x^2 - 12x + 36 is a perfect square trinomial and can be written as (x-6)(x-6).
(x - 6)^2 = 44.
Take the square root of both sides to get...
x - 6 = ±√44 (Always make the square root + or - when you square root)
Add 6 to both sides...
x = √44 + 6
x = -√44 + 6
These are the 2 values of x.
You can also write it to be -0.633 and 12.633. (Once you round.)
49 x 17 + 49 x3 distributive law
Answer:
49(17+3) =980
Step-by-step explanation:
49*17+49*3
49(17+3)
49*20
980
Jillian’s school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales for opening night totaled $2071.50. The equation 10.50 a plus 3.75 b equals 2071.50, where a is the number of adult tickets sold and b is the number of student tickets sold, can be used to find the number of adult and student tickets. If 82 students attended, how may adult tickets were sold? adult tickets
Answer:
168 adult tickets
Step-by-step explanation:
3.75(82) (82 students)
307.5
2071.5 - 307.5 ( you subtract since you only need to know the number of adults)
1764
1764/10.5 (you divide since each adult is 10.5$)
168
The number of adult tickets sold was 168.
Given that, the tickets cost $10.50 for adults and $3.75 for students. The ticket sales for opening night totaled $2071.50.
Total number of students =82
What is the system of equations?In algebra, a system of equations comprises two or more equations and seeks common solutions to the equations. "A system of linear equations is a set of equations which are satisfied by the same set of variables."
a is the number of adult tickets sold and b is the number of student tickets sold.
Now, 10.50a+3.75b=2071.50
Put b=82 in the equation 10.50a+3.75b=2071.50 and simplify.
10.50a+3.75×82 =2071.50
⇒10.50a+3.75×82 =2071.50
⇒10.50a+307.5 =2071.50
⇒10.50a=1,764
⇒a=168
Therefore, the number of adult tickets sold was 168.
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Franceska charges eight dollars an hour to babysit children five years of age and younger and six dollars an hour to babysit children over five years of age this week Francisco spent 10 hours babysitting a two-year-old and five hours babysitting an eight-year-old and how much money did Francisco make from babysitting this week
Answer:
Francisco/Franceska made 110 dollars.
Step-by-step explanation:
$8/hr- less than 5yrs
$6/hr- more than 5yrs
10hrs- 2yr old=$80
5hrs- 8yr old= $30
30+80= $110 this week
Answer:
$110
Step-by-step explanation:
Ages 5 and younger- $8
Ages over 5- $6
2 year old-10 hrs= 10x$8=$80
8 year old-5 hrs= 5x$6=$30
$80+$30=$110
In 12 years Pete will be three times as old as he was 16 years ago. How many years old is
Pete today
Answer:
Pete would be 36 years old.
Step-by-step explanation:
The equation is 16 x 3 = 48 then you should just do 48 - 12 which gives you 36.
8+2x=2x+8 which property is it
Answer:
Answer is 0
Step-by-step explanation:
Answer:
Commutative property
Step-by-step explanation:
This is because, when two numbers / variables are being added (Or even multiplied) they are commutative which means that the order of the numbers can be changed.
If my answer helped, kindly mark me as the brianliest!!
Thank You!!
please help meee I will give a brainleist to anyone that answeres !!!!!
Answer:
1) > 2) 4^6 3) 3072
Step-by-step explanation:
I don't understand these 2 problems, can someone help me please
Answer:
32 servings of cake
Step-by-step explanation:
so you are trying to figure out how much cake you can make if each box makes 12 servings
you have 8 eggs
2 cups of oil
4 boxes of cake mix
unlimited water
so each box needs 1/3 cup of oil, 3 eggs, and 1 cup of water.
you only have enough eggs to make 2 and 2/3 boxes of cake.
this means that you can make 32 servings of cake.
What is the sum? 3/8 • (-3/6)
Answer: The answer is -3/16
Step-by-step explanation: brainlest please
If an object fell to the ground from the top of a 1,600-foot-tall building at an average speed of 160 feet per second, how long did it take to fall?
