10

Gary, Nancy, and Jamal are trying to write an inequality where all values in the set of numbers below make the inequality true.

{0, 1, 3, 4, 6, 12}

Consider their inequalities.

Gary: 6 > 0.50

Nancy: 30 -t < 18

Jamal: 12
Which student(s) wrote an inequality that is true for all values in the set of numbers? Select your answer from the drop-down list

Only Gary as the

Only Gary

Only Nancy

Only Jamal

Only Gary and

Nancy

Only Gary and

Jamal

Only Nancy and

Jamal

Answers

Answer 1

Answer:

Jamal's inequality is correct

Step-by-step explanation:

Given

[tex]Sets:\{0,1,3,4,6,12\}[/tex]

Gary: [tex]6>0.5t[/tex]

Nancy: [tex]30 -t \le 18[/tex]

Jamal: [tex]12 \le t+12[/tex]

Required

Which of the inequalities is/are true

Gary: [tex]6>0.5t[/tex]

[tex]6>0.5t[/tex]

Divide both sides by 0.5

[tex]\frac{6}{0.5} > \frac{0.5t}{0.5}[/tex]

[tex]12 > t[/tex]

Rewrite as:

[tex]t < 12[/tex]

Gary's inequality is false because: [tex]12 = 12[/tex]

Nancy: [tex]30 -t \le 18[/tex]

[tex]30 -t \le 18[/tex]

Collect like terms

[tex]-t \le 18 - 30[/tex]

[tex]-t \le -12[/tex]

Divide both sides by -1

[tex]t \ge 12[/tex]

Nancy's inequality is incorrect because: 0,1,3,4 and 6 are less than 12

Jamal: [tex]12 \le t+12[/tex]

[tex]12 \le t+12[/tex]

[tex]12 - 12 \le t[/tex]

[tex]0 \le t[/tex]

Rewrite as:

[tex]t \ge 0[/tex]

Jamal's inequality is correct because: 0,1,3,4,6 and 12 [tex]\ge 0[/tex]


Related Questions

Find the slope of the line that passes through (1, 11) and (9, 10).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

i think it would be negative. -1/8

Solve triangle ABC. (Round your answers to one decimal place.)
∠A =
13.5
°
∠B =
63.9
°
∠C =

Answers

< A + < B + < C = 180
13.5 + 63.9 + < C = 180
< C = 102.6

(Urgent) Worth 10 points 7.3

Answers

Step-by-step explanation:

A straight line adds up to 180°

m+3m=180°

4m=180°

m=45°

3m=45°

angle CBD=3(45)

=135°

The answer is 135 hope that helps!

A cookie jar contains 3 vanilla, 2 chocolate chip, and 7 gingersnap cookies. If one cookie is taken at random from the jar, what is the probability that it will be a vanilla cookie?

Answers

Answer:

3/12= 1/4

Step-by-step explanation: because you would add the all up for 12 and you have a 3 vanilla's so 3/12= 1/4

Find the area of the rhombus. Each indicated distance is half the length of it’s respective diagonal.
(image included)

Answers

Answer:

384 ft²

Step-by-step explanation:

12x16x2=384

please help me with this math project (photo linked). (7th grade unit 3) check my other questions plsss (last one)

Answers

1.  -3x - 17

2. -24x + 25

3. 2x + 4

4. -9x -9

5. 7x - 2

pleas help me the question is the image below

Answers

FOR ALL MY POINTS write an argumentative essay on why dog parks are "helpful or harmful"

READ PROMPTAnswer:

Step-by-step explanation:

Together, Dien and Jane can eat 2/3 of a pizza in 4 seconds. How long would it take each of them to eat the whole pizza alone if Jane can eat a pizza 5 seconds faster than Dien?

