Answer:
x = days he reads for 4.5 hours = 1 day
y = days he reads for 3.5 hours = 6 days
Step-by-step explanation:
Let
x = days he reads for 4.5 hours
y = days he reads for 3.5 hours
x + y = 7 (1)
4.5x + 3.5y = 25.5 (2)
From (1)
x = 7 - y
Substitute x = 7 - y into (2)
4.5x + 3.5y = 25.5 (2)
4.5(7 - y) + 3.5y = 25.5
31.5 - 4.5y + 3.5y = 25.5
- 4.5y + 3.5y = 25.5 - 31.5
-y = -6
y = 6
Substitute y = 6 into (1)
x + y = 7 (1)
x + 6 = 7
x = 7 - 6
x = 1
x = days he reads for 4.5 hours = 1 day
y = days he reads for 3.5 hours = 6 days
On a map 1 inch equals 5.2 miles. Two houses are 1.5 inches apart on the map. What is the actual distance between the houses?
Answer:
7.8 miles.
Step-by-step explanation:
5.2 x 1.5 = 7.8
1. Which of the following is NOT true about a square?
The angles have a sum of 180°.
The diagonals are congruent.
The diagonals are
perpendicular.
The diagonals bisect each other.
Answer:
the angles have a sum of 180°
Martin is driving to his uncle’s farm, which is 240 mi. from home. If he drives at a constant rate of 60 mph, how long will it take Martin to get to the farm? A. 2 hr. B. 4 hr. C. 5 hr. D. 6 hr.
Answer:
4 hours
Step-by-step explanation:
240 divided by 40
Answer:
4 hours
240 divided by 60
Step-by-step explanation:
Hope it helps
Expand (2+x)(2-x). If necessaty combine like terms
Answer:
Step-by-step explanation:
(2+x)(2-x)
2(2-x)+x(2-x)
4-2x+2x-x^2
4-x^2
The school store sells spiral notebooks in four colors and three different sizes. The table shows the sales
by size and color for 407 notebooks. What is the experimental probability that the next customer buys a
red notebook with 150 pages? Enter your answer as a simplified fraction.
100 Pages
150 Pages
200 Pages
Red
59
65
Green
34
49
17
Blue
27
55
25
Yellow
13
21
15
27
The experimental probability is
Answer:
3/20
Step-by-step explanation:
Eight friends want to play enough games of chess to be sure everyone plays everyone else. How many games will they have to play?
The number of games, the friends have to play is an illustration of combination.
They have to play 28 games to ensure that they all play
Given
[tex]n = 8[/tex] --- number of friends
[tex]r = 2[/tex] --- only two friends can play at a time
For everyone else to play, we will make use of the following combination formula;
[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]
So, we have:
[tex]^8C_2 = \frac{8!}{(8 - 2)!2!}[/tex]
[tex]^8C_2 = \frac{8!}{6!2!}[/tex]
Expand
[tex]^8C_2 = \frac{8 \times 7 \times 6!}{6! \times 2 \times 1}[/tex]
[tex]^8C_2 = \frac{8 \times 7}{2 \times 1}[/tex]
[tex]^8C_2 = 4 \times 7[/tex]
[tex]^8C_2 = 28[/tex]
Hence, the 8 friends have to play 28 games to ensure that everyone else plays
Read more about combinations at:
https://brainly.com/question/8018593
Identify who is correct
Describe the mistake that was made
Jack is wrong because he used the distributive property wrong. On the top equation, you see 2(4k - 3). The 2 multiplies into the (), so basically you have
2 x 4k - 2 x 3
which gives you
8k - 6
Answer:
Taniyah
Step-by-step explanation:
Taniyah is correct because you need to:
diistribute : 8k - 6 - 6k = 14
combine like terms : 2k - 6 = 14
add 6 to both sides : 2k - 6 + 6 = 14 + 6
simplify : 2k = 20
divide both sides by the same factor : 2k/2 = 20/2
simplify : k = 10
help me please!!!! asap Tia
Answer:
All of them should be marked sicne they are all less than 12.
Step-by-step explanation:
Answer:
m = 6, m = 1, m = 5, m = 7
Step-by-step explanation:
All the options are solutions of m < 12.
please i need this anwser the teacher is gonna litterly murder me
Answer:
65 degrees
Step-by-step explanation:
Answer:
1. obtuse angle 105 degrees
2. acute angle 60 degrees
Step-by-step explanation:
You sold your friend a raffle ticket for $1. If his ticket is selected from the 1000 sold, he will win
$500. What is the expected value of his net gain?
0 -$0.10
-$0.99
0 -$0.50
0 $0.05
Solve 4x^2-16x-84 by factoring, completing the square and, by quadratic formula(show work, pls)
Answer:
-500 (I think)
Step-by-step explanation:
please help i’ll give brainliest!!! thanks
Answer:
Lack of order
Step-by-step explanation:
Find the measure of angle b. PLZ HELP AND SHOW WORK
Answer:
1) A because of vertical angle theorem (VAT), which means that b=37 degrees
2) C because a right angle is= to 90 degrees. Take away 23, you get 67 degrees
3) B because the image shows a full angle, which is equal to 360 degrees. Take away 207 and 58, you get 95 degrees
4) D because a right angle is= to 90 degrees. Take away 44, you get 46 degrees
5) A because a right angle is=to 90 degrees. Take away 58, you get 32 degrees
Find the Difference: 0.325-0.01
Answer:
= 0.315
Step-by-step explanation:
hope this helps :)
i need help write expression in exponential from
Which expressions represent rational numbers? Check all that apply.
Answer:
The answer is 1.2 or 5
Step-by-step explanation:
Answer:
B,D,E
Step-by-step explanation:
I’m so confused help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
s = 8t
Step-by-step explanation:
every table delivers 8 seats, so s, the number of seats, will be 8 times the number of tables.
What is the probability of spinning an even number?
Answer:
3/5
Step-by-step explanation:
there are 6 even numbers and 4 odd so 10 in total which is 6/10 and that simplified is 3/5 PLS give me brainliest i beg
Please help ASAP
1.
Three times a number equals 40 more than five times the number what is the number
2.
A number equals four less than three times the number what is the number?
Answer:
Step-by-step explanation:
Why is the average approaching 3.5?
There are no remaining rolls, and the average approaching 3.5 is simply the current average of 3.51.
What is a mean?It is the average value of the set given.
It is calculated as:
Mean = Sum of all the values of the set given / Number of values in the set
We have,
To find the average approaching 3.5, we need to use the concept of the mean or expected value.
The expected value of a random variable is the long-run average value that we would expect to get if we repeat an experiment many times.
In this case, we can consider each roll of a die as an experiment, and the value of the die as the random variable.
Assuming that the die is fair and has six equally likely outcomes, each with a value between 1 and 6, the expected value of the die is:
E(X) = (1 + 2 + 3 + 4 + 5 + 6)/6 = 3.5
Therefore, if we roll the die many times, we would expect the long-run average value to be 3.5.
Now, if we have rolled the die 3200 times and the average so far is 3.51, we can calculate the sum of all the values rolled so far as:
Sum = (Average so far) x (Number of rolls) = 3.51 x 3200 = 11232
To find the average approaching 3.5, we need to calculate the average of the remaining rolls. Let's call the number of remaining rolls "n". Then we have:
Average approaching 3.5 = (Sum of remaining rolls) / n
We know that the total number of rolls is 3200, so the number of remaining rolls is:
n = 3200 - (number of rolls already rolled)
n = 3200 - 3200 = 0
Therefore,
There are no remaining rolls, and the average approaching 3.5 is simply the current average of 3.51.
Learn more about mean here:
https://brainly.com/question/23263573
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Which is the graph of f(x) = 2(3)x ?
Answer:
A
Step-by-step explanation:
the rest are inccorect
Ali runs 6 miles in 55 minutes. At the same rate, how many miles would he run in 44 minutes?
Answer:
4
Step-by-step explanation:
Convert (4, 3π/2) to rectangular form.
A) (0,4)
B) (0, -4)
C) (-4,0)
D) (4,0)
Answer:
(0, -4)
Step-by-step explanation:
The rectangular form is expressed as;
x = rcos theta
y = rsin theta
Given the coordinate (4, 3π/2)
r = 4
theta = 3π/2
Substitute
x = 4cos3π/2
x = 4cos270
x = 4(0)
x = 0
y= 4sin3π/2
y = 4sin270
y = 4(-1)
y = -4
Hence the required coordinate is (0, -4)
Pls help will mark brainliest
PLEASE NO LINKS thank you :)
Answer:
D
Step-by-step explanation:
Help how many questions did you answer correctly
Answer:
450
Step-by-step explanation:
you divide 90 by 20 and times in by 100
NEED HELP the answers are
42 days
30 days
180 days
24 days
365 days
6 days
This is confusing someone please help
Answer:
6 days
Step-by-step explanation:
The can relatively small... I would just say common sense.
hopefully this helps luv <3
HELP ASAPPPP, FIRST PERSON TO HAVE THE CORRECT ANSWER WILL HAVE BRAINLIEST
What is the distance between points (8,3) and (3, 1) on the coordinate plane?
OA. 3 units
OB. 21 units
OC.29 units
OD. 7 units
Answer:
√29
Step-by-step explanation:
You would use the distance formula in this case to solve the problem:
(8-3)^2+(1-3)^2=29
Now square root 29, leaving you with √29.
Answer:
5.39
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√(3 - 8)² + (1 - 3)²
√(-5)² + (-2)²
√25 + 4
√29
= 5.39
if ur good at graphs come here.
Answer:
Believe its D
Step-by-step explanation:
Answer:
(-6,-12) let me know if wrong
Step-by-step explanation:
Mark me brainliest plz
Please help me out plz
Answer:
RX is parallel to ST
Step-by-step explanation:
Answer:
Line RX and line ST are parallel to each other
Step-by-step explanation: