[tex]f(x) = -7 \\\\\implies 3x -1 = -7\\\\\implies 3x = -7 +1 \\\\\implies 3x = -6\\\\\implies x = - \dfrac 63 =-2[/tex]
It takes 0.5 gallon of cream to make 1 pound of butter.
How much butter could you make with 0.25 gallons of cream?
Answer:
0.5 pounds of butter.
Explanation
X pounds for 0.25 gallons.
0.5 gallon of cream - 1 pound of butter
0.25 gallons of cream - X pounds of butter
Applying cross multiplication:
0.5X = 0.25
X = 0.25 over 0.5 or 0.25/0.5
X = 0.5
Therefor, you could make 0.5 pounds of butter with 0.25 gallons of cream.
By the 0.25 gallons of cream, we can make 0.5 pounds of butter.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Given that,
It takes 0.5 gallons of cream to make 1 pound of butter.
So,
0.5 gallons of cream ⇒ 1 pound of butter
Divide both sides by 2
0.5/2 gallons of cream ⇒ 1/2 pound of butter
0.25 gallons of cream ⇒ 0.5 pounds of butter
Hence "By the 0.25 gallons of cream, we can make 0.5 pounds of butter".
For more information about ratio and proportion,
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When solving an equation, Anne's first step is shown below. Which property justifies Anne's first step?
Original Equation
3x - 1 = 3
First Step 3x = 4
Answer:
no property
Step-by-step explanation:
Name the property used: no property
Solve the set of simultaneous equations graphically. Use a scale of 1cm = 1 unit on both axes.
y=4+x
y=1+3x ; 0≤x≤6
Graphs attached
(x,y)=(1.5,5.5)About what percentage of the data lies within 2 standard deviations of the mean in a normal distribution? 47. 5% 68% 95% 99. 7%.
The percentage of data that lies within 2 standard deviations of the mean in a normal distribution is 95%.
A normal distribution is a probability distribution that is symmetric around the mean of the distribution. This means that the there are more data around the mean than data far from the mean. A normal distribution is also known as the Gaussian distribution. When depicted on a graph, a normal distribution is bell-shaped.
For a normal distribution:
About 68% of the data lie within one standard deviation of the mean. About 95% of the data lie within two standard deviations of the mean. About 99.7% of the data lie within three standard deviations of the mean.Please find attached an image of a normal distribution. A similar question was answered here: https://brainly.com/question/17101164
Answer:
I believe it is 95%
Step-by-step explanation:
5x=30
AAAA
Help.. -v-
Answer:
x equals 6:
5x=30
x=30/5
x= 6
Answer:
x=6
Step-by-step explanation:
to help you understand whatever you do on one side you do on the other so
in this case to find x we need to divide x by 5 and if we divide x by 5 we also
need to divide 30 by 5
∵5x=30
∵5x÷5=30÷5
∵x=6
HELP PLS ! How many solutions does the following system of equations have?
Answer:
A - infinite
Step-by-step explanation:
The 2 lines are on top of each other making any point on either line a solution.
Hope that helps
Help Please Just solve the question below
If these numbers represent temperature in degrees Celsius, which is the coldest
Answer: I don’t know
Step-by-step explanation: I don’t know because there is no numbers but the coldest Celsius I know is -273 degrees Celsius
what is the perimeter of PRT?
Give your answer as just a number.
Step-by-step explanation:
PT=2QS = 2×8 = 16m
therefore perimeter of ∆PRT = 6+16+14 = 36m
hope this helps you.
Please Help! I don't have much time to finish!
Answer:
............
Step-by-step explanation:
here........
solve one step equation
x/4 = 16
Hi there!
Since this is a one-step equation, we can solve it in one step.
This step is multiplying both sides by 4 to isolate x:
x=16*4
x=64
Therefore, x=64.
Hope it helps!
~GracefulGirlie
Good luck. :)
Answer:
X = 64
Step-by-step explanation:
x/4 = 16
Multiply both sides by 4
x = 16 x 4
Multiply 16 and 4 equals 64
I used the Microsoft math solver app, if this answer is correct you can use it as a tool for future math problems. I used it a lot in my math class. Hope this helps :)
A microscope shows an image of an object that is 40 times the object's actual size. So, the
scale factor of the enlargement is 40. An insect has a body length of 4 millimeters. What is the
body length of the insect under the microscope?
160 centimeters
16 millimeters
1,600 millimeters
160 millimeters
Answer:
I don't know I wanna say the 3rd one
Step-by-step explanation:
can someone please help with this???
Answer: Associative property
Answer:
yes
Step-by-step explanation:
its D
what two numbers multiply to -34 and adds to -15?
Answer:2.78301
12.21699
Step-by-step explanation:
Multiply:
2.78301 x 12.21699 = 34
Add
2.78301 + 12.21699 = 15
Luis has 3 pounds of ground turkey to make turkey burgers. He uses 3/8 pound per burger to make 6 burgers. How many 1/4 pound burgers can Luis make with the remaining turkey?
Answer: he can make 3 1/4 pound burgers.
Step-by-step explanation: we know that he starts with 3 lbs of burger meat, and uses some of the meat to make 6 burgers that each weigh 3/8 lbs. If you take the 3/8 lbs and multiply by 6 burgers, you get 18/8, which is how much has been used so far. If you subtract 18/8 from the 3 lbs that Luis has originally started with, you get 6/8 lbs, which is how much he has after his first 6 burgers. Then you can take the 1/4 and see how many times it fits into 6/8 (1/4=2/8, 6/8 divided by 2/8 = 3 burgers that each weigh 1/4 lbs)
How can I solve this?
Answer:
This is not possible with 2 equal symbols
Find the LCM of 14 and 18 using prime factorizations.
Answer:
126
Step-by-step explanation:
What is the slope of the line that passes through the points (5, 6)(5,6) and (5, 9) ?(5,9)? Write your answer in simplest form.
Answer:
Step-by-step explanation:
Slope is defined as the "Rise" over the "Run" of a straight line. The Rise is the change in y, and the Run is the change in x. For the given points:
(5,6) and (5,9) the Rise and Run are (going from left to right).
Rise (9-6) = 3
Run = (5-5) = 0
The slope is 3/0, which is undefined (can't divide by zero).
if f(x)=4x + 3 find f^-1(x)
Answer:
f^-1(x) = (x-3)/4
Step-by-step explanation:
The notation f^-1(x) means that you are finding the inverse of the function f(x). To do this, you'll want to swap the "x" and the "y" in the original function, and then solve for y. Here's how:
First, we take the original function and swap the two variables:
y = 4x + 3
x = 4y + 3
Then we subtract 3 from both sides
x - 3 = 4y
Then to get y on its own, we divide both sides by 4.
y = (x-3)/4
Make sure to note that the whole expression x-3 is divided by 4, not just one part of it.
So your new inverse equation is:
f^-1(x) = (x-3)/4
Answer:
y = (1/4)(x - 3) is the desired inverse function of f(x) = 4x + 3.
Step-by-step explanation:
Here we're finding the 'inverse function' of the given f(x) = 4x + 3. Follow these steps:
1. Replace the label f(x) with y: y = 4x + 3
2. Interchange x and y: x = 4y + 3
3. Solve this new equation for y: 4y = x - 3, or y = (1/4)(x - 3
Solve for percent change: On Monday, Cynthia raised $75 for her charity.
On Tuesday, Cynthia raised $95 for her charity. What is the approximate
percent change? *
Let p = percent change
p = (new amount)/(original amount) • 100
p = (95 - 75)/75 • 100
p = 20/75 • 100
p = 26.666667
p = 26.6%
Done.
help please???????????
Answer:
The answer is C. (a + -a = 0 )
Step-by-step explanation:
"The additive inverse of a number a is the number that, when added to a, yields zero"
help please I don't know what the answer could be
9. How many 6 inch strands of string
can be cut from a length of string
that is 8 yards long?
What is the sine rule
Answer:
Sine, in a right triangle, is the side opposite to the angle divided by the hypotenuse.
Law of sines (on any triangle) is
[tex]\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}[/tex]
where A, B, and C are angles and a, b, and c are side lengths opposite to the angles.
Answer:
sine rule states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in a given triangle.
Step-by-step explanation:
In a triangle with sides a,b,c:
a/sin A = b/sin B = c/sin C
n less than 10
.......................
Answer:
n<10
Step-by-step explanation:
There are 93 calories in 3 cups of popcorn. How many calories are in 4.5 cups of popcorn?
Answer: I think its 106 calories
Step-by-step explanation:
sorry if im wrong
i need answer please
Answer:
7
Step-by-step explanation:
48/6=8
56/8=7
Answer:
7
Step-by-step explanation:
the second triangle is 1/8 of the first so 56 divided by 8 is 7
The price of a computer is first reduced by 10% and after a while by another 20%. Who is right? Explain how you are thinking.
Almir: In total, the price has been reduced by 30%.
Bodil: The reduction is less than 30%. Viktor: The price has been reduced by more than 30%.
if u reduced the price by 10% first it would go from 100% to 90%
20% of 90 is 18
at the end the price is 72% of the original price.
Bodil is correct. The reduction is less than 30%.
=
If f(x) = 3x – 2 and g(x) = x+2,
find f(g(x)).
3
f(g(x)) = [?]
Simplify your answer as much as possible.
Answer:
3x+4
Step-by-step explanation:
f(g(x))=3(x+2)-2
=3x+6-2
=3x+4
Answer:
Step-by-step explanation:
f(x) = 3x - 2 When you see something like f(g(x)) it means that wherever you see an x on the right, you put g(x).
f(g(x)) = 3(g(x)) - 2 Now wherever you see g(x) on the right, you put in x + 2
f(g(x)) = 3(x + 2) - 2 Now remove the brackets
f(g(x)) = 3x + 6 - 2
f(g(x)) = 3x + 4
I'm not sure what the 3 in line 4 means. 3x + 4 seems to be the answer you want however.
write an equation in slope intercept form of the line that passes through the given points -4,9 -2,4 0,-1 2,-6 PLS HELP ILL GIVE BRAINLY TO WHOEVER IS RIGHT
Answer:
y=-2/5X-12
Step-by-step explanation:
M=x2-x1/y2-y1
= -2-(-4)/4-9
= 2/-5
C was given when u received the point (0, -12)
so C is -12
Answer:
y = -5/2x - 1
Step-by-step explanation:
First, we will figure out the slope. We will use the points (0, -1) and (2, -6). To do this, we look at the y values, -1 and -6, and we look at their rate of change. To get to -6 from -1 we subtract 5, or add -5. Now look at x: 0 and 2. To get from 0 to 2, we add 2. Our slope is [tex]\frac{-5}{2}[/tex].
We can use the point (0, -1) because that's our y-intercept. Your y-intercept is the value of y when x is equal to 0. Now, we put our slope and y-intercept into the slope intercept equation:
y = mx + b: where b is the y-intercept and m is the slope
y = -5/2x - 1 is your answer
Hope this helps! :D