Find the area of the triangle.
Answer:
1325 yd²Step-by-step explanation:
Area formula
A = 1/2bhGiven
b = 53 yd, h = 50 ydThen the area is:
A = 1/2(53)(50) = 1325 yd²What is the solution to
{y=14x+3y=2x+10
Answer:
The solution is ([tex]\frac{7}{12}[/tex] , [tex]\frac{67}{6}[/tex])
Step-by-step explanation:
∵ y = 14x + 3 ⇒ (1)
∵ y = 2x + 10 ⇒ (2)
→ Equate equations (1) and (2) to find x
∵ 14x + 3 = 2x + 10
→ Subtract 2x from both sides
∴ 14x - 2x + 3 = 2x - 2x + 10
∴ 12x + 3 = 10
→ Subtract 3 from both sides
∴ 12x + 3 - 3 = 10 - 3
∴ 12x = 7
→ Divide both sides by 12 to find x
∵ [tex]\frac{12x}{12}[/tex] [tex]\frac{7}{12}[/tex]
∴ x = [tex]\frac{7}{12}[/tex]
→ Substitute the value of x in equation (1) or (2) to find y
∵ y = 2([tex]\frac{7}{12}[/tex]) + 10
∴ y = [tex]\frac{7}{6}[/tex] + 10
∴ y = [tex]\frac{67}{6}[/tex]
∴ The solution is ([tex]\frac{7}{12}[/tex] , [tex]\frac{67}{6}[/tex])
fatore a equação
2x²-3xy-2y²-2x-11y-12
2x²-3xy-2y²-2x-11y-12
Write -3xy as a difference
2x²+xy-4xy-2y²-2x-11y-12
write -2x as a difference
2x²+xy-4xy-2y²+4x-6x-11y-12
Write -11y as a difference
2x²+xy-4xy-2y²+4x-6x-8y-3y-12
Factor out 2x from the expression
2x×(x-2y-3)+xy-2y²+4x-8y-3y-12
Factor out y from the expression
2x×(x-2y-3)+y×(x-2y-3)+4x-8y-12
Factor out 4 from the expression
2x×(x-2y-3)+y×(x-2y-3)+4(x-2y-3)
Factor out x-2y-3 from the expression
Answer: (x-2y-3)x(2x+y+4)
PLEASE MARK ME AS BRAINLIEST!!
find three consecutive numbers whose sum is 84
Answer:
three consecutive numbers that add up to 84 are 27,28 and 29
Step-by-step explanation:
27+28=55
55+29-=84
Two containers P and Q are filled with different amounts of water. Each container has a small hole. The graph shows the amount of water, V milliliters, left in each container after x minutes.
Explain what the y-intercept means in this scenario.
Answer:
Step-by-step explanation:
Equation of the line for container O and container P will be in the form of,
y = mx + b
Here m = slope of the line = Change in amount of water per minute
b = y-intercept
From the graph attached,
y-intercept 'b' represents the initial amount of water in the container.
For container O, initial amount of water in the container is 1000 mL.
Similarly, initial amount in the container is 900 mL.
A scratch-off lottery ticket has 14 concealed spaces among which are 4 symbols saying "Win!". The person who bought the ticket scratches the black yucky stuff off 3 spaces, winning an instant $10 if all three are winners. What's the probability of winning this game? I'm confused about this please help!
Answer:
Step-by-step explanation:
since this has something to do with chance im guessing maybe percentage of winnign this
so
4/14 x 100 so 28.57% probability of winning this game i believe
Exact answer as a fraction = 1/91
Approximate answer in decimal form = 0.010989
Approximate answer in percent form = 1.0989%
=====================================================
Explanation:
Let's think of the problem another way.
Let's say that we have 14 ping pong balls labeled 1 through 14. Furthermore, lets set up the first four balls {1,2,3,4} to be labeled with a star sticker. The rest don't have a star. The star stickers indicate a winning ball. All of the ping pong balls are then put into a bag where we will randomly pull out 3 of them. Replacements will not be made (ie the ball won't be put back). The goal is to get 3 star stickers in a row.
