First, let's find Maura's running speed by using the information that Carlos runs at a rate that is 25% slower than Maura's rate. If Carlos runs at a rate of 6 miles per hour, then Maura runs at a rate of 6 * 1.25 = 7.5 miles per hour.
How to calculate time?Next, let's calculate how long it takes for Carlos to finish the marathon. We know that Carlos runs at a rate of 6 miles per hour and the marathon is 26 miles long. So we can use the formula:
time = distance/rate
time = 26/6
time = 4.33 hours
Now let's find how long it takes for Maura to finish the marathon. We know that Maura runs at a rate of 7.5 miles per hour and the marathon is 26 miles long. So we can use the formula again:
time = 26/7.5
time = 3.47 hours
Finally, let's convert Jacob's time of 2 hours and 36 minutes to hours. We can use the formula:
time = 2 + (36/60)
time = 2 + 0.6
time = 2.6 hours
In conclusion, Carlos takes 4.33 hours, Maura takes 3.47 hours and Jacob takes 2.6 hours to finish the marathon.
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y is inversely proportional to x
when y = 7, x = 9
a) work out an equation connecting y and x
b) work out the value of y when x = 21
The equation connecting y and x is y = 63/x and the value of y when x =21 is 3
a) work out an equation connecting y and xFrom the question, we have the following parameters that can be used in our computation:
Variation = inverse variation
y = 7, x = 9
An inverse variation is represented as
k = xy
Where k is the constant of proportion
Substitute the known values in the above equation, so, we have the following representation
k = 7 * 9
Evaluate
k = 63
So, we have the following representation
xy = 63
Make y the subject
y = 63/x
b) work out the value of y when x = 21Substitute the known values in the above equation, so, we have the following representation
y = 63/21
Evaluate
y = 3
Hence, the solution is 3
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points A and B are shown on a coordinate plane
point A is at (-8, 6) point B is at (-2, -2)
What is the length of AB and the coordinates of its midpoint?
AB= __ units
the midpoint of AB is (_,_)
The length of AB would be = 10 units and the midpoint of segment AB would be (-5, 2).
What are the distance formula and midpoint of a segment?
The distance formula is a mathematical formula that can be used to determine the distance between two points in a coordinate plane. The distance between two points (x1, y1) and (x2, y2) is given by the formula:
[tex]d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
The midpoint of a segment is a point that is exactly in the middle of a line segment. Given the endpoints of the line segment, (x1, y1) and (x2, y2) the coordinates of the midpoint, (x, y) can be calculated using the following formulas:
x = (x1 + x2) / 2
y = (y1 + y2) / 2
The given points are (-8, 6) and (-2, -2).
Given two points A(x1, y1) = (-8, 6) and B(x2, y2) = (-2, -2), we can use the distance formula to find the length of the line segment AB. The distance formula is:
[tex]d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}\\\\d= \sqrt{((-2) - (-8))^2 + ((-2) - (6))^2}\\\\d=\sqrt{36 + 64}\\\\d=\sqrt{100}\\\\d=10[/tex]
The length of AB would be 10.
To find the coordinates of the midpoint of AB, we can use the midpoint formula:
x = (x1 + x2) / 2
y = (y1 + y2) / 2
Plugging in the values for A and B, we get:
x = (-8 + (-2)) / 2 = -5
y = (6 + (-2)) / 2 = 2
The coordinates of the midpoint of AB are (-5, 2).
Hence, the length of AB would be = 10 units and the midpoint of segment AB would be (-5, 2).
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Which is 70% of 2,000?
A.14
B.70
C.140
D.700
E.1400
Answer:
Option E) 1400
Step-by-step explanation:
Based on the given conditions, formulate: 70‰ x 2000
Convert the percentage to decimals: 0.7 x 2000
Calculate the product or quotient: 1400
Hence , the answer is 1400
julio has 13 red marbles 4 blue mables and 8 yellow marbles julio draws a marble out of the bag 100 times how many time out of 100 can julio expect a blue marble
Answer:
16 times
Step-by-step explanation:
13 + 4 +8 = 25 total marbles
(4 is total number of blue marbles, 25 is complete total of marbles)
4/25 times = ?/100 times
Because 25 times 4 is equal to 100, you then multiply 4 by 4 to get 16
16/100 times
A stew recipe uses 3 teaspoons of salt for every 4 cups of water.
