Answer:
2.5
Step-by-step explanation:
"Four different positive integers have a mean (average) of 100"
The total of the 4 numbers is then 4* 100 = 400
"the positive difference between the smallest and largest of these integers is as large as possible"
to get the greatest difference the first 3 numbers must be
1, 2 and 3 which totals 6
the 4th number is then 400 - 6 = 394
the four numbers are 1, 2, 3 and 394
The greatest difference is between 1 and 394
"the average of the other two integers"
(2 + 3)/2 = 2.5
The average of the other two integers is 1.5.
What is the average of the two numbers?
An integer is an whole number. An example of an integer is 20.
If the mean of the four integers is 100. It means that the sum of the integers must be 400. If the integers are 0,1,2, 397. The largest number is 397 and the smallest number is 0. The average of the other two integers is (1 + 2 ) / 2 = 1.5
To learn more about mean, please check: https://brainly.com/question/25842202
At the craft store, Ivan bought a bag of orange and purple marbles. The bag contained 48 marbles, and 75% of them were orange. How many orange marbles did Ivan receive?
Answer:
jjjjjjjjjjjjjjjjjjjjjjjj
a recipe calls for 24 fluid ounces of light whipping cream. if anthony has 1.5 pints of whipping cream in his refrigerator does he have enough for the recipe
Answer:
Yes
Step-by-step explanation:
He has 24 fluid ounces. You know this because in 1 pint, there are 16 fluid ounces. In half of one pint there are 8 ounces. 16 + 8 = 24 oz
I hope this could help!
Answer:
yes and he will have 4.8228 fluid ounces left over
Step-by-step explanation:
1.5 pints + 28.8228 US fluid ounces
Side AB of a parallelogram ABCD is produced upto point E. If m<CBE = 35°, find m<ADC.
Answer:
The measure of ∠ADC = 145°
Step-by-step explanation:
ABCD is a Parallelogram.
AB is produced to E .
∠CBE = 35°
We know that
∠ABC + <CBE = 180[tex]\degree[/tex]
Since , they are linear pair
➜ ∠ABC + 35° = 180°
➜ ∠ABC = 180°-35°
➜ ∠ABC = 145°
We know that
In a Parallelogram, Opposite angles are equal.
➜ The opposite angle of ∠ABC = ∠ADC
➜ ∠ADC = 145°
Therefore, The measure of ∠ADC = 145°
Read more:Similar Questions
In the accompanying diagram of the parallelogram ABCD, AB is extended to E such that CB is congruent to CE. If m< ADC = 100, what is m<CEB?
https://brainly.com/question/22056209?referrer
Which ordered pair is NOT in the solution set of −2x + 3y ≥ 12?
A. (-3,5)
B. (-5,0)
C. (0,6)
D. (-5,3)
Answer:
B
Step-by-step explanation:
Tracy has 3/4 pounds of rice to give to 6 of her friends. If each
friends gets an equal amount, how much rice will each friend
receive?
Answer:
1/8 Pounds
Step-by-step explanation:
Since Tracy gives 3/4 pounds of rice to 6 of her friends, you will need to divide it among 6 people.
3/4 ÷ 6
= 3/4 * 1/6
= 1/4 * 1/2 (cross multiplication)
= 1/8.
Therefore, each of her 6 friends received 1/8 Pounds of rice
I hope this helped!
Please help ASAP!! I am in desperate need and please don’t just do this for points
Answer:
[tex]106 yd^2[/tex]
Step-by-step explanation:
Answer is attached. Let me know if you would like another explanation that would yield the same solution.
8.
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.
y = (3x + 4)(−2x − 3)
A. linear function; linear term: −17x; constant term: −12
B. quadratic function; quadratic term: 12x^2; linear term: 18x; constant term: −12
C. quadratic function; quadratic term: −6x^2; linear term: −17x; constant term: −12
D. linear function; linear term: −6x^2; constant term: −12
Answer:
C. quadratic function; quadratic term: −6x^2; linear term: −17x; constant term: −12
Step-by-step explanation:
Answer:
quadratic function; quadratic term: −6x² ; linear term: −17x; constant term: −12
Step-by-step explanation:
The given function is
We need to expand the RHS to get:
We can see that the degree of this polynomial function is 2 and hence it is a quadratic function.
The quadratic term is -6x²
The linear term is -17x
The constant term is -12
Emma withdraws $20 each week from her bank account. After 3 weeks, she has $150 left in her account.
Let `x` represent the number of weeks and `y` represent the amount of money in Emma's bank account.
Write an equation to represent this situation in slope-intercept form `y=mx+b.`
Answer:
210-20x=y
Step-by-step explanation:
150 is after 3 weeks of withdrawing 20 so $60
150+60=210 is the beginning amount
210-20x=y
Evaluate the expression for b = 3 and c = 5.
b2c − 11 =
Answer:
34Step-by-step explanation:
b = 3 and c = 5Substitute and evaluate:
b²c - 11 =3²*5 - 11 = 9*5 - 11 =45 - 11 =34Answer:
[tex]b = 3 \ \: \: : c = 5 \\ \\ b {}^{2} c - 11 = \\ \\ \\ {3}^{2} \times 5 - 11 = \\ \\ 9 \times 5 - 11 = \\ \\ 45 - 11 = \\ \\ = 34[/tex]
Can someone pls help me with this
Answer:
were is the qn?
Step-by-step explanation:
What is the equation of the line that passes through the point (-3,-6) and (2,-2)
Answer:
[tex]y=\frac{4}{5}x-\frac{18}{5}[/tex]
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through the point (-3, -6) and (2, -2)
There are 3 ways to write the equation of the line:
In slope-intercept form, which is y=mx+b, where m is the slope and b is the y interceptIn point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1,y_1)[/tex] is a pointIn standard form, which is ax+by=c, where a, b, and c are integer coefficients, but a and b cannot be zero, and a cannot be negativeThe easiest way would either be slope-intercept or point-slope form, but let's write the equation in slope-intercept form, since it's the most common way
So we'll need to find the slope
The formula for the slope calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have everything needed to find the slope, let's just label the values of the points to avoid any confusion:
[tex]x_1=-3\\y_1=-6\\x_2=2\\y_2=-2[/tex]
Now substitute these values into the formula. Remember that m is the value of the slope:
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-2--6}{2--3}[/tex]
Simplify the fraction:
m=[tex]\frac{-2+6}{2+3}[/tex]
Add the numbers together:
m=[tex]\frac{4}{5}[/tex]
So the slope of the line is 4/5
Let's plug it into the formula y=mx+b, since we now know the value of m
y=[tex]\frac{4}{5}[/tex]x+b
Now let's find b
As the equation passes through both (-3, -6) and (2, -2), we can use either point to help solve for b
Either point works, but let's take (2, -2) for instance
Substitute 2 as x and -2 as y
-2=4/5(2)+b
Multiply
-2=8/5+b
subtract 8/5 from both sides
-18/5=b
Now substitute -18/5 as b into the equation:
[tex]y=\frac{4}{5}x-\frac{18}{5}[/tex]
Hope this helps!
PLEASE HELP WILL MARK BRAINLIEST
Answer:
a
Step-by-step explanation:
Please help quick! Thanks!
Answer:
<
Step-by-step explanation:
8^2=64
64+9=73
73-3=70
8*8=64
64+24=88
88-16=72
70<72
The graph of a function is shown on the coordinate plane below. Identify the rate of change of the function.
Answer:
[tex]\frac{5}{3}[/tex]
Step-by-step explanation:
The slope m is a measure of the rate of change
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with |(x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (3, 4) ← 2 points on the line
m = [tex]\frac{4-(-1)}{3-0}[/tex] = [tex]\frac{4+1}{3}[/tex] = [tex]\frac{5}{3}[/tex] ← rate of change
Answer:
slope(m) = 7/4
Step-by-step explanation:
You can use Rise over run in order to find out the answer. I just used points (0,-1) and (4,6) and the rise was positive 7 while the run is 4 so the rate of change or the slope is 7/4.
You could also use the long way to figure the slope of the line. You could use (y2 - y1) / (x2, x1) to get the same slope
could you show me the step please and thank you
[tex]\dfrac{(2 x^{-3} y^{-2})^5}{(6x^{-1} y^{-8})^2}\\\\\\=\dfrac{32x^{-15} y^{-10}}{36 x^{-2} y^{-16}}\\\\\\=\dfrac{8}{9} \left(\dfrac{x^{-15}}{x^{-2}} \right) \left(\dfrac{y^{-10}}{y^{-16}} \right)\\\\\\=\dfrac 89 \left(x^{-15+2} \right) \left(y^{-10 +16} \right)\\\\\\=\dfrac 89 \cdot x^{-13} \cdot y^6\\\\\\=\dfrac{8y^6}{9x^{13}}[/tex]
Leaks can write a 500 word essay in an hour. If she writes an essay in 10 minutes, about how many words do you think the essay contains. PLEASE TELL ME HOW TOU DID IT! WILL MARK BRAINLIEST
Answer:
83.3
Step-by-step explanation:
Alright so
She can write 500 words per hour
An hour is 60 minutes
500 divided by 6 (because 6x10= 60)
so you get est. 83 words per 10 mins.
To double check, do 83x6= 498, which is because the 83, is 83.3 (repeating)
solve pls brainliest
Answer:
$8
Step-by-step explanation:
20% of $40
= [tex]\frac{20}{100}[/tex] × $40
= 0.2 × $40
= $8
$8 is discounted from the regular price
Answer:
$8 off
Step-by-step explanation:
Convert from a percentage to a multiplier by dividing by 100:
[tex]\frac{20}{100}=0.2[/tex]
Then multiply that by the price:
[tex]40*0.2=8[/tex]
meaning the item is $8 off.
