Russell has been training for the Emerald Valley Race. The first week he trained, he ran 5 days and took the same two routes each day. He ran 2 miles around the football field before
school and ran a longer route through his neighborhood after school. By the end of the week,
Russell had run a total of 30 miles.
Which equation can Russell use to find how many miles, x, he ran each day after school?
5x + 2 = 30
2(x + 5) = 30
5(x + 2) = 30
2x + 5 = 30
How many miles did Russell run each day after school?
Write your answer as a whole number or a simplified fraction.
miles
Answers
In maths, Distance is described as the quantity of space between two points, and further calculation can be defined as follows:
Given Expression:
[tex]5x + 2 = 30\\\\2(x + 5) = 30\\\\5(x + 2) = 30\\\\2x + 5 = 30[/tex]
To find:
distance=?
Solution:
[tex]5\ days\ \begin{cases} & \text{ if } \text{before school 2 miles} \\ & \text{ if } \text{after school x miles} \end{cases}[/tex]
[tex]\therefore 5(x+2)=30\\\\[/tex]
[tex]\bold{5(x+2)=30}\\\\\bold{5x+10=30}\\\\\bold{5x=30-10}\\\\\bold{5x=20}\\\\[/tex]
[tex]\bold{x=\frac{20}{4} }\\\\\bold{x=4}[/tex]
Therefore, the final answer is "4 miles".
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Related Questions
Translate this sentence into an equation.
135 is the product of Rick's height and 9.
Use the variable r to represent Rick's height.
Answers
Step-by-step explanation:
"product" means multiplication. the same as "times".
so,
135 = r×9
1483, 1482 is greater or less
Answers
Answer:
1483>1482
Step-by-step explanation:
1483 is bigger than 1482 by one so 1483 is bigger , it wasn’t that hard .
Suppose a basketball team had a season of games with the following characteristics:
Of all the games, 60% were at-home games. Denote this by H (the remaining were away games).
Of all the games, 25% were wins. Denote this by W (the remaining were losses).
Of all the games, 20% were at-home wins.
Of the at-home games, we are interested in finding what proportion were wins.
Which of the following probabilities do you need to find in order to determine the proportion of at-home games that were wins?
a. 0.05
b. 0.12
c. 0.15
d. 0.42
e. 0.80
Answers
correct Ans:
P(H) = 0.60
P(W | H) = P(H and W)/P(H)=
0.33
0.20/0.60
my mistake:
P(H and W) = 0.20
Set up a proportion and solve each problem. Round each answer to the nearest tenths. 5) What is 35% of 74? 6) 78 is what percent of 95? 7) Find what % of 54 is 6. 8 28 is 60% of what number?
Answers
Answer:
power rangers
power rangers
Factor 20r + 60t to identify the equivalent expressions,
Choose 2 Answers
Answers
Answer:
option D
Step-by-step explanation:
[tex]20r + 60t\\\\= (4 \times 5 \times r) + (4 \times 5 \times 3 \times t) \ \ \ \ \ [ 20 = 4 \times 5, \ 60 = 4 \times 5 \times 3] \\ \\=(20 \times r ) + ( 20\times 3 \times t)\\\\=20 \times r + 20 \times 3t\\\\= 20 \times ( r + 3t)\\\\=20( r + 3t)[/tex]
Simplify (3√5 - 5√2) (4√5 - 3√2)
Answers
Answer:
90+29√10
Step-by-step explanation:
use binomial multiplication
12(5)-9√10-20√10+15(2)
60-29√10+30
60+30-29√10
90+29√10
will averages 18 points a game and is the all-the scoring leader on his team with 483 points. Tom averages 21 points a game and is currently second on the all-time scorers list with 462 points. If both players continue to play at the same rate, how many more games will it take until Tom and Will have scored the same number of total points?
