The calculation is not reasonable, because 0.45 is less tha 1/2 ( 0.50) and what he has for an answer is half the distance ( 250.17 is 1/2 of 500.34).
To find actual mileage, multiply by 0.45:
500.34 x 0.45 = 225.153 miles.
Round the answer as needed.
−5y=−5
7x+6y=7
Is (5,1) a solution of the system
Answer:no, (5,1) is not a solution for the equation. (1/7,1) will be a solution for the equation.
Step-by-step explanation:
one way to do it is to plug 1 as the y-value into the first equation which does work but when you plug 5 as the x-value and 1 as the y-value in the second equation, it will get you to 41 which does not match so it will not be an equation. the other way to check is to solve by substitution which for the first equation, you divide both side by -5 and get y=1 then substitute y with 1 in the second equation and subtract both side by 6 and get 7x=1 and divide both side by 7 to get 1/7. the y-value match but the x-value don't so (5,1) is not a solution.
There were 15 students running in a race. How many different arrangements of first, second, and third place are possible?
Answer:
The area 2730 possible arrangements of first, second, and third place.
Step-by-step explanation:
The order in which the students finish is important. For example A, B and C is a different finishing order(outcome) than B, A and C. So we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this question:
3 from a set of 15. So
[tex]P_{(15,3)} = \frac{15!}{(15-3)!} = 2730[/tex]
The area 2730 possible arrangements of first, second, and third place.
Write the expanded form of h(3k-12.4)
Answer:3hk - 12.4h
Step-by-step explanation:
h(3k-12.4)
h x 3k - h x 12.4
3hk - 12.4h
Giving brainliest to CORRECT answer.
Answer:
D
If you put the equation into a calculator, it will show a graph of it.
A wedge of cheese in the shape of a triangular prism is shown below.
Find the surface area of the cheese.
_______Square feet
Answer:
[tex]144 $ Square feet[/tex]
Step-by-step explanation:
The given triangular prism comprises of two equal right triangles and three rectangles.
The Surface Area of the Prism
=Area of Two Triangles + Area of Three Rectangles
[tex]=2(0.5X6X8)+(6X4)+(10X4)+(8X4)\\=48+24+40+32\\=144 $ Square feet[/tex]
Answer: 144
Step-by-step explanation:32+24+4-+48=144
Complete A and B for 5-8 points.
Answer:
a) 4 hours
b) 11 am
Step-by-step explanation:
So say the number of hours is x
a) 72 + 6x = 96
6x = 24
x = 4
b) 7am + 4 hours = 11am
B(4,8) and C(8,0) are the endpoints of a line segment. What is the midpoint M of that line
segment?
Write the coordinates as decimals or integers.
Answer:
(6,4)
Step-by-step explanation:
I just did quick math in my head.
list all the factor means use divisibility rules of 102,232
Answer:
102,232 = 2·2·2·13·983
Step-by-step explanation:
102,232 ends in 32, so is divisible by 4
102,232/4 = 25558 ends in 2, so is divisible by 2
25558/2 = 12779
is not even, so is not divisible by 2
has a sum of digits mod 9 of 8, so is not divisible by 3 or 9
does not end in 0 or 5, so is not divisible by 5
gives the result 1277-2·9 = 1259; 125-2·9 = 107; 10-2·7 = -4, which is not zero, so 12779 is not divisible by 7
gives the result (1+7+9)-(2+7) = 8, which is not divisible by 11, so 12779 is not divisible by 11
gives the result 1277 +4·9 = 1313, which is divisible by 13, so 12779 is divisible by 13
12779/13 = 983 needs to be tested for divisibility by primes between 17 and 31, namely 17, 19, 23, 29, 31. It is not divisible by any of these, so this is the last prime factor of 102,232:
102,323 = 2·2·2·13·983
_____
Divisibility rules:
Note that for any transformation rule, the rule can be repeated on the reduced result. The digits of a sum of digits can be summed, for example.
2: ends in even digit
3: sum of digits is divisible by 3
5: ends in 0 or 5
7: subtracting 2 times the last digit from the rest is divisible by 7
11: difference of sums of alternate digits is divisible by 11
13: there are several rules. A couple of useful ones are
the sum of 4 times the last digit and the remaining number will be divisible by 13 (used above)the difference of the sums of alternate groups of 3 digits will be divisible by 13 (232-102 = 130, for the number above; is divisible)17: subtracting 5 times the last digit from the rest is divisible by 17
19: the sum of 4 times the last 2 digits and the remaining number will be divisible by 19
23: the sum of 3 times the last 2 digits and the remaining number will be divisible by 23
29: the sum of 9 times the last 2 digits and the remaining number will be divisible by 29
31: subtracting 3 times the last digit from the rest is divisible by 31
Question 11 of 15
Micah is filling up his cone-shaped cup with water. The cup (as shown) has a diameter of 72 millimeters and a slant height of 45
millimeters. How much water can Micah fill in his cup?
Answer:
36.644 mL . . . . depending on your value of π (see below)
Step-by-step explanation:
The height of Micah's cup is found from the radius and slant height. The radius is half the diameter, so is 36 mm. Then the height h is ...
45² = 36² +h²
h = √(45² -36²) = 27 . . . . . mm
The volume is given by the formula ...
V = (1/3)πr²h
V = (1/3)π(36 mm)²(27 mm) = 11664π mm³
For π = 3.14
11664(3.14) mm³ ≈ 36,625 mm³ = 36.625 mL
For π = 3.14159265
11665π mm³ = 36,644 mm³ = 36.644 mL
_____
Comment on units
A unit of measure used for relatively small volumes, especially of liquid, is milliliters (mL). 1 mL = 1000 mm³.
Answer:
The answer is 11664pimm^3
Step-by-step explanation:
Two angles are supplementary. The measure of the larger angle is 12 degrees more than three times the smaller angle. Find the measures of the angles
Answer:
Measure of first angle: 42 degrees,
Measure of second angle: 138 degrees
Step-by-step explanation:
Let us say x ⇒ measure of the smaller angle, y ⇒ measure of the larger angle
1. Now given that the measure of the larger angle is 12° more than 3 times the smaller angle: y = 12 + 3x
2. If these angles are supplementary, we could formulate another equation were the two angles add to 180°: x + y = 180
3. In this situation it is convenient to apply substitution as to solve for x, y:
1. x + ( 12 + 3x ) = 180
2. x + 12 + 3x = 180
3. 4x + 12 + 180
4. 4x = 168
5. x = 42 degrees
4. Now substitute this value of x into the first equation y = 12 + 3x, and to solve for y as well:
1. y = 12 + 3 ( 42 )
2. y = 12 + 126
3. y = 138 degrees
Here we need to find two angles given that the angles are supplementary and one is 12° larger than the other.
the two angles are 84° and 96°.
We should start by defining what supplementary angles are.
Two angles a and b are supplementary if:
a + b = 180°.
Now, we also know that one of the angles is 12° larger than the other, so we can write:
a = b + 12°
Now that we have that equation, we can replace it in the first one, so we get:
a + b = 180°
(b + 12°) + b = 180°
Now we can solve this for b.
2*b + 12° = 180°
2*b = 180° - 12° = 168°
b = 168°/2 = 84°
To find the value of a, we can use the equation:
a = b + 12°
a = 84° + 12° = 96°.
Then the two angles are:
84° and 96°.
If you want to learn more, you can read:
https://brainly.com/question/18164299
What is the length of AC? Brainliest for right answer
Answer:
2.3 units
Step-by-step explanation:
Solve for a given 2e^a =4b
Answer:
a = ln (2b)
Step-by-step explanation:
2e^a =4b
Divide each side by 2
2/2 e^a =4/2b
e^a = 2b
Take the natural log of each side
ln(e^a) = ln(2b)
a = ln (2b)
What is the sum in simplest form I ready diagnostic please hurry
example:
The value of x is 22
Step-by-step explanation:
We are given that there are two numbers
First number is x
second number is 35
The sum of x and 35 is 57
so, we get equation as
now, we can solve solve x
So, subtract both sides by 35
What is volume of a cylinder with base area 64pi cm² and a height equal to twice the radius? Give your answer in terms of pi.
512 pi
256 pi
1024 pi
4096 pi
Answer:
1024 pi
Step-by-step explanation:
The area formula is ...
A = πr^2
So, the radius is ...
r = √(A/π)
For the given area, the radius of the cylinder is ...
r = √(64π/π) = 8 . . . . cm
The height is said to be twice this value, so is 16 cm.
__
The volume of the cylinder is found from ...
V = Bh
where B is the base area and h is the height. Our cylinder has a volume of ...
V = (64π cm^2)(16 cm) = 1024π cm^3
what are the steps for using integar tiles to evaluate the expression 45 divided by 15
Answer:
1. Gather 45 tiles
2. Split them up into groups of 15. Your answer will be the amount of piles you end up with. Hope this helps!
The value of a car with an initial purchase price of $18,250 depreciates by
11% per year.
Step-by-step explanation:
This problem on depreciation of price.
Given data
initial price = $18,250
rate of depreciation = 11%
to solve for the new price we must find 11 percent of the initial price (depreciated value) and subtract from the initial price, we have
depreciation=
[tex]\frac{11}{100} *18250\\0.11*18250= 2007.5[/tex]
Hence the depreciation= $2007.50
the new amount is [tex]= initial amount - depreciation[/tex]
[tex]=18250-2007.50\\= 16242.50[/tex]
the new amount is $16242.50
Select the correct symbol to compare the rates.
22 miles in 20 minutes 38 miles in 30 minutes
Answer:
<
Step-by-step explanation:
22/20=1.1
38/30=1.27
Answer:
<
Step-by-step explanation:
tell me the answer to the question plz
Step-by-step explanation:
(11.99+23.98+9.95)= 45.92
she has to pay = 45.92 - 20/100 (45.92)
= 45.92 - 9.18 = 36.74
so option
about 37 is right
y = -16x2 + 242x + 78
Answer:
y=210x+78
Step-by-step explanation:
y=-16x*2+242x+78
y=-32x+242x+78
y=210x+78
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
faz um bom tempo que não faço expressões numéricas,vcs podem me ajudar!
Answer:
English Plz
Step-by-step explanation:
please answer this correctly I have to finish this today as soon as possible
Estimate the measure of this angle within 10°.
Answer:
It seems like it is 110 degrees.
Step-by-step explanation:
Will mark brainlist and give extra points bth grade math
Answer:
the answer is d
Step-by-step explanation:
Answer:
The answer is D
Step-by-step explanation:
Express this number in scientific notation 0.0008235
When plotting points on the coordinate plane below, which point would lie on the y-axis?
(0, 1)
(7, 0)
(6, 8)
(8, 2)
Answer:
(0,1)
Step-by-step explanation:
i got it right
Solve for I.
3x -8 < 23 AND
- 4x + 26 > 6
A circle with circumference 8 has an arc with a 288 central angle what is the length of the arc
Answer:3.3
Step-by-step explanation:
Circumference=8
Φ=288
π=3.14
Radius=r
Circumference=2 x π x r
8=2 x 3.14 x r
8=6.28 x r
Divide both sides by 6.28
8/6.28=(6.28 x r) /6.28
1.3=r
r=1.3
Length of arc =Φ/360 x 2 x π x r
Length of arc =288/360 x 3.14 x 1.3
Length of arc =0.8 x 3.14 x 1.3
Length of arc =3.3
Answer:32/5
Step-by-step explanation: did it in khan
brainliest quick!
Aiden wanted to model -15 + 15 = 0 on the number line. He first drew an arrow 15 units long starting from zero that pointed to the left. He then draws another arrow 15 units long starting from zero that points to the right. What error did Aiden make?
A. The first arrow he drew should have pointed to the right to represent -15.
B. The second arrow he drew should have pointed to the left to represent 15.
C. The first arrow he drew should have started at -15 instead of 0.
D. The second arrow he drew should have started at -15 instead of 0.
Answer:
c
Step-by-step explanation:
Answer:
it's D
Step-by-step explanation:
The number never goes over 0 so there is no need to put anything above 0
40/50 to a simpel fraction
Answer:
4/5
Step-by-step explanation:
just divide by 10 since that's the largest number that both numbers can equally be divisible by
Answer:
4/5 because 40/50 simplified is 4/5 bc you knock off the zeros for question like that
Step-by-step explanation:
Find the values of the variable y, for which:
the difference between the fractions y+12/y-4 and y/y+4 is equal to their product
Answer:
y = 12
Step-by-step explanation:
Ordinarily, in math, when we say "the difference between ..." we mean the second listed item is subtracted from the first. (In English, we often mean "the positive difference between ..." so the order doesn't matter.)
We'll assume we are only interested in the case where the difference is in the order listed.
[tex]\dfrac{y+12}{y-4}-\dfrac{y}{y+4}=\dfrac{y+12}{y-4}\cdot\dfrac{y}{y+4}\\\\\dfrac{(y+12)(y+4)-(y-4)(y)}{y^2-16}=\dfrac{(y+12)(y)}{y^2-16}\\\\0=\dfrac{y^2-8y-48}{y^2-16}=\dfrac{(y-12)(y+4)}{(y-4)(y+4)}=\dfrac{y-12}{y-4}\qquad\text{$y\ne -4$}\\\\\boxed{y=12}[/tex]
There is one solution.
_____
Comment on the solution
If you were to "clear fractions" by multiplying the equation by (y^2-16), you would also obtain the extraneous solution y=-4. That is why we did not solve it that way.
