Answer:
8/15 left
Step-by-step explanation:
Given data
We want to perform subtraction operation on fractions
Total number of water= 5/6
we are told that 3/10 are for other runners
Hence the number of water left is
=5/6-3/10
=50-18/60
=32/60
=8/15
Hence there are 8/15 left
Consider the quadratic function that has x-intercepts of–1 and –7 and passes through the point (-2,-20). What is the
value of a in the factored form of this function?
1, 2,3,4?
Which of the following relationships represents joint variation?
Answer:
y=7x
Step-by-step explanation:
that what I heard in math ok
What is the answer for 5 ?
Answer: b.
Step-by-step explanation:
PLEASE HELP- GRAPH THE INVERSE OF THE FUNCTION SHOWN BELOW.
Answer:
-1.0
Step-by-step explanation:
dont no the explanation
Given right triangle QRS, what is the value of sin(30°)?
Answer:
1/2
Step-by-step explanation:
(Is this the question? In the pic above)
Sin of an angle os the side opposite over it divided by the hypotenuse.
Sin = opposite/hypotenuse
Sin = 5/10
Sin = 1/2
Need help with math pls help.
9514 1404 393
Answer:
D
Step-by-step explanation:
Segment D seems to have a slightly steeper slope than segment C.
NEED THIS ASAP HELPPP
Answer:
Step-by-step explanation:
The answer is D 28 degrees
Please help!!
Each pair of polygons is similar. Find the value of x.
Answer in fraction form: x = 55/4
Answer in decimal form: x = 13.75
Both forms are equivalent, but they say it in a slightly different way.
===========================================================
Work Shown:
AC/QY = CD/YW
(x+5)/15 = 5/4
4(x+5) = 15*5
4x+20 = 75
4x = 75-20
4x = 55
x = 55/4
x = 13.75
------------
Explanations:
The first step is possible because the polygons are similar. Similar figures have their corresponding sides be in the same proportion or ratio. Note how side AC has the double red angle (at point A) and a single red angle (point C). The side QY has the same idea in the same order. This is why AC corresponds to QY. The ratio AC/QY is the same as CD/YW.In the second step, I plugged in the expressions that the diagram shows. This is the substitution property.On step 3, I cross multiplied. The general format is A/B = C/D cross multiplies to A*D = B*C.Compute the takt time for a system where the total time per shift is 430 minutes, there is one shift, and workers are given two 18-minute breaks and 40 minutes for lunch. Daily demand is 356 units. (Round your answer to 2 decimal places.)
Takt time = _____ minutes per cycle
The takt time for the given system, where the total time per shift is 430 minutes, there is one shift, workers have two 18-minute breaks, and 40 minutes for lunch, and the daily demand is 356 units, is 1.21 minutes per cycle.
Takt time is calculated by dividing the available production time by the customer demand. In this case, the available production time is the total time per shift minus the break and lunch times.
Total time per shift = 430 minutes
Break time = 2 breaks * 18 minutes = 36 minutes
Lunch time = 40 minutes
Available production time = Total time per shift - Break time - Lunch time
= 430 minutes - 36 minutes - 40 minutes
= 354 minutes
To calculate the takt time, we divide the available production time by the daily demand:
Takt time = Available production time / Daily demand
= 354 minutes / 356 units
≈ 0.9944 minutes per unit
Rounding the takt time to 2 decimal places, we get approximately 1.21 minutes per cycle.
Therefore, the takt time for the given system is 1.21 minutes per cycle.
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A number cube has faces numbered 1 to 6. what is true about rolling the number cube one time? select three options.
When rolling a number cube one time, there are several things that are true. Here are three options:
1. The outcome will be a whole number between 1 and 6: Since the number cube has faces numbered from 1 to 6, rolling it one time will result in one of these whole numbers.
2. Each face has an equal chance of landing face-up: The number cube is designed in such a way that each face has an equal probability of landing face-up when rolled. This means that the chances of rolling a 1, 2, 3, 4, 5, or 6 are all the same.
