If a coffee machine dispenses 8-ounce cups of coffee automatically. and the amount of coffee may vary by 3% then the least and greatest number of ounces the coffee machine may dispense is 7.76 and 8.24 respectively.
The least and greatest number of ounces the coffee machine may dispense can be calculated by converting the percentage given.
As, 3% = 3 / 100
3% of 8 = 3 / 100 × 8 = 24 / 100 = 0.24
Now by adding and subtracting the calculated value to 8, the least and greatest number of ounces can be determined.
8 - 0.24 = 7.76
8 + 0.24 = 8.24
Hence, the least ounces the coffee machine may dispense is equal to 7.76 and the greatest number of ounces the coffee machine may dispense is calculated to be 8.24 ounces.
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HELP ME PLEASEE GEOMETRY!!! WILL GIVE BRAINLIEST AND 5 STARS!!
Help me edjdhvsvjwjsjdhsb
Answer:
C
Step-by-step explanation:
Evaluate the function graphically -!
Step-by-step explanation:
to find f(6) we basically see which y coordinate correlates with x = 6
in this case the answer is 5
Which answer best describes the system of equations shown in the graph?
A. NoSolution. B. One Solution
C. Infinitely Many Solutions
can someone answer my question now please (╯︵╰)
EXERCISE 1:
A. Directions: Find the quotient.
1. What is 45.80 divided by 20?
2. What is the quotient of 243.15 and 15?
3. Find the quotient when 94.5 is divided by 15?
4. How many 8 kg are there in 164.44kg?
5. How many 5 m are there in 261.45m?
B. Directions: Find the quotient.
1. 10.14 + 2.6 = ________
2. 1.332 + 1.5 = ________
3. 12.35 + 1.9 = ________
4. 332.38 + 1.6 = _______
5. 73.8 + 3.6 = _________
Answer: 1.)2.29 2.)16.21 3.)6.3 4.)20.555 5.)52.29
1.)12.74 2.)2.832 3.)14.25 4.)333.98 5.)77.4 Glade to help
Step-by-step explanation:
PLEASE HELP!!!!!!
Determine whether the sequence appears to be an arithmetic sequence. If so, find the common difference and the next three terms in the sequence.
0, 10, 18, 25, 33, ...
A. yes
common difference: −9
next three terms: 24, 15, 6
B. not an arithmetic sequence
C. yes
common difference: 10
next three terms: 43, 53, 63
D. yes
common difference: 8
next three terms: 41, 49, 57
Step-by-step explanation:
B) not an arithmetic sequence
d not equal in the sequence
1.sum of three consecutive even numbers is 12 the number are
0,5,7
1,3,8
2,4,6
Answer:
The third number is two more than the second number, so it is x+2+2, or simply x+4. Solve for x by combining like terms. The first number is 2, the second is 4, and the third is 6. When we add them together, we have 2+4+6=12.
Answer:
2,4,6
Step-by-step explanation:
first consecutive even number is X , then X+ 2 and X+4
sum = X + X+ 2 + X +4 = 12 then solve
A store manager receives a delivery of 2 boxes of lightbulbs. Each box contained 2 broken light bulbs.
The 1st box contained 24 light bulbs.
The 2nd box contained 16 light bulbs.
Which statement is true?
A The probability of randomly selecting a broken light bulb from the 1st box is equal to the
probability of selecting a broken light bulb from the 2nd box
B The probability of randomly selecting a broken light bulb from the 1st box is 1/2
С The probability of randomly selecting a broken light bulb from the 1st box is less then the
probability of selecting a broken light bulb from the 2nd box
D The probability of randomly selecting a broken light bulb from the 1st box is equal to 1
Answer:
I think its C. correct me if I'm wrong
Step-by-step explanation:
Factor the polynomial.
5x2 + 11x + 2
Answer:
(5x+1)(x+2)
Step-by-step explanation:
Factor 5x2+11x+2
5x2+11x+2
=(5x+1)(x+2)
Answer:
10x?
Step-by-step explanation:
for a polynomial of the form ax2 + bx + c, rewrite the middle term as a sum of two terms whose product is a*c = 5*2 = 10 and whose sum is b = 11
In a mathematics test of 20 questions each rightanswer is awarded 5 marks and 2 marks deducted for each wrong answer given. A certain student got 65%. How many questions did she get right?
A. 13
B. 7
C. 15
D. 5
Answer:
C. 13
Step-by-step explanation:
65% = 65/100
divide 65 by 5= 13
why? because each answer is worth 5 marks so we divide the total by 5.
Write the next three terms of the arithmetic sequence.
First term: 2
Common difference: 13
The next three terms, in order, are
and
Kn lk
Answer:
t2=15
t3=28
t4=41
first term (a)=2
common difference (d)=13
General terms tn=a+(n-1)d
The circumference of a circle is 13π m. What is the area, in square meters? Express your answer in terms of π π.
Answer:
13×(22/7)whole square
Answer:
42.25π
Step-by-step explanation:
The circumference is the diameter times pi.
This means that 13π/π=13 (the diameter)
The radius is diameter/2, so it is 13/2 which is 6.5
The area is the radius squared times pi
6.5^2 = 42.25
42.25π is the area
What is the volume of this sphere?
Use S 3.14 and round your answer to the nearest hundredth.
7 mm
cubic millimeters
Answer:
1436.03 mm³
Step-by-step explanation:
I believe the 7mm should be the radius?
The volume of a sphere is [tex]\frac{4}{3}[/tex]πr³
[tex]\frac{4}{3}[/tex]π * 343
since pi is rounded to 3.14, we get
1436.026 mm³
Nancy hopes to collect 100 oysters from the ocean. She has
collected 15% of her goal so far. How many oysters does
she have?
Answer:
15 oysters have been collectedStep-by-step explanation:
15/100 x 100
100 on the right hand side being the oysters she must collect and the 15% being the percentage of oysters she has collected divided by 100 which is used when finding out the percentage of numbers
Line segment AC is given by A (-3,6) and B (6,9). Find the coordinates of point B such that AB:BC is 2:1 Please help now
Answer:
(0, 7)
Step-by-step explanation:
Using the midpoint formula expressed as;
M (X, Y )= [(ax1+bx2/a+b), (ay1+by2/a+b)]
where a and b are the ratios
Given
a = 2
b = 1
x1 = -3
y1 = 6
x2 = 6
y2 = 9
Get the coordinate of B
Get X;
X = ax1+bx2/a+b
X = 2(-3)+1(6)/2+1
X = -6+6/3
X = 0/3
X = 0
Get Y;
Y = ay1+by2/a+b
Y = 2(6)+1(9)/2+1
Y = 12+9/3
Y = 21/3
Y = 7
Hence the coordinate of B is (0, 7)
What is an equation of the line star passes through the points(-8,8) and(4,-1)? Put your answer in fully reduced form
how to write 628 divided by 1300
Answer:
1300/628
Step-by-step explanation:
Name the shapes that are being described.
a.) ‘I have three sides that are all the same length.
I have three equal angles.
I have three lines of symmetry and rotational symmetry of order 3.
b.) ‘I have four sides.
I have one line of symmetry and rotational symmetry of order 1.
Two of my angles are equal.I have two pairs of equal length sides.
C.) ‘I have six sides.
All my sides are the same length.
I have six lines of symmetry and rotational symmetry of order 6
Kyra was at soccer practice. she blocked 55% of the goals that were kicked at her during a team drill. ashley scored two of the 18 goals that were made during the drill. how many total kicks were attempted
Answer-
Total kicks that were attempted = 40
Explanation
Goals blocked by Kyra = 55%;
Goals which could not be blocked by Kyra = 100 - 55 = 45%
Goals made during team drill = 18
Let total kicks attempted be 'n';
Therefore;
(18/n) × 100 % = 45 %
18/n = 45/100;
n = 1800/45;
n = 40
The time period "percentage" is derived from the Latin per centum, which means "hundred" or "with the aid of the hundred".[5][6] The sign for "percentage" evolved via gradual contraction of the Italian term in line with cento, which means "for 100". The "according to" turned into regularly abbreviated as "p."—subsequently disappeared completely. The "cento" was reduced in size to two circles separated through a horizontal line, from which the present day "%" image is derived.
