Question:
A lemonade seller calculates that it costs $50 to produce 52 glass of lemonade and $110 to produce 127 glass of lemonade. Assume the relationship between the cost and the number of glass of lemonade produced is linear. What is the most reasonable estimate for producing 193 glass of lemonade?
Answer:
[tex](a).\ y = 0.8x + 8.4[/tex]
[tex](b).\ Estimate = \$163[/tex]
Step-by-step explanation:
Represent number of lemonade with x and the cost with y.
So:
[tex](x_1,y_1) = (52,50)[/tex]
[tex](x_2,y_2) = (127,110)[/tex]
Solving (a): The linear relationship between them.
First, calculate slope (m)
m = ∆y ÷ ∆x
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{110 - 50}{127 - 52}[/tex]
[tex]m = \frac{60}{75}[/tex]
[tex]m = 0.8[/tex]
The equation is then calculated as:
[tex]y - y_1 = m(x - x_1)[/tex]
This gives:
[tex]y - 50 = 0.8(x - 52)[/tex]
[tex]y - 50 = 0.8x - 41.6[/tex]
Make y the subject
[tex]y = 0.8x - 41.6 + 50[/tex]
[tex]y = 0.8x + 8.4[/tex]
Solving (b): Estimate of 193 lemonade
In (a), we have:
[tex]y = 0.8x + 8.4[/tex]
Substitute 193 for x
[tex]y = 0.8 * 193 + 8.4[/tex]
[tex]y = 154.4 + 8.4[/tex]
[tex]y = 162.8[/tex]
[tex]Estimate = \$163[/tex]
5×10^5 living in Wyoming
Answer:
500000
Step-by-step explanation:
i need help on this math is it possibe it could ve done asap
Answer:
student A: the third step, they subtracted 16 squared from 24 squared, without figuring out what the squared values were.
student B: is correct
student C: step four, they didn't find the square root of 320, they kind of just took the square off of b and called it good.
Step-by-step explanation:
i hope this helps :)
Alison wants to distribute the carnations and roses equally among the 6 flower shops. Generate an equivalent expression from question 1, using Distributive Property where 6 is the common factor.
Help please! I can’t seem to solve this!!!
Answer: C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Ms. Perez has a beautiful cat named Tarzan. He weighs 12 pounds. How many ounces does Tarzan weigh?
Answer:
192
Step-by-step explanation:
16 ounces = 1 pound
16 x 12 = 192
Given: Q=7m+3n, R=11-2m, S=n+5, and T=-m-3n+8
simplify Q+S-T
Answer:
[tex]Q+S-T = (7m + 3n) + (n + 5) - ( - m - 3n + 8) \\ = (7 + 1)m + (3 + 1 + 3)n + (5 - 8) \\ = 8m + 7n - 3[/tex]
determine the missing number /38= 41\19
Answer:
x=82
Step-by-step explanation:
Step 1: Cross-multiply.
Step 2: Divide both sides by 19.
x/38=41/19
In ΔABC, c = 630 inches, ∠C=165° and ∠A=11°. Find the length of a, to the nearest inch.
Answer:
464
Step-by-step explanation:
Find other angle:
<B = 180 - 165 - 11 = 4
Then plug in (opposite sides go together):
[tex]\frac{a}{sin 11}[/tex] = [tex]\frac{630}{sin 165}[/tex]
[tex]a = \frac{630 sin 11}{sin 165} = 464.454 = 464[/tex]
The length of side a in ΔABC is 460 inches.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know the sine rule of ΔABC which is a/sinA = b/sinB = c/sinC.
Given, In ΔABC, c = 630 inches, ∠C=165° and ∠A=11°.
∴ a/sinA = c/sinC.
a/sin11° = c/sin165°.
a/0.19 = 630/0.26.
a = (630×0.19)/0.26.
a = 460.
learn more about sine rule triangles here :
https://brainly.com/question/22288720
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Solve using Y=Mx+b
M=-5 and (-3,-2)
Given:
M=-5 and (-3,-2).
To find:
The equation in the form [tex]y=mx+b[/tex].
Solution:
The slope intercept form of a line is
[tex]y=mx+b[/tex] ...(i)
where, m is slope and b is y-intercept.
We have m=-5. Putting m=-5 in (i), we get
[tex]y=-5x+b[/tex] ...(ii)
We have a point (-3,-2). Putting x=-3 and y=-2 in (ii), we get
[tex]-2=-5(-3)+b[/tex]
[tex]-2=15+b[/tex]
[tex]-2-15=b[/tex]
[tex]-17=b[/tex]
So, the value of b is -17.
Putting b=-17 in (ii), we get
[tex]y=-5x+(-17)[/tex]
[tex]y=-5x-17[/tex]
Therefore, the required equation is [tex]y=-5x-17[/tex].
ASAPPP!!!!!! Need help with this it’s timed pleaseeeee
Answer:
x=0.75
Step-by-step explanation:
Hope this helps!
A = {3, 5, 7, 9} and B = {1, 2, 4, 6, 7, 9}
Find the intersection: A Intersects withB.
{7, 9}
{1, 2, 3, 4, 5, 6, 7, 9}
{1, 3, 5}
{2, 4}
I need help with a portion web
Answer:
wow 13 point yay
Step-by-step explanation:
James is following this recipe to make flapjacks.
James uses 330 g of sugar
How many flapjacks is James making?
Recipe: Makes 15 flapjacks
110 g margarine
150 ml syrup
220 g oats
110 g sugar
60 g sultanas
Answer:
A student studies the graph shown below and determines that the reflection of point A over the x-axis will result in a point at (6, 3). State whether or not the student is correct, and explain how the correct answer can be found or confirmed.
Step-by-step explanation:
What is the equation of the graphed line written in
standard form?
O 2x + 3y =-6
O 2x + 3y = 6
O y=-2/3x -2
O y=2/3x-2
Answer:
the answer is A
Step-by-step explanation:
A triangular prism and two nets are shown:
A right triangular prism is shown with two nets. The triangular base of the prism has height 5 inches, base 12 inches, and hypotenuse 13 inches. The length of the prism is 15 inches. Net A has 3 rectangles having dimensions 5 by 15, 15 by 12, and 15 by 13, and two triangles having legs 5 inches and 12 inches. Net B has 3 rectangles having dimensions 5 by 13, 13 by 12, and 13 by 15, and two triangles having legs 5 inches and 12 inches.
Which is the correct net of the prism and what is the surface area of the prism?
Net B with 420 square inches
Net B with 500 square inches
Net A with 510 square inches
Net A with 450 square inches
Answer:
Net for the prism will have 3 rectangles with dimensions 5 by 15, 12 by 15 , and 13 by 15, and 2 triangles with legs 5 inches and 12 inches.
The correct net is net a.
Surface area = sum of areas of the three rectangles and sum of the two triangles.
SA = (5 x 15) + (12 x 15) + (13 x 15) + (5 x 12) = 75 + 180 + 195 + 60 = 510 square inches.
Step-by-step explanation:
Hope this helped
Which system of equations has the same solution as the system below?
4x + 4y = 16
3x + 2y = 3
Step-by-step explanation:
this is the correct answer
A business developer would like to purchase an abandoned corner lot in a small town and build a small convenience store with gasoline pumps on the site. Town leaders are concerned about potential traffic and noise impact to the adjacent neighborhood and send printed surveys to 500 homes in the affected area. Of the 123 surveys returned, 87% oppose the plan to develop the corner lot. How could the sampling design cause town leaders to overestimate or underestimate overall support of the development plan?
(A) The leaders may underestimate support because only 123 surveys were returned.
(B)The leaders may overestimate overall support because many residents who did not receive surveys will support the plan.
(C)The leaders may underestimate overall support because many residents who support the plan may be less likely to respond.
(D)The leaders may underestimate support because it can be assumed that all residents who did not return the surveys would support the plan.
Answer:
C
Step-by-step explanation:
Just took the test.
Answer:
C. The leaders may underestimate overall support because many residents who support the plan may be less likely to respond.
Step-by-step explanation:
Edge 2021
(help)Calculate the value for each determinant:
9514 1404 393
Answer:
9, -12-48, 017, 1Step-by-step explanation:
Your calculator can do this, but it's probably faster to do it in your head.
[tex]\left|\begin{array}{cc}a&b\\c&d\end{array}\right|=ad-cb[/tex]
__
[tex]\left|\begin{array}{cc}3&-1\\-3&4\end{array}\right|=(3)(4)-(-3)(-1)=9\\\\ \\\left|\begin{array}{cc}8&-1\\-4&-1\end{array}\right|=(8)(-1)-(-4)(-1)=-12[/tex]
And the next two rows are ...
(-12)(5) -(12)(-1) = -48 — (2)(-1) -(2)(-1) = 0
(0)(4) -(17)(-1) = 17 — (1)(1) -(0)(0) = 1
Lana bought a bamboo plant that was
9 1/5 feet high. When she got it home she cut 7 1/2 feet off of it. How tall wasthe plant after she cut it down?
Step-by-step explanation:
9 1/5=46/5 ; 7 1/2=15/2
common denominator is 10
46/5-15/2=( 92-75)/10= 17/10= 1 7/10 feet= 1.7 feet
What is x in 3x - 7 = 11
Answer:
x = 6
Step-by-step explanation:
3x - 7 = 11
3x = 11 + 7
3x = 18
x = 6
(4) Which of the following is a true statement about the Distance Formula?
It matters which point is denoted as (x1, y1) or (x2, y2) in the Distance Formula.
The Distance Formula is not a variation of the Pythagorean Theorem.
The Distance Formula finds the change in x and the change in y of the three points.
The (x1, y1) and (x2, y2) can be switched in the Distance Formula.
Answer:
The (x1, y1) and (x2, y2) can be switched in the Distance Formula.
Please answer this correctly without making mistakes
Answer:
3 tons, 1110 pounds
Step-by-step explanation:
A Ton weighs 2000 pounds, first convert the 4 tons.
You can solve this by multiplying 4 times 2000, and you will get 8000.
Now Add 8000 to 422, and your solution: 8422.
Now subtract 8422 by 1312, and you will get 7110.
Now convert this back to tons, start thinking, how many times can 2000 go into 7110.
That would be 3 my good sir.
Your Remainder: 1110 Pounds
Your Answer: 2 Tons, And 1110 Pounds.
Hope It Helps!
Please help me asap thank you!
Answer:
25a-20
Step-by-step explanation:
15a+10a-20=
25a-20
which inequality represents this situation?the number of students,s,who rides in a bus is less than 30
Answer:
b
Step-by-step explanation:
b
what is the product of 754.8 x 3.5
Answer:
2641.80
Step-by-step explanation:
hope that helps :))
Jon is drawing a quadrilateral.
The length of each side is 5.2cm to 1 decimal place.
Complete the error interval for the length of one side.
And Complete the error interval for the perimeter.
Please help with this one urgently.
Answer:
We know that the measure of each side is:
5.2cm to 1 decimal place.
Then we can assume that the error is 0.05cm (half of the second decimal place).
With this, the interval of the length of each side will be:
(5.2cm - 0.05cm) = 5.15cm (as the minimum)
(5.2cm + 0.05cm) = 5.25cm (as the maximum)
Then the interval is (5.15cm, 5.25cm)
2) We know that the perimeter of a square of sidelength L is:
P = 4*L
In this case, the minimum perimeter will be if we choose the smallest sidelength, this is:
P = 4*5.15cm = 20.6cm
And the maximum perimeter can be:
P = 4*5.25cm = 21cm
Then the interval is: (20.6cm, 21cm)
Here we can see that the error for the perimeter is 0.2cm, which is equal to 4 times the error of the length of a side (0.05cm) , as expected.
ON Saturday, 75 kids went to the beach, but only 48 kids went swimming. How many kids did not swim?
Answer:
27
Step-by-step explanation:
75-48=27
Answer:
27
Step-by-step explanation:
75-48=27
there ya go I hope this helps
C is 26 m2 and d is 36 m2
Answer:
D. 26
Step-by-step explanation:
A = base x height
A = 9 x 4
A = [tex]36m^{2}[/tex]
Answer:
[tex] 36\: m^2 [/tex]
Step-by-step explanation:
Area of parallelogram
= base * height
= 9*4
= 36 square m
PLEASE HELP ME WITH THSE QUESTIONS I WILL MARK BRAINLIEST IF ITS RIGHT..
Which polygons have at least one pair of parallel sides but are not parallelograms