Answers
360 - 130 = 230
Measure of CAR = 230/2.
CAR = 115
Related Questions
Car Sales
Name Sales
Patrick 8
Jeffrey 12
Robin 7
Sally 15
Manuel 4
Ming 10
Jesse 12
Mark 17
Jenna 16
The owner of a car dealership keeps track of the monthly car sales for the salespeople at the dealership. What is the range for the number of cars sold?
Answers
Answer:
The answer is 13- cedric Rhen
Step-by-step explanation:
The range for the number of cars sold at the dealership is 13 cars, calculated by subtracting the lowest sales number (4) from the highest (17).
The range for the number of cars sold by the salespeople at the dealership can be calculated by finding the difference between the maximum and minimum sales numbers. First, we identify the highest and lowest sales figures from the list provided. The highest number of sales is 17 (by Mark) and the lowest is 4 (by Manuel).
Now, subtract the minimum from the maximum to get the range: 17 (max) - 4 (min) = 13.
Therefore, the range for the number of cars sold is 13 cars.
Please help me out please
Answers
1) x^2 = y^2 + 16^2
2) z^2 = y^2 + 4^2
3) (16 + 4)^2 = z^2 + x^2
Simplifying the above we get:
1) x^2 = y^2 + 256
2) z^2 = y^2 + 16
3) 400 = z^2 + x^2
We want to solve for z. There are several ways but an easy one is with substitution. Start by rearranging 2) and 3) like this:
2’) y^2 = z^2 - 16
3’) x^2 = 400 - z^2
Now we have expressed x and y in terms of z. Plug these values into the unused equation, 1), to solve for z:
1’) 400 - z^2 = z^2 - 16 + 256
2z^2 = 160
z^2 = 80
z = √80
z = √(16)(5)
z = 4√5
Please help me with this
Answers
Answer:
h = 40 cm
Step-by-step explanation:
The volume (V) of a cylinder is calculated using the formula
V = πr²h ( r is the radius and h the height )
here V = 3240π, thus
π × 9² h = 3240π
81πh = 3240π ( divide both sides by 81π )
h = [tex]\frac{3240\pi }{81\pi }[/tex] = [tex]\frac{3240}{81}[/tex] = 40
If the company has set a goal of producing 20 radios for a cost of 2,500, which statement is true?
(1.Plant A is producing at a cost that is farthest from the goal
(2. Plant C is producing at a cost greater than the goal.
(3. Plant B is at the goal
Answers
Answer: 2) Plant C is producing at a cost greater than the goal.
Explains which plant is achieving the goal set by the company regarding radio production costs.
Correct Statement: Plant B is at the goal of producing 20 radios for a cost of $2,500.
Explanation:
Plant A being farthest from the goal is inaccurate since the question mentions Plant B is producing at the goal cost.
Plant C producing at a cost greater than the goal is incorrect as Plant B is already reaching the goal cost.
Plant B is indeed at the goal, as stated in the question, producing 20 radios for a cost of $2,500.
HELP PLEASE
The ceiling of Katie’s living room is a square that is 12 ft long on each side. To decorate for a party, she plans to hang crepe paper around the perimeter of the ceiling and then from each corner to the opposite corner. Katie can buy rolls that each contain 10 ft of crepe paper. What is the minimum number of rolls she should buy? Show work.
Answers
Answer:
The minimum number of rolls to buy is 9
Step-by-step explanation:
step 1
Find the perimeter of the ceiling of Katie’s living room
The perimeter of a square is equal to
[tex]P=4b[/tex]
where
b is the length side of the square
we have
[tex]b=12\ ft[/tex]
so
[tex]P=4(12)=48\ ft[/tex]
step 2
Find the length side of the diagonals of the ceiling
Applying Pythagoras theorem
[tex]d=\sqrt{12^{2} +12^{2}}\\ \\d=\sqrt{288}=16.97\ ft[/tex]
step 3
Find the total crepe paper needed
Sum the perimeter plus two times the length side of the diagonal
[tex]48\ ft+2*(16.97\ ft)=81.94\ ft[/tex]
step 4
Find the number of rolls needed
we know that
Each roll contain 10 ft of crepe paper
so
[tex]81.94/10=8.19\ rolls[/tex]
Round up
[tex]8.19=9\ rolls[/tex]
The minimum number of rolls to buy is 9
Final answer:
Katie needs to purchase 9 rolls of crepe paper to decorate her living room ceiling. The calculation includes both the perimeter and the diagonals of her square ceiling.
