Solve each compound Inequality.42. -2 ≤ d + 1/2 < 4 1/2
44. 2t ≤ -4 or 7t ≥ 49
46. -1 ≤ a - 3 ≤ 2
48. A town's high temperature for a given month is 88 degrees Fahrenheit and the low temperature is 65 degrees Fahrenheit. Write a compound inequality to represent the range of temperatures for the given month.

Answers

Answer 1

Answer: 42.
-2 ≤ d + 1/2 < 4 1/2 (-1/2)
-2 1/2 ≤ d ≤ 4

44.
2t ≤ -4 or 7t ≥ 49
2t ≤ -4 (/2)
t ≤ -2
7t ≥ 49 (/7)
t ≥ 7

46.
-1 ≤ a - 3 ≤ 2 (+3)
2 ≤ a ≤ 5

The key to solving these types of questions is to think to yourself - what do I need to do to get the variable on its own? Then, apply this action to every part of the inequality separated by inequality signs. When you get two separate inequalities describing the value of the variable, just think about them separately and apply the same logic.

All you have to do for the last question (48.) is turn the question into an inequality. Calling the temperature t:

65 ≤ t ≤ 88

Notice the use of greater-than-or-equal symbols - this is because 65 and 88 were recorded temperatures, so are included in the range of values for t

I hope this helps

Related Questions

Show your work and check answer.4x+1=5x-2
PLEASE HELP I WOULD REALLY APPRECIATE IT!
nia has number cards for 2,3,8,9,5. what are all differents ways nia can arrange the cards to show only even number with the 2 in the ten thousands places
The gym teacher uses tape to mark a 4-square court on gym floor, as shown. The outerthe side lengths of 16 feet. What is the total length of tape the teacher uses to mark square A ?
A rectangular prism has volume 186.0 cubed. It is 1.6 cm high. What is the area of its base? How do you know?

In the function y = 10.00x + 35, y represents the cost of cabin lodging per occupant and x represents the number of occupants. How much does the cost increase for every occupant?

Answers

is cost $10 more for every occupant

Write an algebraic expression for 91 more than the square of a number

Answers

x^2+91
the variable represents the number

x^2+91this can be used for the expression

Which is a factor of each term of the polynomial?

(3d2 – 10d)

Answers

the only factor that both terms have is d

Answer:

Step-by-step explanation:

I did this on Imagine Math ;)

System of equations
X+3y=73
X+y=27

Answers

Steps:
1. Change x + y= 27 into y=mx+ b form
2. Subtract x on both sides
Y= -x + 27
3. Substitute the y in x + 3y= 73 for -x + 27

X + 3(-x + 27) = 73
X + -3x + 81= 73
-2x + 81= 73
4. Now subtract 81 on both sides
-2x=-8
5. X= 4
6. Now solve for y
7. Now substitute the x in x + y= 27 for 4
8. 4 + y= 27
9. Subtract 4 on both sides
10. Y= 23
11. Your answer is: x= -4 and y= 23 or (-4,23)

x+3y=73
x+y=27

Multiply the second equation by -3.

x+3y=73
-3x-3y=-81

Now add.

-2x=-8
x=4

Plug in 4.

4+y=27
Subtract 4 from both sides.
y=23

Ron and Pam each have 20 pennies Ron will put his pennies into 4 groups pam will put her pennies into 5 groups who will have more pennies in each group explain

Answers

Answer:

Step-by-step explanation:

Ron and Pam each have 20 pennies.

Ron will put his pennies into 4 groups.

In each group of Ron the number of pennies = $(20)/(4)$

= 5 pennies

Pam will put her pennies into 5 groups.

In each group of Pam the number of pennies = $(20)/(5)$

= 4 pennies

Ron will have 5 pennies in each group and Pam will have 4 pennies in each group, because Ron will make less groups of pennies than Pam.

Hence Ron will have more pennies in each group than Pam.

Ron would have more pennies in each group. This is because 20/4=5, leaving Ron with 5 pennies in 4 groups. Where as Pam would have 4 pennies in 5 groups.

Which polynomial represents the sum below?
(4x + 1) + (4x2 + x + 2)

Answers

Answer:

4x^2+5x+3

Step-by-step explanation:

(4x+1)+(4x^2+x+2)

4x^2+4x+x+1+2

4x^2+5x+3

Other Questions

Number oneA store sells 12 cans of nuts for $27 how much would it cost you to buy seven cans of nuts Number two Write the ratio 2/3 to 8 as a fraction in simplest form Number three Write the ratio 4/5 over 1/6 in simplest form Number four Write the ratio 1/8 ft. over 2/7 ft. in simplest form Number five You mix 1 1/2 quarts of juice with 5 1/4 quarts of ginger ale to make fruit punch what is the ratio of the amount of juice to the amount of ginger ale in simplest form Number six I am Bundling magazines to recycle I noticed that 6 magazines weigh The same amount what is the unit rate for pounds per magazine Number seven A bicyclist rides 1/5 mile in 1/65 hour. Write this ratio as a unit rate Thx for all your help

Ken keeps paper clips in a box that is the shape of a cube. Each side of the cube is 3inches. What is the volume of the box?

X=y+6X+6y=20 Solving systems of equations using substitution

there are 3 red marbles in a bag and there are 4 blue marbles in the bag which of the following is a possible total number of marbles?