Answers

Answer:

Dien - 15 seconds, Jane - 10 seconds

Step-by-step explanation:

Together:

2/3 of pizza ⇒ 4 secondsFull pizza ⇒ 4 ÷ 2/3 = 6 seconds

Dien needs  x seconds to eat pizza

Jane needs  x - 5 seconds to eat pizza

In one second, Dien can eat 1/x, Jane can eat 1/(x - 5), together 1/6 of a pizza

1/x + 1/(x - 5) = 1/6x(x - 5) = 6(x + x - 5)x² - 5x - 12x + 30 = 0x² - 17x + 30 = 0(x - 15)(x - 2) = 0x = 15 (x = 2 is discounted as not realistic)

Dien can eat a pizza in 15 seconds, Jane can eat a pizza in 10 seconds

A water balloon was launched into the top of the hill 38 feet above the ground

Answers

Answer: -71.104 ft/sec

Step-by-step explanation:So you need to know how fast the balloon is moving when it hits this person's head. velocity is based on time. So you need the time that it hits this person's head. You can get time from the position equation. Because the balloon hits this person's head 6 feet from the ground, you know that the final position is at 6 so you plug that into the position equation and solve for t. You look and see what the appropriate t value is and plug it into the velocity equation and see what the answer is.

6=-16t^2+40t+60

0=-16t^2+40t+54

plug in those values into the quadratic formula or your calculator and you get:

t = -.972

or

t = 3.472

since you can't have negative time, the other answer must be it.

So you then plug it in and solve.

v(3.472) = -32(3.472) + 40

which is approximately -71.104 ft/sec

or if they just want speed, 71.104 ft/sec. (remember, speed is velocity without direction)

Find the value of x

Please help

Answers

Answer:

128 degrees

Step-by-step explanation:

360-90-90-52=128

HELP!!! DUE IN 8 MINS!! ​

Answers

Answer:

Step-by-step B. is your answer

explanation:

1, write a ratio in all three forms, to compare the days without games to the days in a year?

Answers

Answer:

1. 363 to 2

2. 363:2

3. 363/2

Step-by-step explanation:

1. First of all, there are 365 days in a year.

* Note that the question says there are only 2 days where sports aren't played.

2. As said in the question there are 3 ways to write a ratio: a to b; a : b; a/b. Now, let's think that what are a and b in this scenario? a= says without games= 2; and b= days in a year= 365.

3. Now fill in the variables with the numbers for each form of a ratio.

a. 363 to 2

b. 363:2

c. 363/2

Can someone help please, please no dirty links you will be reported.

Answers

Answer:

3.25

nskkdbskaxmxbshlmsg

-4--7=n cual es el valor de n ​

Answers

The answer is -11

-4 - -7 = -11

What TWO steps do you take to solve the following equation: 5x - 3 = 12

Answers

Answer:

First add 3 to each side

Then divide each side by 5

Step-by-step explanation:

5x - 3 = 12

First add 3 to each side

5x-3+3 = 12+3

5x = 15

Then divide each side by 5

5x/5 = 15/5

x = 3

Answer:

3

Step-by-step explanation:

5x = 12 + 3

x = 15/5

x = 3

What is the median of the data set?



9
8.5
8
10

Answers

Answer:

8.5

Step-by-step explanation:

When you write out the data set, it looks like this:

5, 8, 8, 8, 8, 9, 9, 9, 10, 10

The median means the exact middle of the data set. In this case, it falls between the 8 and the 9, so the middle would be 8.5, so that's the median of the set. I hope this helps :)

Answer:

The median is 8.5

Step-by-step explanation:

The median is the middle number in a data set. For example, if you had a data set:

2, 2, 3, 4, 4

You would go forwards and backwards in the set until you found the middle number, which is 3. 3 would be the median.

However, if there is no middle number (there are an even number of points in the set), you add the two remaining numbers and divide it by two.

For example, if the final two numbers were:

2, 6

You would add 2 and 6 to get 8, and divide by 2, and you get the median 4.

In this set, we have

5, 8, 8, 8, 8, 9, 9, 9, 10, 10.

The final two numbers are 8 and 9, so you add 8+9=17, divided by 2 = 8.5.

I need help with solving this​

Answers

Answer:

x=12

.......................

Question 7 (3 points) Write this decimal division as equivalent whole number division. 19.05 ÷ 1.5 = ÷ Find the quotient.

Answers

Answer:

~12.7~

Step-by-step explanation:

hope this helps brainlest!

Sally told Joe that if you are reducing an image, the scale factor is less than 1, and if you are enlarging an image, the scale factor is greater than 1. Is Sally correct? Explain.