Complete the table to show the relationship between the amounts of salt and water in the stew recipe. Enter a number in each box.
Can someone please help me quickly!! And also let me know if I got the first 2 correct
The amount of salt in 3/4 tablespoons is four times that of 3 tablespoons.
What is the amount of salt?A stew recipe uses 3 teaspoons of salt for every 4 cups of water.
There is a ratio issue here.
As X is to three, 3 is to 4.
3 : 4 :: X : 3
To eliminate the fractions, multiply each integer in the ratio by 12.
9 : 12 :: 9X : 12
This is a portion of what is
9 / 12 = 9X / 12
to obtain, cross-multiply.
9 / 12 = 3 teaspoons of salt,
Check: 3 cup of flour yields 3 cups, which is a 4x increase.
The amount of salt in 9/12 tablespoons is four times that of 3 tablespoons.
The amount of salt in 3/4 tablespoons is four times that of 3 tablespoons.
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Christopher measured a line to be 12.2 inches long. If the actual length of the line is 12.1 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
If Christopher measured a line to be 12.2 inches long. If the actual length of the line is 12.1 inches, the percent error of the measurement, to the nearest tenth of a percent is: 0.83%.
How to find the percent error?Using this formula to find the percent error
Percent error = Measurement - Actual length / Actual length
Let plug in the formula
Percent error = 12.2 - 12.1 / 12.1
Percent error = 0.1 /12.1
Percent error = 0.0083 or 0.83%
Therefore we can conclude that the percent error is 0.83%.
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Sixteen high school students completed a math exam, but only 12 students received a passing grade. Which expression represents the ratio of passing grades to failing grades?
Answer:
4:3 that's the answer
for the question
Answer:
4:3 is the correct answer
Step-by-step explanation:
The total students that took the exam is 16 but the students that passed are only 12 the ratio that represent it is remember ratio means division so is 16/12 which one / 4 will give you for over 3 as a correct answer
the mass liquid having a density of 1.40 g and a
volume of 3090 ml
The mass of the liquid is 4326 grams.
How to find the mass of a liquid?The liquid has a density of 1.40 g/ml and the volume of the liquid is 3090 ml. Therefore, the mass of the liquid can be calculated as follows:
The density of a liquid is a measure of how heavy it is for the amount measured. The liquid density is defined as its mass per unit volume.
Therefore,]
density = mass / volume
cross multiply
mass = density × volume
density = 1.40 g/ml
volume = 3090
Therefore,
mass of the liquid = 1.40 × 3090
mass of the liquid = 4326 grams.
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So i am trying to help out my son with his homework and i do not remember this at all if anyone could help me it would greatly be appreciated
Answer:51x900/100
Step-by-step explanation:
So you’ll do 51 x 900
And then at the denominator when there is no number it is automatically 1 so the denominator will be 100.
The surface area of a rectangular prism is 400m ^ 2 . What will be the new surface area if all of the dimensions are doubled ?
Six different students went to a used book sale. They recorded the prices of the books that they bought and created the dot plots below. Each X represents 1 book. Which of the following dot plots report a purchase of 8 books? Select all that apply.
Answer:
Options 3, 4, and 5
Step-by-step explanation:
just count the x's.
If it equals 8, then its correct
Need help ASAP!! Plssss
Answer: b that is too easy
Step-by-step explanation:
A 1050-kg car travels on the freeway at a speed of 33 m/s. What is the cars kinetic energy ?
