Answer:
24.56 minutes
Step-by-step explanation:
68,700 - (625 * x) = 53,350
We subtract 53,350 from both sides
15,350 - (625 * x) = 0
625x = 15350
x = 15350/625
x = 24.56
He needs to wait 24.56 minutes to get his car.
One hundred pyramid-shaped chocolate candies with a square base with 12 mm sides and height of 15 mm are melted in a cylindrical pot. If the pot has a radius of 75 mm, what is the height of the melted candies in the pot?
Step-by-step explanation:
Volume of 100chocolates:
((12^2 x 15)/3) x 100 =72000
volume of cylinder:
base area x height
base area= πr^2= 5625π
height=volume/base area
height=72000/5625π=4.07 (3sf)
ans: 4.07mm
Can u help solve this
Answer:
2304 in^3
Step-by-step explanation:
12×12×6+8×10×18
=864+1440
=2304
A cylindrical bucket is 24 cm tall and has a radius of 5 cm. Approximately, what is the
bucket's volume?
Answer: 1884 cm³
Step-by-step explanation:
cylinder volume = π · r² · h
h = height = 24 cmr = radius = 5 cmπ = pi ≈ 3.14π · r² · h = 3.14 · 5² · 24 = 3.14 · 25 · 24 = 1884 cm³
which steps should be used to graph the equation y-4=1/3 (x+2)
Answer:
y - 4 = 1/3 (x + 2)
3 y - 12 = x + 2
3y = x + 14
y = x / 3 + 14 / 3
Using y = m x + b as the equation for a standard line
We see that equation represents a line with slope of 1/3
When x = 0 the y-intercept is 14 /3
can someone please help? worth 10pts
Answer:
equation of the line would be y=-3x+7
Step-by-step explanation:
because the line goes 3 up and 1 behind for the next point ad the line is not y intercept 7
Jeff reads 5/7 of a book in 4 hours. At this rate, how much did he read in 1 hour? Please answer this correctly. Don't put a link i will report you.
Answer:
Jeff read 5/28 of a book in 1 hour.
Step-by-step explanation:
The rate given is 5/7 of a book read in 4 hours.
If the questions asks how much he read in 1 hour, it means the answer needed is a unit rate.
A unit rate is a rate per unit. In this case, a rate per hour.
Let’s find how much Jeff read in 1 hour:
5/7 in 4 hours is the rate given so:
5/7 ÷ 4
= 5/7 x 1/4
= 5/28 (already simplified/final answer)
SO, Jeff read 5/28 of the book in 1 hour.
Brainliest? Hope this helped!
(a) You are given that 246x17 = 4182
Explain how you use this calculation to work out the value of 2460 x 1700
and
(b) 16x3 is 48. Use this to work out the answer to 0.16 x 0.3, showing how you do so.
Answer:
246×17=4182
2460×1700=4182000
(one zero on the end+2 zeroes in the end=3 zeroes in the end on the answer)
16×3=48
0,16×0,3=0,048
(2 numbers after comma+1 number after comma=3 numbers after comma in the answer)
what is the length of AC?
Answer:
The answer is 18 feet...
Step-by-step explanation:
C. 18ft is the answer
Find the midpoint of AC.
Answer:
(0+a)/2 , (0+a)/2
= (a/2, a/2)
Answered by GAUTHMATH
Find the missing side lengths
Answer:
u is 17√2 and v is 17
Step-by-step explanation:
To find u:
[tex]{ \bf{ \sin( \theta) = \frac{opposite}{hypotenuse} }}[/tex]
feed in the terms:
[tex] \sin(45 \degree) = \frac{17}{u} \\ \\ u = \frac{17}{ \sin(45 \degree) } \\ \\ u = 17 \sqrt{2} [/tex]
To find v:
[tex] \cos( \theta) = \frac{adjacent}{hypotenuse} [/tex]
feed in the terms:
[tex] \cos(45) = \frac{v}{u} \\ \\ v = u. \cos(45) \\ v = (17 \sqrt{2} )÷( \sqrt{2} ) \\ v = 17[/tex]
Solve the inequality 2x – 22 < -8.
2x - 22 < -8
Add 22 to both sides
2x < 14
Divide both sides by 2
X < 7
Answer:
[tex]2x-22<-8[/tex]
Add 22 to both sides
[tex]2x-22+22<-8+22[/tex]
[tex]2x<14[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}<\frac{14}{2}[/tex]
[tex]x<7[/tex]
OAmalOHopeO
Evaluate the function for x = 3a.
f(x) = 2x^2 – 3x +4
A. 9а
B. 6a^2- 9a + 4
C. 18a^2 - 9a +4
D. 12a^2 - 6a+4
Answer:
C
Step-by-step explanation:
We are given the function:
[tex]f(x) = 2x^2 -3x+4[/tex]
And we want to evaluate it for x = 3a.
Substitute:
[tex]f(3a) = 2(3a)^2-3(3a)+4[/tex]
Square:
[tex]f(3a) = 2(9a^2)-3(3a)+4[/tex]
Simplify:
[tex]f(3a) = 18a^2-9a+4[/tex]
Hence, our answer is C.
Suppose we have a stick of length 1.a) We randomly uniformly choose a point and break the stick into two pieces.Find the expected length of the smaller piece.b) We randomly uniformly choose two points (independently) and break thestick into three pieces. Find the probability that the three resulting piecescan be arranged to form a triangle (i.e. all triangle inequalities are satisfied;i.e no piece is longer than the sum of the other two).
Answer:
Step-by-step explanation:
1) The smaller sticks will range in length from almost 0 unit up to a maximum of 0.5 unit, with each length equally possible.
Therefore, the average length will be about (0 + 0.5)/2 = 0.25 unit
2)If you assume that each break in the stick is uniformly distributed along the length of the stick and is independent of the location of the other break, then the odds are 25% that you will be able to form a triangle with the 3 pieces.
We'll call the length of the stick 1, so each break can occur at a position in the interval [0,1]. Let x and y represent the two breaks. Then we can look at the area of the region in the square bounded x=0, x=1, y=0, y=1, which represents combinations of x and y, for which we can form a triangle. Since the area of the whole square is 1, the area of the region inside is our probability.
If y>x, then the lengths of the pieces are x, y-x, and 1-y.
The triangle inequality must hold for each combination of edges.
for y>x ...
x+y−x≥1−y
x+1−y≥y−x
y−x+1−y≥x
these simplify to...
for y>x ...
y≥1/2
x+1/2≥y
x≤1/2
If we cut our 1x1 square into two triangles along the line x=y,
then the region in the upper triangle which satisfies the inequalities above forms a smaller triangle which connects the midpoints of the upper triangle.
The lower triangle (x>y), is just a reflection about x=y of the upper triangle, so together, the entire region looks like a bow-tie at a 45 degree angle.
This region takes up 25% of the square, so the probability that you can form a triangle is 25%
Can SOMEONE PLEASE HELP ME? I really need to get this work done by tonight. PLEASE
Can someone give me the answer asap thanks.
D. 2x⁶y²
This is the equivalent expression.
It is known that seventy percent (70%) of married couples paid for their honeymoon themselves. You randomly select 9 independent married couples and ask each if they paid for their honeymoon themselves. Let our random variable be X = the number of married couples that paid for their honeymoon themselves. What is the probability that all married coupled asked stated they paid for their honeymoon themselves? (Round your answer to four decimal places).
Answer:
0.0404 = 4.04% probability that all married coupled asked stated they paid for their honeymoon themselves.
Step-by-step explanation:
For each couple, there are only two possible outcomes. Either they paid for their honeymoon, or they did not. The probability of a couple having paid for their honeymoon is independent of any other couple, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
It is known that seventy percent (70%) of married couples paid for their honeymoon themselves.
This means that [tex]p = 0.7[/tex]
You randomly select 9 independent married couples.
This means that [tex]n = 9[/tex]
What is the probability that all married coupled asked stated they paid for their honeymoon themselves?
This is P(X = 9). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 9) = C_{9,9}.(0.7)^{9}.(0.3)^{0} = 0.0404[/tex]
0.0404 = 4.04% probability that all married coupled asked stated they paid for their honeymoon themselves.
Help quickly PLEASE In a probability experiment, Eric flipped a coin 39 times. The coin landed on heads 26 times. What is the ratio of heads to tails in this experiment?
A. 3/2 B.1/2 C. 3/2 D 2/1
Answer: 2/1 (Choice D)
Explanation:
He flipped the coin 39 times, of which 26 heads came up. That must mean 39-26 = 13 tails came up.
The ratio of heads to tails is 26/13 = 2/1
We can write that as 2:1 to mean similar notation. The key is that we list heads first since the phrasing is "ratio of heads to tails", where heads is listed first. If you had tails first, then it would flip to 1/2 aka 1:2
PLS HELP
A sand castle can be modeled with four 6-inch-tall square prisms, one on top of the other, as shown in the figure below.
The base of the bottom prism has a side length of 30 inches, and the base of each of the other three prisms has a side length 7 inches less than the side length of the base of the prism below it. What is the volume of the sand castle?
5,196 square inches
7,422 square inches
10,596 square inches
Answer:
10,596 cubic inches
Step-by-step explanation:
The shape of the prism with which the sand castle can be modelled = Square prism
The arrangement of the square prism = One on top of the other
The given height of each prism, h = 6 inches
The side length of the base of the bottom prism, s₄ = 30 inches
The side length of the base of the other prism = The side length of the base of the prism below each prism - 7 inches
Therefore;
The side length of a prism = 7 inches + The side length of the prism above it
Given that the side length of the base prism (The fourth prism), s₄ = 30 inches
The side length of the prism, directly above the base prism (The fourth prism), s₃ = (30 - 7) inches = 23 inches
The side length of the prism, directly above the third prism (The second prism), s₃ = (23 - 7) = 16 inches
The side length of the top most prism, s₁ = (16 - 7) inches = 9 inches
The volume of the sand castle, V = h × (s₄² + s₃² + s₂² + s₁²)
∴ V = 6 × (30² + 23² + 16² + 9²) = 10,596
The volume of the sand castle, V = 10,596 in.³
Heyo!
The volume of the sandcastle above is 10,596 cubic inches.
Hope this helps! If so, please lmk! Tysm and good luck guys!
Find the real solution(s) of the following equation.
98 =
= 729
Choose all answers that apply:
A
8= 7
B
8= -7
8=9
D
8= -9
None of the above
Answer:
a=9
Step-by-step explanation:
a^3 = 729
Taking the cube root of each side
a^3 ^(1/3) = 729^ (1/3)
a = 9
solve |2x+2|=10 ap3x
Answer:
solving for x
Step-by-step explanation:
4 or -6
Answer:
x = 4
Step-by-step explanation:
Those absolute value signs are a trick, well at least for this problem. Solve it how you usually would. However, if +2 was -2 or +/-2, then you would need to pay attention. Basically, those signs make the whole equation incased positive no matter what.
The volume of a Rubik’s cube is 512/216 cubic inches. Find the length of a side of the cube.