Answers

Answer:

YES!

Step-by-step explanation:

if its less than 1, then ur reducing

ex. = 1 x 0.5 = 0.5

If its greater than 1, then ur increasing

1  1.5 = 1.5

Works with any number

i dont know how do i delete this

The Spanish club collected $13.45 from each of its nine members. How
much did the Spanish club collect?

Answers

Answer:

$121.05

Step-by-step explanation:

Answer:

$121.05

Step-by-step explanation:

Since we are told that there is 9 members and each once is 13.45 we can simply do 13.45 times 9 to get the number 121.05.

Which list shows the runners in order by their completion times from fastest to slowest

Answers

Answer:

answer is D

Step-by-step explanation:

12+1/2=12.5          12+2/5=12.4

What was the temperature in the city with an elevation of -9?

Answers

Answer:

7(u will trace the _9 in x axis to y axis where the blue dot is the value there will be our answer and that is 7)

For every hour of exercise, Tina drinks 8 ounces of water. What is the ratio of hours to water

Answers

Answer:

1:8

Step-by-step explanation:

1 hour for every 8 ounces gives a 1:8 ratio

Answer:

8:3 would be the ratio

A: 49
B: 33
C: 57
D: 16

Answers

Answer:

d

Step-by-step explanation:

i believe its 49 - 33= answer bc 49=49

Answer:

16°

Step-by-step explanation:

The two angles are vertical, meaning that they are the same

33 + 16 = 49

23, 75, 79, 99, 105, 110, 110, 142, 149, 168, 168, 170, 183, 195, 202
Find the IQR, show your work.

HELP!

Answers

Answer:

the IQR is 71

Step-by-step explanation:

the Xl is 99 and the Xu is 170. Xu-Xl=71

Please help me Please help me Please help me Please help me Please help me Please help me Please help me Please help me

Answers

Answer:

is a d :) for a 20y

Step-by-step explanation:

Louis has a bag of 2510 shells each pen shell is 18 cm long what is the combine length of the pen shells in meters

Answers

Answer:

45180cm

Step-by-step explanation:

You have to multiply the amount of shells by the length on one shell to get the length of all of them combined so, 2510 multiplied by 18 is 45180.

7. Below are the steps taken to simplify the expression. Which justification matches Step c of the simplified expression? *

7x+8y+5x+3(y+1)

a. 7x + 8y + 5x + 3y + 3
b. 7x + 5x + 8y + 3y + 3
c. (7x + 5x) + (8y + 3y) + 3
d. 12x + 11y+ 3

A. Associative Property of Addition

B. Commutative Property of Addition

C. Combine Like Terms

D. Distributive Property​

Answers

Answer:

A. Associative property of addition

Step-by-step explanation:

The associative property is about the grouping of terms/numbers in parentheses in an equation.

4.

What is the error in this equation for a trigonometric ratio? Explain the error in full sentences and give a corrected ratio. (5 points)

Answers

Answer:

[tex]\cos\ A = \frac{2}{4.5}[/tex]

Step-by-step explanation:

Given

[tex]sin\ A = \frac{2}{4.5}[/tex]

See attachment

Required

Explain and correct the error

The error in the equation is that: the formula of cosine of angle A is used to calculate the sine of angle A.

The ratio can be corrected as by using:

[tex]\cos\ A = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos\ A = \frac{AC}{AB}[/tex]

[tex]\cos\ A = \frac{2}{4.5}[/tex]

Please help is for noww

Answers

Answer:

25¢

Step-by-step explanation:

Answer: Answer: $0.25

Step-by-step explanation:

Let x be the total money was in her wallet and m be the cost of each petunia,

From the given table , the money left in wallet after purchasing 2 petunia =$6.50

Then we have the following equation: 6.50 = x - 2m - - - - - ( 1 ) Also, the money left in wallet after purchasing 8 petunia =$5 Then, we have 5 = x - 8m - - - - - - - - - ( 2 ) Subtracting (2) from (1) , we get 6.50 - 5 = -2m - (8m) then -2m + 8m = 1.50 then we 6m = 1.50. m = 1.50/6 = 0.25 hope this helped.

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