Answer:
512 ways
Step-by-step explanation:
Given
Selection
Faculty Member = 1
Male Student = 1
Female Student = 1
Parent = 1
School Board Member = 1
Select from:
Faculty Member = 2
Male Student = 4
Female Student = 4
Parent = 4
School Board Member = 4
Required
Determine how many ways they can be selected
There are 2 faculty members of which 1 will be selected from.
Any of these two members may be selected.
So, Selection = 2
There are 4 male students of which 1 will be selected from.
Any of these four students may be selected.
So, Selection = 4
There are 4 female students of which 1 will be selected from.
Any of these four students may be selected.
So, Selection = 4
There are 4 parents of which 1 will be selected from.
Any of these four parents may be selected.
So, Selection = 4
There are 4 school board members of which 1 will be selected from.
Any of these four members may be selected.
So, Selection = 4
Total number of selection is then calculated as thus:
[tex]Selection = 2 * 4 * 4 * 4 * 4[/tex]
[tex]Selection = 512[/tex]
Hence, there are 512 ways
is j + 8 = 72 a solution
Here are 5 lines on a coordinate grid:
Write equations for lines a,b,c,d and e
a:
b:
c:
d:
e:
Answer/Step-by-step explanation:
✔️Equation for line a:
Line a is a vertical line, hence, the slope is undefined. Equation of a vertical line is given as x = k. Where k is the x-intercept and would remain the same irrespective of the corresponding y-coordinates of all the other points on the vertical line.
In line a, the x-intercept is -4. Therefore, the equation for line a would be:
✅ x = -4
✔️Equation for line b:
Line b is also a vertical line, and would be represented as x = k.
The value of k is the point olwhere the line intercepts the x-axis.
Thus, k = 4.
Equation for line b would be:
✅ x = 4
✔️Equation for line c:
Line c is an horizontal line. Slope (m) of a horizontal line is always 0.
It can be represented in slope-intercept form, y = mx + b, where,
m = slope = 0
b = y-intercept = 4 (this is where the y-axis is intercepted by the line)
Thus, substitute m = 0, b = 4 in y = mx + b.
The equation for line c would be:
y = (0)(x) + 4
✅y = 4
✔️Equation for line d:
Slope (m) = 0
y-intercept (b) = -2
Substitute m = 0, and b = -2 in y = mx + b
Equation for line d awould be:
y = -2
✔️Equation for line e:
Slope (m) = [tex] \frac{rise}{run} = -\frac{3}{4} [/tex]
y-intercept (b) = 1
Substitute m = -¾, and b = 1 in y = mx + b
Equation for line e would be:
✅y = -¾x + 1
HELP PLEASEEE
If ABCD is a parallelogram, identify the two pairs of congruent segments.
What’s the slope of the line that passes through (-8, -5) and (-2, 5).
Karen has 10 cups of apple juice she uses 2/3 of it to make fruit punch
How many cups of apple juice did Karen put in the fruit punch? ASAP QUICKLY HELP! i will mark the brainiest whoever answers this question fast!
Answer:
3.33 or 3
Step-by-step explanation:
10 divided by 3 = 3.33 (it goes on) Or maybe you can't pour a third of a cup so maybe 3 or 4.
At a store each notebook has a cost of
inequality?
dollars. Which situation can be represented by this
5x < 3x + 2
A The cost of 5 notebooks is greater than the cost of 3 notebooks plus a $2 pen.
B The cost of 5 notebooks is less than the cost of 3 notebooks with a $2-off coupon,
C The cost of 5 notebooks is less than the cost of 3 notebooks plus a $2 pen.
D The cost of 5 notebooks is $2 greater than the price of 3 notebooks.
Answer:
The answer is C.
Step-by-step explanation:
The < sign means that it will be less than so you can remove A and D. But it's not B either because of the $2 off coupon. Off means you would be subtracting meaning it'll look like this 5x < 3x - $2. So the correct answer is C.
Hope this helps!
The inequality is transformed into a sentence will be the cost of 5 notebooks is less than the cost of 3 notebooks plus a $2 pen. Then the correct option is C.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The act of converting mathematical equations into a specified statement is known as equation-to-sentence transformation.
The inequality is given below.
5x < 3x + 2
The inequality is transformed into a sentence will be the cost of 5 notebooks is less than the cost of 3 notebooks plus a $2 pen. Then the correct option is C.
More about the inequality link is given below.
