Answers
Answer: Only j = 2
============================================
Explanation:
Let's solve for j
[tex]\frac{96}{j} \ge 40\\\\96 \ge 40j\\\\\frac{96}{40} \ge j\\\\2.4 \ge j\\\\j \le 2.4[/tex]
In the second step, I multiplied both sides by j. If j is a positive number, then the inequality sign will not flip. All of the answer choices are positive numbers, so we don't have to worry about the inequality sign flipping.
The last step shows that j = 2.4 or j < 2.4
So j is 2.4 or smaller.
Of the list given to us, only j = 2 fits the description, since something like j = 8 is not 2.4 or smaller.
---------------------------
If j = 2, then,
[tex]\frac{96}{j} \ge 40\\\\\frac{96}{2} \ge 40\\\\48 \ge 40\\\\[/tex]
which is a true statement since 48 is larger than 40. This shows that j = 2 is a solution.
Something like j = 8 does not work because
[tex]\frac{96}{j} \ge 40\\\\\frac{96}{8} \ge 40\\\\12 \ge 40\\\\[/tex]
which is false because 12 is not equal to 40 or larger than 40. This means j = 8 is not a solution. You should find that j = 12 and j = 3 lead to similar false statements.
Of the list given, j = 2 is the only solution.
______________________________
1.) Solve using j = 12:Plug in 12: [tex]\frac{96}{12}[/tex] ≥ [tex]40[/tex]Divide 96 by 12: [tex]=8[/tex] Compare: [tex]8[/tex] ≥ [tex]40[/tex]
So this is False.
2.) Solve using j = 8:Plug in 8: [tex]\frac{96}{8}[/tex] ≥ [tex]40[/tex]Divide 96 by 8: [tex]=12[/tex] Compare: [tex]12[/tex] ≥ [tex]40[/tex]
So this is False.
3.) Solve using j = 2:Plug in 2: [tex]\frac{96}{2}[/tex] ≥ [tex]40[/tex] Divide 96 by 2: [tex]=48[/tex]Compare: [tex]48[/tex] ≥ [tex]40[/tex]So this is True.
4.) Solve using j = 3:Plug in 3: [tex]\frac{96}{3}[/tex] ≥ [tex]40[/tex]Divide 96 by 3: [tex]=32[/tex] Compare: [tex]32[/tex] ≥ [tex]40[/tex]So this is False.
______________________________
Related Questions
PLEASE HELP ME ON THIS THE ANSWERS ARE 1/3 cm/s, 1/2 cm/s, 2/3 cm/s, and 3/2 cm/s
Answers
Answer: 3/2 cm per second
========================================================
Explanation:
We could compute the slope of this line to get the answer, or we could simply compute y/x. This shortcut only works because the line goes through the origin. If the line didn't go through the origin, then we would have to use the slope formula.
The unit rate is y/x = 9/6 = 3/2 cm per second. I used the point (9,6) to compute the unit rate.
We can think of the fraction 3/2 as 1.5, so the unit rate is equivalent to 1.5 cm/sec.
Find the 10th term in the
following sequence:
-21, -27, -33, -39,
Answers
Enter a formula using k to connect the two variables.
F is proportional to a.
Please help
Answers
Answer:
Weres The Formula?
Step-by-step explanation:
Answer:
f=ka
Step-by-step explanation:
What is the slope of this line
Answers
Answer:
K=2
Step-by-step explanation:
I es Smrt
A and B are two mutually exclusive events.
P(A) = 0.3 and P(A or B) = 0.7
Work out the value of P(B).
Answers
HELP PLS PLSSSSS
ASAP
Answers
Answer:
9(9d+4)
Step-by-step explanation:
Hope I helped!
The sum of the digits of a certain two-digit number is 7. Reversing its digits increases the number by 9. What is the number?
Answers
Answer:
34
Step-by-step explanation:
5x + 4x - 4x plz help me
Answers
hipe that helps
a triangle has two sides of length 5 and 4 what is the smallest possible whole-number length for the third side
Answers
Answer:
1
Step-by-step explanation:
Question 7(Multiple Choice Worth 1 points)
(05.02 MC)
A standard American Eskimo dog has a mean weight of 30 pounds with a standard deviation of 2 pounds. Assuming the weights of standard Eskimo dogs are normally distributed, what range of weights would 99.7% of the dogs have?
Approximately 26–34 pounds
Approximately 24–36 pounds
Approximately 28–32 pounds
Approximately 29–31 pounds
Answers
Answer: C
Step-by-step explanation: I took the test and got it right
help please will give brainliest PLEASE
Answers
Answer:
I think the answer is b the answer is b
Answer:
The answer is really and surely B
Work out the area of a rectangle with base, b = 20mm and perimeter, P = 42mm.
Answers
Answer:
20mm
Step-by-step explanation:
base=20mm
base x 2 because there are two long lines
20 x 2 = 40
42-40=2
amount needed on either side to balance
height=1mm
20 x 1 = 20mm
area = 20mm
Answer:
Let the length of the rectangle be 'l'
We have,
Perimeter of rectangle, P = 42mm.
[tex]or, 2(l+b) = 42\\or, l +b = \frac{42}{2} = 21\\or, l + 20 = 21\\or, l = 1mm\\[/tex]
Area of rectangle = [tex]lb = 1(20) = 20mm^{2}[/tex]
-20t>-80 what is t and how do you graph it on a nuberline
Answers
Answer:
Step-by-step explanation:
Divide both sides by -20. If you divide by a negative, you have to switch the inequality sign. So now you have this for t:
t < 4
Draw a circle around 4 on a number line, but do not shade it in. Then everything below 4 is the right answer for the value of t.
What is the area of this figure?
Enter your answer in the box.
mm²
Composite figure composed of a a right triangle with a base of 3 mm and a height of 4 mm, and two rectangles, one with side lengths of 3mm and 4mm, the other with side lengths of 1 mm and 6 mm.
Answers
12cm2 or 24 because if u do b and h and subtract half u will 12
Please help it’s a test and I only have 50 minutes left
Find x. Round to the nearest hundredth if necessary.
Answers
Answer:
60
Step-by-step explanation:
X is equal to 60 degrees
evaluate 11.5x + 10.7y when x = 3 and y = 4
Answers
Answer: 77.3
Step-by-step explanation:
11.5(3)+10.7(4)
11.5 times 3 equals 34.5
and 10.7 times 4 equals 42.8
34.5 plus 42.8 equals 77.3
Answer:
77.3 (see below)
Step-by-step explanation:
To solve, plug in the values given into the expression given and simplify:
11.5x + 10.7y
11.5 (3) + 10.7 (4)
34.5 + 42.8
77.3
HI WHAT IS 7/6 OF 456327=
PLEEEEAAASE HEEEELLLP ME!!!!!!!!
Answers
Answer:
532381.5
Step-by-step explanation:
456327 divided by 6 to get 1/6 = 76054.5
76054.5 x 7 to get 7/6 = 532381.5
or 456327 (6/6) + 76054.5 (1/6) =532381.5
Calculate the perimeter of this shape.
12 cm
18 cm
Answers
Answer:
Step-by-step explanation:
P = 2l + 2w
= 2(12) + 2(18)
= 24 + 36 = 60
how is the following written with only one exponent?
a^3 . a^5
Answers
Answer:
The expression 103 is called the exponential expression. ... The exponent applies only to the number that it is next to. ... If −3 is to be the base, it must be written as (−3)4, which means −3 • −3 • −3 ... From row 1 to row 2, the exponential form goes from 105 to 104. ... Following the pattern, you see that 100 is equal to 1.
Step-by-step explanation:
Find the geometric mean of sqrt 77 and sqrt 343.
Answers
Answer:
12.75
Step-by-step explanation:
The computation of the geometric mean of sqrt 77 and sqrt 343 is given below:
As we know that
Geometric mean = [tex]\sqrt{ab}[/tex]
where
a is the first number = [tex]\sqrt{77}[/tex]
And, the b is the second number = [tex]\sqrt{343}[/tex]
Now first we have to convert into a number
For a it, is = 8.78
And, for b, it is = 18.52
Now the geometric mean is
[tex]= \sqrt{8.78 \times 18.52}[/tex]
= 12.75
Number 8 please I don’t know anything
Answers
Answer:
A. Domain: 1,2 Range: 0,1,4
B. Domain: 0,2,4, Range: 1,2,3,
Step-by-step explanation:
Domain is the x axis
Range is the y axis
can someone help me with this?
-5k = 12
thanks!
Answers
Answer:
Not sure what you wanted but here Divide each term by
−
5
-
5
and simplify.
Exact Form:
k
=
−
12
5
k
=
-
12
5
Decimal Form:
k
=
−
2.4
k
=
-
2.4
Mixed Number Form:
k
=
−
2
2
5
Step-by-step explanation:
Answer:
k= -2.4
Step-by-step explanation:
a pair of shoes originally priced at $120 are on sale for 89.99 what percent discount was applied ?round to the nearest whole percent.
Answers
Answer:
25%
Step-by-step explanation:
Divide 89.99 or 90 (since you are rounding) by 120, and you get .7499 or 75%. You have 25% ($30) as the discount because 90 is 75% of $120.
This is my 2 try can someone plz help me get the answer
Answers
Answer:
surface area is the answer
y = 3x - 1
y = x - 7
Solve with Substitution
Answers
(-3) Y = x - 7. -3y = -3x + 21
-2y = 20
-2. = -2
Y = - 10
Y = 3x - 1
-10 = 3x - 1
+ 1. + 1
-9. = 3x
3. 3
-3 = x
(-3,-10)
Solve the equation [2] for the variable of y
2 . Y = x-7
Plug this in for variable y in the equation [1]
1 (x -7 ) -3x = -1
1 -2x = 6
Solve the equation [1] for the variable x
1 2x =-6
1 x= -3
By now we know this much
Y = x-7
X =-3
Use the x value to solve for y
Y= ( -3 ) -7 = -10
simplify
5p - 4p - 4p
Answers
Answer:
-3p
Step-by-step explanation:
Answer:
-3p
Step-by-step explanation:
5p - 4p = 1p - 4p = -3p
3 of 8
The area of a circle is 16.71cm2.
Find the length of the radius rounded to 2 DP.
Answers
Answer:
Radius = 2.31 cm
Step-by-step explanation:
Area of circle = 16.71 square centimeters
[tex]\pi r^2 = 16.71 \\3.14r^2=16.71\\r^2=\frac{16.71}{3.14}\\r^2=5.32\\\sqrt{r^2}=\sqrt{5.32}\\r=2.306[/tex]
Radius of circle = 2.31 centimeter
25,002,000 in scientific notation
Answers
Answer:
2.5002 × 10^3 i think, dont quote me on that
Step-by-step explanation:
60 plus 18% ill give brainliest :)
Answers
Answer:
70.8
Step-by-step explanation:
YOU'RE WELCOME
Some teenagers collected trash for a beach cleanup. The data for the number of pounds of trash collected by each teenager are shown below. 26, 26, 21, 22, 20, 25, 35 What is the standard deviation of the data? 0 pounds 4.66 pounds 5.03 pounds 25.33 pounds
Answers
Answer:
4.66
Step-by-step explanation:
We are given the following data
26, 26, 21, 22, 20, 25, 35
Step 1
We find the Mean
Mean = 26+ 26+ 21+ 22+20+25+ 35/7
= 175/7
= 25
Step 2
We find the Standard Deviation
The formula for Standard deviation that we would use is the Population Standard deviation, this is because the data given above is the data of the number of pounds of trash collected by each teenager
= √(x - Mean)²/n
= √(26 - 25)²+( 26 - 25)²+ (21 - 25)²+ (22 - 25)² +(20 - 25)²+(25 - 25)²+ (35 - 25)²/7
= √152/7
= √21.7142857
= 4.65985898
Approximately = 4.66
Answer:
5.03 Pounds (C)
ED2021
The person above me is right, but you gotta solve for sample data; not population.
!This is for standard deviation!