If Ethan ran twice as far as Gavin then he ran 14 kilometers. 7*2=14. And then you add 7 to 14 which gives you 21. so they ran a total of 21 kilometers
The total distance that Gavin and Ethan ran last week is 21000 meters.
Given that, Gavin and Ethan are training for a race.
What is total?A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.
Last week, Gavin ran 7 kilometers, and Ethan ran twice as far as Gavin.
Number of kilometers Ethan ran =2×7
= 14 kilometers
= 14×1000
= 14,000 meters
Now, 7 kilometers = 7000 meters
Total =14000+7000
= 21000 meters
Therefore, the total distance that Gavin and Ethan ran last week is 21000 meters.
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DATE_
PAGE
if
I the selling
selling prices is Rs 7777 and
His loss is Rs 888 . Find the cost price of radio-
price of a radio
Answer:
The cost price of a radio is Rs 8665
Step-by-step explanation:
There is a relation between the cost price, loss amount, and the selling price.
In the loss, the cost price must be greater than the selling price.
The cost price = selling price + Loss amountIn our question:
The selling price is Rs 7777
The loss is Rs 888
We need to find the cost price
Let us use the rule above
∵ The selling price = Rs 7777
∵ The loss = Rs 888
→ Substitute them in the rule above to find the cost price
∴ The cost price = 7777 + 888
∴ The cost price = 8665
∴ The cost price of a radio is Rs 8665
There are 13 sixth grade classrooms at LMMS. Each class has about 28 students.
About how many students are there in the whole sixth grade?
Answer:
364 students
Step-by-step explanation:
multiply 13 by 28
urgent !! please help !! can someone help me with this problem and show work
Answer:
x = 7 x= -2
Step-by-step explanation:
x^2 -5x -14 =0
What 2 numbers multiply to -14 and add to -5
-7*2 = -15
-7 +2 = -5
(x-7) (x+2) =0
Using the zero product property
x-7 =0 x+2 = 0
x = 7 x= -2
Answer:
Using the snowflake method, factors that multiply to give -14 and add to give -5 are: 2 and -7.
the factors are: (x+2)(x-7)
Find the distance between
the points (3,-2) and (6,4).
Answer:
(3,6)
Step-by-step explanation:
First you find the difference between the y values.
6 - 3 = 3.
Then the x values.
4 - -2 = 6
Now form a triangle and use a^2 + b^2 = c^2
3^2 + 6^2 = x^2
9 + 36 = x^2
x = √(45), or 3√(5)
The distance is 3√(5).
Please help! I just need 1 more way !! i will mark brainliest
Answer:
f4
Step-by-step explanation:
On the diagram below, find the measure of each angle show all your work
Answer:
3
Step-by-step explanation:
from angles on a line = 180°
therefore
(14x + 70 + 20x +8)°= 180°
34x + 78 =180
34x = 180-78
34x= 102
x = 102/34
x= 3
Answer:
3
Step-by-step explanation:
!
Find the distance between the two points.
8. (-1,0), (-8, 4)
Answer:
65
Step-by-step explanation:
Lerola and her younger sister Kiara are jogging around a circular track. Lerola jogs far enough from the center of the circle that her laps are half a mile long. Kiara runs around a circle whose circumference is as long as Lerola's. How far from the center of the circle is Kiara running, in feet? Use 3.14 for pi. 3 2There are 5280 feet in a mile.
Circumference of circular track, C = 0.5 miles = 0.5×5280 feet = 2640 feet.
We know, circumference in circle is given by :
[tex]C = 2\pi r[/tex]
( Here, r is radius i.e distance of centre from track )
Putting values in above equation :
2 × 3.14 × r = 2640
6.28 × r = 2640
r = 420.38 feet
Therefore, distance between centre and track is 420.38 feet .
Hence, this is the required solution.
3 hours to clean 5 houses how many houses could be cleaned in 9 hours
Answer:
15 houses is the answer
Answer:
Let x be the no.of houses cleaned in 9 hours
3 hours 5 houses
9 hours x houses
Using cross multiplication, you get the formula:
3x = 45
x = 15
Therefore, 15 houses are cleaned in 9 hours.
Calculate the slope of the line that passes through (2,0) and (1,5).
Answer:
m= -5
Step-by-step explanation:
POINTS!! I NEED HELP WITH THIS, WILL GIVE BRAINLIEST TO BEST ANSWER
(6)
Answer:
Hypothesis: it is hot
Conclusion: It is July.
someone helppp lol.
