Given that, the total number of students in seventh and eighth grade combined is 584.
The number of students in seventh grade= 5/8 of the total number of students.
[tex]=\frac 5 8 \times 584=365[/tex]
As 4/5 of the total seventh-grade students participated in the track-and-field-event.
So, the number of seventh-grade students participated
[tex]= \frac 4 5 \times 365=292[/tex]
The number of students in the eighth grade 3/8 of the total number of students.
[tex]=\frac 3 8 \times 584=219[/tex]
As 7/8 of the total eighth-grade students participated in the track-and-field-event.
So, the number of seventh-grade students participated
[tex]= \frac78 \times 219=191.625.[/tex]
The number of students must be a counting number, but here, as per the given information, the number of seventh-grade students participated coming out a fractional number, so the given information is incorrect.
Although, as per the given data, the mathematical value of the total number of students participated from both the grade combined
=292+191.625
=483.625 (mathematically)
Again, in real life, the fractional value of the total number of students is not possible.
Answer:
Given that, the total number of students in seventh and eighth grade combined is 584.
Step-by-step explanation:
Find two consecutive odd numbers such that the sum of the larger number and twice the smaller number is 27 less then foir times the smaller number
Answer:
29 and 31Step-by-step explanation:
x - some integer
2x+1 - an odd integer (the smaller one)
2x+1+2=2x+3 - the next odd integer consecutive to 2x+1 (the larger)
2×(2x+1) - twice the smaller number
2x+3+2•(2x+1) -the sum of the larger number and twice the smaller number
4•(2x+1) - four times the smaller number
4•(2x+1)-27 - 27 less then four times the smaller number
2x + 3 + 2•(2x + 1) = 4•(2x + 1) - 27
2x + 3 + 4x + 2 = 8x + 4 - 27
6x + 5 = 8x - 23
-5 -5
6x = 8x - 28
-8x -8x
-2x = - 28
÷(-2) ÷(-2)
x = 14
2x+1 = 2•14 + 1 = 29
2x+3 = 2•14 + 3 = 31
Check: 31+2•29=31+58=89; 4•29-27=116-27=89
Which property was used to write the equation in step 2?
Answer:
It's the subtraction property of equality because you have to subtract.
Step-by-step explanation:
SOMEBODYY HELP ILL GIVE BRAINLYY......
Step-by-step explanation:
a^2+b^2 = c^2
C is the biggest number, so put in all the numbers in the equation then if it's equal then it's a right triangle.
example: 6^2 + 8^2 = 10^2
36 + 64 = 100
100 = 100
this one is a right angle because the two sides is equal to the hypotenuse(largest number).
Inspectors for a hospital chain with multiple locations randomly select some of their locations for a cleanliness check of their operating rooms. The inspectors check every operating room in the hospitals that were chosen. What sampling method was used?
Answer:
Cluster Random Sample
Step-by-step explanation:
The operating rooms were divided into (hospital locations) and inspectors sampled every operating room from some of the groups.
Sampling method is the method where the subset of an overall population is selected.
The sampling method used was cluster sampling
From the question, we understand that:
The inspectors select some locationsThen all selected locations was checkedThe above illustrates cluster sampling.
This is so because, cluster sampling involves breaking down a population into smaller size.
In this case, the smaller size are the locations that were selected.
Read more about sampling method at:
https://brainly.com/question/10733883
Can someone write a story for the slope: 10,1?
Answer: Answer:
Human trafficking is a modern form of slavery. It is an extreme form of labor exploitation where women, men and children are recruited or obtained and then forced to labor against their will through force, fraud or coercion.
Step-by-step explanation:
which graph represents the compound inequality -3<n<1
Answer:
D.
Step-by-step explanation:
n is between -3 and 1, with 3 and 1 not included.
You need open dots on -3 and 1, and shading in between.
Answer: D.
The Quik-Clean Car Wash charges $15 for a car wash plus $2.50 per gallon for unleaded gasoline. The Mighty Clean Car Wash charges $10 for a carwash plus $2.75 per gallon for unleaded gasoline. Josh is comparing the cost of having his car wash plus filling up his tank with gas at each business. How many gallons of gas would he need to purchase for the cost to be the same at each car wash?
Answer:
Josh would need to purchase 20 gallons of gas for the cost to be the same at each car wash
Step-by-step explanation:
We need to model both car wash's costs. The Quik-Clean Car Wash charges $15 for a car wash plus $2.50 per gallon for unleaded gasoline. If x is the number of gallons of unleaded gasoline. the total charges of this store are:
C1=15+2.5*x
The Mighty Clean Car Wash charges $10 for a carwash plus $2.75 per gallon for unleaded gasoline. Following the same procedure, their costs are:
C2=10+2.75*x
Josh wants to know how many gallons of gas will make both businesses charge the same. Equating both equations:
15+2.5*x=10+2.75*x
Simplifying:
-0.25x=-5
Solving:
x=-5/(-0.25)=20
Josh would need to purchase 20 gallons of gas for the cost to be the same at each car wash
Suppose that the volume of water in the rain barrel
decreased by 4 5/8 gallons in four minutes. What will be
the change in the volume of water after one minute?
