Answer:
37
Step-by-step explanation:
6th square number is 6 and 6² = 36
first cubed number is 1 and 1³ = 1
36+1=37
Choose values for A and B and use them to verify the product shown
(5a+b)(a-6b) = 5a^2 - 29ab -6b^2
Answer:
let A and B be 2 and 3
Step-by-step explanation:
then substitute:
(5a+b)(a-6b) = 5a^2 - 29ab - 6b^2
(5×2+3)(2-6×3) = 5×2^2 - 29×2×3 - 6×3^2
13 × (-16) =20-174-54
-208 = -208
My brainy brother and sister added their ages together and got 15. When they multiplied their ages together, they got 54. How old is the older one between the two of them?
Given:
Sum of ages of brother and sister = 15
Product of their ages = 54
To find:
How old is the older one between the two of them?
Solution:
Let x be the age of brother and y be the age of sister.
Sum of ages of brother and sister = 15
[tex]x+y=15[/tex]
[tex]x=15-y[/tex] ...(i)
Product of their ages = 54
[tex]xy=54[/tex]
[tex](15-y)y=54[/tex] [Using (i)]
[tex]15y-y^2=54[/tex]
[tex]0=54-15y+y^2[/tex]
Splitting the middle term, we get
[tex]54-15y+y^2=0[/tex]
[tex]54-9y-6y+y^2=0[/tex]
[tex]9(6-y)-y(6-y)=0[/tex]
[tex](6-y)(9-y)=0[/tex]
Using zero product property, we get
[tex](6-y)=0\text{ and }(9-y)=0[/tex]
[tex]y=6\text{ and }y=9[/tex]
If [tex]y=6[/tex], then using (i), we get
[tex]x=15-6[/tex]
[tex]x=9[/tex]
If [tex]y=9[/tex], then using (i), we get
[tex]x=15-9[/tex]
[tex]x=6[/tex]
Therefore, the age of older one is 9, the age of younger one is 6 and the difference between their ages is 3.
you have three sides and three angles what am i
Find the median and mean of the data set below:
9,10,38,0,26,35,8
Answer:
Median = 10
Mean = 18
Step-by-step explanation:
1) Median equals the middle number of a set.
To find median, place the numbers from least to greatest. So that’ll turn to be:
0, 8, 9, 10, 26, 35, 38
The middle number is 10.
2) Mean is the average of all the numbers.
To find mean, add all the numbers together. So 0+8+9+10+26+35+38 = 126
Then, divide the sum by the amount of numbers you added. We added a total of 7 numbers to get 126. 126/7 = 18. The average is 18.
Answer:
The median is 10 and the mean is 18 . Hope it help
Step-by-step explanation:
The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest
Henry gross pay is $4000 a month. If he saves $500 of his pay, what percent of his pay does he save?
Answer:
12.5%
Step-by-step explanation:
big brain
Insert commas suitably and write the names according to International system of numeration: a) 40050017 b) 251400
Answer:
a) 40050017 = 40,050,017
Forty million fifty thousand and seventeen
b) 251400 = 251,400
Two hundred fifty one thousand and four hundred
Step-by-step explanation:
In international system commas are placed after three digits starting from the unit's place.
a) 40050017 = 40,050,017
Forty million fifty thousand and seventeen
b) 251400 = 251,400
Two hundred fifty one thousand and four hundred
It can be placed as shown below.
TM, M, HTh , TTh, Th, H, T, O
4 0 0 5 0 0 1 7
2 5 1 4 0 0
Toby and Ahmed are eating pizza. Toby eats 1/2 of the pizza and Ahmed eats 1/4 of the pizza. How much of the total pizza have they eaten? 1 point
Answer:they have eaten 3/4 of the total pizza
Step-by-step explanation:
Let the whole pizza =1whole
Amount eaten by Toby =1/2
Amount eaten by Ahmed =1/4
Total Amount eaten by both of them =1/2 +1/4 = 2+1/ 4=3/4
Therefore, they have eaten 3/4 of the total pizza
The midpoint of chord AB is ( , ), and the slope of chord AB is
Answer:
See solution below
Step-by-step explanation:
Let the coordinate's of A and B be (1, 0) and (2,4) respectively
midpoint M (X, Y) = [(x1+x2/2, y1+y2/2)]
X = x1+x2/2
X = 1+2/2
X = 3/2
X = 1.5
Y = y1+y2/2
Y = 0+4/2
Y = 4/2
Y = 2
Hence the required midpoint (X, Y) is (1.5, 2)
Slope m = y2-y1/x2-x1
m = 4-0/2-1
m = 4/1
m = 4
Hence the slope is 4
Note that the coordinates are assumed but the same calculation can be employed for any other coordinates
the mean of 5 numbers is 8.
one more number is added to the group.
the mean of the numbers is 9.
what number was added to the group
Answer:
14
Step-by-step explanation:
Sum of the first five numbers = 40
The sum of the six numbers should equal 9 x 6 = 54
So, you would do 54 - 40 = 14
Hope that helps! :)
-Aphrodite
A man bought some story books for 5 Ghana Cedis each from a bookshop
15 of the books got missing. He then sold the rest at 8 Ghana cedis each and made a profit of 90 Ghana cedis. How many books did he buy?
Answer:
70
Step-by-step explanation:
Let the no of books bought be x
The cost price of 1 book is 5x
No of the missing book is 15
The remaining book is x-15
The selling price of 1 book is 87
Selling price of (x-15) book is 87
Hence the number of books can be calculated as follows
8(x-15)-5x= 90
8x-120-5x= 90
8x-5x= 90+120
3x= 210
x= 210/3
= 70
Hence the number of books bought is 70
I need help on math plz no bots
PLEAASE HEELP! Will mark brainly!!!
I need help cand someone help me find this answer
Answer:
725.7 m²
Step-by-step explanation:
A=2πrh
r=16 1/2 ÷ 2 = 8 1/4
A= 2π(8.25)(14)=725.7
Solve.
a-5/a+4=5/4
a=0
a=-1
a=-9
a=-40
Answer:
-1
Step-by-step explanation:
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A triangle has sides of lengths 12, 14, and 19. Is it a right triangle? Explain.
yes; 122 + 142 192
O no; 122 + 142
192
O no: 122 + 142 + 192
O yes: 122 + 142 =
+ 142 = 192
Answer:
It is C
Step-by-step explanation:
this is easy math for me
Please help anwser these. i hate math.
Answer:
2 is the answer to your question
HELP PLS!!!
Consider the function f(x). Select all of the following that include a horizontal compression of f(x).
A) 2f(x)
B) f(3x)
C) -f(x)+1
D) f(0.4x) - 1
E) f(6x) +9
F) -f(0.12x)
Answer: B, E
Step-by-step explanation:
You are at a bookstore and you are allowed to buy 9 books. You have already selected 3 books. Find the possible amount of books you can still select.
Answer:
6
Step-by-step explanation:
9 - 3 = 6
Helppp pleaseeee I really need help
Answer:
Step-by-step explanation:
S
Step-by-step explanation:
[tex] = \frac{(2c {}^{2} + c - 2) }{(c + 1)} \\ rationalise \: the \: denominator \\ = \frac{(2 {c}^{2} + c - 2)(c - 1)}{(c + 1)(c - 1)} \\ = \frac{(2 {c}^{3} - 2 {c}^{2} + {c}^{2} - c - 2c + 2) }{( {c}^{2} - {1}^{2} )} \\ = \frac{(2 {c}^{3} - {c}^{2} - 3c + 2 )}{( {c}^{2} - 1) } [/tex]
I need help on this ASAP
Answer:
That other person was such a troll but it by 43! Could you please mark me branllest? Only if you want to :)
Step-by-step explanation:
In trapezoid ABCD, the measure of
Answer:
Step-by-step explanation:
According to this diagram, what is tan 62°?
A 17/15
B 8/17
C 15/17
D 8/15
E 17/8
F 15/8
Abdullah expands (x - 3)2 and gets the answer x2 - 9. Describe what he has
done wrong.
Answer:
He squared the numbers inside without following the appropriate rule
Step-by-step explanation:
what he should have done
[tex](x-3)^2\\= x^2 - 2 *x*3+3^2\\= x^2-6x+9[/tex]
2
A pack of 5 of board games costs $75.
If there is a direct proportion between the price (y) and number of board games (2), which equation represents the
situation?
y = 75.2
By = 52
C y = 2
Dy = 152
Answer:
one board game cost 15 dollars
75/5=15
15y
y = number of board games and 15= the price of each board game
so to calculate any number of board games bought just input the number of board games bought for y in the expression 15y and you will get the price.
Step-by-step explanation:
Each classroom at a school has 24 desks. There are 18 classrooms in the school. How many desks are at the school?
A
444 desks
B
432 desks
C
424 desks
D
402 desks
Answer:
The answer is B. There are 432 desks in all 18 classes
How would you solve y=3/4x+9
Answer: i took a screen shot of the answer hope this helped
plz make brainly
Step-by-step explanation:
To add the fractions 3/4 and 7/12 what must be done first?
A. reduce the fractions to lowest terms
B. change to improper fractions
C. make the numerators the same
D. find a common denominator
Why is 3 x 1/10 less than 3 x 10?
Answer:
The value of 1 tenth is less than the value of 1 ten.
Step-by-step explanation:
Answer:
Because 3 x 1/10 = 3/10
whereas 3 x 10 = 30
and 3/10 < 30
Also b/c 1/10 < 10 and they are multiplied by the same value (3)
Step-by-step explanation:
Triangle ABC has vertices A(-2,0), B(2,5), C(3, 1). The reflection of the image of triangle ABC is triangle A'B'C' with vertices A(-2,0), B12, -5), C73.
-1). What is a rule that describes the reflection?
Answer: Reflection about x-axis
Step-by-step explanation:
Given
Initially, vertices are [tex]A(-2,0), B(2,5),C(3,1)[/tex]
After reflection they become [tex]A(-2,0),B(2,-5),C(3,-1)[/tex]
It is clear that the x coordinate remains unchanged and the y coordinate changes its sign. It occurs when reflection is done about the x-axis.
For example, when (a,b) is reflected about the x-axis, it becomes (a,-b).
So, here reflection is being done about the x-axis.
marked price rs 800 .
allow 15% discount .
profit is Rs 125.
find cp
Answer:
143.75
Step-by-step explanation:
this is a correct answer