Question:
1. Find the constant of proportionality for Company A and Company B. (to the nearest tenth)
2. Write an equation that represents the relationship between the number of hours h and the total cost for Company A and Company B.
3. Compare the unit rates of Company A and Company B.
Answer:
Proportional relationship formula:
y = kx, where k is the constant of proportionalityUse one of the ordered pairs to calculate the value of k
Company APoint (2, 20)
20 = k*2h = 20/2k = 10The equation: y = 10h
Company BPoint (3, 20)
20 = k*3k = 20/3The equation: y = 20/3hCompany A has greater unit rate as 10 > 20/3
What is X and Y? I will give brainliest to whoever shows work and explains how to do the problem and if its correct.
Answer:
x = 5([tex]\sqrt{3}[/tex])
y = 10
Step-by-step explanation:
1st, we need to find the angles on the triangle before we can solve for side lengths.
Line Y is intercepted by line X which forms 2 supplementary angles.
These angles add up to 180 so 180 - 150 = 30 therefor the angle is 30 degrees
Next, using the vertical angle theorem, we see that there is a right angle and using this theorem, we can determine this is a right triangle and that angle is 90 degrees
Using the triangle sum theorem, we know a triangle's sum is = to 180 degrees
90 + 30 + x = 180
120 + x = 180
x = (180 - 120)
x = 60
We now determined this is a 90-60-30 triangle
The opposite of the 30 degree angle is the 5 unit measurement
According to this theorem 5 is equal to x because the side opposite of the 30 degree angle is = to x (not the side variable, the variable for this theorem)
We now solve the rest
x = 5
2x (opposite of 90 degrees) = 10
5x = 5([tex]\sqrt{3}[/tex]) (This is in its simplest form)
So now based upon this,
x = 5([tex]\sqrt{3}[/tex])
y = 10
A cylinder has a height of 19 centimeters and a radius of 10 centimeters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer: 5966cm³
Step-by-step explanation:
The volume of a cylinder is calculated using the formula:
Volume = πr²h
where, π = 3.14
radius = 10cm
Height = 19cm
Volume = πr²h
= 3.14 × 10² × 19
= 3.14 × 100 × 19
= 5966.00cm³
Write the equation of the line in Polnt-Slope form that goes through the point
(10,5) and has a slope of -3
Answer:
y-5=-3(x-10)
Step-by-step explanation:
y-y1=m(x-x1)
y-5=-3(x-10)
Help!! It’s important ...
Answer:
10
Step-by-step explanation:
:)
Write an explicit formula for the sequence and use it to find the eleventh teen in the sequence.
Given:
The sequence is 2, 4, 8, 16,... .
To find:
The explicit formula for the sequence and use it to find the eleventh teen in the sequence.
Solution:
We have,
2, 4, 8, 16,...
It is a GP because the ratio between two consecutive terms are same..
Here,
First term: [tex]a = 2[/tex]
Common ratio: [tex]r=\dfrac{a_2}{a_}[/tex]
[tex]r=\dfrac{4}{2}[/tex]
[tex]r=2[/tex]
The explicit formula of GP is:
[tex]a_n=ar^{n-1}[/tex]
Putting [tex]a=2,r=2[/tex], we get
[tex]a_n=2(2)^{n-1}[/tex]
Put n=11 to find the 11th term of the given sequence.
[tex]a_{11}=2(2)^{11-1}[/tex]
[tex]a_{11}=2(2)^{10}[/tex]
[tex]a_{11}=2(1024)[/tex]
[tex]a_{11}=2048[/tex]
Therefore, the correct option is D.
What is the measure of the missing angle?
Answer:
85 degrees
Step-by-step explanation:
A triangle's angles must add up to 180 degrees.
50 + 45 = 95
180 - 95 = 85
x = 85
Answer:
85
Step-by-step explanation:
50 + 45 = 95
180 - 95 = 85
GIVING BRAINLIEST (DIRECTIONS) Decide which measurement is larger by converting to the same measurement. (QUESTION) Which measurement is larger 10,000 lbs or 4 tons
what is the x intercept of a line that has a slope of 2/3 and passes through the point (-2,2)?
Answer:
-3
Step-by-step explanation:
use the equation y = mx + b where m is the slope and b is the y-intercept so just plug in what you know. y = 2/3x + 2 then solve the equation for x . To do that, just put y = 0 so then it would be -2 = 2/3x then -2/ 2/3 = x and -2 divided by 2/3 would be -3
Evaluate:
1. (0.36) 1/2
2. (3/7) 2
Write the product as a power:
2x2x3x3x3
Answer: 2^2 * 3^3
Step-by-step explanation: In this problem, you are only transferring each factor into an exponent. Since there are two factors of two and three factors of three, the answer would be two squared multiplied by three cubed.
In the last 2 years the
price of squishmellows has
gone up by $5 each. If
squishmellows originally
cost $10 what was the
percent change?
