Answer:
We need to find 74% of 84 (that's the amount that was sold// If you would have been asked for the amount left, it would be (100%-74%), but here it's easier since it's already given to us)
Now, let's write the percentage as a fraction
74/100 of 84
**Trick, for percentages, anytime you see a "of" replace it with a multiplication symbol
74/100 x 84
Now, it's just a simple multiplication
(74x84)/100
*You can use a calculator and find your answer
It would give you 62.16 and you will need to round it to a whole number, so 62 gallons
*If you can't use a calculator, simplify the fraction as much as you can and try to approximate
Step-by-step explanation:
~62
The sum of the solution x^2-6x+5=0
Answer:
X=5
X=1
Step-by-step explanation:
2−6+5=0x
a = 1
b = -6
c = 5
=−(−6)±(−6)2−4⋅1⋅5√2⋅1
Write the equation for the line of best fit shown in the graph below. Show all your work.
Step-by-step explanation:
I guess we only need to read the details of the already shown line (and don't need to calculate it from the scratch).
usually I am looking for points with integer coordinates to elaborate the equation.
I see here
(0, 2)
(3, 4)
(6, 6)
(9, 8)
the line equation is
y = ax + b
a being the slope, which is "y coordinate change / x coordinate change" when going from one point to another.
and b being the y-intercept (the y value when x = 0).
we know b already from the first point (0, 2) : b = 2.
so, for the slope we use e.g. the first 2 points
(0, 2) and (3, 4)
x changes by +3 (from 0 to 3).
y changes by +2 (from 2 to 4).
so, the slope is +2/+3 = 2/3
and the line equation is
y = 2/3 x + 2
or
y = 2x/3 + 2
approximately what portion of the box is shaded blue? 2/10 2/5 2/3
A particular extension cord can support up to 8 amps. Martino has an iron whose label states 720 watts, and he wonders if the iron can be plugged into the extension cord. If watts are converted to amps by dividing by 144, how many amps does the iron use?
Answer:
Step-by-step explanation:
Remark
To convert watts to amps, divide the watts by the amps
Givens
720 watts
8 amps (maximum safety of extension chord)
144 conversion factor
Solution
Amps = 720 watts / 144
Amps = 5
Answer
The iron uses 5 amps of current.
The extension chord is safe to use since 5 is less than 8
Answer:
720÷144=5 AMPS
Step-by-step explanation:
5ANSWER
Use the ordered pair (2, 4) to find which equation describes the graph below.
Answer:
the answer is b , sub 2for x in each equ then whatever answer you get , use it to check is that what y is on grph
Use the value of the linear correlation coefficient r to find the coefficient of determination and the percentage of the total variation that can be explained by the linear relationship between the two variables r = 0.123 What is the value of the coefficient of determination ? r ^ 2 = (Round to four decimal places as needed.)
The coefficient of determination is the square of the correlation coefficient, and the value is 0.0151
How to determine the coefficient of determination?The given parameter is:
Correlation coefficient, r = 0.123
Rewrite as:
r = 0.123
Take the square of both sides
r² = 0.123²
Evaluate the square
r² = 0.015129
Approximate
r² = 0.0151
The coefficient of determination is represented by r²
Hence, the coefficient of determination is 0.0151
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Clive has $900 in his bank account at the beginning of the school semester, Clive is hoping
to have at least $300 in his bank account at the end of the semester (18 weeks). If Clive only withdraws $35 a week for food, gas, and entertainment, will Clive be able to reach his goal at the end of the semester? Write an inequality that models the situation, and justify
your response both in a written format and algebraically.
Try and challenge yourself with this question!
Answer:
216°..........................
Four friends went to a drive-in diner for milkshakes. They each paid $4.41 for their milkshake, including a 5% sales tax. What was the total cost of the milkshakes before tax was added?
Answer:
17.64 easy math
Step-by-step explanation:
Mr Thando wants to build a garage.he went to local store obstain a quotation for the building material.below is the quotation from phindanani dealer
The computation of the quotation when Thando wants to build a garage will be $1700.
How to compute the quotation?Your information is incomplete. An overview will be given based on the information. It should be noted that a quotation is given when one wants to construct a building.
Let's assume that the prices include:
Sand = $1000
Machinery work = $200
Building materials = $400
In this case, you simply have to add the values together.
= $1000 + $200 + $400
= $1700
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Solve for x.
50
39
6
7
Answer:
x = 6
Step-by-step explanation:
Interior angles of a triangle sum to 180°
⇒ (8x + 2)° + 70° + 60° = 180°
⇒ 8x + 132° = 180°
Subtract 132° from both sides:
⇒ 8x + 132° - 132° = 180° - 132°
⇒ 8x = 48°
Divide both sides by 8:
⇒ 8x ÷ 8 = 48° ÷ 8
⇒ x = 6
Therefore, the value of x is 6.
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Apply angle sum property
8x+2+70+60=1808x+132=1808x=180-1328x=48x=6I am so confused please help and thank you.
Answer:
C. AC~= DF, FB~=CB
Step-by-step explanation:
In order use HL theorem you have to have two right triangles, which it's marked that you do. HL stands for Hypotenuse-Leg. So in order to use Hypotenuse-Leg you have to know that the hypotenuses are congruent on the two triangles and also a leg is the same on the two triangles. AC and DF are the two hypotenuse. And FB and CB are legs. You need those two congruent segment pairs in order to use HL theorem.
List all the possible rational roots for the polynomial x^3+x^2 - 3x+12
Answer: Heyaa! ~
Your Answers are... ±1,±2,±3,±4,±6,±12
Step-by-step explanation:
Find every combination of ± p/q, where p is a factor of the constant and
q is a factor of the leading coefficient.
Hopefully this helps you! ^^
- Matthew
In science class you are filling a cylindrical beaker with a fluid. The beaker has a circular base with a diameter of 4 inches and a height of 8 inches. You are filling the fluid into a tank that is shaped like a rectangular prism and has a volume of 100 cubic inches. How many times will you have to fill up the cylindrical beaker before the tank is full? Round to the nearest tenth.
0.9947≅1 times you have to fill up the cylindrical beaker before the tank is full.
What is volume?Volume is defined as the space occupied by any body in the three-Dimenions. All three parameters are required for the volume like length,width and hieght of cube or cubied.
here we have a beaker of cylindrical shape the volume of the shape will be calculated as:
[tex]\rm V=\dfrac{\pi}{4}\times d^2\times l=\dfrac{\pi}{4}\times (4)^2\times 8=100.53\ cubc\ inch[/tex]
We have a volume of rectangular prism = 100 cubic inches
So number of times the beaker fill the fluid will be calculated as:
[tex]=\dfrac { Volume \ of\ Prism}{Volume\ of\ beaker}=\dfrac{100}{100.53}=0.9947[/tex]
hence 0.9947≅1 times you have to fill up the cylindrical beaker before the tank is full.
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A company has found that the number of items sold, x, depends upon the price, p at which they're sold, according the equation x=77000−5p^2
The price has been increasing by $7 per month. Find the rate at which revenue is changing when the price is $70. Note: the answer might be negative
Since the price has been increasing by $7 per month, the rate at which revenue is changing when the price is $70 is $24500/month
To answer the question, we need to know what revenue is
What is revenue?This is the total price for the total amount of goods sold.
Revenue, R = px where
p = price and x = quantity = 77000 - 5p²So, R = px
= p(77000 - 5p²)
= 77000p - 5p³
The rate at which the revenue is increasing
To find the rate at which the revenue is increasing with respect to price, we differentiate R with respect to p.
So, dR/dp = d(77000p - 5p³)/dp
= 77000dp/dp - 5dp³/dp
= 77000 - 15p²
The rate at which the revenue is changing with the price is $70
Substituing p = 70 into dR/dp, we have
dR/dp = 77000 - 15p²
dR/dp = 77000 - 15(70)²
= 77000 - 15(4900)
= 77000 - 73500
= 3500
The rate at which the revenue is changing per month
The rate at which the revenue is changing per month is
dR/dt = dR/dp × dp/dt where dp/dt = rate at which price is changing = $7 per month.