Answer:
dam thats wat yall learn in whatever grade u r ik highter for sure but dam im scared now
Step-by-step explanation:
The volume of a cubical box is 64cm³ . What is its side?
Answer:
4 cm
Step-by-step explanation:
x = the side of a cubical box
x^3 = 64
But 4^3 also = 64
=> x = 4
Answer:
Volume of a cube = a³
64 = a³
3 root 64 = a
4 cm = a
WILL GIVE BRAINLIEST FAST!! Will Give Brainliest if you show all the steps. 8x - 6 / 2 = x + 12
Solve for X
Answer: 15/7 2 1/7
Step-by-step explanation: First divide 8x-3=x+12 Then add 3 to both sides.
8x=x+15 Subtract x from both sides. 7x=15 Then divide again so 7/7 and 15/7. If you simplify it become 2 1/7
Answer:
x = 15/7
Step-by-step explanation:
Reduce the fraction with 2
8x - 3 = x + 12
Move variable to the left-hand side and change its sign
8x - x - 3 = 12
Move constant to the right-hand side and change its sign
8x - x = 12 + 3
collect like terms
7x = 12 + 3
Add the numbers
7x = 15
Divide both sides of the equation by 7
Solution: x = 15/7
Alternate form
x = 2 1/7, x = 2.142857
Find the area of each circle.
Circumference = 407 in
Radius =
Area =
Help pls ASAP
Answer:
Answer:
- The area of the two bases is 32π in².
- The lateral area is 40π in².
- The total surface area is 72π in².
Step-by-step explanation:
there you go have a good day
What are the solutions for x when y is equal to 0 in the quadratic function
y = x2 +9x?
Answer:
C) x = 0 or x = - 9
Step-by-step explanation:
[tex]y = {x}^{2} + 9x \\ \\ plug \: y = 0 \\ 0 = {x}^{2} + 9x \\ \\ x(x + 9) = 0 \\ \\ x = 0 \: \: or \: \: x + 9 = 0 \\ \\ x = 0 \: \: or \: \: x = - 9 [/tex]
See picture for math work and answer.
Add the polynomials
(-12x^5-7x^3+12x^2+11)+(4x^3+6x^2-6x+3)
Answer:
-12x^5-3x^3+18x^2+14
Step 1: m∠m + m∠n + m∠o = 180 degrees (sum of angles of a triangle)
Step 2: m∠p − m∠o = 90 degrees (alternate interior angles)
Step 3: Therefore, m∠m + m∠n + m∠o = m∠o + m∠p
Step 4: So, m∠m + m∠n = m∠p
In which step did the student first make a mistake and how can it be corrected?
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (corresponding angles)
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles)
Step 2; it should be m∠o + m∠p = 180 degrees (alternate exterior angles)
Step 2; it should be m∠o + m∠p = 180 degrees (supplementary angles)
Answer:
they messed up on step one
Step-by-step explanation:
Answer:
Step 2; it should be m∠o + m∠p = 180 degrees (supplementary angles)
Step-by-step explanation:
Took the exam and got it right. Hope this helps! <3
What is the value of x!
What is the answer I need help ASAP
Answer:
C) 4
Step-by-step explanation:
Teacher takes about 25 minutes to make out a test for a mathematics class. How long will it take to make out tests for all five classes?
Answer:
2h 5min
Step-by-step explanation:
1 class: 25 min
5 classes: 25 x 5 = 125 min = 2h 5min
what is the solution to the system of equations graphed below?
y=x+3
y=3x+1
Answer:
(1, 4)
Step-by-step explanation:
y=x+3
y=3x+1
y=x+3
x+3=3x+1
x=3x-2
-2x=-2
x=1
y=1+3
y=4
Find the distance between the point x = (-1,9) and y = (-2,8)
Answer:
1.4
Step-by-step explanation:
use distance formula
It takes Jamil 40 minutes to drive to work, plus or minus 8 minutes depending on traffic. What equation could be solved to find the shortest or longest times she might drive?
Answer:
Step-by-step explanation:
to find the longest it would be 40+8=48
to find the shortest it would be 40-8=32
The ratio of a rectangle's length to its width
is 2 : 1. If the length is 14 cm, what is its
width?
Answer:
2/1 = 14/x
cross mulitply
2x=14
2x/2=14/2
x=7
The width is 7 cm
Step-by-step explanation:
A rock is dropped from the top of a 2000-foot building. After second, the rock is traveling feet per second. After seconds, the rock is traveling feet per second. Let y be the rate of descent and x be the number of seconds since the rock was dropped. Part A: Write a linear equation that relates time x to rate y. (Hint: Use the ordered pairs (1,32) and (2,64) ) Part B: Use this equation to determine the rate of travel of the rock 17 seconds after it was dropped.
Answer:
[tex]y = 32x[/tex]
The rate is 224 ft/s
Step-by-step explanation:
Solving (a):
Given
[tex](x_1,y_1) = (1,32)[/tex]
[tex](x_2,y_2) = (2,64)[/tex]
Required
Determine the linear equation
First, we need to determine the slope using
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{64 - 32}{2 - 1}[/tex]
[tex]m = \frac{32}{1}[/tex]
[tex]m = 32[/tex]
The equation is then calculated using:
[tex]y - y_1= m(x - x_1)[/tex]
[tex]y - 32= 32(x - 1)[/tex]
[tex]y - 32= 32x - 32[/tex]
Add 32 to both sides
[tex]y - 32 + 32= 32x - 32 + 32[/tex]
[tex]y = 32x[/tex]
Solving (b):
Given
[tex]x = 7[/tex]
Required
Determine y
We have that:
[tex]y = 32x[/tex]
Substitute 7 for x
[tex]y=32 * 7[/tex]
[tex]y=224[/tex]
Hence, the rate is 224 ft/s
Please help!! Thank you ;)
Answer:
-1/3
Step-by-step explanation:
slope is rise over run so on this one you had to count down to -2 for the rise and count to 6 then simplify to make -1/3
The slope of the line will be equal to 1 / 3. The correct option is D.
Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope of the line is the ratio of the rise to the run.
The formula to calculate the slope of the line is,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
The given coordinates of the point passing through the line are (-3,4) and (3,2).
The slope of the line will be calculated as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 4- 2 ) / ( 3 + 3 )
Slope = 2 / 6
Slope = 1 / 3
Therefore, the slope of the line will be equal to 1 / 3. The correct option is D.
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For the month of April, a checking account has a balance of $523 for 23 days, $2340 for 4 days, and $238 for 3 days. What is the account's mean daily balance for
April?
The account's mean daily balance for April is approximately $
(Round to two decimal places as needed.)
Answer:
Approximately $103.37 per day
Step-by-step explanation:
As April has 30 days, we have to add together $523, $2340, and $238 to get the total balance for the entire month. In this case, the total balance is $3101. Now, referring back to April having 30 days, $3101÷30 days=$103.366666666 a day, when rounded to two decimal places, it equals $103.37 a day. So, the account's mean daily balance for April is approximately $103.37 a day.
Hopefully the explanation and the answer helps!
The mean daily balance will be 736.77
What is weighted mean?Weighted mean is the mean where some of the value contributing more than the other values.
Weighted mean can be calculated by dividing the sum of frequencies and value by the sum of the frequencies.
weighted mean= ∑fₙxₙ/∑fₙ
where f is the frequency and x is the value.
So according to asked question,
in April, balance is in such a way that $523 for 23 days, $2340 for only 4 days, and $238 for only 3 days.
x₁=$523 , f₁=23
x₂=$2340 , f₂=4
x₃=$238 , f₃=3
weighted mean= sum of the product frequency and value/sum of frequency
= ∑fₙxₙ/∑fₙ
= ((523*23)+(2340*4)+(238*3))/(23+4+3)
=22103/30
=736.7666≅736.77
Therefore the mean daily balance will be $736.77.
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The table represents a linear function.
What is the slope of the function?
-3
-2
3
х
-2
-1
0
1
2
у
-2
1
4
7
10
The slope of the table is 2
How to determine the slope?From the table, we have the following points:
(x,y) = (0, 4) and (1,7)
The slope is then calculated as:
m = (y2 - y1)/(x2 - x1)
Substitute known values
m = (7 - 4)/(1 - 0)
Evaluate the differences
m = 3/1
Divide
m = 2
Hence, the slope of the table is 2
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hannah bought a pack of 12 cookies for $3.50 from the grocery store. how many packs of cookies can she buy for $17.50?
Answer:
60 Cookies
Step-by-step explanation:
Set up a proportion
12 / 3.50 = x/ 17.50
Cross multiply
3.5x = 210
x = 60