Answer:
n = [tex]\frac{9v - 4f}{k}[/tex]
Step-by-step explanation:
kn + 4f = 9v
kn = 9v - 4f
[tex]\frac{kn}{k}[/tex] = [tex]\frac{9v - 4f}{k}[/tex]
n = [tex]\frac{9v - 4f}{k}[/tex]
Parkside High School was having a talent show to raise money. It was x dollars for adults and $8 for students. Stephanie's family had 4 adults and 1 student. Her family paid $48 to see the show. Write an equation for the word problem. Use the variable x and leave no spaces.
Answer:
[tex]x = 10[/tex]
Step-by-step explanation:
Given
$x per adult
$8 per student
Population:
[tex]Students = 1[/tex]
[tex]Adults = 4[/tex]
[tex]Total = \$48[/tex]
Required
Determine the equation and solve for x
The system can be analyzed as thus:
The cost for 4 adults is: 4 * x
The cost for 1 students is: 8 * 1
Total Amount is: 48
From the analysis above, the equation is:
[tex]4 * x + 8 * 1 = 48[/tex]
[tex]4 x + 8 = 48[/tex]
Subtract 8 from both sides
[tex]4 x + 8 -8= 48 - 8[/tex]
[tex]4 x= 40[/tex]
Solve for x
[tex]x = 40/4[/tex]
[tex]x = 10[/tex]
What is the first step to Solving Word Problems?
a. Check that your answer makes sense.
b. Identify what you're trying to find.
c. Solve the problem.
d. Read the problem carefully.
e. Make a plan?
Answer:
D
Step-by-step explanation:
You can't check to see if your answer makes sense if there is no answer. You can't identify what your trying to find if you don't know the question. If you just solve the problem then you will probably get a bad grade. If you make a plan you need to know what your doing first so reading the problem carefully is the right answer.
What is the ratio of the side lengths of a shape to the area of that shape?
Answer:
The area of a shape is the amount of two-dimensional space that it covers. The ratio of the perimeter to the area of a shape is simply the perimeter divided by the area. This is easily calculated.
Solve algebraically for x:
3600 + 1.02x < 2000 + 1.04x
Answer:
Let's solve your inequality step-by-step.
3600+1.02x<2000+1.04x
Step 1: Simplify both sides of the inequality.
1.02x+3600<1.04x+2000
Step 2: Subtract 1.04x from both sides.
1.02x+3600−1.04x<1.04x+2000−1.04x
−0.02x+3600<2000
Step 3: Subtract 3600 from both sides.
−0.02x+3600−3600<2000−3600
−0.02x<−1600
Step 4: Divide both sides by -0.02.
−0.02x
−0.02
<
−1600
−0.02
x>80000
Step-by-step explanation:
____ - 369 = 286?
help a sister out
Answer:
655
Step-by-step explanation:
655-369=286
I hope this is correct and have a great day
What is the solution to the equation 3x + 2(x - 9) = 8x + X- 14?
O-8
-1
O1
O8
Answer:
-1
Step-by-step explanation:
Simplify both sides: 3x + (2(x) + 2(-9)) = 8x + x -14
Add/Combine like terms: 3x+2x= (5x-18) = (9x-14)
New Equation: 5x-18 = 9x-14
add 14 to both sides: 5x-4 = 9x
Subtract 5x from both sides: -4 = 4x
Divide both sides by 4 to get: -1 = x
Answer: x = -1
A student thinks that the regular pentagon in the diagram
has 10 lines of symmetry. Explain the student's error.
Answer:
A
Step-by-step explanation:
The student must have thought that every single arrowhead is a line of symmetry, so since there are 10 arrowheads, there must be 10 lines of symmetry. This is incorrect because if you look closely at the diagram, each line has 2 arrowheads, so the student is overcounting by a factor of 2. They should have just counted the number of lines, not arrowheads. Therefore, there must be 10/2 = 5 lines of symmetry, not 10. Hope this helps!
Pls someone help me!
Answer:
When present,outliers will have an effect of the range since one of the outliers will either be highest or lowest number in a given data set and the range is found by finding the difference of the highest and lowest numbers.
Madeline has to earn at least 80 points for her science fair project. So far on the rubric she has 64 points. What is the minimum number of points that Madeline needs to earn?