Now, dR/dt = dR/dp × dp/dt
So, dR/dt = 3500 × $ 7/month
dR/dt = $24500/month
So, the rate at which revenue is changing when the price is $70 is $24500/month
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FIND THE EXACT AREA OF THE SHADED PLEASE HELP ILL GIVE BRAINLIESTTTT
well, if we take the whole area of the circle, including the trapezoid in it, and then we get the area of the trapezoid and subtract it from that of the circle's, what's leftover is what we did not subtract, namely the shaded area. Let's notice the circle has a diameter of 20, thus a radius of half that, or 10.
[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ a=12\\ b=20\\ h=8 \end{cases}\implies A=\cfrac{8(12+20)}{2}\implies A=128 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Areas}}{\stackrel{circle}{\pi (10)^2}~~ - ~~\stackrel{trapezoid}{128}}\implies 100\pi ~~ - ~~128~~\approx~~186.16[/tex]
What is the pair of fractions of 1/4 & 1/3
The pair of fractions 1/4 and 1/3 when evaluated is; 7/12.
What is the pair of fractions of 1/4 &1/3?From the task content;
The addition of the pair of fractions 1/4 and 1/3 is required.On this note, it follows that the common factor between the two fractions is used in evaluation.
This therefore follows that the pair of fractions is; 7/12.
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Vistance Formula
Find the distance between the two points. Show all work!
AY
(5.-10). (-5, 4)
Answer:
2 sqrt 74
Step-by-step explanation:
d^2 = ( x1-x2)^2 + (y1-y2)^2
d^2 = ( 5 - -5 )^2 + ( -10 -4)^2
= 100 + 196
d^2 = 296
d = sqrt 296 = 2 sqrt (74)
PLEASE HELP PLEASE HELP PLEASE
Answer:
1:5
Step-by-step explanation:
2:10 = 1:5
Hope it helped !
If the mean of nine values is 25, find the sum of the values
Answer:
Sum of nine values = 225
Step-by-step explanation:
mean=∑[tex](x_{1 } +x_{2} + ...x_{9})/9=25[/tex]
∑ = (25)(9) = 225
Hope this helps
Solve the following system by graphing and identify the point of intersection.
Answer: Option #1: ( -2 , -1 )
Step-by-step explanation:
5(-2) - (-1) = 9
(-2) - (-1) = -1
Factor the following expression.
x^2-14x+49
Answer: Heyaa! ~
Your Answer is... (x−7)² , Which is B.
Step-by-step explanation:
Factor using the perfect square rule!
Explanation:
A whole number that is the square of an integer. Example:
16 is a perfect square because 4⋅ 4 = 16.
Hopefully this helps you! ^^
Answer:
x^2 - 7x - 7x + 49
x(x - 7) - 7(x - 7)
(x - 7) (x - 7)
(x - 7)^2
How many different strings can be made from the letters in ORONO using some or all of the letters? (15 pts.)
The number of different strings that can be made from the letters in ORONO using some or all of the letters is 63
What is the number of permutations in which n things can be arranged such that some groups are identical?Suppose there are n items.
Suppose we have
[tex]i_1, i_2, ..., i_k[/tex]
sized groups of identical items.
Then the permutations of their arrangements is given as
[tex]\dfrac{n!}{i_1! \times i_2! \times ... \times i_k!}[/tex]
We're given the word ORONO.
Case 1: One letter string:3 ways: O, R, or N
Case 2: Two letter string:Subcase: Consists O:
5 ways: OR, RO, ON, NO, OO
Subcase: Doesn't consist O:
2 way: RN, NR
Total permutation under this case = 5+2 = 7
Case 3: Three letter string:Subcase: Consists 3 'O':
1 way: OOO
Subcase: Consists 2 'O':
6 ways: OOR, ROO, ORO, OON, NOO, ONO
Subcase: Consists 1 'O':
6 ways: ORN, ONR, RNO, RON, NOR, NRO (or that there are 3 distinct letters to be arranged, which can be done in 3! = 6 ways)
Subcase: Doesn't consist O:
0 ways as only R and N cannot form three letter string.
Total permutation under this case = 1+6+6= 13
Case 4: 4 letter string:Subcase: Consists 3 'O':
So, we've got {O,O,O,R,N}
3 'O's are mandatory, so fourth letter is either R or N:
O, O, O, R can arrange themselves in : [tex]4!/3! = 4 \: \rm ways[/tex] (as total 4 words but 3 are identical)
Similarly, O, O, O, N can arrange themselves in 4 ways,
So when 4 letter string from ORONO consists of 3 'O's, then total 4+4=8 distinct strings can be made.