Explanation:
The ceiling of Katie’s living room is a square that is 12 ft long on each side. To calculate the amount of crepe paper she needs for the perimeter, we multiply the length of one side by 4, since a square has four equal sides: 12 ft × 4 = 48 ft. To calculate the length needed to hang crepe paper from corner to corner, we use the Pythagorean theorem for a square, which says the diagonal is equal to the side length multiplied by the square root of 2: 12 ft × √2 ≈ 12 ft × 1.414 ≈ 16.97 ft. Since there are two diagonals, we need twice this amount: 16.97 ft × 2 ≈ 33.94 ft. Adding the perimeter and diagonals, we get a total of 48 ft + 33.94 ft = 81.94 ft.
Each roll of crepe paper contains 10 ft. To find out the number of rolls needed, we divide the total footage by 10 ft per roll: 81.94 ft ÷ 10 ft/roll ≈ 8.194 rolls. Since Katie can't buy a fraction of a roll, she will need to purchase 9 rolls to have enough crepe paper to decorate her living room ceiling.
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
The graph of the function y = x2 is shown. How will the graph change if the equation is changed to y = 2x^2?
Answers
Answer:
The parabola will become narrower.
Step-by-step explanation:
Because of the coefficient 2, every value of x² is doubled, which means higher value on the same X coordinate, compared to the y = x² function.
Answer: B) The parabola will become narrower
Step-by-step explanation:
The vertex form of a quadratic equation is: y = a (x - h)² + k where
"a" is the vertical stretch (shrink/compression if |a| < 1)(h, k) is the vertexIn the given equation of y = 2x², the a-value has increased so it is stretched. When the graph stretches, the sides will get closer together thus the parabola will become narrower.
The Palm Springs tramway takes passengers from the hot valley and brings them 5800 feet up into the cool San Jacinto mountains. The 15 minute ride costs about $20. Suppose the mountain terminal is 11520 feet West of the valley terminal. Use the Pythagorean Theorem to find the length of the cable that connects the two terminals
.Length of cable = _____ feet
Round your answer to 2 decimal places
Answers
Answer:
12,897.69 ft
Step-by-step explanation:
The cable is assumed to be the hypotenuse of a right triangle with side lengths 11520 ft and 5800 ft. Then the length of it (in feet) is ...
cable length = √(11520² +5800²) = √166,350,400 ≈ 12,897.69 . . . feet
_____
Comment on the question
A cable that long will have considerable sag, so even an answer rounded to the nearest 10 ft is probably in error by quite a bit.
Jane had several stamps. She gave 10 of them to her friend. Afterwards, Jane's mom bought her twice as many stamps as she had in the beginning. How many stamps did Jane have in the beginning if she now has a total of 50 stamps?
Answers
Answer:
Jane had 20 stamps in the beginning
Step-by-step explanation:
* Lets study the information in the problem
- Jane has unknown numbers of stamps
- She gave 10 of them to her friend
- Her mom give her twice as many stamps as she had in the beginning
* To solve the problem let the unknown numbers of stamps = x
∵ Jane had at the beginning x stamps
- She gave her friend 10 of them
∴ The rest with her = x - 10 stamps
- Her mom gave her twice as many stamps as she had in the beginning
∵ She had at the beginning x stamps
∴ Her mom gave her 2 × x = 2x
∴ The number of stamps with her now = x - 10 + 2x stamps
- She has now 50 stamps
∴ x - 10 + 2x = 50 ⇒ add the like term
∴ 3x - 10 = 50 ⇒ add 10 to both sides
∴ 3x = 60 ⇒ divide both sides by 3
∴ x = 20
∴ Jane had 20 stamps in the beginning
If a || b and _____, then a || c.
b perpendicular c
b || c
a perpendicular c
b perpendicular a
Answers
The answer is:
The correct option, is the second option:
b || c ( b and c are parallel).
Why?To solve the problem, let's remember the following relationship:
If:
[tex]a=b[/tex]
and
[tex]b=c[/tex]
Then:
[tex]a=c[/tex]
So, from the statement we know that a and b are parallel (a || b), so, if a and c are parallel ( a || c) it means that b and c are parallel ( b || c).
Hence, the correct option is:
The second option, b || c ( b and c are parallel)
Have a nice day!
A piggy bank was filled during a calendar year, by a coin placed in it every day except some Sundays. If the quantity of coins in the piggy bank is distributed evenly among 6 children, two coins remain. If this quantity is distributed evenly among 7 children, four coins remain. If the quantity of coins in the piggy bank is distributed evenly among 8 children, how many coins will remain?
