Can i pls get some help here with how to even solve it using clear steps?
first off, let's split the triplet into two equations, then from there on we'll do substitution.
[tex]\cfrac{y}{x-z}=\cfrac{x}{y}=\cfrac{x+y}{z}\implies \begin{cases} \cfrac{y}{x-z}=\cfrac{x}{y}\\[2em] \cfrac{x}{y}=\cfrac{x+y}{z} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{using the 1st equation}}{\cfrac{y}{x-z}=\cfrac{x}{y}\implies }y^2=\underline{x^2-xz} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{using the 2nd equation}}{\cfrac{x}{y}=\cfrac{x+y}{z}\implies }xz=xy+y^2\implies \stackrel{\textit{substituting for }y^2}{xz=xy+(\underline{x^2-xz})}[/tex]
[tex]2xz=xy+x^2\implies 2xz=x(y+x)\implies \cfrac{2xz}{x}=y+x \\\\\\ 2z=y+x\implies 2=\cfrac{y+x}{z}\implies 2=\cfrac{x+y}{z} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{}{ \begin{cases} \cfrac{y}{x-z}=\cfrac{x}{y}\\[2em] \cfrac{x}{y}=\cfrac{x+y}{z} \end{cases}}\implies \begin{cases} \cfrac{y}{x-z}=\cfrac{x}{y}\\[2em] \cfrac{x}{y}=2 \end{cases}\implies \begin{cases} \cfrac{y}{x-z}=2\\[2em] \cfrac{x}{y}=2 \end{cases}[/tex]
that of course, is only true if x + y, or our numerator doesn't turn into 0, if it does then our fraction becomes 0 and our equation goes south. Keeping in mind that x,y and z are numeric values that correlate like so.
Using identity evaluate: (104)²
Answer:
104×104=10816
Step-by-step explanation:
104²=104×104
=10816
George has 4 pounds of ham to make 16 sandwiches. He puts the same amount of ham on each sandwich. Which statement about George’s sandwiches is true?
Question 2 options:
Each sandwich has 4 pounds of ham.
Each sandwich has 1 pound of ham.
Each sandwich has one fourth pound of ham.
George has one half pound of ham left over.
A candy bar box is in the shape of a triangular prism. The volume of the box is 1,200 cubic centimeters.
A triangular prism is shown with base of triangle labeled 10 cm, sides of the triangles labeled 13 cm, and length of the box equal to 20 cm.
Part A: What is the height of the box? Show your work. (5 points)
Part B: What is the approximate amount of cardboard used to make the sides of the candy box? Explain how you got your answer. (5 points)
Answer:
A) 12 cm
B) 520 cm² (just sides); 720 cm² (sides and base)
Step-by-step explanation:
A)The volume of a triangular prism is given by the formula ...
V = 1/2LWH . . . L = length, W = width, H = height
Filling in the given dimensions, we can find the height.
1200 cm³ = 1/2(20 cm)(10 cm)H
1200 cm³/(100 cm²) = H = 12 cm . . . . divide by the coefficient of H
The height of the box is 12 cm.
__
B)Only the two rectangular faces with dimensions 13 cm by 20 cm are described in this problem statement as "sides." The area of each of those two faces is ...
A = LW
A = (20 cm)(13 cm) = 260 cm²
So, the area of the two sides is ...
2 × 260 cm² = 520 cm² . . . . area of sides
__
If we also describe the base as a side of the box, its area is ...
A = LW = (20 cm)(10 cm) = 200 cm²
Added to the area of the other two sides, the total "side" area is 720 cm².
What is the percent of decrease from 25 to 15?
Round your answer to the nearest tenth.
Enter your answer in the box.
%
Answer:
40% is correct
Step-by-step explanation: I took the test in k12 if you guys are wondering and yes it shows 40%.
Write these numbers in order, starting with the smallest. 7.13 1.7 7.117 7.2 1.17
Answer:
1.17 , 1.7 , 7.117 , 7.13 , 7.2
this is the arranged order
What is an equation of the line that passes through the points (-4, -6)(−4,−6) and (4, 4)(4,4)?
Answer:
y=5/4x-1
Step-by-step explanation:
How do you rename a mixed number as a fraction khan academy.
Answer:
There's no answer choices but I can give you an example.
Step-by-step explanation:
Let's say you have [tex]\frac{25}{4}[/tex]. Think about what the closest whole number 25/4 will give you. Since 24 and 25 are close you can do 24/4 and get 6. Now since you took one number away from the 25 you have a remainder. Since the denominator is 4 your final answer would be 6[tex]\frac{1}{4}[/tex].Hopefully this helps.
find the equation of the line
use exact numbers
Answer:
y = 1/2x + ( - 3)Step-by-step explanation:
According to the graph, the line has the following intercepts.
y - intercept of (0, - 3)x - intercept of (6, 0)The line equation is:
y = mx + bThe slope is:
m = (0 - (-3)) / (6 - 0) = 3/6 = 1/2The line is:
y = 1/2x + (- 3)A track team has 24 Students The ratio of females
to males is 5/7. How many females are on the team? How many males.
