To determine how much Horatio and Kimberly weigh, we can set up a system of equations based on the given information. Kimberly weighs 23.75 kilograms and Horatio weighs 71.25 kilograms.
Explanation:To determine how much Horatio and Kimberly weigh, we can set up a system of equations based on the given information. Let h represent Horatio's weight and k represent Kimberly's weight.
We are told that Horatio weighs three times as much as Kimberly:
h = 3k
We are also told that together they weigh a total of 95 kilograms:
h + k = 95
These two equations form a system of equations. We can solve the system by substituting the value of h from the first equation into the second equation:
3k + k = 95
Combining like terms, we get:
4k = 95
Dividing both sides by 4, we find:
k = 23.75
Substituting this value back into the first equation, we find:
h = 3(23.75) = 71.25
Therefore, Kimberly weighs 23.75 kilograms and Horatio weighs 71.25 kilograms.
Final answer:
The equations h = 3k and h + k = 95 can be used to determine the individual weights of Horatio and Kimberly. Solve for one variable and substitute to find the other.
Explanation:
The system of equations to determine how much Horatio and Kimberly weigh, given that Horatio weighs three times as much as Kimberly and together they weigh a total of 95 kilograms, can be represented by:
h = 3k (Horatio weighs three times as much as Kimberly)
h + k = 95 (Together, Horatio and Kimberly weigh 95 kilograms)
To solve for their individual weights, substitute the expression 3k for h in the second equation and solve for k. Once k is found, multiply it by 3 to find h. This process is part of addition in kilograms and uses equations to find the total sum of weights.
Trapezoid JKLM is shown on the coordinate plane below:
If trapezoid JKLM is translated according to the rule ( x, y)—>(x + 5, y-4), What are the coordinates of point L’ ?
A. (3,-3)
B. (1, -6)
C. (8,-6)
D. (-1, 3)
Answer: (8,-6)
Step-by-step explanation:
the coordinates are (3,-2)
(x+5, y-4)
(3+5,-2-4)
(8,-6)
A new washing machine used 3 2/4 gallons of water per full load to clean cloths. If John washed 2 2/3 loads of clothes, how many gallons of water would be used?
John drives 257 miles and uses 9 gallons of gas. How many miles per gallon did he get? Without calculating the answer, from the choices given, which is most reasonable? A. 100 miles per gallon B. –6 miles per gallon C. 30 kilometers per liter D. 25 miles per gallon
Answer:
Option D
Step-by-step explanation:
Given that John drives 257 miles and uses 9 gallons of gas.
we can find unit rate as
Per galon mileage given = 257/9 = 28
ANd units are miles/gallon
100 miles per gallon is very far from 28 hence incorrect
6 miles per gallon is very low
30 is right but unit is wrong
Hence option D is the right answer.
whats the equation for this problem?
A junior baseball team plays 16 games each summer. Last summer the team scored an average of 3.25 runs per game during the first half of the season. The tteam scored a total of 29 runs during the second half of the season. How many runs were scored by the team last season?
Final answer:
To determine the total number of runs scored by the team last season, we calculate the runs from both halves of the season. The team scored 55 runs in total, with 26 runs in the first half and 29 runs in the second half.
Explanation:
To calculate the total number of runs scored by the junior baseball team last season, we need to add the runs from the first half of the season to the runs from the second half of the season. The team played a total of 16 games, so the first half constitutes 8 games. They scored an average of 3.25 runs per game during the first half. To find the total runs for the first half, we multiply the average runs per game by the number of games:
First-half runs = Average runs per game × Number of games in the first half
First -half runs = 3.25 runs/game × 8 games = 26 runs
For the second half of the season, the team scored a total of 29 runs. Therefore, the total runs scored last season is the sum of the first and second halves:
Total runs = First half runs + Second half runs
Total runs = 26 runs + 29 runs = 55 runs
So, the team scored 55 runs in total last season.
Which verbal expression best describes the algebraic expression 4x ÷ 6? (4 points)
The sum of four and some number divided by six
The quotient of four times some number and six
The product of some number and six divided by four
The quotient of four and some number times six
Answer:
its right i took test
Step-by-step explanation:
What is the measure of the angle formed by the minute hand and the hour hand of a clock when the clock shows 4:00?
Answer:
[tex]120^o[/tex]
Step-by-step explanation:
We are asked to find the measure of the angle formed by the minute hand and the hour hand of a clock when the clock shows 4:00.
Since we know that clock is a circle made of 360 degrees.
Angle described by minute hand in one minute equals to 6 degrees (360/60). Angle described by hour hand in 1 hour equals 30 degrees (360/12).
