Answer:
The third number (c) is 54.
The other ones are 70 and 56.
Step-by-step explanation:
We have 3 numbers, let's call them a, b and c.
We know that the sum of the three numbers is 180, thus:
[tex]a+b+c=180[/tex]
We also know that the first number is 10 more than the mean of the three numbers (Note: the mean is the sum of the numbers divided by the number of numbers). Thus:
[tex]a=\frac{a+b+c}{3} +10\\a=\frac{a+b+c+30}{3} \\3a=a+b+c+30\\2a=b+c+30[/tex]
Finally the second number is 4 less than the mean:
[tex]b=\frac{a+b+c}{3}-4\\b=\frac{a+b+c-12}{3} \\3b=a+b+c-12\\2b=a+c-12[/tex]
Now we have our set of equations and we can proceed to solve them:
[tex]a+b+c=180\\2a=b+c+30\\2b=a+c-12[/tex]
Solving for a in our first equation we have: [tex]a=180-b-c[/tex] and substituting this in our second equation we have:
[tex]2a=b+c+30\\2(180-b-c)=b+c+30\\360-2b-2c=b+c+30\\330=3b+3c\\110=b+c[/tex]
Now taking this last result into our first equation we have:
[tex]a+b+c=180\\a+(b+c)=180\\a+110=180\\a=70[/tex]
Now we are going to solve for b in our second equation and substitute this in our third equation: [tex]b= 180-a-c[/tex]
[tex]2b=a+c-12\\2(180-a-c)=a+c-12\\360-2a-2c=a+c-12\\372=3a+3c\\124=a+c[/tex]
But we know that a =70, so we can substitute it in our last line:
[tex]124=a+c\\124=70+c\\54=c[/tex]
Now we just need to find b and we can use our first original equation to do this:
[tex]a+b+c=180\\70+b+54=180\\124+b=180\\b=180-124\\b=56[/tex]
PLZ HELP!! :)
You estimate that a lamb weighs 10 pounds. The actual weight of the lamb is 13 pounds. Find the percent error. Round your answer to the nearest hundredth of a percent.
Answer:
30%
Step-by-step explanation:
Seems as if that lamb was thiccccca than what you thought
A jar of marbles has 3 blue marbles,
4 red marbles, and 2 green marbles.
What is the probability of drawing a
marble that is green or not red?
Answer:
50/50
Step-by-step explanation:
the other person said it and it makes sense smh
What is the lcm of 3,8
Answer: 24
Step-by-step explanation: The LCM of 3 and 8 is 24.
3 6 9 12 15 `18 21 24
8 16 24
Find the center and radius when x^2+y^2+4x-4y=17
Answer:
the center is (-2,2) and the radius is 5
Answer:
Center: (-2,2)
Radius:5
Step-by-step explanation:
The first step in this problem is to complete the square and to find the equation of this circle in standard form.
[tex]x^2+y^2+4x-4y=17[/tex] can be rearranged to be:
[tex]x^2+4x+y^2-4y=17[/tex]
Now, you can begin to complete the square with both the x and the y:
[tex](x^2+4x+4)-4+(y^2-4y+4)-4=17[/tex]
Adding 8 to both sides and finishing the squares:
[tex](x+2)^2+(y-2)^2=25[/tex][tex](x+2)^2+(y-2)^2=25[/tex]
The coordinates of the center of the circle are (-2,2), and the radius is [tex]\sqrt{25}=5[/tex]. Hope this helps!
Joe is looking for a new laptop case. His computer is 18 x 13.5 inches. What is the perimeter and area of the laptop case?
Perimeter:
Area:
Answer:
Perimeter =63 inches
Area = 243in²
Step-by-step explanation:
Given data
Length of computer = 18in
Width of computer = 13.5in
From the given data the computer has a rectangular shape
Perimeter of the computer = L+L+W+W= 2L+2W
Perimeter = 2(18)+ 2(13.5)
Perimeter = 36+27=63 inches
Area of rectangular shape = L*W
Area = 18 x 13.5= 243in²
Answer:
Perimeter: 63 inches
Area : 243 square inches
Step-by-step explanation:
Hi, to answer this question w eave to apply the next formulas:
Perimeter of a rectangle: (2 x width) + (2 x length )
Area of a rectangle: width x length
Replacing with the values given:
Perimeter: 2(18) +2(13.5) = 36+27 = 63 inches
Area = 18 x 13.5 = 243 square inches
Feel free to ask for more if needed or if you did not understand something.
one person has corona virus then ten more people catch it how many people have corona virus
Answer:
11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
1 - Person already infected
10 - People who got the virus
1 + 10 = 11
How many ways can Gary, Cayla, and
Pinak finish a bicycling race in first, second,
and third place?
Answer:
6
Step-by-step explanation:
G,C,P
C,P,G
P,G,C
G,P,C
P,C,G
C,G,P
Write down first five multiples of 7.
Answer:
7, 14, 21, 28, 35
Step-by-step explanation:
Answer:
7,14,21,28,35.
Step-by-step explanation:
7+7=14
14+7=21
21+7=28
Add 7 to each term to get the next or multiply 7 by 5 same answer
Electronics unlimited sells tvs. There are 110 tvs on display in the showroom, and each tv is turned on to a random channel from a set of 11 channels, 7 sport channels, 3 news channels, and one movie channel. Which statement best predicts how many tvs will not be showing a sports channel?
Answer:
b
Step-by-step explanation:
khan
Find the area of a triangle whose sides are 12 cm 6 cm and 14 cm
Answer:
32
Step-by-step explanation:
add 12 + 6 + 14
If a population has a mean of 128 and samples of size 50 from this population have a standard deviation in their sample means of 3.8, then which of the following sample mean would not be within the margin of error when sampling from this population?
A) 119.7
B) 122.8
C) 134.9
D) 135.2
How milliliters will there be?
Answer: Conver 9.7 liters into milliliters!
Me: Ok
Can Yo explain: You
Me: multiply the volume value by 1000
Me: is 9700
Wow Thanks! Goodbye! :You
Me: I am smarter!
Grace made a dot plot showing the distances she ran each day for two weeks. She says that she usually runs 7 miles each day because that is the distance that occurs most often. Do you agree with Grace's reasoning?
Answer: No
Step-by-step explanation:
Because Mode is not the best centre of tendency use for statistical data. And mode cannot be used for average.
Mean should be used for average values
Answer:
da ba dee da ba doo im blue
Step-by-step explanation:
Grace made a dot plot showing the distances she ran each day for two weeks.
She says that she usually runs 7 miles each day because that is the distance that occurs most often.
Do you agree with Grace’s reasoning?
Use the drop-down menus to explain and show your answer.
Dot plot named as ALTDCDistances RunALTDC has number line from 1 to 7. 1 dot on 1, 3 dots on 2, 3 dots on 3, 3 dots on 4 and 4 dots on 7 are given.
The mode, which is (3,4, or 7) ,(is or is not) a typical distance for the data. The median, which is (3.5,4, or 7),(is or is not) a typical distance for the data. The mean, which is (3,4, or 7) ,(is or is not) a typical distance for the data. So, Grace’s reasoning(is or is not ) correct.
Need help ASAP. WILL MARK BRAINLIEST
Answer: 150.80 inches.
Step-by-step explanation:
Answer:
75.36
Step-by-step explanation:
You need to multiply the diameter, 24 by 3.14, and the answer is 75.36.
I need help with this question please
Write an equation and solve. One telephone company charges $16.95 per month and $0.05 per minute for local calls. Another company charges $22.95 per month and $0.02 per minute for local calls. For what number of minutes of local calls per month is the cost of the plans the same?
Answer:
200 minutes
Step-by-step explanation:
16.95 + 0.05 x = 22.95 + 0.02 x
0.05 x - 0.02 x = 22.95 - 16.95
0.03 x = 6.00
x = 6.00 / 0.03 = 600 / 3 = 200
Answer:
200 minutes
Step-by-step explanation:
First you need to make two equations for the rates of each telephone company
The first equation will be y = 0.05x +16.95 and the second equation will be
y = 0.02x + 22.95
Then you need to set the two equations equal to each other in order to find where the number of minutes of local calls per month is the same
The coordinates for a quadrilateral are (0, 0), (-1, 2), (1, 6) and (2, 4). Determine the type of quadrilateral.
Group of answer choices
Parallelogram
Square
Rhombus
Rectangle
Answer:D is a rectangle
Step-by-step explanation:
What is 12 1/2- (4 1/2
Answer:
Step-by-step explanation:
9(p-4) = -18 Please help guys!
Answer:
Step-by-step explanation:
14)
Solve the equation for x.