3. The outcome is independent of previous rolls: Rolling the number cube one time does not depend on or affect any previous rolls. Each roll is considered an independent event, so the previous outcome does not influence the next roll.
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‼️WILL MARK BRAINLIEST‼️
The theoretical probability that the coin will land tails up is 1/2 = 0.5 or 50%.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
In this problem, we have a fair coin, meaning that in any throw, the coin is equally as likely to land in one of the two outcomes, which are heads up or tails up.
Hence the probability is given as follows:
p = 1/2 = 0.5 = 50%.
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Giving brainliest! answer quickly.
The expression on the left side of an equation is shown below.
3 (x + 1) + 9 = box
If the equation has no solution, which expression can be written in the box on the other side of the equation?
Group of answer choices
2 (x + 6) + x
4(x – 3) – x
3 (x + 4)
3 (x + 1) + 9 x
Answer:
The expression "2(x + 6) + x" would make the equation unsolvable (i.e., no solution),
Step-by-step explanation:
This initially appears to be an odd question, since one might imagine that there would always be a solution for x, no matter what is put into the "box." But lets take a look and see what the possible solutions look like when compared to the original equation. First, rearrange the reference equation so that we can better compared it to the answer options:
3 (x + 1) + 9 = box
3x + 3 + 9 = box
3x + 12 = box
3(x + 4) = box
Now look through the answer options and evaluate how, or if, they may be able to prevent us from finding an actual value or x::
-------------------------
Option[Box] Reformatted Complete Equation Unsolvable?
2(x + 6) + x 3x + 12 3(x + 4) = 3x + 123x + 12 = 3x +12
0 = 0 YES*
4(x – 3) – x 11x - 12 3(x + 4) = 11x - 123x + 12 = 11x - 12
-8x = -24
x = 3 NO
3(x + 4) 3(x + 4) = (x+4)2(x+4) = 0
2x = -8
x = -4 NO
(x + 1) + 9x 10x + 1 3(x + 4) = 10x+1 3x+12 = 10x + 1 -7x = -11 x = (11/7) NO
* The YES answer means that this expression would make the answer unsolvable. Note that the expressions on both sides of the equation are equal. So there is no one answer. Any choice of a value for x will always be a valid solution. A singkle value is not possible with this equation.
what is the output when in the input is 7
Answer:
If the input is 7 then output is:-Tiny Small. Explaination: - 7 is smaller than 10 so output is tiny.
Find the slope of the line that passes through
Answer:
Slope = 5/2
Step-by-step explanation:
Slope = (y2-y1)/(x2-x1)
In this case the two points are (6,7) and (4,2)
Using the formula we find that the slope is:
slope = (2-7)/(4-6)
slope = -5/-2
The negatives cancel out and therefore the final answer or slope is 5/2.
Calculate the sum of the first 15 terms of an arithmetic progression is the one where a3= 1 and a7=7. (I need the procedure please)
Answer:
S₁₅ = 127.5
Step-by-step explanation:
the nth term of an arithmetic progression is
\(a_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
given a₃ = 1 and a₇ = 7 , then
a₁ + 2d = 1 → (1)
a₁ + 6d = 7 → (2)
subtract (1) from (2) term by term to eliminate a₁
0 + 4d = 6
4d = 6 ( divide both sides by 4 )
d = 1.5
substitute d = 1.5 into (1) and solve for a₁
a₁ + 2(1.5) = 1
a₁ + 3 = 1 ( subtract 3 from both sides )
a₁ = - 2
the sum to n terms of an arithmetic progression is
\(S_{n}\) = \(\frac{n}{2}\) [ 2a₁ + (n - 1)d ]
with a₁ = - 2 and d = 1.5 , then
S₁₅ = \(\frac{15}{2}\) [ (2 × - 2) + (14 × 1.5) ]
= 7.5(- 4 + 21)
= 7.5 × 17
= 127.5
What is the y-intercept of this graph?
