Answer:
B. (8, 1)
Step-by-step explanation:
Given M(6, 5) as midpoint of PQ, and P(4, 9),
let [tex] P(4, 9) = (x_2, y_2) [/tex]
[tex] Q(?, ?) = (x_1, y_1) [/tex]
[tex] M(6, 5) = (\frac{x_1 + 4}{2}, \frac{y_1 + 9}{2}) [/tex]
Rewrite the equation to find the coordinates of Q (x1, y1):
[tex] 6 = \frac{x_1 + 4}{2} [/tex] and [tex] 5 = \frac{y_1 + 9}{2} [/tex]
Solve for each:
[tex] 6 = \frac{x_1 + 4}{2} [/tex]
Multiply both sides by 2
[tex] 6*2 = \frac{x_1 + 4}{2}*2 [/tex]
[tex] 12 = x_1 + 4 [/tex]
Subtract 4 from both sides
[tex] 12 - 4 = x_1 + 4 - 4 [/tex]
[tex] 8 = x_1 [/tex]
[tex] x_1 = 8 [/tex]
[tex] 5 = \frac{y_1 + 9}{2} [/tex]
Multiply both sides by 2
[tex] 5*2 = \frac{y_1 + 9}{2}*2 [/tex]
[tex] 10 = y_1 + 9 [/tex]
Subtract 9 from both sides
[tex] 10 - 9 = y_1 + 9 - 9 [/tex]
[tex] 1 = y_1 [/tex]
[tex] y_1 = 1 [/tex]
Coordinates of Q is (8, 1)
33/(20-9)
33 divided by (20-9) I need help
Answer: 3
Step-by-step explanation:
To solve, we need to use algebraic properties.
[tex]\frac{33}{(20-9)}[/tex] [parenthesis]
[tex]\frac{33}{11}[/tex] [divide]
3
A company was able to increase its staff from 127 employees to 204
employees. What was the percentage increase in staff? Round your
answer to the nearest tenth.
I got this question wrong. So the 50% is not right. Please help.
Answer:
25%
Step-by-step explanation:
sorry if its wrong but im pretty sure its 25%
the answer is 3/8
give me a brainliest
Mr. Josey is tasked with cutting the grass this weekend. He can cut 1/4 of the yard in 20 minutes. How long will it take to cut the entire yard?
Find the perimeter of the shape below. Show your work!! Use 3.14 as an approximation for pi. Round solution
to nearest hundreth.
12 cm
7 cm
Answer:
The perimeter of the shape below is 44.48cm
Step-by-step explanation:
To calculate the perimeter of this figure we have to add
7cm + 12cm + 7cm + ( perimeter of semicircle)
To calculate the perimeter of the semicircle we have to use the following equation
d = 12cm
r = d/2 = 12cm/2 = 6cm
c = perimeter of semicircle
r = radius = 6cm
π = 3.14
c = π * r
we replace with the known values
c = * 3.14 * 6cm
c = 18.84cm
The perimeter of the semicircle is 18.84cm
Now that we have this value we can calculate the perimeter of the figure
7cm + 12cm + 7cm + ( 18.84cm ) = 44.48cm
The perimeter of the figure is 56.84 cm
What is the area of the rectangle?The formula for area is equal to the product of the length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.
Given here: A semicircle on top of the rectangle with dimensions 12, 7 cm respectively .
Thus perimeter of the figure = perimeter of semi circle+ perimeter of rectangle
∴ 3.14×6+2(12+7)=56.84 cm
Hence, The perimeter of the figure is 56.84 cm
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Daniella is celebrating her birthday by inviting her friends to the movies. At the early show, she can buy tickets
for $5 each and she plans on spending $20 on snacks. If y is the total cost she will spend, write an equation that
matches this situation.