Subcase: Consists 2 'O':
So, we've got {O,O,R,N}
The total permuations of these 4 letters, of which 2 are identital is:
[tex]\dfrac{4!}{2!} = 12[/tex]
Subcase: Consists 1 'O':
0 ways: Single 'O' and one-one R and N cannot form four letter string.
Subcase: Doesn't consist O:
0 ways as only R and N cannot form four letter string.
Total permutation under this case = 8+12 = 20
Case 5: Five lettered string:All 5 letters of ORONO would be used.
There are 3 identical objects, so total number of their permutation is:
5!/3! = 20
Thus, from all these cases, we conclude that:
Total permutations of string letters using some or all letters of ORONO is:
3+7+13+20+20 = 63
Thus, the number of different strings that can be made from the letters in ORONO using some or all of the letters is 63
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1. When selecting a sample for a survey, the way you choose your sample:
A:may lead to biased results.
B:is not important.
C:should always include people you can access conveniently.
D:will not change the results of the data.
Answer:
When selecting a sample for a survey, the way you choose your sample: A) may lead to biased results.
Step-by-step explanation:
The way you choose your sample matters a lot in order to help limit the bias in sampling data.
There are four types of random samples: simple, stratified, cluster, and systematic.
There are two types of non-random samples: voluntary response and convenience.
You always want to have a random sample in order to have accurate, non-biased results. Therefore, A) May lead to biased results is the best answer.
Hadeer decides to survey a random sample of students at her school about their favorite sport. There are 800 students in her school. Which of the following sample sizes would best represent the preferences of all the students at her school?
80 students
50 students
8 students
85 students
The best representation of the preferences of all the students at her school will be 80 students.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
The good maximum sample size is usually around 10% of the population, as long as this does not exceed 1000.
The sample size will be calculated as:-
= 10 % of 800
= 800 x 0.1 = 80 students
Therefore the best representation of the preferences of all the students at her school will be 80 students.
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A bag contains 3 green marbles and 7 purple marbles.
a) Determine the fraction that are green marbles.
b) Calculate the percentage that are purple marbles.
Answer:
Below in bold.
Step-by-step explanation:
Total of 10 marbles in the bag.
a) Fraction that are green = 3/10.
b) Fraction that are purple = 7/10
= 100 * 7/10
= 90*7
= 70%
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
x=8
Step-by-step explanation:
2x-5 = x+3
2x = x+8
x=8
[tex]\huge{\boxed{\mathfrak\pink{\fcolorbox{pink}{pink}{Answer:-}}}}[/tex]
[tex] \underline{ \boxed{ \sf{✰\: Important \: points:- }}}[/tex]
Here AB||CDnd hence opposite side in parallelogram are congruent.[tex] \underline{ \boxed{ \sf{✰\: Let's\:Solve}}}[/tex]
[tex] \sf \: ↠x + 3 = 2x - 5 \\ \sf \:↠ arranging \: terms \\\sf \: ↠ - 2x - x - = - 5 - 3 \\ \sf \: ↠- x = - 8 \\\sf \: ↠ x = - ( - 8) \\\sf \: ↠ x = 8[/tex]
★ Hence x= 8
Hope it helps!
Identify the maximum or minimum value, domain, and range of the graph of the quadratic function.
Answer:
See below ~
Step-by-step explanation:
Details of the graph of the quadratic equation
Minimum value = -1Domain : all real numbersRange : y ≥ -1Congruent yes or no Congruent? ___________
If so, what property? ________
Answer:
Yes
Property: Scalene
Step-by-step explanation:
ask my friend
Jack Enough
Consider the problem: After charging for 1/3 of an hour, a phone is at 2/5 of its full power. How long will it take the phone to charge completely?
Base on the given ratio, it will take the phone 5/6 hours to charge completely
How to determine the time to charge completely?The given parameter can be represented as:
Ratio = Time : Proportion
So, we have:
Ratio = 1/3 : 2/5
To charge fully, we have:
Time : 1 = 1/3 : 2/5
Express as fraction
Time/1 = 1/3/ 2/5
Evaluate
Time = 5/6
Hence, it will take the phone 5/6 hours to charge completely
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