Hint: use the proportion
forumula
Answer:
50%
Step-by-step explanation:
Answer:
50% !! for sure :)
Step-by-step explanation:
Help please
In 1941, an actress claimed that her beautiful skin came from Lux soap. What was her name?
Group of answer choices
A. Saira Banu
B. Sadhana Bose
C. Nirupa Roy
D. Sabita Devi
E. Leela Chitnis
Answer:
E. Leela Chitnis
Step-by-step explanation:
i need help and so far i haven't got any help yet plz plz plz i need help
Answer:
20.9, 34
Step-by-step explanation:
How to find mean: add up all the numbers and divide by how many numbers
19, 19, 20, 20, 20, 21, 22, 22, 22, 22, 23
(19+19+20+20+20+21+22+22+22+22+23)/11=230/11=20.9(rounded)
If the new mean is 22, sum of all the numbers is 22 times 12=264
264-230=34(new player age)
5. Use long division method to calculate 102 024 ÷ 156
Using long division 1020 ÷ 156 is equal to 654.
What are some alternative names for arithmetic operations?Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.
Given, 102024 is divided by 156.
First, we'll take up to 1020 ÷ 156 then we'll have a reminder of two-digit and a quotient of 1 digit we will bring down the next digit and continue the process until it is completely divisible or we have a remainder than is less than 156.
1020 ÷ 156
= 654.
learn more about long division here :
https://brainly.com/question/28824872
#SPJ2
Jesse's store buys phone cases for $8 and marks them up 85%. How much does his store sell them for? Round to the nearest cent.
Answer:
Jesse's store will sell the phone cases for $14.80
Step-by-step explanation:
Cost price of the phone cases purchased by Jesse = $8
He marks them up 85%.
Therefore, selling price of the phone cases = $8 + (85% of $8)
= 8 + ([tex]\frac{85}{100}\times 8[/tex])
= 8 + 6.80
= $14.80
Jesse's store will sell the phone cases for $14.80
The chess club can have at most 36 members. There are 3 times as many boys as girls in the chess club. Which inequality could be used to determine the possible number of girls, x, in the chess club?
Answers
A. x + 3x < 36
B. x + 3x ≤ 36
C. x + 3x > 36
D. x + 3x ≥ 36
Answer:
B. x + 3x ≤ 36
Step-by-step explanation:
bc the word AT MOST means ≤
so it would be B
Silvio earns 23% for each car sale he makes while working at a used car dealership. If he sells a used car for $25,000, what is his commission?
There are 10 dogs and 15 cats. What is the ratio of dogs to cats
A. 10:25
B. 10:15
C.15:10
Answer:
B
Step-by-step explanation:
Answer: 10:15
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3. True or False, the following 4 ordered pairs are solutions to the following equation:
y = -2x + 11
(-1,13), (0,11), (1,9), (2,7)
Combine the like terms to create an equivalent expression,
6t + 7 - 2 +0
Joseph has a collection of Pokemon cards. He has 3 times as many Character cards as he has Energy cards. He has a total of 312 cards in his collection. Which equation could be used to determine the amount of Energy cards, e, he has in his collection?
Answer:
e = 312/4
Step-by-step explanation:
It’s an emergency help!
Answer:
24m^2
Step-by-step explanation:
to get the length, we have to follow this equation:
2W + 2L = P
2(4) + 2L = 20
8 + 2L = 20
8 + 2(6) = 20
to get the area from this information, we have to follow this equation:
A = W • L
A = 4 • 6
A = 24m^2
lol also isn’t there a time limit on quizizz ?
In the expression
4x + 7, the x is called the _.
A. term
B. constant
C. coefficient
D. variable
Answer:
constant
Step-by-step explanation:
constant just trust
A line with a slope of -1 passes through the point (5,6). What is its equation in point-slope form?
Answer:
y - 6 = -(x - 5)
Step-by-step explanation:
Start with the general point-slope form y - k = m(x - h).
Here m = -1, h = 5 and k = 6, and so, after substitutions, we have:
y - 6 = -(x - 5)
1/4x+1/2=3/4 pls help
If
x + 2y = 1
X– 2y = 13
then y =
Answer:
y = -3
Step-by-step explanation:
x + 2y = 1 then x = 1 - 2y
x– 2y = 13
substitute for x:
1 - 2y - 2y = 13
simplify:
-4y = 12
y = -3
x = 7
Find the mean, median, and mode(s) of the data. Do not round.
Answer:
Attach a picture
Step-by-step explanation:
Help pls 10 points
A x=56
B x=156
C x=166
D x=66
D: x=66
Step-by-step explanation:
As we know the angle is 90 degree.Then x+24 degree is equal to 90 degree as whole part axiom. If we subtract 24 from 90 we get 66
Hope it's helpful!!
Solve the inequality then graph: The product of a number and 3 increased by 9 is less than -42
Answer:
(1/2)n + 9 > 33
Step-by-step explanation:
I hope this helps u