Answer:
1,250 drinks
Step-by-step explanation:
Woody spends $0.05 to make a glass of lemonade and makes $0.25 when he sells one, so his net gain is $0.20. 250 / .20 is 1,250.
Final answer:
Woody needs to sell 1,250 glasses of lemonade to earn the $250 required to buy a bicycle. Calculated by dividing the goal ($250) by the profit per glass ($0.20), which is the difference between the selling price ($0.25) and the cost price ($0.05).
Explanation:
Woody is operating a small business of selling lemonade and seeks to achieve a certain amount of total revenues to purchase a bicycle. To solve this, one must determine the profit per glass of lemonade sold, which is the selling price minus the cost to make it. Since Woody sells a glass for $0.25 and it costs $0.05 to make, the profit per glass is $0.25 - $0.05 = $0.20.
To calculate the total number of glasses Woody needs to sell to earn $250, divide his goal by the profit per glass. Thus:
Total number of glasses = ($250 / $0.20 per glass) = 1250 glasses
Hence, Woody must sell 1,250 glasses of lemonade to earn enough money to buy the bicycle.
Which points are on the graph of g(x)=(1/5)x
Select EACH CORRECT ANSWER
If a point is on the graph of the exponential equation then it should be true when you solve.
g(x) = (1/5)^x
y = (1/5)^x
1/125 = (1/5)^3
cbrt(1/125) = 1/5
.2 = 1/5
.2 = .2 YES
5 = (1/5)^-1
5 = 5 YES
1/25 = (1/5)^-2
-2root(1/25) = 1/5
5 = 1/5 NO
0 = (1/5)^1
0 = .2 NO
The correct answers are A and B.
This is about understanding input and output of a graph.
Correct Points are;
Option B; (-1, 5) and Option A; (3, 1/125)
The graph function is given as; g(x) = (1/5)ˣ
x is the input value which is on the x-axis
g(x) is the output value which is on the y-axis
This will follow a coordinate writing system of (x, y)
Option A; (3, 1/125) means that when x = 3, y = 1/125Let us put 3 for x in the function;
y = (1/5)³
y = 1/125
y = 1/125 corresponds to y = 1/125 and so it is correct.
Option B; (-1, 5) means that when x = -1, y = 5
Let us put -1 for x in the function;
y = (1/5)⁻¹
y = 5
y = 5 corresponds to y = 5 and so it is correct.
Option C; (-2, 1/25) means that when x = -2, y = 1/25Let us put 3 for x in the function;
y = (1/5)⁻²
y = 25
y = 1/25 doesn't correspond to y = 25 and so it is not correct.
Option D; (1, 0) means that when x = 1, y = 0Let us put 1 for x in the function;
y = (1/5)¹
y = 1/5
y = 0 doesn't correspond to y = 1/5 and so it is not correct.
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On the model scale drawing, approximately how far should each edge of the bed be from its own corner of the wall? Use complete sentences to explain your reasoning.
Solution:
Considering room to be in the shape of Cuboid as well as the Bed to be in the shape of Cuboid.
Dimensions of Room
Let Length of cuboid which is in the shape of room = L
Breadth of cuboid which is in the shape of room = B
Height of cuboid which is in the shape of room = H
Considering, L>B>H
Dimension of Bed
Length=[tex]\frac{L}{6}[/tex] units
Breadth=[tex]\frac{B}{4}[/tex] units
Height=[tex]\frac{H}{6}[/tex] units
Taking one corner at origin i.e (0,0,0)
You can keep your bed at any place inside the room, but you want your bed to be at that place inside the room where the window is located so that proper ventilation and sunlight can enter your room.
Taking bed to be in the middle of room near the window and considering it's upper face
Distance from one corner i.e from length= B- [tex]\frac{B}{4}[/tex]=[tex]\frac{3B}{4}[/tex] Units
Distance from other corner= 0 Units
Distance from Breadth of one side of wall= [tex]\frac{L}{3}[/tex] units
Distance from one corner i.e from Breadth =L - [tex]\frac{L}{3}[/tex]-[tex]\frac{L}{6}[/tex]= [tex]\frac{L}{2}[/tex]
Distance from floor i.e surface=[tex]\frac{H}{6}[/tex] units
Distance from Ceiling= H -[tex]\frac{H}{6}[/tex] = [tex]\frac{5 H}{6}[/tex] units
To find the distance each bed edge should be from the corner in a scale drawing, determine the scale used (such as 1 inch = 6 feet), convert actual bed dimensions using the scale, and ensure measurements on the drawing are precise and noted with the correct line types.