Answer:
Step-by-step explanation:
A unit rate is a rate for one of something.
It is written as a ratio with a denominator of one.
The change in the volume of water in one minute is 1 5/32 gallons.
What is a unit rate?A unit rate is a rate for one of something.
It is written as a ratio with a denominator of one.
We have,
4 5/8 gallons decrease in 4 minutes.
This can be written as:
4 5/8 gallons = 4 minutes
37/8 gallons = 4 minutes
Dividing both sides by 4 we get,
(37/8) / 4 = 4/4 minutes
37/(8x4) = 1 minute
37/32 = 1 minute
1 5/32 gallons = 1 minute
Thus the change in the volume of water in one minute is 1 5/32 gallons.
Learn more about unit rates here:
https://brainly.com/question/28394073
#SPJ2
CAN SOMEONE PLS HELP ME ASAP?!??
Answer:
A. is the correct answer.
Step-by-step explanation:
Convert the fraction into a decimal by dividing
1. 4 / 5
2. 1 / 6
3. 5 / 12
4. 8/11
5. 22 / 95
Step-by-step explanation:
1. 0.8
2. 0.6 repeted
3. 0.146 the 6 is repeated
4. 0.72 repeated
5. 0.23157894..
Which one doesn't belong? Why?
Answer:
i think C b/c it don't have an arrow going left or right
Step-by-step explanation:
brainliest?
Answer:
C.
Step-by-step explanation:
All of them are rays of a number line but C just shows a point on the line.
Hope that helps and have a great day!
Informative Speech (10 Points)
Make a report about the different types of Spoken Text with visual aids.
Please help me :(
What is 24 + 3 + 4 + 234 + 1593 + 21 - 90 + 89 ( free 45 points) for the first one!
Answer:
Step-by-step explanation:
The answer is 1878
Answer:
1878
Step-by-step explanation:
31+1848+21-90+89=
1879+21-90+89=
1900-90+89=
1810+68=q878
At the beginning of the business day, a bank's vault held $575,900. By the end of the day, $(3.5 103) had been added to the vault. How much money did the banks vault hold at the end of the business day write ur answer in standard form
3.5*10^3=3,500
3,500+ 575,900=579,400
The bank vault will hold $575,900 + $3.5 x 10^3 = $579,400 at the end of the business day.
What are integers?An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero.
Now it is given that,
Money in the bank vault at the beginning of the day = $575,900
Money added in the vault at the end of the day = $3.5 x 10^3 = $3,500
Since money is added in the vault thus it is gain.
So, Money added in the vault at the end of the day = + $3,500
Thus, Money at the end of the business day = $575,900 + $3,500 = $579,400
Thus, the bank vault will hold $575,900 + $3.5 x 10^3 = $579,400 at the end of the business day.
To learn more about integers :
brainly.com/question/4889093
#SPJ2
A scientist studied the migration patterns of two types of whales. The humpback whale traveled 2,000 miles in 25 days. The gray whale traveled 2,250 miles in 30 days. Assuming the humpback whale travels the same distance each day, what is the unit rate for the humpback whale in miles per day?
Answer:
it is 80 miles
Step-by-step explanation:
2000 divided by 25 is 80 therefore you multiply 80 x 30
Round 985,622 to the nearest hundred.
Answer:
985,600
Step-by-step explanation:
because it is 22 you round down
Answer:
985,600
Step-by-step explanation:
hope that helps
Maura runs 5 miles in 1.25 hours. Ava runs 3 miles in 50 minutes (about 0.83
hours), who runs faster? Justify your answer with a unit rate.
Answer:
Avas unit rate is for a mile 16.6666666667 minutes. while Mauras is 15 mins
Step-by-step explanation:
It would take Ava 16.6666666667 to run a mile, while it would take Maura 15 minutes to run a mile.
choose the scenarios represented by 2/5
A. Five bottles of water are shared equally between two teammates
B. Two people share five oranges equally
C. Two yards of fabric are used to make five place matts
D. Five granola bars are divided equally between two friends
reduce [tex]\frac{54}{81}[/tex]
Answer:
[tex]\text{The reduced fraction is } \frac{2}{3}[/tex]
Step-by-step explanation:
Fraction Reduction
To reduce a fraction, we try to divide both the numerator and denominator by the very same number until no more numbers can be found.
