Answer:
2.5x + 5y = 12.5
Step-by-step explanation:
The solution is 2.5x + 5y = 12.5
The equation representing the total distance by the participant who runs and walks is given by 2.5x + 5y = 12.5 where x is the time required to walk and y is the time required to run
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given by
The total distance ran by the marathon participant = 12.5 miles
Let the time taken by the participant to walk be = x
Let the time taken by the participant to run be = y
Now , the speed of the participant when walking = 2.5 miles per hour
The speed of the participant when running = 5 miles per hour
So , the equation will be
The distance traveled when walking = speed of the participant when walking x time taken by the participant to walk
Substituting the values in the equation , we get
The distance traveled when walking = 2.5x
And ,
The distance traveled when running = speed of the participant when running x time taken by the participant to run
Substituting the values in the equation , we get
The distance traveled when running = 5y
Now ,
The total distance ran by the marathon participant = The distance traveled when walking + The distance traveled when running
Substituting the values in the equation , we get
2.5x + 5y = 12.5
Therefore , the equation will be 2.5x + 5y = 12.5
Hence , the equation is 2.5x + 5y = 12.5 where x is the time required to walk and y is the time required to run
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Help me please guys .
What is the answer?
4.3
4.2
4.1
4.4
Plz guys help me plz
Answer:
B
Step-by-step explanation:
✔️Rate of change using two points on the line, say (2, 60) and (3, 75);
Rate of change (m) = ∆y\/∆x = (75 - 60) / (3 - 2) = 15/1
Rate of change = 15
This means each class costs $15
✔️Initial value is the y-intercept (b). It represents the initial start-up fee.
To find initial value/y-intercept (b), substitute m = 15 and (x, y) = (2, 60) into y = mx + b.
Thus:
60 = 15(2) + b
60 = 30 + b
60 - 30 = b
30 = b
b = 30
Therefore, initial start-up fee is $30.
88% of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 72% have an emergency locator, whereas 86% of the aircraft not discovered do not have such a locator. Suppose a light aircraft has disappeared.
A) If it has an emergency locator, what is the probability that it will not be discovered?B) If it does not have an emergency locator, what is the probability that it will be discovered?C) If we consider 10 light aircraft that disappeared in flight with an emergency recorder, what isthe probability that 7 of them are discovered?
Answer:
a) [tex]P(D'/L)=0.03[/tex]
b) [tex]P(D/L')=0.7[/tex]
Step-by-step explanation:
From the question we are told that
Probability of discovered [tex]P(D)=0.88[/tex]
Probability of aircraft with locator [tex]P(L/D)=0.72[/tex]
Probability of lost aircraft without locator [tex]P(L'/D')=0.86[/tex]
Generally the probability that aircraft are not discovered is mathematically given as
[tex]P(D')=1-0.88[/tex]
[tex]P(D')=0.12[/tex]
Generally the probability that aircraft with locator are discovered is mathematically given as
[tex]P(L'/D)=1-0.72[/tex]
[tex]P(L'/D)=0.28[/tex]
Generally the Probability of lost aircraft without locator mathematically given as
[tex]P(L/D')=1-0.86[/tex]
[tex]P(L/D')=0.14[/tex]
Generally the Probability of having a locator mathematically given as
[tex]P(L)=P(L/D)*P(D)+P(L/D')*P(D')[/tex]
[tex]P(L)=0.72*0.88+0.14 *0.12[/tex]
[tex]P(L)=0.6504[/tex]
a)Generally the Probability of getting lost even with locator mathematically given as
[tex]P(D'/L)=\frac{P(L/D')(P(D')}{P(L)}[/tex]
[tex]P(D'/L)=\frac{0.14*0.12}{0.6504}[/tex]
[tex]P(D'/L)=0.0258302583[/tex]
[tex]P(D'/L)=0.03[/tex]
b)Generally the Probability of getting lost even with locator mathematically given as
[tex]P(D/L')=\frac{P(L'/D)(P(D)}{P(L')}[/tex]
[tex]P(D/L')=\frac{0.28*0.88}{1-0.6504}[/tex]
[tex]P(D/L')=0.704805492[/tex]
[tex]P(D/L')=0.7[/tex]
What is the product?
0.4 x 0.6
0.024
0.24
2.4
24.0
i need help asap due tonight
Answer:
The top right one 3(x+4)=30
Step-by-step explanation:
Answer:
The answer should be the one on the top right.
