5. A motorist leaves Derby at 10:55 and arrives in Leicester 1 14 hours later. The
distance from Leicester to Derby is 50 miles.
a) At what time did he arrive in Leicester?
b) What was his average speed in mph?
Answer:
a. 12:10 pm
b. 40 mph
Step-by-step explanation:
Assuming you meant to type 1 ¹/₄ hours later.
a. First convert that to a improper fraction and then a decimal:
= 5/4
= 1.25 hours
1.25 hours in minutes is:
= 1.25 * 60
= 75 minutes
= 1 hour 15 minutes
The motorist left at 10:55.
= 1055 + 1 hour
= 11:55
Add 15 minutes:
= 12:10 pm
b. Speed = Distance / Time
= 50 / 1.25 hours
= 40 miles per hour
Write 7 times the sum of y and 1/3 as an algebraic expression
Answer:
7 x (y+1/3)
because you take the sum in a parentheses to follow PEDMAS and then multiply the sum by 7
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The algebraic expression of 7 times the sum of y and 1/3 is
7/3 (3y + 1).
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
7 times the sum of y and 1/3
This can be written as,
= 7 (y + 1/3)
=7 (3y + 1) / 3
= 7/3 (3y + 1)
Thus,
The algebraic expression of 7 times the sum of y and 1/3 is
7/3 (3y + 1).
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
If four bicycle lamps cost £24 how much would seven lamps cost?
2u+15 less than or equal to 55
Answer:
less than i dont know
wxz
What quadrilateral has both diagonals bisecting each other but they are not congruent or perpendicular?
Answer:
A parallelogram with different side lengths.
Step-by-step explanation:
If we consider a parallelogram (not rectangle, not square, and not a rhombus), then its diagonals will bisect each other but would be not congruent or perpendicular. See attached image.
You place two wooden support beams under a shelf, as shown. Find the value of x.
(2x + 10)
(x + 5)
Answer:
X=55
Step-by-step explanation:
(2x+10)+(x+5)=180
Combine like terms.
3x+15=180
Subtract 15.
3x=165
Divide by 3.
x=55
Answer:
see attached
Step-by-step explanation:
angles on a straight line
14.4 = -2.46
what is the answer
the question isn't true so that means it's false
In the figure below, D is the midpoint of AC, and BD is perpendicular to AC.
What is the length of BD?
Answer:
(BD)^2 + (DC)^2 = (BC)^2
(BD)^2 + (15)^2 = (25)^2
(BD)^2 +225 =625
(BD)^2= 400
BD= 20cm
Step-by-step explanation:
2y = 2x = 8 y = x + 4
Answer:
I love algebra anyways
the ans is in the picture with the steps how i got it
(hope that helps can i plz have brainlist it will make my day :D hehe)
Step-by-step explanation:
margo has sandwich cut into 1/3 pieces . if she needs to serve 11 people how many whole sandwiches will she need?
Answer:
she needs 4 and will have 1/3 of a sandwich left
Step-by-step explanation:
Answer:
12 pices remainder 1
Step-by-step explanation:
Because if u split a sandwich in 12 pices u get 1 extra sandwich left over and 12 is good enough for 11 ppl hope I helped
You and some friends are at a Chinese restaurant. You order several `\$2.00` plates of wontons. Your bill is `\$24`. How many plates of wontons did you order?
Answer:
12
Step-by-step explanation:
It does not say what the tax is so the answer would be 12. You just divide 2 by 24.
Answer:
12
Step-by-step explanation:
24 divided by 2 is 12 or 2 times 12 is 24
mark me brainliest
This figure consists of a rectangle and semicircle. What is the perimeter of this figure? Use 3.14 for pi.
Answer: 36.56
Step-by-step explanation:
You are randomly assigned a password consisting of 7 different characters chosen from the digits 0 to 9 and the letters A to Z. As a percent, what is the probability that you are assigned a password consisting of only letters? Round the answer to the nearest tenth of a percent.
Answer:
It would be 50%.
Step-by-step explanation:
beacuse its half numbers and half letters
Answer:
7.9%
Step-by-step explanation: I got it wrong for you :)
Which expression is equivalent to 6(-4f + 5)?
Answer:
-24f + 30
Step-by-step explanation:
Use the distributive property.
for 30 points here you go please answer truthfully
Answer:
855 sorry i miscalculated :c okay stay safe :D
Step-by-step explanation:
enjoy
Seven less than three times her number is between two and eleven(inclusive)
Answer:
3≤x≤6
Step-by-step explanation:
2≤3x-7≤11
2+7≤3x-7+7≤11+7
9≤3x≤18
9÷3≤3x÷3≤18÷3
3≤x≤6
Malik earns an average of 412 points on his daily quizzes. Near the end of the quarter, his average decreases by 34 points.
Write and then evaluate a subtraction expression (in fraction form) to find his current quiz grade average.
Answer: Required expression= 412-34
Current quiz grade average = 378
Step-by-step explanation:
Given: The average points on daily quizzes = 412
The average decreases by 34 points. (Near the end of the quarter)
Current quiz average = (Average points on daily quizzes) - (Average decreases)
i.e. Current quiz average =412-34 [ i.e. Required expression= 412-34]
i.e. Current quiz average =378
Hence, his current quiz grade average = 378
please look at the photo below and answer the question(s)
Answer:
Mean - 79
Median- 81
Range- 11
Step-by-step explanation:
Mean aka average = add all the numbers together and divide it by the number of numbers there were to find the mean of something.
in this case : 81 + 82 + 84+ 75+73+75 + 83 = 553 divided by 7 = 79
Median - Rearrange the set of numbers from least to greatest or greatest to least and find the middle number to find the median
In this case : 73, 75, 75, 81, 82, 83, 84 = The median is 81
Range - Substract the highest and the lowest number from the set of numbers to find the range.
In this case : 84 - 73 = 11
I really need help with this plz
Answer:
n<4
It goes to the left
Step-by-step explanation:
Let's solve your inequality step-by-step.
6n+7<31
Step 1: Subtract 7 from both sides.
6n+7−7<31−7
6n<24
Step 2: Divide both sides by 6.
6n/6<24/6
n<4
One plus a number y is no more than - 13.
Answer: 1 + y ≤ -13
Step-by-step explanation:
A group of men decided to do a job in 8 days.
But since 10 men dropped out every day, the job
got completed at the end of the 12th day. How
many men were at the beginning?
Given :
A group of men decided to do a job in 8 days.
10 men dropped out every day, the job got completed at the end of the 12th day.
To Find :
How many men were at the beginning ?
Solution :
Let, total number of men initially are n.
It none of them leave, total work :
W = 8n ...1)
It is given that 10 men are dropped each day it takes them 12 day to complete the work :
W = ( n ) + ( n - 10 ) + ( n - 20 ) + .... + ( n - 110 )
W = 12n - ( 0 + 10 + 20 + ...... + 110 )
W = 12n - 660 ...2)
Since, total work is same in both the cases, so equating both equation, we get :
12n - 660 = 8n
4n = 660
n = 165
Therefore, their are 165 men in the beginning.
How far apart would Mars and Jupiter be if they were on opposite sides of the Sun?
Answer:
approximately 550,390,000 km
Step-by-step explanation:
Answer:
approximately 550,390,000 km
Step-by-step explanation:
sorry im late
Forty percent of the students who enroll in a statistics course go to the statistics laboratory on a regular basis. Past data indicates that 55% of those students who use the lab on a regular basis make a grade of A in the course. On the other hand, only 15% of students who do not go to the lab on a regular basis make a grade of A. If a particular student made an A, determine the probability that she or he used the lab on a regular basis. (Round your answer to three decimal places.)
Answer:
0.71 = 71% probability that she or he used the lab on a regular basis.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Student got an A
Event B: Used the lab on a regular basis.
Probability of an student getting an A:
55% of 40%(go to the lab on a regular basis).
15% of 100 - 40 = 60%(do not go to the lab on a regular basis).
So
[tex]P(A) = 0.55*0.4 + 0.15*0.6 = 0.31[/tex]
Probability of getting an A and using the lab on a regular basis:
55% of 40%, so:
[tex]P(A \cap B) = 0.55*0.4 = 0.22[/tex]
Probability that she or he used the lab on a regular basis.
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.22}{0.31} = 0.71[/tex]
0.71 = 71% probability that she or he used the lab on a regular basis.
Martin will ride his bike from his aunts house. He has two different routes he can take. One route goes up and down hill. The other route avoids the hill by going around the edge of the hill. How do you think the routes will differ. What do you think about the relationship of speed and time?
Answer and explanation:
One route goes up and down the hill while the other goes around the edge of the hill, in other words one route goes through a hill to get to the destination while the alternative route has a tunnel that makes it possible to avoid the hill.
Relationship between distance and time is given by the formula:
Distance = Speed × time
For example to find the distance travelled with a speed of 10km/hr and 4 hours travelled, we simply multiply speed 10km/hr by time travelled 4 hrs = 40km
Look at the formula for finding distance. Which of the following is the formula to find time? [picture included]
Answer:
A.
Step-by-step explanation:
Answer:
[tex] \huge \: \boxed { \boxed{ \red{ a)t = \frac{d}{r}}}}[/tex]Step-by-step explanation:
to understand thisyou need to know about:equationPEMDASgiven:[tex]d = rt[/tex]to find[tex]t[/tex]let's solve:[tex]step - 1 :define[/tex]
[tex]d = rt[/tex]
[tex]step - 2 : solve[/tex]
[tex]rewrite : \\ rt = d[/tex][tex]divide \: both \: sides \: by \: r : \\ \frac{rt}{r} = \frac{d}{r} [/tex][tex]simplify : \\ t = \frac{d}{r} [/tex][tex] \huge \: \boxed { \boxed{ \red{ \therefore t = \frac{d}{r}}}}[/tex]
Round 0.41826923 to the nearest tenth
Answer:
0.4
Step-by-step explanation:
the volume of a rectangular prism is 21/12 ft3 , and the height of the prism is 3/4 ft. determine the area of the base
3 Solve the inequality -- X + 6 >-3 4 Ox>-2 0x 12 0x< 12
Answer:
D)
Step-by-step explanation:
What's the GCF of 77?
what is the ordered pair for y- 4 = 7(x-6)
Answer:
(6,4)
Step-by-step explanation:
the ordered pair is (6,4)
Answer: Choice D
(6,4)
Step-by-step explanation:
If you are doing the khan it's neither. Hope this helps