Answer:
it is b
Step-by-step explanation:
Sarah is training for a bike race. she rides her bike 5 3/4 miles in 1/3 hour. what is Sarah's rate in miles per hour? Express your answer in a mixed number. show your work.
Answer:
17 1/4 miles per hour
Step-by-step explanation:
First let's convert the mixed number to a fraction so it is easier to work with:
5 3/4 = (5*4 + 3)/4 = 23/4 miles.
Because she travelled it in a third of an hour, she could do it 3 times in 1 hour.
Because of this to get speed we divide the distance by the time taken.
23/4 divided by 1/3 is the same as saying 23/4 times 3:
(3*23)/4 = 69/4 = 17 1/4 miles per hour
Answer:
17 1/4
Step-by-step explanation:
Which polygon(s) below are similar (not congruent) to polygon A? Mark the similar polygon(s) with true
Can somebody help will give brainliest thank you
Step-by-step explanation:
1. the equation of a line is y = mx + c
m is the gradient and you can work this out by the change in y ÷ by the change in x
c is the y-intercept, which is where the line intercepts the y line.
2i.
(4 - 1) ÷ (2 - 1) = 3
What is the answer for 4(r-2+y) ?
Answer: 4R+4y-8
Step-by-step explanation:
Answer:
i hope my answer help u:))
Step-by-step explanation:
4r-8+4y it is easy :))
How many divisors of 7! = 7:6:5.4.3.2.1 are divisible by 7 ? (Example: 14 has
two divisors, 7 and 14, that are divisible by 7.)
Answer:
30
Step-by-step explanation:
7! = 7*(2*3)*5*(2*2)*3*2*1 = [tex]7*5*3^{2}*2^{3}[/tex]
Ignoring the 7, there are 24 factors of this number as you will multily each of the factors of 6! by 7 to get each of the factors of 7! divisble by 7. But since you ignored the 7, you need to bring back the possible values of 7*6, 7*5, 7*4, 7*3, 7*2, 7*1.
24 + 6 = 30 divisors
There are 60 divisors of 7!.
What is factorial?The factorial function can be used to determine the ordered set of numbers or how many different ways things can be arranged. Daniel Bernoulli discovered the factorial function's well-known interpolating function. Numerous mathematical concepts, including probability, permutations and combinations, sequences and series, and so on, make use of the factorial idea.
Given 7!
We must first write 7! as the product of prime numbers, as shown below. The highest power of a prime number is typically divided by N! is given by [tex]s_{p}[/tex](N!)=N/p + N/p² + N/p³ +.......
Since you want to count the number of terms that are multiples of p and contribute one p to N!, the first term appears. However, when you have multiples of p², you are not simply multiplying one p; rather, you are multiplying two primes p to the product. Therefore, you now count and add the number of multiples of p² that are less than N.
let for p =2
[tex]s_{p}[/tex](7!) = 7/2 + 7/4 + 7/8 + ......... = 3 +1 = 4
we have to repeat this process for 3,5,7
we get 7!=2⁴ x 3² x5¹ x7¹
Now, the number of divisors of 7 is equivalent to number of ways of selecting zero or more objects from the group of identical objects
=(4 +1)(2 + 1)(1 + 1)(1 + 1) = 60 includes 1 and 7.
Hence the divisors of 7! is 60.
Learn more about factorial;
https://brainly.com/question/15689921
#SPJ2
What is the factors for x squared plus 5x - 6
Answer:
(x+6)(x-1)
Step-by-step explanation:
x^2+6x-x-6
x(x+6)-(x+6)
(x+6)(x-1)
1 pt:
Find the length of the intercepted arc and sector in a circle with a radius of 6 cm and a central angle of
132 degrees.
Answer:
Arc length = 13.818
Step-by-step explanation:
First, you will need to convert the 132 degrees to radians.
To convert, you'll have to multiply by π/180. So 132 x π/180 = 2.303.
Now with that value, you'll have to multiply by the radius to obtain the arc length.