The fraction to reduce is:
[tex]\displaystyle \frac{54}{81}[/tex]
Since the denominator is odd, we cannot divide by 2, but we can divide by 3:
[tex]\displaystyle \frac{54}{81}=\frac{18}{27}[/tex]
We divide by 3 again:
[tex]\displaystyle \frac{18}{27}=\frac{6}{9}[/tex]
We divide by 3 one last time:
[tex]\displaystyle \frac{6}{9}=\frac{2}{3}[/tex]
[tex]\text{The reduced fraction is } \frac{2}{3}[/tex]
The price of a car has been reduced from $22,500 to $16,650. What is the percentage decrease of the price of the car?
Answer:
26%
Step-by-step explanation:
$22,500-$16,650= $5,850
I started by multiplying buy 0.20 from $22,500 and then Jumped to 0.25% and when I realized i was close I multiplied $22,500 *0.26 and matched the decreasing price of $5,850.
$22,500*0.20 = $4,500 off
$22,500*0.25 = $5,625 off
$22,500*0.26 = $5,850 off
please help will give brainliest if correct! :)
Renee adds 5 to a number, then multiplies the sum by-2. The result is 8. Write and solve an equation to find the number, x. What is the number?
- 3x + 9 - 4 = x + 3 + 2x
✩ Answer:
✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*
[tex]\bold{Hello!}\\\bold{Your~answer~is~below!}[/tex]
✩ Step-by-step explanation:
✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*
✺ Subtract [tex]4[/tex] from [tex]9[/tex] to get [tex]5[/tex]:
[tex]-3x+5=x+3+2x[/tex]✺ Combine [tex]x[/tex] and [tex]2x[/tex] to get [tex]3x[/tex]:
[tex]-3x+5=3x+3[/tex]✺ Subtract [tex]3x[/tex] from both sides:
[tex]-3x+5-3x=3[/tex]✺ Combine [tex]-3x[/tex] and [tex]-3x[/tex] to get [tex]-6x[/tex]:
[tex]-6x+5=3[/tex]✺ Subtract [tex]5[/tex] from both sides:
[tex]-6x=3-5[/tex]✺ Subtract [tex]5[/tex] from [tex]3[/tex] to get [tex]-2[/tex]:
[tex]-6x=-2[/tex]✺ Divide both sides by [tex]-6[/tex]:
[tex]x=\frac{-2}{-6}[/tex]✺ Reduce the fraction [tex]\frac{-2}{-6}[/tex] to lowest terms by canceling out the common factor, [tex]-2[/tex]:
[tex]x=\frac{1}{3}[/tex]
-OR-
✺ Reduce the fraction [tex]\frac{-2}{-6}[/tex] to lowest terms by dividing the numerator and denominator:
[tex]x=0.333333333[/tex] (This is a repeating decimal.)✩ Answer:
✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*
✺ Decimal Form: [tex]x=\frac{1}{3}[/tex]
✺ Fraction Form: [tex]x=0.333333333[/tex]
[tex]Hope~this~helps~and,\\Best~of~luck!\\\\~~~~~-TotallyNotTrillex[/tex]
"ටᆼට"
The distributions of heights of 1000 men and 1000 women selected at random from the population of a large metropolitan area are shown. Compare the heights of the men and women by comparing the mean and the spread of the data sets.
Answer:men
Step-by-step explanation: i cant
Answer:
mrfkgrglrbrtkhm
Step-by-step explanation:
Hannah wants to buy a $540 camera. She can save $40 each week from her paycheck. However, before Hannah can buy the camera, she must give her brother $60 that she owes him. For how many weeks will Hannah need to save before she can pay back her brother and buy the camera?
Answer:
w = 12
Step-by-step explanation:
Create formula:
540 = 40w - 60 where 540 is the cost of the camera, 40 is the amount saved, w is the number of weeks, 60 is the amount owed
Solve for w
540 = 40w - 60: subtract 60
480 = 40w: divide by 40
w = 12
Susan and John are buying cold drinks for a neighborhood picnic. Each person is expected to drink one can of soda. Susan says that if you multiply the unit price for a can of soda by the number of people attending the picnic, you will be able to determine the total cost of the soda. who is right and why?
Answer:
suasan
Step-by-step explanation:
suasan is right becouse thats what you have to do
Which relation is also a function?
The answer is A
I put D bc someone said it was D and i got it wrong and it showed the answer was A so yeah ;-;
I really need some help with this
Answer:
f(x)= -(x-3)^2+1
Step-by-step explanation:
vertex form is a(x-h)^2+k where (h,k)
first find the vertex of the quadratic function which is (3,1)
second substitute h with 3, k with 1, and a with -1 as it was a in the quadratic function
5-x/3=x/2-5 plzzzzzzz
Answer:
There are no solutions
Step-by-step explanation:
Evaluate f(1/2) if f(x)=-3x^3 + 2x^2. Enter fractions using “/“
f(1/2)=