6(4x - 10) = 84
A)
2
B)
3
4.
6
Answer:
ig D)))))))...
Step-by-step explanation:
......
6*4x = 24x
6*(-10) = -60
24x - 60 = 84
Add 60 to both sides
24x = 144
Divide both sides by 24
x = 6
In PQR, m 2 R = 90°. Which ratio represents thе соѕinе of Angle Q?
Answer:
Triangle PQR has right angle R (R = 90 deg).
=> RQ and RP are adjacent sides, PQ is hypotenuse
=> cos Q = QR/PQ
=> Option B is correct
Hope this helps!
:)
Amy and Brenda are selling tickets to a spring musical. Amy sold 2 less than three times as many tickets as Brenda sold. if b represents the number of tickets Brenda sold, which of the following expressions represents total number of tickets that Amy and Brenda sold to the spring musical.
A. 3b-2
B. 4b-2
C. 3b-6
D.4b-6
Answer:
The answer is B. 4b-2
Step-by-step explanation:
Amy sold 3b-2 and Brenda sold b
If we add them together, their sum would be
3b-2+b= 4b-2
whats 2.638 rounded to the nearest hundredth?
Answer:
2.64
Step-by-step explanation:
The 8 in the thousandths place can round up to .64
Bob has taken out a loan of $15,000 for a term of 48 months (4 years) at an interest rate of 6.5%. Using the amortization table provided, what will be his total finance charge over the course of his loan?
Monthly Payment per $1,000 of Principal
Rate 1 Year 2 Years 3 Years 4 Years 5 Years
6.5% $86.30 $44.55 $30.65 $23.71 $19.57
7.0% $86.53 $44.77 $30.88 $23.95 $19.80
7.5% $86.76 $45.00 $31.11 $24.18 $20.04
8.0% $86.99 $45.23 $31.34 $24.41 $20.28
8.5% $87.22 $45.46 $24.65 $24.65 $20.52
9.0% $87.45 $45.68 $31.80 $24.89 $20.76
A.
$355.65
B.
$975.00
C.
$1,682.40
D.
$2,071.20
E.
$17,071.20
The total finance charge over the course of his loan is $2071.20.
It is required to find the total finance charge.
What is simple & compound interest?Simple Interest can be defined as the sum paid back for using the borrowed money, over a fixed period of time. Compound Interest can be defined as when the sum principal amount exceeds the due date for payment along with the rate of interest, for a period of time. Formula. S.I. = (P × T × R) ⁄ 100.
Given that:
Loan= $15,000
The table tells you that Bob's monthly payment on a 4-year loan at 6.5% will be 23.71 per thousand borrowed.
The sum of those 48 payments is ...
=48 × $23.71 =
=$1138.08
That means, Bob pays $138.08 in total finance charge for each $1000 he borrows. He is borrowing 15 times $1000.
so his total finance charge will be
= 15 × $138.08
= $2071.20
Therefore, the total finance charge over the course of his loan is $2071.20.
Learn more about simple & compound interest here:
https://brainly.com/question/16666364
#SPJ5
Answer:
D.
$2,071.20
Step-by-step explanation:
Can someone give me three possible solutions?
What are the coordinates of the x-intercept of the equation 2x - 3y = 8?
Answer:
(4;0)
Step-by-step explanation:
y=0
2x-3×0=8
2x=8
x=4
URGENT an athlete can lift a maximum of 80 pounds. if she uses 3 pound weights when she exercises, what percent is she lifting
Answer:
should be 3.75 percent
54 out of 72 is what percent
Answer:
the answer is 75 percent
Simplify x + 3x - 36
Answer:
4x-36
Step-by-step explanation:
3x+x=4x
Answer:
4(x - 9)
Step-by-step explanation:
x + 3x - 36 =
= 4x - 36
= 4(x - 9)
How many people can ride in 1 car? In 10 cars?
Answer:
depends on the car
Step-by-step explanation:
Answer:
It depends on how many sits the car have
Step-by-step explanation:
If one angle of a set of supplementary angles measures 77°, then the other angle measures _____.
If two angles are supplementary, then
the sum of their measures is 180°.
So if the measure of an angle is 77°,
the measure of its supplement is 103°.
We can find the measure of its supplement by taking 180 minus the measure of the original angle which in this case is 180 - 77 or 103°.
Answer:
then the other angle measures _1_0_3_.
