Answer:
Y^2/a = x
Step-by-step explanation:
Y = a sqr X
Square both sides
Y^2 = a * x
Divide a
Y^2/a = x
Answer:
[tex] x = \dfrac{y^2}{a^2} [/tex]
Step-by-step explanation:
[tex] y = a\sqrt{x} [/tex]
Square both sides.
[tex] (y)^2 = (a\sqrt{x})^2 [/tex]
[tex] y^2 = a^2(\sqrt{x})^2 [/tex]
[tex] y^2 = a^2x [/tex]
Divide both sides by a².
[tex] \dfrac{y^2}{a^2} = x [/tex]
Switch sides.
[tex] x = \dfrac{y^2}{a^2} [/tex]
the points (3,5) and (-2,10) lie on a line. what is the slope
Answer:
-1
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 10-5)/(-2-3)
=5/-5
= -1
Luka, Zara, and Kim simplified the following expression: -3(x+4) – 2(5x – 6). Their work
is shown below. Who simplified the expression correctly? Explain your answer. (Hint:
None, one, or two of the students could be correct.)
I
Luka
-3(x+4) - 2(5x-6)
-3(x+4) + -2(5x + -6)
-3x + -12 + -10x + 12
-13x
Zara
-3(x+4) - 2(5x-6)
-3x + -12 - (10x -12)
-3x + -12 - 10x + 12
-13x
Kim
-3(x+4) - 2(5x - 6)
-3x + -12 - 10x - 12
-13x - 24
Answer:
Kim and Zara are correct.
Step-by-step explanation:
Correct simplification:
-3(x+4) - 2(5x-6)
-3x + (-12) - 10x + 12
-3x - 12 - 10x + 12
- 13x
Luka is correct.Zara is correct.Kim is incorrect because when -2 is distributed to (5x-6), it should come out to be -10x+12.Rewrite the following equation in slope-intercept form. 2x + 16y = 11 Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y=-1/8x+11/16
Step-by-step explanation:
The slope-intercept form is y=mx+b. You have to move over 2x to the other side. After that you have to divide both sides by 16 to get to the y intercept form, so it would end up as y=-1/8x+11/16, where -1/8=m and 11/16=b
What is the slope of the line for this question?
Step-by-step explanation:
the slope of the line is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
we have 2 points marked on the chart :
(6, -1) and (9, 3)
x changes by +3 (from 6 to 9)
y changes by +4 (from -1 to 3)
the slope is therefore +4/+3 = 4/3
A factory puts 5/8 of a gallon of vinegar into each batch of salad dressing. How many gallons of vinegar will be used in 2 batches?
Answer:
1 1/4
Step-by-step explanation:
[tex]\frac{5}{8} +\frac{5}{8}=\frac{10}{8}= 1 \frac{2}{8}= 1\frac{1}{4}[/tex]
five eighths plus five eighths equals ten eighths simplified to one and two eighths and simplified again to one and one fourth.
Solve for b. b+2/3=1 1/4 Enter your answer as a fraction in simplest form in the box.
Answer:
75/4
Step-by-step explanation:
b+2/3=11/4
3b+2/3=11/4
3b+2=11×3/4
3b=33-2/4
3b=33-8/4
3b=25/4
b=25×3/4
b=75/4
The solution of the linear equation b + 2/3 = 1 ¹/₄ will be 7 / 12.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The equation is given below.
b + 2/3 = 1 ¹/₄
Convert the mixed fraction into a fraction number, then we have
b + 2/3 = 5/4
Simplify the equation, then we have
b = 5/4 - 2/3
b = 7/12
The solution of the equation b + 2/3 = 1 ¹/₄ will be 7 / 12.
More about the solution of the equation link is given below.
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Mr. Ocampo has two kind of fruit in his basket. The ratio of apples to oranges is 3:2. If there are 18 apples then how many pieces of fruit are there.
Answer:
There are 27 pieces of fruits
Step-by-step explanation:
Given, apples=18
ratio of apples to oranges =3:2
Now, x/18 =3/2
or, 2x=18*3
or, x=54÷2
x =27„
please mark as branliest answer
hope it helps you
Find the average rate of change between x=2 and x=4 for the function. F(x)=3x^3-1
Answer:
84Step-by-step explanation:
Average rate of change between x = 2 and x = 4 is:
[f(4) - f(2)]/(4 - 2) = (3*4³ - 1 - 3*2³ + 1)/2 = 168/2 = 84[tex]\boxed{\sf Average\: change=\dfrac{f(a)-f(b)}{a-b}}[/tex]
[tex]\\ \sf\longmapsto f(x)=3x^3-1[/tex]
[tex]\\ \sf\longmapsto f(4)=3(4)^3-1=3(64)-1=192-1=191[/tex]
[tex]\\ \sf\longmapsto f(2)=3(2)^3-1=3(8)-1=24-1=23[/tex]
Average change
[tex]\\ \sf\longmapsto \dfrac{192-23}{4-2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{168}{2}[/tex]
[tex]\\ \sf\longmapsto 84[/tex]
Determine if the point is a solution to the system of linear equations [tex] \huge \{{ \large \begin{array}{} 2x + 3y = 2 \\ 6y = 5 - 4x \end{array}} [/tex]
Answer:
The system has no solutions.