Answer:
y=5x+20
Step-by-step explanation:
Please help. BRAINLIEST TO BEST ANSWER
Answer:
b
Step-by-step explanation:
we have the point
[tex](2,-4)[/tex]
so when
x=2
y=4
so we can try on all equations
[tex]y_1=2|x-2|-4\\\\y_1=2|2-2|-4\\\\y_1=2|0|-4\\\\y_1=0-4\\\\y_1=-4[/tex]
so equation 1 could be
[tex]y_2=\frac{1}{2} |x-2|-4\\\\y_2=\frac{1}{2}|2-2|-4\\\\y_2=\frac{1}{2}|0|-4\\\\y_2=0-4\\\\y_2=-4[/tex]
so equation 2 could be
[tex]y_3=2|x+2|-4\\\\y_3=2|2+2|-4\\\\y_3=2|4|-4\\\\y_3=8-4\\\\y_3=4[/tex]
so equation 3 is not
[tex]y_4=\frac{1}{2}|x+2|-4\\\\y_4=\frac{1}{2}|2+2|-4\\\\y_4=\frac{1}{2}|4|-4\\\\y_4=\frac{1}{2}(4)-4\\\\y_4=2-4\\\\y_4=-2[/tex]
so equation 4 is not
So another point that we have is
[tex](0,-3)[/tex]
so we plug in
[tex]y_1=2|x-2|-4\\\\y_1=2|0-2|-4\\\\y_1=2|-2|-4\\\\y_1=4-4\\\\y_1=0[/tex]
so this isn't
[tex]y_2=\frac{1}{2}|x-2|-4\\\\y_2=\frac{1}{2}|0-2|-4\\\\y_2=\frac{1}{2}|-2|-4\\\\y_2=\frac{1}{2}(2)-4\\\\y_2=1-4\\\\y_2=-3[/tex]
so the answer is b
2 bracket 2x-2 bracket=12
4 boxes of candy costs $ 10. How much
would 14 boxes of candy cost?
Answer:
14 boxes of candy would cost $35
Step-by-step explanation:
First find the unit price. It is $2.50 per box. Next multiply it by 14. It is $35 for 14 boxes of candy.
I hope this helped and have a great day.
(Please vote this the brainliest)
Help ASAP pllllllllllsssssssssssssssssss
Answer:
15
Step-by-step explanation:
multiply the 6 by 3 and get 18, so do the same for the top, so 5 x3 = 15
Solve for E.
h=E/mg
Answer:
hmg = E
Step-by-step explanation:
Step 1: Write equation
h = E/mg
Step 2: Multiply both sides by mg
hmg = E
HELP! Due in 10 mins! Pls I rlly need this!!!
The length of a rectangle is twice the width. The perimeter is 48in. Find the dimensions of the rectangle.
Answer:
w = 6in
l = 12in
Step-by-step explanation:
To solve this problem we propose 2 equations
2w + 2l = 48in
l = 2w
We replace the value of l = (2w) into the first equation and solve
2w + 2(2w) = 48in
2w + 4w = 48in
6w = 48in
w = 48in/6
w = 8in
we replace the value of w and solve
l = 2(8in)
l = 16in
6 2/3÷1/5 Express your answer as a mixed number in simplest form. Enter your answer in the box.
Answer:
33 1/3
Step-by-step explanation:
1. First, you want to make 6 into a fraction with a bottom/denominator of 3 to make adding 6 and 2/3 easier. So, to make 6 into a fraction with a denominator of 3 , you multiply 6 by 3 to get 18. The 18 is the numerator (top of the fraction) and 3 is the denominator (the bottom). So now you have 18/3+2/3 divided by 1/5.
2. Now, add the 18/3 and the 2/3 to get 20/3 divided by 1/5.
3. After this, you want to divide. To divide fractions, you use Keep, Change, Flip (KCF). To do this, keep the 20/3 the same, change the division sign to multiplication, and flip the 1/5 to 5/1. So, now you have 20/3 multiplied by 5/1.
4. Simplify this by multiplying 20 by 5 and 3 by 1 to get 100/3.
5. Now we have to create 100/3 into a mixed number. To do this, we know that 33 multiplied by 3 is 99, which is as close as we can get to 100 without going over. This means that we can make 100/3 into 33 and 1/3.
Hope this helps! :) If you could give me Brainliest that would be super helpful!
The mixed fraction is 33 1/3.
What is mixed fraction?A fraction represented with its quotient and remainder is a mixed fraction.
Given:
6 2/3÷1/5
On further solving the given expression
=20/3 ÷1/5
Now, division of fraction is not possible
so,
=20/3 * 5/1
=100/3
=33 /13
Hence, the mixed fraction is 33 1/3.
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Find two consecutive even integers such that four times the first equals three times the second
Answer:
1st: 2x
2nd: 2x+2
--------
Equation:
4(2x) = 3(2x+2)
-------
8x = 6x + 6
2x = 6
x = 3
-----
1st 2x = 6
2nd: 2x+2 = 8
Step-by-step explanation:
The two consecutive even integers such that four times the first equals three times the second is 6 and 8.
What is an integer ?An integer is a number which has no decimal part.
According to the given question we have to find two consecutive even integers such that four times the first equals three times the second.
Let, the first even integer to be x.
∴ The second integer will be (x+2). [ As every consecutive even
integers comes after 2 digits]
Now, Four times the first equals three times the second which is
4x = 3(x+2)
4x = 3x + 6.
4x - 3x = 6
x = 6.
∴ The even integer is 6 and the second integer is 8.
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Explain how to find the LCM of 8 and 10
Answer: Start by listing the first five multiples of each number. Then circle the common multiples. Finally, identify the least of these common multiples. The LCM of 8 and 10 is 40.
Step-by-step explanation:
Answer:
Start by listing the first five multiples of each number. Then circle the common multiples
Step-by-step explanation:
Complete the sentences to make true statements 6 is 100 times 0.06 is 10 times 60 is 1/100 of
Answer:
6 is 100 times 0.06
0.06 is 10 times 0.006
60 is 1/100 of 6,000
Step-by-step explanation:
Since 6/100 is equal to 0.06, we can say that 6 is the result of multiplying 0.06 by one hundred (0.06 x 100 = 6).
On the other hand, since 0.06 / 10 is equal to 0.006, it is correct to say that 0.006 x 10 is equal to 0.06 (0.006 x 10 = 0.06).
Finally, 60 is one hundredth of 6000, since multiplying 60 x 100 the result is 6,000 (6,000 / 100 = 60).
Find the values of x is 1/x + 1/x+2 undefined?
Answer: if x = O in the denominator of the first term or if x = -2 in the second term, the results are undefined.
Step-by-step explanation: If the denominator of a fraction is 0 there is no number that solves it because it is impossible to divide by zero.
Steve is recording the temperature of an object on Celsius and Fahrenheit scales. Relationship between the two scales is given by F = 1.8 ⋅ C. Steve will plot the Celsius readings along the y-axis and the Fahrenheit readings along the x-axis.
True or false?
Answer: FALSE
Step-by-step explanation:
3) Find the total cost of a $14.50 movie with a 30% markup.
Answer:
18.85
Step-by-step explanation:
Write 1,762 in scientific notation.
A. 1.762 x 10>4
B. 1.762 x 10>3
C. 17.62 x 10>3
D. 17.62 x 10>1
Hey there!☺
[tex]Answer:\boxed{1.762\times10^3}[/tex]
[tex]Explanation:[/tex]
1,762 in scientific notation would be written like this:
[tex]1,762\times10^3[/tex]
Hope this helps!
Answer:
B
Step-by-step explanation:
Can you please help
Solve: 4 + x/7 = 2
Answers are:
-14
10
12
42
(a) Reuben runs 12 miles in 96 minutes.
How many miles does he run per minute?
miles per minutes?
Answer:
0.125 miles per minute
Sita Rahim drove due north for 3 hours at 46 miles per hour. From the
same spot, Yasmina Young drove due south for 2 hours at 43 miles per
hour. How far apart were they after their trip?
Answer:
224 miles
Step-by-step explanation:
What you would do is take the 3 hours times the 46 mph to get 138 miles.
