Answer:
the price of the vanilla flavored coffee per pound is $8.50
the price of the espresso flavored coffee per pound is $9.00
Step-by-step explanation:
Let's give letters to the unknowns, so we can generate equations easily:
cost of espresso coffee beans per pound: "E"
cost of vanilla flavored coffee beans per pound : "V"
Now, the first statement:
18 pounds of E plus 17 pounds of V cost $306.50, can be written as:
18 E + 17 V = 306.5
The second statement:
19 pounds of E plus 15 pounds of V cost $298.50, can be written as:
19 E + 15 V = 298.5
Now, in order to solve this system of linear equations we can use substitution for example:
E = (306.5 -17 V)/18
and use this expression to substitute for E in the second equation:
19 (306.5 - 17 V)/ 18 + 15 V = 298.5
multiplying by 18 on both sides to eliminate denominators, we get:
19 (306.5 - 17 V) + 270 V = 5373
5823.5 - 323 V +270 V = 5373
5823.5 - 53 V = 5373
5823.5 - 5373 = 53 V
450.5 = 53 V
V = 8.5
Therefore the price of the vanilla flavored coffee per pound is $8.50
Now we use this found value in the substitution equation:
E = (306.5 -17 V)/18
E = (306.5 - 17 (8.5))/18
E = 9
Therefore the price of the espresso flavored coffee per pound is $9.00
|-3+(-1)|= simply the expression
Answer:
4
Step-by-step explanation:
First, solve in the brackets,
-3+(-1)
-3-1
-4
Since it is absolute value, take the minus sign away,
therefore the answer is 4
Write an equation for the nth term of the arithmetic sequence. Then find a50.
1/3 , 1/2 , 2/3 , 5/6
Step-by-step explanation:
Since the sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
From the question
a = 1/3
d = 1/2 - 1/3 = 1/6 or 2/3 - 1/2 = 1/6
Substitute the values into the above formula
That's
[tex]A(n) = \frac{1}{3} + (n - 1) \frac{1}{6} \\ = \frac{1}{ 3} - \frac{1}{6} + \frac{1}{6} n [/tex]So the nth term of the sequence is
[tex]A(n) = \frac{1}{6} + \frac{1}{6}n[/tex]For a50 since we are finding the 50th term
n = 50
So we have
[tex]A(50) = \frac{1}{6} + \frac{1}{6} (50) \\ = \frac{1}{6} + \frac{25}{3} [/tex]We have the final answer as
[tex]A(50) = \frac{17}{2} [/tex]Hope this helps you
simplifiy the expression -|-5.(-7)|
Answer:
-5|-7|
Step-by-step explanation:
[tex]-\left|-5\left(-7\right)\right|\\\\\mathbf{missing\:stepId}=\\\\Refine\:Abs\:Checked\:3Eq,\:\\\\|ax|=a|x|,\:a\ge 0,\:-\left|-7\right|\\=-5\left|-7\right|[/tex]
Answer:
[tex]\Huge \boxed{\mathrm{-35}}[/tex]
Step-by-step explanation:
[tex]\Rightarrow -|-5* (-7)|[/tex]
Multiplying the terms in the absolute value.
[tex]\Rightarrow -|35|[/tex]
The absolute value of a number is the distance between that number and zero.
The absolute value of 35 is 35.
[tex]\Rightarrow -35[/tex]
Plz help ASAP WILL MARK BRAINLIEST!!
Answer:
B
Step-by-step explanation:
It is B because every number, x, you plug in 5x-3, it is y.
Answer:
B
Step-by-step explanation:
If we plug in x = 5 because every chart has x = 5 as a different answer into the equation you will find it equals 22 and only B has 22 as the answer
Approximate the value of 119√
Answer:
√119 = 10.908712114636
The perimeter of a patio is 64 feet. The width of the patio is 12 feet and the length of the patio is ( ) x + 6 feet. What is the length of the patio?
