Diana is training for a marathon. The total miles she runs varies from week to week but follows the pattern described in the table. At the beginning of her training, Diana limited her distance so that she did not run more than 10 miles during the first three days of the week. Write an inequality you can use to find the possible distances Diana may have run on Monday during the first week of training. Solve the inequality Describe the reasonable solutions

Answers

Answer 1

Answer:

The inequality 3x-(x-1)>5 represents this situation. Since Diana can run more than 1 mile on tuesday and more than 6 miles on sunday.

Step-by-step explanation:


Related Questions

Solve for n

56 = -4n

a. 60

b. -4

c. -14

d. 224

Answers

The answer is c. -14

12+16q-q and q=2 evaluate

Answers

Answer:q=0,\:q=-16

Step-by-step explanation:

SOMEONE PLEASE EXPLAIN THIS TO ME

Answers

17.5 = x

Step-by-step explanation:

1st you add 85 and 55 since those to angles are congruent (means similar) to 8x

2nd you get 140 after adding then

3rd since the angles are congruent you just divide the 140 by 8 to get the value of x

Sam drove for 2 hours at 45 mph. He has the same distance remaining. How fast should he drive to make his average speed 60 mph?

Answers

Answer:

Step-by-step explanation:

2 hours at the speed of 45 mph = 90 miles in 2 hours

He should drive 60 miles per hour to make his speed 60 mph.

Panchito discovered the summer’s most refreshing beverage by mixing a 80% cranberry juice with a 4% of orange juice. How much of each should he mix together to make 190 ml of a 60% cranberry-orange juice blend

Answers

Answer:

Quantity of  cranberry juice = 95  ml  

Quantity of  orange   juice = 95  ml

Step-by-step explanation:

Step 1

Given ,

We have  80% cranberry juice and  4% of  orange juice.

We have to find how much each should be mixed to make 190 ml of a  60% cranberry-orange juice blend.

Step 2

Let's assume

Quantity of  cranberry juice =x ml  

Quantity of  orange   juice =y  ml  

Then,

x + y = 190

and

x×80100 +y×4100 = 190×60100  

⇒ 0.8x+0.4y = 114    

⇒ 2x+y = 285  

⇒ y = 285−2x  

Step 3

Substituting   y = 285−2x  in  x + y = 190  

⇒ x+285−2x = 190  

⇒ −x = 190−285  

⇒ −x = −95  

⇒ x = 95  ml  

Substituting x = 95   in  x + y = 190

⇒ 95 + y = 190  

⇒ y = 190−95  

⇒ y = 95 ml  

So,

Quantity of  cranberry juice =95  ml  

Quantity of  orange   juice = 95  ml  

what is the domain of the function y=2 square root x-6

Answers

Answer:

6 ≤ x < ∞

Step-by-step explanation:

interval notation: [6, ∞)

set builder notation: {x|x ≥ 6}

The difference of a number and 8 is -15

Answers

Answer:

-7

Step-by-step explanation:

x-8=-15

x=-7

No way you guys answer this correctly 0_0.

Answers

Answer:

C = 37.7

r = 6

Length - 0.740

Ok thanks for the points!

A consumer group has determined that the distribution of life spans for gas ranges (stoves) has a mean of 15.0 years and a standard deviation of 4.2 years. The distribution of life spans for electric ranges has a mean of 13.4 years and a standard deviation of 3.7 years. Both distributions are moderately skewed to the right. Suppose we take a simple random sample of 35 gas ranges and a second SRS of 40 electric ranges. Which of the following best describes the sampling distribution of the difference in mean life span of gas ranges and electric ranges?
a. Mean = 1.6 years, standard deviation = 7.9 years, shape: moderately right-skewed.
b. Mean = 1.6 years, standard deviation - 0.92 years, shape: approximately Normal.
c. Mean= 1.6 years, standard deviation = 0.92 years, shape: moderately right skewed.
d. Mean =1.6 years, standard deviation =0.40 years, shape: approximately Normal.
e. Mean =1.6 years, standard deviation =0.40 years, shape: moderately right skewed.

