Answer:
[tex]y = \frac{1}{10}x + 6[/tex]
500 cups cost $56
Step-by-step explanation:
Given
[tex]x = cups[/tex]
[tex]y = cost[/tex]
[tex](x_1,y_1) = (150,21)[/tex]
[tex](x_2,y_2) = (300,36)[/tex]
Solving (a): Linear Equation
First, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Substitute right values
[tex]m = \frac{36 - 21}{300- 150}[/tex]
[tex]m = \frac{15}{150}[/tex]
[tex]m = \frac{1}{10}[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
Where
[tex](x_1,y_1) = (150,21)[/tex]
[tex]m = \frac{1}{10}[/tex]
This gives:
[tex]y = \frac{1}{10}(x - 150) + 21[/tex]
Open bracket
[tex]y = \frac{1}{10}x - \frac{1}{10}*150 + 21[/tex]
[tex]y = \frac{1}{10}x - 15 + 21[/tex]
[tex]y = \frac{1}{10}x + 6[/tex]
Solving (b): Cups of coffees for $56
Substitute 56 for y in [tex]y = \frac{1}{10}x + 6[/tex]
[tex]56 = \frac{1}{10}x + 6[/tex]
Subtract 6 from both sides
[tex]-6+56 = \frac{1}{10}x + 6-6[/tex]
[tex]50 = \frac{1}{10}x[/tex]
Multiply both sides by 10
[tex]10 * 50 = \frac{1}{10}x * 10[/tex]
[tex]10 * 50 = x[/tex]
[tex]500 = x[/tex]
[tex]x = 500[/tex]
Hence: 500 cups cost $56
Can someone please work out both problems, I need help with my math hw due in 4 hours
Answer:
I hope this helps
Step-by-step explanation:
This is not the same exact question but it shows you the throw down.
A+B+C= 180
so if A=60 and B=70
The sin is= 8
so 60+70= 130
130+c=180
130-180= 50
C=50
What are the coordinates of point P?
Answer:
pic??...................
Y=20 when x=2 find y when x=5
HELP NOW PLEASSEE ! Find the mean absolute deviation
The sum of two numbers is -35. The difference of the two numbers is -29. What are the two numbers?
Answer:
22 on now
Step-by-step explanation:
11+11
Please help. Find the value of x. Round to
the nearest tenth.
Enter the number that belongs in
the green box
Answer:
[tex]x =13.7[/tex]
Step-by-step explanation:
Given
See attachment
Required
Find x
The relationship between x, 47 and [tex]17^{\circ}[/tex] is:
[tex]sin(17^{\circ}) = \frac{x}{47}[/tex]
i.e.
[tex]sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
Solving further:
[tex]sin(17^{\circ}) = \frac{x}{47}[/tex]
Make x the subject
[tex]x = 47 * sin(17^{\circ})[/tex]
[tex]x = 47 * 0.2924[/tex]
[tex]x =13.7428[/tex]
[tex]x =13.7[/tex] --- approximated
uppose you have purchased a filling machine for candy bags that is supposed to fill each bag with 16 oz of candy. Assume that the weights of filled bags are approximately normally distributed. A random sample of 10 bags yields the following data (in oz): 15.87, 16.02, 15.78, 15.83, 15.69, 15.81, 16.04, 15.81, 15.92, 16.10 On the basis of this data, can you conclude that the mean fill weight is actually less than 16 oz? Let LaTeX: \alpha=5\%α = 5 %. What would be the appropriate null and alternative hypothesis?
Answer:
Null, H0: μ ≥ 16
Alternative ; H1: μ < 16
reject H0
Step-by-step explanation:
Null, H0: μ ≥ 16
Alternative ; H1: μ < 16
To compute the test statistic :
We need the sample mean and sample standard deviation :
15.87, 16.02, 15.78, 15.83, 15.69, 15.81, 16.04, 15.81, 15.92, 16.10
Using calculator :
Sample mean, m = 15.887
Standard deviation = 0.13
Test statistic :
(m - μ) / s/sqrt(n)
(15.887 - 16) / 0.13/sqrt(10)
-0.113 / 0.0411096
= - 2.749
Tcritical at 95%
Tn-1, 0.025
T10,0.025 = 2.262
Since the test statistic value is less than the critical value, reject H0
álgebra II. Help please...