Step-by-step explanation:
So we know that the whole entire model equals 30, and each of the three sections are s+4. So, in order to get 30, the equation has to have something to do with three times s+4. We can eliminate the one on the top left because the model does not have a 12 involved. We can also eliminate the bottom left because it only represents one of the three s+4s. The bottom right can be taken off because the 3 in that equation is only multiplied to s, and not s+4. The top right works because it is saying that s+4 multiplied by 3 times is equal to 30. There you go! I hope this helps❤️
What is the constant of proplity?
O 0.75
O 0.8
01.25
O 1.5
Round 138.867545518 to 4 decimal places.
The Answer will be 138.8675
Carrie is 36 years old. She has worked in the same store for 12 years. Today, she had 63 customers. How old was Carrie when she began working in the store?
A. 24
B. 27
C. 48
D. 51
Answer:
A. 24
Step-by-step explanation:
What are the next three terms in the following sequence 3 6 12 24 plz help
Answer:
3 6 12 24 48 96 192
Step-by-step explanation:
The answer is 48 96 192
Answer:it equals 96 hope this helps
Step-by-step explanation:
what is the slope of a line that passes through the point (3,29.25)
Answer:
The slope is 9 3/4 or 9.75
Step-by-step explanation:
slope= rise/run or y/x
29.25/3=9.75 or 9 3/4
There
are five marbles in
a bag. Three are green and
two are yellow. You draw a
marble, replace it, and then
Draw another. What is the
probability of choosing two
yellow marbles?
Answer:
like 20 percent
can anyone help me and explain
Answer:
so all you have to do is graph the linear equation of y=3x+0. But, the greater than or equals to sign tells us to make a solid line and shade above
result:
Step-by-step explanation:
Write an equation of the line passing through the given points.
(3,-25) and (-3,5)
y=
Answer:
y = -5x -10
Step-by-step explanation:
This is the slope-intercept form:
[tex]y-y_{1} = m(x -x_{1})[/tex]
First, we look for the slope. The slope is found by using the equation:
[tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1}}[/tex]
[tex]m = \frac{5 - (-25)}{-3 - 3} = \frac{30}{-6} = -5[/tex]
m = -5.
Now, given the two points, our y₁ is -25, and our x₁ is 3. Therefore, we substitute these values into the equation, and get:
y - (-25) = -5(x - 3)
y + 25 = -5(x - 3)
y + 25 = -5x + 15
y = -5x + 15 -25
y = -5x -10
Answer:
the answer to the problem is y= -5x - 10
What is a sum of 1/2 and 3/10 in simplest from
Answer:
4/5
Step-by-step explanation:
1/2=5/10
5/10+3/10=8/10
simplified or 8/10 divided by 2 =4/5 and u cant simplify it anymore
Answer:
4/5
Step-by-step explanation:
convert 1/2 to 5/10 then and 3/10 then simplify and you get 4/5
A pet store has 9 puppies, including 2 poodles, 2 terriers, and 5 retrievers. If Rebecka and Aaron, in that order, each select one puppy at random with replacement (they may both select the same one), find the probability that Rebecka selects a terrier and Aaron selects a retriever.
Answer:
5/162
Step-by-step explanation:
Probability of getting terrier = 2/18 = 1/9
Probability of getting retriever = 5/18
5/18 x 1/9 = 5/162
Hope that helps!
What does circumference mean?
Distance around a circle
Space a circle takes up
Line from one side of a circle to another
Line from center of circle to side
If 4/5 of comcrete covers 5/6 of a bridge, how many tons if concrete is required to cover the entire bridge
Answer:
Write and solve an equation of proportions:
Step-by-step explanation:
4/5 ton 5/6 bridge
-------------- = ------------------
x 1 bridge
Then (4/5) * (1 bridge) = (5/6 bridge)x.
Solve this for x by mult. both sides of the equation by 6/5:
(6/5)(4/5) = x
24/25 tons of concrete are needed to complete the entire bridge.
It takes Josephine 60 minutes to walk 7 1/2 blocks.At This Rate How Many Blocks Can He Walk In 4 Hours.
Answer:
30 blocks
Step-by-step explanation:
60 minutes = 1 hour
For one hour, she will walk 7.5 blocks.
The rate is 7.5blocks per hour.
Multiply this by 4 hours, and you will get 30 blocks.
