Answer:
S = {1, 2, 3, . . . 49, 50}, n(S) = 50 (i) Condition for event A : number is divisible by 6. A = {6, 12, 18, 24, 30, 36, 42, 48} n(A) = 8 (ii) Condition for event B : the number on the card is a complete square. B = {1, 4, 9, 16, 25, 36, 49} n(B)
Step-by-step explanation:
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Write 8 as a percentage of 32
Plssss helppp
Answer:
25% of 32 is 8
Step-by-step explanation:
[tex]\frac{x}{100} * 32 = 8\\\\x = 25%[/tex]
Therefore, 25% of 32 is 8.
8 is 25% of 32.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100.
We know that, 8/32=1/4
in percentage form, 8 of 32= 1/4×100
=25%
Hence, 8 if 25% of 32.
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Mary Lou is twice George’s age and Kate is one year younger than George. The sum total of their ages is 27. How old is each person?
Answer:
Mary Lou is 14
George is 7
Kate is 6
Step-by-step explanation:
let G = George's age
let 2G = Mary Lou's age
let G-1 = Kate's age
G + 2G + G-1 = 27
4G = 28
G = 7
2G = 14
G-1 = 6
Which graph shows a polynomial function of an even degree?
the answer is the first graph, A
Write an equation for the line that is parallel to the given line and that passes through the given point. y = 1/2x - 8; (-6, -17).
Answer:
y = 1/2x - 14
Step-by-step explanation:
Parallel lines have the same gradient
So,
gradient for second line = gradient of the first line = 1/2
Also,
the line passes through (-6,-17)
So, we can find the y-intercept by substitution
y = mx + c
-17 = (1/2 * -6) + c
-17 = -3 + c
c = -14
So,
the equation is y = 1/2x - 14
( 4 x 5 )^2- 6 + 3 =
Answer:
397
Step-by-step explanation:
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Dane sold a television for$35000 He was paid paid $1,750 in commission for his sale. At what rate was he paid commission for the television?
Find the distance between the two points, and explain if you want to.
Step-by-step explanation:
the answer is in the above image
A farmer stores chicken feed in cartons. Together, 3 cartons hold 9 cubic feet of space in all. How many cartons does the farmer need to store a total volume of 72 cubic feet of chicken feed?
Answer:
45
Step-by-step explanation:
because 3 x 9 is 27 and then your gonnna want to subtract 72 and 27 and that really how i got 45 by multiplication and subtraction sorry if it wrong
18 divided by under root 18
Answer:
18
√18
=3√2(Decimal: 4.242641)
In a survey of 3,500 people who owned a certain type of car, 1,225 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
A bank account has an initial deposit of $14,000. After 8 years, the bank account
has $18,000. Assuming that compounding interest is done annually and that no
withdrawals are taken, find the annual interest rate on the investment. If the interest is compounded annually what is the approximate interest rate on the investment?
Answer:
2.3%
Step-by-step explanation:
18000 = 15000( 1 + i)^8
Divide both sides by 15000
1.2 = (1 + i)^8
Take both sides to the 1/8 power
1.2^(1/8) = 1 + i
1.023051875220463 = 1 + i
Subtract 1 from both sides
i = 0.023051875220463
~ 2.3%
geometric probability
PLEASE HELP!
Answer:
Step-by-step explanation:
The red sections are sectors of the circle. We need that area. We'll find one then multiply it by 2, since they're both the same.
[tex]A_s=\frac{60}{360}\pi (4)^2\\A_s=\frac{1}{6}\pi (16)\\A_s=8.377[/tex]and now we multiply it by 2 to get the red area:
[tex]A_s=16.754[/tex]
And now the area of the circle:
[tex]A_c=\pi (4)^2\\A_c=16\pi\\A_c=50.265[/tex] and now divide to get the percentage:
[tex]\frac{16.754}{50.265}*100=[/tex] 33.3%
What is the pre image vertices?
Answer:
you divide all the numbers so the triangle will be at -2.5x, 1x and 2y and the rectangle is multiplied by 2 so 5x and 4y
Step-by-step explanation:
Write an exponential function in the form y = ab" that goes through points (0,7)
and (9,3584).
Answer:
Step-by-step explanation:
I'm going to assume you meant y = ab^x. If this is not correct, leave a comment.
x = 0
y = 7
7 = a * b^0
anything to the zero power is 1
y = a*b^0
y = a*1
7 = a
So far what you have is
y = 7 * b^x
Now let
x = 9
y = 3584
3584 = 7 * b^9 Divide by 7
3584/7 = b^9
512 = b^9
If you knew how to use logs, that would be the surest way to do this question. However I'm going to make an assumption again and assume that you have not taken those yet.
So the easiest way is to find out what raised to the 9th power will equal 512
Could b = 5?
5^9 = 1 million 9 hundred thousand something. 5 is far too big. Make sure you understand why. 1 million is far greater than 512
So let's try b = 3
3^9 = 19 thousand which is still far too big. 19 thousand something is far larger than 512.
We have just one more number that we can try.
2^9 = 512 and we have it
Answer y = 7*2^x
I feel like i’m wrong lol, Correct me please.
On a coordinate plane, a curved line with minimum values of (negative 1.5, negative 2) and (1.5, 2), and a maximum value of (0, 4), crosses the x-axis at (negative 2, 0), (negative 1, 0), (1, 0), and (2, 0), and crosses the y-axis at (0, 4).
Which is an x-intercept of the graphed function?
(0, 4)
(–1, 0)
(4, 0)
(0, –1)
Answer:
It's (-1,0)
Step-by-step explanation:
Just did the question.
Answer:(-1,0)
Step-by-step explanation:
Two-thirds of a number is 5 more than half of it . What is the number ?
Answer:
2.50 is the answer of the question
3. What are the features of an Informative Text?
a. topic sentence, supporting details and clinching sentence
b. introduction, body and conclusion
c. unity, completeness, coherence and emphasis/order
d. informal and incomplete
I need help with this I don’t understand.
Answer:
the added degree of m1 and m2 equal m4
PLS HELP In the diagram below, ΔPQR ≅ ΔSTR. Complete the statement ∠P ≅ ___
A. ∠S
B. ∠PRQ
C. ∠T
D. ∠PQR
Find the equation of the line that passes through the points A (2, 3) and B (5, -7)
Answer:
10x+3y=29
Step-by-step explanation:
Given points:(x1,y1)=(2,3)
(x2,y2)=(5,-7)
We know, the equation of line passing through two points is given by,
y-y1={(y2-y1)/(x2-x1)}*(x-x1)
Hence,y-3={(-7-3)/(5-2)}*(x-2)
or,y-3=(-10/3)*(x-2)
or,3y-9= -10x+20
or,3y+10x=20+9
or,10x+3y=29 is the required equation.
10. How many solutions does this system of equations have? Explain how you know.
y = -4x + 3
2x + 8y = 10
What is the smallest perimeter a rectangle of area 12 cm can have?
A.12 cm
B.14 cm
C.16 em
D.26 cm
Answer:
14 cm
Step-by-step explanation:
The maximum area of a rectangle (actually square) with a perimeter of 14 can have is 12.25 cm². So the smallest perimeter a rectangle of 12 cm² i just a little below 14 cm, namely 4sqrt(12) = 13.86 cm.
Helppp please and thank you!!
Answer:
Step-by-step explanation:
3,-3
Which?
A
B
C
D
Help me for 20 points!!!
Answer:
8/5
Step-by-step explanation:
7 3/10-5 7/10=8/5
Which are vertical angles?
Answer:
The verticle angles are AB and ED
Step-by-step explanation:
A recipe ofr one cookie requires 3/4 cups of sugar. If Joes has all the other ingreidiants he needs for an endless supply of cakes, how many ckaes can he make if he has a bag of 6 cups of sugar?
Answer:
ok is this a troll
Step-by-step explanation:
the cake doesnot correspond to the cookie
PLS ANSWER ASAP DUE AT 9:20
Answer:
option B
Step-by-step explanation:
[tex]16x + 20y = (4 \times 4x) + (4 \times 5y) = 4 \times (4x + 5y)[/tex]
Solve the inequality.
1
x+5 < 6
2
Help me please
Answer:
If we are solving x + 5< 6 the inequality is x< 1
Step-by-step explanation:
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Convert 60 degrees to Radians.