2.303 x 6 = 13.818
Central angle = 132
Radius = 6
Diameter = 6 x 2 = 12
Arc length = 13.818
Bryant had $450 in the bank yesterday. Then, Bryant bought a fancy new rug for $620, but didn't realize that he overdrew from his bank. His account balance was negative now and he was in debt! What is the absolute value of his new account balance?
What is the distance in between coordinate points -10 and 15 and 15 and 15
Answer:
25x
Step-by-step explanation:
Answer:
use pythagoras
Step-by-step explanation:
Ivan and Tanya share £150 in the ratio 4:1
Work out how much more Ivan gets compared to Tanya.
Answer:
Step-by-step explanation:
The £150 must be split 5 ways with Ivan getting 4 of those splits.
£150/5
----------------
£30
Ivan gets £30 times 4 (remember, Ivan gets a four split).
Tanya gets £30.
Ivan gets £120.
Tanya gets £30.
£120
- £30
----------------
£90
Ivan gets £90 more than Tanya.
Hope this helped!
2). Stuart took his wife out to dinner. The bill came to $72.00 and he
wants to leave a 15% tip. How much should Stuart leave the server for the
tip? *
Hellllpppppop!?!?!!?????
Answer:
10.8
Step-by-step explanation:
Answer:
$10.8
Step-by-step explanation:
First, you would multiply 72 x 15 to get 1,080. Then, you would divide 1,080 by 100 to get 10.8. I hope this helps :)
5. A store sells milk in three different sizes. The 128 fl oz size costs $4.59. The 64 fl. oz container
costs $329. And, the 32 oz container cost $1.99. Which size has the lowest price per fluid
ounce?
Please round this number to the second decimal:
113.097335529233
Answer:
113.1
Step-by-step explanation:
Answer:
Step-by-step explanation:
The 7 in the hundreths place would bring the 9 up. So your answer would then be 113.10
Carpenters earn an average of $1120 less
per month than designers at a furniture
factory in Smithville. The factory employs
3 designers and 15 carpenters. Let x
represent the average monthly pay of a
designer
Which of the following functions correctly
shows the relationship between the
monthly payroll (P) and the wages of these
employees?
(1) P= 3x + 15(x - 1120)
(2) P= 3(x - 1120) + 15x
(3) P = 3(x - 1120) + 15(x -
1120)
(4) P= 3 + x + 15 + (x - 1120)
(5) P = 3(x)(15)(x - 1120)
A department store buys 300 shirts at a cost of $3,600 and sells them at a selling price of $20 each. Find the percent markup. The percent markup is 1%. (Round to the nearest whole number as needed)
Answer:
40%
Step-by-step explanation:
A department store buys 300 shirts at a cost of $3,600 and sells them at a selling price of $20 each. Find the percent markup.
The formula for Percent Markup is given as:
Selling price - Cost price/Cost price × 100
Cost price = $3,600
Selling price = $20 × 300 shirts
= $6000
Percent Markup = $6000 - $3600/6000 × 100
= 2400/6000 × 100
= 40%
The percent Markup is 40%
The store is selling lemons at $0.46 each. Each lemon yields about 2 tablespoons ofjuice. How much
will it cost to buy enough lemons to make three 9-inch lemon pies, each requiring half a cup of
lemon juice?
Answer:
12 lemons, $5.52
Step-by-step explanation:
sam's mother is twice as old as sam. in 12 years sam will be as old as his mother was 12 years ago, how old is sam and his mother now PLZ HELP NOW
Answer:
Sam will be 24 and his mom U can figure that out
Step-by-step explanation:
Math
Answer:
24
Step-by-step explanation:
`12
Need help with this question thanks :)
Answer:
Omar could invite 19 friends.
Step-by-step explanation:
the equation for this word problem would be
5x+30=125
subract 30 from both sides
5x=95
divide both sides by 5
x=19
Answer:
(125-30) divided by 5. Your answer is 19.
Step-by-step explanation:
subtract 30 from 125 and your left with 95. Divide 95 by 5 and you get 19.
Laura invests $2,000 in a bank account which pays a compound interest rate of 6.4%. To the nearest cent, what amount is in the account after 5 years and what amount of interest earned over 10 years?
Answer:
9,000
Step-by-step explanation:
it you count with time by ×it would be 9,000 because just add that up with money
40 employees in an office wear eyeglasses. 22 have single-vision correction, and 18 wear bifocals. If two employees are selected at random from this group, what is the probability that both wear bifocals? What is the probability that both have single-vision correction?
Round your answers to four decimal places
Step-by-step explanation:
The number of way to select 2 employees from 40 is 40C2.
The number of way to select 2 employees from 22 is 22C2.
So the probability of the two employees having single-vision correction is just the number of ways to select the 22 employees (22C2) divided by the total number of ways to select 2 employees (40C2).
22C2 / 40C2 = 77/260
We can use the same technique for the bifocal employees.
18C2 / 40C2 = 51/260
Maths in science
A student sampled a local playing field to estimate the total number of dandelion plants growing there
Answer:
Step-by-step explanation:
answer is that i dont know
Simplify the expression by combining like terms
16h + 10 + 4h
Answer:
20h + 10
Step-by-step explanation:
16h + 10 + 4h
The like terms in this expression are 16h and 4h
20h + 10
Hope this helps! May I please have brainliest? :)
3 Write the statement "10 is 7 less than the product of 5 and a" as a
mathematical equation.
A scientist was in a submarine below sea level, studying ocean life. Over the next ten minutes, she went up 22.1 feet. How many feet had she been below sea level, if she was 2.5 feet below sea level after she went up?
Answer:
24.6
Step-by-step explanation:
it's 24.6 because if you add 2.5 plus 22.1 equals 24.6
Help plz:)))I’ll mark u Brainliest
Answer:
14.4 ft
Step-by-step explanation:
The triangles formed by both ladders are similar to each other. Therefore, each corresponding sides will be proportional.
Thus, x + 8 would represent how far up the 10-foot ladder reaches the wall.
Therefore:
18/10 = (x + 8)/8
9/5 = (x + 8)/8
Cross multiply
9*8 = 5(x + 8)
72 = 5x + 40
72 - 40 = 5x
32 = 5x
Divide both sides by 5
32/5 = x
x = 6.4
The 10-foot ladder would be, 6.4 + 8 = 14.4 ft far up the wall.
Please help!!!!me!!!!!!
Answer:
y= 163 because of vertical angle
Answer:
y° = 163°
Step-by-step explanation:
In this question we have to find the value of y.
We can solve this using the property of vertically opposite angles, I.e, vertically opposite angles are equal to each other. In this case the vertically opp. angle of y is 163°. So that makes y° = 163°
Rectangle ABCD has m∠BAC=4x+5and m∠ACD=5x−4. Find m∠CAD m∠CAD =
Answer:
m∠CAD = 49degrees
Step-by-step explanation:
For a rectangle ABCD if m∠BAC=4x+5and m∠ACD=5x−4, then;
m∠BAC = m∠ACD (alternate angles)
4x+5 = 5x - 4
4x-5x = -4-5
-x = -9
x = 9
Also
m∠BAC+m∠CAD = 90
4x+5+m∠CAD = 90
4(9)+5+m∠CAD = 90
36+5+m∠CAD = 90
41+m∠CAD = 90
m∠CAD = 90-41
m∠CAD = 49degrees
round 256,733 to ten thousands
Answer:
260,000
Step-by-step explanation:
Answer:256.73 hope this helps!
Step-by-step explanation:
Please help me answer this
whats the question? what does it want. ill edit this when you give me the question.
Step-by-step explanation:
ratio in its simplest form 114 : 95
Answer:
Step-by-step explanation:
114:95 = 6:5
6:5
Step-by-step explanation: