6.
The time t required to drive a certain distance varies inversely with the speed r. If it takes 2 hours to drive the distance at 40 miles per hour, how long will it take to drive the same distance at 45 miles per hour?
A. 80 hours
B. 900 hours
C. about 1.78 hours
D. 2.25 hours
Answer:
C. about 1.78 hours
Step-by-step explanation:
Answer:
1.78 hours
Step-by-step explanation:
If t varies inversely with the speed, the formula for that is t= \frac{k}{r} . If t = 2 and r = 40, then we can solve for k, the constant of variation. Multiply both sides by 40 to get k = 80. Now we need to find the value for t when r = 45. Using the k value we just solved for, we will fill in the equation as t= \frac{80}{45} for a t value of about 1.78 hours
...............................................................................................................................................
Answer: about 1.78 hours
...............................................................................................................................................
t = k/r
2 = k/67
k = 134 (which happens to be the distance)
t = 134/r
t = 134/55
t = 2.436 hours
...............................................................................................................................................
The formula for this is t = k/r, read "t varies inversely as r". If the info they give us is 4 hours and 35 miles per hour, we find that k = 140. Now use that 140 in another equation to solve for t: t = 140/45, and t = 3.1 hours
...............................................................................................................................................
t = k/r\
4 hours and 35 miles per hour,
we find that k = 140.
Now use that 140 in another equation to solve for t:
t = 140/45, and
t = 3.1 hours
Fill in the table using this function rule.
y=5x-1
The table values with the function y = 5x - 1.
x y
-1 -6
0 -1
1 4
2 9
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
y = 5x - 1
For x = -1,
y = -5 - 1 = -6
For x = 0,
y = - 1
For x = 1,
y = 5 - 1 = 4
For x = 2,
y = 10 - 1 = 9
Thus,
The table values are given above.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ2
Mary bought a bag of parsnips that weighed 2 1/4 pounds. She also bought a bag of turnips that weighed 3 times as much as the parsnips. How many pounds of turnips did Mary buy?
Step-by-step explanation:
2 1/4 is improper fraction, because it's 21/4. To simplify;
21/4 = 21/4
If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction.
21/4 = 5 1/4
With 21/4 simplified into 5 1/4, you would then do 5 1/4•3 which would be;
15.75
Conlusion/Answer:
Mary bought 15.75 pounds of turnips.
From the set {7, 15, 18), which of the values can be substituted for c to make the
equation true.
90 - 2c = 60
A. 7
B. 18
C. none of these
D. 15
Answer:
D. 15
Step-by-step explanation:
90 - 30 = 60
2 • 15 = 30
the answer is 15
What’s the domain of this graph?
Answer: ( ∞ , -∞ )
Step-by-step explanation:
please help. will give brainliest! review the table of values for function p(x). what is lim (x -14) p(x), if it exists? (table and answer options pictured)
Answer:
DNE
Step-by-step explanation:
The the given table, we have;
As x approaches -14 from the left, at x = -14.001, p(x) = 1.96
[tex]\lim \limits _{x \to -14^{-}} p(x) = 1.96[/tex]
As x approaches -14 from the right, at x = -13.999, p(x) = 1.97
[tex]\lim \limits _{x \to -14^{+}} p(x) = 1.97[/tex]
The value of p(x) when x = -14 is [tex]\lim \limits _{x \to -14} p(x)[/tex] = Undefined, or is not definable, therefore, p(x) Does Not Exist (DNE) when x = -14, and we have;
[tex]\lim \limits _{x \to -14} p(x)[/tex] Does Not Exist, DNE.
Answer
It's C. 2 on edge.
Step-by-step explanation:
Simplify (2-6)(5)(23 . 5)2.
Which drawing shows lines that are PARALLEL?
Answer:
Step-by-step explanation:
I don’t see any pictures
The area of the rectangular school garden is 24 square units. The length of the garden is 8 units. What is the length of the fence needed to enclose the entire garden?
If my initial angle is 30 degrees, what is the negative coterminal angle?
Answer:
Step-by-step explanation:
Coterminal angles are angles in standard position (angles with the initial side on the positive x -axis) that have a common terminal side. For example 30° , −330° and 390° are all coterminal.
Answer:
-330°Step-by-step explanation:
Coterminal angles have a difference of 360° or multiples of 360°.
Negative coterminal angle with 30° is:
30° - 360° = -330°Which model represents 1/2 divided by 1/6?
Answer:
The answer I believe is : D.
~ Hope this is correct, if I'm wrong I'm sorry, have a gr8 day/ night my friend!~
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
HELPPPPZ WORTH 30 POINTS AND BRAINLIEST
You don't need help my dude, you already have all of the right answer. Good job!!!
What is the area of the polygon? Show your work!
Answer:
6+6=12 cm
4+4=8 cm
6+6= 12 cm
Add all together and it equals 32
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
I LOVE DOING THESE
4x6=24
24x0.5=12
12x4=48
4x4=16
48+16=64
A clothing manufacturer offers 2 different styles of jeans, relaxed fit and regular fit, in 5 different colours. How many combinations of a style and a colour are possible?
Answer:
10 combinations
Step-by-step explanation:
We can solve the above question using the Fundamental Counting Principle.
This states that:
If an event has x possible outcomes and a other event has y possible outcomes, then there are x and y total possible outcomes for the two events together.
We are told in the above question that:
Styles of jeans = 2
Number of colors = 5
Hence,the number of combinations of a style and a colour that are possible is calculated as:
5 × 2 = 10 combinations
A block of sugar maple wood has a mass of 82.8 g and density of 0.69 g/cm3. The block is a rectangular prism with a length of 5 cm and a width of 4 cm. What is the height of the block of sugar maple?
Answer:
6
Step-by-step explanation:
I believe if you fallow the mathematical process of d=m/v you will get 6
The height of the block of the sugar maple from the rectangular prism is 6 cm.
What is the volume of a rectangular prism?The volume of a rectangular prism signifies the rectangular area enclosed by the prism. The equation used in calculating the formula for a rectangular prism can be expressed as:
V = length × width × height
From the parameters given:
mass of a sugar maple = 82.8 gThe density of the sugar maple = 0.69 g/cm³[tex]\mathbf{Desity = \dfrac{mass}{volume}}[/tex]
[tex]\mathbf{volume = \dfrac{82.8 g }{0.69 \ g/cm^3}}[/tex]
volume = 120 cm³
Using the previous equation for calculating the volume of a rectangular prism, we have:
120 cm³ = 5 cm × 4 cm × height
120 cm³ = 20 cm² × height
height = 120 cm³/20 cm²
height = 6 cm
Learn more about a rectangular prism here:
https://brainly.com/question/128724
can someone solve this for me?
Answer:
A, C, D
Step-by-step explanation:
42 + 14 = 56
38 + 18 = 56
67 + 33 = 100
70 + 30 = 100
93 + 35 = 128
95 + 33 = 128
B)
40 + 22 = 62
32 + 10 = 42
62 ≠ 42
HELP, I can't figure out the first question
Answer choice for first question
1. linearly
2.quadratically
3.exponentially
In a congressional district, 55% of the registered voters are Democrats. Which of the following is closest to the probability of getting less than 50% Democrats in a random sample of size 100?
Is this an example of a sample proportion OR a sample mean?
Answer:
sample mean
Step-by-step explanation:
Using the normal distribution and the central limit theorem, considering that this is a sample proportion, as we are dealing with percentages, it is found that there is a 0.1562 = 15.62% probability of getting less than 50% Democrats in a random sample of size 100.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample proportions of a proportion p in a sample of size n has mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex].In this problem:
55% of the registered voters are Democrats, hence [tex]p = 0.55[/tex].A sample of size 100 is taken, hence [tex]n = 100[/tex]The mean and the standard deviation of the sampling distribution of sample proportions are given by:
[tex]\mu = p = 0.55[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.55(0.45)}{100}} = 0.04975[/tex]
The probability of getting less than 50% Democrats in a random sample of size 100 is the p-value of Z when X = 0.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.5 - 0.55}{0.04975}[/tex]
[tex]Z = -1.01[/tex]
[tex]Z = -1.01[/tex] has a p-value of 0.1562.
0.1562 = 15.62% probability of getting less than 50% Democrats in a random sample of size 100.
To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213
What is the area of the rectangle
Answer:
20
Step-by-step explanation:
Subtract the 2 from the width of 7, and then multiply the height by the width.
4x5=20
Based on the statment, below which statement could be used to prove <1=<2?
vertical angles are congruent
supplementary angles are congruent
complementary angles are congruent
two angles that form a linear pair are congruent
Answer:
Vertical angles are congruent
-0.85 - (-¼) + 0.4 + (-⅖) ?
what is the value of this expression?
Answer:
-0.6
Step-by-step explanation:
-0.85-(-1/4)+0.4+(-2/5)
=-0.85+0.25+0.4-0.4
=-0.6
Anyone knows this? im giving 20 points pls answer , and it doesnt need to be big im just in 9th grade
Answer:
men=24%
women=72%
Step-by-step explanation:
100/250=0.4
0.4*180=72
0.4*60=24
i think this is the answer
Triangle ABC with vertices A(-3, 4), B(0, 2),
and C(-2, 1) is translated 4 units right and 5
units down. Which quadrant is the image?
A(-3, -1)
B(0, -7)
C(-2, -4)
Therefore, the image is in the III quadrant (bottom left).
Please check my answer if you can. i got 600 with help from a brainly tutor but i don't think it is correct
I think I know this one.
Answer: V = 600 unit 2
Step-by-step explanation:
We have that
the volume of the rectangular pyramid is
V = (1/3) BH
where
B is the area of the rectangular face
H is the height of the pyramid
step 1
Find out B
B = (15)(10) unit 2
step 2
Find the volume
B = 150 unit 2
H = 12 unit
substitute
V = (1/3)(150)(12)
V = 600 unit 2
I hope this help you! :)
A textbook store sold a combined total of 447 sociology and psychology textbooks in a week. The number of psychology textbooks sold were 43 less than the number of sociology textbooks sold. How many textbooks of each type were sold
Answer:
404
Step-by-step explanation:
what is 15/9 equivalent to
Answer:
1 6/9 or 1 2/3
Step-by-step explanation:
Answer: A lot of fractions
Step-by-step explanation:
Some Examples: 5/3, 10/6, 20/12
What is the value of y when x = 0?
Answer:
0
Step-by-step explanation:
I am not sure you included the full question, but if it is a multiplication problem, the answer is 0.
it’s being timed tysm xx
x=-2
have an amazing day <3
Help plsss no links!!! What is the measure of X in degrees?
Answer:
40⁰
Step-by-step explanation:
As triangle is isosceles,
Z = Y = 70⁰
Thus X = 40⁰, to corporate angle sum property
Jean-Luc is shopping for a gift for a friend. He will need to pay an additional 7% sales tax on anything he buys. He can spend a total of $40 on the gift, including the tax.
Part A: Suppose that a certain gift costs d dollars before the tax is added. Write an inequality to show that the total cost that Jean-Luc would spend on the item is no more than $40.
Part B: Solve the inequality for d. What is the price in dollars, before the tax is added, of the most expensive gift th
Answer:
i dont know
Step-by-step explanation:
