Let me break this down with what we know like:
-David + Henry + Peter = 123kg
-Peter is 15kg heavier than David
-David is 3kg lighter than Henry
Now that we know this we can break things down.
The ratio of the 3 people is this:
- (0:3:15)=(David:Henry:Peter)
And these 3 numbers are equivalent to 18+ start with a increase of 3 every weight plus added to find all 3 of their weights, so if there is an increase of 3 and a start of 18 then we can make an equation for example:
123kg = 3x + 18
105 = 3(35)
105 = 105
So we know all 3 other than the info we knew from before which is about 11.6, So if all of them have about 11.6. So everyone's weight would be:
-David is about 11.6kg
-Henry is about 14.6kg
-Peter is about 26.6kg
Hope this helps ^^
Answer:
P-peter,D-david ,H-henry. ,P+D+H=123Kg. so P=15+D,= 15+D+D+D+3=123. 3D+18=123. .3D=123-18.
D=35
so David(D)=35
Peter(P)= 15 + 35=50
so (P)=50
and henry(H)=D+3= 35+3=38
Henry(H)= 38
Hello need it asap I will give you 5 star for all answer
Answer:x f(x) = 2.5x − 10.5 g(x) = 64(0.5x)
2 f(2) = 2.5(2) - 10.5 g(2) = 64(0.5*2)
f(2) = 5 - 10.5 g(2) = 64(1)
f(2) = -5.5 g(2) = 64
3 f(3) = 2.5(3) - 10.5 g(3) = 64(0.5*3)
f(3) = 7.5 - 10.5 g(3) = 64(1.5)
f(3) = -3 g(3) = 96
4 f(4) = 2.5(4) - 10.5 g(4) = 64(0.5*4)
f(4) = 10 - 10.5 g(4) = 64(2)
f(4) = -0.5 g(4) = 128
5 f(5) = 2.5(5) - 10.5 g(5) = 64(0.5*5)
f(5) = 12.5 - 10.5 g(5) = 64(2.5)
f(5) = 2 g(5) = 160
6 f(6) = 2.5(6) - 10.5 g(6) = 64(0.5*6)
f(6) = 15 - 10.5 g(6) = 64(3)
f(6) = 4.5 g(6) = 192
The hypotenuse of a right triangle is 13 inches. If the long leg is 7 inches longer than the short leg, find the lengths of the leg using the Pythagorean theorem
Answer:
The length of the short leg is 5 inches and the leg of the long leg is 12 inches
Step-by-step explanation:
Let
a -----> the long leg of a right triangle
b ----> the short leg of a right triangle
c ----> the hypotenuse of a right triangle
we know that
Applying the Pythagoras Theorem
[tex]c^{2} =a^{2}+b^{2}[/tex] -----> equation A
we have that
[tex]a=b+7[/tex] -----> equation B
[tex]c=13\ in[/tex] ----> equation C
Substitute equation B and equation C in equation A and solve for b
[tex]13^{2} =(b+7)^{2}+b^{2}[/tex]
[tex]169=b^2+14b+49+b^2[/tex]
[tex]2b^2+14b+49-169=0[/tex]
[tex]2b^2+14b-120=0[/tex]
Solve the quadratic equation by graphing
The solution is [tex]b=5\ in[/tex]
see the attached figure
Find the value of a
[tex]a=b+7[/tex] ----> [tex]a=5+7=12\ in[/tex]
therefore
The length of the short leg is 5 inches and the leg of the long leg is 12 inches
The lengths of the leg : 12 and 5
Further explanationQuadratic function is a function that has the term x²
The quadratic function forms a parabolic curve
The general formula is
[tex]\large {\boxed {\bold {f (x) = ax ^ 2 + bx + c}}}[/tex]
where a, b, and c are real numbers and a ≠ 0.
There are 3 ways to solve quadratic equations
a. factoring b. perfect squared c. quadratic formula
We use the factoring method
Quadratic equation x² + bx + c = 0 is equivalent to quadratic equation
[tex]{\displaystyle {x ^ 2 + (p + q) \times \: pq}}[/tex]
where p + q = b and px q = c
for a = 1, the result of factoring is (x + p) (x + q)
If at an angle there is an angle of 90 degrees, this triangle is said to be a right angle
There is a hypotenuse in this triangle which is the sum of the two sides
c² = a² + b²where c = hypotenuse
This formula is known as the Pythagorean theorem which states that:
the hypotenuse or the longest side in a right triangle equal to the sum of the squares of the other sides.
