The school band is in charge of a new set of uniforms made with a new logo. A local
business charges $140 to set up the logo with the design and $0.25 in materials per
logo printed. The function C(x) = 140+0.25x / x
represents the average cost per logo if x
uniforms are printed by this business.
a. What is the average cost per uniform to get the logo printed on 25 uniforms?
b. What is the average cost per uniform to get the logo printed on 100 uniforms?
C. How many uniforms should be printed to have an average cost of $1 per logo?
d. What will happen to the price as the number of uniforms printed increases?
Answer:
a. [tex]C(25) = 146.25[/tex]
b. [tex]C(100) = 165[/tex]
c. [tex]x = 187[/tex]
d. Increment in number of uniform causes an increment in price
Step-by-step explanation:
Given
[tex]C(x) = 140 + 0.25x[/tex]
Solving (a)
[tex]x = 25[/tex]
This gives:
[tex]C(x) = 140 + 0.25x[/tex]
[tex]C(25) = 140 + 0.25 * 25[/tex]
[tex]C(25) = 140 + 6.25[/tex]
[tex]C(25) = 146.25[/tex]
Solving (b):
[tex]x = 100[/tex]
This gives:
[tex]C(x) = 140 + 0.25x[/tex]
[tex]C(100) = 140 + 0.25 * 100[/tex]
[tex]C(100) = 140 + 25[/tex]
[tex]C(100) = 165[/tex]
Solving (c):
Average cost = $1 per logo
For x logos,
Average cost = $1 * x
Average cost = $x
So, we have:
[tex]C(x) = 140 + 0.25x[/tex]
[tex]x = 140 + 0.25x[/tex]
Collect Like Terms
[tex]x - 0.25x = 140[/tex]
[tex]0.75x = 140[/tex]
Solve for x
[tex]x = 140/0.75[/tex]
[tex]x = 187[/tex] ---- Approximated
Solving (d): What happens when number uniform increases.
Notice that in (a) & (b).
x increases from 25 to 100
Price also increases from $146.25 to $165.
Hence:
Increment in number of uniform causes an increment in price
The rule (x, y)→(x−1, y-3) represents a translation 1 unit ____ and 3 units ____
Answer: left, down
Hope this helps.
José correctly answered 80% of the
questions on a language arts quiz. If he
answered 16 questions correctly, how ma
questions were on the language arts quiz
Answer:
20
Step-by-step explanation:
80% needs 20% more to be 100% so we devide 16 by 4 to get the awnser for 20% witch is 4 so 16+4 is equal to 80% + 20% so 20
Answer:
20
Step-by-step explanation: 16 you need to 2 more question to get 100 so if you use your brain and imagine doing a test and you get an 80 percent and answered 16 correct go back to the test to see what you have
Is 60N Cold or hot
Answer:
It is warm.
Step-by-step explanation:
Factorise fully
-14x - 8
ease do quick, will mark brainiest!
Answer:
-2( 7x+4)
Step-by-step explanation:
-14x - 8
Factor out -2
-2*7x -2*4
-2( 7x+4)
Answer:
2(-7x -4)Step-by-step explanation:
[tex] - 14x - 8[/tex]
Write -8 as -4×2
[tex] - 14x + 2 \times 4[/tex]
Factor out common term : 2
[tex]2( - 7x - 4)[/tex]
Find the selling price of each item original plate price of gold fish at $7.65 discount 10%
Answer:
6.88 is what I think you're looking for
Step-by-step explanation:
PLEASE HELP ME What is the amount of rain fall for the 1M 6 months of the year in Kennedale Texas
Arlington Texas Rainfall Amounts
Month
January
February
March
April
May
June
Rainfall Amount
+0.5 inches
-1.26 inches
+0.32 inches
+3.71 inches
- 1.27 inches
-2.40 Inches
A 2 inches
B. -0.4 inches
C 0.8 inches
D. -1.3 inches
Loo
Answer:
.5
Step-by-step explanation:
Can y’all help plzzzzz
1.
m
In the figure below, m||n. Match the angle pairs with the
correct label for the pairs.
A. 24 and 26
a.
Corresponding Angles
HA
B. 25 and 28
b.
?
Same-Side Interior Angles
C. Z2 and 26
c.