At 4:00 minute hand will be at 12 and hour hand will be at 4. So we will multiply 4 by 30 to find the measure of angle formed when the clock shows 4:00.
[tex]\text{Measure of angle}=4\times 30^o[/tex]
[tex]\text{Measure of angle}=120^o[/tex]
Therefore, the measure of the angle formed by the minute hand and the hour hand of a clock, when the clock shows 4:00 is 120 degrees.
converse of the Pythagorean theorem
Answer:
I hope this helps u can use this u see this is how the Pythagorean theorem works a^2 + b^2 = c^ i hope this helps have a great day bye please mark as brainliest :D
Step-by-step explanation:
What is the area of this triangle in the coordinate plane? 25.0 units²
27.5 units²
50.0 units²
55.0 units²
Would this be correct?
convert
11 m^2 to yd^2
Colby and Jaquan are growing bacteria in an experiment in a laboratory. Colby starts with 50 bacteria in his culture and the number of bacteria doubles every 2 hours. Jaquan has a different type of bacteria that doubles every 3 hours. How many bacteria should Jaquan start with so that they have the same amount at the end of the day?
Answer:
800
Step-by-step explanation:
204,800 / 2 ^ 8 = 800
Please help me with this one. WILL MARK BRAINLIEST
How many different outcomes are possible if you can choose between a bus or a train, full fare or concession and you can travel in the morning or the afternoon?
Applying the multiplication principle in probability, there are eight different combinations possible when choosing between bus or train, full fare or concession, morning or afternoon for your travel.
Explanation:Your question is asking how many different combinations of travel mode, fare type, and time of day are possible under given conditions. For this situation, we can apply simple probability rules with concept of multiplication principle, which states that if there are n ways to do something, and m ways to do another, then there are n * m ways to do both.
In this case, you have two choices for each category: mode of transportation (bus or train), fare type (full fare or concession), and time of day (morning or afternoon). The combination is simply 2 (mode of transport) * 2 (fare type) * 2 (time of day) = 8. So, there are eight possible outcomes.
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Explain which type of graph would best, display the data showing the temperature of a liquid being heated in a science experiment?
the sum of two numbers is 40. the sum of the smaller and 5 times the larger is 144. find the numbers.
To find the two numbers, we can solve a system of equations. The smaller number is 14 and the larger number is 26.
Explanation:To find the two numbers, we can solve a system of equations based on the given information. Let's represent the smaller number as x and the larger number as y.
From the first equation, we have x + y = 40.From the second equation, we have x + 5y = 144.We can solve this system using substitution or elimination. Let's use substitution:
From the first equation, solve for x: x = 40 - y.Substitute this value of x into the second equation: (40 - y) + 5y = 144.Simplify the equation: 40 + 4y = 144.Subtract 40 from both sides: 4y = 104.Divide both sides by 4: y = 26.Substitute this value of y back into the first equation to find x: x + 26 = 40. Subtract 26 from both sides: x = 14.Therefore, the smaller number is 14 and the larger number is 26.
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The graphic compares two basketball shoes.
After researching many different shoes, Chris narrows down his choice to these two. Which shoes are the best deal?
1 the Hyper-Dunks because they will last for two seasons
2 the Air Slammers because they are the best price
3 the Hyper-Dunks because his favorite pro player wears them
4 the Air Slammers because those are what his teammates chose
Answer:
the answer is B
Step-by-step explanation:
what's the lateral area of the square pyramid 8m 8m 22 m
The formula for finding the lateral area of any square base pyramid is:
[tex] A=a\sqrt{a^2+4h^2} [/tex]
Where "a" is the base edge or the edge of the square and "h" is the height of the pyramid.
In our case, "a"=8 meters and "h"=22 meters
[tex] \therefore A=8\sqrt{8^2+4(22)^2} \approx357.77 [/tex] squared meters
Thus, the lateral area of the given square pyramid is 357.77 squared meters.
75 percent of 88 is the same as 60 percent of what number?
Figure FGH has vertices located at F(1, 3), G(–1, 2), and H(2, 1). The figure is rotated using the origin as the center of rotation. The image has vertices located at F’(3, –1), G’(2, 1), and H’(1, –2). Which rotation could have taken place?
a 45° clockwise rotation
a 90° clockwise rotation
a 90° counterclockwise rotation
a 180° counterclockwise rotation
Answer: The correct option is
(B) a 90° clockwise rotation.
Step-by-step explanation: Given that the co-ordinates of the vertices of figure FGH are F(1, 3), G(–1, 2) and H(2, 1).
