what is 24/98 in simplest form
Answer:24 ÷ 2
98 ÷ 2
Reduced fraction:
12
49
Therefore, 24/98 simplified to lowest terms is 12/49.
Step-by-step explanation:
scores on the act college entrance exam follow a bell-shaped distribution with mean 18 and standard deviation 6. Wayne's standardized score on the ACT was -0.5. what was Wayne's actual ACT score?
Answer:
His actual score is 15
Step-by-step explanation:
Here, we are interested in calculating Wayne’s actual score on the ACT
when we say the scores have being standardized, it means the score was reported in terms of the z-score and not the initial raw scores.
Now, mathematically, for the scores to have a negative z-score, it means it is actually below the mean.
The formula for the z-score or standard score is given below;
z-score = (x - mean)/SD
where in this case, x = ? which is the score we are looking for , z-score = -0.5 , mean score = 18 and standard deviation of the scores = 6
So, substituting these values into the z-score equation, we have;
-0.5 = (x-18)/6
x-18 = 6(-0.5)
x -18 = -3
x = -3 + 18
x = 15
39. The occupations of postsecondary teachers, registered nurses,
and medical assistants are among the ten with the largest
growth from 2000 to 2012. (See the Chapter 2 opener.) The
number of postsecondary teacher jobs will grow 173 thou-
sand more than twice the number of medical assistant jobs.
The number of registered nurse jobs will grow 22 thousand
less than three times the number of medical assistant jobs.
If the total growth of these three jobs is predicted to be 1441
thousand, find the predicted growth of each job.
Answer:
Postsecondary teacher jobs = 431 thousandMedical assistant jobs = 258 thousandNurse jobs = 752 thousandStep-by-step explanation:
Given
Postsecondary teacher jobs = tMedical assistant jobs = mNurse jobs = nThe number of postsecondary teacher jobs will grow 173 thou-
sand more than twice the number of medical assistant jobs.
t= m + 173The number of registered nurse jobs will grow 22 thousand
less than three times the number of medical assistant jobs.
n= 3m - 22If the total growth of these three jobs is predicted to be 1441
thousand, find the predicted growth of each job.
t + m + n = 1441Substituting t and n in the last equation and solving for m:
m + 173 + m + 3m - 22 = 14415m + 151 = 14415m = 1441 - 1515m = 1290m = 1290/5m = 258 thousandFinding the rest
t = m + 173 = 258 + 173 = 431 thousandn = 3m - 22 = 3*258 - 22 = 752 thousand1. How would you rewrite this equation?
10 points
(-5)-(-6)
(-5) - (+6)
(5)-(-6)
(-5) + (-6)
(-5) + (+6)
Answer:
-5 + 6
-5 - 6
5 + 6
-5 - 6
-5 + 6
PLS MARK BRAINLIEST!
Last year, the ticket sales for a commercial hot air balloon ride were $109,077. This year, the ticket sales
were $125,801.
How much more were the ticket sales this year?
What is the solution for x in 12x - 4 = 5x + 24?
Answer:
x=4
Step-by-step explanation:
Add 4 to both sides.
12x=5x+24+4
Simplify 5x+24+4 to 5x+28
Subtract 5x from both sides
12x-5x=28
Simplify 12x-5x1 to 7x
7x=28
Divide both sides by 7
28/7
simplify 28/7
x=4
Answer:
4
Step-by-step explanation:
12x - 4 = 5x + 24 convert like terms to the same side of equation
12x - 5x = 24 + 4 as you can see, when we send a terms to the other side of equation its sign changes
7x = 28 multiply both sides by 7
x = 4
If you cut a 8 inch round cake into 5 pieces, What are the measurements of each slice?
Answer:
3
Step-by-step explanation:
5pieces=8 inch
then..,
1piece = 8-5
=3
Answer:
I would think each cake slice would be 1.6 inches, because 8 divided by 5 would be 1.6 and 1.6x5 is 8.
Anyone know the answer?
Answer:
?
Step-by-step explanation:
The sum of 7 consecutive odd integers is 217. What is the smallest of the integers?
Answer:
25
Step-by-step explanation:
n+(n+2)+(n+4)+(n+6)+(n+8)+(n+10)+(n+12)=217
7n+42=217
7n=175
n=25
25+27+29+31+33+35+37=217
Answer:
25
Step-by-step explanation:
Let the smallest odd integer be n.
The integers are: n, n + 2, n + 4, n + 6, n + 8, n + 10, n + 12
Their sum is 217.
n + n + 2 + n + 4 + n + 6 + n + 8 + n + 10 + n + 12 = 217
7n + 42 = 217
7n = 175
n = 25
Answer: 25
-p + 4p = 6 prob the last one for now i think
Answer:
p = 2
Step-by-step explanation:
First, simplify:
3p = 6
Then, divide 3 on both sides:
p = 2
Hope this helps ^^
Answer:
p=2
Step-by-step explanation:
add -p to 4p and you get 3p
then divide both sides by 3 to get p alone so you get p=2 bc 6/3=2
GIVING AWAY BRAINLIEST READ THE QUESTION!
Which section of the function is constant? (4 points)
A, B, C, D
Also, the answer must be correct, and you will get brainliest!
Answer:
C
Step-by-step explanation:
A function is constant when the y value does not change when the x value does
The function is constant during section C
Answer:
so he can get brainliest it is c
Step-by-step explanation:
Two lines intersect at exactly 1 point
O Sometimes
O Always
O Never
-1.4(-5+7g)=? simplify the expression
Answer:
7 - 9.8g
Step-by-step explanation:
[tex]-1.4(-5+7g)\\\\\boxed{7-9.8g}\\\\\left \{ {{-1.4*-5=7} \atop {-1.4*7g=-9.8g}} \right.[/tex]
Hope this helps.
The simplified form of the expression will be 7-9.8g.
What is a mathematical expression?A mathematical expression is a sentence that has at least two variables or integers and one mathematical action. In mathematics, it is possible to multiply, divide, add, or subtract. The construction of an expression is as follows: Expression, number, and mathematical operator.
It is given that the expression is,-1.4(-5+7g
We have to simplify the expression.
Suppose the simplified value of the expression is x,
x= -1.4(-5+7g)
x= -1.4(-5)-1.4(7g)
x=7-9.8g
Thus the simplification of the expression will be 7-9.8g.
Learn more about the expression here:
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In an ap if a=-15,an=1 and sun=-63 then n is
Step-by-step explanation:
n=an-a
n=1--15
n=16
this might be helpful for you of it isnt I am super sorry
Estimate the value 13 to the nearest 0.05
Answer:
13.0
Step-by-step explanation:
Solve for X 1/2 x + 1/3 x = 10
Answer:
make me Brainliest PLS
x=12
Step-by-step explanation:
Let's solve your equation step-by-step.
1/2x+1/3 x=10
Hey there!☺
[tex]Answer:\boxed{x=12}[/tex]
[tex]Explanation:[/tex]
[tex]\frac{1}{2}x+\frac{1}{3}x=10[/tex]
1/2x + 1/3x = 10 Simplify both sides
(1/2x + 1/3x) = 10 Combine like terms
5/6 x = 10
(6/5) * (5/6x) = (6/5) * (10) Multiply both sides by 6/5.
x = 12
Hope this helps!
do you know the domain and range
Answer:
Domain (-1,1]
Range (-1,5]
Step-by-step explanation:
Answer:
Range: is 8
Domain 8x-13
Mai says x is a number that makes Equation A true and also a number that makes Equation B true.
• Equation A: -3 (x + 7) = 24
• Equation B: x + 7 = -8
Which statement explains why this is true?
O A) Adding 3 to both sides of Equation A gives x + 7 = -8.
O B) Applying the distributive property to Equation A gives x + 7 = -8.
© C) Subtracting 3 from both sides of Equation A gives x + 7 = -8.
OD) Dividing both sides of Equation A by-3 gives x + 7 = -8.
Next Question
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Answer:
The Answer would be OD) Dividing both sides of Equation A by-3 gives x + 7 = -8.
Step-by-step explanation:
Simplify by dividing both sides by negative 3 so -3(x+7)/-3 would be x+7 and 24/-3 would be -8,
Thus, OD) is the answer.
The statement that explains this is true would be OD) Dividing both sides of Equation A by-3 gives x + 7 = -8.
It is given that Mai says x is a number that makes Equation A true and also a number that makes Equation B true.
• Equation A: -3 (x + 7) = 24
• Equation B: x + 7 = -8
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Simplify the Equation A by dividing both sides by negative 3;
so -3(x+7)/-3 would be;
x+7 = 24/-3
Then x + 7 = -8
x= -8 + 7
x = -1
Therefore, The statement that explains this is true would be OD) Dividing both sides of Equation A by-3 gives x + 7 = -8.
Learn more about equations here;
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Solve for x. 3 − 3/4 x = 1/4 x − 7
A) −10
B) −4
C) 4
D) 10
Answer:
x = 10
Step-by-step explanation:
[tex]3 - \frac{3}{4}x = \frac{1}{4}x - 7[/tex]
Start by subtracting 3 to both sides
[tex]-\frac{3}{4}x = \frac{1}{4}x-10[/tex]
Subtract 1/4x from both sides ( -3/4 - 1/4 ) = - 1
[tex]-x = -10[/tex]
Divide both sides by a negativ 1 to get rid of the negative
∴ [tex]x = 10[/tex]
Find the unit rate of 750 yards in 25 min?
Answer:
750 yards/25 minutes = 30 yards per minute
Step-by-step explanation:
Answer : If you divide both numbers the answer will be it for 1 minute so the answer to this question is 30 yards
Answer: 30 yards per minute
Step-by-step explanation:
750/25
30
∠3 and ∠4 are supplementary angles. Given m∠3=116°, find m∠4. m∠4= °
Supplementary angles are angles that add up to 180 degrees.
m<3 + m<4 = 180 degrees
116 + m<4 = 180 degrees.
Subtract 116 from both sides.
m<4 = 64 degrees
The value of ∠4 will be 64°.
It is given that ∠3 and ∠4 are two supplementary angles.
We have to find out the value of ∠4 , if ∠3 = 116 °.
What are the supplementary angles ?
Supplementary angles are angles that add up to 180 degrees.
As per the question ;
∠3 and ∠4 are supplementary angles.
We know that sum of supplementary angles is 180° .
⇒ ∠3 + ∠4 = 180°
given ; ∠3 = 116°
⇒ 116° + ∠4 = 180°
⇒ ∠4 = 180° - 116°
⇒ ∠4 = 64°
Thus , the value of ∠4 will be 64°.
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Solve the equation 5x+3 (x+2)=22
[tex]\framebox {x=2}[/tex]
[tex]\text {Would you want to do is Simplify the equation}[/tex]
[tex]\text {5x+(3)(x)+(3)(2)=22 (Distribute)}[/tex]
[tex]\text {5x+3x+6=22}[/tex]
[tex]\text {(5x+3x)+(6)=22 (Combine Like Terms)}[/tex]
[tex]\text {8x+6=22}[/tex]
[tex]\text {Next thing you would want to do is Subtract 6}[/tex]
[tex]\text {8x+6-6=22-6}[/tex]
[tex]\text {8x=16}[/tex]
[tex]\text {The final step is to Divide 8}[/tex]
[tex]\text {8x/8=16/8}\\\text {x=2}[/tex]
[tex]\text {Hope this helps!}[/tex]
[tex]\text {-LimitedX}[/tex]
Name the plane represented by each surface of the box.
the top
Answer:
Hello the required image is missing attached below is the missing box
answer : FHGE
Step-by-step explanation:
The plane representing the top surface of the box is FHGE. there are still other planes there but do not represent the entire top surface of the Box and they are : FGE, HGE, FHG and FHE. This is because a plane can be represented by three to four Noncollinear points on a solid like a box.
The club supplies 40 new balls for each player which cost $1 each. Each player pays $300 for the lessons. The club must pay each instructor $1,000 for conducting the lessons, and there must be at least 1 instructor for every 6 players. Which amount of players and instructors meets these requirements and still gives the club a net profit?
6 players and 2 instructors
10 players and 3 instructors
13 players and 2 instructors
16 players and 3 instructors
Answer: D.) 16 players and 3 instructors
Step-by-step explanation:
Just took the quiz;)
Change the value of n some more, and observe how the lengths of the sides of the image change. Once you've settled on a value for n, record it in the table. Measure the lengths of the sides on . Do this for at least three different values of n. What is the relationship between the lengths of the sides of and ? Explain the relationship in terms of n.
Answer:
n=3.5 a=1.41 units a'=4.95 units b3 units b'10.5 units c2.24 units c'=7.83 units
Step-by-step explanation:
This answer assumes that n = 3.5. The ratio of each side length on to the corresponding side length on is equal to 3.5. For example, a′ = 3.5a. The ratio is equal to the scale factor, n.
What are the variables in the expression 4x - 2y+3
Answer are
4
X
Y
2
Answer:
the variables are x and y
Step-by-step explanation:
Use the work shown below to solve.
The solution is k =
O -7
0 -4
Identify the operation in the equation.
Use inverse operations to solve.
Subtraction property of equality
3
11
=kt
2
2
3
11
11
11 =k+ 17
2
2
• Addition property of equality
O
13
2
15
2
18/2 + (- 12) = k + 12 12
k+ (-)
Answer:
the answer is b
Step-by-step explanation:
i took the test
What is a two column proof
Answer:
a t-chart to represent you proving a statement. statements are to the left of the t-chart and reasons are to the right.
Step-by-step explanation:
this is used in geometry to prove a given statement.
Solve the inequality. Graph the solution.
|6x - 3| + 5 < 20
Can someone help please show the work for it please thanks
Solve the equation below for x: - 3/ x+2 = 7 /x+5
Answer:
X = -29/10
Step-by-step explanation:
