Answer:
f = 27
Step-by-step explanation:
11 = f - 16
Add 16 to both sides.
11 + 16 = f - 16 + 16
27 = f
HELP ASAP!!! Alex bought a notebook containing 96 pages, and numbered them from 1 through 192. Bob tore out 25 pages of Alex’s notebook, and added the 50 numbers he found on the pages. Could Bob have gotten 2012 as the sum? Show your logic steps on how you draw your conclusion.
=====================================================
Explanation:
Page 1 is labeled with 1 and 2, which sum to 1+2 = 3
Page 2 is labeled with 3 and 4 which sum to 3+4 = 7
Page 3 is labeled with 5 and 6 which sum to 5+6 = 11
and so on until we reach
Page 96 is labeled with 191 and 192, which sum to 191+192 = 383
Note how each page has an odd page number label and an even number label (odd on the front side; even on the back side). Adding any odd number to an even number will result in an odd number. We can prove it as such
x = some odd number = 2m+1, m is any integer
y = some even number = 2n, n is an integer
x+y = 2m+1+2n = 2(m+n)+1 = some other odd integer because it is in the form 2p+1 with p = m+n as an integer
This explains why the results 3,7,11,..,383 are all odd.
------------------------
So we effectively have this set of values {3,7,11,...,383}. This is an arithmetic sequence with 3 as the first term and 4 as the common difference.
If we add two odd numbers together, we get an even number (proof is similar to one shown above)
odd + odd = even
But if we add in another odd number, then we'll go back to an odd result
odd + odd + odd = odd
If we have an odd number of odd numbers added up, then the result will be odd. In this case, we're adding 25 values from the set {3,7,11,...,383}. The value 25 is odd, so we have an odd number of values from {3,7,11,...,383} being added up. Therefore, the result Bob will get will always be odd. There is no way to get a sum of 2012 because this value is even.
Find the area of the trapezoid (Problem is highlighted in Pink)
Answer:
please mark my answer as the brainliest
Step-by-step explanation:
AREA = 1/2 * (b1+b2)h
A = 1/2 * (8+18)13.5
therefore area = 175.5cm^2
Answer:
Area = 1/2 * (B1+B2)hH
A = 1/2 * (8+18)13.5
Therefore the area = 175.5cm^2
Which of the following is a like radical to 3 square root 7x
Answer:
A: 4(\root(3)(7x))
Step-by-step explanation:
Just took the test answer above is wrong this one is right.
.swag.
Answer: A
Step-by-step explanation: tis A. edge 2023 :)
When solving this system of linear equations with the elimination method,
you can multiply the bottom equation by 3.
3x +6y - 38
3( 5x - 2y) = 3(-30)
This step works because of the
O A. commutative property
O B. multiplication property of equality
O C. distributive property
O D. addition property of equality
Answer:
B.
Step-by-step explanation:
Multiplication property of equality.
A simple example is
x = x Multiply by 3:
3x = 3x
This step works because of the distributive property - option C.
System of Linear EquationsSystem of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.
Properties of MultiplicationThe properties of multiplication are:
Distributive: a(b±c)= ab±acComutative: a . b = b. aAssociative: a(b+c)= c(a+b)Identity: b.1=bFor the given system linear system was used the distributive property. Because it was used as a common factor to multiply an expression with a sum.
Read more about the distributive property here:
https://brainly.com/question/4077386
#SPJ2
if jonny have 3x6 dish sope how much do he have
Answer:
3x6 dish soap = 18 dish soap
Step-by-step explanation:
Answer:
18 dish soaps
Step-by-step explanation:
Jonny has 3x6 dish soaps which is equal to 18 because if he has 3 rows and 6 columns and you multiply that you will get 18 dish soaps
Please help me with this geometry question :((
Answer:
95
Step-by-step explanation:
GH = SR
SR = 30
FG =TS
TS = 39
104-39 =65
30+65 =95
Find the correct algebraic representation of the rotation shown below.
a. (y, -x)
b. (-x, -y)
c. (-y, x)
d. (y, x)
Answer:
-y, x
Step-by-step explanation:
x values go from negative to positive and the y values remain negative
WILL GIVE BRAINLIEST George is building a fence around a rectangular dog run. He is using his house as one side of the run. The area of the dog run will be 240 square feet. The length of the run is 30 feet, and the width is (30 minus x) feet. The diagram below shows his plan. Recall the formulas for area and perimeter: A = lw and P = 2l + 2w. A rectangle labeled Dog run has a length of 30 feet and width of (30 minus x) feet. How many feet of fencing will George need for the dog run? 22 feet 68 feet 76 feet 82 feet
Answer:
b68
Step-by-step explanation:
Answer:
68 FEET
Step-by-step explanation:
B pls give me brainliest
Find the constant of variation k for the direct variation
2x + y = 0
Answer:
2
Step-by-step explanation:
The constant of variation is 2 because the variable is x, and its coefficient, 2, is the constant of variation.
The price, t, of a lawn mower at Turf Cutters is $240 less than twice the price, d, of the same lawn mower at Lawn Masters. The difference in price between the mower at Turf Cutters and Lawn Masters is $320. Which system of equations can be used to determine the price of the mower at each store? A. t - 2d = -240 t - d = 320 B. 2t - 2d = 240 t + d = 320 C. 2t - d = 240 t - d = -320 D. t - 2d = -240 t - d = -320
Answer: A. t - 2d = -240 t - d = 320
Step-by-step explanation:
Let t be the price of a lawn mower at Turf Cutters and d be the price of the same lawn mower at Lawn Masters.
As per given , we have
The price, t, of a lawn mower at Turf Cutters is $240 less than twice the price, d, of the same lawn mower at Lawn Masters.
[tex]2d-240=t\\\\\Rightarrow\ t-2d=-240 ...(i)[/tex]
The difference in price between the mower at Turf Cutters and Lawn Masters is $320.
[tex]t-d=320 ...(ii)[/tex]
So, the system of equations can be used to determine the price of the mower at each store is
[tex]t-2d=-240\\\\t-d=320[/tex]
Hence, the correct option is "A."
A woman bought some large frames for $10 each and some small frames for $5 each at a closeout sale. If she bought 27 frames for $180, find how many of each type she bought. She bought ____ large frames.
Answer:
Step-by-step explanation:
This is a guessing game. You assume how much there is, and then you check. I was led to the conclusion that there are 9 large frames and 18 small frames.
Answer:
She bought 9 large frames
Step-by-step explanation:
Create a system of two equations and two unknowns (the number of small frames that we call S, and the number of large frames that we call L).
The two equations become:
(a) L + S = 27 (since she bought 27 frames total)
(b) 10 L + 5 S = 180
Now, let's solve for S in the first equation: S = 27 - L
ad use it to replace for S in equation (b):
10 L + 5 (27 - L) = 180
10 L - 5 L + 135 = 180
5 L = 180 - 135
5 L = 45
L = 9
Therefore she bought 9 large frames
A cylinder has a volume of 675.1 cubic centimeters. The diameter of the cylinder is 10 cm. What is the height of the cylinder? (Assume = 3.14)
Answer:
8.6 cm
Step-by-step explanation:
V=pi r-squared h
diameter of 10 means radius of 5
675.1=3.14x5x5xh
675.1=78.5h
8.6
Find the amplitude of the sine curve shown below. a. 3 b. p c. 1.5 d. 6
Answer:
Amplitude = 3
Step-by-step explanation:
Given
The sine curve above
Required
Determine the amplitude
To determine the amplitude of a sine curve, we have to calculate the distance between the horizontal line of the curve and the top or bottom of the function
Using the top of the curve as a point of reference;
Amplitude = Top of curve - Horizontal Line.
The horizontal line is always at point 0
From the graph above, the top of the curve is at point 3
Hence,
Amplitude = 3 - 0
Amplitude = 3
Let f(x) = 5x + 4 and g(x) = −2x + 1. Find the indicated value f(6)+g(-8) plz help quickly
Answer:
The answer is 51
Step-by-step explanation:
f(x) = 5x + 4
g(x) = −2x + 1
To find f(6)+g(-8) first find f(6) and g(-8) and add them
For f(6) we have
f(6) = 5(6) + 4
= 30 + 4
= 34
For g(-8)
g(-8) = - 2(-8) + 1
= 16 + 1
= 17
So we have
f(6)+g(-8) is
34 + 17
= 51
Hope this helps you
IDK what to put up here any more so imma copy-paste this
Answer:
its 3 units.
Step-by-step explanation:
Answer: 3 units
Step-by-step explanation:
Points A and B have the same y value. Thus, subtract the x-values from each other to get 5 - 2 = 3.
Hope it helps <3
Given the figure below, find the values of x and z.
Answer:
z = 96; x = 8.
Step-by-step explanation:
z = 96. This is because the angle measuring z degrees is a vertical angle of the angle measuring 96 degrees, which means that the two angles are congruent.
The angle measuring 5x + 44 degrees forms a straight angle with the 96 degree angle. That means that the measurements of the two angles will add to be 180 degrees.
5x + 44 + 96 = 180
5x + 140 = 180
5x = 40
x = 8
Hope this helps!
Find the critical numbers for f(x)=cos(x)+sin^2(x) on the interval [0,2pi]
Answer:
Step-by-step explanation:
Rad [0,2[tex]\pi[/tex]]
f(x)=cos(x)+sin²(x)=cos(x)+1-cos²(x)
--[cos(x)-1/2]²+5/4=f(x)
when cos(x)=1/2,the f(x) has Max=5/4
cos(x)=1/2,x=[tex]\pi[/tex]/3(Rad) or 60°(Deg)
is x=-3 a function plz respond in one minute
Answer:
x = -3 is not a function because, for one thing, its graph does not pass the vertical line test.
Step-by-step explanation:
graph y= - x - 6 on a graph
Answer:
(Picture below)
Step-by-step explanation:
To solve this you will first need to make a coordinate plane that is 10 by 10.
After you have done that you will need to know what slope intercept form is. Slope intercept form is [tex]y=mx+b[/tex] and the equation that was given was [tex]y=-x-6[/tex]. In the formula [tex]y=mx+b[/tex], [tex]m[/tex] is the slope or rise over run and b is where the line crosses the y axis.
Now that you know the basics of slope intercept form we can start graphing. so b in this equation is -6, so we will put the first point on -6. after we have done that we can start putting the points of the line. So since the slope is just -1x we will have to go down one and go to the right one about 3 times and just to finish it up go up and left on 3 times to. And there you have it.
Which number is an irrational number?
Answer:
[tex]\boxed{\sqrt[3]{16} }[/tex]
Step-by-step explanation:
=> [tex]\sqrt[3]{16}[/tex] is an irrational number because it cannot be written as the form [tex]\frac{p}{q}[/tex] which is the basic requirement of being a rational number.
=> [tex]\sqrt{100}[/tex] = 10 (A rational number because it's a whole number)
=> 1/8 (Rational as it is in the form p/q)
=> -2.2675 (Rational because it is an integer)
Answer:
[tex]\boxed{\sqrt[3]{16} }[/tex]
Step-by-step explanation:
An irrational number cannot be expressed in the form p/q, where p and q are whole integers.
[tex]\sqrt{100} =10[/tex]
[tex]\frac{1}{8} =0.125[/tex]
[tex]-2.2675= - \frac{907}{400}[/tex]
[tex]\sqrt[3]{16} \approx 2.51984209979... \neq \frac{p}{q}[/tex]
[tex]\sqrt[3]{16}[/tex] is an irrational number.
Juan is making a model out of rhombi. Each rhombus will be connected to the one before it. Each rhombus will be 6 inches tall and 4 inches wide.
help me with this question ;<;
Let's set this up in equation form!
We know that 15 equals b and 8 together.
15 = b + 8
b = 7
The value of b that makes the equation true is 7.