The figure FGH is rotated using origin as the center of rotation and the the co-ordinates of the vertices of image figure F'G'H' are F'(3, -1), G'(2, 1) and H'(1, -2).
We are to select the type of rotation that could have taken place.
The transformation from the vertices of FGH to the vertices of image F'G'H' is
F(1, 3) ⇒ F'(3, -1),
G(-1, 2) ⇒ G'(2, 1),
H(2, 1) ⇒ H'(-1, 2).
Therefore, the transformation rule is (x, y) ⇒ (y, -x). This gives the rotation about origin through an angle of 90°.
Thus, the rotation of 90° clockwise taken place from figure FGH to image F'G'H'.
Option (B) is correct.
a female bunny gained one pound per week for six weeks. a male bunny gained two pounds per week for six weeks. how many more pounds did the male bunny gain than the female bunny. two pieces of information are missing
Answer:
6 lbs
Step-by-step explanation:
Female: 1 lb/week
Male: 2 lbs/week
How much did the Female gain in 6 weeks?
1 x 6= 6 lbs.
How much did the Male gain in 6 weeks?
2 x 6= 12 lbs.
How much more did the Male gain than the female?
12-6=6
The male gained 6 more lbs than the female
6 pounds more the male bunny gain than the female bunny.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees
Given:
A female bunny gained one pound per week for six weeks.
So, Female Bunny Weigh in Six weeks= 6 Pounds.
Now, male bunny gained two pounds per week for six weeks.
So, Male Bunny Weigh in Six weeks= 12 Pounds.
Thus, Male Bunny weigh more by (12 - 6)= 6 pounds.
Hence, Male Bunny has 6 Pounds more than female Bunny.
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Two step equation; 0.7t - 3.2 = 1.7
Suppose u1, u2, ..., un are independent random variables and for every i = 1, ..., n, ui has a uniform distribution over [0, 1]. define z = min(u1, ..., un). find the
c.d.f. and the p.d.f of z.
Which expression is equivalent to 8x - 2y + x + x
What is the value of x? Enter your answer in the box. x=
Answer:
x^2 + 6^2 = 10^2
x^2 + 36 = 100
x^2 = 64
x = 8
Answer:
x=8
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem to find the leg of the triangle
a^2 + b^2 = c^2
where a and b are the legs and c is the hypotenuse.
We know one of the legs is 6 and the hypotenuse is 10
6^2 +x^2 = 10^2
36+ x^2 = 100
Subtract 36 from each side
36-36 +x^2 = 100-36
x^2 = 64
Take the square root of each side
sqrt(x^2) = sqrt(64)
x = 8
2. Draw a line with 3 distinct points on it. Label each with a different letter. How many different rays can you name using only the three given points? (1 point) 8 6 4 2
A1=12−12,a2=23−13,a3=34−14,a4=45−15,a5=56−16. a1=12−12,a2=23−13,a3=34−14,a4=45−15,a5=56−16.
a.find an explicit formula for anan: .
b.determine whether the sequence is convergent or divergent: . (enter "convergent" or "divergent" as appropriate.)
c.if it converges, find limn→∞an=limn→∞an= .
A baker needs 4 3⁄4 cups of flour. If she uses a 1 1⁄2 cup measuring scoop, how many scoops of flour must the baker use to have at least 4 3⁄4 cups?
Answer:
[tex]3\frac{1}{6}[/tex]
Step-by-step explanation:
Given : A baker needs cups of flour = [tex]4\frac{3}{4} =\frac{19}{4}[/tex]
Solution :
Since we are given that she uses 1 measuring scoop for cup of flour = [tex]1\frac{1}{2} =\frac{3}{2}[/tex]
She uses uses scoop for 1 cup of flour = [tex]\frac{1}{\frac{3}{2}}=\frac{2}{3}[/tex]
She uses scoops for [tex]\frac{19}{4}[/tex] cups of flour = [tex]\frac{2}{3}*\frac{19}{4}[/tex]
= [tex]\frac{19}{6}[/tex]
= [tex]3\frac{1}{6}[/tex]
Thus [tex]3\frac{1}{6}[/tex] scoops of flour must the baker use to have at least 4 3⁄4 cups.
The total area of the state of tennessee is 69,919 square miles. The area of Nashville is 604 square miles. if a meteor were its land somewhere in the state, estimate the probability that it would land within the city limits of the capital.
Answer:
44000
Step-by-step explanation:
e
i have done this before
Chord AC intersects chord BD at point P in circle Z.
AP=3.5 in.
DP=4 in.
PC=6 in.
What is BP?
Answer:
5.25
Step-by-step explanation: