Answer:
x ≥ 7
Step-by-step explanation:
First, put the same terms on the same side. So subtract 5 from both sides. You will get:
-3x ≤ -21
Divide both sides by -3 to get x alone. When dividing, the inequality sign will change to the opposite. So it will go from a (less than or equal to) sign to a (greater than or equal to) sign.
You will get:
x ≥ 7
Therefore, x will be a number that is greater than or equal to 7.
Mrs. Deery has 6 large pieces of construction paper for an art project. She has 24 students in her class. What fraction of the paper will each student receive if it is divided into equal parts?
Answer:
Step-by-step explanation:
The first term of a sequence is 3 and the common ratio is 3. The sequence is:
a. 3, 6, 9, 12,...
b 3, 9, 27, 81,...
c 3, 9, 27, 36,...
d None of the choices are correct.
Answer:
B
Step-by-step explanation:
94 – 3( -7 + ( 5 – 8 ) ^2 )
Answer:
142 is the correct answer (PEMDAS)
The value of a printer is decreasing by a constant percent rate e
value of the printer at the end of each year. which table represents the value of the printer at the end of each year
Answer:
b.
Step-by-step explanation:
A spinner numbered 1 to 8 is spun and a six-sided die is rolled. What is the probability of getting a multiple of 4 on the spinner and a multiple of 4 on the die?
Answer:
1/24
Step-by-step explanation:
P(4,8 and 4) = 2/8 x 1/6 = 1/24
What is the slope of the line that passes through the points (-6, -7) and
(-24. - 7)? Write your answer in simplest form.
Answer:
-18/0 or 0
Step-by-step explanation:
-9(x+2)=54 apply the distributive property and simplify
Answer:
x = -8
Step-by-step explanation:
-9 (x+2) = 54
-9x - 18 = 54
-9x = 72
x = -8
Hope this helps :)
Let me know if there are any mistakes!!
Which of the points shown below are on the line given by the equation y = 4x?
Check all that appply.
Answer:
The answer would be (1,4)
Step-by-step explanation:
If the circumference of the circle above is 25.12 units, what is the area? (Use 3.14 for T.)
Answer:
50.24 units2
Step-by-step explanation:
4. The table below shows how much water is needed compared to flour, in a given recipe. What is
the ratio of flour to water (in simplest form)?
Flour (cups).
6
9
10
12
Water (cups)
2.
3
3 1/3
4
Answer:
1 to 3
Step-by-step explanation:
because if you were to divide by 2 you would get your base number 1 that is simplest form
Which set of angles will be complimentary
∠1 + ∠3 + 90° = 180°
∠1 + ∠3 = 90°
∠3 = ∠4 (vertically opposite angles)
∠1 + ∠4 = 90°
Therefore, the answer is ∠1 + ∠4
Refer to the Behavioral Research in Accounting (January 2008) study of Machiavellian traits in accountants, Exercise 1.6 (p. 6). Recall that a questionnaire was administered to a random sample of 700 account- ing alumni of a large southwestern university; how- ever, due to nonresponse and incomplete answers, only 198 questionnaires could be analyzed. Based on this information, the researchers concluded that Machiavellian behavior is not required to achieve success in the accounting profession. (a) What is the population of interest to the researcher? (b) Identify the sample. (c) What inference was made by the researcher? (d) How might the nonresponses impact the inference?
Answer:
Behavioral Research in Accounting (January 2008) study of Machiavellian traits in accountants
a) Population of interest to the researcher: accountants
b) Sample = 700 accounting alumni
c) The inference made by the researcher = Machiavellian behavior is not required to achieve success in the accounting profession.
d) The non-responses reduce the sample size and this might introduce bias to the inference made to the population.
Step-by-step explanation:
a) Data and Calculations:
Research Question = Is Machiavellian behavior is required to achieve success in the accounting profession?
Population of interest = all accountants
Sample size = 700 accounting alumni of a university
No. of analyzed questionnaires = 198
No. of questionnaires not analyzed due to nonresponse and incomplete answers = 502 (700 - 198)
Percentage of analyzed questionnaires to sample size = 28.3% (198/700 *100)
Percentage of questionnaires not analyzed = 71.7% (100% - 28.3%)
Conclusion reached by the researchers = Machiavellian behavior is not required to achieve success in the accounting profession.
To celebrate the Valentine’s Day, Mary is putting magnets on some of the lockers. There are 110 lockers along one side of her school's hallway. She puts a heart magnet on every 4th locker and a flower magnet on every 9th locker. Is this a GCF or an LCM question?
Answer: GCF
Step-by-step explanation:
Please solve and explain how you got your answer! I will give BRAINIEST to the right answer and explained best.
(Picture)
Answer:
6.28
Step-by-step explanation:
C=2πr=2·π·1≈6.28319
Hope this helps ;)
Which of these represents the equation of a line that passes through the points (-5, -4) and (3, 8)?
A
3
y = x +
7
2
B.
y = {
C
2
3
С
y = ſa +6
y= 3x - 22
D
2
If you deposit 4500 in an account paying 3.2% interest continually home much will the account balance be after 1.5 year
Answer:
We conclude that the total amount accrued, principal plus interest, from compound interest on an original principal of $4,500.00 at a rate of 3.2% per year compounded continuously over 1.5 years is $4,721.27.
Step-by-step explanation:
Given
Principle P = 4500 (Let say in $)Interest rate r = 3.2% = 0.032Time period t = 1.5 yearsTo determine
Accrue Amount A = ?
Using the formula
[tex]A\:=\:Pe^{rt}[/tex]
substitute r = 0.032, P = 4500, and t = 1.5
[tex]A\:=\:4,500.00\left(2.71828\right)^{\left(0.032\right)\left(1.5\right)}[/tex]
A = $ 4721.27
Therefore, we conclude that the total amount accrued, principal plus interest, from compound interest on an original principal of $4,500.00 at a rate of 3.2% per year compounded continuously over 1.5 years is $4,721.27.
Help me please, 1. And 2.
Answer:
Step-by-step explanation:YOU HAVE TO SHOW ME THE WHOLE THING SO THAT I CAN ANSWER IT DUH
If anyone can help me with this it would be awesome
Answer:
The last question is 41!
Step-by-step explanation:
If 2/3n = -6, then 1/3n =
Evaluate
2a+2b when a=10.8 and b=8.3.
Find the measure of angle ABD.
Answer:
ABD=23
Step-by-step explanation:
9x-22=6x-7
3x= 15
x=5 but wait thats only what X is so
9(5)-22
45-22
ABD=23
police chase a car. police are originally 5 miles behind. if the police car's speed is 90 mph and the car they chase is moving with a speed of 80 mph. how long will it take them to catch up?
Step-by-step explanation:
Let x be the number of hours for
the police to catch up to the car.
We have 90x = 80x + 5.
=> 10x = 5
=> x = 0.5.
Hence it will take them 30 minutes.
Can someone please Help meeeee !!!!!
Answer:
4
Step-by-step explanation:
x must equal 2 and 2 to the power of 2 is 4
Answer:
4
Step-by-step explanation:
Original equation: 3x-1=5
Add 1 on both sides: 3x=6
Divide by 3 on both sides: x=2
If x=2, then x^2 = 4.
Let me know if this helps!
Convert 1/4% to ratio
Answer:
1 : 4
Step-by-step explanation:
Could use some help pls.
Answer:
9 cans of soup and the 4 frozen dinners were purchased
Step-by-step explanation:
Let x represent the number of cans of soup purchased.
Let y represent the number of frozen dinners purchased.
Lincoln purchased a total of 13 cans of soup and frozen dinners. This means that
x + y = 13
Each can of soup has 250 mg of sodium and each frozen dinner has 550 mg of sodium. The 13 cans of soup and frozen dinners which he purchased collectively contain 4450 mg of sodium. This means that
250x + 550y = 4450 - - - - - - - - -1
Substituting x = 13 - y into equation 1, it becomes
250(13 - y) + 550y = 4450
3250 - 250y + 550y = 4450
- 250y + 550y = 4450 - 3250
300y = 1200
y = 1200/300
y = 4
Substituting y = 4 into x = 13 - y, it becomes
x = 13 - 4 = 9
There is an unknown number of people at the beginning of lunch. Then...
Each student had 3 friends come sit with them, tripling the amount.
Then the entire group divided into 4 groups, and all but one group left and went outside, so only 1 fourthof the total students were left in the lunchroom
7 more people came into the lunchroom
The total number of people in the lunchroom at the end of lunch was 16
Answer:
5.25
Step-by-step explanation:
What is the measure of A
Answer: it is about 80%
Step-by-step explanation:
Answer:
i think about 140 degrees
Step-by-step explanation:
20x=-58-2y
17x=-49-2y
Answer:
20x = -58 - 2y( Ans~ x= -29/11)
17x = -49 - 2y (Ans~ x = -49/19)
Step-by-step explanation:
(1) 20x = -58 2x
20x + 2x = -58
22x = -58
x = -29/11
(2) 17x = -49 - 2x
17x + 2x = -49
19x = -49
x = -49/19
U WELCOME!!
Answer:
y=1
x=-3
Step-by-step explanation:
20x=-58-2y
20x/20=(-58-2y)/20
x=(-58-2y)/20
17x=-49-2y
17x/17=(-49-2y)/17
x=(-49-2y)/17
(-58-2y)/20=(-49-2y)/17
17(-58-2y)=20(-49-2y)
-986-34y=-980-40y
add 40y to both sides
6y-986=-980
add 986 to both sides
6y=6
divide both sides by 6
y=1
substitute
20x=-58-2(1)
20x=-60
x=-3
Proof: (substituting x & y values in original equations)
20(-3)=-58-2(1)
-60=-60
17(-3)=-49-2(1)
-51=-51
For every 6 trucks there are 10 cars parked in the commuter lot. If there are 25
cars parked in the lot, how many trucks are there?
Answer:
15
Step-by-step explanation:
The ratio of trucks to cars is 6x/10. And in the problem it says that there are 25 cars. So, 10x = 25, x = 5/2. Then, 6x = 15
Gianna had a canister with 6 1/2 pounds of sugar. She used 2 3/4 pounds of sugar to make cookies. How much sugar is left in the canister?
A. 3 3/4
B. 4 1/4
C. 4 3/4
D. 17 7/8