Answer:
4/3 inches, or 1.33333 inches
Step-by-step explanation:
In terms of the volume of a cube, its side length is the cube root of it. Therefore, for a cube with a volume of 512/216 cubic inches, its side length is equal to ∛(512/216) = ∛(512)/∛(216) = 8/6 = 4/3 inches*
* we know that 8/6 = 4/3 because we can multiply both the numerator and denominator by 1/2 to get this result. If we multiply/divide the numerator or denominator by the same values, the fraction is still the same
\sqrt{10(x-3)} =\sqrt{26\\
Step-by-step explanation:
[tex]\sqrt{10(x-3)} =\sqrt{26}[/tex]
[tex]\sqrt{10x-30} = \sqrt{26} \\\10x-30 = (\sqrt{26} )^2\\10x - 30 = 26\\10x = 56\\x = 56/10\\so, x = 28/5[/tex]
highest common factor of 28,40,12 and 24
Answer:
4
Step-by-step explanation:
We want to find the highest common factor
Breaking them into factors
28 = 4*7 = 2*2*7
40 = 4*10 = 2*2*2*5
12 = 4*3 = 2*2*3
24 = 3*8 = 3*2*2*2
The factor that appears in all is 2*2
2*2 =4
Answer:
4
Step-by-step explanation:
28÷4=7
40÷4=10
12÷4=3
24÷4=6
7, 10, 3 and 6 cannot be divided by any same number.
We want to factor the following expression: (x 3)^2 14(x 3) 49(x 3) 2 14(x 3) 49(, x, plus, 3, ), squared, plus, 14, (, x, plus, 3, ), plus, 49 We can factor the expression as (U V)^2(U V) 2 (, U, plus, V, ), squared where UUU and VVV are either constant integers or single-variable expressions. 1) What are UUU and VVV
Answer:
[tex]U = x[/tex]
[tex]V=10[/tex]
Step-by-step explanation:
Given
[tex](x +3)^2 + 14(x + 3) + 49 = (U + V)^2[/tex]
Required
Find U and V
We have:
[tex](x +3)^2 + 14(x + 3) + 49 = (U + V)^2[/tex]
Expand
[tex]x^2 + 6x + 9 + 14x + 42 + 49 = (U + V)^2[/tex]
Collect like terms
[tex]x^2 + 6x + 14x + 9 + 42 + 49 = (U + V)^2[/tex]
[tex]x^2 + 20x + 100 = (U + V)^2[/tex]
Expand
[tex]x^2 + 10x + 10x + 100 = (U + V)^2[/tex]
Group
[tex][x^2 + 10x] + [10x + 100] = (U + V)^2[/tex]
Factorize each group
[tex]x[x + 10] + 10[x + 10] = (U + V)^2[/tex]
Factor out x + 10
[tex][x + 10][x + 10] = (U + V)^2[/tex]
So, we have:
[tex][x + 10]^2 = (U + V)^2[/tex]
By comparison
[tex]U = x[/tex]
[tex]V=10[/tex]
please i need your help
Answer:
x is 11
Step-by-step explanation:
[tex]{ \tt{10 + 5 + x = 26}} \\ x = 11[/tex]
Please help solve x and round all answers to the nearest tenth
Question 11 in the picture. Please help me
Answer:
hhhahah
Step-by-step explanation:
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Drag each label to the correct image. Each label can be used more than once, but not all labels will be used. A cube is a rectangular prism whose faces are all squares with sides of the same length. Match each cross section of the cube to its correct image.
Answer:
From left to right it's square square rectangle.
Please help me find the answer guys
Answer:
15%
Step-by-step explanation:
As we see, by the time one day passes, we have the amount of weeds as 1650 times 0.85 to the power of 1. We can rewrite 0.85 as 85%. That means that 1650 keeps getting multiplied by 85% to the power of as many days that have passed. 85% can be rewritten again to 1 - 15%. We can see in the equation that the population of weeds decreases by 15% as d, increases, and d is the number of days, so the population of the weeds decreases by 15% each day.
What is the quotient of es031-1?
Answer:
(x - 2)
Step-by-step explanation:
Given expression is,
[tex]\frac{x^3+3x^2-4x-12}{x^2+5x+6}[/tex]
We have to find the quotient.
x² + 5x + 6) x³ + 3x² - 4x - 12(x - 2
x³ + 5x² + 6x
-2x² - 10x - 12
-2x² - 10x - 12
0
Therefore, quotient of the given expression will be (x - 2).
Answer:
X - 2
Step-by-step explanation:
