Answer: The numbers are 96 and 56
Step-by-step explanation:
x+y=152
x-y=40
If you subtract the equations from one another, you will get
x+y=152
-(x-y)=40
So, 2y=112, making y=56
If you plug y=56 into x+y=152, you will get x=96
Find the remainder when p(x) = x4 - 27 is divided by x - 4.
Answer:
229 is the remainder.
Explanation:
In order to find the remainder, insert the value of x in the equation.
Given equation:
[tex]\sf p(x) = x^4 - 27[/tex]Given x value:
x - 4 = 0x = 4Find remainder:
[tex]\sf p(4) = 4^4 - 27[/tex]
[tex]\sf p(4) = 256 - 27[/tex]
[tex]\sf p(4) = 229[/tex]
Answer:
229
Step-by-step explanation:
Here we are given a polynomial p(x) and we need to find the remainder when it is divided by (x-4) . As we know that if a polynomial, say [tex]g(x)[/tex] is divided by [tex]x-a[/tex] then the remainder is [tex]g(a)[/tex] .
Firstly equate [tex] x -4[/tex] with 0 , we have;
[tex]\longrightarrow x -4=0\\[/tex]
[tex]\longrightarrow x =0+4\\ [/tex]
[tex]\longrightarrow x = 4 [/tex]
Now substitute [tex] x =4[/tex] in [tex]p(x)[/tex] ,
[tex]\longrightarrow p(x)= x^4-27\\[/tex]
[tex]\longrightarrow p(4)= (4)^4-27\\[/tex]
[tex]\longrightarrow p(4) = 256 - 27 \\[/tex]
[tex]\longrightarrow \underline{\underline{\boldsymbol{ p(4) = 229}}}[/tex]
Hence the remainder is 229 .
7.5% of $12.58
ANSWER PLS
Answer:
0.94$
Step-by-step explanation:
Answer:
0.9435
Step-by-step explanation:
7.5/100 × 12.58 = 0.9435
can you please help me?
find the sum of the arithmetic sequence -1,2,5,8,11,14,17
So, we must find the sum of this arithmetic sequence -1,2,5,8,11,14,17
using the arithmetic sequence formula and Sum of an Arithmetic Sequence formula such that an =
a1 + d(n-1)...........where a1 = -1 and a2 = 2.
We can use this information to find the common sum ratio 'd' such that,a2 = a1 + d(2-1)2 = -1 + d(1)...........Then add 1 to both sides to get 3
= We do not need d to find the sum but i decided to show you how to find 'd' in case you needed to find the nth term.
The Sum Formula yields,Sn = n(a1 + a7) / 2,
where n is the number if terms which is 7 in this case, right ?
Then we plug in the first and seventh terms for a1 and a7 such that=
S(7)=
(7)(-1+17) / 2 = (7)(16/2) = (7)(8) = 56
I hope this helped!
Aliyyah.
The side length of a square ABCD is 18 inches. What is the side length of the square formed by joining the midpoints of the sides of ABCD
=[tex]9\sqrt{2}[/tex]
<2 is a complement of <4, and m<2 = 51°. Find m<4.
39°
102°
51
129°
Answer:
39°
Step-by-step explanation:
Angles that are complement to one another add up to 90 degrees.
This means that Angle 4 + 51 = 90Now, to find the measure of Angle 4, we subtract 51 from 90.
[tex]90-51[/tex] [tex]39[/tex]Therefore, the answer is 39°.
which is not a rational number
a. √49 b. 37/5 c 0.067 d. 2.101100111000.......
if you can explain how you got the answer
Answer:
Determine the type of elasticity of demand
How many minutes are in
34 hours?
Answer:
60 x 34 = 2040 mins
Step-by-step explanation:
1hr = 60 min
34 hr = 60 x 34 = 2040 mins
Because one hour is equal to sixty minutes, in order to change the units you have to multiply the number of hours, 34, by 60.
[tex] \bold{34×60 = \underline{ \boxed{ \purple{ \bold{2,040}}}}} \\ [/tex]Thus, 34 hours in minutes = 2,040 min.
can y’all help me I know it’s easy but still 2×5.6÷2.8+3.5
Answer:
7.5
Step-by-step explanation:
Write as an equation.
Answer:
10
Step-by-step explanation:
(5+x=15)☞︎︎︎(Equation)
5-5+x=15-5
X=10
How does the theoretical probability of the event “flip heads” change when a coin is flipped more times in an experiment?
A.) If a head is flipped, the theoretical probability will increase.
B.) If a tail is flipped, the theoretical probability will increase.
C.) If a tail is flipped, the theoretical probability will decrease.
D.) The theoretical probability will not change.
Answer:
D
Step-by-step explanation:
Can someone help me with this one
Answer:
Step-by-step explanation:
The number of minivans is not really important for this question. You need only two numbers
Total vehicles = 545
Convertibles = 106
Equation
% convertibles = (# convertibles / Total) * 100%
Solution
% convertibles = (106 / 545) * 100%
% convertibles = 19.44%
Answer: 19 percent are convertibles.
Answer:
19%
Step-by-step explanation:
Number of convertibles = 106.
[tex]Percentage = \dfrac{number \ of \ convertible}{Total cars}*100\\\\[/tex]
[tex]= \dfrac{106}{545}*100\\\\\\= 19.44[/tex]
= 19%
The question is in the picture!! Thank you in Advance
Answer: Series diverges to infinity
========================================================
Explanation:
The leading terms of the numerator and denominator are 5n^5 and 4n^5 respectively. They divide to 5/4. The n^5 portions cancel.
As n approaches infinity, the nth term of the sequence is going to approach 5/4 = 1.25 which is larger than 1.
Adding stuff to a series that's larger than 1, and doing so infinitely many times, means that the partial sums explode to infinity. The partial sums do not approach a finite value. Therefore, this series diverges to infinity.
What is the slope of the line shown below?
5
-4
O A.-4.
OB.
(5.1)
4
(-3,-1)
O C. 4.
OD.
Answer:
D
Step-by-step explanation:
We can first eliminate options A and B because they are both negative slopes and the graph shown is an increasing slope, meaning the answer is positive.
Next, we calculate the slope with the formula (y2 - y1) / (x2 - x1) to get 1/4.
1/4 is the slope.
What is the perimeter and area of the figure shown?
14 m
Answer:
the answer is 120
Step-by-step explanation:
you just have to add them all together
find value of x if x+4²
Answer:
x = - 16
Step-by-step explanation:
Value of RHS is not given. If it's 0, then,
x + 4² = 0
x = 0 - 4²
x = 0 - 16
x = - 16
_______
Hope it helps ⚜
Answer:
x = -16
Step-by-step explanation:
=> x = ?
=> x + 4² = ?
=> x + 16 = ?
=> x = -16
I HOPE IT HELPS YOU PLEASE MARK ME BRAINLIEST:)A pet store has 10 puppies that are breed A and 10 puppies that are breed B. The weights of the puppies to the nearest pound are shown in the dot plots.
Which statement is true based on the data given in the dot plots?
A The puppies of breed A are generally heavier than the the puppies of breed B.
b
The puppies of breed B are generally heavier than the the puppies of breed A.
c
The weights of the puppies of breed A are more spread out than the the weights of the puppies of breed B.
d
The weights of the puppies of breed B are more spread out than the the weights of the puppies of breed A.
Answer:
the answer is b
Step-by-step explanation:
on data plot b the breed b puppies are heavier than breed a puppies
You are laying out a new retail store and need to arrange some displays. You know that the store is 8800 square feet in size, and that it is 110 feet wide. How deep (from front to back) is the store?
Answer:
Step-by-step explanation:
square feet (8800) = length x width (110)
So, solve for L: 8800 = 110L
Divide both sides by 110 to get
length (depth) = 80 feet
Answer:
80 feet
Step-by-step explanation:
i took the quiz and got it right
tan7A - tan4A - tan3A = tan7A*tan4A*tan3A
answer is tan 7 a 4 a tan4a
A statistician takes several random surveys, each of 50 middle school students, to determine the favorite pizza topping of middle school students. The table
shows the mean results from all the surveys.
Pizza Topping Average of Surveys
extra cheese
pepperoni
pineapple
13
17
8
5
sausage
vegetables
7
Which we statements are valid inferences that can be made based on the data collected?
On average, of students prefer pineapple.
On average, tv of students prefer either pineapple or vegetables,
On average, of students prefer either pepperoni or pineapple.
On average, about 10% of students prefer sausage.
On average, about 50% of students prefer elther extra cheese or pepperoni
Answer:
I'd say On average, about 50% of students prefer elther extra cheese or pepperoni and On average, 1/4 of students prefer pineapple.
Also i tried my hardest to read the picture you took, so im assuming that the pineapple statement is 1/4 correct me if i'm wrong
What is the GCF of the numerator and denominator in the following fraction?
Answer:
What's the fraction
Step-by-step explanation:
I need to know the fraction in order to solve
What need help fast please
which is likely to have a mass close to 3 kilograms
Answer:
Step-by-step explanation:
which is likely to have a mass close to 3 kilograms?
a. a 5- year old child
b. a bowling ball
c. a lemon
d. an adult lion
A kilogram weighs just over 2 pounds. It weighs 2.2 pounds. That's 2 point 2 pounds.
Multiply 3 times 2 point 2.
bowling ball is right. Some weigh 6 or 7 pounds.
A number increased by 15 equals70. Wath is the number
Answer:
55
Step-by-step explanation:
55+15=70 and u could also say 15 from 70 =55
A square and a rectangle have the same area. The square has side length 8 in. The length of the
rectangle is four times its width. What is the length of the rectangle?
The first step we take is to find the area of the square since the area of the square is equal to the area of the rectangle
[tex]area-of-rectangle = area- of-square\\area-of-rectangle = 8*8 = 64in^2[/tex]
Another fact we know is that the length of the rectangle is four times the width.
L = 4W
L: Length's lengthW: Width's lengthNow let's put the variables, found above, into the format to find the area of the rectangle
[tex]area-of-rectangle = L * W, (L = 4W)\\area-of-rectangle = 4W * W\\\\64 = 4W^2\\16 = W^2\\\\W^2 = 16\\\\W = 4[/tex]
Since the Width is 4, L = 4 * W = 4 * 4 = 16 in.
So the length is 16 inches
Hope that helps!
HELP ASAP!!!
Find the value of X. Leave your answer in simplest radical form.
Answer:
x=3
Step-by-step explanation:
Check the picture
2 3 4 5 6 7 8 9 10
TIME REMAINING
52:24
The Hawaiian language has 12 letters: five vowels and seven consonants. Each of the 12 Hawaiian letters are written on a slip of paper and placed in the bag. A letter is randomly chosen from the bag and then replaced. Then, a second letter is randomly chosen from the bag.
What is the probability that two vowels are chosen?
StartFraction 5 Over 72 EndFraction
StartFraction 25 Over 144 EndFraction
StartFraction 7 Over 12 EndFraction
Five-sixths
Answer:
25/144
Step-by-step explanation:
The probability of it occurring once is 5/12, which means that the probability of it occurring twice is (5/12 x 5/12) = 25/144.
Does anyone know the answer
Answer:
B
Step-by-step explanation:
3x + 7y = - 49 → (1)
10x - 7y = - 42 → (2)
adding (1) and (2) term by term will eliminate y
13x + 0 = - 91
13x = - 91 ( divide both sides by 13 )
x = - 7
substitute x = - 7 into either of the 2 equations and solve for y
substituting into (1)
3(- 7) + 7y = - 49
- 21 + 7y = - 49 ( add 21 to both sides )
7y = - 28 ( divide both sides by 7 )
y = - 4
solution is (- 7, - 4 ) → B
A camera has a listed price of $819.95 before tax. If the sales tax rate is 6.5%, find the total cost of the camera with sales tax included.
What is the positive solution to the equation:
x^2=64
WILL RECEIVE BRANLIEST IF YOU EXPLAIN YOUR ANSWER
Answer:
8
I really hope this helped! :D
Step-by-step explanation:
X squared is equal to 64.
That also means X is the square root of 64.
8*8=64
8 Is the square root of 64, meaning it's also X.
Remember, when you square a number, you multiply it to itself.
8^2= 8*8
4^2=4*4
2^2= 2*2
So on, so forth.