The solution of the equation in terms of z will be; z = 2x - 8/y
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given the equation as;
2xy-yz=8
Now we have to solve for z;
2xy-yz=8
-yz = 8 - 2xy
Then divide by y on both sides;
z = 2xy/y - 8 / y
z = 2x - 8/y
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a. Find the probability that when a single six-sided die is rolled, the outcome is 1.
b. Find the probability that when a coin is tossed, the result is tails.
c. Find the probability that when a six-sided die is rolled, the outcome is 13.
a. The probability of rolling a 1 on a six-sided die is
The probability that when a coin is tossed, the result is tails = 1/2
The probability that when a single six-sided die is rolled, the outcome is 1 = 1/6
The probability that when a six-sided die is rolled, the outcome is 13 = 0
What is probability?Probability is simply how likely something is to happen.
A).
The probability that when a single six-sided die is rolled, the outcome is 1.
When a dice is thrown, sample space = {1, 2, 3, 4, 5, 6}
All six digits are equally likely to occur.
P (occurring 1) = 1/6
B).
The probability that when a six-sided die is rolled, the outcome is 13.
When a dice is thrown, sample space = {1, 2, 3, 4, 5, 6}
13 does not occur in the sample space.
P (occurring 13) = 0
C).
The probability that when a coin is tossed, the result is tails.
When a coin is thrown, sample space = {H, T}
Both head and tail are equally likely to occur.
P (tail) = 1/2
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Solve for x. Help asap, please!
Answer:
[tex]x=4\frac{1}{8}[/tex]
Step-by-step explanation:
Step 1: Multiply (2x+5) by [tex]-\frac{3}{4}[/tex].
[tex]-\frac{3}{4}(2x+5)=-\frac{3}{4}*2x-\frac{3}{4}*5=-\frac{3}{2}x-\frac{15}{4}[/tex]
The equation becomes [tex]2\frac{1}{2}x-\frac{3}{2}x-\frac{15}{4}=\frac{3}{8}[/tex]
Step 2: Combine all terms that have a variable.
[tex]2\frac{1}{2}x-\frac{3}{2}x=\frac{5}{2}x-\frac{3}{2}x=\frac{2}{2}x=x[/tex]
The equation becomes [tex]x-\frac{15}{4}=\frac{3}{8}[/tex]
Step 3: Add [tex]\frac{15}{4}[/tex] to both sides of the equation.
[tex]x-\frac{15}{4}+\frac{15}{4}=\frac{3}{8}+\frac{15}{4}[/tex]
[tex]x=\frac{3}{8}+\frac{15}{4}=\frac{3}{8}+\frac{30}{8}=\frac{33}{8}=4\frac{1}{8}[/tex]
[tex]x=4\frac{1}{8}[/tex]
Pleas help me out here.
Answer:
A and E
Step-by-step explanation:
The given problem shows a graph of a vertical line with an undefined slope, in which its equation is x = 3 (which matches Option A).
It is not considered a function because it has the same input for every given output. This means that regardless of its y-coordinate, its corresponding x-coordinate will always be x = 3.
The Vertical Line Test allows us to know whether or not a graph is actually a function. Remember that a function can only take on one output for each input. We cannot plug in a value and produce two output values. Since the graph represents a vertical line, it automatically fails the vertical line test. Therefore, it is not a function.
Because it is not a function, Options B, C, and D are invalid answers.
Hence, the correct answers are Options A and E.
Write the standard form equation of the parabola that passes through (20,−40),if the vertex at the origin and the axis of symmetry is vertical.
Answer:
y = -0.1x^2
Step-by-step explanation:
Start out with vertex form
y = a(x - h)^2 + k
The vertex at the origin
Therefor (h, k) = (0, 0)
y = ax^2
use point (20, -40) to find a
-40 = a(20^2)
-40 = a(400)
Divide both sides by
400
-0.1 = a
Therefor
y = -0.1x^2
This is standard form with a = -.01 and both b and c equal to zero
Which of the following is the solution to the quadratic equation
x2−10x+21=0 ?
Step-by-step explanation:
the answer is the image above
Answer:
x=3 and x=7
Step-by-step explanation:
x2 - 10x + 21=0
a=1, B=-10, c=21
delta= b2 - 4(ac)
if delta >0 => have two answer
x1= -b - _/delta / 2a = -(-10) - _/16 / 2.1 = 3
x2= -b + _/delta /2a = -(-10) + _/16 / 2.1= 7
The product of a number
X and 40
A.X-40
B. X+40
C 40x
D. X/40
Answer:
C
Step-by-step explanation:
HELP LAST ATTEMPT!! marking as brainliest!
Answer:
i m not sure... whether it's correct or not......
bt I tried my best
Find the two numbers whose sum is54 and whose difference is 4
Answer: I can not see the picture
Step-by-step explanation:
can you show it?
Evaluate the expression when t = 0.2.
300t2−0.5÷t
Enter your answer as a decimal in the box.
help asap
Answer:
9.5
Step-by-step explanation:
Just put the 0.2 in the correct.
Answer:
9.5
Step-by-step explanation: I'm in K12 good luck.❣
Find the value of x and y in the following diagram
Answer:
Below in bold.
Step-by-step explanation:
y = 40 degrees ( opposite angles)
The triangle on the left is isosceles so
2x + 2x + 40 = 180
4x = 140
x = 35 degrees.
I NEED A 100% ACCURATE RIGHT ANSWER ASAP NO LINKS !!!
it's 8=8 meaning it is always true, and infinity.
Answer: all real num.
Step-by-step explanation:
4(a+2) = 8+4a
4a+8 = 8+4a
It can be all real number.
graph the line with slope 2/3 passing through the point (5,2). I need a picture of where to put the lines
someoneplz help me plzzzzzzzzzzzz
Answer:
Whats the question ???
Step-by-step explanation:
What do you need help with?
Please i need urgent right answer
Answer:
260°Step-by-step explanation:
Find the missing angles:
m∠CDE = 360 - 312 = 48m∠DCG = 180 - m∠CDE = 180 - 48 = 132 Consecutive interior anglesm∠BCG = 180 - m∠BCG = 180 - 52 = 128 Consecutive interior anglesFind x:
x = m∠BCG + m∠DCG = 132 + 128 = 260°HW
Example 7: While chasing the Joker, the Batmobile was traveling at 120 miles per hour. The
Joker's get-away car was traveling at 176 feet per second. Who was traveling faster, Batman or the
Joker? Explain your answer.
Answer:
this is a trick question 176 fps is equal to 120 mph
so 120=120
Translate the sentence into an equation.
Five less than the product of 6 and a number is equal to 8.
Use the variable y for the unknown number,
Answer:
(6 times n) - 5 = 8
Step-by-step explanation:
First we need to multiply 6 by a number and then subtract 5 from the total which will then equal to 8
Connor was traveling in Mexico and is returning to his home in the United States.
He has 2,567 pesos left. The current exchange rate is 1 U.S. dollar is equal to 19.43
pesos. How many U.S. dollars will he have if he converts his leftover pesos to
dollars?
$2,567
$102.68
$132.12
$3,414
Answer:
$132.12
Step-by-step explanation:
19.43 pesos = $1
2567 pesos = ?
1. First divide 2567 by 19.43 to find the exact number of dollars:
2567 ÷ 19.43 = 132.1152856
2. Round this value to 2 decimal places:
132.1152856 ≈ $132.12
Step-by-step explanation:
19.43 pesos = 1 U.S. dollar
So 1 peso = [tex]\frac{1}{19.43}[/tex] U.S. dollar
2567 pesos = [tex](\frac{1}{19.43} )(2567)[/tex] U.S. dollar
= 132.115286 U.S. dollar
please give me a brainliest answer
CE TASK
V.
3
The carpenter spent 7/8 of his money on bags of sand for the sandbox. He spent 1/2 of the rest
of his money on some packs of bunting flags to decorate thesandbox and had $19.90 left How much money did the carpenter start with? Draw a bar model to show your work
Determine how much money did the carpenter start with
The total money with the carpenter is $318.4
Given:
let
x = total money with the carpenter
Bags of sand = 7/8 of x
= 7/8x
Money remaining = x - 7/8x
= (8x-7x) / 8
= 1/8x
Bags of bunting bags = 1/2 of 1/8x
= 1/2 × 1/8x
= 1/16x
Money left = $19.90
Total money = bags of sand + bag of bunting flag + money left
x = 7/8x + 1/16x + 19.90
x = (14x + x) / 16 + 19.90
x = 15/16x + 19.90
x - 15/16x = 19.90
16x - 15x / 16 = 19.90
x/16 = 19.90
divide both sides by 1/16
x = 19.90 ÷ 1/16
= 19.90 × 16/1
= 318.4
Therefore, the total money with the carpenter is $318.4
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A baseball game has
Answer:
ummm whats the chioces
Step-by-step explanation:
Need help with this tricky image
How much has James earned since the beginning of the year in 2014? (use pay stub) *
1 point
$1,451.28
$3548.72
$5,000
Which statements are true about rational expression multiplication? Check all that apply.
The closure property states that the sum of two rational expressions is an irrational number.
Rational expressions are closed under multiplication.
The commutative property states that changing the order of two or more factors does not change the value of the product.
The associative property states that the way in which two or more factors are grouped in a product changes the value of the product.
The properties of rational expression multiplication are parallel to the properties of rational number multiplication.
9514 1404 393
Answer:
B, C, E
Step-by-step explanation:
(a) <does not refer to multiplication> FALSE
(b) Rational expressions are closed under multiplication.TRUE
(c) The commutative property states that changing the order of two or more factors does not change the value of the product. TRUE
(d) The associative property states that the way in which two or more factors are grouped in a product changes the value of the product. FALSE, the product will be unchanged.
(e) The properties of rational expression multiplication are parallel to the properties of rational number multiplication. TRUE
Answer:
The answer is B, C, E. aka, 2,3,5
Step-by-step explanation:
Here is proof! Hope you pass<33
In pack of ten books, three are geometry books while the rest are book on algebra. If three books are drawn at random, what is the probability that one of them is geometry book and the others are book on algebra
Answer:
21/40.
Step-by-step explanation:
There are 3 geometry and 7 algebra books.
If the geometry book is drawn first probability = 3/10
If the second is algebra P = 7/9.
If the third is algebra P = 6/8 = 3/4.
So the probability of all three being drawn in this order = 3/10 * 7/9 * 3/4
= 63/360
= 7/40.
Now there are a total of 3 ways in the order they are drawn, That is:
GAA
AGA
AAG.
So the required probability = 3 * 7/40
= 21/40.
Clear Plumbing charges a flat fee of $28.50 for a repair trip and $38. 50 per hour for labor. What is the total cost of a repair job that takes 3.5 hours?
Answer:
163.25
Step-by-step explanation:
38.50x3.5= 134.75
134.75+28.50= 163.25
38.5 per hour which explains 38.5x3.5= 134.75
28.50 is a one time fee so you add that to the total of hours 134.75+ 28.50= 163.25 in total.
Is this correct or not I have been stuck for 30 min I'm exhausted lol
Answer:
Absolute maximum is (3, 7)
Absolute minimum is (1, 1)
Step-by-step explanation:
Absolute maximum is the point in a graph where the highest point is marked, in this case the graph is highest at (3, 7).Absolute minimum is where the lowest possible point is marked, in this graph, it's marked at (1, 1)Answer:
The absolute maximum values are --> x = 3 and y = 7
The absolute minimum values are --> x = 1 and y = 1
there are 21 ballons 4 are blue ballons 3 is green what is the total of blue ballons
Answer:
4 blue balloons.
Step-by-step explanation:
Answer: 14
Step-by-step explanation: 4 + 3 = 7 and there are 21 balloons 21 - 7 = 14. and thats how you get 14
3 ice cream cones cost $ 8.25
At this rate , how much do 2 ice cream cones cost ?
Answer:
The cost of 2 icecream cones is $5.50. Given data: Price of 3 icecream cones is $8.25. 1 icecream come = $(8.25÷3) =$ 2.75.
Step-by-step explanation:
Answer:
5.50
Step-by-step explanation:
8.25 divided by 3 =2.75
Then take 2.75 and multiply it by 2 and you get your answer which is 5.50
Plz help I need help
Answer:
Not proportional
Step-by-step explanation:
This is because there is not an equal about of feet per day
Can you help<333? If not it’s gine
Answer:
It should 120 students
Step-by-step explanation:
Answer:
120 students
Step-by-step explanation:
4/7×210=120
what is the answer for 4|x+7|=16
Answer:
-3
Step-by-step explanation:
hope it helps