Answer:
value/total value • 100 = percentage
Step-by-step explanation:
if 5 out 100 kids have red backpacks then 5% of kids have red backpacks
5/100 • 100 = percentage
0.05 • 100 = percentage
5% = percentage
if 13 cars out of 41 have flat tires, then 32% of the cars have flat tires
13/41 • 100 = percentage
0.31707317073... • 100 = 31.707317073... %
depending on your precision, you may include as many decimal places as you like, unless the question specifies it. For our example, we will round to 2 decimal places.
31.707317073... % = 31.71%
if you're looking to find percentages for probability, you will use the same equation.
the odds of flipping a coin and it landing on heads are 50%
possibilities:
Heads, Tails
there is one outcome where our result occurs out of the two possible outcomes
1/2 • 100 = percentage
0.5 • 100 = percentage
50% = percentage
Hope this helps and wasn't confusing
4a to the power of 2 + 18 = 118?
SOLUTION:
=) (4a)² + 18 = 118
=) 16a + 18 = 118
=) 16a = 118 - 18
=) a = 100/16
=) a = 6.25
Answer:
2.5
Step-by-step explanation:
(4a)^2 + 18 = 118
16a^2 = 100
a^2 = 100/16
a^2 = 25/4
a = 5/2 = 2.5
Yesterday the temperature at noon was 28.8°F. By midnight, it had dropped by 30.9°F. What was the temperature at midnight?
Answer:
-2.1°F
Step-by-step explanation:
We will subtract 28.8°F from 30.9°F and then reverse our answer.
30.9°F - 28.8°F = 2.1°F
= -2.1°F.
Answer: -2.1°F
The correct answer is -2.1°F. You do this by simply subtracting 28.8 by 30.9. When doing this, you get -2.1. So the temperature at midnight was -2.1°F.
Step-by-step explanation:
Hope this helps =)
The problem is 52÷(−4/5)
Answer: either -65 or -2.6
Hope this helps
It depends on the way you do the math, but Its one of those.
Wayne Gretzky holds the NHL record for the most points scored in a career. He scored 2857 points in 1487 games.
a) Calculate his average points per game.
b) At this rate, how many more points would he have scored if he had played 79 more games.
Answer:
1999 The most points scored in an NHL career is 2,857, achieved by Wayne Gretzky (Canada) while playing for the Edmonton Oilers (Canada), Los Angeles Kings, St Louis Blues and New York Rangers (all USA) from 1979 to 1999. The points total comprises 894 goals and 1,963 assists in 1,487 games.
Step-by-step explanation:
a) Wayne Gretzky's average points per game is approximately 1.9202.
b) Wayne Gretzky would have scored approximately 151.5438 more points if he had played 79 more games.
a) To calculate Wayne Gretzky's average points per game, we divide the total points scored (2857) by the total number of games played (1487):
Average points per game = Total points scored / Total games played
Average points per game = 2857 / 1487 ≈ 1.9202
Wayne Gretzky's average points per game is approximately 1.9202.
b) To find out how many more points Wayne Gretzky would have scored if he had played 79 more games, we can use the average points per game calculated in part (a).
We know that his average points per game is approximately 1.9202. So, to find the additional points in 79 games, we can multiply the average points per game by the number of additional games:
Additional points = Average points per game * Additional games
Additional points = 1.9202 * 79 ≈ 151.5438
Wayne Gretzky would have scored approximately 151.5438 more points if he had played 79 more games.
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The Gomez family ordered $39.50 worth of
pizza and subs. They gave the delivery person
a 20% tip. What was the total cost of the food
and tip? Roun to the nearest cent?
Step-by-step explanation:
To find the cost of the tip, we need to find 120% of 39.50.
120% = 100% (order) + 20% (tip)
Let's use fractions. 39.50 can be put over 1, and 120 can be put over 100.
Equation:
[tex]\frac{39.50}{1} \times \frac{120}{100} =?[/tex]
Multiply:
[tex]\frac{39.50}{1} \times \frac{120}{100} =\frac{4740}{100}[/tex]
Divide 4740 and 100 by 100:
[tex]\frac{4740 \div 100}{100 \div 100} = \frac{47.4}{1}[/tex]
The total cost of the food is $47.40.
show the linear graph obtained by joining the following points is a staright line. (6,-3),(6,1)and(6,6)
Points be
A(6,-3)B(6,1)C(6,6)Slope of AB:-
[tex]\\ \tt\hookrightarrow m=\dfrac{1+3}{6-6}=\dfrac{4}{0}=\infty[/tex]
Slope of BC
[tex]\\ \tt\hookrightarrow m=\dfrac{6-1}{0}=\infty[/tex]
As
Slope of AB=Slope of BCA,B,C are colinear.
