[/tex] = 1 / √(33,000 - 3)

σ[tex]_w[/tex] = 1 / √32997  

σ[tex]_w[/tex] = 0.0055

Now, at 95% confidence interval, μ[tex]_w[/tex] will be;

⇒ - 1.8474 - 1.96( 0.0055 ) < μ[tex]_w[/tex] < - 1.8474 + 1.96( 0.0055 )

⇒ - 1.8474 - 0.01078 < μ[tex]_w[/tex] < - 1.8474 + 0.01078

⇒ -1.8582 < μ[tex]_w[/tex] < -1.8366

So to obtain 95% confidence interval for p, we use the following equation;

we transform the inequality

p = [( [tex]e^{2u_w} - 1[/tex] ) / ( [tex]e^{2u_w} + 1[/tex] )]

we substitute

[tex]\frac{e^{2(-1.8582 )}-1}{e^{2(-1.8582 )} + 1}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{e^{2(-1.8366)}-1}{e^{2(-1.8366)} + 1}[/tex]

[tex]\frac{e^{-3.7164}-1}{e^{-3.7164} + 1}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{e^{-3.6732}-1}{e^{-3.6732} + 1}[/tex]

[tex]\frac{0.02432-1}{0.02432 + 1}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{0.025395-1}{0.025395 + 1}[/tex]

[tex]\frac{-0.97568}{1.02432}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{-0.974605}{1.025395}[/tex]

-0.9525 < [tex]p[/tex] < -0.9505

Therefore,  95% confidence interval for the population is; -0.9525 < [tex]p[/tex] < -0.9505

What is the magnitude of -10 + 24i?

this is for a unit over complex numbers on a p e x​

Answers

Answer:

The magnitude of the number is of 26.

Step-by-step explanation:

Magnitude of a complex number:

A complex number has the following format: a + bi

In which a is the real coefficient and b is the imaginary coefficient.

The magnitude of the number is:

[tex]\sqrt{a^2+b^2}[/tex]

What is the magnitude of -10 + 24i?

For this number, a = -10, b = 24. So

[tex]\sqrt{a^2+b^2} = \sqrt{(-10)^2+24^2} = \sqrt{676} = 26[/tex]

The magnitude of the number is of 26.

A car is driving at 40 kilometers per hour. How far, in meters, does it travel in 2 seconds?

Answers

Answer:

i think its 22.22 thats my guess

Answer:

[tex]\frac{1}{45}[/tex] kilometers

Step-by-step explanation:

60 minutes = 3600 seconds

[tex]\frac{40}{3600} =\frac{y}{2}[/tex]

3600y = 80

3600y ÷ 3600 = 80 ÷ 3600

[tex]y=\frac{1}{45}[/tex]

2.6x + 10.5 = 31.3
I need to find the answer of x whoever gets it correct will get brianliest!

Answers

Answer:

2.6x + 10.5 = 31.3

Step-by-step explanation:

the correct answer is x=8

Pls help if u cannnnnnnnnn

Answers

Answer:

V≈2144.66m³

Step-by-step explanation:

V=4 /3πr^3

d=2r

Solving for V

V=1/ 6πd^3=1/ 6·π·16^3≈2144.66058m³

Hope this helped!!!

Answer:

2143.57 m³

Step-by-step explanation:

Formula of volume of sphere

[tex] = \frac{4}{3} \times π \times {r}^{3} [/tex]

The volume of the sphere

[tex] = \frac{4}{3} \times 3.14 \times {(16 \div 2)}^{3} [/tex]

[tex] = \frac{4}{3} \times 3.14 \times {8}^{3} [/tex]

[tex] = \frac{6430.72}{3} [/tex]

[tex] = 2143.573333...[/tex]

= 2143.57 m³ (rounded to the nearest hundredth)

. Suppose that the average score in a statistics test is 84 with a standard deviation

of 4. According to Tchebysheff’s theorem, what percentage of the students have

a grade of at least 72 and at most 96?​

Answers

Answer:

96

Step-by-step explanation:

How old is a tree with circumference of 62.83 cm?

Answers

Step-by-step explanation:

19.9 is the age of the tree.

divide the circumference with 3.142 .

hope this helps you☺️☺️

Part C
How many cubic blocks are needed to fill the fish tank?

Answers

Answer:

[tex]2\frac{2}{3}[/tex] cubic blocks

Step-by-step explanation:

The given parameters are:

[tex]Length = \frac{1}{2}yd[/tex]

[tex]Width = 16yd[/tex]

[tex]Height =\frac{1}{3}yd[/tex]

Required

Number of cubic blocks to fill the tank

To do this, we simply calculate the volume of the tank by:

[tex]Volume = Length * Width * Height[/tex]

This gives:

[tex]Volume = \frac{1}{2} * 16 * \frac{1}{3}[/tex]

[tex]Volume = \frac{16}{6}[/tex]

Simplify

[tex]Volume = \frac{8}{3}[/tex]

Express as mixed numbers

[tex]Volume = 2\frac{2}{3}yd^3[/tex]

Need help quick with full work

Answers

Answer:

1st of column 1

and

3rd of column 2

1st of column 1

And


3rd of column 2

What’s the slope?? Please help!

Answers

Answer:

I believe the slope of the line is 5

Step-by-step explanation:

5 + 5 = 10

10 + 5 + 15

15 + 5 = 20

Hope this helps :)

(change in y divided by change in x)

Help me out!!!! ASAP!!!!

Answers

Answer:

226 feet

Step-by-step explanation:

264^2 + 900^2= c^2

879696= c^2

938= c

900+ 264= 1164

1164- 938= 226

I think this is right

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