Answer:
Total variable costs for the summer at each price:
a. = $10,185
b. = $5,820
c. = $1,455
Step-by-step explanation:
a. 35 lawns per week x 12 weeks x $24.25 variable cost
= 35 * 12 * $24.25
= $10,185
b. 20 lawns per week x 12 weeks x $24.25 variable cost
= 20 * 12 * $24.25
= $5,820
c. 5 lawns per week x 12 weeks x $24.25 variable cost
= 5 * 12 * $24.25
= $1,455
d. The variable cost, as can be seen from above, changes based on the volume of activity or production. The number of lawns influenced the cost, since the other indexes are the same in each case.
Write the equation of the line fully simplified slope-intercept from.
Answer:
y = 4/3x - 7
Step-by-step explanation:
Monica has $20. She needs to buy a gallon of milk that costs $2.50. She also wants to buy yogurt, which costs $1.20 a cup. What is the greatest number of cups of yogurt Monica can buy?
Use the inequality 1.20x + 2.5 ≤ 20 to solve the problem.
Greatest number of cups of yogurt Monica can buy is equals to 14cups.
What is Linear inequality?
" Linear inequality is the algebraic mathematical expression which compares two value with the sign of inequality, <, > , ≤, ≥ ."
According to the question,
Given,
Total amount with Monica = $20
Cost of a gallon on milk = $2.50
Cost of 1cup of yogurt = $1.20
Given linear inequality
1.20x + 2.5 ≤ 20
x represents the number of cups of yogurt
Solve linear inequality to get the value of x we have,
1.20x+2.5 -2.5 ≤ 20-2.5
⇒1.20x ≤ 17.5
⇒x ≤ 17.5 / 1.20
⇒x ≤ 14.58
14 ≤ 14.58 ≤ 15
Therefore, 14 of cups of yogurt Monica can buy.
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PLEASE HELP A cylinder with radius 6 feet and height 6 feet has its radius doubled. How many times greater is the volume of the larger cylinder than the smaller cylinder? How many times greater is the volume of the larger cylinder than the smaller cylinder?
Answer:
16 Times Greater
Step-by-step explanation:
Smaller cylinder:
radius = 6 inches
height = 8 inches
area = (pi)r^2h
area = (3.14)6^2(8)
radius = 24 inches
height = 8 inches
area = (pi)r^2h
area = (3.14)24^2(8)
.
[(3.14)6^2(8)] / [(3.14)24^2(8)]
[6^2(8)] / [24^2(8)]
[6^2] / [24^2]
[36] / [576]
16 times greater
Answer:
Step-by-step explanation:
Smaller cylinder:
h = 6 ft
r = 6 ft
Volume of smaller cylinder = πr²h
= π * 6 * 6 * 6 cubic ft
Bigger cylinder:
r = 6 * 2 = 12 ft
h = 6 ft
Volume of bigger cylinder = π * 12 * 12 * 6 cubic ft
Volume of bigger cylinder = π * 12 * 12 * 6
Volume of smaller cylinder π * 6 * 6 * 6
= [tex]\frac{2 * 2}{1*1}\\[/tex]
= 4 : 1
The volume of greater cylinder is 4 times than the smaller cylinder.
what is 75^58*^%23(718&^01232) *68726 function sof the equlatric erguim of the property
Answer:
2
Step-by-step explanation:
Question 8
Solve the equation.
1/3x + 205
Your answer:
A.-9
B.13
C.9
Answer: none of thoses
Step-by-step explanation:
State the name of the property illustrated. -6(4 + 6) = -24 + (-36)
Answer:
It's distributive property.
What is the nth term of this number sequence 25, 20, 15, 10, 5
Please answer it
Answer:
[tex]a_{n}[/tex] = 30 - 5n
Step-by-step explanation:
There is a common difference between consecutive terms, that is
20 - 25 = 15 - 20 = 15 - 20 = 10 - 15 = 5 - 10 = - 5
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 25 and d = - 5, thus
[tex]a_{n}[/tex] = 25 - 5(n - 1)
= 25 - 5n + 5
= 30 - 5n
Seven oxide thickness measurements of wafers are studied to assess quality in a semiconductor manufacturing process. The data (in angstroms) are: 1264, 1288, 1272, 1304, 1280, 1301, and 1270. Calculate (a) the sample average and (b) sample standard deviation. Round both answers to 1 decimal places.
Answer:
a. Mean = 1,282.7 Angstroms
b. Standard deviation = 15.5
Step-by-step explanation:
a. Firstly, we are told to calculate the sample average. This is same as the mean;
Mathematically that would be;
The value of the sum of terms/ The number of terms.
= (1264 + 1288 + 1272 + 1304 + 1280 + 1301 + 1270)/7 = 8979/7 = 1282.7
b. Standard deviation
Mathematically, this is the square root of variance
= √{(x - mean)^2/N-1}
Please check attachment for the breakdown of this
An assembly line has two inspectors . The probability that the first inspector will miss a defective item is 0.09. If the defective item passes the first inspector, the probability that the second inspector will miss it is 0.08. What’s the probability that a defective item will pass by both inspectors?
Answer:
0.072
Step-by-step explanation:
0.09 × 0.08
Here's the diagram/ explanation
Help. Your backyard is 10 feet longer than it is wide. Its area is 8624 square feet. Its width is Solve in quadratic equation.
Would you say 88in by 98in is correct?
zales bought a tea set for $1400. zales wants to mark up the set 55% of the selling price. the selling price of the tea set should be?
Answer:
The selling price of the tea set should be: The selling price of the tea set is $2170
$1400 x . 55 = $770.
Rearrange the formula C = 5 9 (F − 32) for F.
Answer:
F = 32 + (C/59)
Step-by-step explanation:
C = 59(F - 32)
C/59 = F - 32
(C/59) + 32 = F
Hence,
F = 32 + (C/59)
Between 9 P.M. and 6:54 A.M., the water level in a swimming pool decreased by in. Assuming that the water level decreased at a constant rate, how
50
much did the water level drop each hour?
I think the question is incorrect please repeat again.....
What is the Domain and range of (3,4)(5,7)(-3,8)(2,0)(1,3)
The domain is all x-values.
The range is all y-values.
Domain: 3, 5, -3, 2, 1
Range: 4, 7, 8, 0, 3
Best of Luck!
The tree in Juan's backyard is 7.7 m high. How high is it in centimeters?
Answer:
770 cm :)
Step-by-step explanation:
1m is 100cm so just multiply 7.7 by 100
The tree in Juan's backyard is 7.7 m high.
To Find:How high is it in cm.
Conversion:1 m = 100 cm
7 m = 7 × 100 = 700 cm
Solution:7.7 m = ( 700 + 70 ) cm = 770 cm
Answer:770 cm
Therefore, it is 770 cm high.
Describe fully the single transformation that maps triangle A on triangle B
Answer:
It first starts with a dilation with a scale factor of 1/2. Than once the dilation is completed, a translation of 3 units to the right and 1.5 units down.
Step-by-step explanation:
What property is 6m*1=6m
The property is Multiplicative identity,
what is Multiplicative identity?An identity element (such as 1 in the group of rational numbers without 0) that in a given mathematical system leaves unchanged any element by which it is multiplied.
Given:
6m*1=6m
As, It states that if a number is multiplied by 1 the resultant will be the number itself. “1” is the multiplicative identity of a number. It is represented as p × 1 = p = 1 × p. Let us understand the relation with help of a real number example.
Here let say p = -3. Putting the value of p in p × 1 = p = 1 × p, we get
−3 × 1 = −3.
So, if 6m is multiplied by 1 it gives 6m using multiplicative identity.
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Mr.Salazar assigns the same Number of homework Question each
Answer:
ur question isnt complete... ?
Step-by-step explanation:
Which of the following fractions have the same value as 16+(-3)? Check all that apply.
16
-3
I FIF
-16
3
16
3
16
3
16
Answer:
I think 1st option is ✔️ correct
Answer:
ACE
Step-by-step explanation:
If anyone is good in Pythagoras theoram please help me
Answer:
a^2+B^2=c^2
Step-by-step explanation:
Step-by-step explanation:
(Hyp)² = (Base)² + (Height)²
C² = a² + b²
C= √a²+b²
This is the formula to find Hypotenuse of a right angled triangle
How do you determine if a function notation is a solution ???? Please give an example
Answer:
Identify the input values.
Identify the output values.
If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function.
Step-by-step explanation:
Answer:
Identify the input values. Identify the output values. If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function.
