Answer:
40% discount
Step-by-step explanation:
40% of 20 = 8
20 - 8 = 12
What is the solution to the equation 1/2 x + 3 = 2/3 x + 1
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[tex] \frac{1}{2} x + 3 = \frac{2}{3} x + 1 \\ [/tex]
Subtract sides 3
[tex] \frac{1}{2} x + 3 - 3 = \frac{2}{3} x + 1 - 3 \\ [/tex]
[tex] \frac{1}{2} x = \frac{2}{3} x - 2 \\ [/tex]
Multiply sides by 6
[tex]6 \times \frac{1}{2} x = 6 \times \frac{2}{3} x + 6 \times ( - 2) \\ [/tex]
[tex]3x = 4x - 12[/tex]
Subtract sides 4x
[tex] - 4x + 3x = - 4x + 4x - 12[/tex]
[tex] - x = - 12[/tex]
Negatives simplifies
[tex]x = 12[/tex]
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CHECK :
[tex] \frac{1}{2} (12) + 3 = \frac{2}{3} (12) + 1 \\ [/tex]
[tex]6 + 3 = 8 + 1[/tex]
[tex]9 = 9[/tex]
Thus the solution is correct .
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6. Solve the problem. A carousel has a radius of 18 feet and takes 31
seconds to make one complete revolution. What is the linear speed of
the carousel at its outside edge? Express the answer in feet per second.
If necessary, round the answer to two decimal places.
Answer:
v = 3.64 ft/s
Step-by-step explanation:
Given that,
Radius of a carousel, r = 18 feet
It takes 31 seconds to complete revolution.
We need to find the linear speed of the carousel at its outside edge. Distance covered is equal to the circumference of the circle.
d = 2πr
d = 2π × 18 = 113.09 feet
Let v is the linear speed. It can be given by :
[tex]v=\dfrac{D}{t}\\\\v=\dfrac{113.09}{31}\\\\v=3.64\ ft/s[/tex]
So, the linear speed of the carousel is 3.64 ft/s.
Which statement is TRUE for the given triangles?
A)
The triangles are similar because the ratios of the corresponding sides are
the same.
B)
The triangles are not similar because they are not the same size.
C)The triangles are not similar because they are not equilateral
D)
Similarity cannot be determined because angle measurements are not
given
Answer:
we need the pic to answer it
Step-by-step explanation:
Answer:
I have no idea
Step-by-step explanation:
Anna’s cell phone plan charges her $30 per month plus a $150 one-time activation fee. Evelyn’s cell phone plan charges her $20 per month, plus a $450 one-time activation fee. After how many months are the costs for the girls’ cell phone plans the same?
Given:
Anna’s cell phone plan charges her $30 per month plus a $150 one-time activation fee.
Evelyn’s cell phone plan charges her $20 per month, plus a $450 one-time activation fee.
To find:
The number of months after which the costs for the girls’ cell phone plans the same.
Solution:
Let x be the number of months.
Total cost = Fixed cost + Variable cost
According to the question, cost equation for Anna’s cell phone is
[tex]y=150+30x[/tex] ...(i)
Cost equation for Evelyn's cell phone is
[tex]y=450+20x[/tex] ...(ii)
Equate (i) and (ii) to find the time after which the costs for the girls’ cell phone plans the same.
[tex]150+30x=450+20x[/tex]
[tex]30x-20x=450-150[/tex]
[tex]10x=300[/tex]
Divide both sides by 10.
[tex]x=\dfrac{300}{10}[/tex]
[tex]x=30[/tex]
Therefore, the costs for the girls’ cell phone plans the same after 10 months.
What is the distance between point A(-2,-1) and point B (3,2)?
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[tex]d = \sqrt{ ({2 - ( - 1)})^{2} + ({3 - ( - 2)})^{2} } \\ [/tex]
[tex]d = \sqrt{ {3}^{2} + {5}^{2} } [/tex]
[tex]d = \sqrt{9 + 25} [/tex]
[tex]d = \sqrt{34} [/tex]
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Answer:
√34
Step-by-step explanation:
A(-2 , -1) B(3 , 2)
[tex]Distance = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\ =\sqrt{(3-[-2])^{2}+(2-[-1])^{2}} \\\\=\sqrt{(3+2)^{2}+(2+1)^{2}}\\\\=\sqrt{5^{2}+3^{2}}\\\\=\sqrt{25+9}\\\\=\sqrt{34}[/tex]
a line has a slope of 2 and passes through the point (5,2)
Answer:
Step-by-step explanation:
Given
A line has a slope = 2
point = (5,2)
Solution
y-y1=m (x-x1)
Where y1=2,X1=5,m=2
y-2=2(x-5)
Y-2=2x-10
2x-y=-8
Equation of the line is 2x-y=-8
What number is the opposite of 3 over 11
-3/11?