The hypotenuse of a right triangle is 13 inches
then c = 13
If the long leg is 7 inches longer than the short legthen a = b + 7
Then the phytagorean equation becomes:
(b + 7)² + b² = 13²
49+14b+b²+b²=169
49+14b+2b²=169
2b²+14b-120=0
b²+7b-60=0
factoring
(b-5)(b+12)=0
b=5 or b=-12
we use positive number ⇒5
So :
the long leg = b+7=5+7=12
the short leg = b = 5
Learn more
the triangle angle
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Prove the converse of the Pythagorean Theorem
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Use Pythagoras' theorem
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Keywords : Pythagorean Theorem , hypotenuse, the long leg
The distance remaining for a road trip over several hours is shown in the table. Use information to find the constant rate of change in miles per hour.
An architect draws a blueprint of a house. He draws the living room on the blueprint as 4.5 in. long by 6 in. wide with a scale of 1 in. for every 4
ft. He draws a second copy of the blueprint with a scale of 1 in. for every 3 ft. How many inches long should the living room be in this second
blueprint?
Answer:
the answer is 8.5
Step-by-step explanation:
yeet
Answer:
I think the closest would be 8 :3
Q. Saline IV fluid bags cost $64.20 for 24, 1000 ml bags from one supplier. A new supplier sells 500 ml bags for $2 each
The hospital uses about 10,000, 1000 ml bags each month. Nurses report that about half of the bags are more than half
full when they are discarded. If you are going to use only one supplier, which size bag provides the best deal, and how
much will you save each month? Compare the cost of the new supplier to the current one.
Answer:
The 1000 ml bags, over $3000
Step-by-step explanation:
First, determine how many bags you need from each vendor. Then find the cost per bag with each vendor. Remember, the bags are reported to be only half full when discarded, therefore you need the equivalent of 5,000 1,000 ml bags and 5,000 500ml bags.
Answer:100ml bag is 3000
Step-by-step explanation:
3x² -2 = ab
express x as the subject of formula
Answer:
x = ± [tex]\sqrt{\frac{ab+2}{3} }[/tex]
Step-by-step explanation:
Given
3x² - 2 = ab ( isolate the x² term by adding 2 to both sides )
3x² = ab + 2 ( divide both sides by 3 )
x² = [tex]\sqrt{\frac{ab+2}{3} }[/tex] ( take the square root of both sides )
x = ± [tex]\sqrt{\frac{ab+2}{3} }[/tex]
Answer:
x = √ [(ab + 2)/ 3]
Step-by-step explanation:
3x^2 - 2 = ab
3x^2 = ab + 2
x^2 = (ab + 2)/ 3
x = √ [(ab + 2)/ 3]
at 8 a.m. the temperature was -14 degrees by noon the tempature was 12 degrees. Find the change did it rise or drop?
Raymond buys bottles of water at 2 dollars each and a large pizza at 13 dollars. The total costar 21 dollars. How many bottles of water did Raymond buy?
Answer:
4
Step-by-step explanation:
$21-$13=$8
$8÷$2=4 bottles
i need help with a math problem right now it says A car rental agency advertised renting a car for $23.95 per day and $0.25 per mile. If Trevor rents this car for 3 days, how many whole miles can he drive on a $100 budget?
What is the limit of the function?
limx→∞f(x)=−4x^9−3x^3+2x−11
[tex]\bf \lim\limits_{x\to \infty}~-4x^9-3x^3+2x-11 \\\\\\ \lim\limits_{x\to \infty}~-4x^9~~+~~\lim\limits_{x\to \infty}~-3x^3~~+~~\lim\limits_{x\to \infty}~2x~~+~~\lim\limits_{x\to \infty}~-11[/tex]
for any positive value of "x" as it races off towards ∞, our first limit of -4x⁹ will give us a rather large negative value, our second limit of -3x³ will also give us a large negative value and both will combine to produce an even larger negative value.
our third limit of 2x will give us a positive value, however a much smaller than its previous siblings, and our last limit is just a fixed of -11, not moving at all.
since the negative values are moving faster than the positive ones, and thus overwhelming the positive ones, the limit will increasingly be racing towards -∞.
