Answer:
60
Step-by-step explanation:
last year 1/5 of the class played sports, so s = (1/5) c
the next year, s increased by 5, c increased by 10 and the fraction changed to 1/4, so for the next year (s+5) = (1/4)(c+10)
To solve this we can substitute s = (1/5)c from the first equation into the second, so
((1/5)c + 5)=(1/4)(c+10), simplify both sides
(1/5)c + 5 = (1/4)c + 10/4, simplify 10/4 to 5/2
(1/5)c + 5 = (1/4)c + 5/2, multiply both sides by 20 to eliminate fractions (least common multiple of 2, 4 and 5)
4c + 100 = 5c + 50, subtract 4c, subtract 50 from both sides
50 = c, number of students in class last year was 50, this year is 10 more, so this year is 60
simplify the first expression 5(m+1)-1=
Answer:
-0.8/ -4/5
Step-by-step explanation:
5(m+1) -1 = 0
5m +5 -1 = 0
5m +4 =0
5m= -4
m= -4/5
a ratio table! need help asap!!! Time (secs): | 4 | 8 | 12 | 16 | 20 | Distance (miles): - the bottom row is empty and i need help to fill it - #b
someone please help me solve this. i'll give brainliest!
Answer:
1) 7x+5y
2) -19m +14r
3) 2 •(11b+20c)
4) 5•(2x-5)
5) 7•(m+1)
Step-by-step explanation:
You're welcome
Misty is making a necklace with
beads that are 0.75 inch long.
The necklace will be 15.75 inches
long. How many beads will
Misty use?
Answer:
21 beads
Step-by-step explanation:
15.75 divided by 0.75 = 21
sorry im late hope this helps out :) <3
Find the prime factorization of 1,148 using a factor tree
Answer:
Prime Factors of 1148 = 2, 2, 7, 41
Which is the same as = 2² x 7 x 41
How does 17- (-15) compare to 17-0
It is due there is 5 minutes please complete this. I will give brainlest, and extra points just complete this please
A jellyfish travels 3/5 mile in 1/6 hour and a walrus travels 5/6 mile in 3/10 hour.
Answer:
The jellyfish travels faster than the walrus
Step-by-step explanation:
Given data
A jellyfish travels 3/5 mile in 1/6 hour
Distance= 3/5 mile
time= 1/6 hour
speed= distance/time
speed= 3/5/1/6
speed= 3/5*6/1
speed= 18 mile per hour
a walrus travels 5/6 mile in 3/10 hour.
Distance= 5/6 mile
time= 3/10 hour.
speed= distance/time
speed= 5/6/3/10
speed= 5/6*10/3
speed= 50/18 mile per hour
Answer:
the first answer is 3 3/5
the second answer is 2 7/9
the third answer is “greater than” and then “jellyfish”
Ur welcome
A university considers giving only pass/fail grades to freshmen to reduce competition and stress. The student newspaper interviews faculty members and reports their opinions of the proposed policy. Suppose that 70% of the faculty favor the pass/fail proposal. Assuming 50 faculty members are interviewed. The goal is to find the probability that a majority (26 or more) will favor the proposal.
Answer:
0.9983 = 99.83% probability that a majority will favor the proposal.
Step-by-step explanation:
We use the normal approximation to the binomial to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
Suppose that 70% of the faculty favor the pass/fail proposal. Assuming 50 faculty members are interviewed.
This means, respectively, that [tex]p = 0.7, n = 50[/tex]
Mean and standard deviation:
[tex]\mu = E(X) = np = 50*0.7 = 35[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{50*0.7*0.3} = 3.24[/tex]
Probability that a majority (26 or more) will favor the proposal.
Using continuity correction, this is [tex]P(X \geq 26 - 0.5) = P(X \geq 25.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 25.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{25.5 - 35}{3.24}[/tex]
[tex]Z = -2.93[/tex]
[tex]Z = -2.93[/tex] has a pvalue of 0.0017
1 - 0.0017 = 0.9983
0.9983 = 99.83% probability that a majority will favor the proposal.
Line A is represented by the equation given below:
x + y = 4
What is most likely the equation for line B, so that the set of equations has infinitely many solutions? (1 point)
4x + 4y = 4
4x + y = 4
2x + 2y = 8
x + y = 8
Answer:
3
Step-by-step explanation:
2x + 2y = 4
dividing both sides by 2,we get
x + y = 4,which is the same line A
so this set of equations has infinitely many solutions as they intersect each other at infinite points i.e they overlap eachother
Use the Distributive Property to simplify the expression.
$\frac{1}{4}\left(8+x+4\right)=$
The diameter of a circle is 4 cm. Find its area in terms of \piπ.
Answer:
Area of circle = 4π.
Step-by-step explanation:
Given the following data;
Diameter = 4cm
Pie = π.
To find the area of the circle;
Radius = diameter/2
Radius = 4/2
Radius = 2cm
Area of a circle = πr²
Substituting into the equation, we have;
Area of circle = π*2²
Area of circle = 4π.
Can someone help me please ?
Step-by-step explanation:
For A
The name of two similar triangles is ABC and CED.
For b
If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.
Here
< BAC = < CED ( given)
<ACB = < ECD ( vertically opposite angles)
pls just solve its 7th grade not hard :)
help teacher graph only
9514 1404 393
Answer:
see attached
Step-by-step explanation:
A graphing calculator or spreadsheet program can plot these points for you. It's probably no more work to actually plot the points yourself on the given graphs than it is to type them into a program.
As you know, the x-coordinate is the horizontal distance from the y-axis. Positive is to the right.
The y-coordinate is the vertical distance from the x-axis. Positive is up.
Please help with either of these questions. Put the answer in the comments please
Answer:
2) distance = 4 km
Displacement = 4 km east
3) distance = 35 km
Displacement = 5 km north
Step-by-step explanation:
2. He runs for 3 km in the east direction and then stops.. He now runs another 1 km in the same direction then stops.. Thus,
Total distance covered = 3 + 1 = 4 km
Total displacement is how far he is from his starting point = 3 + 1 = 4 km east
3) Runs 20km north and then runs 15 km back from starting point.
Thus;
Total distance covered = 20 + 15 = 35 km
Total displacement is distance from starting point = 20 - 15 = 5 km north
Subtracted because an opposite direction was taken after the 20km back to her starting point.
a woman spent 3/5 of her weekly salary on rent and 25% of her weekly salary on food. Her food cost $2500. How much did she spend on rent
Answer:
$6,000
Step-by-step explanation:
If her food costed $2500 and was 25%, then she had $10,000 to begin with. 3/5 of $10,000 is $6,000, so her rent costs $6,000.
Answer:
$6,000 on rent
Step-by-step explanation:
Find her weekly salary by dividing 2500 by 0.25
2500/0.25
= 10,000
Now, find how much she spent on rent by multiplying 10,000 by 3/5
10,000(3/5)
= 6,000
So, she spent $6,000 on rent
saul's makes green paint by mixing bule paint and yellow paint. For every 4 gallons of green paint, he uses 3 gallons of bule paint. what is the correct number of each type of paint into the box that would make 16 gallons of paint the same shade of green
Answer:
12 gallons of blue 4 gallons of yellow
[tex] {3}^{x ^{2 - 1} } = \frac{ {27}^{ - x} }{3 } [/tex]
Answer:
-1/4
Step-by-step explanation:
The wages
w
(in £) Gordon earns is the number of hours he works
n
multiplied by his hourly rate
r
(in £ per hour). Enter a formula for Gordon's wages and enter the wage he would earn if he worked 5 hours at a rate of £10.40 per hour
n×r=£w
That is the equation you would use. Just put 5 in place of the N, and £10.40 in place of the R
7. If it takes 2 gardeners 6 hours to landscape a garden, how long would it take 3 gardeners?
12
8. Question 7 is an example of...
Direct proportion
Inverse proportion
Harriet wants to buy items worth $248.50. She is using a store coupon for 25 percent off her purchases. She has to pay 5 percent sales tax. Calculate the total cost of the items.
A.
$195.70
B.
$186.38
C.
$177.06
3
Choose all the expressions that are equal to
A.
8
15
5
11
B.
7
12
+
6
C. 5
6
-
1
12
D.
5. 1+
E.
7
20
3
5
Answer:
the answers (D)
Step-by-step explanation:
Store A sells 12 juice bottles for $4 and store B sells 18 juice bottles for $6. Are these rates equivalent? Explain your reasoning.
Answer:
these rates are equivalent.
12bottles/$4= 18bottles/$6= 3bottles/$1
Step-by-step explanation:
Find dy/dx by implicit differentiation.
7x^2 – 2y^2 = 16
dy/dx = ?
Answer: ANSWER DOWN BELOW
Step-by-step explanation:
PLEASE HELP What is the volume?
0.3 ft
0.3 ft
0.3 ft
cubic feet
[tex]0.3\cdot0.3\cdot0.3=0.0027[/tex]
Hope this helps.
18. Which of the following correctly shows 2,354,769 rounded to the nearest ten thousand?
as uve not shown no options it shud be round bout 2350000
Step-by-step explanation:
Answer:
2,350,000
Step-by-step explanation:
this is the answer I believe
Find the value of x that makes triangle CDE ~triangle FGH
Answer: 5
Step-by-step explanation:
4x + 10- 25
Determine if the following is discrete or continuous data: The function c =
12p gives the cost c based on the number of pizzas p.
Answer:
Step-by-step explanation:
Remember, discrete data is separate, by itself, but continuous data goes on and can have numbers in between. So this problem is c = 12p is the cost of pizzas, you can have 1 pizza, 2 pizzas, 10 pizzas, 30 pizzas, etc., but you can't have 2.1314552 pizzas or 4.5, etc., so the data is discrete. Think of the graph, you would not connect the dots if you were graphing this data.
A number, x, rounded to 1 decimal place is 3.7
Write down the error interval for x.
Answer: (3.65, 3.74)
Step-by-step explanation:
Now, when we round a number to a given decimal place, we need to look at the decimal to the left of the decimal place where we are rounding.
if it is 5 or more, we round up
if it is smaller than 5, we round down.
Then for example, if we want to round:
4.534
to the first decimal place, we need to look at the second decimal place.
we can see that it is a 2.
Then we round down, and get:
4.5
Now we know that, when rounding to the first decimal place, we have:
x = 3.7
Then the maximum value that x could have is:
x = 3.74 (because here we round down to 3.7)
and the minimum value that x could have is:
x = 3.65 (because here we round up to 3.7)
Then the error interval for x is:
(3.65, 3.74)
plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help plz help find the value of x
Answer:
5x = 120, so
x = 24
Answer:
x = 24
Step-by-step explanation:
5x = 120
x = 24
[Please give me a brainliest]