Answer:
0
Step-by-step explanation:
the y-intercept is (0,0).THe equation of the graph is y=8x
Laura is a chemist working with liquids and solutions. She has two large cylindrical barrels that can hold up to 2,000 liters each. The first barrel contains 900 liters of solution, and the second barrel contains 100 liters of solution. Laura begins draining the first barrel at a rate of 36 liters per minute at the same time she begins filling the second barrel. Laura fills the second barrel with 44 liters of solution every minute. Which inequality represents the seconds, s, when the second barrel contains a greater or equal amount of solution than the first barrel?
Answer:
900 - 0.6s ≤ 100 + 0.73s
Step-by-step explanation:
The left side is the equation for the first barrel containing 900L and draining at 36L/minute. This means that it drains 0.6L/second.
The right side of the equation is for the second barrel containing 100L and filling at 44L/minute. This means that it fills at 0.73L/second.
52÷25
What is the answer :)
Answer:
2.08 this is answer
PLEASE HELP ME OUT I DONT UNDERSTAND
g(t) = t^2 - 5 f(t) = -31 - 4 Find g((-4t)
Find the surface area of the figure. Do NOT include units.
The surface area of the rectangular prism figure is S = 838 cm²
Given data ,
The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism
Surface Area of the prism = 2B + ph
So, the value of S is given by
The heights of the prism is represented as 7cm.
S = ( 11 x 20 ) + ( 7 x 20 ) + ( 4 x 20 ) + 2( 5 x 7 ) + 2( 6 x 4 ) + ( 6 x 20 ) + ( 5 x 20 ) + ( 3 x 20 )
On simplifying the equation , we get
S = 220 + 140 + 80 + 70 + 48 + 120 + 100 + 60
S = 838 cm²
Therefore , the value of S is 838 cm²
Hence , the surface area is S = 838 cm²
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Find the value of the following. P(-3,8) Q(x,4) slope=3
The possible first coordinate x with a slope of 3 is equal to -13/3.
How to calculate the slope of a line?In Mathematics, the slope of any straight line can be determined by using this mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Based on the information provided, we can logically deduce the following data points and slope on the line:
Points on x-axis = (-3, x).Points on y-axis = (8, 4).Slope = 3Substituting the given data points into the slope formula, we have the following;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
3 = (4 - 8)/(x + 3)
3x + 9 = -4
3x = -13
x = -13/3
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if you move point toward point B along BC how does m_ABC change? How do mZBAC and mZACB change? What happens to these
angles if you move point C away from point B along BC?
Answer:
i think its abc stays same, bac gets smaller, and acb gets bigger
for the second part, abc same, bac bigger, acb smaller
Step-by-step explanation:
if you picture the triangle in your head that probably would help
If we take point C closer towards point B, then ∠ABC will remain the same, the measurement of ∠BAC will decrease, and the measurement of ∠ACB will increase. Similarly, If we take point C far from point B, ∠ABC will remain the same, the measurement of ∠BAC will increase, and the measurement of ∠ACB will decrease.
What is an angle?Angle is formed by two lines or rays which have a common endpoint. Angle has two sides.
Here Given in the question that Point C is movable and it moves towards point B.
If we change the position of C nearer to point B keeping points B and A fixed in angle ∠ABC the side BC length will decrease but the gap between AB and BC will remain the same. Therefore ∠ABC will remain the same.
If we change the position of C nearer to point B keeping point B and A fixed in angle ∠BAC, point C will get closer to point B for which the gap between AB and AC will decrease. Therefore the measurement of ∠BAC will decrease.
If we change the position of C nearer to point B keeping points B and A fixed in angle ∠ACB, point C will get far from point A as point A is fixed for which the gap between AC and CB will increase. Therefore the measurement of ∠ACB will increase.
Therefore if we take point C closer towards point B, then ∠ABC will remain the same, the measurement of ∠BAC will decrease, and the measurement of ∠ACB will increase.