10 seconds
16 seconds
100 seconds
160 seconds
Answer:16 I think
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
i took the test
Hey guys! I need help please
A football coach needed to divide 48 players into two groups.He want the ratio of group 1 to group 2 to be 1:3. How many players are in group 2 ? Can you please explain how you solved it? Thank you
the length of a rectangle is 6 inches longer than its width. If the perimeter of the rectangle is 48 inches, find its area
What is the length of ? A. 13 B. 9 C. 81 D. 11
Answer:
C. 81
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
AP3X
Bowl B1 contains two white chips, bowl B2 con-tains two red chips, bowl B3 contains two white and two red chips, and bowl B4 contains three white chips and one red chip. The probabilities of selecting bowl B1, B2, B3, or B4 are 1/2, 1/4, 1/8, and 1/8, respectively. A bowl is selected using these probabilities and a chip is then drawn at random. Find (a) P(W), the probability of drawing a white chip. P(B1 I W), the conditional probability that bowl B1 had been selected, given that a white chip was drawn.
Answer:
By using law of total probability:
P(W) = ∑i P(Bi ) P(W/Bi)
=1/2 .1 + 1/4 .0 + 1/8 .1/2 + 1/8 .3/4
=1/2 + 0 + 1/16 + 3/32
= 21/32
= 0.656
Step-by-step explanation:
B1 contains = two white chips
B2 contain = 2 red chips
B3 contain = 2 white and 2 red chips
B4 contains = 3 white chips and 1 red chips
P(B1) = 1/2
P(B2) = 1/4
P(B3) = 1/8
P(B4) = 1/8
Probability of drawing white chips:
P(W / B1) = 2. 1/2 = 1
P(W/B2) = 0/2 = 0
P(W/B3) = 2/4 = 2
P(W/B4) =3/4
By using law of total probability:
P(W) = ∑i P(Bi ) P(W/Bi)
=1/2 .1 + 1/4 .0 + 1/8 .1/2 + 1/8 .3/4
=1/2 + 0 + 1/16 + 3/32
= 21/32
= 0.656
1. $65 to $75
2. 350 yards to 420 yards
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Step-by-step explanation:
i need more things like what's the whole problem?
plus $10
70 yards
will u help meee out
Answer:
What's the question?
Step-by-step explanation:
Help! Quick
25 + (–17) + 16 + ______ = 0
Write about a real-life situation that could be described with the expression 1286 +953.
Julie wants to go to a theme park, so she starts a lemonade stand to make extra money. On Saturday, it's really hot, and several people buy lemonade, so she makes a total of $1,286. On Sunday, it's raining, so she only makes $953. How much money did Julie make from selling lemonade?
Later you have another chocolate bar. This time, after you give away 1/3 of the
bar, a friend breaks off 3/4 the remaining piece. What part of the original
chocolate bar do you have left?
Answer:
chocolate bar - 1 (whole number)
Step-by-step explanation:
[tex]1 - \frac{1}{3} \\ > \frac{3}{3} - \frac{1}{3} = \frac{2}{3} [/tex]
[tex] \frac{2}{3} - \frac{3}{4} \\ > \frac{2 \times 4}{3 \times 4} - \frac{3 \times 3}{4 \times 3} \\ \\ \\ > \frac{8}{12} - \frac{9}{12} [/tex]
so I switch it become
[tex] \frac{9}{12} - \frac{8}{12} = \frac{1}{12} [/tex]
2 consecutive even integers have a quotient of 1.2 Write an equation to find the numbers.
Answer:
Step-by-step explanation:
Solve it your self dummy
A squirrel is 1.1 feet tall. The squirrel shrinks to 1/10 of its height. How tall is the squirrel now? (This is an easy question for 10 points)
Answer:
the answer to the question is 0.11
Jesus Christ had dreads so shake em', I ain't got none but I'm planning on growing some
Answer:
ok................