?
Alternate Interior Angles
D. 24 and 25
d. ?
Vertical Angles
The matching is as follows:
1. <4 and <6 ------> same- side interior angle
2. <5 and <6 ------> vertical angles
3. <2 and <6 ------> corresponding angle.
4. <4 and <5 ------> alternate interior angle
What are properties of parallel lines?Properties of Parallel Lines
The pairs of corresponding angles are equal.The pairs of vertically opposite angles are equal.The pairs of alternate interior angles are equal.The pairs of alternate exterior angles are equal.Now, from the figure
1. <4 and <6 shows the relationship of same- side interior angle
2. <5 and <6 shows the relation of vertical angles
3. <2 and <6 shows the relation of corresponding angle.
4. <4 and <5 shows the relation of alternate interior angle
Learn more about parallel line here:
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In order to test for the significance of a regression model involving 5 independent variables and 123 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are
Answer: The numerator and denominator degrees of freedom (respectively) for the critical value of F are 4 and 118 .
Step-by-step explanation:
We know that , for critical value of F, degrees of freedom for numerator = k-1
and for denominator = n-k, where n= Total observations and k = number of independent variables.
Here, Numbers of independent variables(k) = 5
Total observations (n)= 123
So, Degrees of freedom for numerator = 5-1=4
Degrees of freedom for denominator =123-5= 118
Hence, the numerator and denominator degrees of freedom (respectively) for the critical value of F are 4 and 118 .
Can someone plz plz help me with the last 2 problems #5 and #6
i believe your answers would be
1/2c+7 and 2H-9
Solve the following 3x + 7 = 2x + 13 over 3
Answer:
3x+7=2x+13 over 3
3 (3x )+3 (7)=2x +13 over 3×3
9x+21=2x +13
9x- 2x=13-21
7x=-8
x=8/7
Step-by-step explanation:
Step 1:Multiply both sides by the denominator
Step 3:Group like terms
Step 5: Divide both sides to find for x
PLEASE HELP WITH THIS WILL GET EXTRA POINTS
Answer:
1.2
2.4
3.6
4.8
5.9
6.4
7.3
8.6
Step-by-step explanation:
In the figure, mZ2 = 3(x+15) and m23 = 24°. Find x.
3
5
6
8
Answer:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*(x+15)*23-(24)=0
Step by step solution :
STEP
1
:
Equation at the end of step 1
(3 • (x + 15) • 23) - 24 = 0
STEP
2
:
Equation at the end of step 2
69 • (x + 15) - 24 = 0
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
69x + 1011 = 3 • (23x + 337)
Equation at the end of step
4
:
3 • (23x + 337) = 0
STEP
5
:
Equations which are never true
5.1 Solve : 3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
5.2 Solve : 23x+337 = 0
Subtract 337 from both sides of the equation :
23x = -337
Divide both sides of the equation by 23:
x = -337/23 = -14.652
Step-by-step explanation:
5. A Ferrari gets 14 miles per gallon of gas. Gas costs $3.18 per gallon. If the Ferrari's gas
tank holds nineteen gallons, and assuming the tank was empty, how much would it cost to fill
the tank and how far could the Ferrari go before it ran out of fuel?
Answer:
44.52
Step-by-step explanation
what is th nth term of 4 1 -2 -5 -8
Answer:
-3
Step-by-step explanation:
Answer:
here:- a=4; d:- (1-4)=(-2-1)=>-3
so, nth term= a+(n-1)d
=> 4+(n-1)-3=>4-3n+3=>7-3n
Step-by-step explanation:
nth term=(7-3n)
Does anyone know this answer
Let z = 1 + 3i and w = -3 - 4i.
Use the drop down menus to complete the statements.
The sum z + w is equal to - -i
The sum w + z is equal to - 2 - i
The result supports that complex number addition is
Step-by-step explanation:
z+w= 1+3i-3-4i = -2-i
w+z=-3-4i+1+3i = -2-i
So, z+w = w+z
So, complex number addition is commutative
If z = 1 + 3i and w = -3 - 4i, then z + w = - 2 - i and w + z = - 2 - i, which supports that complex number addition is commutative.
What is commutativity property of addition?We are aware that the addition's commutative property states that altering the addends' order will not affect the sum.
How to solve it ?Here z = 1 + 3i and w = -3 - 4i.
Now, z + w = 1 + 3i - 3 - 4i = 1 - 3 + 3i - 4i = - 2 - i
and w + z = - 3 - 4i + 1 + 3i = - 3 + 1 - 4i + 3i = - 2 - i
i.e. z + w = w + z
Clearly, the addition obeys the commutative property.
Therefore we can conclude that If z = 1 + 3i and w = -3 - 4i, then z + w = - 2 - i and w + z = - 2 - i, which supports that complex number addition is commutative.
Learn more about the commutative property here -
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Simplify this radical.
Square root 84
Answer: 9.16515139
Answer 2: 2√21
A human head weighs 160 ounces. What is that weight in kilograms? Analyze the work below what is the students error?
Answer:
Well the weight is
Step-by-step explanation:
4.53592 kilos
Answer:
4.535924 kilograms
Step-by-step explanation:
1 ounce = 0.02834952 kilogram
160 * 0.02834952 = 4.535924
Please answer this correctly without making mistakes
Answer:
This is what internet says. Maybe this helps.
Ok so If and anchor descends -17.5 meters down in the ocean in 5 seconds, how much does it descend in 1 second?
HELP MEE ;-;
2/3a - 7= 1/3 Round your answer to the nearest tenth.
Answer:
a=11
Step-by-step explanation:
Answer:
a = 11
Step-by-step explanation:
1/4(-16x+8)? simplify or expand the expression
Answer:
-4x+2
Step-by-step explanation:
You need to purchase supplies for building a backyard deck. Your boss gives you the supply list and asks that you get the best deal by buying from either True Builder or Quality Supplies. You call both stores, and they provide the price information that you put into the table below. Which store provides the lowest total cost, and what is the cost without sales tax?
Answer:
a) The store which provides the lowest total costs is:
True Builders
b) The cost without sales tax is:
$407.48
Step-by-step explanation:
Data and Calculations:
Product Quantity True Builders Quality Suppliers
Price Costs Price Costs
Bricks 120 $2.20 $264.00 $2.25 $270.00
2 x 4 boards 40 ft $0.75 30.00 $0.70 28.00
1 x 6 boards 120 ft $0.60 72.00 $0.65 78.00
2 x 6 boards 30 ft $0.80 24.00 $0.80 24.00
Paint 2 gal. $15.50 31.00 $11.25 22.50
Paint Brushes 2 $7.50 15.00 $9.75 19.50
Total costs $436.00 $442.00
Imputed Sales Tax of 7% 28.52 28.92
Without Sales Tax $407.48 $413.08
Answer:
Quality Supplies 442.00
Step-by-step explanation:
If Jan is 3 years older now than Dale was 2 years ago, then Jan is how many older than Dale is right now.
A) 1 year
B) 2 years
C) 3 years
D) 5 years
Solve the formula d = rt for t.
A. t=d/r
B. t= rd
c. t= r/d
D. t= d-r
Answer:
A,t=d/r
Step-by-step explanation:
if d=rt t=?
d/r=rt/r (to get alone t we devided by r on both sides)
d/r=t
i think it is clear
&i hope it helps you
Who likes sushi?!?!?!
Answer:
I do :)
Step-by-step explanation:
Lol I usually get the crunchy roll
Last month, Carter earned $165 for his after-school job. If he was paid $8.25 per hour, how many hours did Carter work?
Answer:
20
Step-by-step explanation:
165 divided by 8.25 is 20.
Answer:
20 hrs
Step-by-step explanation:
Just divide $165 by $8.25
Hope this helps!
find the perimeter of a circle whose diameter is 12.6 cm please help and show working
Answer:
39.584034 cm
Step-by-step explanation:
Firstly find the radius, 6.3 cm. Then plug into the formula, 2πr.
I used 3.14159 as pi.
work:
2 * 3.14159 * 6.3
6.28318 * 6.3
39.584034
Chris has 12 sweets. He has 3 red, 6 blue, 1 yellow and 2 green sweets what fraction of his sweets is red
Answer:
He has had a quarter of the red one
Step-by-step explanation:
3/12 is 1/4 when simplified