Step-by-step explanation:
If you stare at it for the bit you can tell the system is impossible. Let's see why:
First of all, rewrite the second equation by bringing all unknowns on the LHS:
[tex]4x+6y=5[/tex].
Then take twice the first equation, doubling every coefficient:
[tex]4x+6y=4[/tex] See how the LHS is the same? The system is asking you to find a quantity (4x+6y) which is at the same time equal to four AND five - emphasis on that "and" - which is obviously impossible, because it implies that 4=5. So the point - which you didn't provide - is not a solution. Nor is any other point.
What is the image of (4,8) after a dilation by a scale factor of 1/2 centered at the origin?
help quick pls
Answer:
The answer should be (1,-2)
Step-by-step explanation:
because 4x1/4=1 and -8x1/4=-2 just divided and the answer will be (1,-2)
The Snyders went out to dinner and their bill was $54.15. How much would a 20% tip cost?
Answer:
$10.83
Step-by-step explanation:
bill/percent
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
A. b ≤ -3
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
C
Step-by-step explanation:
Find the circumference of the circle in terms of .
58 in.
a.1161 in.
b. 587 in.
c.232 in.
d. 33647 in.
Answer:
116π in
Step-by-step explanation:
Circumference = 2πr
Circumference = 2(58)π
Circumference = 116π
-Chetan K
Solve (MAFS.912.A-REI.2.3)
4
15= 2
+8
A. =1
2 B. =−1
2
C. =2 D. =−2
Answer:
c,=2d=-2
Step-by-step explanation:
Find the perimeter. Simplify your answer.
Answer:
P = 2w - 10
Step-by-step explanation:
To solve this problem use the perimeter formula [tex]P=2l+2w[/tex]
So here we have 1 as the width and w-6 as the length [tex]P=2(w-6) + 2(1)[/tex]
So we multiply 2(w) 2(-6) to get 2w-12
So because 2 times 1 is 2 the perimeter would be [tex]P=2w-12 + 2[/tex]
Simplified would be [tex]P=2w-10[/tex]
because -12 + 2 = 10
Hopes this helps
A restaurant customer left $1.10 as a tip. The tip was 10% of the cost including tax. What was the total bill?
Answer:
11
Step-by-step explanation:
so 10% as a decimal is 0.1 if you take 1.10 and divide it be 0.1 you get 11. you do this because with percent you just multiply the decimal and you have your percent and using inverse operations you divide by the decimal instead of multiply
what is the slope?
what is the y-intercept?
Proportional or not proportional?
equation?
Answer:
slope=8
y-intercept=12
equation y=8x+12
Step-by-step explanation:
not sure if it is a Proportional or not proportional?
Answer Please will give brainliest.
Step-by-step explanation:
blue is natural: 1, 4, 0, 2 and root of 25.
green is whole: -9 and -15.
yellow is rational: 2/3
orange is irrational: pi and root of 15.
white is real numbers.
don't know about that purple one.
C+3/8=1 1/3
(3/8 Is a fraction, and so is 1/ 13)
(Solve for C)
Answer:
see below
Step-by-step explanation:
c+9/24=32/24 so c=23/24
Answer:
C = 23/24
Step-by-step explanation:
Step 1: Convert 1 1/3 to an improper fraction.
[tex]C + \frac{3}{8} = 1 \frac{1}{3}[/tex] [tex]C + \frac{3}{8} = \frac{4}{3}[/tex]Step 2: Change the denominator of 3/8 and 4/3 to a common denominator: 24.
[tex]C + \frac{9}{24} = \frac{32}{24}[/tex]Step 3: Subtract 9/24 from both sides.
[tex]C + \frac{9}{24}-\frac{9}{24}=\frac{32}{24} - \frac{9}{24}[/tex] [tex]C = \frac{23}{24}[/tex]Therefore, C = 23/24.
What is the volume of a sphere with a radius of 4.4 cm, rounded to the nearest tenth
a
of a cubic centimeter?
O 223.8
0 294.4
O. 299.1
O 356.8
Answer:
V = 356.8 cubic centimeter
Step-by-step explanation:
[tex]V = \frac{4}{3} \pi r^{3}[/tex]
[tex]\pi V = \frac{4}{3} \pi (4.4)^{3}[/tex]
[tex]V = \frac{4}{3}\pi (85.184)[/tex]
V = 356.8179048
V = 356.8
what is the length of a short leg of a 30-60-90 triangle shown below?
Answer:
5
Step-by-step explanation:
since 30-60-90 triangles are special right triangles, we know that if the short leg=x, the long leg= xsqrt(3). so the short leg= 5 sqrt(3) /(sqrt(3) = 5
3. Sally invested $5,000.00 in a savings account earning 3.49% simple interest. At the same time
Jon invested $3,000.00 in a money market account at a simple interest rate of 7.5%. How many
years will it take for the two to have the same amount of money in their accounts? How much
money do they have after that time period?
Answer:
ic hch7y8gygdr6dr6d7twwt7tfx7yuc yc i
There is sandwich meat in the refrigerator. There is 2 and 3/4 pounds of roast beef, 1 and 7/8 pounds of turkey, and 2 1/16 pounds of salami.
If you must put 1/4 of a pound of meat on sandwiches, how many whole sandwiches of each type can you make? there is 26 but how much is left
The amount of meat that is to be added to each sandwich is expressed as a fraction of a unit mass of one pound.
First part
Number of roast beef sandwiches are 11 sandwiches.Number of turkey sandwiches are 7 sandwiches.Number of salami sandwiches are 8 sandwiches.Second part
All the roast beef left are usedThe amount of salami left is 0.0625 lb.The amount of turkey left is 0.125 lb.Reasons:
The amount of roast beef = 2 and 3/4 lb
The amount of turkey = 1 and 7/8 pounds
The quantity of salami = 2 1/16 pounds
The amount of meat that goes with a sandwich = 1/4 pounds
[tex]\displaystyle Sandwiches \ with \ roast \ beef = \mathbf{\frac{2 + \frac{3}{4} }{\frac{1}{4} }} = 11[/tex]
The number of roast beef sandwiches that can be made = 11 sandwiches
[tex]\displaystyle Sandwiches \ with \ turkey =\frac{1 + \frac{7}{8} }{\frac{1}{4} } = \mathbf{7.5}[/tex]
The number of turkey sandwiches that can be made = 7 sandwiches
[tex]\displaystyle Sandwiches \ with \ salami = \frac{2 + \frac{1}{16} }{\frac{1}{4} } = \mathbf{8.25}[/tex]
The number of salami sandwiches that can be made = 8 sandwiches
The total number of whole sandwiches = 11 + 7 + 8 = 26
The total number of whole sandwiches that can be made = 26 sandwiches
The amount of each meat left is given by the product of the fraction of a sandwich made by the meat and [tex]\displaystyle \mathbf{\frac{1}{4}}[/tex]
Therefore;
The amount of roast beef left = 0 × [tex]\displaystyle \frac{1}{4}[/tex] = 0
[tex]\displaystyle The \ amount \ of \ turkey \ left = 0.5 \ lb \times \frac{1}{4} = \underline{0.125\ lb}[/tex]
[tex]\displaystyle The \ amount \ of \ salami\ left = 0.25 \ lb \times \frac{1}{4} = \underline{0.0625 \ lb}[/tex]
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The mean of 79, 76, 55, 20, 14, 68, 30, 29, and is 52. Calculate the missing
value.
Answer:
Step-by-step explanation:
The mean of an equation is the average of it. For example, if I take 3, 4, and 5 and I want to find the average of it, I would add them up (12) and then divide by 3, because there are 3 terms. So the mean of 3, 4, and 5 is 4. Now in your equation, you must find another number. 79, 76, 55, 20, 14, 68, 30, 29 added up is 371. Now, because there are 8 terms, I would divide 371/8. 371/8=46.38.
I am not done. I must find the missing value. I am going to use the process of elimination to solve. I hav etried all numbers in my calcualtor that equal a high number, and then got 468. I then divided 468 with a 97 and got 52. 52 is the Missing value.
Amy thinks that 2/5 in its simplest form is 1/2.5
Do you agree? Convince me
Answer:
no
Step-by-step explanation:
2/5 is the simplest form in this question 1/2.5 would not mathematically go into 2/5
Sam put $500 into a savings
account with a simple interest
rate of 6%. He earned $120 of
interest. How long was his
money in the bank?
.Write your response!
Answer: 6 years
Step-by-step explanation:
WHAT IS BD HELPPPP :)
Answer:
b 12 probly
Step-by-step explanation:
6 on each side add them ya get 12
Marian is making accessories for the soccer team. She uses 666.12 inches of fabric on headbands for 36 players and 3 coaches. She also uses 310.68 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
I need help with this
Answer:
answe is about 23. something
Step-by-step explanation:
Rudolph will spend $150 on tickets to the Reindeer Games. Reserved seat tickets cost $25 and general admission
tickets cost $10. Write an equation that describes the number of tickets Rudolph can buy_How many tickets can
Rudolph buy if he buys only reserved seat tickets? Only general admission tickets?
The equation that describes the number of tickets Rudolph can buy will be 25r + 10g = 150.
Let the reserved tickets be represented by r.Let the general admission be represented by g.Therefore, the equation will be 25r + 10g = 150.
The number of tickets that Rudolph can buy if he buys only reserved seat tickets will be:
= $150 / $25 = 6
The number of tickets that Rudolph can buy if he buys only general admission tickets will be:
= $150 / $10 = 15
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What is the slope intercept equation from the graph?
Please help me thank u!
Answer:
y = -3/2x+3
Step-by-step explanation:
Pick two points on the line
(0,3) and (2,0)
Using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 0-3)/(2-0)
= -3/2
The y intercept is 3
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = -3/2x+3