One possible combination is {1,2,7} which is close but not a winner since that 7 is there. Another possible combination is {5,8,12} which is not even close to a winner (since we didn't get 1,2,3 or 4).
---------
We have two questions we need to answer:
How many possible combinations are there? How many combinations are a winner?We'll use the nCr combination formula
[tex]_nC_r = \frac{n!}{r!*(n-r)!}[/tex]
We use the combination formula, instead of the permutation formula, because order does not matter. Something like {1,2,7} is the same as {7,1,2}.
If you plug in n = 14 and r = 3, you should find that 14 C 3 = 364.
I'll list the steps in the attached image below (to save space here).
This means there are 364 different ways to play the game. In other words, there are 364 ways to pull out three ping pong balls.
---------
That wraps up question 1. Now onto question 2.
We have 4 winning balls and 3 slots to fill, so we will plug n = 4 and r = 3 into the combination formula. I'll skip the steps because they're fairly similar to earlier. You could also use Pascal's Triangle to help. Whichever method you use, you should find that 4 C 3 = 4.
note: we have 4 winning balls and 3 slots to fill, so you can think of it like "how many ways are there to not choose a ball?" and that answer would be 4.
So this means there are 4 ways to win the game.
------------------------------------
In summary so far, we found
There are 364 ways to play the gameThere are 4 ways to win the gameThis means the probability of winning is 4/364 = 1/91
Use your calculator to find that 1/91 = 0.010989 approximately which converts over to the approximate percentage of 1.0989%
0.571428
is or is not the decimal equivalent of
4
7
. Write your answer in the space provided.
Answer:
4 ÷ 7 = 0.571428
Step-by-step explanation:
4 ÷ 7 = 0.571428
Can someone please answer these questions???!
Answer:
Step-by-step explanation:
sub in all your x values into the linear equation it gives you
once you have your table you should be able to figure out the rest if the questions !!
what is speed of sound in air at 100 degree celcius?
Answer:
386m/s is the answer to your question
)A triangle is shown on the graph:
What effect will a 90-degree clockwise rotation have on the triangle? Be sure to address how it could impact the angles, side lengths, and any congruency between the original pre-image and the image.
Answer:
45
Step-by-step explanation:
Answer:
45 idrk
Step-by-step explanation:
SCOOBY-dooby-do-la-de-da-de-da
Suppose your community has 3580 people this year. The population is growing 2.5% each year. a. Write an exponential function to model the population. b. What will the population be in 3 years? c. Graph the function and give the domain and range.
Answer:
Step-by-step explanation
sadly i dont understand
I’ll post part one but plz help it’s worth 15POINTS I’ll mark as Well!!!!
Answer:
Wellll
Step-by-step explanation:
Arunner jogs 2 mi 120.3 yd. how far does the runner jog in meters?
round your answer to the nearest tenth of a meter.
conversion ratios:
1 m = 3.3 ft
3 ft = 1 yd
5,280 ft = 1 mi
1,760 yd = 1 mi
?
Answer:
To the nearest tenth of a meter, this is 3,309.4 m
Step-by-step explanation:
Here, we want to convert the jogging distance to meters only
we have 2 miles 120.3 yards
5,280 ft = 1 mile
2 miles will be 5,280 * 2 = 10,560 ft
3 ft = 1 yard
x ft = 120.3 yards
x = 120.3 * 3 = 360.9 ft
Adding both together to give ft only, we have
360.9 + 10,560 = 10,920.9 ft
1 m = 3.3 ft
x m = 10,920.9 ft
x = 10,920.9/3.3
x = 3,309.363636363636
To the nearest tenth of a meter, this is 3,309.4 m
Scott bought three bags of candy with 75 pieces in each one. He plans to divide all the candy evenly among seven friends. How many pieces of candy will Scott have left for himself?
Answer:
he will have 28 pieces
Step-by-step explanation:
75*3=250
250/8=28
Insert a rational number between 1/2 and 1/3 by mean method?