Example:
Given f(x) = x2 + 3x – 1, find
a) f(1)
b) f(–1)
c) f(a)
d) f(x – 1)
Solution:
a) f(1) = (1)2 + 3(1) – 1 = 3
b) f(–1) = (–1)2 + 3(–1) – 1 = –3
c) f(a) = a2 + 3a – 1
d) f(x – 1) = (x – 1)2 + 3(x – 1) – 1
= x2 – 2x + 1 + 3x – 3 – 1 = x2 + x –3
1+1? i dont now what the answer is.
Answer:
its 2
Step-by-step explanation:
can somebody help me !
Answer:
[tex] \angle 1[/tex]
Step-by-step explanation:
[tex] \angle 1[/tex] is not congruent to [tex] \angle 6[/tex]
Plz help me I don't understand the answer!!!!!!!!!!!
Please help would be very very appreciated
Answer:
115
Step-by-step explanation:
I hoped I help friend◇
7x + 3y = 9 (for x)
solve it for x
Answer:
x = 9/7 - (3 y)/7
Step-by-step explanation:
Solve for x:
3 y + 7 x = 9
Hint: | Isolate terms with x to the left-side.
Subtract 3 y from both sides:
7 x = 9 - 3 y
Hint: | Solve for x.
Divide both sides by 7:
Answer: x = 9/7 - (3 y)/7
Answer:
x = ( 9 - 3y ) / 7
Step-by-step explanation:
To solve this equation for x, we will simply isolate the x.
7x + 3y = 9
7x = 9 - 3y
x = ( 9 - 3y ) / 7
Cheers.
otis tutors math students on sunday afternoons. he charges $35 for each of the first 10 students. he changed $40 for each additional student the maximum number of students he will accept is 20.
answer each question below:
a. what did otis make if 8 students came on the first sunday?
b. what did otis made if 17 students came of the second sunday
c. if a is the amount that otis makes from S students that he tutors, write A as a piece wise function of S
Find the h. c. f of 24, 30, 36
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \text{6}}}}}[/tex]
Step-by-step explanation:
[tex] \bigstar{ \text{ \: H.C.F \: of \: 24, 30, 36}}[/tex]
[tex] \text{Step \: 1 : First \: of \: all \: find \: the \: prime \: factor \: of \: each \: number}[/tex]
[tex] \mapsto{ \sf{24 = \: 2 \: ∗ \: 2 \: ∗ \: 2 \: ∗ \: 3}}[/tex]
[tex] \mapsto{ \sf{30 = 2 \: ∗ \: 3 \: ∗ \: 5}}[/tex]
[tex] \mapsto{ \sf{36 = 2 \: ∗ \: 2 \: ∗ \: 3 \: ∗ \: 3}}[/tex]
[tex] \text{Step \: 2 : Take \: out \: the \: common \: prime \: factors \: of \: given \: number}[/tex]
[tex] \mapsto{ \sf{Common \: prime \: factors = 2 \: and \: 3 \: }}[/tex]
[tex] \text{Step \: 3 : \: Multiply \: those \: all \: common \: prime \: factors \: and \: the \: number \: which \: is \: obtained \: is \: h.c.f}[/tex]
[tex] \mapsto{ \sf{ \: H.C.F = Common \: prime \: factors}}[/tex]
[tex] \mapsto{ \sf{H.C.F = 2 \: ∗ \: 3}}[/tex]
[tex] \mapsto{ \boxed{\sf{H.C.F = 6}}}[/tex]
[tex] \text{∴ \: the \: H.C.F \: of \: 24 \: , \: 30 \: and \: 36 \: is \: 6. }[/tex]
[tex] \sf{Hope \: I \: helped !!}[/tex]
[tex] \sf{Best \: regards !!}[/tex]
~[tex] \text{ TheAnimeGirl}[/tex]
If elephant grass grows 2 3/4 inches a day, how many inches will it grow in 6 days?
Solve the following (x+y+z)(x-z)^2
Hey there!
ANSWER: [tex]x^2y-2xyz+yz^2+x^3-x^2z-xz^2+z^3[/tex]EXPLANATION:[tex](x+y+z)(x-z)^2[/tex]
Simplify.
[tex]x^2y-2xyz+yz^2+x^3-x^2z-xz^2+z^3(ANSWER)[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
Step-by-step explanation:
x³+yx²+zx²-2x²z-2xzy-2xz²+x²z-z²y+z³