Need answer as soon as possible
Answer:
adding all like terms the answer will be:
[tex]\frac{3}{8} x + \frac{1}{2} y + \frac{3}{8}[/tex]
Step-by-step explanation:
Answer:
sec answer
[tex] \frac{3}{8} x + \frac{1}{2} y + \frac{3}{8} [/tex]
Find the distance, c, between (–3, 4) and (2, –3) on the coordinate plane. Round to the nearest tenth if necessary.
Using the distance formula, the distance between (-3, 4) and (2, -3) is: 8.6 units.
What is the distance formula?Distance formula for calculating the distance between two points on a coordinate plane is given as: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].
Let,
(-3, 4) = (x1, y1)
(2, -3) = (x2, y2)
Plug in the values
[tex]c = \sqrt{(2 - (-3))^2 + (-3 - 4)^2} \\\\c = \sqrt{74} \\\\[/tex]
c = 8.6 units.
Therefore, using the distance formula, the distance between (-3, 4) and (2, -3) is: 8.6 units.
Learn more about distance formula on:
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What is the solution to this inequality?
X-6<-4
Step-by-step explanation:
[tex]x - 6 < - 4[/tex]
[tex]x - 6 + 6 < - 4 + 6[/tex]
[tex]x < 2[/tex]
The design is rotated about the line x=1 to produce the shape of the urn. Finish the potter's design by drawing a picture
of what the urn looks like. In your picture, include a properly labeled coordinate plane and the line x= 1.
Upload your drawing below.
Sign out
When the urn is reflected over x = 1, the new urn becomes a mirror of the old diagram.
How to draw the new poster designFrom the question, we understand that the new poster design is to be drawn by reflecting the urn (i.e. the red figure) across the line x = 1
The line x = 1 is a vertical line that passes through the x-axis at x = 1.
To reflect the urn across x = 1, we simply flip the urn over the line.
See attachment for the diagram
Read more about reflection at:
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When the urn is reflected over x = 1, the new urn becomes a mirror of the old diagram.
The new poster design is to be drawn by reflecting the urn (i.e. the red figure) across the line x = 1
The line x = 1 is a vertical line that passes through the x-axis at x = 1.
To reflect the urn across x = 1, we simply flip the urn over the line.
_______|________
\ | /
\ | /
/ | \
/______|_______\
|
(copy and paste for the people that have to "draw" this out on odyssey ware <3) p.p.s just copy the thing. it won't paste correctly.
Find the slope of the line that passes through (-41, 87) and (-42, 41).
Answer:
slope is 46
Step-by-step explanation:
picture
Advertising A bank manager wants to encourage new customers to open accounts with principals of at least $3,000. He decides to make a poster advertising a simple interest rate of 3%. What must the principal be if the bank manager also wants to advertise that one can earn $10 the first month? Can the poster correctly say, "Open an account of $3,000 and earn at least $10 interest in 1 month!"?
Answer: I GOT YOU
Step-by-step explanation: The poster says, "Open an account of $3,500 and earn at least $10 interest in 1 month!" is correct
He decides to make a poster advertising a simple interest rate of 4.8%.
We have to find what must the principal be if the bank manager also wants to advertise that one can earn $10 the first month
So, the statement is correct.
Hence, the amount to be invested is $2500 and the poster says correctly.
Answer: 4,000
Step-by-step explanation: Dont feel like explaining, just trust me.
what is x
x/2 = (8 - 2x)/4
Answer:
x = 2
Step-by-step explanation:
x*(4) = (8-2x)*(2)
4x = -4x+16
+4x +4x
8x = 16
x = 2
Answer:
x = 2
Step-by-step explanation:
Multiply to remove the fraction, then set equal to 0 and solve.
What is n in n:44 = 7:11?
Answer:
n = 28
Step-by-step explanation:
hope this helps :)
[tex]\frac{n}{44} =\frac{7}{11} \\\\11n=308\\n=\frac{308}{11} \\n=28[/tex]
What is the midpoint of the line segment shown?
Please answer as soon as possible.
Answer: (0,1)
Step-by-step explanation:
Coordinates of the points are (-4,-3) and (4,5) so the midpoint is
((-4+4)/2,(-3+5)/2) = (0,1)
Find the equation of a line that passes through the points (-1,3) and (3,-5).