9514 1404 393
Answer:
571,725 J
Step-by-step explanation:
KE = 1/2mv²
KE = 1/2(1050 kg)(33 m/s)² = 571,725 J
Determine which solution is correct for solving StartFraction 5 over 7 EndFraction y = 6using reciprocals.
Given:
The equation is:
[tex]\dfrac{5}{7}y=6[/tex]
To find:
The solution of the given equation by using the reciprocals.
Solution:
We have,
[tex]\dfrac{5}{7}y=6[/tex]
We need to multiply both sides by the reciprocal of [tex]\dfrac{5}{7}[/tex] to isolate the variable x.
The reciprocal of [tex]\dfrac{5}{7}[/tex] is [tex]\dfrac{7}{5}[/tex]. So, multiplying both sides by [tex]\dfrac{7}{5}[/tex], we get
[tex]\dfrac{5}{7}y\times \dfrac{7}{5}=6\times \dfrac{7}{5}[/tex]
[tex]y=\dfrac{42}{5}[/tex]
[tex]y=8.4[/tex]
Therefore, the value of y is 8.4.
Answer:
42/5
Step-by-step explanation:
9. Marcus vegetable is drawing a plan for his garden. He graphs one corner at (-7.2, 2). He reflects (-7.2, 2) across the x-axis. Then Marcus reflects the new points across the y-axis. What shape is the vegetable garden?
Answer: To reflect a point across the x-axis, you need to change the sign of the y-coordinate. Therefore, the point (-7.2, 2) reflected across the x-axis becomes (-7.2, -2).
To reflect a point across the y-axis, you need to change the sign of the x-coordinate. Therefore, the point (-7.2, -2) reflected across the y-axis becomes (7.2, -2).
The resulting shape is a rectangle with one corner at (-7.2, 2) and the opposite corner at (7.2, -2).
Step-by-step explanation:
Fill in the missing part of the proportion.
GH
C. CD
B. HI
A. GF
Step-by-step explanation:
the answer is GH, the can be the only answer
I really need help on this question offering 10 points if anybody could help me with this with proof I'd be very thankful
Answer:
n=15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
First off we divide both sides by [tex]\frac{1}{5}[/tex] and get:
[tex]\frac{1}{5}[/tex]n÷ [tex]\frac{1}{5}[/tex]=3÷ [tex]\frac{1}{5}[/tex]
n=3×5
n=15
Convert 13
12
from radians to
degrees.
Answer:
195°
Step-by-step explanation:
How many cubed with side lengths 1/2 cm does it take to fill the prisim?
Joe is using the function E= 1.89x + 2.89y to minimize his expenses when selling
markers and erasers. He has the following
constraints.
2x + y > 10
x + 2y > 8
X>0
y >
What is the minimum value of E?
$28.90
$9.45
$15.12
$13.34
Answer:
[tex](d)\ \$13.34[/tex]
Step-by-step explanation:
Given
[tex]E = 1.89x + 2.89y[/tex] -- Objective function
Constraints:
[tex]2x + y > 10[/tex]
[tex]x + 2y > 8[/tex]
[tex]x,y>0[/tex]
Required
Minimum value of E
To do this, we apply graphical method
See attachment for plots of [tex]2x + y > 10[/tex] and [tex]x + 2y > 8[/tex]
From the attached plot, the point that satisfy [tex]x,y>0[/tex] is:
[tex](x,y) = (4,2)[/tex]
So, we have:
[tex]E = 1.89x + 2.89y[/tex]
This gives:
[tex]E =1.89 * 4 + 2.89 * 2[/tex]
[tex]E =7.56 + 5.78[/tex]
[tex]E =13.34[/tex]
Every time an insect jump forward the distance covered is half of previous jump. if the insect initially jumped 8.4cm calculate to the nearest two decimal places distance of sixth jump
The distance that he jumped in the sixth jump nearest to two decimal places will be 0.13.
What is a geometric sequence?Let a₁ be the first term and r be the common ratio.
Then the nth term of the geometric sequence is given as,
aₙ = a₁ · (r)ⁿ⁻¹
Every time an insect jump forward, the distance covered is half of the previous jump. If the insect initially jumped 8.4 cm.