Answer:
There were 10 females and 14 males on the team.Step-by-step explanation:
Step-1: Add the ratios.
5 + 7 = 12Step-2: Divide it with the total number of students.
24 ÷ 12=> 2Step-3: Multiply.
5 x 2 = total females7 x 2 = total males
=> 10 females=> 14 malesHence, there were 10 females and 14 males on the team.
One soulution contains 2 parts salt to 8 parts water, and another contains 3 parts salt to 5 parts water. How much of each should be mixed together in order to obtain 280 quarts of a soulution that is 3 parts salt to 7 parts water?
PLS HELP!!!!
Answer:
120
Step-by-step explanation:
Given,
Solution A contains 2 parts salt to 8 parts water
Solution B contains 3 parts salt to 5 parts water
Target Mixture contains3 parts salt to 7 parts water:
Expressing the salt concentration in decimal form
Solution A: 2/(2 + 8) = 2/10 = 0.20 salt
Solution B: 3/(3 + 5) = 3/8 = 0.375 salt
Mixed Solution: s/(3 + 7) = 3/10 = 0.30 salt
Since target mixture is 280 quarts
If the amount of 0.375 salt present in mixed solution = x
Then, the amount of 0.20 salt, y = 280 – x
Using a typical mixture equation
0.375x + 0.20(280-x) = 0.30(280)
0.375x + 56 - 0.20x = 84
Subtract 56 from both sides of the equation
0.375x - 0.20x + 56 – 56 = 84 – 56
0.375x - 0.20x = 28
0.175x = 28
Divide both sides of the equation by 0.175
0.175x/0.175 = 28/0.175
x = 160
y = 280 – x
y = 280 – 160
y = 120
HELP PLS PLS PLS PLS
Answer:
The probability of a person going to work by car is 48
And the probability of different way is 52
Step-by-step explanation:
As it's represented in the table above, there are 48 percent employees use cars as their transportation to work, and to find the rest sum all the probability of other transportation together which will give you 52 percent.
Y=3x
Y=x+4
What is substitute and the solution?
take the second equation and plug it into the first one after you set it equal to x.
so y+4=x then plug it into the first equation.
y=y+4-4
then 4-4=0
so your answer would be y=y which would make it be no solution
3x = x - 4
x = -2
Since y = 3x, then y = 3(-2) = -6. It also satisfies the second equation
how do you solve
y=3x
y=x-4
using substitution
----------
3x = x-4
2x = -4
x = -2
--------
y = -6
find value of x. ROUND TO NEAREST HUNDREDTH. PLS HELP. WILL AWARD BRAINLIEST
Answer:
[tex]x[/tex] = 24.57 to the nearest hundredth
Step-by-step explanation:
The three sides of a right-angled triangle have specific names:
The hypotenuse (H) is the longest side. It is opposite the right angle.The opposite side (O) is opposite the angle in question.The adjacent side (A) is next to the angle in question.The 3 trigonometric ratios are:
[tex]sin(\theta)=\frac{O}{H} \\\\cos(\theta)=\frac{A}{H} \\\\tan(\theta)=\frac{O}{A}[/tex]
For the given triangle we are given the angle, the hypotenuse, and need to find the side that is ADJACENT to the angle.
Therefore, we would use the trig ratio: [tex]cos(\theta)=\frac{A}{H}[/tex]
Substituting the values from the triangle: [tex]cos(35)=\frac{x}{30}[/tex]
Multiply both sides by 30: [tex]30cos(35)=x[/tex]
Therefore, [tex]x=24.57456133...[/tex]
So [tex]x[/tex] = 24.57 to the nearest hundredth
HELP ASAPPPP
please help me
Answer:
x=3, y=4
Step-by-step explanation:
hope this helps!
pls mark brainliest
1/5 divided by (6 x 4)
Answer:
1/120
Step-by-step explanation:
(1/5) / (6 * 4)
First simplify:
(1/5) / 24
Then, multiply be the reciprocal of 24 (Skip, Flip, Multiply):
[tex]\frac{1}{5} (\frac{1}{24})[/tex]
and you get:
1 / (5 * 24)
1/120
Hattie had $6600 to invest and wants to earn 4% interest per year. She will put some of the money into an
account that earns 2.7% per year and the rest into an account that earns 4.9% per year. How much money
should she put into each account?
Answer:
The amount of money that should be invested at the rate of 12% is $900 and the amount of money that should be invested at the rate of 10% is $2,100
Step-by-step explanation:
Let
x ------> the amount of money that should be invested at the rate of 12%
3,000-x -----> the amount money that should be invested at the rate of 10%
we know that
The sum of the interest on each of the accounts must be equal to the total interest.
Solve for x
therefore
The amount of money that should be invested at the rate of 12% is $900 and the amount of money that should be invested at the rate of 10% is $2,100
Hope this helps you!!!! :D
-1/2 + (3/4 x 4/9) = ?
help?
Answer:
[tex]x \times \frac { - 1}{ - 6} [/tex]
Step-by-step explanation:
explanation is in the image above
Answer:
-1/6Step-by-step explanation:
lets do the bracket first
3/4 x 4/9
turn the denominators the same
27/36 x 16/36
=1/3
-1/2+1/3
-1/6
Tim is playing a game on his computer. He missed the first 10 questions, and each question is worth 4 points. If his starting score was zero and he has not gotten any questions correct, what is Tim's score?
Answer:
0
Step-by-step explanation:
he got all of them wrong
If 24 out of 40 cookies are chocolate, how many chocolate cookies will there be per 100 cookies total?
Answer:
60 cookies
Step-by-step explanation:
We can use ratios to solve
24 x
----- = -----------
40 100
Using cross products
24*100 = 40x
2400 = 40x
Divide each side by 40
2400/40 =x
60 = x
I need help, has to be turned in tomorrow morning!
Answer: (5,5)
Step by step explanation:
We have the two equations
-7x + y = -30 and y = 2x - 5
one of the equations "define" y therefore we can plug the value of y into the other equation and solve for x
-7x + y = -30
plug in y = 2x - 5
-7x + 2x - 5 = -30
combine like terms
-5x - 5 = -30
add 5 to both sides
-5x = -25
divide both sides by -5
-5x/-5 = x and -25/-5 = 5
we're left with x = 5
we now plug in the value of x into one of the equations and solve for y
2x - 5 = y
x = 5
2(5) - 5 = y
multiply 2 and 5
10 - 5 = y
subtract
y = 5
the solution is (5,5)
A footbridge over a river is modelled by the equation h=-0.05x^2+0.36x+1 where “H”
represents the height above the water in metres and “x” represents the distance from the bank in meters. What is the maximum height of the bridge? Show Steps.
Answer: 12 m
Step-by-step explanation:he path of a football has been modeled by the equation:
x=39632689x395+7445.7545=?
i asked before but the question wasn't there so pls help
Answer:
15654919600.8
Step-by-step explanation:
39632689x395+7445.7545= 15654919600.8
Answer:
X= 15654919600.8
Solve for missing a.....
Answer:
a = 2√11
Explanation:
Using Pythagoras theorem:
a² + b² = c²
a² + 10² = 12²
a² = 144 - 100
a² = 44
a = √44
a = √2*2*11
a = 2√11
Answer:
a = 2√11
Step-by-step explanation:
Write an equation using four numbers that multiply to 0, none of which are opposites.
Please help! Thank you!
Answer:
6×5×4×0 = 0
Step-by-step explanation:
In order for a product to be zero, one (or more) of the factors must be zero. You can pick any numbers you like for the factors, but one of them must evaluate to zero.
0 = 0·3·2·1
0 = -85·(3 -2 -1)
Which inequalities are equivalent to r + 45 < 16? Check all that apply.
Or + 45 < 16 - 45
or + 45 – 16 < 16 – 16
Or +45 + 3 < 16 + 3
s + 45 - 16 < 16
Or + 45 - 45 < 16 - 45
Answer:
the last option hope this helps
Step-by-step explanation:
Answer:
+ 45 - 45 < 16 - 45 is answer
Step-by-step explanation:
EASY POINTS PLZ HELP
The mean age of 5 people in a room is 38 years.
A person enters the room.
The mean age is now 39.
What is the age of the person who entered the room?
Answer:
The age of the person who walked in the room is 44.
Step-by-step explanation:
The original mean age is 38 which means the total ages combined divided by the 5 people.
5 people x 38 (the mean age) = x
x = Total ages combined
x = 190 years old
Then another person came in, now totaling 6 people, and the mean age changed to 39 years old, an increase.
6 people x 39 (the new mean age) = y
y = Total ages combined
y = 234 years old
So, we are trying to figure out the age of the new person who came in. We have to subtract the new total age (y) by the original total age (x).
y - x = Age of new person in room
234 years old - 190 years old =
44 years old
)) At the end of the Crimson Comet's soccer season, Coach Shawn hosted a party for the
players. He had 24 players on his team and ordered enough extra large pizzas for each player
to eat 3 slices. Extra large pizzas have 12 slices each and cost $16. How much did all the
pizzas cost?
How many edges does a triangular based pyramid have?
Answer:
6 edges
Step-by-step explanation:
Answer:
6 edges
Step-by-step explanation:
3 on the bottom, 3 going up to the point
What is the quotient of 5 5/8 divided by 6
Answer:
15/16
Step-by-step explanation:
just trust the math. I hope it helped!
[tex]\tt 5\dfrac{5}{8}\div 6\\\\\dfrac{45}{8}\div 6\\\\\dfrac{45}{8}\times \dfrac{1}{6}\\\\\dfrac{45}{48}=\boxed{\bold{\dfrac{15}{16}}}[/tex]