To determine how far each edge of the bed should be from its own corner of the wall in a scale drawing, first establish the scale being used for the model. For example, if the scale is 1 inch = 6 feet, convert the actual dimensions of the bed into the scale size by using ratios that compare the scale distance to the actual distance. If the actual bed is 6 feet long, then the length on the scale model would be 1 inch. When recording measurements, both the actual size and the scale size should be clearly marked to prevent confusion. It is important to use correct line types and to make all the drawings to exact measurements within the constraints of the paper size.
For consistent and accurate representation, the edges of the bed should be measured from the corner of the walls based on the determined scale. This involves calculating the distance of the bed from the wall in actual size, then converting that distance to the scale model size. Pay attention to significant figures and the choice of units (inches, feet, centimeters, meters) to maintain precision in your scale drawing.
SOS HURRY
The vertices of a square are (-5,-4) (-2,-8) (1,-4) (-2,0) What is the area of the square?
First, by using the distance formula for just one side, we can find the length of all sides (a square has 4 equal sides.) Then, we can apply the area of a square formula, which is a^2.
Distance formula:
[tex]\sqrt{(x.2 - x.1)^{2} + (y.2 - y.1)^{2}}[/tex]
√((-2 + 5)^2 + (-8 + 4)^2)
√((3)^2 + (4)^2)
√9 + 16
√25
5
The side lengths of the square are each equal to 5, and by applying the formula for area, we can find the area of the square.
5^2 = 25
The area is 25.write a statement that indicates that the triangles to each pair are congruent
Answer:
Triangles are congruent because all the corresponding sides and interior angles are congruent.
Step-by-step explanation:
In ΔWXY and ΔBCD
Given Sides are congruent:
[tex]WX \cong BC[/tex]
[tex]XY \cong CD[/tex]
[tex]YW \cong DB[/tex]
Also,
Angles are congruent i,e:
[tex]\angle W \cong \angle B[/tex]
[tex]\angle X \cong \angle C[/tex]
[tex]\angle Y \cong \angle D[/tex]
By congruence statement: If two sides in one triangle are congruent to two sides of a second triangle, and also if the included angles are congruent, then those triangles are congruent.
[tex]\triangle WXY \cong \triangle CBD[/tex]
Therefore, we can say the two triangles WXY and BCD are congruent because every corresponding side are of equal length and every corresponding angle has the same measure.
The given triangles WYX and BDC are congruent as all the sides as well as the angles are equal.
From the given figures,
[tex]WY=BD\\WX=BC\\YX=DC[/tex]
Also,
[tex]\angle{W}=\angle{B}\\\angle{Y}=\angle{D}\\\angle{X}=\angle{C}[/tex]
Hence, the triangles WYX and BDC are congruent to each other.
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John is a software salesman. Let y
represent his total pay (in dollars). Let x represent the number of copies of Math is great he sells. Suppose that x and y are related by the equation
What is the change in John's total pay for each copy of Math is great he sells?
What is Johns total pay if he doesn't sell any copies of Math is great?
Answer:
see below please give brainliest
Step-by-step explanation:
X times cost = Y
If he doesn't sell any books than he doesn't make any money. Each time he sells a book his pay will go up the cost of the book.
The weight of wrestlers on the team varies by 74 lbs is that mean,median,range or mode
Hmmm, I think it sound more like the average. So mean. I'm not 100% sure but it isn't the median or the mode.
Which table represents a nonlinear function?
What is the first step in solving a quadratic equation with the form given below (ax+b)^2=c
Answer:
rearrange all of the terms
Step-by-step explanation:
The first step is to arrange the TERMS correcty
3x - 4y = 16 determine the missing coordinate in the ordered pair (0, ?) so that will satisfy the equation
Answer:
(0, - 4)
Step-by-step explanation:
What you are looking for is the y value when x = 0. So make x = 0 in the original equation.
3x - 4y = 16
3(0) - 4y = 16
- 4y = 16 Divide by -4 on both sides.
-4y/- 4 = 16/-4 Do the division.
y = - 4
A company sells name plates for doors. An employee takes a random sample of name plates, measures the length of each name (in inches), and counts the number of letters in each name. She generates the scatterplot and trend line equation shown below.
A customer would like the company to build him a name plate that is 22 inches long. What is the best estimate of the number of letters the company can have on the name plate?
A. 9
B. 10
C. 12
D. 39
Answer:
C. 12
Step-by-step explanation:
We have been given a scatter plot and trend line equation for the length of name plates (y) in inches for number of letters (x).
The given equation is: [tex]y=1.75x+0.5[/tex]
To find number of letters in a number plate that is 22 inches long we will substitute y=22 in our given equation.
[tex]22=1.75x+0.5[/tex]
[tex]22-0.5=1.75x+0.5-0.5[/tex]
[tex]21.5=1.75x[/tex]
[tex]x=\frac{21.5}{1.75}[/tex]
[tex]x=12.2857142857142857\approx 12[/tex]
Therefore, the company can have 12 letters on 22 inches long name plate and option C is the correct choice.
Answer:
C. 12
Step-by-step explanation:
Ashley has a balance of $4,000 on her credit card with an annual interest rate of 13%. To pay off the $4,000 in three years, Ashley will have to make a minimum payment of $134.78 per month. To pay off the $4,000 in five years, Ashley will have to make a minimum payment of $91.01 per month.
How much more interest will Ashley pay when the length of the loan changes from 3 years to 5 years?
A) $488.20
B) $608.52
C) $1,671.90
D) $5,460.60
A graduated cylinder is filled with 36pi cm^3 of liquid. The liquid is poured into a different cylinder that has a radius of 3 cm.
What will the height of the liquid be in the new cylinder?
___cm
PLZ HELP ME I WILL MARK U as the brainliest answerrrrr I cannot get this wrong PLZZ
The liquid height in the new cylinder will be 4 cm after the volume of liquid from the original cylinder is transferred.
Explanation:In the context of this problem, we are dealing with the concept of the volume of a cylinder. The volume of a cylinder is given by the formula V=πr²h, where r is the radius of the base and h is the height of the cylinder. The given volume in the problem is 36π cm³ and the radius of the second cylinder is 3 cm. We will use the volume formula to find the height.
We know that V=36π cm³ and r=3 cm. Substituting these values into the volume formula, we get 36π=π(3)²h. Simplifying the equation gives us 36π=9πh. Dividing both sides by 9π, we arrive at the solution, h=4 cm. Therefore, the height of the liquid in the new cylinder will be 4 cm.
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2.0 is what times greater than 0.02
On Monday, Harry had 75\%75% as many toys as Teddy did. On Tuesday, after Harry acquired 3232 more toys and Teddy acquired 15\%15% more than he had on Monday, Harry had as many toys as Teddy did. How many toys did Harry have on Monday?
Answer:
60
Step-by-step explanation:
We can first define the variables as hh for the number of Harry's toys on Monday and tt for the number of Teddy's toys on Monday.
We know that on Monday, Harry had 75\%75% as many toys as Teddy, so we can write the following equation:
\qquad h=0.75th=0.75t
Hint #2
When we add 3232 toys to Harry's collection, we get h+32h+32. We can also make an adjustment to Teddy's collection, as he acquired 15\%15% more. We can represent that as 1.15t1.15t, as we should add 15\%15% to 100\%100% to get a percent increase.
Now let's make an equation for Tuesday:
\qquad h+32=1.15th+32=1.15t
Hint #3
We also know that h=0.75th=0.75t from the first equation, so we can substitute that in.
\qquad 0.75t + 32 = 1.15t0.75t+32=1.15t
Let's solve by first subtracting 0.75t0.75t from both sides.
\qquad 32 = 0.4t32=0.4t
We can then divide by 0.40.4 to solve for tt, and when we do that, we find that t=80t=80.
Hint #4
Since t=80t=80, we must substitute it into another equation to find hh (the number of toys Harry had on Monday). Let's pick the first equation.
\qquad h=0.75th=0.75t
\qquad h=0.75(80) = 60h=0.75(80)=60
Hint #5
Harry had 60 toys on Monday.
How do I multiply (4-√2)(5+√3)
Answer:
17.4076456756
Step-by-step explanation:
suppose that there are two types of tickets to a show: advance and same day. Advance tickets cost $20 and same-day tickets cost $25. For one performance, there were 75 tickets sold in all, and the total amount paid for them was $1700. how many of each type were sold?
PLEASE HELP!!
Identify the linear function graph.
A)
B)
C)
D)
Answer:
B
Step-by-step explanation:
linear is a straight line
a number divided by 70 has a quotient of 5 with the remainder of 14 what is the number and show your work
The number that divided by 70 results in a quotient of 5 with a remainder of 14 is 364. This can be calculated using the division algorithm formula 'Dividend = Divisor* Quotient + Remainder'.
Explanation:The division mentioned in the question can be represented using the division algorithm formula: Dividend = Divisor* Quotient + Remainder.
In your problem, the divisor is 70, the quotient is 5, and the remainder is 14. To find the dividend (which is the number you are trying to find), you simply substitute these values into the formula:
Dividend = 70*5 + 14
So, Dividend = 350 + 14 = 364.
Therefore, the number that when divided by 70, gives a quotient of 5 with the remainder of 14 is 364.
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Find the value of x in this figure.
A) 43
B) 47
C) 53
D) 57
Answer: 47 (choice B)
x+43 = 90
x = 90 - 43
x = 47
This works because triangle PQR is a right triangle (with angle Q as the 90 degree angle). We say that that P and R are complementary angles. I added point R to be located where the angle x is written.
Answer:
47
Step-by-step explanation:
The amount $180.00 is what percent greater than $135.00?
A.) 35%
B.) 133.33%
C.) 33.33%
D.) 25%
Answer:
Its Option C
Step-by-step explanation:
The difference is 180 - 135 = $45
So it is 45 * 100 / 135
= 33.33% greater
Answer: Its Option C
Step-by-step explanation:
For a certain manufacturer only 4/5 of the item produced are not defective. If 2,000 items are manufactured in a month, how many are not defective?
Answer:
1600 items should not be defective
Step-by-step explanation:
To determine the number of items that are not defective, we multiply the number of items we have by the probability that they are not defective.
Not defective items = items * probability
= 2000 * 4/5
1600
Answer:1600
Step-by-step explanation:
What is the lateral area of the pyramid?
We have two triangles with base 9ft and height 12.3ft and two triangles with base 11ft and height 11.9ft.
The formula of an area of a triangle:
[tex]A_\triangle=\dfrac{1}{2}bh[/tex]
Triangle #1:
b = 9ft and h = 12.3ft. Substitute:
[tex]A_1=\dfrac{1}{2}(9)(12.3)=55.35ft^2[/tex]
Triangle #2:
b = 11ft and h = 11.9ft. Substitute:
[tex]A_2=\dfrac{1}{2}(11)(11.9)=65.45ft^2[/tex]
The Lateral Area:
[tex]L.A.=2A_1+2_A2\\\\L.A.=2(55.35)+2(65.45)=241.6\ ft^2[/tex]
Answer: B. 241.6 ft².Answer: B
Step-by-step explanation:
The point here, on calculating the Lateral Area of a Pyramid is searching for Congruent Triangles. In a rectangular pyramid, we have four triangles, in the Lateral Area.
The basic formula for calculating the Area of any triangle is:
Δ[tex]=\frac{1}{2}*base*height[/tex]
So, let's plug it in the values for the 1st triangle:
Δ[tex]\frac{1}{2}* 11*11.9[/tex]
Δarea=[tex]65.45 ft^{2}[/tex]
For the second triangle (on the left):
Δ=[tex]\frac{1}{2}*9*12.3=\\ 55.35 ft²[/tex]
The base is a rectangle, this assures us the base of the other faces is also 9 ft and 11 ft.
So we can assume the other Triangle are congruent to Triangle 1 and 2.
The Lateral Area is the sum of all Pyramid's Triangles area:
55.35+55.35+65.45+65.45=241.6 ft²
Question: 1. What is the value of x? Show your work to justify your answer. (2 points) 2. What is the value of the exterior angle? Show your work to justify your answer. (2 points)
Answer:
x=56 and the exterior angle is 116
Step-by-step explanation:
We will call the unknown angle in the triangle y. Angle y and the angle (2x +4) form a straight line so they make 180 degrees.
y + 2x+4 =180
Solve for y by subtracting 2x+4 from each side.
y + 2x+4 - (2x+4) =180 - (2x+4)
y = 180-2x-4
y = 176-2x
The three angles of a triangle add to 180 degrees
x+ y+ 60 = 180
x+ (176-2x)+60 = 180
Combine like terms
-x +236=180
Subtract 236 from each side
-x+236-236 = 180-236
-x = -56
Multiply each side by -1
-1*-x = -56*-1
x=56
The exterior angle is 2x+4. Substitute x=56 into the equation.
2(56)+4
112+4
116
what value of n makes the equation 4(0.5n -3) = n-0.25 (12 - 8n) true
Answer:
n = -9
Step-by-step explanation:
4(0.5n -3) = n-0.25 (12 - 8n)
First use the Distributive Law to expand the parentheses:-
2n - 12 = n - 3 + 2n
2n - 12 = 3n - 3
Subtract 2n from both sides:-
-12 = n - 3
Add 3 to both sides:-
-9 = n
Lalo has 1,500 minutes per month on his cell phone plan. How many more minutes can he use if he has already talked for 785 minutes in an inequality? Explain.