Answers
Answer:
Step-by-step explanation:
18x + 483 = 21 + 462
By solving we find
x = 7
a zoo feed its monkey a mixture of fruits and vegtables
A Monkey:30 find what is the vegatble
B vegtable 70 find whta if the fruit
Answers
Answer:
Fruits: Vegetables:
50 42
Step-by-step explanation:
According to the diagram we can get the ratio of fruits to vegetables is 5:7
1) Fruits: 30,Let's suppose the amount of veegtables is x so, 30:x=5:7⇒5x=30*7⇒x=42
2) Vegetables: 70, lets suppose the amount of fruits is y
So, y:70 = 5:7 ⇒ 7y = 70 * 5 ⇒ y = 50{ use the ratio }
Monkey Fruits Vegetables
A 30 42
B 50 70
Given the function f(x) = -5|x + 11 + 3, for what values of x is f(x) = -12?
O x= -2, x= -4
O x= -2, x = 4
O x= 2, x= 4
O x = 2, x = 4
Answers
Answer: B
Step-by-step explanation:
A store sells 6 T-shirts for $59.58. What is the unit cost per T-shirt?
Answers
Answer:
$10.00
Step-by-step explanation:
there are 6 tshirts sold and the total cost is 59.98 dollars, so you would divide 59.98 divided by 6. you would probably round because the answer would be 9.996667, rounding up would be 10.00. hope this helps a bit
don't know this one help me out ?
Answers
What is equivalent to (7^3)-2
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The given expression can be written as :
[tex](7 {}^{3} ) {}^{ - 2} [/tex][tex](7) {}^{3 \times - 2} [/tex][tex](7) {}^{ - 6} [/tex][tex] \dfrac{1}{ {(7)}^{6} } [/tex]A successful basketball player has a height of 6 feet 4 inches, or 193 cm. Based on statistics from a data set, his height converts to the z score of 2.66. How many standard deviations is his height above the mean?
Answers
Answer: 2.66 standard deviations above the mean
Explanation:
The z score directly determines how far we are from the mean. For positive z values, we are above the mean, while negative z values are below the mean.
The mean itself is z = 0
The absolute value of the z score is the distance from the score to 0. So having a z score of z = 2.66 means we are 2.66 standard deviations above the mean. Something like z = -2 means we are 2 standard deviations below the mean.
What letter comes next in this pattern A,F,L,S
Answers
solve pls brainliest
Answers
Answer:
[tex] \frac{8}{3} \: and \: \frac{5}{12} \: = \frac{1}{3} [/tex]
8 - 1, 2, 4, 8
3 - 1, 3
5 - 1, 5
12 - 1, 2, 3, 4, 6, 12
I hope it helps!3) y = 3x^2 – 17x + 10
4) y = x^2 + 2x - 9
Answers
Answer:
(3) x = 17/6 (4) y = -41/4
Step-by-step explanation:
i hope this helps u
The volume of a rectangular prism box can be represented by the function V(x) = 2x3 + 5x2 − 3x. If the height of the box is x cm, which of the following can represent the length and width of the container?
2x + 1 and x + 3
2x + 1 and x − 3
2x − 1 and x + 3
2x − 1 and x − 3
Answers
The factors which can represent the length and width of the container are; 2x − 1 and x + 3.
The Volume of a rectangular prism is a three-dimensional quantity and is the product of its length, width and height.
In essence;
Volume = l × w × h.However, V = 2x3 + 5x2 − 3x and height, h = x.
Therefore; V/h = l × w
l × w = (2x³ + 5x² - 3x)/xl × w = 2x² + 5x -3.l × w = (2x − 1) (x + 3)Consequently, the factors which can represent the length and width of the container are; 2x − 1 and x + 3.
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-2 times three sevenths
Answers
4 and 2/7 is the answer i think
Will mark BRAINELIST, please answer!
Answers
Answer:
a. D
b. C
Step-by-step explanation:
a. to find the x intercept substitute in 0 for y and solve for x. to find the y-intercept substitute in 0 for x and solve for y.
b. solve for x
Hi again, please be honest, is this correct?