Step-by-step explanation:
Answer:
Go for it?
Step-by-step explanation:
Also thanks for the points! Have a great day :D
An app developer projects that he will earn $20.00 for every 8 apps downloaded. Write an equation to represent the proportional relationship between the number of apps and the total earnings.
Answer:
m = 20.00 x (a/8)
m = money
a = apps
Forgive me if this is incorrect, I haven't worked with proportional relationships in a while.
Answer:
y=2.5
Step-by-step explanation:
Andrew has 20 more goldfish than Todd .together they have 80 goldfish how many goldfish does each boy have
Hi!
Lets work through this problem together.
If they have 80 Goldfish in all, and Andrew has 20 more than Todd, that means that means Andrew has i think 60.
Evaluate this expression (6 x 10³) ÷ (3 x 10²) Express your answer in scientific notation.
HELPPPP
9514 1404 393
Answer:
2×10¹
Step-by-step explanation:
For division, mantissas divide, and exponents subtract.
[tex]\dfrac{6\times10^3}{3\times10^2}=\dfrac{6}{3}\times10^{3-2}=\boxed{2\times10^1}[/tex]
Danielle sells lemonade and orange juice. Each glass of lemonade $3. Each glass or orange juice $2. She writes the number patterns to represent the costs. Which describes the costs of the drinks?
Lemonade: 0, 3, 6, 9, 12, 15..
Orange juice:0, 2, 4, 6, 8, 10..
A. Each glass or lemonade costs $1.50 more than glass or orange juice.
B. Each glass of lemonade costs 1 1/2 times the cost of each glass of orange juice.
C. Each glass of orange juice costs 1 1/2 times the cost of each class glass or lemonade
D. Each glass of orange juice costs $2.00 less than each glass of lemonade
Answer:
B
Step-by-step explanation:
3 / 2 = 1.5
Calculate the sum of the infinite series 72+60+50+125/3+...
The sum of the given infinite series is 432.
The given infinite series is 72+60+50+125/3+.......
What is the sum of the infinite series formula?The general formula for finding the sum of an infinite geometric series is S=a/r-1, where s is the sum, a1 is the first term of the series, and r is the common ratio.
From the series a=72 and r=60/72 =5/6
So, sum = [tex]\frac{72}{1-\frac{5}{6} }[/tex]
= [tex]\frac{72}{\frac{1}{6} }[/tex]
= 72×6
= 432
Hence, the sum of the given infinite series is 432.
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It takes Daphne 25 minutes to assemble a model plane. During her work
minutes for lunch and one 15 minute break. Which inequality could Daphne use to determine the number
of model planes, p, she can assemble in her 8 hour work day?
A. 25p – 45 > 8
B. 25p + 45 2 8
C. 25p – 45 < 480
D. 25p + 45 < 480
Answer: b 25p+45>= 8
Step-by-step explanation:
what’s the answer smh
Step-by-step explanation:
no.C I think?............
Simplify and divide the following radical expression: 7/ 8√7
Answer:
Answer:
3
√
5
5
Step-by-step explanation:
What value of n makes the equation 0.3(12 n-16)=0.4(12-3n) true
Answer:
n=2
Step-by-step explanation:
I believe that n= 2. please correct me if I am wrong.
The relationship between the number of pounds (lb) of beef and the total cost
in dollars is shown in the graph. What is the unit price of beef?
A. $1/ 5 lb
B. $10/ 2 lb
C.$5/ 1 lb
D. 1 lb/ $5
Answer:
C.
Step-by-step explanation.
The unit price of the beef is $5 for 1 pound. Then the correct answer is option C.
What is a graph?
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The given graph is following the linear pattern for the price of the beef. In the graph, the cost of 1 pound of beef is $5 or for 2 pounds it is 10$.
The equation for the linear graph is written as:-
Cost = $ [ 5 ( Weight )]
Hence, the correct answer is option C.
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