You can confirm that like so:
[tex]\frac{8}{40} =0.2\\[/tex]
or 20%
determine the measurement of segment XV
Answer:
Segment XV is equal to 24 mm
Step-by-step explanation:
Both triangles are clearly congruent, both having the same type of angles as well as angle LKJ and angle VKW having the same angle measure, 21 degrees. Lastly, if you were to take out segment JL and WV, the triangles would fold the same. All of this leads to segment XV being the same as segment KL which leads it to be 24 mm. (Sorry if this is confusing, just trying to explain how my brain understood the problem. If you need me to elaborate more let me know).
In the figure, Line a is parallel to line b.
A. Which equation can be used to determine the value of x?
a
3x = 180 - 2x + 20
b
3x = 2x + 20
c
90 - 3x = 2x + 20
d
3x + 2x + 20 = 180
Answer:
b
Step-by-step explanation:
FIND THE SLOPE OF THE LINE
Answer:
4/1
Step-by-step explanation:
To get from one dot to the next, you go up by four and to the right by one, making the slope 4/1
Given m||n, find the value of x.
m
t
(5x-5)
(6x-27)
Step-by-step explanation:
due to the laws of symmetry of the angles of 2 crossing lines (and parallel lines are simply repeating and mirroring these angles), both angles must be equal.
5x - 5 = 6x - 27
-5 = x - 27
x = 22
A recipe calls for 310 cup of sugar for every 5 cups of water. How many cups of sugar are needed for 25 cups of water?
Answer:
1550 cups
Step-by-step explanation:
multiply everything by 5
With a population standard deviation of 10 and a sample size of 4, what is the standard error of the mean
With a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the mean
Step-by-step explanation:
Is there a direct proportion in 4.5a = b + 12
plsss help me with this:((((
Answer: c. x + 3
Step-by-step explanation:
The first equation tells us the total area of the cloth. The second is the area of each piece. Divide the total area by the piece area to determine how many individual pieces can be made.
(x^3 + 27) can be factored into:
(x+3)(x^2 - 3x + 9) [Not easy, but true]
[(x+3)(x^2 - 3x + 9)]/(x^2 - 3x + 9)
(x^2 - 3x + 9) is on both sides, so it cancels, leaving (x + 3)
Alex was thinking of a number. Alex doubles it and adds 0.9 to get an answer of 21.2. Form an equation with x from the information.
Answer:
2x + 0.9 = 21.2
Step-by-step explanation:
Let x be the number
The number was doubled so it should be 2x, then add 0.9 equals to 21.2
Answer: 2x + 0.9 = 21.2
and x = 10.15
Step-by-step explanation:
Kaio bought a meal in a town for $20. Sales tax was 6.5% and he left a 15% tip. What was the amount Kaio paid in sales tax?What was the amount Kaio left as a tip?
What was the total cost of the meal?
A.$4.30
B.$21.30
C.$23.00
D.$24.30
John is having a new deck built. He paid $485 for the required materials, and he will pay his brother $25 an hour to build the deck
Answer:
The answer is not finished but if John is buying the materials and paying for the labor then the answer will be $510.
Step-by-step explanation:
I’m sorry if I didn’t help but the answer is not written out enough…
3
Choose the option(s) that will show the effect (x-2. y+3) has on the figure?
left 2 units
down 2 units
down 3 units
up 2 units
right 3 units
left 3 units
up 3 units
right 2 units
Hiii!!! Can some one please help meee!!! I will give you a lot of points!!!
Answer:
left 2 units, up 3 units
Step-by-step explanation:
(x-2, y+3)
-2 means 2 to the left
+3 means 3 up
So it would be left 2 units, up 3 units.
Answer:
left 2 units up 3 unitsStep-by-step explanation:
Rule:
If x+b right in b units
if x-b left in b untits
if y+b up in b units
if y-b down in b units
You don 't have to use this rule if you know that on the Ox axis the line goes horizontally (the abscissa axis); And on the Oy axis vertically (the ordinate axis)
Then :
x-2 left in 2 units
y+3 up in 3 units
A food truck sells tacos, burritos, and drinks.
Let event A = A customer buys a taco.
Let event B = A customer buys a drink.
What does PA or B) = 0.55 mean in terms of this problem?
A. The probability that a customer buys both a taco and a drink is
55%.
B. Buying a taco and buying a drink are mutually exclusive events.
C. The probability that a customer buys neither a taco nor a drink is
55%.
O D. The probability that a customer buys a taco, a drink, or both is
55%.
Answer:
D. The probability that a customer buys a taco, a drink, or both is
55%.