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*will give brainliest*
While solving an equation, if the variable term becomes zero, and the equation makes a true statement, then the solution is (no solution, one solution, infinite solutions).
If f(x)=3x-4, f(-2) =10 true or false
Answer:
False
Step-by-step explanation:
plug -2 in for x. 3(-3)-4=-10 and -10 isn't 10 so false.
(can I get brainliest please)
Answer:
False
Step-by-step explanation:
f(x) = 3x-4
f(-2) = ?
Substitute -2 for x in the given equation
f(-2) = 3(-2)-4
f(-2) = -6-4
f(-2) = -10
-10= 10
FALSE
Convert 3 2/7 into improper fractions
21/7
23/7
41/7
None of the above
Shane and Gemma share 35 sweetss in the ratio 1 : 4 Gemma eats 10 of her sweets and then gives Shane 1/2 of the sweets she has left. H ow many sweets does Shane have now?
Answer:
14 sweets
Step-by-step explanation:
5x+35
x=7
7*4=28
(28-10)/2=7
7+7=14
if 24 pencils cost $1.20 how much will 6 cost
Answer:
30 cents
Step-by-step explanation:
24=1.20
6=x
Algebra here to solve.
1.20=24
x=6
Divide by 4
1.20÷4=$0.3
$0.3=30 cents
Solve the given system by substitution.
Answer:
(2, 8)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
r = 4s
r = 1/2s + 7
Step 2: Solve for s
Substitution
Substitute in r: 4s = 1/2s + 7Subtract 1/2s on both sides: 7/2s = 7Divide 7/2 on both sides: s = 2Step 3: Solve for r
Define equation: r = 4sSubstitute in s: r = 4(2)Multiply: r = 8Answer:
s = 2
r = 8
Step-by-step explanation:
subsitution is were you plug in a systerm into the other problem
since they give you R = 4s you take 4s and plug it in were r is in the other equation (subsitution)
so now you have 4s = 1/2s+7
now you want to solve for s so your going to subtract 1/2s from both sides to cancle out the 1/2s --> 4s - 1/2s = 7 --> 3 and 1/2s = 7
now divide both sides by 3 1/2 to get s alone s = 7/3 and 1/2
s = 2
now we have s we take that and plug it into r = 4s
subsitute S as 2 --> r = 4(2)
r = 8
Katherine spends $1,089 each month for rent and supplies to run her hair salon. If she has 50 cilents per month,how muck should she charge per haircut to cover her monthly expenses?
Answer:$21.78
Step-by-step explanation:
Answer:
$21.78
Step-by-step explanation:
1,089 ÷ 50 = 21.78
Carissa earns $450 per week for a 40 hour work week plus $16.83 per hour for each hour of overtime after 40 hours. Write an equation that would be used to determine her weekly wages where, W, is her wages and, V, is the number of overtime hours worked.
Answer:
The equation that determines Carissa's weekly wages is W = 450 + 16.83 × V
Step-by-step explanation:
The given parameters are
The amount Carissa earns per week = $450
The amount Carissa earns for each overtime hour = $16.83
Where the given variables are;
W = Her weekly wages
V = The number of overtime hours worked
Therefore, the equation that would be used to determine her weekly wages is given as follows;
W = 450 + 16.83 × V.
What is the difference (4x2 - 12x +6) and (10+ 3x – 2x?)?
The difference of the expression is 6x² - 15x - 4.
What is Expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:
(Number/variable, Math Operator, Number/variable) is an expression.
We have the Expression as
(4x² - 12x + 6) and (10 + 3x -2x²)
Now, simplifying the expression
= 4x² - 12x +6 - (10 + 3x -2x²)
= 4x² -12x+ 6 -10 -3x + 2x²
= 6x² - 15x - 4
Thus, the simplified expression is 6x² - 15x - 4.
Learn more about Expression here:
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Question 3 (10 points)
(02.06 MC)
In the figure shown, line AB is parallel to line CD.
Part A: What is the measure of angle x? Show your work. (5 points)
Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points)
AB and CD are parallel lines, and PQ and PR are transversals which intersect AB at P and CD at Q and R. Angle APQ is labeled as 65 degrees, angle QPR is equal to x, angle PRD is equal to 120 degrees.
Answer:
X = 53
X= 115 - 62
Step-by-step explanation:
Part A: 62 + X = 115
X= 115 - 62
X = 53
Part B:
APQ + QPR = PRD
Dont copy off of me because im not for sure this is the right awnser
The measure of angle x is 55.
