Tammy must run more than 67 miles total to reach her fitness goals. She has already run 35 miles and runs 4 miles per day, Which
of the following inequalities could be used to solve for x, the number of days Tammy still needs to run to reach her fitness goals?

Answers

Answer 1

Answer:

[tex]35 + 4x > 67[/tex]

To reach her fitness goal, she needs to run for more than 8 days.

Step-by-step explanation:

She has already run 35 miles and runs 4 miles per day:

This means that after x days, the distance she will have run is:

[tex]D(x) = 35 + 4x[/tex]

Tammy must run more than 67 miles total to reach her fitness goals.

This means that:

[tex]D(x) > 67[/tex]

[tex]35 + 4x > 67[/tex]

The inequality is:

[tex]35 + 4x > 67[/tex]

Solution:

[tex]4x > 32[/tex]

[tex]x > \frac{32}{4}[/tex]

[tex]x > 8[/tex]

To reach her fitness goal, she needs to run for more than 8 days.


Related Questions

Which equation represents the standard form of f(x)?
A
f(x) = 2x2 - 7x - 13
B
f(x) = 2x2 - 7x - 22
с
f(x) = 2x2 - 15x + 22
D
f(x) = 2x2 - 7x + 13
QUESTION 2

Answers

Step-by-step explanation:

step 1. the standard form of a quadratic equation is f(x) = ax^2 + bx + c

step 2. since they are all in standard form you need to provide more information.

The Mohs scale is used to measure:

streak
cleavage
hardness
luster

Answers

Answer:

Hardness.

Step-by-step explanation:

A mineral's hardness is a measure of its relative resistance to scratching, measured by scratching the mineral against another substance of known hardness on the Mohs Hardness Scale.

Answer:

hardness

Step-by-step explanation:

number 3

what is the equivalent ratio of 8/10 and 6/10?​

Answers

Answer:

ok so 8/10 I think it is 4/5

and 6/10 I think is 3/5

Penny makes 5 liters of applesauce. She saves 0.24 liter for dinner and puts the rest in jars. If each jar holds 0.68 liter, how many jars can she fill?

Answers

Answer:

Penny can fill eight jars.

Answer:

Penny can fill 8 jars.

Step-by-step explanation:

Step one: Multiply the divisor by a power of 10 to make it a whole number. Then, multiply the dividend by the same power of 10. Step two: Write the decimal point in the quotient above the decimal point in the new dividend. Step three: Divide!

answers needed nowwwwwwwww

Answers

the answer is X=118 because if you add 118 to 3 you get 121 and that is the equal to the other side

1
Questão 10 - Um capital aplicado a
umos simples durante 2 anos, sob
taxe de juros de 5% ao mês, gerou
um montante de R$ 26.950,00.
valor do capital
aplicado​

Answers

Answer:

2,995 or 35,940(?)

Step-by-step explanation:

I don't exactly remember how to do this so, I'll show you two different ways I solved this

Use the formula I=P*r*t

I=Interest

P=Principal

r=rate

t=time

To solve this you'll have to...

The principal is 29,950, the rate is 5% but it'll become a decimal which is 0.05, and the time is 2

Put it into the formula form 29,950*0.05*2= 2,995 in interest

Or...

You'll use the same formula, but this time multiply 0.05 by 12 since there are 12 months in one year which is 0.6, so...

29,950*0.6*2=35,940 in interest

I hope one works!

find the highest common factor of 20,10and25​

Answers

Answer:

5

Step-by-step explanation:

5, 10, 15, 20, 25

5, 10, 15, 20, 25

5, 10, 15, 20, 25

Hope this helps!!!

Have a great day!!!! :)

Answer:

5

Step-by-step explanation:

factors of 20:

1, 2, 4, 5, 10, 20

factors of 10:

1, 2, 5, 10

factors of 25:

1, 5, 25

as you can see from the factor list of each number, 5 is the higest common factor.

determine the following​

Answers

Answer:

Step-by-step explanation:

At school, 282 students were awarded Kona Ice, 43 students were awarded candy bars, and 5 students were awarded water bottles. How many more students were awarded Kona Ice than those who were awarded candy and water bottles.

Answers

Answer is 234 students

Answer:

234 students were awarded more Kona Ice.

Step-by-step explanation:

This is a 2 step equation.

You take the 43 students who were awarded candy bars and the 5 who were awarded water bottles and add them.

43+5=48

Then you take the number of students who were awarded Kona Ice 282 and subtract your total of 48.