Answers
No you would have to divide 8680 by 28 not multiply 8680 by 28
The answer would have been 310 inches squared
please help with this!!
Answers
Answer:
Step-by-step explanation:
12 Cost(1.779) = 74.11
Cost = 74.11 / 1.779
Cost = $41.66
Markup = 41.66(0.779) = $32.45
or
Markup = 74.11 - 41.66 = $32.45
13
Discount = 50.99 - 35.99 = $15.00
Discount rate = 15.00 / 50.99 = 29.4%
How is the distributive property used to expand expressions? Give an example.
Answers
Answer:
Distributive property is used to expand expressions by multiplying the factor to every term in the group and combining similar terms if there are any. Hope this helps!
Step-by-step explanation:
An example is...
3(x+4) + 3(y-8)
This is the same thing as...
3x + 12 + 3y -8
2. Aimee lives 4/5 of a mile from
the park. She has walked 2/3 of
the way to the park. How far has
Aimee walked?
Answers
Answer:
[tex]\frac{8}{15}[/tex] of a mile
Step-by-step explanation:
To find a segment of a fraction, you must first find the LCM of each value's denominator:
LCM - Lowest Common Multiple
The lowest common multiple is the number that shows up first in each number's multiple set.
Example: LCM of 4 and 6
Multiples of 4: 4, 8, 12, 16, 20
Multiples of 6: 6, 12, 18, 24, 30
Because 12 is the first number to show up in each multiple set, 12 is the LCM.
So, to be able to solve this problem easy, do the same with 5 and 3:
5, 10, 15, 20, 25
3, 6, 9, 12, 15
Since 15 is the first number in both sets, 15 is the LCM.
The next step is to multiply [tex]\frac{4}{5}[/tex] by [tex]\frac{x}{x}[/tex], x being the value that can be multiplied with the denominator to equal 15:
[tex]\frac{4}{5}[/tex] × [tex]\frac{3}{3}[/tex] = [tex]\frac{12}{15}[/tex]
To find how much [tex]\frac{2}{3}[/tex] of [tex]\frac{12}{15}[/tex] is, multiply the fractions together:
[tex]\frac{12}{15}[/tex] × [tex]\frac{2}{3}[/tex] = [tex]\frac{24}{45}[/tex]
Simplify the fraction by dividing the numerator and denominator by 3.
[tex]\frac{24}{45}[/tex] ÷ [tex]\frac{3}{3}[/tex] = [tex]\frac{8}{15}[/tex]
Because the fraction can't be simplified any further, Aimee has walked a total of [tex]\frac{8}{15}[/tex] of a mile.
1
You are running a fuel economy study. One of the cars you find is blue. It can travel 383 miles on
1
3
4
1-
gallons of gasoline. Another car is red. It can travel 255
miles on
4
gallon of gasoline. What is
5
the unit rate for miles per gallon for each car? Which car could travel the greater distance on
1 gallon of gasoline?
The unit rate for the blue car is mile(s) per gallon.
(Simplify your answer. Type an integer, proper fraction, or mixed number.)
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The answer t^{}
o your question is i^{}
n the file
In a survey of 1020 adults in the manila 44% said that they wash their hands after riding public transportation.
a. Identify the sample and population
B. Is the value of 44% a statistic or parameter?
C. What is the level of measurement of the value of 44%
D. Are the numbers of subjects in such surveys discrete or continuous?
Answers
Answer:
csihshx8wnwisnjxieei9wjw9ejd9jfie
What number has 6 hundred thousands, 9 ten thousands, 7 thousands, 6 hundreds, 5 tens, and 2 ones?
Answers
Answer:
Step-by-step explanation:
600000
90000
7000
600
50
2
=697652
What is 1.6 to the power of 3?
Answers
Answer:
4.096
Step-by-step explanation:
Use a calculator or do (1.6)(1.6)(1.6)
What is the constant of variation for the quadratic variation?
Two row table. First row head is x. First row data are two, three, four, five, six. Second row head is f(x). Second row data are twenty-eight, sixty-three, one hundred twelve, one hundred seventy-five, two hundred fifty-two.
7
14
21
35
Answers
Answer:
35
Step-by-step explanation:
x=35
y=7
An inverted pyramid is being filled with water at a constant rate of 70 cubic
centimeters per second. The pyramid, at the top, has the shape of a square
with sides of length 6 cm, and the height is 13 cm.
Find the rate at which the water level is rising when the water level is 3 cm.
cm/sec
Answers
Rates of change are the change of a quantity over another.
The rate of change in height of the water level is 36.51 cm per second.
Let the length of the top square be s, and the height be h.
The volume of the pyramid is:
[tex]\mathbf{V = \frac{1}{3}s^2h}[/tex]
At time t, we have:
[tex]\mathbf{V = \frac{1}{3}s(t)^2h(t)}[/tex]
The relationship between the side length and height is:
[tex]\mathbf{s : h=6 : 13}[/tex]
Express as fractions
[tex]\mathbf{\frac{s }{ h}=\frac{6 }{ 13}}[/tex]
Make s the subject
[tex]\mathbf{s=\frac{6 }{ 13}h}[/tex]
So, we have:
[tex]\mathbf{V = \frac{1}{3}s^2(t)h(t)}[/tex]
[tex]\mathbf{V = \frac{1}{3} \times (\frac{6 }{ 13}h(t))^2 \times h(t)}[/tex]
[tex]\mathbf{V = \frac{1}{3} \times \frac{36}{ 169}h^2(t) \times h(t)}[/tex]
[tex]\mathbf{V = \frac{1}{3} \times \frac{36}{ 169}h^3(t)}[/tex]
Differentiate
[tex]\mathbf{V'(t) =3 \times \frac{1}{3} \times \frac{36}{ 169}h^2(t) \times h'(t)}[/tex]
[tex]\mathbf{V'(t) =\frac{36}{ 169}h^2(t) \times h'(t)}[/tex]
Make h'(t) the subject
[tex]\mathbf{h'(t) = \frac{169 \times V'(t)}{36 \times h^2(t)}}[/tex]
The water level rises constantly at 70 cm^3/s, and the water level is 3 cm.
So, we have:
[tex]\mathbf{V'(t) = 70}[/tex]
[tex]\mathbf{h(t) = 3}[/tex]
[tex]\mathbf{h'(t) = \frac{169 \times V'(t)}{36 \times h^2(t)}}[/tex] becomes
[tex]\mathbf{h'(t) = \frac{169 \times 70}{36 \times 3^2}}[/tex]
[tex]\mathbf{h'(t) = \frac{169 \times 70}{36 \times 9}}[/tex]
[tex]\mathbf{h'(t) = 36.51}[/tex]
Hence, the rate of change in height of the water level is 36.51 cm per second.
Read more about rates at:
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What is the median for the data shown below?
S= [110, 105, 126, 65, 134, 102, 78, 80, 119, 67, 88]
Answers
Answer:
102
Step-by-step explanation:
The median of a data set is found by putting the data set in ascending numerical order and identifying the middle number. If there are an odd number of data values in the data set, the median is a single number. If there are an even number of data values in the data set, the median is the average of the two middle numbers. Sorting the data set for the values entered above we have:
65 , 67 , 78 , 80 , 88 , 102 , 105 , 110 ,119 , 126 , 134
Since there is an odd number of data values in this data set, there is only one middle number. With 11 data values, the middle number is the data value at position 6. Therefore, the median is 102.
Answer:
102
Step-by-step explanation:
1. The median is the quantity that's in the middle of a data set.
2. First, we have to arrange the given data set from least to greatest:
65, 67, 78, 80, 88, 102, 105, 110, 119, 126, 1343. Now, when we try and locate the middle number, we can see that the number is 102.
Therefore, the median is 102.