Answer:
[tex]\frac{5}{12}[/tex]
Step-by-step explanation:
To find a rational number by the mean method.
Add the 2 fractions and divide the result by 2
[tex]\frac{1}{2}[/tex] + [tex]\frac{1}{3}[/tex]
To add the fractions we require them to have a common denominator.
The LCM of 2 and 3 is 6 ← required common denominator
Multiply numerator/denominator of first fraction by 3
Multiply numerator/denominator of second fraction by 2
= [tex]\frac{1(3)}{2(3)}[/tex] + [tex]\frac{1(2)}{3(2)}[/tex]
= [tex]\frac{3}{6}[/tex] + [tex]\frac{2}{6}[/tex] ( add numerators, leaving denominator )
= [tex]\frac{5}{6}[/tex]
Now divide by 2
[tex]\frac{5}{6}[/tex] ÷ 2 leave first, change division to multiplication, turn second upside down )
= [tex]\frac{5}{6}[/tex] × [tex]\frac{1}{2}[/tex]
= [tex]\frac{5}{12}[/tex]
This is the fraction midway between the 2 given fractions
Last one pls help me
Answer:
√89
Step-by-step explanation:
I assume you have to find the short cut, right?
5² + 8² = 25 + 64 = 89 = ( √89 )²
write as an algebraic expression: Two less than two times a number (y).
Answer: 2y-2
Step-by-step explanation:
Y represents the number
If you were to solve this you would have to do 2 times a number which is shown by 2y.
Then, you need to subtract 2 from 2y.
Therefore, the answer is 2y-2
The expression for the given verbal expression is 2y-2.
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given is a verbal expression, Two less than two times a number.
We need to convert it into mathematical expression,
Let the number be y,
Therefore, two times a number = 2y
And Two less than = -2
Therefore,
Two less than two times a number = 2y-2
Hence, the expression for the given verbal expression is 2y-2.
Learn more about expression, click;
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Lickety Sweet's Candy Store sells candy by the ounce. Maura paid $3.48 for a 12-ounce bag of hard watermelon candies and $1.28 for an 8-ounce bag of chewy chocolate candies. How much more do the watermelon candies cost per ounce than the chocolate candies?
Answer:
The Watermelon candies cost 13 more cents then the chocolate.
Step-by-step explanation:
$3.48 divided by 12 is 29 cents
$1.28 divided by 8 is 16 cents
Subtract 16 from 29 and get 13
If Lickety Sweet's Candy Store sells candy by the ounce. Maura paid $3.48 for a 12-ounce bag of hard watermelon candies and $1.28 for an 8-ounce bag of chewy chocolate candies, then she paid 13 more cents for watermelon candies cost per ounce than the chocolate candies
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Lickety Sweet's Candy Store sells candy by the ounce.
For 12-ounce bag of hard watermelon candies Maura paid $3.48
For 8-ounce bag of chewy chocolate candies Maura paid $1.28
Let us find cost of each watermelon candie
$3.48 divided by 12
3.48/12=29 cents
$1.28 divided by 8
1.28/8=16 cents
Subtract 16 from 29 and get 13
29-16=13
Hence 13 cents more do the watermelon candies cost per ounce than the chocolate candies
To learn more on Equation:
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Help I mark brainliest
Answer:
-r ^3
Step-by-step explanation:
There are 76 people signed up for a speedboat tour. Each speedboat can transfer 9 people. How many speedboats will be needed for the people who signed up?
Given:
Total number of people who signed up = 76
Each boat can transfer = 9 peoples
To find:
The number of boats required.
Solution:
We know that,
[tex]\text{Required number of boats}=\dfrac{\text{Total number of peoples}}{\text{Number of peoples transferred by each boat}}[/tex]
On substituting the values, we get
[tex]\text{Required number of boats}=\dfrac{76}{9}[/tex]
[tex]\text{Required number of boats}=8.44...[/tex]
Number of required boats must be a whole number. So, approximate the data to the next whole number.
[tex]\text{Required number of boats}=9[/tex]
Therefore, the required number of boats is 9.