Find the midpoint between the pair of points.
(7,-2) and (-4, 2)
(1.5, 0)
(12,0)
(0, 1.5)
137
Answer:
(1.5,0)
Step-by-step explanation:
midpoint coordinate (x+x1/2 , y+y1/2)
x+x1=7-4/2=3/2=1.5
y+y1/2 = 2-2/2=0
PLEASE HELP!!
When was production the lowest???
Answer:
B. 1995
Step-by-step explanation:
As per the graph the lowest production was in 1995, the production figure was around 203 billion dollars
So the answer choice is B. 1995
WILL GIVE BRAINLIEST
What did they do incorrectly
40 + 70 + ? = 360
110 + ? = 360
-110 -110
? = 250
In the equation 40+70+?=360, they are trying to find the last angle.
First they would add 40 and 70, which is 110.
So 110+?=360
360-110=?
360-110=250
Well this is wrong, because every angle in a triangle adds up to 180 degrees.
If you are adding up the angles in a quadrilateral, only then it adds up to 360 degrees.
So they did everything right, but they didn't use the right "total degrees"
This is what it was supposed to look like.
40+70+?=180
110+?=180
180-110=?
180-110=70
?=70
♡ Hope this helped! ♡
♡ Also thank you so much for 31 points. ♡
✿ Brainiest is appreciated! ✿
❀ 0ranges ❀
A new firehouse is being built equidistant from three other fire stations. Positioned on a grid, the current fire stations would be located at (3, 7), (−1, −1), and (−4, 8). What are the coordinates of the location where the new firehouse should be built? (PLEASE INCLUDE AN EXPLANATION)
Answer:
[tex](-\frac{3}{22},\frac{185}{22} )[/tex]
Step-by-step explanation:
Step 1: Find out what the question is asking
Because we want the point to be equidistant to all the vertices of the triangle formed we want the circumcenter of the triangle as it is equidistant from all of the vertices, a circumcenter is made from the perpendicular bisectors of the triangle
Step 2: Give the vertices variables
A = (-4,8)
B = (-1,-1)
C = (3,7)
Step 2: Find the Circumcenter
Find the mid point of side AB
MAB
[tex]=(\frac{-4+(-1)}{2} ,\frac{8+(-1)}{2} )\\=(\frac{3}{2},\frac{7}{2} )[/tex]
Find the slope of side AB
mAB
[tex]=\frac{y2-y1}{x2-x1} \\=\frac{8-(-1)}{-4-(-1)} \\=\frac{9}{-3}\\ =-3[/tex]
Solve for 'b'
[tex](\frac{7}{2})=(-3)(\frac{3}{2} ) +b\\\frac{7}{2}=-\frac{9}{2}+b\\\frac{7}{2}+ \frac{9}{2}=b\\b = 8[/tex]
Therefore the equation for line AB is:
y = -3x + 8
Find the midpoint of side AC
MAC
[tex]=(\frac{-4+(3)}{2} ,\frac{8+(7)}{2} )\\=(-\frac{1}{2},\frac{15}{2} )[/tex]
Find slope of AC
mAC
[tex]=\frac{y2-y1}{x2-x1} \\=\frac{8-7}{-4-3} \\=\frac{1}{-7}\\ =-\frac{1}{7}[/tex]
Solve for 'b'
[tex]y=mx+b\\\frac{15}{2} =-\frac{1}{7} (-\frac{1}{2} )+b\\\frac{15}{2} =-\frac{1}{14} +b\\\frac{1}{14}+\frac{15}{2} = b\\b=\frac{53}{7}[/tex]
Therefore the equation for line AC is:
y = [tex]-\frac{1}{7}[/tex]x+[tex]\frac{53}{7}[/tex]
Step 3: Find the P.O.I of the 2 lines
Set both of the equation equal to each other
[tex]3x + 8=-\frac{1}{7} x+\frac{53}{7} \\3x +\frac{1}{7} x=\frac{53}{7}-8\\\frac{22}{7} x=-\frac{3}{7} \\x=-\frac{3}{22}[/tex]
We now know 'x' and we substitute x into any equation to find 'y'
[tex]y = -3(-\frac{3}{22} ) + 8\\y = \frac{9}{22} + 8\\y = \frac{185}{22}[/tex]
Therefore the new firehouse should be built at [tex](-\frac{3}{22},\frac{185}{22} )[/tex]
Subm
What is the point-slope form of the equation for the line with a slope of -2 that passes through the point (4, -6)?
Answer:
y + 6 = - 2(x - 4)
Step-by-step explanation:
The equation of a line in point- slope form is
y + b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 2 and (a, b) = (4, - 6) , thus
y - (- 6) = - 2(x - 4) , that is
y + 6 = - 2(x - 4)
6 bags cost $16.50 How much is 3 bags
Answer:
3 bags cost $8.25
Step-by-step explanation:
Proportions:
6 bags ⇔ $16.50
3 bags ⇔ $B
B = 16.5*3/6
B = $8.25
Answer:
Step-by-step explanation:
8.25
how to solve sets in mathematics
Answer:
Sets, in mathematics, are an organized collection of objects and can be represented in set-builder form or roster form. Usually, sets are represented in curly braces {},
For example, A = {1,2,3,4} is a set.
Help ASAP....anyone please
Answer:
a(n)= 4*n+1
a(n+1)=5+4*n
Step-by-step explanation:
The sequence 5, 9, 13, 17 is the ariphmetic progression where a(1)=5 is the first member of the progression and the diference is d=9-5=4 (the distance between the neighboring members)
For ariphmetic progression is known that n- term is equal to
a(n)=a(1)+d*(n-1)
So for our case
a(n)=5+4(n-1)=5+4n-4=4n+1
a(n+1)= 5+4(n+1-1)= 5+4n
If a silver alloy that costs $6.50 an ounce
is going to be mixed with 30 ounces of a
silver alloy that costs $9 an ounce to
make a mixture that costs $8 an ounce,
how many ounces of the $6.50 an ounce
alloy must be used?
Answer:
20 is the correct answer
Step-by-step explanation:
you're welcome :)
Araceli recorded the height (in centimeters) of a pea plant over a 10-day
period for a science experiment. Which equation is the best model of the
data?
30 pints please help
Answer:B. y=0.5x+0.3
Step-by-step explanation:a. p. e. x.
The slope of the points is closer to 0.5 thus y = 0.5x + 1.2 will be the best approximation thus option (B) is correct.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
In another word, a linear function is a function that varies linearly with respect to the changing variable.
As per the given points,
Let's take two-point (1,1) and (2,1.5)
The slope associated with the above points will be as,
(1.5 - 1)/(2 - 1) = 0.5
Thus, the line will be y = 0.5x + 0.3
Hence "The slope of the points is closer to 0.5 thus y = 0.5x + 1.2 will be the best approximation".
For more about the linear function,
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Need help on 22 on what to do
Answer:
4Step-by-step explanation:
[tex]f(x)=-x-11\\\\\frac{f(9)}{f(-6)}\\\\ f(9)= -9-11\\- 20\\\\f(-6) = -(-6)-11\\= 6-11 = -5\\\\\\\frac{f(9)}{f(-6)}\\ \\= \frac{-20}{-5}\\ \\= 4[/tex]
Answer:
4
Step-by-step explanation:
This means that where ever you see x in the function; f(x)= -x-11, you replace it with 9 for the numerator and -6 for the Denominator
=-(9)-11/-(-6)-11
=-9-11÷6-11
=-20÷-5
=4
The volume of a cube is 27 cubic meters. What is the length of one edge of the
cube?
Answer:
3 meters
Step-by-step explanation:
Step 1: State what is known
Volume of cube is 27 cubic meters
Important formula: Volume of cube = [tex]l^{3}[/tex]
Step 2: Input value into formula and solve for "l"
[tex]27=t^{3} \\\sqrt[3]27}=\sqrt[3]{t^{3} } \\3 = t[/tex]
Therefore the length of 1 edge of the cube is meters
Length of each edge of cube is 3 metres.
What is the volume of cube?
The volume of a cube defines the number of cubic units, occupied by the cube completely. The volume of cube is found by multiplying the value of the edge with itself three times that is a³.
It is given that volume of cube is 27 cubic metres.
a³ = 27
a = ∛27
a = 3
Hence, length of each side of cube is 3 metres.
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PLEASE HELP SUPER URGENT WILLING TO GIVE EXTRA POINTS !!!!! 4-8
Francesca graphs the function f(x) = 2x - 3, George graphs the function g(x) = 4x2 – 2 – 1, and Harold graphs the function h(x) = 9(f(x)). Which function does Harold graph?
A. Oh(x) = 1622 - 50x + 38
B. Oh(x) = 8x3 - 142++3
c. Oh(x) = 8r2 - 2x - 6
D. Oh(x) = 4x2 - 12x +9
Answer: A. [tex]h(x)=16x^2-50x+38[/tex]
Step-by-step explanation:
Given: Francesca graphs the function [tex]f(x) =2x - 3[/tex], George graphs the function [tex]g(x) = 4x^2 -x - 1[/tex].
Harold graphs the function [tex]h(x) = g(f(x))[/tex].
i.e. [tex]h(x)=g(2x - 3)[/tex] [put value of f(x)]
[tex]=4(2x-3)^2-(2x-3)-1\\\\= 4((2x)^2-2(2x)(3)+3^2)-2x+3-1\ \ [(a-b)^2=a^2-2ab+b^2]\\\\= 4(4x^2-12x+9)-2x+2\\\\=16x^2-48x+36-2x+2\\\\=16x^2-50x+38[/tex]
So, Harold graph [tex]h(x)=16x^2-50x+38[/tex]
Hence, the correct option is A. [tex]h(x)=16x^2-50x+38[/tex]
2 (01.05)
Write the equation of the line that passes through (3,-2) and has a slope of 4 in point-slope form. (2 poin
Answer:
y +2 = 4(x -3)
Step-by-step explanation:
Point-slope form of the equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
For m = 4 and (h, k) = (3, -2), the equation is ...
y +2 = 4(x -3) . . . . . matches the first choice
What is the abscissa of origin?
Answer:
abscissa of origin is 0.
Step-by-step explanation:
The abscissa of a point is the signed measure of its projection on the primary axis, whose absolute value is the distance between the projection and the origin of the axis, and whose sign is given by the location on the projection relative to the origin (before negative; after: positive).
the radius of a sphere is 7 meters what is the circle's area
★ Given :
[tex]\begin{lgathered}\bullet\:\:\textsf{Radius of circle = \textbf{7 meter}}\end{lgathered}[/tex]
[tex]\rule{130}1[/tex]
★ Digram :
[tex]\setlength{\unitlength}{1mm}\begin{picture}(50,55)\thicklines\qbezier(25.000,10.000)(33.284,10.000)(39.142,15.858)\qbezier(39.142,15.858)(45.000,21.716)(45.000,30.000)\qbezier(45.000,30.000)(45.000,38.284)(39.142,44.142)\qbezier(39.142,44.142)(33.284,50.000)(25.000,50.000)\qbezier(25.000,50.000)(16.716,50.000)(10.858,44.142)\qbezier(10.858,44.142)( 5.000,38.284)( 5.000,30.000)\qbezier( 5.000,30.000)( 5.000,21.716)(10.858,15.858)\qbezier(10.858,15.858)(16.716,10.000)(25.000,10.000)\put(25,30){\line(5,0){20}}\put(25,30){\circle*{1}}\put(29,26){\sf\large{7 m}}\end{picture}[/tex]
[tex]\rule{130}1[/tex]
★ Solution :
☯ [tex]\underline{\boldsymbol{According\: to \:the\: Question\:now :}}[/tex]
[tex]:\implies\sf Area\:of\:circle = \pi r^2 \\\\\\:\implies\sf Area\:of\:circle = \dfrac{22}{\cancel{7}} \times \cancel{7} \times 7\\\\\\:\implies\sf Area\:of\:circle = 22 \times 7\\\\\\:\implies\sf Area\:of\:circle = 154 m^{2}[/tex]
⠀
[tex]\therefore\:\underline{\textsf{Area of circle is \textbf{154}} \:\sf{m^2}}.[/tex]
[tex]\rule{170}{2}[/tex]
Given the function f(x) = -5x^2 + 2x + 9 find f(1) and f(2)
Answer:
i hope it will work
Step-by-step explanation:
f(x) = -5 x^2 + 2 x + 9
f(1)=-5(1)^2 +2(1) +9 = 6
similarly
f(2)=-5(2)^2 +2(2) +9 = -7
if its help-full then hit the stars and brain-list it
thanks
Elena has 2 fewer hats than fran. together the have 14 hats.
which equation represents this situation
Answer:
Elena has 6 and fran has 8
Step-by-step explanation:
Dalila is mixing paste. For every 1 1/3 cups of water, she uses 2 1/2 cups of flour. How much flour does Dalila need for each cup of water? Show your work.
Answer:
Flour need for 1 cup of water = [tex]1\frac{7}{8}[/tex] cups
Step-by-step explanation:
Given:
Cups of water = [tex]1\frac{1}{3}[/tex] = 4/3
Cups of flour = [tex]2\frac{1}{2}[/tex] = 5/2
Find:
Flour need for 1 cup of water
Computation:
Flour need for 1 cup of water = Cups of flour / Cups of water
Flour need for 1 cup of water = (5/2) / (4/3)
Flour need for 1 cup of water = 15/8
Flour need for 1 cup of water = [tex]1\frac{7}{8}[/tex]
what is reflex?
what is reflex?
Answer:
An action performed without any concious thoughts
The simple definition of reflex is the sudden movement that occurs when it responds to a stimulus in the body. This movement is without any conscious thought beforehand.
For example, you are facing one way and a ball gets thrown toward you from behind. If you have fast enough reflexes, you will sense the ball coming from behind and turn around to catch it.
Best of Luck!
Calculate 12% simple interest to be paid on a loan of $2000 repaid in 1 1/2 year?
Answer:
1320
Step-by-step explanation:
as
SI=(P×T×R)/100
SI=(2000×12×11/2)/100
SI=132000/100
:.SI=1320
Answer:1320
Step-by-step explanation:2000×12×11/2/100
Two divide by twelve=6
2000÷100=20
20×6×11=1320
Joe's boat rental rents paddle boats for $8.00 and hour and the paddles rent for $5.00 for the day. If David has $45, what is the least amount of hours he could rent the paddle boat?
Answer:
Least: 1 hour
Maximum: 5 hours
Step-by-step explanation:
Given
Boat hourly rate = $8.00
Paddle daily rate = $5.00
Required
Determine the least hour, David could use the boat
First, we need to represent this as an inequality.
Since David has $45, then
[tex]\$8.00 * x + \$5.00 \leq \$45.00[/tex]
Where x represents the number of hours
Collect Like Terms
[tex]\$8.00 * x \leq \$45.00 - \$5.00[/tex]
[tex]\$8.00 * x \leq \$40.00[/tex]
Divide both sides by $8.00
[tex]x \leq \frac{\$40.00}{\$8.00}[/tex]
[tex]x \leq 5[/tex]
Hence, the least number of hour is 1 hour while the maximum is 5 hours
if the volume of a cube is 27 metre cube find one of side