282-48=234

Factorise the following.​

Answers

Answer:

Q.1 49x²- 25y²

= (7x)² - (5y)²

= (7x+5y)(7x - 5y)

Q.2 x²y² - 64

=(xy)² - (8)²

=(xy+8)(xy - 8)

X=? Y=2x+7 Z=45 Find x in the following​

Answers

Answer:

19

Step-by-step explanation:

2x+7=45

2x=45-7

2x=38

2x/2=38/2

X=19

circle WX = xy 2x+16, xw 7x-29 find wx

Answers

The value of WX will be; (8y³)/(7y+8).

To find the length of WX, we need to substitute the given values of x and simplify the expression:

WX = xy/(2x+16) - xw/(7x-29)

xy/(2x+16) = xw/(7x-29)

Cross-multiplying, we get:

xy(7x-29) = xw(2x+16)

Expanding both sides;

7x²y - 29xy = 2x²w + 16xw

Rearranging terms and factoring out x;

x(7xy - 2xw) = 29xy - 16xw

Solving for x, we get:

x = (29xy - 16xw)/(7xy - 2xw)

Now we can substitute this value of x into the expression for WX to find its value. use the expression WX = xy/(2x+16):

WX = xy/(2x+16)

WX = y(29xy - 16xw)/[2(7xy - 2xw) + 16]

Simplifying the denominator,

WX = y(29xy - 16xw)/[14xy - 4xw + 16]

Finally, we can substitute the given values of xw and xy to get,

WX = y(29xy - 16xw)/[14xy - 4xw + 16] = (8y³)/(7y+8)

Therefore, WX = (8y³)/(7y+8).

Learn more about chord of the circle : brainly.com/question/1654080

#SPJ1

Answer: WX = 34

Step-by-step explanation:

what is x ? full explanation please

Answers

Answer:

x = 6

Step-by-step explanation:

Looking at the figure, we can say that it is a vertical angle.

5x - 7 = 23

5x - 7 + 7 = 23 + 7

5x = 30

5x / 5 = 30 / 5

x = 6

Since it is a vertical angle, the other side should be 23⁰. You can also plug in the x value to find if it gives you 23⁰ or not.

5x - 7

5(6) - 7

30 - 7

23

Therefore, x = 6. Hope this helps and stay safe, happy, and healthy, thank you :) !!

please answer! will give brainliest

Answers

Answer:

1.4

Step-by-step explanation:

the answer should be 1.4

You measure the sides of a pool and find that it is 20 yards wide and 60 yards long.
30 points!
Approximately, how far would it be diagonally between corners of the pool?

63 yards
55 yards
67 yards
72 yards

Answers

Answer:

63

Step-by-step explanation:

Answer: 63

Step-by-step explanation:

Amy’s watch loses time at the rate of 3 minutes every 5 days. Fine the number of days before the watch loses one hour or time

Please note that this is directly proportional applications and the formula is output unit/input unit times input unit

Answers

Answer:

100 days

Step-by-step explanation:

3 min loss ⇔ 5 days60 min loss ⇔ x days

Cross multiply and solve for x:

3x = 5*603x = 300x = 300/3x = 100 days

a) One of two boxes contain 4 red balls and 2 green balls and the second box contains 4 green and two red balls. By design, the probabilities of selecting box 1 or box 2 at random are 1/3 for box 1 and 2/3 for box 2. A box is selected at random and a ball is selected at random from it. a) Given that the ball selected is red, what is the probability it was selected from the first box? b) Given that the ball selected is red, what is the probability it was selected from the second box? c) Compare the results in parts a) and b) and explain the answer.

Answers

Answer:

The answer is below

Step-by-step explanation:

Let B₁ represent box 1, B₂ represent box 2, E₁ represent the event of selecting box 1, E₂ represent the event of selecting box 2 and R represent the event of selecting a red ball.

Given that:

Probability of selecting box 2 P(E₂) = 2/3, Probability of selecting box 1 = P(E₁) = 1/3

Probability of selecting red ball from box 1 = P(R | E₁) = 4/6 [4 red balls out of 4 red, 2 green]

Probability of selecting red ball from box 2 = P(R | E₂) = 2/6 [2 red balls out of 2 red, 4 green]

a)

Given the ball is red, the probability it was selected from the first box is:

[tex]P(E_1|R)=\frac{P(R|E_1)P(E_1)}{P(R|E_1)P(E_1)+P(R|E_2)P(E_2)} =\frac{2/3*1/3}{(2/3*1/3)+(1/3*2/3))} =\frac{1}{2}[/tex]

b)

Given the ball is red, the probability it was selected from the second box is:

[tex]P(E_2|R)=\frac{P(R|E_2)P(E_1)}{P(R|E_2)P(E_2)+P(R|E_1)P(E_1)} =\frac{1/3*2/3}{(1/3*2/3)+(2/3*1/3))} =\frac{1}{2}[/tex]

c)

We can see that both probabilities are equal. Although we have more red balls in box 1 (twice as much) than in box 2 but the probability of selecting from box 2 (is twice as much) than from selecting from box 1.

