A barista is mixing a house blend of coffee that is 25% light roast. If there are 8 pounds of the light roast available, how much of the blend can the barista make?
The amount of blend that the barista can make is 2
What is percentage?Percentage can be defined as the ratio of a number to 100.
It is represented using the symbol; '%'
From the information given, we have;
We have 25% of light roastThere are also 8 pound of light roastTo get the amount of blend, we have;
= 25% of 8 pound
This is expressed as;
= 25/ 100 × 8
= 0. 25 × 8
= 2 blends
Thus, the amount of blend that the barista can make is 2
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What are the coordinates of G after it is ROTATED 90 DEGREES CLOCKWISE?
The coordinates of G after it is rotated by 90 degrees will be ( 3, 4 ).
What is a translation?
The process of changing the location of the image on the coordinate system will be known as the translation.
Our point A(x,y) becomes A' when a point is rotated 90 degrees counterclockwise about the origin (-y,x). To put it another way, flip x and y, and make y-negative.
Given that point, G is translated to 90 degrees. The translated coordinates of point G will be calculated as:-
( -x, y ) = ( y, x )
( -4 , 3 ) = ( 3 , 4)
Therefore, the coordinates of G after it is rotated by 90 degrees will be ( 3, 4 ).
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Given f(x) = x^2- 3x + 5, what is f(-2)?
Step-by-step explanation:
f(x) = x² - 3x + 5
f(-2) = (-2)² - 3.(-2) + 5
f(-2) = 4 + 6 + 5
f(-2) = 15
Answer:
Step-by-step explanation:
Comment
In general, f(x) can be thought of as being y. So the equation could read as "Let x = - 2" when y = x^2 - 3x + 5.
Another way of thinking of it is by saying f(-2), wherever you see an x on the right hand side, substitute the value given on the left side (in this case x = - 2
Solution
f(-2) = (-2)^2 - 3x + 5
f(-2) = 4 - 3(-2) + 5 Combine
f(-2) = 4 + 6 + 5 Add
f(-2) = 15
Please help me I’ll mark brainly
Answer: -3
Step-by-step explanation:
In the expression 5+2+ 5 x + 2 x + x , you can combine
In the expression 5 + 2 + 5x + 2x + x we can combine the like terms to get the simplified form of the expression as 7 +8x.
What are like terms?If two words have the same variable portion, we refer to them as "like terms." When comparing algebraic terms to locate similar terms, we first disregard the coefficients and merely check to see if the variables and exponents are the same. The terms that meet this requirement are known as like terms.
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given expression 5 + 2 + 5x + 2x + x
Combine the like terms
5 + 2+ 5x + 2x +x
=(5+2) + (5+2+1)x
= 7+ 8x
This is the simplified form of the given expression.
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In the morning, there were 260 cars in a parking lot. In the evening, the number of cars decreased by 35%. How many cars remained in the parking lot?
169 cars are remaining in the parking lot
How to calculate the number of cars left in the parking lot ?There are 260 cars in the parking lot
This number decreased by 35%
100% - 35%
= 65%
65/100
= 0.65
The number of cars left can be calculated as follows
= 260 × 0.65
= 169
Hence there are 169 cars left in the parking lot
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Can someone please help
Answer: 40
Step-by-step explanation:
when x=0, y=0
when x=2.5, y=100
(y2-y1)/(x2-x1)=
(100-0)/(2.5-0)=
100/2.5=40
Answer:
40
Step-by-step explanation:
the point on the graph is (1,40). The ordered pair is in the form (x,y) The constant of proportionality is the y/x or 40/1 which equals 40.
Graph the line y=kx+1 given that the point M belongs to the line. M (1, 3)
The graph of the equation of the line y = k · x + 1 is shown in the image attached below.
How to derive and graph the equation of a line
In this problem we know that a function represents a line and that a point belongs to it. The equation of the line is of the form:
y = k · x + 1
Where k is the slope of the line equation.
If we know that (x, y) = (1, 3), then the equation of the line is:
3 = k + 1
k = 2
Then, the equation of the line is y = 2 · x + 1 and we proceed to graph the equation by means of a graphing tool. The result is presented in the image attached below.
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A line has a slope of 1/10 and passes through the point (-10, 4). What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.
[tex](\stackrel{x_1}{-10}~,~\stackrel{y_1}{4})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{10} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{ \cfrac{1}{10}}(x-\stackrel{x_1}{(-10)}) \implies y -4= \cfrac{1}{10} (x +10) \\\\\\ y-4=\cfrac{1}{10}x+1\implies {\LARGE \begin{array}{llll} y-\cfrac{1}{10}x+5 \end{array}}[/tex]
On a long hike Lucy drank 6 pints of water. How much is this in quarts?
On a long hike Lucy drank 6 pints of water, which is equal to 3 quarts.
What is quarts?An English measurement of volume equal to one-quarter gallon is the quart. There are now three different types of quarts in use: the liquid quart, dry quart, and imperial quart of the British imperial system. One liter is roughly equivalent to each. It is divided into four cups or two pints (in the US). The precise dimensions of the quart have historically changed in line with shifting values of gallons over time and in relation to various commodities.
A measure of liquid capacity that is equal to two pints or a quarter of a gallon, or roughly 0.94 liter in the US and 1.13 liter in the UK.
Since, 1 quart = 2 pints
Therefore by unitary method we can say,
2pint= 1 quart
6pint= 3quarts
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Solve for y.
6x - 4y = 11
Answer:
y = 3/2x -11/4
Step-by-step explanation:
6x - 4y = 11
Solve for y
Subtract 6x from each side
6x-6x - 4y =-6x+ 11
- 4y =-6x +11
Divide each side by -4
-4y/-4 = -6x/-4 + 11/-4
y = 3/2x -11/4
Answer:
[tex] \sf \: y = \frac{(11 - 6x)}{ - 4} \\ [/tex]
Step-by-step explanation:
[tex] \sf \: First, \: take \: 6x \: to \: right \: side.[/tex]
[tex] \sf \: - 4y = 11 - 6x[/tex]
[tex] \sf \: Now \: divide \: both \: sides \: by \: -4 \: to \: make \: y \: the \: subject. [/tex]
[tex] \sf \: \frac{ - 4y}{ - 4} = \frac{(11 - 6x)}{ - 4} \\ \sf \: y = \frac{(11 - 6x)}{ - 4} [/tex]
Ling is a camp counselor at a local summer camp. She is in charge of the weekly craft activity
for 40 campers. She plans to make fabric-covered frames that each require 1/6 yard of fabric.
The camp director gave her 6 2/3 yards of fabric remnants for this project. Does Ling have
enough fabric for her craft activity?
She has the exact amount of fabric that she needs for this project.
Does Ling have enough fabric for her craft activity?
We know that she is in charge of 40 campers, and she wants to make fabric-covered frames, such that each one needs 1/6 yards of fabric.
We know that he has a total of 6 + 2/3 yards to do this, and we need to see if that is enough.
Now, for each one of the 40 campers she needs 1/6 yards, so the total amount she needs is given by the product:
T = 40*(1/6 yards) = 40/6 yards = (36 + 4)/6 yards = (6 + 4/6) yards
T = (6 + 2/3) yards
So she has the exact amount of fabric that she needs for this project.
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Drake Kennedy's regular-time pay rate is $12.73 an hour. Last week he was paid for 37.5 hours at his
regular rate and for 5 hours at a time-and-a-half overtime rate. Find Drake's gross pay for week?
Answer:First, determine the total number of hours worked by multiplying the hours per week by the number of weeks in a year (52). Next, divide this number from the annual salary.if an employee has a salary of $50,000 and works 40 hours per week, the hourly rate is $50,000/2,080 (40 x 52) = $24.04.
Step-by-step explanation:
Divide the gross pay by the wage hours worked. For example, if your records show that the employee was paid $4,000 for the total month, divide 4,000 by 172 to reach $23.26. This is an accurate representation of an hourly rate for that employee's monthly work.
Simplify the following equation:
Answer:
The answer is 4!
Find the distance between 4 (7,-7) and B (13,0). Write your answer as a radical and as a decimal rounded to the nearest tenth.
The distance between the two points is_____,
or about_____.
Answer:
Distance is [tex]\sqrt{85}[/tex] or 9.2195...
Hope this helps!
Step-by-step explanation:
d = [tex]\sqrt{(x_{2}-x_{1} )^{2} + (y_{2} - y_{1} )^{2} }[/tex]
d = [tex]\sqrt{(13 - 7 )^{2} + (0-(-7)^{2} }[/tex]
d = [tex]\sqrt{(6)^{2} +(7)^{2} }[/tex]
d = [tex]\sqrt{36 + 49}[/tex]
d = [tex]\sqrt{85}[/tex]
d = 9.2195444...
WORTH 75 POINTS Find an equation of the perpendicular bisector of the segment "AB" which has end points points A(1, –2.5) and B(5, 5.5).
Answer:
Step-by-step explanation:
−2(3n+ 8) = −6(n − 2)
Answer:
Step-by-step explanation:
0
Which of the following sets does the number 0.1453 belong to
Answer: The number 0.1453 belong to rational numbers and real numbers.
Step-by-step explanation:
The whole numbers are 0,1,2,3,..., so 0.1453¯¯¯¯¯ (repeat bar on 53)does not belong to the set of whole numbers. The integers are the whole numbers and their opposites, so 0.1453¯¯¯¯¯(repeat bar on 53) does not belong to the set of integers. Rational numbers include decimals that repeat or stop.The integers are the whole numbers and their opposites, so 0.1453¯¯¯¯¯(repeat bar on 53) does not belong to the set of integers.Rational numbers include decimals that repeat or stop. Because 0.1453¯¯¯¯¯(repeat bar on 53) is a repeating decimal number, it belongs to the set of rational numbers. Because 0.1453¯¯¯¯¯(repeat bar on 53) is a rational number, it does not belong to the set of irrational numbers.Because 0.1453¯¯¯¯¯(repeat bar on 53) is a rational number, it does not belong to the set of irrational numbers.All rational numbers are real numbers, so 0.1453¯¯¯¯¯ (repeat bar on 53) belongs to the set of real numbers. In summary, 0.1453¯¯¯¯¯(repeat bar on 53) belongs to the following sets: rational numbers and real numbers.Therefore,
The number 0.1453 belong to rational numbers and real numbers.
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Movie tickets at the local theater cost $9 for matinee showings and $13.50 for prime-time
showings. If the total number of tickets the theater sold on a particular day was 1,411 and $17,149.50
was collected, how many matinee and how many prime-time movie tickets were sold that day?
The number of many matinee and prime-time movie tickets were sold that day are
What is defined as the linear equation in two variables?A linear equation in two variables is one that is written in the form ax + by + c = 0, where a, b, and c are real numbers and also the coefficients of x and y, i.e. a and b, are not equal to zero.
If there is only one solution, the given lines are intersecting; if no solution is possible, the given equations have been of parallel lines. If there are an infinite number of solutions, it means that given equations form coincident lines.For the given question.
Let 'x' be the number of matinee showings.
Let 'y' be the number of prime-time showings.
Then. the total ticket sold are 1,411.
Thus, x + y = 1,411.
or, x = 1,411 - y
The cost of one matinee showings is $9.
The cost of one prime-time showings is $13.50.
Now, the total cost earned is $17,149.50.
So,
9x + 13.5y = 17,149.50
Put the value of the 'x' in the above equation.
9(1,411 - y) + 13.5y = 17,149.50
Simplifying;
12699 - 9y + 13.5y = 17,149.50
4.5y = 4450.5
y = 989.
Calculate x;
x = 1,411 - 989
x = 422
Therefore, the number of matinee and prime-time movie tickets were sold that day are 422 and 989.
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( 19+ 4 x ( 20 - 18 ) ÷9
Answer:
do u want me to graph or solve it
Step-by-step explanation:
Answer:
97
Step-by-step explanation:
I believe that is your answer
Ahmed has L.E. 15 He went to the market and spent 725 piastres. find a The ratio between the money he spent and the total sum he had b The ratio between the money left and the total sum he had. The ratio between the money left and the money he spent.
The ratio between the money he spent and the total sum he had , the ratio between the money left and the total sum he had, the ratio between the money left and the money he spent. are 29:60, 31:60 and 31:29 respectively.
Ahmed has L.E. 15 which when converted in piastres, it is 1500 piastres
He spent 725 piasters and the money left with Ahmed is 1500-725 which is 775 piastres
The ratio between the money spent and the total sum is 725:1500 which is simplified to 29: 60 by dividing both with anything which is common in both that is 25
The ratio between the money left and the total sum he had is 775:1500 which is simplified to 31:60 by dividing both with anything which is common in both that is 25
The ratio between the money left and money spent is 775:725 which is simplified to 31:29 by dividing both with anything which is common in both that is 25
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Use this image to classify each pair of lines.
Lines AB and CD are both perpendicular to the line EF, then AB |is parallel to CD. The lines CD and GH cannot be defined. The lines AB and GH cannot be defined. Lines IJ and CD are perpendicular
What are Parallel and perpendicular lines in terms of slope of lines?Two lines are said to be parallel if : m(1) = m(2).
Two lines are perpendicular to each other if : m(1) x m(2) = -1.
We have to classify the set of these lines as; Parallel, Perpendicular or Cannot Be Determined.
1. Lines AB and CD are both perpendicular to the line EF, then AB |is parallel to CD.
2. The lines CD and GH cannot be defined, because the diagram doesn't contain any information about angles at which these lines intersect.
3. The lines AB and GH cannot be defined, because the diagram doesn't contain any information about angles at which these lines intersect.
4. Lines IJ and CD are perpendicular; because they intersect each other at right angle.
Hence, the solutions to the table are shown above as options.
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LA Fitness charges $50 to be a member and $2 each
time you attend the gym. 24 Hour Fitness charges $4
each time you attend the gym and $30 to be a
member.
After how many visits to the gym will the cost be the
same?