F. x ≥ 96
G. 96 ≥ x
H. x ≤ 16
J. 16 ≤ x
The solution is : she needs at least 16 points.
x + 64 ≥ 80
x ≥ 16
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.
here, we have,
Given
Madeline has to earn at least 80 points for her science fair project. So far on the rubric she has 64 points.
so,
Total = 80 (at least)
accumulated = 64
Required
Express as an inequality
In inequalities, at least means ≥
So, the expression is:
Where x represents the additional points
x + 64 ≥ 80
Solve for x
x ≥ 16
Hence, she needs at least 16 points.
To learn more on inequality click:
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Mrs. Lodge is having new floor tiles installed in her kitchen. She is paying the flooring company $170.25 for the tiles and an installation fee of $3.78 per square foot. She receives a total bill of $586.05 for the job.
Which equation could be used to find the number of square feet (x) of tile Mrs. Lodge is having installed?
A.
170.25 − 3.78x = 586.05
B.
170.25 + 3.78x = 586.05
C.
170.25x + 3.78 = 586.05
D.
170.25x − 3.78 = 586.05
Answer: $170.25 + $3.78x = $586.05
Step-by-step explanation:
Please help fast I will give brainless an extra points!
Answer:
-23
Step-by-step explanation:
h(-3) = (-3)^3 + 4
= -27 + 4
= -23
Answer:
-23 hope that helps :)
Step-by-step explanation:
2x29divide by 70006=x=?
Answer:
I think it is 71.222222 repeating
Step-by-step explanation:
Hope this helped have an amazing day!
The auto repair shop took 2.5 hours to repair Victoria's car. The cost of the
parts needed was $93, and the total bill was $248. What is the repair shop's charge per
hour for labor?
Answer:D
Step-by-step explanation:
An auto repair shop charged $75/h for labor plus an additional $89 for parts.
If the shop worked for 2 h.
C = Represented the total repair cost .
Than the equation becomes
C = 75 × 2 + 89
C = 75 (2) + 89
Therefore the total cost for the repair is represented by C = 75 (2) + 89 .
Option (D) is correct .
Answer:
Step-by-step explanation:
the charge is 77 dollars per hour of labor
PLEEASEEEE HELP ASAP WILL GIVE BRAINLIST TO WHO EVER IS FIRST
Jake has a balance of -$142 in his bank account. After he deposited $550 into the account, what was Jake's new balance
A.$0
B.$358
C.$642
D.$368
Need help on the first one! Will mark brainliest :)
Answer:
y = 2x + 10
Step-by-step explanation:
The rate is 2 and the y coordinate starts at 10. You use the y = mx + b formula
I’m helping my brother with his homework and I’m confused. Would this be split into 1/2 for each pizza or 1/4 like shown in the photo?
Answer:
1/2
Step-by-step explanation:
1/2 because if you divide 2 pizzas into 4 then you can get 4 1/2s.
if you slice the pizza into fourths then each person will get 2/4rts and which is the same thing as 1/2 only 1/2 is simplified.
13. Write an equation in slope-intercept form for the line that passes through the point (-3,5) and is parallel to the equation y = -1/2x + 4
Factor the following by completing the square w^4-22w^2+9
Answer:
(w² - 4w - 3) (w² + 4w - 3)
Step-by-step explanation:
w² + 4w³ - 3w² -4w³ - 16w² + 12w-3w² - 12w + 9
a regular square pyramid is 3m height and the perimeter of its base is 16m find the volume of the prism if its height is 10cm.
Answer:
240
Step-by-step explanation:
Answer:
16 m^3
Step-by-step explanation:
Question:
"a regular square pyramid is 3m height and the perimeter of its base is 16m find the volume of the pyramid"
volume of pyramid = (1/3) * (area of base) * height
The perimeter of the base is 16 m, and the base is a square.
perimeter of square = 4 * side
4 * side = 16 m
side = 4 m
area of square = (side)^2
area of base = (4 m)^2 = 16 m^2
volume of pyramid = (1/3) * (area of base) * height
volume = (1/3) * (16 m^2) * 3 m
volume = 16 m^2
A coat has a regular price of $38 it is marked down 25% what is the sales price of the coat
28.5
b
e
c
a
u
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e
y
e
s
s
i
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MULTIPLE CHOICE QUESTION
Evaluate f(x) = 3x - 5, whenx = -1
•f(-1)=8
• f(-1) = -8
•f(-1) = 2
•f(-1) = -2
HELP PLEASE
find the area of the polygon with the given vertices P(1,1), Q(-2,1), R(-1,-4)
Answer:
Area = 7.5
Step-by-step explanation:
The area of the triangle bounded by vertices P(1,1), Q(-2,1), and R(-1,-4) will be 7.5 unit square.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.