Leave your answer in the form y = mx + c
Answer: y = mx+cG = A100G = A100G = A100
Step-by-step explanation: Solve for c
c=y−mx
{
m=−
x
c−y
,
m∈R,
x
=0
y=c and x=0
Answer:
y= -2x+1
Step-by-step explanation:
The slope of the line is -4/2, which gets simplified to -2. Then, the line passes through y-intercept (0,1), which becomes +1 as the y-intercept in y=mx+b form. Therefore, the equation is y= -2x+1. I'm 100% sure this is right. Hope that helps :)
4+5(p-1) how to expand brackets and then simplify
Step-by-step explanation:
these are multiplications.
you could also write
4 + 5×(p - 1)
now, we need to calculate the contents of brackets (if we can), then do the multiplications and divisions, before we can do the then remaining additions and subtractions.
if we cannot do a calculation directly (because there is a variable involved), we need to do and document the single steps for the individual parts involved.
so,
4 + 5×(p - 1) = 4 + 5×p + 5×-1 = 4 + 5p - 5 = 5p - 1
remember, a multiplication of 2 expressions is done by multiplying every term of one expression with every term of the other expression and adding the results up (by considering their individual signs, of course).
5. A girl walks north 750 m in 10 minutes. What is her velocity?
Explanation:
Divide the distance (750) over the time (10) to get the speed
750/10 = 75
The velocity is made up of the speed and the direction. Therefore, her velocity is 75 meters per minute north. For each minute, she moves another 75 meters north.
By selling a television set for $421 Suzie incurred a loss of 6%.What is the cost price?
The cost price of this television set is equal to $447.87.
Let the cost price be C.Given the following data:
Selling price = $421.Percentage loss = 6%.To calculate the cost price:
How to calculate cost price.In this exercise, you're required to determine the cost price of a television set that was sold for $421.
Mathematically, cost price is given by this formula:
[tex]Cost\;price = \frac{Selling\;price \times 100}{100-Percentage\;loss}[/tex]
Substituting the given parameters into the formula, we have;
[tex]Cost\;price = \frac{421 \times 100}{100-6}\\\\Cost\;price = \frac{42100}{94}[/tex]
Cost price = $447.87.
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Find the Volume. HELP PLEASE!!!!
Answer:
Volume: 198in³
Step-by-step explanation:
L x W x H
length x width x height
Length = 8in
Width = 4 1/2in or 4.5in
Height = 5 1/2in or 5.5in
8 x 4.5 x 5.5 = 198in³
Answer:
198 inches cubed
Step-by-step explanation:
The formula for volume for a rectangular prism is V=whl or volume equals width x height x length. I'm personally not a huge fan of fractions, so I convert 4 1/2 to 4.5 and 5 1/2 to 5.5. If you multiply 4.5 (the width), 8 (the length), and 5.5 (the height) together, you get 198 inches cubed.
Have an amazing day!
[:
The Drama Club can spend no more than $120 for costumes. They already spent $79. How much more can they spend for costumes? HELP PLEASE!
An$41 dollars left to spend
Step-by-step explanation:
Suppose f(x) = x2 - 5. Find the graph of
f(4x).
1
2.
Click on the correct answer.
3
4
A
Click on each graph to enlarge it.
graph 1
graph 2
graph 3
graph 4
Answer:
I think its 4 because the y intercept should be at -5 and it looks like oits going t a slope of 2. SO i think 4 is correct
Step-by-step explanation:
Can someone explain this to me please?
Answer:
123
Step-by-step explanation:
Squaring the given equation gives
[tex]t^2+(2\cdot t \cdot \frac{1}{t} )+ \frac{1}{t^2}=9.[/tex]
The [tex]t[/tex] and [tex]\frac{1}{t}[/tex] terms cancel out nicely, which is one of the reasons for squaring the equation.
Simplifying gives
[tex]t^2+2+\frac{1}{t^2}=9,[/tex]
[tex]t^2+\frac{1}{t^2}=7.[/tex]
The question asks for [tex]t^5+\frac{1}{t^5},[/tex] so we can square the equation again and simplify to get higher powers into the expression:
[tex](t^2+\frac{1}{t^2})^2=49,[/tex]
[tex]t^4+(2 \cdot t^2 \cdot \frac{1}{t^2}) + \frac{1}{t^4}=49,[/tex]
[tex]t^4+2+ \frac{1}{t^4}=49,[/tex]
[tex]t^4+\frac{1}{t^4}=47.[/tex]
Multiplying this expression by [tex]t+\frac{1}{t}[/tex] to try and get a fifth power gives
[tex](t^4+\frac{1}{t^4})(t+\frac{1}{t})=t^5+t^3+\frac{1}{t^3}+\frac{1}{t^5}.[/tex]
The only thing left we need is [tex]t^3+\frac{1}{t^3}[/tex] to subtract from this; we know everything else. Since [tex]t^3+\frac{1}{t^3}[/tex] can be written as [tex](t+\frac{1}{t})(t^2-1+\frac{1}{t^2}),[/tex] we can simply plug in the values we know for [tex]t+\frac{1}{t}[/tex] and [tex]t^2+\frac{1}{t^2}:[/tex]
[tex]t^3+\frac{1}{t^3}=(3)(7-1)=18.[/tex]
All that is left is to plug it in our equation here:
[tex](t^4+\frac{1}{t^4})(t+\frac{1}{t})=t^5+t^3+\frac{1}{t^3}+\frac{1}{t^5},[/tex]
[tex](47)(3)=t^5+\frac{1}{t^5}+18,[/tex]
Multiplying and rearranging gives:
[tex]t^5+\frac{1}{t^5}=123.[/tex]
Need help with #8 its solving logarithm
Answer:
The answer to the logarithm is 2 so inputting this into the equation it would now be 2 ( 4 + 6) - 2(4) = 4 now solving it would be 20 - 8 which is 12/3 which is 4 so the final answer will be 1/4.
Step-by-step explanation:
Solve for x. The problem is in the picture!
According to the diagram:-
Angle D = (6x+ 8)°Angle E = (5X+8)°Exterior angle C = 82° Answer:- Exterior angle property:-Exterior angle is equal to the sum of two opposite interior angle
ATQ :-[tex] \angle D + \angle \: E = ext \angle C \\ 6x + 8 + 5x + 8 = 82 \\ 11x + 16 = 82 \\ 11x = 82 - 16 \\ 11x = 66 \\ x = \frac{66}{11} \\ x = \frac{ \cancel{66}^{ \: \: 6} }{ \cancel{11} } \\ x = 6[/tex]
The value of x from the figure is 6
Angles of a triangleThe sum of the interior angles of a triangle is equal to its exterior
Acording to the figure shown;
6x + 8 + 5x + 8 = 82
11x = 82 - 16
11x = 66
Divide both sides by 11
111x/11 = 66/11
x = 6
Hence the value of x from the figure is 6
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A school choir needs to make T-shirts for its 75 members and has set aside some money in their budget to pay for them. The members of the choir decided to order from a printing company that charged $3 per shirt, plus a $50 flat fee for shipping. If the school spends $113 total, how many T-shirts did they buy?
Answer:
21
Step-by-step explanation:
Let x = number of t-shirts
Let y = total cost
If the company charges $3 per shirt, plus a $50 flat fee for shipping:
⇒ y = 50 + 3x
If the school spends $113 total, subtitute y = 113 and solve for x:
⇒ 113 = 50 + 3x
⇒ 113 - 50 = 3x
⇒ 63 = 3x
⇒ x = 63 ÷ 3
⇒ x = 21
Therefore, the choir bought 21 t-shirts
Solution:
Note that:
Equation created: 50 + 3(Shirts) = $113Solve the equation to find out how many shirts did the school choir bought.
=> 50 + 3x = $113=> 3x = 113 - 50=> 3x = 63=> x = 21The school choir bought 21 shirts.
What is the answer of 5/8 + 2 1/8
Step-by-step explanation:
11/4 or 2¾
easy peasy....
17. Hayden earns $ 9.50 per as a lifeguard . He earns a bonus of $50.00 For taking a training
course. How many hours must he work to earn at least $300.00
Variable:
Inequality
Answer:
26.32
Step-by-step explanation:
50 + 9.5x = 300
9.5x = 250
x = 26.32
Have a good day!
The amount of region enclosed by a plane closed figure is calles
Answer:
The amount of region enclosed by a plane-closed figure is called its Area. Hence, correct answer is Area.
FROM
SURAJ SAINI
I need answers for those asap
Answer: x = -5 and y = -5
Step-by-step explanation:
They drew the linear graph for the simultaneous equations on the graph already
The answer the the equations is the intersection of the lines which is (-5,-5) or x = -5 and y = -5