3*46=138
Next, multiply the 2 hours by the 43 mph to get 86 miles.
2*43=86
Lastly, you're going to add the two.
138+86=224 miles.
The sick days of employees every two years in a company are normally distributed with a population standard deviation of 7 days and an unknown population mean. If a random sample of 20 employees is taken and results in a sample mean of 21 days, find a 95% confidence interval for the population mean.
Step-by-step explanation:
Let [tex]$X_1, X_2, X_3,$[/tex] . . . ,Xn be the random sample of n employee's sick days. It is given that the random samples follows the Normal distribution along with standard deviation of 7 days. Let
[tex]X_i\sim N(\mu ,7)[/tex]
[tex]\bar{X} =\frac{1}{n}\Sigma X_i\sim N(\mu,\frac{7}{\sqrt n})[/tex]
or [tex]Z=\frac{\bar{X}-\mu}{7 /\sqrt n} \sim N(0,1)[/tex]
So,
[tex]P(-Z_{\alpha /2} \leq Z\leq Z_{\alpha /2} ) = 1- \alpha[/tex]
[tex]P(-Z_{\alpha /2} \leq \frac{\bar{X}- \mu}{7 / \sqrt n}\leq Z_{\alpha /2} ) = 1- \alpha[/tex]
[tex]P(\bar{X}-\frac{7}{\sqrt n} Z_{\alpha / 2} \leq \mu \leq \bar{X}+\frac{7}{\sqrt n} Z_{\alpha / 2} ) = 1- \alpha[/tex]
Therefore, the confidence interval of the population mean for α = 0.05 is
= [tex]P(\bar{X}-\frac{7}{\sqrt n} Z_{\alpha / 2} , \bar{X}+\frac{7}{\sqrt n} Z_{\alpha / 2} )[/tex]
= [tex]P(21-\frac{7}{\sqrt 20} Z_{0.05 / 2} , 21+\frac{7}{\sqrt 20} Z_{0.05 / 2} )[/tex]
= (17.93, 24.07)
I NEED HELP ASAP
A square and a rectangle are modeled below. The perimeter of both shapes is equivalent. Create
the equation and solve for x.
Answer:
let side of square= x
breadth of rectangle= side if square= x
length of rectangle= y
perimeter of both are equal, so
4x= 2(y+x)
4x= 2y+2x
2x=2y
x=y
helpooo pleaseeee and thank youu
K is the midpt. of AB.
Its in the middle of AB so its the midpt.
Which statement is true about this equation? y=-3x^2+4x-11 A. It represents a function only. B. It represents both a relation and a function. C. It represents a relation only. D. It represents neither a relation nor a function.
Answer:
For plato users, the answer would be letter C.
Step-by-step explanation:
A.
It represents neither a relation nor a function.
B.
It represents a relation only.
C.
It represents both a relation and a function.
D.
It represents a function only.
This equation represents both a relation and a function.
Took the test, hope this helps!
B. It represents both a relation and a function.
Is every relation also a function?Note that both functions and relations are defined as sets of lists. In fact, every function is a relation. However, not every relationship is a function. In a function, there cannot be two lists that disagree on only the last element.
Which graph of a relation is also a function?Given the graph of a relation, if you can draw a vertical line that crosses the graph in more than one place, then the relation is not a function. This is a function. Any vertical line will cross this graph at only one point.
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what is the domain?
what is the range?
what is g(0)?
what is g(x)3?
what is the max value?
is g(x) continuos or discrete?
what is the y intercept?
how many x intercept does g(x) have?
is the population of cats on another island whose cat population was originally 11,000 but is doubling every 14 months. (t is time in months.)
Answer:
P = 11,000(2)^t/11
Step-by-step explanation:
The formula is given as:
P = Po(2)^t/d
Where
Po = Initial population = 11,000
t = time in months
d = doubling time = 11 months
Hence,
P = 11,000(2)^t/11
Hence, the population of cats is given by the equation:
P = 11,000(2)^t/11