Given the triangle with vertices P(1,1), Q(-2,1), R(-1,-4)
Length between two coordinates (x₁,y₁) and (x₂,y₂) is given by
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
By using this formula
PQ = 3 , QR = 5.099 and PR = 5.385
Now,
The area of a triangle with all three sides is given by
A = [tex]\sqrt{S(S - A)(S - B)(S - C)}[/tex] where A,B and c are sides and s = (A + B + C)/2
So,
S = (3 + 5.099 + 5.385)/2 = 6.742
Now,
A = [tex]\sqrt{6.742(6.742- 3)(6.742 - 5.099)(6.742 - 5.385)}[/tex]
A = 7.499 ≈ 7.5
Hence "The area of the triangle bounded by vertices P(1,1), Q(-2,1), and R(-1,-4) will be 7.5 unit square".
For more about triangles,
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In circle D, ∠EDH ≅ ∠EDG.
Circle D is shown. Line segment F H is a diameter. Line segments D E and D G are radii. Lines are drawn from point E to point G and from point E to point H to form secants. The length of E J is 4 and the length of E H is 9. The measure of arc F E is 57 degrees and the measure of arc F G is 66 degrees.
What is the length of JG?
4 units
5 units
6 units
9 units
Answer:
5 units
Step-by-step explanation:
The computation of the Length of DG is as follows;
Given that
∠EDH ≅ ∠EDG,
EH = 9,
EJ = 4.
Based on the above information, as we can see that the two sides i.e. corresponding are congruent
EH = EG (CPCTC)
EG = 9.........(i)
Now
EG = EJ + JG
EG = 4 + JG ........(ii)
Now after solving this
JG = 5 units
Hence, the second option is correct
Answer:
5
Step-by-step explanation:
i got it right
rocky thinks of an odd integer adds the next two consecutive integers which of these could be the sum
a) 44560
b)44561
c)44562
d)44563
Step-by-step explanation:
First, we have to prove that the sum of 3 consecutive integers is a multiple of 3.
Let x be the smallest of the 3 consecutive integers. We have (x + 1) and (x + 2) as our other consecutive integers.
Notice that x + (x + 1) + (x + 2) = 3x + 3 = 3(x + 1), which is a multiple of 3.
Hence we have proven our point. Back to the question:
The possible sum has to be a multiple of 3. Searching the options, only 44562 is a multiple of 3. (44562 / 3 = 14854) Hence 44562 is the answer. (C)
A farmer buys several gallons.g. of
fertilizer for $8.25 each and an
irrigation unit for $65. He spends a
total of $683.75. Determine the
number of gallons of fertilizer the
farmer bought
How will the solution of the system y > 2x + Two-thirds and y 2x + One-third?
Sample Response: There is no solution to the system in its original form. There are no points in common. If the signs are reversed, the system has an intersection with an infinite number of solutions.
What did you include in your response? Check all that apply.
The shaded area would reverse on both inequalities.
The graphs do not overlap until the signs are reversed.
There are an infinite number of solutions in the system once the signs are reversed.
There are no solutions before they are reversed.
Answer:
all of them.
Step-by-step explanation:
Hope this helps!
<3
~nxmbus
6x + 3y = 33
4x + y = 15
Please help and give details!
Answer:
D
Step-by-step explanation:
Use the unit circle to find the point (x,y) that corresponds to the real number t
Step-by-step explanation:
I hope its help you
At an intersection, the red light of route A is red for 60 seconds and the other two lights are red for 45 and 75 seconds, respectively. What is the probability that a car traveling from route A will encounter a red light at an intersection?
Answer:
1/3
Step-by-step explanation:
The probability of an event E in a sample space S is P(E) = desired outcome/total number of possible outcomes.
The probability of encountering a red light at the intersection P(red light on) = time it takes red light to stay on/total time all the lights stay on, where desired outcome = time it takes red light to stay on on route A and total number of possible outcomes = total time all the lights stay on.
Since all the other two lights have to come on after the red light goes off and before the red light comes on again, and the red light has to be on to encounter it at an intersection.
So, P(red light on) = 60 s/(60 s+ 45 s+ 75 s)
= 60 s/180 s
= 1/3