The equation is given as,
aₙ = 8.4 · (1/2)ⁿ⁻¹
The distance that he jumped in the sixth jump will be given as,
a₆ = 8.4 · (1/2)⁶⁻¹
a₆ = 8.4 / 64
a₆ = 0.13125
a₆ ≈ 0.13
The distance that he jumped in the sixth jump nearest to two decimal places will be 0.13.
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how many solutions are on this graph
Answer:
3
Step-by-step explanation:
Explain step by step please thank you!
The ratio of teachers to students in a school district is 2 to 47. The number of teachers in the district is 130, how many students are there?
Answer:
Number of students in district = 3,055 students
Step-by-step explanation:
Given:
Ratio [Teachers to students] = 2 : 47
Total number of teachers in district = 130
Find:
Number of students in district
Computation:
Number of students in district = Total number of teachers in district[47/2]
Number of students in district = 130[47/2]
Number of students in district = 65[47]
Number of students in district = 3,055 students
What is 6,789,694,976 x 9,452,569,132
*Can not use calculator
The product of the given numbers can be represented in a scientific notation form as = 6418 × 10^19 (approximately)
What is multiplication?Multiplication can be defined as the repeated addition of a given value with the purpose of arriving to an expected value.
The multiplication of two given numbers is the same thing as the products of the given number and it's represented by the sign (X)
The product of 6,789,694,976 x 9,452,569,132 = 6418 × 10^19
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If BD = 8x - 27 and EC = 2x + 33, find BD.
a movie theater has 24 screens. ration of action to other films is 1:2. How many action films are currently showing
Answer: 12
Step-by-step explanation: Because of the ratio we know that half of the screens will be showing action films. Half of 24 is 12, so 12 screens will be playing action.
The box plots show the target heart rates of men 20-40 years old and men 50-70 years old.
Target Heart Rates of Men
20-40 years old
50-70 years old
Which statement is best supported by the information in the box plots?
A )
The range of the data for men 20-40 years old is less than the range of the data for men
50-70 years old.
B )
The median of the data for men 20-40 years old is less than the median of the data for
men 50-70 years old.
C )
The minimum target heart rate for men 20-40 years old is less than the minimum target
heart rate for men 50-70 years old.
D )
The interquartile range of the data for men 20-40 years old is greater than the
interquartile range of the data for men 50-70 years old.
Answer:
anong ka pong grade?
Step-by-step explanation:
matanong ko Lang!
Which statement could most likely be a description of the org
expression 12 - 3x ?
a. The amount of money, in dollars, Eloise is left with, if she had
$12 and with that, she bought x + 3 flowers.
b. The amount of money, in dollars, Eloise is left with, if she had
$12 and with that, she bought 3x flowers.
c. The amount of money, in dollars, Eloise is left with, if she had
$3 and with that, she bought 12 flowers at $x each.
The amount of money, in dollars, Eloise is left with, if she had
$12 and with that, she bought x flowers at $3 each
Please help, no links
Answer:
m<1=90°
m<2=38°
hope this helps
Does the table below represent a proportional relationship?
A. Yes, because all the ratios of y to x are equal to 2.
B. Yes, because all the ratios of y to x are equal to 3.
C. No, because all the ratios of y to x are not equal.
D. No, because all the numbers are positive.
The table represents a proportional relationship because all the ratios of y to x are equal to 3. (option B)
What is a proportional relationship?Two variables exhibit a proportional relationship if the constant of proportionality remains constant for all the given values in the table.
The equation that is used to represent a proportional relationship is:
y = kx
Where:
k = constant of proportionality
Value of k when x is 1:
3 = k
Value of k when x is 2:
6 = 2k
k = 6 / 2
k = 3
Value of k when x is 3:
9 = 3k
k = 9 / 3
k = 3
Value of k when x is 4:
12 = 4k
k = 12 / 4
k = 3
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