(7.5)4 = 30
out of 75/6 is 72%. (Write as a fraction in simplest form.)
Answer:22%
Step-by-step explanation:
The simplest form of the total of 75/6 would be 432 / 7500.
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100. Suppose the value of which a thing is expressed in percentage is "a' Suppose the percent that considered thing is of "a" is b%
Then the percent; per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Given that out of 75/6 is 72%.
Therefore, it will be written as;
x of 75/6 = 72%.
We need to find the value of total x.
x of 75/6 = 72%.
x × 75/6 = 72%
x × 75/6 = 72/100
Cross multiplication;
x = 72/100 × 6/75
x = 432 / 7500
x = 0.0576
Hence, the simplest form of the total of 75/6 would be 432 / 7500.
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Work out
3/8 x 11
Give your answer as a mixed number.
Answer:
4.125 in decimal form and 4 1/8 in simplified fraction form
Step-by-step explanation:
The value of multiplication of an improper fraction 3/8 and a whole number 11 as a mixed number is 4 1/8.
To calculate 3/8 × 11 as a mixed number, we can follow these steps:
Step - 1:
Multiply the whole number by the numerator of the fraction:
11 × 3 = 33
Step - 2:
Divide the result by the denominator of the fraction:
33 ÷ 8 = 4 with a remainder of 1
Step - 3:
The whole number part of the mixed number is the quotient from the division:
The whole number part is 4.
Step - 4:
The fractional part of the mixed number is the remainder divided by the original denominator:
The fractional part is 1/8.
Therefore, the answer to 3/8 × 11 as a mixed number is 4 1/8.
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plzzzzzzzz tell fast
100 people went to a picnic. 32 people got sick with food poisoning. The Public HealthDepartment narrowed it down to either the chicken salad or the cream pie. They determined that80 people ate chicken salad, 75 people ate cream pie, 33 people ate chicken salad cream pie anddid not get sick, 5 ate neither food and did not get sick, 40% of the people who ate chicken saladgot sick, and 36% of the people who are cream pie got sick. Was it the chicken salad or thecream pie
Answer:
It was the chicken salad.
Step-by-step explanation:
If you multiply each amount of people that ate one or the other and how many got sick, you get:
Chicken salad: 32
Cream pie: 27
And 32 people got sick so it must be the chicken salad.
What is the y intercept of the line?
-3
-1
4
2
Answer:
2
Step-by-step explanation:
On a roulette wheel, half of the slots numbered 1 through 36 are red and half are black. Two slots numbered 0 and 00, are green. What are the odds against a ball landing in a red slot on any spin of the wheel? I'm also having a hard time on this please help me!!!! :(
Answer:
Two slots, numbered 0 and 00, are green.
What are the odds against a red slot's coming up on any spin of the wheel?
Step-by-step explanation:
Solve for n. 35 = 9n - 10
Please don’t put a random answer for points.
Answer:
5
Step-by-step explanation:
First, you would add 10 to both sides to get 45 = 9n. Then, you would divide both sides by 9 to get n = 5. I hope this helps :)
Answer:
n = 5
Step-by-step explanation:
35 = 9n - 10
First, add 10 to each side.
35 + 10 = 9n - 10 + 10
45 = 9n
Divide both sides by 9
9n/9 = 45/9
n = 5
Hope this helps! Feel free to ask any questions
At the organic produce store you can buy 3 bags of sweet potatoes for $20.07.
How much would it cost if you were to buy only 2 bags.
Answer:
$13.38
Step-by-step explanation:
Use proportions to solve this problem:
$20.07 / 3 bags = X / 2 bags
multiply both sides by "2 bags" to isolate the unknown X
$20.07 * 2 / 3 = X
Therefore, X = $13.38
X^2- 2x - 54 = 0
I need the answer to this please
x = 1 + √ 55 , 1 − √ 55 or
x = 8.41619848 , − 6.41619848
Dufrane buys a new pair of shoes that costs him $186 where the sales tax rate is 7.3%.
What is the total amount he paid after taxes? Round to two decimal places.
Answer:
$199.58
Step-by-step explanation:
$186 x 0.0730 = 13.578
13.578 + 186 = $199.57
How do I turn 42-5=37 into 42=37+5?
Answer:
You move the -5 to the other side.
Answer:
you move the -5 to the other side equation
What is the value of x?
Enter your answer in the box.
Answer:
136
Step-by-step explanation:
68 * 2 = 136