10 visits
9 visits
6 visits
7 visits
8 visits
Answer:
10 visits
Step-by-step explanation:
Let's model the expressions:
LA Fitness = 50 + 2x24 Hour Fitness = 30 + 4xNow set them to equal each other to find x, the number of visits
50 + 2x = 30 + 4x Subtract 2x
50 = 30 + 2x Subtract 30
20 = 2x Divide by 2
10 = x
After 10 visits to the gym, the cost will be the same.
Part F
Complete the table to find the rule for the reflection, the coordinates of triangle ABC, and the coordinates of the reflected Image, triangle A'B'C'.
Original Coordinates New Coordinates
(.)
AT.)
B(,)
((.)
(x,y)
A(.)
B(.)
((.)
Answer:
A
Step-by-step explanation:
find negative 2 and 2/5 + 4/5
Answer:
[tex] - \frac{8}{5} [/tex]
Step-by-step explanation:
[tex] - 2 \frac{ \\ 2}{5} + \frac{4}{5} = - \frac{8}{5 \\ } [/tex]
Suppose we have a bottomless bag of 3 different kinds of balls: blue, green, and red. How many possibilities are there to choose 3 balls and arrange them in a line.
The number of possibilities that are there to choose 3 balls is 6.
How to illustrate the information?From the information, we have a bottomless bag of 3 different kinds of balls: blue, green, and red.
The number of possibilities that are there to choose 3 balls will be:
= 3!
= 3 × 2 × 1
= 6 possibilities.
Therefore, the number of possibilities that are there to choose 3 balls is 6.
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for the function f(x) = 4x+2, evaluate and simplify the difference quotient
The difference quotient of the function f(x) = 4x + 2 is 4.
What is a function?Functions were originally the idealization of how a varying quantity depends on another quantity.
The given function is,
f(x) = 4x + 2
For a given function f(x), we define the difference quotient as:
[tex]\frac{f(x+ h)-f(x)}{h}[/tex]
Thus, for the given function, difference quotient is given as,
[tex]\frac{f(x+ h)-f(x)}{h}[/tex] = [tex]\frac{4(x+h)+2-(4x+2)}{h}[/tex]
expanding the brackets we get,
[tex]\frac{f(x+ h)-f(x)}{h}[/tex] = [tex]\frac{4x+4h+2-4x-2}{h}[/tex]
Solving we get,
⇒ [tex]\frac{f(x+ h)-f(x)}{h}[/tex] = [tex]\frac{4h}{h}[/tex]
Thus,we get
⇒ [tex]\frac{f(x+ h)-f(x)}{h}[/tex] = 4
Thus, the difference quotient of the function f(x) = 4x + 2 is 4.
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a 12-foot piece of string is cut into two pieces so that the longer piece is 3 feet longer than twice the shorter piece. if the shorter piece is x feet long, find the lengths of both pieces.
Answer:
3 ft and 9 ft
Step-by-step explanation:
Question
To save for a down payment on a home, suppose you decide to invest in an annuity that pays 7.0% annual interest,
compounded annually. If you contribute $8,000 every year for 5 years, how much interest would you earn during the
5 years? Enter your answer, rounded to the nearest cent, without the dollar sign or comma ($21,678.1235 should be
entered as 21678.12.)
If you contribute $8,000 every year for 5 years, the interest would you would earn during the 5 years is:6005.91
What is future value of annuity?
The future value of the annuity means the future worth of 5 annual contributions of $8000 every year, based on the fact that the deposits would earn 7.0% interest rate every year, in short, the worth of the savings in 5 years can be determined using the future value of an ordinary annuity as shown below:
FV=PMT*(1+r)^N-1/r
FV=accumulate balance after 5 years=unknown
PMT=annual savings=$8,000
r=interest rate per year=7.0%
N=number of annual payments over 5 years=5
FV=$8000*(1+7.0%)^5-1/7.0%
FV=$46,005.91
Total deposits in 5 years=$8000*5=$40,000
Interest =FV-total deposits
interest=$46,005.91-$40,000
interest=$6,005.91
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A researcher wants to study the effects of sleep deprivation on motor skills. Nine people volunteer for the experiment: Amanda, Brian, Christine, David, Emily, Fred, George, Heather, and Ivan. Use the row of digits in the random number table below to select a simple random sample of three subjects (ignore zeros). The other six subjects will go into the control group. If the subjects are numbered 1 through 9 alphabetically, what are the numbers of the three subjects selected? List the subjects that will go in the treatment group.
The numbers of the three subjects selected are 6,3 and 9.
The subjects that will go in the treatment group Fred, Christine and Ivan
What is data?A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.
Given:
Nine people volunteer for the experiment: Amanda, Brian, Christine, David, Emily, Fred, George, Heather, and Ivan.
line/column (1) (2) (3) (4)
1 22663 42156 60419 98022
1 16901 87295 56738 04619
1 63949 92781 15658 58219
So, the numbers of the three subjects selected are 6,3 and 9.
and, Fred, Christine and Ivan are the three subjects.
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