Hope this helps!! :)
Help help help help
Plz
Answer:
Step-by-step explanation:
Probability of getting any number less than 6 = 2/6 =1/3
So, It is unlikely
Answer:
2/6 or 1/3
Step-by-step explanation:
the two umbers less than 6 or 2 and 4. In total on the dice there is 6 numbers. so 2/6 is tha answer and then we spimlify
What is the value of the expression
Answer:
6
Step-by-step explanation:
2(7)-(-4)/3
(14+4)/3
18/3
=6
If it's right can i get brainliest.
Answer:
D) 6
Step-by-step explanation:
Plug in the values of a & b
[tex]\frac{/2a/-b}{3}= \frac{/2*7/-[-4]}{3}\\\\=\frac{/14/ + 4}{3}\\\\=\frac{14+4}[3}\\\\=\frac{18}{3}\\\\=6[/tex]
help me plz on this i just need the answer Use the given parent function f(x)=|x| to graph g(x)=|x|+5. Use the ray tool and select two points to graph each ray.
Answer:
no
Step-by-step explanation:
the answer is no because the quantum formula states that a quantum state is a mathematical entity that provides a probability distribution for the outcomes of each possible measurement on a system. Quantum states that cannot be written as a mixture of other states are called pure quantum states, while all other states are called mixed quantum states.
HELP ME THE ANSWER IS NOT 36 OR 12 DO THE RSM ANSWER!!! Three generous friends, each with some cash, redistribute their money as follows: Ami gives enough money to Jan and Toy to double the amount that each has. Jan then gives enough to Ami and Toy to double their amounts. Finally, Toy gives Ami and Jan enough to double their amounts. If Toy has $36 when they begin and $36 when they end, what is the total amount that all three friends have?
Answer:
$252
Step-by-step explanation:
Let the initial amount of money Ami, Jan and Toy have initially be A, J and T respectively.
Please see attached picture for full solution.
Answer:
$252
Step-by-step explanation:
Step 1Toy has $36 and gets $36 from Ami. Now he has $36*2= $72
Step 2Toy gets $72 from Jan to double his money and now has $72*2= $144
Step 3Toy gives enough money to Ami and Jan to double their money
Toy has $36 at the end, so he has given $144 - $36= $108 to Ami and Jan
Since he doubles their money by giving $108, they now have
$108*2= $216Now we add the amount Toy has at the end to the amount Ami and Jan have at the end to get final amount:
$216+$36= $252So the friends have $252Isabella uses one-foot cubical blocks to build a rectangular fort that is 12 feet long, 10 feet wide, and 5 feet high. The floor and the four walls are all one foot thick. How many blocks does the fort contain?
Answer:
12
trust me it works i just took the test.
suppose f(x)=x^3 find the graph of f(x+3)
Replace x with x+3:
f(x+3) = (x+3)²
which is x² translated 3 units left
Write an equation in slope-intercept form for the line that satisfies the following condition.
passes through (8, 10), parallel to the graph of y = x +7.
Select one:
Answer:
y=8/3x-34/3
Step-by-step explanation: If the line is parallel to y=8/3x+7, then the slope must be 8/3. So, we can eliminate A and B. Now, let's take C, and plug in (8, 10) into the equation. We end up with 10=64/3-34/3. 64-34=30. 30/3=10. 10 = 10. So, C is the correct answer. No need to check for D.
Pls solve and explain
Answer:
4950 potholes in 6 weeks, estimated is 4800.
Step-by-step explanation:
To estimate, let's round 825 to the nearest 100th - 800.
Now we multiply 800 times 6 to find our estimate.
[tex]800\cdot 6 = 4800[/tex]
If we know that the road repair crew can fix 825 potholes PER WEEK, we can set up a proportion to find how many they can do in 6 weeks.
[tex]\frac{825}{1} = \frac{x}{6}[/tex]
Let's cross multiply to find the value of x.
[tex]825\cdot6=4950\\4950\div1=4950[/tex]
So the repair crew can fix 4950 potholes in 6 weeks.
4950 is pretty close to 4800, so our exact answer should be correct.
Hope this helped!
Answer:
the answer is 4950
Step-by-step explanation:
Because the ratio would be 825:1 and if you times the 1 by 6. it would give you 6 and do the same to the other side with 825 that would give you 4950. hope you like my answer.