Answer:
See below
Step-by-step explanation:
The domain of [tex]f[/tex] is non-negative real numbers, and the domain of [tex]g[/tex] is real numbers.
[tex](f\circ g)(x) = 2\sqrt{2}|x|^5[/tex] (I skipped calculation details), so [tex](f\circ g)(9) = 2 \sqrt{2} \cdot 9^5[/tex].
(ANSWER ASAP) *Still Unanswered* Lines a & b represent a system of linear equations. Line a passes through the points (1,3) and (3,1). Line b passes through the point (-1,0). Which statement must be true? 1, 2, 3, or 4?
1) If line b passes through the point (-2,1) then there are infinitely many solutions to the system of equations because the slopes of the lines are the same.
2) If line b passes through the point (0,1) then there is more than one solution to the system of equations because the lines are perpendicular.
3) If line b passes through the point (1,3) then there are infinitely many solutions to the system of equations because line a also passes through the point (1,3)
4) If line b passes through the point (1,-2) then there is no solution to the system of equations because the lines are parallel.
Answer:
D: If line B passes through the point (1,-2), then there is no solution to the system of equations because the lines are parallel.
I think that is right...?
Step-by-step explanation:
Answer:
D: If line B passes through the point (1,-2), then there is no solution to the system of equations because the lines are parallel.
Step-by-step explanation:
Find the equation of this line
Answer:
y = x+6
Step-by-step explanation:
You can see that (0,6) and (1,7) are points on the line, and the y-intercept of the line is 6.
Use the coordinates of these points to find the slope of the line.
slope = (7-6)/(1-0) = 1
y-intercept = 6
Slope-intercept equation for line of slope 1 that has y-intercept of 6:
y = x+6
How many 1/6 pieces are there in 3/6
Answer:
there are 3 1/6 pieces
Step-by-step explanation:
since 3 x 1/6=3/6.
another explanation:
(3/6)/(1/6)=(3/6) x (6/1) since you multiply by inverse when dividing fractions. Then, (3/6) x (6/1) = 18/6, which equals 3.
Can someone help me thank you
Answer:
a. 1,289,400
b. 800,000
c. 7,000,000
(I hope this helps)
For what value of x is the following expression
sinx
undefined for Os x <211?
1+COS X
Answer:
ti 5
Step-by-step explanation:
its 5
pleaseeeeee helppppppppppp
Isabella's Flower Shop sells a variety of flowers. Roses cost $5 each. The shop gives a discount of $1 off per rose if more than 10 are bought. Daisies are sold in bunches of 6 flowers and cost $4 per bunch. • Nala bought 12 roses for her friend's going-away party. • Hector bought his mother 4 bunches of daisies for her birthday. • Petunias cost $2 more per bunch than daisies. Use the axioms to make three conclusions about the flowers Isabella sells.
Answer:
Isabella earned $48 from Nara. Isabella earned $16 from Hector. Isabella sells petunias for $6 per bunch (the number of petunias per bunch is unclear).
Step-by-step explanation:
Nala bought 12 roses which is greater than 10. So she received a $1 discount for each one. Nara spent 12*4=$48 dollars.
Hector bought 4 bunches of daisies meaning that Hector spent 4*4=$16.
Petunias cost $6 per bucnh.
i need help with this please
Answer:
a=40 degree( vertically opposite angle)
a+b+90=180( area of triangle)
or, 40+ b+ 90=180
or,b=180-130
b=50 degree
c+65=180 (st.line)
or, c= 180-65
c= 115 degree
A= 5 1/3
L=3 5/9
what is the width of the rectangle
Answer:
1 1/2
Step-by-step explanation:
5 1/3÷3 5/9=
16/3÷32/9=
16/3×9/32=
144/96=
1 1/2
What is true about the domain of the following two graphs
Answer:
the domain for both graphs is infinity
Step-by-step explanation:
both graphs are absolute value graphs, which means there is an infinite amount of possible x values in positive and negative directions.
edit: actually, if there are no arrows of the ends of the graphs, then what i just said is not true. a possible answer if that's the case may be both graphs have domains that include negatives
Find the sum of 4x2 + 3x + 2 and 7x2 + 7x + 3.