The probability that the ball selected is red and it is selected from the first box is 1/2 and the probability that the ball selected is red and it is selected from the second box is 1/2.

Given :

One of the two boxes contains 4 red balls and 2 green balls and the second box contains 4 green and two red balls. By design, the probabilities of selecting box 1 or box 2 at random are 1/3 for box 1 and 2/3 for box 2.

a) The probability that the ball selected is red and it is selected from the first box is:

[tex]P(E_1|R)=\dfrac{P(R|E_1)P(E_1)}{P(R|E_1)P(E_1)+P(R|E_2)P(E_2)}[/tex]

[tex]P(E_1|R)=\dfrac{\dfrac{2}{3}\times \dfrac{1}{3}}{\dfrac{2}{3}\times \dfrac{1}{3}+\dfrac{1}{3}\times \dfrac{2}{3}}[/tex]

[tex]P(E_1|R)=\dfrac{1}{2}[/tex]

b) The probability that the ball selected is red and it is selected from the second box is:

[tex]P(E_2|R)=\dfrac{P(R|E_2)P(E_2)}{P(R|E_1)P(E_1)+P(R|E_2)P(E_2)}[/tex]

[tex]P(E_2|R)=\dfrac{\dfrac{2}{3}\times \dfrac{1}{3}}{\dfrac{2}{3}\times \dfrac{1}{3}+\dfrac{1}{3}\times \dfrac{2}{3}}[/tex]

[tex]P(E_2|R)=\dfrac{1}{2}[/tex]

c) The probability that the ball selected is red and it is selected from the first box and the probability that the ball selected is red and it is selected from the second box is the same.

For more information, refer to the link given below:

https://brainly.com/question/795909

Question 1.:

Which comparison is incorrect?

-3 > -7
-9 > 4
-4 > -6
7 > 5
________________________________

Question 2:

Which group of numbers is listed from least to greatest?

-4, -6, -7, -8, -9
-2, 3, 5, -8, 9
7, 4, -6, -7, -9
-2, -1, 0, 4, 9

Answers

Answer:

-7 is bigger

-9 is bigger

-6 is bigger

7 is bigger

I think.....

-9,-8,-7,-6,-4

-9,-7,-6,4,7

-2-1,0,4,9

-8,-2,3,5,8 ?

I guess I didn't understand the question

Help see the screenshot below! !

Answers

Answer:

p = 8h

Step-by-step explanation:

for example, 16= 8 times 2 or 24 = 8 times 3

Answer:

p = 8h

Step-by-step explanation:

Divide each amount he earns by the number of hours he works.

When he earns $8, he works 1 hour.

When he earns $16, he works 2 hours.

When he earns $24, he works 3 hours.

8/1 = 8

16/2 = 8

24/3 = 8

For any amount that he earns, it is always 8 times the number of hours he works.

Answer: p = 8h

WILL GIVE BRAINLIEST!!
If the length of a rectangle is decreased by 4 cm and the width is increased by 5 cm, the result will be a square, the area of which will be 40 cm2 greater than the area of the rectangle. Find the area of the rectangle.

Answers

Answer:

[tex]\huge\boxed{\sf Area = 12.8 cm\²}[/tex]

Step-by-step explanation:

Let,

The length of rectangle = x

The width of rectangle = y

The length of square = x - 4

The width of square = y + 5

Area of rectangle = xy

Area of square = xy + 40

Condition No. 1:

Area of Square = Length of square * Width of square

xy + 40 = (x - 4)(y - 5)

xy + 40 = xy - 5x - 4y + 20

- 5x - 4y = 40 - 20

- 5x - 4y = 20

5x + 4y = -20 ------------------(1)

Condition No. 2:

We know that:

Length of square = Width of square

x - 4 = y + 5

Add 4 to both sides

x = y + 5 + 4

x = y + 9 ---------------------------(2)

Solution:

Put Eq. (2) in (1)

5 (y + 9) + 4y = -20

5y + 45 + 4y = -20

9y + 45 = -20

9y = -20-45

y = -65 / 9

Now, Put the value of y in Eq. (2)

x = (-65 / 9) + 9

x = (-65 + 81) / 9

x = 16 / 9 cm

Now,

Area of rectangle = xy

Area = ( -65 / 9 ) * ( 16 / 9 )

Area = (-65*16) / (9*9)

Area = -1040/81

Area = 12.8 cm² (Neglecting -ve sign)

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Answer:

360

Step-by-step explanation:

360m^2

Artie ate 1/5 of a box of cereal last week and 1/5 of the box more this week. How much of Arties box of cereal is left?​

Answers

There is 3/5 of the box of cereal left

Which group has more people?