As the opposite of a positive is a negative
Answer:
-3/11
Step-by-step explanation:
math picture help me
Answer:
D
Step-by-step explanation:
The duration of a professor's class has continuous uniform distribution between 49.2 minutes and 55.5 minutes. If one class is randomly selected and the probability that the duration of the class is longer than a certain number of minutes is 0.468, then find the duration of the randomly selected class, i.e., if P ( x > c )
Answer:
The duration of the randomly selected class is 52.6 minutes.
Step-by-step explanation:
The random variable X is defined as the duration of a professor's class.
It is provided that, [tex]X\sim Unif(49.2, 55.5)[/tex].
The pdf of X is:
[tex]f_{X}(x)=\frac{1}{55.5-49.2};\ 49.2<X<55.5[/tex]
It is provided that the probability that the duration of the class is longer than c number of minutes is 0.468.
That is, P (X > c) = 0.468.
Compute the value of c as follows:
[tex]P(X>c)=0.468\\\\\int\limits^{55.5}_{c}{\frac{1}{55.5-49.2}}=0.468\\\\\frac{1}{6.3}\times [x]^{55.5}_{c}=0.468\\\\55.5-c=2.9484\\\\x=52.5516\\\\x\approx 52.6[/tex]
Thus, the duration of the randomly selected class is 52.6 minutes.
Find the value of expression a^5−a^2+a^3 for a=−2.
Answer:
-44
Step-by-step explanation:
first take -2 to the fifth power (-32) , after that take -2 to the second power (4) and then take -2 to the third power (-8). Subtract -32 and 4, then add -8 and you get your answer.
A recipe calls for 3 cups of sugar for
every 1 cup of butter. How many cups
of butter does the recipe need for 4.5
cups of sugar?
Answer:8.5 cups
ithink
im not sure
Step-by-step explanation:
PLZZ HELP MEEEE
The length of the house is 50 m. In the plan, it is 12.5 cm. What is the scale of the house plan?
Answer:
Step-by-step explanation:
lol i think 800 m imao if im not corecct
Answer: 1:400
Step-by-step explanation:
12 1/2 gal= qt
can you help me plsssssss
Answer:
50 qrts
Step-by-step explanation:
12.5 gal = 4x qrts
12.5 * 4 = 50
in 1/2 a gal. there is 2qt.
so that makes a gal = 4qt.
12 x 4 =48qt plus 2qt equals 50 qt
A number cube has a volume of 27 mm3. What is the length of one edge of the cube
i got 15 points out of 20 what is my grade
Answer:
75% (Letter grade = C)
Step-by-step explanation:
15 ÷ 20 = 0.75Multiply by 100: 0.75 × 100 = 75So, your grade was a 75% (letter grade = C)Answer:
75%
Step-by-step explanation:
We need to find out what your grade is.
Since we know that you got 15 out of 20 points we need to find the Greatest Common Factor of these two numbers.
1. [tex]5\left \{ {{15 / 5} \atop {20 / 5 }} \right}} = \frac{3}{4}[/tex]
Now we need to turn this fraction into a decimal.
In order to do that we need to divide our 3 by our 4.
2. [tex]\frac{3}{4} = .75[/tex]
Finally, we need to turn this decimal into a percentage.
In order to do this we must multiply our decimal by 100.
3. .75 * 100 = 75%
Feel free to give brainliest.
Have a great day!
Waiting times (in minutes) of customers at a bank where all customers enter a single waiting line and a bank where customers wait in individual lines at three different teller windows are listed below.
Find the coefficient of variation for each of the two sets of data, then compare the variation.
Bank A (single line): 6.6, 6.7, 6.7, 6.8, 7.0, 7.3, 7.5, 7.7, 7.8, 7.8Bank B (individual lines): 4.0, 5.5, 5.8, 6.2, 6.6, 7.6, 7.7, 8.5, 9.4, 9.7(Round to one decimal place as needed.)
Answer:
CV of Bank A = 6.4
CV of Bank B = 7.1
CV of Bank B is more than CV of Bank A
Step-by-step explanation:
Bank A
6.6, 6.7, 6.7, 6.8, 7.0, 7.3, 7.5, 7.7, 7.8, 7.8
[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean = \frac{6.6+6.7+6.7+6.8+7.0+7.3+7.5+7.7+7.8+ 7.8}{10}\\Mean =7.19[/tex]
Standard deviation =[tex]\sqrt{ \frac{\sum(x-\bar{x})^2}{n}}=0.461[/tex]
[tex]CV = \frac{\sigma}{\bar{x}} \times 100\\CV = \frac{0.461}{7.19} \times 100=6.4[/tex]
Bank B
4.0, 5.5, 5.8, 6.2, 6.6, 7.6, 7.7, 8.5, 9.4, 9.7
[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean = \frac{4.0+5.5+5.8+6.2+6.6+ 7.6+ 7.7+8.5+9.4+9.7}{10}\\Mean =7.1[/tex]
Standard deviation =[tex]\sqrt{ \frac{\sum(x-\bar{x})^2}{n}}=1.718[/tex]
[tex]CV = \frac{\sigma}{\bar{x}} \times 100\\CV = \frac{1.718}{7.1} \times 100=24.2[/tex]
CV of Bank A = 6.4
CV of Bank B = 7.1
CV of Bank B is more than CV of Bank A
If 300 cones were sold, how many were chocolate?
Answer:
90
Step-by-step explanation:
how did u get this and what is it I need help so bad
Answer:
y=6x+5
Step-by-step explanation:
I am not sure if this is the answer but it's worth a try...
There are 330 jellybeans in 6 bags. How many jellybeans in 2 bages?
Answer:
110
Step-by-step explanation:
Answer:
its 110
Step-by-step explanation:
Jenn's phone has a fully charged battery. With normal usage, he phone will last 16 hours. How long will her battery last if it only charged 30%?
Can you show the work please, thank you!
The correct answer is 4.8 hours
Explanation:
This mathematical problem can be solved by using the rule of three, which involves finding an unknown value by using three related values. The process is shown below:
1. It is known a fully charged battery (100% battery) lasts 16 hours. This can be represented as 100 = 16. But it is not know how much a 30% battery last; this can be represented as 30 = x.
2. Write all the values
100 = 16
30 = x
3. Cross multiply to create an equation and solve the equation
100 x = 48
x = 480 / 100
x = 4.8
PLEASE HELP QUICK
What is the simplified expression for the expression below?
–1(2x + 3) – 2(x – 1)
–4x + 1
–4x – 2
–4x + 2
–4x – 1
Answer:
-4x - 1
Step-by-step explanation:
i used a calculator and got that
4.28 divide by 7 equals ?
Answer:
0.611428571
Step-by-step explanation:
[tex]4.28 \div 7 \\ \\ = \frac{4.28}{7} \\ \\ = 0.611428571 \\ [/tex]
answerrrr plssssssssss
Answer:
no solution
Step-by-step explanation:
If Big Bun won 5 out of 25 matches, what percent did he win?
Answer:
5/25*100=
1/5*100=100+5=20
the length of the rectangular field is 7 times of its breadth its area is 1792 square metres find the cost of fencing it at the rate of rupees 1.5 per metre
Answer:
Step-by-step explanation:
first you would need to find the perimeter in order to find the cost of fencing.
x(7x)=1792
7x^2=1792
x^2=256
x=16
so you have x which is the width. now time to find the length
16 times 7 is 112
112 is your width
112+112+16+16 is 256, which is your perimeter.
256 times 1.5 is your cost, or 384 rupees
mZTRI = 3x - 5, mZIRB = x + 27,
and mZTRB = 86. Find the mZTRI.
Answer:
m∠TRI = 43
Step-by-step explanation:
m∠TRI + m∠IRB = m∠TRB
3x - 5 + x + 27 = 86
3x + x - 5 + 27 = 86 {Combine like terms}
4x + 22 = 86 {Subtract 22 from both sides}
4x = 86 - 22
4x = 64 {Divide both sides by 4}
x = 64/4
x = 16
m∠TRI = 3x - 5
= 3*16 - 5
= 48 - 5
= 43
Which graph is a possible graph of the points (5, -3) and
(-5, -3)?
Answer:
y=-3
I hope this is good enough:
1. Write 1/5 as a decimal
2. Write 1/5 as a percent
3. Write 10% as a fraction
4. Reduce 35/100 to lowest terms
5. Write 35/100 as a percent
6. Write 8/20 as a percent
7. Write 8/20 as a decimal
Answer:
1.5
1.5%
10/0
7/20
35.1%
8.20%
8.20
Step-by-step explanation:
there u go
There are 39.37 inches in 1 meter. How many inches are in 8 · 104 meters?
Step-by-step explanation:
[tex]1meter = 39.37inches \\ 8.104meters = (39.37 \times 8.104)inches \\ = 319.05448inches[/tex]
There are [tex]3.1496\cdot 10^6[/tex] inches in [tex]8\cdot 10^4[/tex] meter.
Important information:
There are 39.37 inches in 1 meter.Convert meter to inches:Using the given information,
1 meter = 39.37 inches
Using this conversion, we get
[tex]8\cdot 10^4[/tex] meter = [tex]39.37\times (8\cdot 10^4)[/tex] inches
[tex]8\cdot 10^4[/tex] meter = [tex]39.37\times 80000[/tex] inches
[tex]8\cdot 10^4[/tex] meter = [tex]3149600[/tex] inches
[tex]8\cdot 10^4[/tex] meter = [tex]3.1496\cdot 10^6[/tex] inches
Therefore, there are [tex]3.1496\cdot 10^6[/tex] inches in [tex]8\cdot 10^4[/tex] meter.
Find out more about 'Convert meter to inches' here:
https://brainly.com/question/2284603
Angela’s car leaked 6 ounces of oil in 9 days what is the unit rate of the oil leak ??
angelas car leaked=6ounces
angeales car leaked in 9days = 6×9=54