Answers
Answer:
probably 6////////////
Answer:
The answer is 6
Step-by-step explanation:
In a year there is 365 days.
From the first condition, 6x + 2 = to a unknown number of coins
From the second condition, 7x + 4 = to the same number of unknown coins.
The number which satisfies this given condition is 326 coins.
If we divide this number by 8 to share it among 8 students =
326 ÷ 8 = 40 coins/ student and 6 coins remaining. Therefore, the answer is
6 Coins
Find the first six terms of the sequence.
a1 = -7, an = 2 • an-1
Answers
Answer:
The first 6 terms are -7,-14,-28,-56,-112,-224
Step-by-step explanation:
The given sequence is defined recursively by:
[tex]a_1=-7[/tex] and [tex]a_n=2(a_{n-1})[/tex]
When n=2
[tex]a_2=2(a_{2-1})[/tex]
[tex]a_2=2(a_{1})[/tex]
[tex]a_2=2(-7)=-14[/tex]
When n=3
[tex]a_3=2(a_{3-1})[/tex]
[tex]a_3=2(a_{2})[/tex]
[tex]a_3=2(-14)=-28[/tex]
When n=4
[tex]a_4=2(a_{4-1})[/tex]
[tex]a_4=2(a_{3})[/tex]
[tex]a_4=2(-28)=-56[/tex]
When n=5
[tex]a_5=2(a_{5-1})[/tex]
[tex]a_5=2(a_{4})[/tex]
[tex]a_5=2(-56)=-112[/tex]
When n=6
[tex]a_6=2(a_{6-1})[/tex]
[tex]a_6=2(a_{5})[/tex]
[tex]a_6=2(-112)=-224[/tex]
The first 6 terms are -7,-14,-28,-56,-112,-224
Mike and alice recycled 147 bottles altogether. Mike recycled 6 times as many bottles as Alice. How many bottles did alive recycle
Answers
total=147
a:m
1:6 =7
147÷7=21
21×1=21
alice recycled 21 bottles
Answer:
21
Step-by-step explanation:
We have an equation in the first sentence we are given. Mike and Alice together recycled 147 bottles, so in equation form that looks like this:
M + A = 147.
That alone doesn't do us much good because we have 2 unknowns. The next sentence gives us Mike's number of bottles based on Alice's. If the number Mike recycles is 6 times as many as Alice, replace the word "is" with an "=" and "6 times as many as Alice" with 6A to get:
M = 6A
Now we can go back to the first equation and replace M with 6A:
6A + A = 147
Now we only have A's. That's a good thing. Solve for A:
7A = 147
A = 21
Find the hypotenuse of each isosceles right triangle when the legs are of the given measure.
Given = [tex]3\sqrt{2}[/tex]
________ inches.
Answers
[tex]\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{3\sqrt{2}}\\ b=\stackrel{opposite}{3\sqrt{2}}\\ \end{cases} \\\\\\ c=\sqrt{(3\sqrt{2})^2+(3\sqrt{2})^2}\implies c=\sqrt{3^2\sqrt{2^2}+3^2\sqrt{2^2}}\implies c=\sqrt{18+18} \\\\\\ c=\sqrt{36}\implies c=6[/tex]
Please Help!!!!!! Using the rest of my points for this!
Answers
It’s the first one on the top left corner
Answer:
A (top left)
Step-by-step explanation:
24 / 16 = 1.5
42/28 = 1.5
So SF =
Answer is: A (top left)
Use the Table below to find the Average Rate of Change from x = -2 to x = 1. Show your work for full credit.
x f(x)
-3 0
-2 3
-1 4
0 3
1 0
Answers
The difference between the x's -2 and 1 = 3
The difference between the corresponding f(x) values is 3 -0 = 3
The average rate of change is f(x) / x = 3/3 = 1
Maxim and Salma were asked to find an explicit formula for the sequence 54,63,72,81,... Maxim said the formula is f(n)=54+9n Salma said the formula is f(n)=9+54nf(n)=9+54n. Which one of them is right?
Answers
ANSWER
The explicit rule is
[tex]f(n) = 45+9n [/tex]
EXPLANATION
The given sequence is :
54,63,72,81,...
The first term of this sequence is
[tex]a = 54[/tex]
The common difference is
[tex]d =63 - 54 = 9[/tex]
The explicit rule is given by:
[tex]f(n) = a + d(n - 1)[/tex][tex]f(n) = 54+9(n -1 )[/tex]
We expand to get:
[tex]f(n) = 54+9n -9[/tex]
[tex]f(n) = 45+9n [/tex]
None of them is correct .