The limit of the function, [tex]\lim_{n \to \infty} f(x)= -4x^2 - 3x^3+2x - 11[/tex] is - ∞.
Here, given function is,
f(x)=−4x^9−3x^3+2x−11
We have to find the value of [tex]\lim_{n \to \infty} f(x)= -4x^2 - 3x^3+2x - 11[/tex].
What is limit of function?
Limit of function means the value towards which a function moves when the value of independent variable moves to infinity.
Now,
[tex]\lim_{n \to \infty} f(x)= -4x^2 - 3x^3+2x - 11[/tex]
[tex]\lim_{n \to \infty} f(x)= \lim_{n \to \infty} (-4x^2) - \lim_{n \to \infty} (3x^3) + \lim_{n \to \infty} 2x - \lim_{n \to \infty} 11[/tex]
[tex]\lim_{n \to \infty} f(x)= -[/tex]∞
Here, limit of [tex]-4x^{2}[/tex] is -∞, limit of [tex]-3x^{3}[/tex] is -∞ and limit of 2x is ∞.
For any positive value of x as it races off towards ∞ but here we find the limits as, -∞.
Since the negative values are moving faster than positive.
Hence, the limit will be towards -∞.
Learn more about the limit visit:
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About how much does the plant grow?
4
2 1/2
3
2
Hey!
------------------------------------------------
[tex]\large\boxed{The~plant~grew~2\frac{1}{2}~feet!}[/tex]
------------------------------------------------
Steps To Solve:
~Find common denominators
6/7 = 54/63
2/9 = 14/63
~Turn into improper fractions
1 54/63 = 117/63
4 14/63 = 266/63
~Subtract.
266/63 - 117/63 = 149/63
~Turn into mixed number
149/63 = 2 23/63
~Round
2 23/63 ≈ 2 1/2
Answer:
2 1/2
Step-by-step explanation:
because 4 2/9 － 1 6/7 equal to 2 half which equal to 2 1/2
Create a set of numbers with five different values that have a mean of 50.
Answer 15 20 10 2.5 7.5
Saiges spaceship traveled 588 kilometers in 60 seconds. Determine whether or not each spaceship trip below has the same speed as saiges spaceship
Answer:
Part 1) 441km in 45s --> Has the same speed as Saige's spaceship
Part 2) 215km in 25s --> Does not have the same speed as Saige's spaceship
Part 3) 649km in 110s --> Does not have the same speed as Saige's spaceship
Step-by-step explanation:
The complete question is
Saige's spaceship traveled 588 kilometers in 60 seconds.
Determine whether or not each spaceship trip below has the same speed as Saige's spaceship.
441km in 45s
215km in 25s
649km in 110s
we know that
The speed is equal to divide the total distance traveled by the total time
In this problem we have that
The speed of Saiges spaceship is equal to
[tex]\frac{588}{60}=9.8\ \frac{km}{sec}[/tex]
case 1) we have
441km in 45s
Find out the speed of the spaceship trip
[tex]\frac{441}{45}=9.8\ \frac{km}{sec}[/tex]
Compare the speed of the spaceship trip with the speed of Saiges spaceship
[tex]9.8\ \frac{km}{sec}=9.8\ \frac{km}{sec}[/tex]
therefore
Has the same speed as Saige's spaceship
case 2) we have
215km in 25
s
Find out the speed of the spaceship trip
[tex]\frac{215}{25}=8.6\ \frac{km}{sec}[/tex]
Compare the speed of the spaceship trip with the speed of Saiges spaceship
[tex]8.6\ \frac{km}{sec}\neq 9.8\ \frac{km}{sec}[/tex]
therefore
Does not have the same speed as Saige's spaceship
case 3) we have
649km in 110s
Find out the speed of the spaceship trip
[tex]\frac{649}{110}=5.9\ \frac{km}{sec}[/tex]
Compare the speed of the spaceship trip with the speed of Saiges spaceship
[tex]5.9\ \frac{km}{sec}\neq 9.8\ \frac{km}{sec}[/tex]
therefore
Does not have the same speed as Saige's spaceship
what values of y will make the expression true? 10 - y = y - 10
Answer:
y = 10
Step-by-step explanation:
Given
10 - y = y - 10 ( subtract y from both sides )
10 - 2y = - 10 ( subtract 10 from both sides )
- 2y = - 20 ( divide both sides by - 2 )
y = 10
Which point is not on the graph of the function y = x + 5?