Which of the following is the missing value?
a. 0.27
b. 0.30
c. 0.37
d. 0.50
Answer:
answer is b
Step-by-step explanation:
When x=1, find the value of y
1) -3
2) -1
3)1
4)-4
Answer:
y = -3
Step-by-step explanation:
The equation of the line is y = -x -2
We plug in the given x value into the equation to find y.
y = -(1) - 2
Simplify.
y = -3
A chess Club with 80 members is electing a new president. Yoko received 72 votes. What percentage of club members voted for Yoko?
Answer:
90%
Step-by-step explanation:
You can make the votes simple by dividing 8 on 80 and 72
80 becomes 10
72 becomes 9
You can do this because we done the same thing to both sides
now it is Yoko got 9 out of 10 and we know 9 out of 10 is 9/10 or 90/100 which mean Yoko got 90% of the club members vote
Answer:
90%
Step-by-step explanation:
You can make the votes simple by dividing 8 on 80 and 72
80 becomes 10
72 becomes 9
You can do this because we done the same thing to both sides
now it is Yoko got 9 out of 10
and we know 9 out of 10 is 9/10 or 90/100 which mean Yoko got 90% of the club members vote
Hope this helps!
1
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3
4
5
6
7
8
9
10
Which of the following could be the number shown on the number line?
A. 172
B. V 79
C.
82
D. 63
Answer:
A
Step-by-step explanation:
8.5 x 8.5= 72.25
so basically it's the closest answer
lemon made 8 5/8 cups of lemonade. she drank 4 3/8 cups of the lemonade. how many cups of lemonade does she have left
Answer: 4 1/4
Step-by-step explanation:
8 5/8
-4 3/8
4 2/8 or 4 1/4
Which of the following is an equivalent expression to the given expression using the commutative property of addition?
2(xy)+5x
Question 1 options:
(xy)2+5x
(2x)y+5x
5x+2(xy)
x(2y+5)
Answer:
I think it's the 2rd equation
Write 24/25 as a decimal.
What is the slope of a line that passes through these points? (5, 3) and (4, 1).
9514 1404 393
Answer:
2
Step-by-step explanation:
The slope can be found from the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (1 -3)/(4 -5) = -2/-1
m = 2
The slope of the line is 2.
Answer:
2
Step-by-step explanation:
ΔY = 1 – 3 = -2
ΔX = 4 – 5 = -1
two negatives make a positive
Express the sum of the polymonial 3x^2+15x-56 and the square of the binomial (x-8) as a polynomial in standard form.
Given:
Polynomial is [tex]3x^2+15x-56[/tex].
To find:
The sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form.
Solution:
The sum of given polynomial and the square of the binomial (x-8) is
[tex]3x^2+15x-56+(x-8)^2[/tex]
[tex]=3x^2+15x-56+x^2-2(x)(8)+8^2[/tex] [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]
[tex]=3x^2+15x-56+x^2-16x+64[/tex]
On combining like terms, we get
[tex]=(3x^2+x^2)+(15x-16x)+(-56+64)[/tex]
[tex]=4x^2-x+8[/tex]
Therefore, the sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form is [tex]4x^2-x+8[/tex].
The probability of event A is 0.2 and probability of event B is 0.3. Given that A and B are independent, then the probability of A and B (A intersection B) is: Choose one • 10 points 5% 6% 9% 13%
Answer:
[tex]P(A\ n\ B) = 6\%[/tex]
Step-by-step explanation:
Given
[tex]P(A) = 0.2[/tex]
[tex]P(B) = 0.3[/tex]
Required
Determine [tex]P(A\ n\ B)[/tex]
Since both events are independent;
[tex]P(A\ n\ B) = P(A) * P(B)[/tex]
[tex]P(A\ n\ B) = 0.2 * 0.3[/tex]
[tex]P(A\ n\ B) = 0.06[/tex]
Convert to %
[tex]P(A\ n\ B) = 0.06 * 100\%[/tex]
[tex]P(A\ n\ B) = 6\%[/tex]