Answer:
27 + 10x
you combine like terms
A medium of exchange ?
A.) People are willing to hold onto it because they’re confident that it will keep its value over time.
B.) Money simplifies the exchange process because it’s a mean of indicating how much something costs.
C.) To use money to buy the goods and services you want.
Answer:
B
Step-by-step explanation:
Which solid has a greater volume? O A. Figure A 48 B. Figure B O C. they are equal A 2 O D. need more information
9514 1404 393
Answer:
B. Figure B
Step-by-step explanation:
The figure is difficult to read. We assume the height of the pyramid is 9, and the radius of the cylinder is 1.
The pyramid volume is ...
V = 1/3Bh
V = 1/3(4²)(9) = 48 . . . cubic units
__
The cylinder volume is ...
V = πr²h
V = π(1²)(48) = 48π . . . cubic units
The cylinder has π times as much volume as the pyramid. Figure B is larger.
_____
Additional comment
If the diameter (not the radius) of the cylinder is 1 unit, then its volume is 12π cubic units and the pyramid has more volume.
A baker made nine cupcakes each a different type four people want to share them equally how many cupcakes in each person get?
Divide 4 1/2 by the following unit fractions. 1/8 b. 1/4 c. 1/6
Answer:
a. 36
b. 18
c. 27
Which graph represents the cost of hamburgers at Bulky's Store? Explain
Answer:
Graph B
Step-by-step explanation:
It seems more realistic i dont think 10 hamburgers would be 3 dollars
Which of the following is a geometric sequence ?
Answer:
A, C and D is correct I know It
Laura creates a rectangular prism with wooden cubes. Each cube has an edge length of 3/4 inch. she uses a total of 240 cubes. the cubes are stacked 8 cubes high. What are the possible measurements for the length and width of the rectangular prism in inches.
Enter each measurement on a separate line.
Answer:
Step-by-step explanation:
Oo.24
What are the coordinates of the point on the directed line segment from (-10, -3)
to (-3, -3) that partitions the segment into a ratio of 3 to 4?
9514 1404 393
Answer:
(-7, -3)
Step-by-step explanation:
The point is the weighted sum of the end point coordinates. The weights are the reverse of the adjacent segment proportions.
P = (4(-10, -3) +3(-3, -3))/7 = (-40-9, -12-9)/7 = (-49, -21)/7
P = (-7, -3)
The point that partitions the segment in the desired fashion is (-7, -3).
_____
Alternate solution
The given segment can be recognized as a horizontal segment of length 7. Then the desired point is 3 units from the first end, so at (-10+3, -3) = (-7, -3).
find slopes , ill mark brainlist
Answer:
[tex]\frac{3}{2}[/tex] [tex]or[/tex] [tex]1\frac{1}{2}[/tex]
Step-by-step explanation:
We are given a graph and asked to find the slope.
So we can see two coordinate points, one on (0, 3) and (2, 0).
When trying to find slope, we use the method rise over run, which basically means y over x as a fraction, in which you then divide.
So count how many times it'll take for x to get to y, base it off the picture below
Since we see our numbers to be divided are 3 over 2, do the division and you get 1 1/2.
Would this be negative though? No, since the graph is in an increase, not a decrease.
The image of the point (6, 6) under a translation is (5,2). Find the coordinates of
the image of the point (0, 2) under the same translation.
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Answer:
(-1, -2)
Step-by-step explanation:
The difference between the coordinates of the image and the coordinates of the original is the same for both points.
X - (0, 2) = (5, 2) -(6, 6)
X = (5, 2) -(6, 6) +(0, 2) = (5-6+0, 2-6+2)
X = (-1, -2)
The image of the point after translation is (-1, -2).
What is the point-slope form of a line with slope 3/2 that contains the point
(-1, 2)?
O A. y+2 = (x-1)
O B. y-2 = (x-1)
O C. y-2 = }(x+1)
O D.y+2 = (x+1)
Answer:
y-2=3/2(x+1)
Step-by-step explanation:
y-y1=m(x-x1)
y-2=3/2(x-(-1))
y-2=3/2(x+1)