(2, 7)
(6, 11)
(220, 225)
(10, 5)
Answer:
(10, 5 )
Step-by-step explanation:
To determine which points lie on the graph or not.
Substitute the x- coordinate of the point into the equation and if the value agrees with the y- coordinate of the point then the point is on the graph.
(2, 7 )
y = 2 + 5 = 7 ← True thus point is on the graph
(6, 11 )
y = 6 + 5 = 11 ← True thus point is on the graph
(220, 225 )
y = 220 + 5 = 225 ← True thus point is on the graph
(10, 5 )
y = 10 + 5 = 15 ≠ 5 ← Point is not on the graph
emade
There are 666 students
going to a trivia
competition. If each school
van can hold 6 students,
how many vans will they
need?
Answer:
666 divided by 6 is 111. So, they would need 111 vans.
Find the percent of each number.
1. 32% of 60 =
Answer:
Step-by-step explanation:
Answer:
19.2
Step-by-step explanation:
At a stock exchange there were a total of 10,000 shares sold in one day. Stock A had four times as many
shares sold as Stock B. The number of shares sold for Stock C was equal to the sum of the numbers of
shares sold for Stock A and Stock B. How many shares of each stock were sold?
shares of Stock A were sold,
were sold.
shares of Stock B were sold, and
shares of Stock
What’s the answer
Answer:
Share sold by Stock A = 4000, Stock B = 1000 and Stock C = 5000
Step-by-step explanation:
Total sold sold = 10000
i.e. [tex]A + B + C = 10000[/tex] ....(1)
Shares sold by stock A = 4 × Shares sold by stock B
i.e. [tex]A = 4B[/tex] ....(2)
Shares sold by stock C = Shares sold by stock A + Shares sold by stock B
i.e. [tex]C = A + B[/tex] ....(3)
substituting value of [tex]A[/tex] from (2) in (3) we get
[tex]C = 4B + B = 5B[/tex] ....(4)
substituting value of [tex]A[/tex] and [tex]C[/tex] from (2) and (4) in (1) we get
[tex]4B + B + 5B = 10000\\10B = 10000\\B = 1000[/tex]
[tex]A = 4B = 4*1000 = 4000[/tex]
[tex]C = 5B = 5*1000 = 5000[/tex]
What square roots of 10 lies between which two whole numbers?
The square root of 10 lies between two whole numbers, 3 and 4. This concept can be understood using number sense and geometry.
The square root of 10 falls between two whole numbers. To determine these two numbers, we need to consider the closest perfect square numbers to 10. These are 9 (the square root of 9 is 3) and 16 (the square root of 16 is 4). Hence, the square root of 10 must be somewhere between 3 and 4. Using a calculator, we find the approximate square root of 10 to be around 3.16. So, the square root of 10 lies between 3 and 4.
This kind of problem is related to number sense and geometry, especially when it comes to understanding square roots.
Learn more about Square Roots here:https://brainly.com/question/3120622
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What is negative 5 5/6–2 3/5
Answer:
the answer is -8 13/30
Step-by-step explanation:
Find the distance between (3,4) and (-5,7)
Answer:
(x+7, y-3)
Step-by-step explanation:
7 units to the right and 3 units down
What is 40.302 in word form
Answer:
Forty and three hundred two thousandths.
Step-by-step explanation:
40 = forty
300 = three hundred
.02 = two thousandths
Hope this helps.
Answer:
Step-by-step explanation:
Forty and three hundred two thousandths.
Jessica's home town is a mid-sized city experiencing a decline in population. The following graph models the estimated population if the decline continues at the same rate. Select the most appropriate unit for the measure of time that the graph represents. A. hours B. years C. weeks D. days
Answer:
C on Plato
Step-by-step explanation:
Gary says that 3 - 1 1/3 will be more than 2, since 3 – 1 is 2. Draw a picture to prove that Gary is wrong.
Answer:
It makes 5/3 it is less than two!
Step-by-step explanation:
Topic: Fractions and Mixed Numbers
You have to remember the concept of fractions, let's represent by cake diagrams, it says that Gary says that 3, let's say it's 3 cakes, as the fractions are represented in terms of thirds, let's draw the cakes each one divided in 3.
and the statement says that taking away 1 and 1/3 it will make more than 2.
As you can see in the picture below, we take away 1 cake and we will take away another third of a second cake represented by the brown region of the cakes. it means that the yellow region is what's left after taking the 1 and 1/3. as you can see it doesn't make two, makes less than two exactly 5/3.
PS: Try and do it mathematically now!
How many real solutions does the function shown on the graph have?
No real solutions
One real solution
Two real solutions
Cannot be determined
Answer:
0 because it doesn't cross the x-axis
Step-by-step explanation:
Interpreting the graph, it is found that the function has no real solutions.
The number of different real solutions that a function has is given by the number of times it crosses the x-axis(also known as the horizontal axis) on the graph.
In this problem, the function never crosses the x-axis, thus, it has zero real solutions.
A similar problem, in which the real solutions are taken from a graph, is given at https://brainly.com/question/16349072
Subtraction fraction answer for 13 3/16 Subtract 2 1/4
Answer:
10.9
Step-by-step explanation:
So you add or subtract the number, leaving the bottom number the same and then simplify if you need to.
Which is greater, 9 x 10-2 or 3 x 10-4? How many times
greater is the number you chose than the other number?
Explain your reasoning.
Final answer:
[tex]9 \times 10^{-2 }(0.09)[/tex] is greater than [tex]3 \times 10^{-4} (0.0003)[/tex], and is 300 times greater.
Explanation:
To determine which is greater between [tex]9 \times 10^{-2 }[/tex] and [tex]3 \times 10^{-4}[/tex]we need to understand how to interpret numbers in scientific notation. The expression [tex]9 \times 10^{-2 }[/tex] means 9 times 1 following 2 zeroes to the left, resulting in 0.09. In the case of [tex]3\times 10^{-4}.[/tex] it means 3 times 1 following 4 zeroes to the left, producing 0.0003.
Comparing these values, [tex]9 \times 10^{-2 }[/tex] is clearly the larger number because 0.09 is greater than 0.0003. To find out how many times greater it is, we divide the larger number by the smaller one: 0.09 / 0.0003 equals 300. Therefore, [tex]9 \times 10^{-2 }[/tex]is 300 times greater than [tex]3\times 10^{-4}.[/tex]
If a flagpole that is 20 feet tall casts a 6 foot
shadow, how long a shadow would a building that
is 15 feet tall cast at the same time of day?
Answer:
4.5 foot shadow
Step-by-step explanation:
By looking at this you can make a ratio that very every 5 feet there is a 1.5 foot shadow.
So 1.5 x 3 = 4.5 foot shadow
(Very sorry If it is incorrect Good luck!)
Is this statement true or false?
According to the graph, during periods of recession, the number of people in poverty increases.
True
False
Answer: The Statement is true
Step-by-step explanation: the lines in the graph are constantly parallel to each other, showing that when one increases, so does the other
Answer:
The given statement is true.
Step-by-step explanation:
We are given the following graph in the picture:
On the x-axis years are shown from 1959 to 2005.
The y axis shows the poverty rate and the number of people in poverty.
The blue strips in the graph are the recession time.
Now, for each blue strip, we could see the line for poverty rate and the number of people in poverty increases. There is an upward trend in the line in the blue strip.
In other words we could say that the slope increases for all the blue strips which actually represents that the number of people in poverty increases in recession.
Thus, the given statement is true.
Round your answers to the nearest whole number.
The fasted train in the world can travel 300 feet per second. How fast is this in miles per hour?
(1 mile = 5280 feet)
Answer:
205 miles per hour.
Step-by-step explanation:
1 mile = 5280 feet so:
300 ft / second = 300/ 5280 miles/second.
There are 3600 seconds in an hour so
this converts to 300 * 3600 / 5280 miles per hour
= 204.55 miles per hour.
Hey!
-----------------------------------------------
Solution:
Let's use dimensional analysis!
[tex]= \frac{1mi}{5280ft} * \frac{3600}{1hr} * \frac{300ft}{1sec}[/tex]
[tex]= \frac{1,080,000}{5,280}[/tex]
[tex]= 204.454545...[/tex]
[tex]= 205[/tex]
-----------------------------------------------
Answer:
205
-----------------------------------------------
Hope This Helped! Good Luck!