If we take point C far from point B, then the thing will be reversed except ∠ABC.
Therefore If we take point C far from point B, ∠ABC will remain the same, the measurement of ∠BAC will increase, and the measurement of ∠ACB will decrease.
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you deposit $3000 into an account that pays 8% compounded quarterly. how much will you have in 10 years?
Answer:
$5400 USD
Step-by-step explanation:
Investment=3,000
Interest=8% = .08
Time=10 years
([3000 x .08 x 10] + 3,000
[240 x 10] + 3,000
2,400 + 3,000= 5,400
What is the standard deviation of the data?
The graph represents the distribution of the number of
questions answered correctly on a 50-question math
test.
4
Math Test Scores
12
24
24
28
32
36
40
44
48
Answer:
Standard divation of 12 , 24 , 24 , 28 , 32 , 36 , 40 , 44 , 48
10.666666666667
Step-by-step explanation:
Will give brainliest. please help me. Select all that are equal to 6^4(6^-5). check all that apply.
A. 1/6^-1
B. 1/6
C. 6^-1
D. 1/6^1
E. 1/-6
82% of £134.18
Give your answer rounded to 2 DP
82 = 0.82 = multiplier
134.18 x 0.82 = 110.0276
= £110.03 (2.d.p)
A rainstorm in Portland, Oregon, wiped out the electricity in 7% of the households in the city. Suppose that a random sample of 50 Portland households is taken after the rainstorm.
A Estimate the number of households in the sample that lost electricity by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response.
B Quantify the uncertainty of your estimate by giving the standard deviation of the distribution.
To estimate the number of households in the sample that lost electricity, we can use the mean of the relevant distribution,
A) The relevant random variable is the number of households in the sample that lost electricity. Since we know that 7% of households in the city lost electricity, we can use this as the probability of any one household in the sample losing electricity. Therefore, the mean of the relevant distribution is:
Mean = np = 50 * 0.07 = 3.5 households
B) To find the standard deviation of the distribution, we use the formula:
Standard deviation = √(np(1-p))
where n is the sample size and p is the probability of success (in this case, the probability of a household losing electricity). Plugging in the values, we get:
Standard deviation = √(50 * 0.07 * (1 - 0.07)) = 1.51 households
Therefore, our estimate is that the sample will have an average of 3.5 households that lost electricity, with a standard deviation of 1.51 households.
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trapezoid ABCD is similar to trapezoid EFGH what is the value of M
The value of M is 4.
The value of M represents the length of the segment that connects the midpoints of the non-parallel sides of trapezoid ABCD. To find the value of M, we can use the fact that the trapezoids are similar.
Now, let's label the points where MN intersects sides BC and FG as P and Q, respectively. We can use the fact that MN is parallel to sides BC and FG to show that triangles BMP and FQN are similar to trapezoids ABCD and EFGH, respectively.
Therefore, we can write:
BM/AB = MP/CD = k
and
FQ/EF = QN/GH = k
Since we know that AB/EF = k, we can substitute this into the first equation to get:
BM/EF = MP/GH
Similarly, we can substitute FQ/EF = k into the second equation to get:
FQ/EF = QN/GH
Now, let's combine these two equations to get:
(BM + FQ)/EF = (MP + QN)/GH
But we know that BM + FQ = EF, and MP + QN = GH. Therefore, we can simplify the equation to get:
EF/EF = GH/GH
Or simply:
1 = 1
This means that our calculations are correct, and that we can use the ratio k to find the value of M. Specifically, since MN is parallel to AB and CD, we know that the length of MN is equal to half the difference between the lengths of AB and CD. Therefore, we can write:
M = (1/2)(AB - CD)/k
When we apply the values on it, then we get,
M = (1/2) (56 - 48) / 1
M = (1/2) x 8 = 4
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Which set of fractions is ordered from least to greatest?
Answer:
The answer is 7/12 , 6/8 , 4/5 from least to greatest.
Answer
7/12, 6/8, 4/5