Answer:Neither Maxim nor Salma
Step-by-step explanation:
i just answered ed the question
If forester Kim walks 20 paces in a chain, and she walks 81 paces between points c and d, how far apart, in feet, are points c and d?
Answers
Answer:202.5 ft
Step-by-step explanation: 1 pace is 2.5 feet so 81 paces are 202.5 feet
A building manager installs sensors to see how often people turn off the lights when they leave the room. After a month the manager has a sample size of 625, a sample mean of 47%, and a sample standard deviation of 5%. What is the confidence level for a confidence interval of 46.8% to 47.2%?
A. 85%
B. 99.7%
C. 95%
D. 68%
Answers
Answer:
D. 68%
Step-by-step explanation:
The following statistics are given;
sample mean = 47%
s = 5% ; the sample standard deviation
n = 625 ; the sample size
The confidence interval for a population mean is given as;
sample mean ± z-score*[tex]\frac{s}{\sqrt{n} }[/tex]
Substituting the above values we have;
47 ± z-score*[tex]\frac{5}{\sqrt{625} }[/tex]
47 ± z-score*0.2
The confidence interval has been given as;
lower limit = 46.8%
upper limit = 47.2%
We can use any of these two values with the above expression to solve for the z-score. Using the lower limit we have the following equation;
47 - z-score*0.2 = 46.8
-z-score*0.2 = 46.8 - 47
-z-score*0.2 = -0.2
z-score = 1
The area of the standard normal curve between -1 and +1 will be the confidence level for the given confidence interval.
Pr( -1<Z<1 ) = 0.68 = 68%
From the Empirical rule
Answer:D. 68
Step-by-step explanation:
Help with this question, please!!
Answers
Answer:
72°
Step-by-step explanation:
You correctly found x, but the measure of the angle is ...
4x-22 = 4·23.5-22 = 72°
___
or (6x-69)° = (141-69)° = 72°
A customer wants you to enlarge a photo to 2 3/ 4 its current height. The photo's current height is 3 1/4 inches. What should its enlarged height be, in inches?
Answers
I think the answer should be 6,I just added the two fractions
Find the measure of arc BC. PLEASE HELP!!
Answers
Check the picture below.
The measure of arc BC in a circle where the two chords, chord AD and chord AC are equal in measure, is 146°. Option C is correct.
What is the measure of arc made by parallel chord?The measure of arc made by parallel chord in a circle are equal in measure.
The arc made by chord BC is,
arc BC=8x-46° .....1
The arc made by chord AD is,
arc AD=5x+26° .......2
The chord AD and BC are equal. Thus, the arc made by them should be equal. Thus,
arc BC=arc AD
8x-46°=5x+26°
Simplify it further,
8x-46°=5x+26°
8x-5x=26+46
3x=72
x=(72/3)
x=24°
Put the value of x in equation 1,
arc BC=8x-46°
arc BC=8(24°)-46°
arc BC=192°-46°
arc BC=146°
Thus, the measure of arc BC in a circle where the two chords, chord AD and chord AC are equal in measure, is 146°. Option C is correct.
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2.) The inverse of the function y = 7x + 5 is y = x+5/7
A. True
B. False
Answers
Answer:it is false
Step-by-step explanation:
Since we are talking about inverse of a function. we would be dealing with reversal. An inverse function is function that reverses another function. Getting the inverse will require reversing the numerator and denominator. This means that the numerator becomes the denominator and the denominator becomes the numerator.
The function given is
y = 7x + 5
Let us solve to see whether the inverse is is y = x+5/7 is true or false
The numerator is 7x + 5 and the denominator is 1
The inverse becomes 1 / (7x + 5 )
So it is false
A deep-cone clarifier tank is being built. The radius is 5 feet, the height of the cylinder is 8 feet and the height of the cone is 6 feet. Assuming there is no sheet metal overlap, how much sheet metal is needed to build this tank including the top? Must show work
Answers
Answer:
Is needed [tex]452.32\ ft^{2}[/tex] of sheet metal to build this tank
Step-by-step explanation:
we know that
To find how much sheet metal is needed to build this tank including the top, calculate the lateral area of the cone plus the lateral area of the cylinder plus the area of the top of the cylinder
[tex]A=\pi rl+2\pi rh1+\pi r^{2}[/tex]
we have
[tex]r=5\ ft[/tex]
[tex]h1=8\ ft[/tex] ----> height of the cylinder
[tex]h2=6\ ft[/tex] ----> height of the cone
Find the slant height of the cone l
Applying Pythagoras Theorem
[tex]l^{2}=r^{2}+h2^{2}[/tex]
substitute
[tex]l^{2}=5^{2}+6^{2}[/tex]
[tex]l^{2}=61[/tex]
[tex]l=\sqrt{61}\ ft[/tex]
assume
[tex]\pi =3.14[/tex]
[tex]A=(3.14)(5)(\sqrt{61})+2(3.14)(5)(8)+(3.14)(5)^{2}[/tex]
[tex]A=122.62+251.2+78.5=452.32\ ft^{2}[/tex]
Simplify:
7x2 – 4x + x2 – 3
Answers
Answer:
8x² -4x -3
Step-by-step explanation:
The x² terms are "like" terms, so can be combined. They have the same variable to the same power.