Answer:
All you have to do is subtract 1500-785 in order to find the number of minutes left for him.
1500-785=715 more minutes left
In 1983 the composition of pennies in the United States was changed due, in part, to the rising cost of copper. Pennies minted after 1983 weigh 2.50 grams while the earlier copper pennies weigh 3.11 grams. a. A roll of pennies contains 50 pennies. If a particular roll of pennies weighs 138.42 grams, how many of the earlier copper pennies and how many of the after 1983 pennies does this roll contain? b. Suppose you measure a roll of pennies on a scale which only reads the weight to the nearest gram. The scale says that the roll of pennies weighs 131 grams. What can you conclude about the pennies in this roll? What if the roll weights 134 grams? Explain.
Answer:
Solution for (a)
Earlier Copper pennies are 22.
After 1983 pennies are 28.
Step-by-step explanation:
Pennies minted after 1983 weigh 2.50g
Earlier copper pennies weigh 3.11g
A roll of pennies contains 50 pennies.
A particular roll of pennies weighs 138.42g
Let the number of pennies minted after 1983 be x and;
Earlier copper pennies be 50 - x
2.50x + 3.11(50 - x) = 138.42
Opening the brackets gives;
2.5x + 155.5 - 3.11x = 138.42
Solving like terms together gives;
-0.61x = -17.08
Dividing through gives;
x = 28
So there are 28 after 1983 pennies and;
50 - 28 = 22 earlier pennies.
Say that you own property with a market price of $74,000. The state tax assessors have given it an assessed value of 48% of that amount. If your state’s property tax rate is 0.031, how much do you owe in property tax, to the nearest dollar? a. $1,101 b. $2,294 c. $35,520 d. $1,193
Answer:
A
Step-by-step explanation:
74,000 x .48 = 35520. 35520 is the amount of property you have to pay for.
35520 x 0.031 = 1,101.12. 1.101.12 is the amount you owe in property tax.
The amount owed in property tax to the nearest dollar is $1,101
What is the market price of a property?In real estate management, the market price is the price at which a buyer is willing to pay and which the seller is as agreed to receive at the present time.
From the parameters given:
The market price = $74000The state tax on the property = 48% = 0.48From the property, the required amount of property to be paid for is:
= $74000 × 0.48
= $35520
If the state property tax rate is 0.31, the amount owe in property tax is:
= $35520 × 0.031
= $1,101
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what is the equation in point-slope form of the line passing through (0,6) and has a slope of 4
I hope this helps.
Y - 4 = 4 ( X-0)
So the main equation is
Y - y1 = m ( X - x1 )
Y1 = 6
M (slope) = 4
X1 = 0
whuch of the following truth tables shows the statement ~p ~q
Answer:
i dont understand but this is what i got from it
I think it b because p and q haves 4 T and 4 F and when formated with -q and -p it makes T(times 3) F(1)
Answer:
B.
p q ~q p ∧ ~q
T T F F
T F T T
F T F F
F F T T
Step-by-step explanation:
Which value is equivalent to 48 ÷ ((2 + 6) × 2) − 1? A) -12 B) 2 C) 3 1 5 D) 3
Answer:
B) 2
Step-by-step explanation:
Given expression,
48 ÷ ((2 + 6) × 2) − 1
In simplification we follows the following order,
B = Bracket
O = Of
D = Division
M = Multiplication
A = Addition,
S = Subtraction,
Thus, steps of solving the given expression by following BODMAS are as follow,
[tex]\frac{48}{(2 + 6) \times 2}-1[/tex]
[tex]=\frac{48}{8\times 2}-1[/tex]
[tex]=\frac{48}{16}-1[/tex]
[tex]=3-1[/tex]
[tex]=2[/tex]
Hence, OPTION B is correct.
The value equivalent to 48 ÷ ((2 + 6) × 2) - 1 is B) 2.
Explanation:To solve this problem, we need to follow the order of operations (also known as PEMDAS or BODMAS).
First, we calculate the expression inside the parentheses: 2 + 6 = 8.
Next, we multiply the result by 2: 8 × 2 = 16.
Finally, we divide 48 by the result: 48 ÷ 16 = 3.
After that, we subtract 1: 3 - 1 = 2.
Therefore, the value equivalent to 48 ÷ ((2 + 6) × 2) - 1 is 2.