Answers

Answer:

b. Mean = 1.6 years, standard deviation - 0.92 years, shape: approximately Normal.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction of normal Variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

A consumer group has determined that the distribution of life spans for gas ranges (stoves) has a mean of 15.0 years and a standard deviation of 4.2 years. Sample of 35:

This means that:

[tex]\mu_G = 15[/tex]

[tex]s_G = \frac{4.2}{\sqrt{35}} = 0.71[/tex]

The distribution of life spans for electric ranges has a mean of 13.4 years and a standard deviation of 3.7 years. Sample of 40:

This means that:

[tex]\mu_E = 13.4[/tex]

[tex]s_E = \frac{3.7}{\sqrt{40}} = 0.585[/tex]

Which of the following best describes the sampling distribution of the difference in mean life span of gas ranges and electric ranges?

Shape is approximately normal.

Mean:

[tex]\mu = \mu_G - \mu_E = 15 - 13.4 = 1.6[/tex]

Standard deviation:

[tex]s = \sqrt{s_G^2+s_E^2} = \sqrt{0.71^2+0.585^2} = 0.92[/tex]

So the correct answer is given by option b.

Factorise
5 x y + 5 x + 4 y + 4​

Answers

Answer:

5 x y + 5 x + 4 y + 4

5x(y+1)+4(y+1)

(y+1)(5x+4)

A recipe for slime calls for 1/2 cup water and 1/4 cup glue. what is the total amount of liquid need to the recipe?​

Answers

Answer:

3/4 is the answer.

does 5+4=8 and does 1+1=2​

Answers

Answer:

5+4=9

and the second one is right

Step-by-step explanation:

;)

Answer:

the first one is incorrect but the second one is correct!

Step-by-step explanation:

5 + 4 = 9

if you have 5 apples and you want to add 4 more

5 + 1 + 1 + 1 + 1 = 9

If f(x) = x + 2x - 3, what is the value of f(1 + 2)?

Answers

Answer:

6

Explanation:

substituting- f(x)= (1+2) + 2(1+2) -3

3 + 2(3)-3

3+6-3

=6

HOPE IT HELPS

A square pyramid has a base with a side length of 6 inches and lateral faces with heights of 11 inches. What is the surface area of the pyramid?

Answers

Answer:

[tex]\huge\boxed{\sf 168\ in.\²}[/tex]

Step-by-step explanation:

Surface area of the base:

= Length * Length

= 6 * 6

= 36 in.²

Surface Area of 1 Lateral Face:

= [tex]\sf \frac{1}{2} (Base * Height)[/tex]

Base = 6 inches

Height = 11 inches

= 1/2 (6*11)

= 3 * 11

= 33 in.²

Surface Area of 4 lateral faces:

= 33 * 4

= 132 in.²

Surface Area of the whole pyramid:

= 132 + 36

= 168 in.²

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

Hope this helped!

~AH1807

Answer:

SA = 168 in.²

Step-by-step explanation:

The surface area is the sum of the area of the base and the areas of the 4 congruent triangular sides.

s = side of the base

h = height of each side

SA = s² + 4(sh/2)

SA = (6 in.)² + 4(6 in.)(11 in.)/2

SA = 36 in.² + 132 in.²

SA = 168 in.²

HELP
Pre-algebra
Not understanding :/

Answers

The answer will end up being c

Ahmed buys a house for £179500
A year later he sells the house for £190 270
Calculate the percentage profit Ahmed makes.
I
Total mar​

Answers

Answer: 6% of profit

Step-by-step explanation:

Find the % of profit

179 500 / 190 270 ≈ 0,94 = 94 %

100% - 94% = 6%

a rectangle prism has a volume of x^3 + 6x^2 - 7x - 60. If the height of the prism is x + 4, the dimensions of the base are

Answers

Height = volume / area of the base
= 10x^3 + 46x^2 - 21x - 27 / 2x^2 + 8x - 9
10x^3 / 2x^2 = 5x so the first term in the answer will be 5x

If a point on a coordinate plane is placed 5 lines to the right and 3 lines up, what would the ordered pair be?

Answers

Answer:

(5,3)

Step-by-step explanation:

Divide x2 by x - 1. What is the value of the remainder?
A) 1
B) -1
C) 2
D) o

Answers

Answer:

I think it's B.