Answers

Answer:

Daytime people.

Step-by-step explanation:

Evening people have 125.

Daytine people have 140.

Answer:

B

Step-by-step explanation:

sorry if I am wrong

but you got what it takes to do it ⭐⭐⭐⭐⭐

omar paid $5 for his lunch and left $3 tip. what percent did omar tip his server

Answers

Answer:

60% of the payment of food

Step-by-step explanation:

he paid $5 for his food

and $3 for the tip

3/5 = 6/10 = 60%

60% of the original payment

60% is the correct answer hope this helps have a nice day

the diagonals of parallelogram ABCD intersect at point O. If segment AC is a diagonal and AO = 5, then what is AC

Answers

9514 1404 393

Answer:

  10

Step-by-step explanation:

The diagonals of a parallelogram bisect each other. That is, point O is the midpoint of AC. If AO = 5, then OC = 5 and AC = 5+5 = 10.

Suzanna uses a 1/4 cup measuring scoop to make her coffee. If she needs to fill her coffee filter with 2 cuos of coffe grounds,how many 1/4 cups scoops will she need to use

Answers

Answer:

8

Step-by-step explanation:

1/4 times 8 is 2

what times 3 equals 3/10

Answers

Answer:

1/10

Step-by-step explanation:

Divide 3/10 by 3. Remember to "keep, flip, change".

3/10 ÷ 3/1

3/10 × 1/3

Multiply across: 3/10 × 1/3 = 3/30

Simplify: 3/30 = 1/10

How do you expand this out to its full size? 3.2×10^9​

Answers

Answer:

3,200,000,000

Step-by-step explanation:

3,2 * 10^9 =

= 3,2 * 1 000 000 000 =

= 32 000 00 000

An occupational safety officer for a large company is conducting a study to investigate back problems in office workers who use a computer for most of the workday. The study will investigate the difference in back problems for workers who stand and workers who sit. A group of 68 volunteers have agreed to participate in the nine-month study. Half the group is randomly assigned to work while standing, and the other half is assigned to work while sitting. At the end of the study, the mean number of back problems between the two groups will be calculated. The officer will use the results to estimate the difference in the mean number of back problems between those who work while standing and those who work while sitting.
Which of the following is an appropriate inference procedure for the study?
A. A one-sample tt-interval for a population mean
B. A one-sample tt-interval for a sample mean
C. A matched pairs tt-interval for a mean difference
D. A two-sample tt-interval for a difference between sample means
E. A two-sample tt-interval for a difference between population means

Answers

Answer:

C. A matched pairs tt-interval for a mean difference

Step-by-step explanation:

When the observations from two samples are paired either naturally or by design we find the difference between the two observations of each pair. Treating the differences as a random sample from a normal population with mean ud= u1-u2 and unknown standard deviation , we perform one sample t- test on them . This is called paired difference or a paired or a matched t- test.

The test statistic

t= d`/sd/√n

where d`= ∑ di/n

and sd= ∑ (di- d`)²/n-1

with υ= n-1 degrees of freedom.

For example suppose 10 young recruits are given a strenuous physical training programme by Army. Their weights are recorded before they begin and after they complete they complete the training. The two observations obtained for each recruit. i.e. before and after measurements constitute natural pairing.

I need help please because I don’t get it

Answers

Answer: x = 5

Explanation:
I am not very good at explaining but
Side x corresponds to side 11
And side 4 corresponds to side 10

The triangle got bigger

Side 4 increased by 6 to get 10
So you increase c by 6 to get 11
x + 6 = 11
x = 11 - 6
x = 5

Answer:

x=5

Step-by-step explanation:

already explained.

How many tiles with dimensions 14 cm and 9 cm will be needed to fit in a rectangular
region whose length and breadth are 168 cm and 72 cm respectively?

Answers

Answer:

96 tiles

Step-by-step explanation:

if the rectangular region has dimensions of 168cm by 72 cm then what you would do is multiple them to find the area (168 x 72) which would equal 12,096. then after that you would find the area of the tiles, with the given dimensions being 14cm by 9cm you would do 14 x 9, which would give you 126 sq cm. then after you have you two products, you would then divide them (12,096/126). this equation would give you the sum of 96 tiles be able to fit within the rectangular region.

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