In mathematics, a percentage (from Latin: in line with centum, "by a hundred") is quite a number or ratio expressed as a fraction of 100. it's miles often denoted using the percentage signal, "%",[1] although the abbreviations "pct.", "pct" and sometimes "pc" also are used.[2] A percentage is a dimensionless number (natural wide variety); it has no unit of size.
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- What is the slope of a line parallel to the line whose equation is 8x − 6y = −24. Fully simplify your answer.
Slope of the new line parallel to the line whose equation is 8x − 6y = −24 will be 4/3
What is slope in straight line?
Generally, the slope of a line gives the measure of its steepness and direction. The slope of a straight line between two points says (x1,y1) and (x2,y2) can be easily determined by finding the difference between the coordinates of the points. The slope is usually represented by the letter 'm'.
y-y1=m(x-x1)
Given line,
8x − 6y = −24
6y = 8x +24
y = (8/6)x + 24/6
y = 4/3x + 4
slope, m=4/3
Since, the new line that passes is parallel to the line 8x − 6y = −24, the slope of the new line will be the same.
Therefore, Slope of the new line parallel to the line whose equation is 8x − 6y = −24 will be 4/3
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Pls be right will give brainliest
Answer: B
Step-by-step explanation:
17. What is the value of 1 +-6-(-3.5)?
Answer:
-1.5
Step-by-step explanation:
negative times negative equals positive so:
1 +-6-(-3.5)
1 + -6 + 3.5
add
-5 + 3.5
-1.5
Answer:
1.5 please like! mark brainliest
Step-by-step explanation:
Segment AB measures 3 cm. Point O is the center of dilation. How long is the image of AB after a dilation with scale factor 1/5
Answer: a. AB = 15cm long.
b. AB = 11.1cm long.
Step-by-step explanation: Image of AB after a dilation of scale factor 5 is 5 × 3cm = 15cm long.
Image of AB after a dilation of scale factor 3.7 is 3cm × 3.7 = 11.1cm long.
Miguel ran 3.8 miles on Monday, 3.9 miles on Tuesday, 4.2 miles on Wednesday and 4.4 miles on Thursday. How many miles should he run on Friday to have an average of 4 miles per day
Answer:
Step-by-step explanation:
Solutions
Solution: Using a table
A B C D E F
Number of Minutes 150 15 7.5 30 45 60
Number of Miles 20 2 1 4 6 8
The values in column B were found by dividing both values in column A by 10. The values in column C were found by dividing both values in column B by 2. The other columns contain multiples of the values in column B.
If we look in column E, we can see that it would take her 45 minutes to run 6 miles.
If we look in column B, we can see that she could run 2 miles in 15 minutes.
If we look in column F, we can see that she is running 8 miles every 60 minutes (which is 1 hour), so she is running 8 miles per hour.
If we look in column C, we can see that her pace is 7.5 minutes per mile.
Solution: Finding a unit rate
If we divide 150 by 20, we get the unit rate for the ratio 150 minutes for every 20 miles.
150÷20=7.5
So the runner is running 7.5 minutes per mile. We can multiply this unit rate by the number of miles:
7.5minutesmile×6 miles=45 minutes
Thus it will take her 45 minutes to run 6 miles at this pace.
If it takes her 45 minutes to run 6 miles, it will take her 45÷3=15 minutes to run 6÷3=2 miles at the same pace.
If it takes her 15 minutes to run 2 miles, it will take her 4×15=60 minutes to run 4×2=8 miles at the same pace. Since 60 minutes is 1 hour, she is running at a speed of 8 miles per hour.
We found her pace in minutes per miles in part (a).
HELPPPP!!!!! ASAPPP!!! TIMEDDDDDDD!!!!!!!!!!!!!
Which of the following examples have a constant rate of change?
An electrician earns $50 the first hour plus $35 for every additional hour.
You are making meatballs and roll out 30 meatballs the in a half hour and then another 30 meatballs in the next 20 minutes.
The number of bacteria triples every hour.
The money you put in the bank earns 2% interest. This means that the bank pays you 2% of the amount of the money kept in the bank each year.
Answer:
It ia an electrician earns $50 the first hour and $35 for every additional hour.
Step-by-step explanation:
I did the quiz andmgot it right.
Answer: a
Step-by-step explanation: i got it on a quiz
Write a linear function f with the values f(0) = 8 and f(4) = 20.
Step-by-step explanation:
f(0)=8
Coordinate: (0,8)
y intercept,c: 8
f(4)=20
Coordinate: (4,20)
gradient, m
= (20-8)/(4-0)
=3
Y=mx+c
f(x)=3x+8
f(x)=3x+8 is the linear function f with the values f(0) = 8 and f(4) = 20.
What is Linear Function?A linear function is a function that represents a straight line on the coordinate plane.
The given functions are f(0)=8 and f(4) =20
For f(0)=8
Coordinate: (0,8)
y intercept, c: 8
For f(4)=20
Coordinate: (4,20)
gradient or slope, m when x₁=0,y₁=8,x₂=4, y₂=20
=( y₂-y₁)/(x₂-x₁)
= (20-8)/(4-0)=12/4
=3
The linear equation is in the form, y=mx+c
So f(x)=3x+8, where 3 is the slope and 8 is y intercept.
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Write down the inequality described by "half of x is no more than six", and solve it
Find the values of the six trigonometric functions of an angle in standard position if the point with coordinates (6,-5) lies on
its terminal side.
The answer is C!!
Jack and Jill are walking toward each other on a path. When they start out they are 15 miles apart. Jack walks at a pace of 1.5 miles per hour. Jill walks at a pace of 2 miles per hour. How far apart will they be after 4 hours.
Answer:
1 mile
Step-by-step explanation:
Step one:
given
total distance = 15miles
Jack walks at a pace of 1.5 miles per hour
after 4 hours he will cover a distance of
1.5*4= 6 miles
Jill walks at a pace of 2 miles per hour
after 4 hours he will cover a distance of
2*4= 8 miles
Step two:
The total distance jack and jill must have covered after 4 hours is
8+6= 14 miles
the distance apart will be 15-14= 1 mile
The quadratic functions f(x) and g(x) are described as follows
g(x)
0 -5 1 3 2 11 3 3 4 -5
Which statement best compares the maximum value of the two functions?
The descriptions of the quadratic functions f(x) and g(x) are as follows:
f(x) = [tex]-2x^{2} +9[/tex]
x g(x)
0 −5
1 3
2 11
3 3
4 −5
Which sentence compares the two functions' maximum values the most effectively?
(a)The maximum value is the same for both functions.
(b) f(x) has a greater maximum value than g(x).
(c) The greatest value of g(x) is bigger than that of f(x).
(d) The maximum values cannot be determined.
The statement that best compares the maximum value of the two functions is g(x) has a greater maximum value than f(x) that is Option (c).
The maximum value is the point at which a function reaches its peak is known as its maximum value.
To compare both functions.
Take function f(x)= [tex]-2x^{2} +9[/tex]
Differentiate the function f(x)
f'(x) = -4x
Take f'(x) as 0
-4x = 0
x = 0
Substitute x = 0 in f(x)
f(0) = [tex]-2(0)^{2} +9[/tex]
f(0) = 9
This means that the greater value of function f(x) is 9.
From the table of function g(x), the maximum is 11.
11 is greater than 9
Therefore, The greater value of g(x) is bigger than that of f(x).
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