Step-by-step explanation:

Divide using polynomial division.

x + 1 + 1/ x − 1.

Maybe not 100% sure.

Bobby Hill is taking lady bird to the vet. The bill
is $72 dollars. Lady bird received 3 shots for
$12 each and had to take 2 pills for x amount
each. How much were each pill?
12 = 72 - 12
72 12x + 3x
72 = 36 + 2x
None of the above

Answers

Answer:

72= 36 + 2x

Step-by-step explanation:

1 shot= $12

  3 shots= $12×3= $36

$72-$36= $36

2 pills= $36

  1 pill= $36/2=$18

x= $18

72= 36 + (2×18)=

      36 + 36= 72

A pair of Nike's that originally cost $90 are on sale. The sale price is $67.50. What is the discount expressed as percent change?

Answers

Answer:

It is a 25 percent discount

I say this because 90/67.5 equals 75 and 25 + 75 equals what... 100

Answer:

75% off

Step-by-step explanation:

90*.75=67.50


Which of the figures appear to be
congruent?

Answers

Answer:

II and II

They are very similar.

Hope that helps:)

Charles wanted to graph the amount of sugar (in teaspoons) used in cups of coffee at a schoolevent. He used the coffee and sugar usage table to make the graph below



( will give brainliest if you help)

Answers

Answer:

Its a

Step-by-step explanation:

5. What is the volume of the right triangular prism?
12 m
A. 64 m
B. 128 m
C. 192 m®
D. 384 m
4 m
8 m

Answers

5. C

V = 0.5 • 12 • 8 • 4 = 192

6. G

V = (1/3) 6x^2 • 6 • 8 = 96x^2

use elimination metho to solve the system of equations ​

Answers

Answer:

There are infinitely many solutions.

Step-by-step explanation:

3x + 2y = 7

-9x - 6y = -21

Now multiply the first equation by 3

3 × 3x + 2y = 7 ➡ 9x + 6y = 21 Now subtract second equation from first equation

9x + 6y - 9x - 6y = 21 - 21

0 = 0

The equation has infinitely many solutions meaning whatever value you write instead of x and y there will be solution.

24) Identify the binomials
a) 100
c) al-a+ba
b) x+y-xy
d) z2+z​

Answers

Answer:

b

Step-by-step explanation:

Your well wisher

Hope it will be helpful

A restaurant is offering 15 percent off beverages. The check is $90.00 with the beverage total being $15.00. What is the check total after the discount ?
A 77.75
B 76.50
C.75.00
D.87.75

Answers

B is the answer to your question

b because 90

                  15

                  15

               -_____

                  76.50

PLEASE HELP ME WITH THIS MATH PROBLEM
w−15=−4

Answers

Answer:

w = 11

Step-by-step explanation:

add 15 to each side of the equation

w = 15 + (-4)

w = 11

Answer: w=11

Step-by-step explanation:

Dina started swimming at 3:33 P.M. She swam until 4:31 P.M. How long did Dina swim?

Answers

Answer:

1 hour and 38 minutes

or 98 minutes

Step-by-step explanation:

subtract

4:31-3:31=98 minutes

98-60=38 minutes

= 1 hour and 38 minutes

or

+98 minutes

A rectangular prism has a length of 7 cm, a width of 4 cm, and a height of 2 1/2cm.

The prism is filled with cubes that have edge lengths of 1/2 cm.



How many cubes are needed to fill the rectangular prism?

Enter your answer in the box.

To fill the rectangular prism,
cubes are needed.

Answers

Answer:

560 cubes

Step-by-step explanation:

Volume of prism: lwh, 7*4*2.5, 70cm!

Volume of cubes: lwh, 0.5*0.5*0.5, 0.125cm!

70cm/0.125cm=560 cubes.

Answer:

560 cubes

Step-by-step explanation:

first solve the volume of the rectangular prism

V = l x w x h

where l is the length

w is the width

h is the height

V = 7 x 4 x 2.5

v = 70 cu cm

then solve the volume of the box

v = e^3

v = 0.5^3

v = 0.125

number of cubes = 70 / 0.125

number of cubes = 560 cubes

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