William has a lemonade stand. It costs him $0.30 to make 3 cups of lemonade. Find the rate of change of his cost and respect to the dozens of cups of lemonade he makes?
Answer:
I'm a bit confused, but it would cost $1.20 to make a dozen cups of lemonade
Step-by-step explanation:
0.30 divided by 3 is 0.10, and a dozen is twelve which makes the problem 0.10x12 which equals $1.20
AT the amusement park, the Ferris wheel is located 95 feet east and 156 feet north of the entrance. The swings are located 23 feet west and 124 feet north of the entrance. If Jalen is standing exactly three-eights the distance from the Ferris wheel to the swings, to the nearest hundredth foot, find the direct distance between Jalen and the entrance.
Answer:
131.58 feet
Step-by-step explanation:
Let the coordinates of the entrance be (0, 0). Since the Ferris wheel is located 95 feet east and 156 feet north of the entrance, its coordinates are (95, 156). Also, the swings are located 23 feet west and 124 feet north of the entrance. The coordinates of the swings are (-23, 124).
So, we find the distance, d between the Ferris wheel and the swing using
d = √[(x₂ - x₁)² + (y₂ - y₁)²] where d is the distance between coordinates (x₁, y₁) and (x₂, y₂).
Now (x₁, y₁) = (95, 156) and (x₂, y₂) = (-23, 124)
So, d = √[(x₂ - x₁)² + (y₂ - y₁)²]
d = √[(-23 - 95)² + (124 - 156)²]
d = √[(-118)² + (-68)²]
d = √[13924 + 4624]
d = √18548
d = 136.191 feet
Since Jalen is standing exactly three-eights the distance from the Ferris wheel to the swings, his distance from the Ferris wheel is d' = 3d/8 = 3 136.191/8 = 51.072 feet ≅ 51.07 feet
We now calculate the distance d' of the Ferris wheel to the gate. Since the coordinates of the gate are (0, 0) and the coordinates of the Ferris wheel are (95, 156), we use
d" = √[(x₂ - x₁)² + (y₂ - y₁)²]
Now (x₁, y₁) = (0, 0) and (x₂, y₂) = (95, 156)
So, d" = √[(x₂ - x₁)² + (y₂ - y₁)²]
d" = √[(95 - 0)² + (156 - 0)²]
d" = √[95² + 156²]
d" = √[9,025 + 24,336]
d" = √33,361
d" = 182.65 feet
Now the direct distance, D between Jalen and the entrance is thus distance from Ferris wheel to entrance minus distance from Jalen to Ferris wheel = d" - d'
= 182.65 feet - 51.07 feet
= 131.58 feet
PLEASE HELP ME 6+__=8 and you will get brainliest :)
Answer:
the blank is 2 <3
Answer:
2
Step-by-step explanation:
You can do the inverse to find the answer like this.
8-6=
A triangle has sides with lengths of 65 in 72 in and 97 in is it a right triangle?
Answer:
yes
Step-by-step explanation:
By pythagoras' theorem,
97^2 = 9409
65^2 + 72^2 = 9409
since 65^2 + 72^2 = 97^2, the triangle is a right angled triangle
This is a question on Pythagoras theorem. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
The given sides form a right angled triangle , beacuse (hypotenuse)^2 = (base)^2 + (height)^2
What is Pythagoras theorem ?The Pythagoras theorem states that if a triangle is a right-angled triangle, then the square of the hypotenuse is equal to the sum of the squares of the other two sides. Observe the following triangle ABC, in which we have BC2 = AB2 + AC2. Here, AB is the base, AC is the altitude (height), and BC is the hypotenuse. It is to be noted that the hypotenuse is the longest side of a right-angled triangle.
According to the Pythagoras theorem ,
In a right angle triangle square of the hypotenuse is equals to the sum of the square of the other two sides.
⇒ (hypotenuse)^2 = (base)^2 + (height)^2
∴ (65)^2 + (72)^2 = (97)^2
⇒ 4225 + 5184 = 9409
⇒ (97)^2 = 9409
∴ 9409 = 9409
Hence, the given sides form a right angled triangle.
To learn more about the Pythagoras theorem here:
https://brainly.com/question/12381687
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A spinner with 9 equal sections is numbered 1 through 9. The probability of spinning a 3 is
What is the probability of not spinning a 3?
Enter your answer as a fraction, in simplest form, in the box.
Answer: The probability of spinning a 3 is 1/9
Step-by-step explanation:
If there are 9 equal sections, that means there is an equal percent chance for each number to be landed on. Since there are 9 pieces, the denominator would be 9. There's a 1/9 chance because it is 1 section out of 9.
please help me im dying help
Answer:
call 911 if you are in a emergency.
Answer:
c
Step-by-step explanation:
y = -5/2 + b (substitute the co-ordinates in y and x)
5 = -5/2 × (-2) + b
5 = 5 + b
b = 5-5
b = 0
I NEED HELP ASAP!!!! Pleaseeee
Answer:
jhcgskuaygrhfksrhdfcgiuzx6yh
.luc
Step-by-step explanation:
f/13 = 6.2 what is the value of f
Answer:
The value of f is 80.6.
Step-by-step explanation:
We are given the equation and asked to solve for f.
If we are given a fraction with a variable in the numerator, we can multiply both sides of the equation by the denominator to isolate it.
For example, if you look at this equation:
[tex]\displaystyle\frac{a}{26}=17.9[/tex]
We can multiply both sides by 26 to get the a by itself so the equation can be solved.
[tex]\displaystyle26\times\frac{a}{26}=17.9\times26\\\\a = 465.4[/tex]
Therefore, we can apply this same technique to the equation [tex]\frac{f}{13}=6.2.[/tex]
[tex]\displaystyle\frac{f}{13}=6.2\\\\13\times\frac{f}{13}=6.2\times13\\\\f = 80.6\ \text{or} \ \frac{403}{5}[/tex]
Therefore, the value of f is 80.6.
Answer:
f = 80.6
Step-by-step explanation:
Multiply both sides by 13.
f /13 =6.2
( f /13 )*(13)=(6.2)*(13)
f = 80.6
PLEASE HELP! Ann needs to buy plastic forks. Brand A has a box of 25 forks for $2.12. Brand B has a box of 72 forks for $5.09 .
Find the unit price for each brand. Then state which brand is the better buy based on the unit price.
Round your answers to the nearest cent. And thank you if you answer this I really need the answer.
Answer:
To find the price per spoon of brand A, divide the cost by the amount of spoons:
1.99 / 25 = 0.0796
Repeat this process for brand B:
3.89 / 42 = 0.0926
Brand A, at $0.08 a unit, is the better buy of brands A and B.
What is 142/3 simplified
Help please!!!
Answer:
47.33
Step-by-step explanation:
I solved it on paper
Answer:
142/3 as a fraction cannot be divisible but 142/3 is equal to 47 1/3
Step-by-step explanation:
142/3=47.3333333
47.3333333333 = 47 1/3
4. Find each missing length to the nearest tenth.
3
7
Find the area of a triangle with a base length of 3 units and a height of 4 units. (1 point) 3 square units 6 square units 7 square units 8 square units
Answer:
h
Step-by-step explanation:
h
Answer:
6
Step-by-step explanation:
There are 20 boys and 16 girls. what is the largest number of groups that you can form such that boys and girls are distributed equally among the groups?
Answer:
Step-by-step explanation:
First we find the GCF or Greatest Common Factor
20: 1, 2, 4, 5, 10, 20
16: 1, 2, 4, 8, 16
As you can see 4 is the GCF (Greatest Common Factor)
so, the largest number of groups are 4
Unless you are asking for how many girls and boys can be fit in each group then,
20 ÷ 4 = 5
16 ÷ 4 = 4
So, 5 boys and 4 girls are in each group.
Plesae help
Rusty's hair grows at the rate of 1 over 4 inch per month.
How many months will it take Rusty's hair to grow 5 over 8 inch?
Explain your answer using words, and show your work using division of fractions.
As per linear equation, within 2.5 months, Rusty's hair will grow over [tex]\frac{5}{8}[/tex] inches.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. When this equation is graphed, it always results in a straight line."
Given, the growth rate of Rusty's hair is [tex]\frac{1}{4}[/tex] inches per month.
Let, within 'x' months, her hair will grow [tex]\frac{5}{8}[/tex] inches.