And to get 55 you first need to find angle BPR.
So, what you would do is 180 - 120 and that equals 60.
So, this means that angle BPR is 60 degrees.
Ok, so now to find the angle of x.
You first need to do 65 + 60 + x =180.
Since we don't know the value of x, we do 65 + 60 and that gives us 125.
So, 180 - 125 = 55.
So, X = 55.
Help me I don't know how to find the percent of discount to the nearest percent
Find the percent of discount to the nearest percent.
skateboard: regular price, $24
sale price, $15.50
help. PLEASE.
Answer:8.5
Step-by-step explanation:
Answer:
step one
find the difference between marked price and the selling price, which is 24-15.50=8.5
step two apply the formula which is, difference divided by marked or original price and then multiple by 100
eg (8.5÷24) × 100= 35.4
so now round off to the nearest percent that's 35%
can someone helpp!!! thanks
Answer:
he is going 10 mph and the equation is 1x = 10y
Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
4:3
Step-by-step explanation:
16:12=8:6=4:3
Answer:
4:3
Step-by-step explanation:
16 and 12 can both be divided by 4
16/4 = 4 12/4 = 3
so your simplified ratio is 4:3
$5,000 is invested in two different accounts yielding 2% and 2.5% interest. The interest earned on the two accounts is $120. How much money was invested at 2% interest?
$1,000
$3,000
$4,000
$5,000
Answer:
1000
Step-by-step explanation:
Hector works 10 hours per week at a part-time job. His original pay rate was $8.50 per hour, but he recently received a raise of x dollars per hour. His new total weekly pay, y, is represented by the equation y = 10(8.5 + x). If Hector earned $100 last week, what was the amount of Hector's raise per hour? A . $12.00 B .$15.00 C. $1.50 D. $3.00
Answer:
$1.50
Step-by-step explanation:
Given the total weekly pay of Hector modeled by the equation;
y = 10(8.5 + x)
We are to find the amount of Hector's raise per hour x given the total oay y = $100
Substitute y = 100 into the equation and find x as shown;
y = 10(8.5 + x)
100 = 10(8.5+x)
100/10 = 8.5 + x
10 = 8.5 + x
x = 10 - 8.5
x = 1.5
Hence the amount of Hector's raise per hour is $1.50
Please help I’ll mark brainliest!!
Step-by-step explanation:
4x-5≥7
4x≥7+5
4x≥12
x≥12/4
x≥3
•-------------------------------------------------------------->
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0 1 2 3 4 5 6 7 8 9 10
hope it helps!
b) 5z - 1
when z = 6
2
Answer:
309
Step-by-step explanation:
5z-1, z=62
5(62)-1
310 - 1
309
What two properties of a Cepheid variable star do we need to know in order to calculate the approximate distance from Earth?
(choose two)
1.) luminosity
2.) parallax
3.) color
4.) heat intensity
5.) exact size
6.) apparent magnitude
Answer:
4 and 6
Step-by-step explanation:
If the simple interest on $3000 for 7 years is 840$, then what is the interest rate?
Answer:
Step-by-step explanation:
4%
divide 5 divided by 1/4
Answer:
20
Step-by-step explanation:
Answer: 5 is made up of 5 times 1 of 5 ×4 = 20. A more mathematical way is to actually do this as a division problem of two fractions. 5 = 5 1. so divide 5 1 by 1 4. 5 1 1 4. This is a complex fraction make it simpler by multiplying both sides by the inverse of 1/4 which is 4/1.
Step-by-step explanation: Hope This Helps!!
From: Kageyama! <3 No need to thank me, it's what I do! ^^
What is equivalent to 45/75?
Answer:
3/5
Step-by-step explanation:
15 / 5 = 3; 25/5 = 5 ; the answer is 3/5 or 0.6
One interior angle of a regular octagon is
Answer:
135 degreesTo find the measure of the angles, we know that the sum of all the angles is 1080 degrees (from above)... And there are eight angles... So, the measure of the interior angle of a regular octagon is 135 degrees.The General Rule
Shape Sides Each Angle
Octagon 8 135°
Nonagon 9 140°
... ... ...
Any Polygon n (n−2) × 180° / n
Jarrod sports card holder can hold 9 cards on each page. How many pages will Jarrod need if he has 75 sport cards?
Hello! Lets take a look.
To do this problem you would have to divide.
"75/9"
So what is the answer to that?
8!
HELP ME PLS IM HELLA DUMB