Answer:
Cups of 120oz sold = 17
Cups of 160oz sold = 25
Cups of 200oz sold = 13
Step-by-step explanation:
We know that:
a 120z cup of coffee costs $1.65
a 160z cup costs $1.85
a 200oz cup cost $1.95
Let's define the variables:
A = # of 120z cups that she sold
B = # of 160oz cups that she sold
C = # of 200oz cups that she sold.
We know that:
"Reba served 55 cups of coffee"
A + B + C = 55.
"emptying six 1440z brewers while"
A*120oz + B*160oz + C*200oz = 6*1440oz
"collecting a total of $99.65"
A*$1.65 + B*$1.85 + C*$1.95 = $99.65
Then we have a system of equations:
A + B + C = 55
A*120oz + B*160oz + C*200oz = 6*1440oz
A*$1.65 + B*$1.85 + C*$1.95 = $99.65
To solve this, the first step is to isolate one of the variables in one of the equations, let's isolate A in the first one:
A = 55 - B - C
Now we can replace that into the other two equations:
(55 - B - C)*120oz + B*160oz + C*200oz = 6*1440oz
(55 - B - C)*$1.65 + B*$1.85 + C*$1.95 = $99.65
Now we can rewrite those equations as:
B*40oz + C*80oz = 8640oz - 55*120oz = 2040oz
B*$0.20 + C*$0.30 = $99.65 - 55*$1.65 = $8.90
Now we have the system:
B*40oz + C*80oz = 2040oz
B*$0.20 + C*$0.30 = $8.90
Now we need to isolate another variable in one of the equations, let's isolate B in the first one:
B = 2040oz/40oz - C*80oz/40oz = 51 - 2*C
Now we can replace this in the other equation and get:
(51 - 2*C)*$0.20 + C*$0.30 = $8.90
Bow we can solve this for C.
$10.20 - C*$0.40 + C*$0.30 = $8.90
$10.20 - $8.90 = C*$0.10
$1.30 = C*$0.10
($1.30/$0.10) = C = 13
Now we can replace this in the equation:
B = 51 - 2*C = 51 - 2*13 = 25
And for A, we had:
A = 55 - B - C = 55 - 25 - 13 = 17
Then:
Cups of 120oz sold = 17
Cups of 160oz sold = 25
Cups of 200oz sold = 13
what is 1,360/16 reduced to smallest form? (please hurry this assignment is due soon)
Answer:
85/1
Step-by-step explanation:
because both numbers are divisible by 16
Answer:
85
Step-by-step explanation:
1360 and 16 both have 16 in common. So...
1,360 ÷ 16 = 85
16 ÷ 16 = 1
85/1 = 85
The answer is 85.
Puteti sa ma ajutati va rog? Vreau solutii cu explicatie elaborata, nu doar raspunsul. Multumesc.
What is the area of figure ABCD?
(image of figure down below)
104 square inches
120 square inches
136 square inches
168 square inches
Answer:
a
Step-by-step explanation:
A line includes the points (6, 9) and (3, 3). What is its equation in slope-intercept form?
Answer:
y=2x-3
Step-by-step explanation:
Type the correct answer in each box.
If cos -105º = -0.26 and csc -105º = -1.03, then cos 105º = ? and csc 105º = ?
Answer:
[tex]\cos(105^\circ)\approx-0.26\text{ and } \csc(105^\circ)\approx1.03[/tex]
Step-by-step explanation:
We are given that:
[tex]\cos(-105^\circ)\approx-0.26\text{ and } \csc(-105^\circ)\approx-1.03[/tex]
And we want to find:
[tex]\cos(105^\circ)\text{ and } \csc(105^\circ)[/tex]
Part A)
Remember that cosine (and secant) is an even function. By definition, this means that:
[tex]\cos(\theta^\circ)=\cos(-\theta^\circ)[/tex]
Therefore, since we know that cos(-105°) is about -0.26, it follows from the definition that:
[tex]\cos(-105^\circ)=\cos(105^\circ)\approx-0.26[/tex]
Part B)
Remember that cosecant (and sine) is an odd function. By definition, this means that:
[tex]\csc(-\theta^\circ)=-\csc(\theta^\circ)[/tex]
We know that csc(-105°) is about -1.03.
By the above definition, we can rewrite csc(105°) as csc(-(-105°)) or -csc(-105°).
Hence, it follows that:
[tex]\csc(105^\circ)=-\csc(-105^\circ)=-(-1.03)=1.03[/tex]
If P(A) is ⅗. Find P (not A)
Work Shown:
P(A) + P(not A) = 1
P(not A) = 1 - P(A)
P(not A) = 1 - 3/5
P(not A) = 5/5 - 3/5
P(not A) = (5-3)/5
P(not A) = 2/5
Step-by-step explanation:
P(A) + P(not A) = 1. Since P(A) = 3/5, we have:
P(not A) = 1 - P(A) = 1 - 3/5 = 2/5.
PLZZ HELP WITH ALGEBRA..
PART A
what is the equation of line 1?
Enter the correct answer in the box by replacing the values of m and b
PART B
what is the equation of line 2?
Enter the correct answer in the box by replacing the values of m and b
PART C
Use your answers from part A and B and the substitution method to solve the system shown in the graph.
What is the solution to the system?
Answer:
A: y= 2x -2
B: y= 1/3x +2
C: set the two = to each other and solve
2x-2= 1/3x +2
1 2/3x -2= 2
1 2/3x = 4
x= 12/5
y= 1/3 (12/5) +2
y= 14/5
answer to C is (12/5 , 14/5)
Answer:
answering so they get brainest
Step-by-step explanation:
1) When I double my number and add 3, I get 13. WRITE AN EQUATION that represents the hint.
2) When I double my number and add 1, I get my number plus 4. WRITE AN EQUATION that represents the hint.
3) When I subtract five from my number, I get my number multiplied by 0.5. WRITE AN EQUATION that represents the hint.
4) When I triple my number and add 4, I get 4 times my number minus 3. WRITE AN EQUATION that represents the hint.
***please answer quickly!!!
Factor completely 5b^2-11b+6
Answer:
(b - 1) (5b - 6)
Step-by-step explanation:
Who can solve this LAST RIDDLE???
Answer:
30 squares?
Step-by-step explanation:
Someone help me plsss with my math work. the teacher said its eliminating method but i dont understand it.
8a+3b=27
29-5b=1
if the scientific notation is 6.1x10^4 what would it look like in standard form? MARKING BRANLIEST!!!!
Answer:
61,000
Step-by-step explanation:
Move it 4 places to the right.
please help!!!! very confused
Answer:
I think it is B
Step-by-step explanation:
Hope this helped have an amazing day!
the perimeter of a isosceles triangle is 5(2+root2) find the area
Answer:
12.5
Step-by-step explanation:
If an isosceles right triangle as the length of the equal sides is a , then the length of the hypotenuse will be a2–√ (using pythogoras theorem.
Hence the perimeter will be a+a+a2–√=a(2+2–√)
Hence the equal sides of the triangle in question has the length of a=5
Area of the triangle = 12∗Height∗Base
=12∗5∗5=12.5
Work out
86
% of
570
kg
Answer:
The answer would be 490.2 kg because when you're finding the percent of a certain number, you can multiply the number with the percentage. When converting the percentage, you have to move the decimal point 2 times to the left.
Answer:
490.02kg
Step-by-step explanation:
In short-
86%= 86/100
"of" in maths is basically "multiply"
therefore,
86/100 * 570=x
0.86*570=x
x=490.02
A car dealership increase the price every swing her by 6% devotional price was $37,800. What is the new price?
write the new price in terms of the original price write your answer as a decimal
Answer:
$40,068 no decimals enclode in itwhat is the equation of the line
Answer:
x=3
Step-by-step explanation:
Answer:
X = 3
Step-by-step explanation:
I HOPE, PLS DON'T HATE ME :(
Write an equation in slope-intercept form of the line that is parallel to the line y = 3x - 1 and passes through ( - 2, - 8)
y = 3x - 2
Since it is parallel to y = 3x - 1, it has its slope, but also when x = -2, y = -8.
Create an equation... starting with:
y = 3x
When x = -2, y = -8:
y = 3x - 2
Check work by substituing x for -2:
y = 3(-2) - 2
y = -6 - 2
y = -8 ✔️
6. Complete: (ref.p.290)
a. 18 ft ..............d
b. 6.5c =.......................fl. oz
Answer:
a) What is d?
b) 52fl.oz
a.
Tell if the sequence is arithmetic, geometric or
neither: 5, 30, 180, 1080
Answer:
It is geometric
Step-by-step explanation:
Because it is increasing as 6 is being multiplied.
HELP ME 50 POINTS RN
Answer:
A
Step-by-step explanation:
Because it can only lift 2,200 pounds and that means it can lift 2,200 - 0 Pounds
On Monday Matty worked for 450 minuites in his office on Tuesday he worked half the numbers of minute he worked on Monday on wends day he worked only 1/2 day Wichita was 300 minute how many more minutes did he work on wensday then thursday
Answer:
The answer is 75 minutes.
Explanation :
Wednesday is 300 minutes & Tuesday is 225 minutes because 450 ÷ 2 = 225.
Wednesday is 300 minutes & Tuesday is 225 minutes because 450 ÷ 2 = 225. SO 300 - 225 = 75.
CAN YOU PLS GIVE ME BRAINLIST? THANK YOU! :))
Answer:
He worked for 75 more minutes on Wednesday then on Tuesday.
Step-by-step explanation:
So since we know that Matty worked for 450 minutes in his office on Monday, we can find out for how long he was working on Tuesday since we know that.......
Let "y" be the number of minutes Matty will work on Tuesday
Let "x" be the number of minutes Matty worked on Monday
[tex]y = \frac{x}{2}[/tex]
Substitute the values we have and get......
[tex]y = \frac{450}{2}[/tex]
[tex]y = 225[/tex]
So now we can find out how much more he worked on Wednesday then on Tuesday by doing the following......
Let "w" be the number of minutes Matty worked on Wednesday, then.......
The answer = [tex]w - y[/tex]
The answer = 300 - 225
The answer = 75
A recipe calls for 1 ⅔ cups of milk. If you wanted to make 4 batches of the recipe and had 10 cups of milk to use, how much milk would you have left over?
Answer:
You would have 3 1/3 cups of milk left over.
Step-by-step explanation:
1 2/3 * 4 = 6 2/3
10 - 6 2/3 = 3 1/3
Please help me ASAP!!!!
Answer:
The first one and the last two
Answer:
the first one and the 2 last ones!
Find the value of y picture *****
how do you solve 2 - 2n = 3n + 17
Final Answer: [tex]n = -3[/tex]
Steps/Reasons/Explanation:
Question: How do you solve [tex]2 - 2n = 3n + 17[/tex]?
Step 1: Subtract [tex]2[/tex] from both sides.
[tex]-2n = 3n + 17 - 2[/tex]
Step 2: Simplify [tex]3n + 17 - 2[/tex] to [tex]3n + 15[/tex].
[tex]-2n = 3n + 15[/tex]
Step 3: Subtract [tex]3n[/tex] from both sides.
[tex]-2n - 3n = 15[/tex]
Step 4: Simplify [tex]-2n - 3n[/tex] to [tex]-5n[/tex].
[tex]-5n = 15[/tex]
Step 5: Divide both sides by [tex]-5[/tex].
[tex]n = -\frac{15}{5}[/tex]
Step 6: Simplify [tex]-\frac{15}{5}[/tex] to [tex]-3[/tex].
[tex]n = -3[/tex]
~I hope I helped you :)~
Why do scientists use models?
A)
Models are unreliable.
B)
Models waste natural resources.
Models predict not just describe events.
Models are based on scientific laws and principals so they are more
reliable than the real thing.
D)
Martha drew a pair of intersecting non-perpendicular lines, I and m. She numbered one pair of vertical angles <1 and <2, and she labeled the second pair of vertical angles <3 and <4. Martha made the conjecture that <1 =~ <2 to validate this conjecture, which of the following would be appropriate reasoning?
A. M<1+ M<2 +M<3 + m<4 = 360
B. The sum of the measures of angles of a triangle is 180°
C. The measure of all right is 90°
D. Because <1 and <2 are each supplementary to <3, they are therefore congruent
Answer:
b 3eedeehheheehejwjjhhhejjererj
The formula C=5/9(F−32) can be used to convert temperature from Celsius (C) to Fahrenheit (F). The highest temperature ever recorded in the United States was 134 ∘F in Death Valley on July 10, 1913. What was the temperature that day in Celsius, rounded to the nearest degree?
Answer:
57 °C.
Step-by-step explanation:
The formula that is used to convert temperature from Celsius (C) to Fahrenheit (F) is given by :
[tex]C=\dfrac{5}{9}(F-32)[/tex] ...(1)
If T = 134° F, we need to convert the temperature in Celsius.
Put F = 134, in equation (1)
[tex]C=\dfrac{5}{9}(134-32)\\\\=\dfrac{5}{9}\times 102\\\\=56.66^{\circ} C\\\\\text{or}\\\\T=57^{\circ} C[/tex]
So, the temperature on that day is 57 °C.
What is the equation in slope-intercept form of the line that crosses the x-axis at 12 and is perpendicular to the line represented by y = 6/5x + 9 ?
Answer:
The equation of the line in slope-intercept form is;
y = 10 - 5/6·x
Step-by-step explanation:
The given equation of the line to which the required line is perpendicular is presented as follows;
y = 6/5·x + 9
A point on the desired line = (12, 0)
The relationship of the slope, m₁ of a line, perpendicular to the another line of slope m₂, is given as follows;
m₁ = -1/m₂
Therefore;
The slope of the desired line = -1/(The slope of the given line)
The slope of the desired line = -1/(6/5) = -5/6
The equation of the desired line in point and slope form is given as follows;
y - 0 = -5/6 × (x - 12)
Therefore, the equation of the line in slope-intercept form is;
y = -5/6·x + 10 = 10 - 5/6·x.