Therefore, x × [tex]\frac{1}{4}[/tex] = [tex]\frac{5}{8}[/tex]
⇒ x = ( [tex]\frac{5}{8}[/tex] × 4)
⇒ x = 2.5
Therefore, within 2.5 months, Rusty's hair will grow over [tex]\frac{5}{8}[/tex] inches.
Learn more about linear equation here: https://brainly.com/question/18761688
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What is the solution set?
(2, 0)
(7, 0)
(0, -2)
(5, 3)
Guys plz help answer this!!!!
Will GIVE BRAINILEST TO WHO ANSWERS
Subtract 9x^2+7x-29x 2 +7x−2 from 8x-108x−10.
Answer:
20x^2 - 107x - 10.
Step-by-step explanation:
8x - 108x - 10 - (9x^2 + 7x -29x^2)
simplifying:
-100x - 10 - (7x - 20x^2)
20x^2-100x - 7x - 10
20x^2 - 107x - 10
Answer:
−9x
2
+x−8
Step-by-step explanation:
Triangle A is mapped onto triangle A’
Answer:
What do you mean???
Step-by-step explanation:
56=13+d what does the d stand for I've been getting different answers trying to solve it
Answer:
43
Step-by-step explanation:
56-13=43............
Answer:
d = 43
Step-by-step explanation:
56 = 13 + d Subtract 13 from 13 and subtract 13 from 56.
43 = d
Determine the slope of each equation below:
y = 3x -8
y-4 = [(x + 5)
12x + 2y = 18
Answer:
1 = 3
2 = 1 ( I assumed the equation is y-4 = [(x+5)]
3 = -6
Step-by-step explanation:
GOOD Connect It Now look at different ways to solve the problem. 2) Write 1,000,000,000 as a product of 10s.
plweasee help me
Answer:
1 x 10^9
Step-by-step explanation:
Increase £180 by 12.5%
Answer:
202.50
Step-by-step explanation:
Answer:
£202.50
Step-by-step explanation:
£180 by 12.5 % is £180+ (£180*12.5) which is 202.50.
Hope this helps :D
Identify the opposite number of -22 7
Answer:
22.7?
Step-by-step explanation:
7. Refer to the diagram. The equilibrium price
and quantity in this market will be:
A $1.00 and 200
B. $1.60 and 200
C. $.50 and 130
D. $1.60 and 290
Which equation could generate the curve in the graph below?
Answer:
There is no graph
Step-by-step explanation:
What 350 / 8. I can't use a calculator or it.
Answer:
43.75 or 175/4 (43 3/4)
Answer:
i think its 43 or 43.75
Step-by-step explanation:
Fill in the blank so that the relation is NOT A FUNCTION. Type a number only in the blank. The blank represents the x-value of the last ordered pair. {(4.5),(0, -1), (-7,0). (-3,8). ( type your answer .. -1)
2. Craig read 3 books each week for 3 weeks. Joe read 4 books a week for 3 weeks. How many more books did Joe read? Choose the answer that has the correct expression and the correct answer to the question
4x3+4x4; Joe read 28 more books than Craig.
0 4x3 - 3x3; Joe read 27 more books than Craig.
3x3-4x 3; Joe read 3 more books than Craig.
0 4x3 - 3x3; Joe read 3 more books than Craig
Answer:
4*3 - 3*3;
Joe read 3 more books than Craig
Step-by-step explanation:
Given
Craig:
3 books weekly for 3 weeks
Joe:
4 books weekly for 4 weeks
Required
How many more books did Joe read.
First, we need to determine number of books Craig reads
If in a week, Craig reads 3 books
Then in 3 weeks, Craig reads 3 * 3 books
Next, we need to determine number of books Joe reads
If in a week, Joe reads 3 books
Then in 4 weeks, Joe reads 4 * 3 books
Next, we determine the difference;
[tex]Difference = 4 * 3 - 3 * 3[/tex]
[tex]Difference = 12 - 9[/tex]
[tex]Difference = 3[/tex]
Hence, Joe reads 3 more books
Option D answers the question.
Order each set from least to greatest.
8.2, 8.02, 8.025, 8.225
Answer:
8.02,8.025,8.2,8.225
Step-by-step explanation:
Find the commission based on total sales of $152,000 and a commission rate of 1.25%
Answer: $1900
Step-by-step explanation:
Simple math