7x² -4x +x² -3
= (7+1)x² -4x -3 . . . . use the distributive property to rewrite 7x² +x²
= 8x² -4x -3
help me out please please
Answers
Answer:
2.25π m²
Step-by-step explanation:
The area (A) of a circle is calculated using the formula
A = πr² ← r is the radius
here the diameter = 3
The radius is half the diameter, that is radius = 1.5, so
A = π × 1.5² = 2.25π m²
Chico is financing a car for $9,550 and an APR 8.9 percent for 3 years. What is his monthly payment if the monthly payment per $100 is $3.18?
Answers
Answer:
the monthly payment is $303.69
Step-by-step explanation:
this is how i got it:
9,550 divided by 100= 95.5
95.5 x 3.18= 303.69
so the monthly payment it $303.69
Final answer:
To find Chico's monthly car payment, divide the total loan amount by $100 to determine the number of units and multiply by the monthly payment per unit, resulting in a monthly payment of $303.69.
Explanation:
The student's question relates to calculating the monthly payment of a car financing plan. To determine Chico's monthly payment for his car loan, we can use the provided information that each $100 of the loan requires a $3.18 monthly payment at an APR of 8.9%. Since Chico is financing $9,550, we first divide this amount by $100 to find the number of 'units' of $100 in the total loan amount. We then multiply that number by the monthly payment per $100 to find the total monthly payment.
Calculate the number of $100 units in the total loan amount: $9,550 / $100 = 95.5 units.
Multiply the number of units by the monthly payment per unit: 95.5 units * $3.18/unit = $303.69.
Therefore, Chico's monthly payment for the car would be $303.69.
Determine which postulate or theorem can be used to prove that ΔABC ≅ ΔDCB. tyvm!
Answers
Answer:
D. ASA
Step-by-step explanation:
We are given the measure of angle C, the side BC, and the measure of angle B
So we are given an angle, a side, then an angle
Answer:
The correct answer is option C. AAS
Step-by-step explanation:
From the figure we can see that, two triangles,
ΔABC and ΔBCD
To find the correct option
From figure we can see that,
From ΔABC and ΔBCD we get,
<A = <D
<C = <B and side BC is common for both the triangles ΔABC and ΔBCD
The order of congruence is
angle, angle and side AAS
The correct answer is option C. AAS
PLEASE HELP QUICK AND EXPLAIN. I'M OFFERING 25PTS (It's only worth 10pts) AND BRAINLIEST ANSWER. I'VE POSTED LIKE 5 TIMES PLEASE HELP ME
Answers
so what is the question that u are asking. I'll help you out
Answer:
sheeewsh
Step-by-step explanation:
99 POINTS PLZ HELP Which explanation best describes the answer to this problem? At the honey farm there were 35 bees in a hive. There were 26 hives. How many bees were there?
Answers
Answer:
910 bees
Step-by-step explanation:
There are 35 bees in a hive and we have 26 hives.
Take the number of hives and multiply by the number of bees per hive
26*35 =910
There are 910 bees total
If there are 26 hives and there are 35 bees in each hive we can do the simple math of 26x35=910
5. Which stem-and-leaf plot represents the data set below?(1 point) 64,67,81,89,108,114,74,52,93,76,87
Answers
Even though I'm late it's
5 | 2
6 | 4 7
7 | 4 6
8 | 1 7 9
9 | 3
10 | 8
11 | 4
Well that's what it was for mine, yours seems to be the same one as mine
The stem-and-leaf plot that represents the given data set is shown in the image attached below:
How to Draw a Stem-and-Leaf?If 74, 75, 76 are data points in a given data set, 7 will be stem, while 4, 5, 6 will be the leaf on the stem-and-leaf plot.
Given the data set, 64,67,81,89,108,114,74,52,93,76,87, the stem-and-leaf plot of the data would be drawn as shown in the image attached below.
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