Answer: Boys = 24
Girls = 32
Step-by-step explanation:
Let the original number of boys = b
Let the original number of girls = g
The following can be further gotten from the question:
When 20 girls left, the equation can be written as:
b = 2(g - 20)
b = 2g - 40 ........ equation i
When 20 boys left, the equation can be written as:
(g-20) = 3(b-20) ......... equation ii
Substitute the value of b into equation ii and solve.
(g-20) = 3(b-20)
g - 20 = 3(2g - 40 - 20)
g - 20 = 3(2g - 60)
g - 20 = 6g - 180
6g - g = 180 - 20
5g = 160
g = 160/5
g = 32
Therefore, the original number of girls = 32.
The original number of boys will be:
b = 2g - 40
b = 2(32) - 40
= 64 - 40
= 24
The marching band walks 2/15 mile in 2.5 min how many minutes will it take to complete 1 mile
The water level at Champion Creek Lake is at 2127.96 feet , which is above leaks for measurement officials have decided to drain the leak at the rate of 3.4 feet per day until they goes to 2,083 feet that lower represents a full lake. How many days will it take?
beautiful. he conbeg Hu king
A scuba diver dove to 40 feet below the surface of the water. He then dove an additional 17 feet. What is the depth of the scuba diver? (Write an equation to represent this problem)
Totsakan and Lea each improved their yards by planting hostas and geraniums. They bought their supplies from the same store. Totsakan spent $178 on 14 hostas and 12 geraniums. Lea spent $71 on 7 hostas and 4 geraniums. What is the cost of one hosta and the cost of one geranium?
Answer:
The cost of one hosts is $5 and the coat of one geranium is $9
Step-by-step explanation:
Let the cost of one hosta be x
Let the cost of one geranium be y
If Totsakan spent $178 on 14 hostas and 12 geraniums, then the expression to represent this statement will be;
14x+12y = 178
7x+6y = 89 .... 1
Also if Lea spent $71 on 7 hostas and 4 geraniums, the the expression that represent the statement is;
7x+4y = 71..... 2
Subtract equation 1 from 2:
(7x-7x)+(6y-4y) =89-71
0+2y = 18
2y = 18
y = 18/2
y = 9
Substitute y = 9 into equation 1:
7x+6(9) = 89
7x +54 = 89
7x = 89-54
7x = 35
x = 35/7
x = 5
Therefore the cost of one hosts is $5 and the coat of one geranium is $9
1 pts
Find the value of x
30x
2
29x + 4
Pls answer ASAP
Answer:
x = 4
Step-by-step explanation:
30x = 29x + 4
subtract 29x from both sides
x = 4
A constant pull of 8.5 N at an angle above the horizontal drags a box along a horizontal floor through a distance of 17.4 m. If the pull does 65 J of work on the box while pulling it through the distance, what angle does the force make with the horizontal?
72.3°
24.5°
26.1°
63.9°
Answer:
63.9
Step-by-step explanation:
50 out of 125 eighth graders took summer school. what is the ratio eighth graders who took summer school to the total number of eighth grader
Answer:
1 : 2.5
Step-by-step explanation:
All you have to do is 125/50 to get 2.5. So that means for every 2.5 eighth grader there is 1 eighth grader in summer school.
Hope this helped!!
What is the value of n 10/2 = 4/n
1. 20
2. 35
3. 25
4. 30
Answer:
20
Step-by-step explanation:
We can simplify 10/2 = 5
5 = n/4
Multiply each side by 4
5*4 = n/4*4
20 =n
Answer: n = 20
Explanation: To solve for n in this proportion,
we simply use the means-extremes property.
Since 10/2 = n/4, we know that the product of the extremes,
(10)(4), equals the product of the means, (2)(n).
So we know that (10)(4) or 40 equals (2)(n) or 2n.
Dividing both sides by 2, 20 = n.
is 0.762050555854466 rational or irrational and why
Answer:
No
Step-by-step explanation:
This is because it is a forever ongoing number. Here is an examples 7, pie, 5, and 2
tell me if this helped pls mark brainliest
If you are riding your bike west to your friend’s house, and you ride the 1.25 miles in 5 minutes, what is your velocity, in miles per hour?
Answer:
v= 15miles/hr (west)
Step-by-step explanation:
This is physics, so I'll use the most common formula. v=d/t. Convert 5 mins to an hour. 5min/60min = 1/12hr.
v= 1.25 miles / 1/12hr
v= 15miles/hr (west). Don't forget the right arrow on the v.
Answer:
15miles/hr (west)
Step-by-step explanation:
- 10x - y = 27
- 4x - y = 9
Find the solution of the system equation.
Triangle A B C is shown with its exterior angles. Line C B extends through point D. Line B C extends to form exterior angle that is 135 degrees. Angle C A B is 75 degrees.
What is m∠ABC?
Answer:
78
Step-by-step explanation:
PLSS HELP
A trapezoid has a base of 4.5 inches, a height of 6 inches, and an area of 21 square inches. The equation below can be used to determine b2, the length in inches of the second base of the trapezoid.
12(4.5+b2)(6)=21
What is the length, in inches, of the second base of the trapezoid?
Answer:
The second base of the trapezoid b2 is 2.5 inches
Step-by-step explanation:
Here, we want to calculate the second base of the trapezoid.
Mathematically, the area of a trapezoid can be given as;
A = 1/2(a + b) h
where a and b represents the parallel bases and h is the height of the trapezoid
so this, we have from the question
1/2(4.5 + b2) * 6 = 21
3(4.5 + b2) = 21
divide both sides by 3
4.5 + b2 = 7
b2 = 7-4.5
b2 = 2.5 inches
do I need to multiple
Answer:
Um, Yes i think so.
Step-by-step explanation:
I HAVE 5 MINUTES PLEASE HELP ! ( slope )
Answer:
1/2x+b=y
1/2*4+b=3
2+b=3
b=1
1/2x+1=y
Step-by-step explanation:
Answer: Graph (4,3) like it says, then go up 1 and right 2. That would be (6,4). You can also go down 1 and left 2. That would be (2,3)
Step-by-step explanation: Your welcome :)
2. What is the difference between 4 and -5?
Answer: 9
Step-by-step explanation: 4 - (-5) = 9
The value of y is directly proportional to the value of x. If y = 35 when x = 140, what is the value of y when x = 70?
Answer:
y = 17.5
Step-by-step explanation:
Use the direct proportion equation, y = kx
Plug in the x and y values to solve for k
y = kx
35 = k(140)
0.25 = k
Then, plug in the k value and given x value into the equation, and solve for y
y = kx
y = 0.25(70)
y = 17.5
explain why
a negative divided by a negative is a positive
Answer:
it's law
Step-by-step explanation:
i think it is law of mathematics. isn't it?
A baseball player had 4 hits in 8 games. At this rate, how many hits will the baseball player have in the next 28 games?
Answer: I believe that the answer 14 hits
Step-by-step explanation:
8 games= 4 hits
16 games= 8 hits
24 games= 12 hits
28 games= 8 games divided by 4 so that would mean only 2 hits
12+2= 14 hits
I hope that you get it right (:
Answer:
14 hits
Step-by-step explanation:
Took the quiz
Edi plays 1/4 of a song in 1/8 of a minute how many minutes will he need to play a full song
Answer:
Let's see what to do buddy...
Step-by-step explanation:
[tex]first \: \: \: \frac{1}{4} \: \: \:of \:a \: song \: needs \: \frac{1}{8} \: \: minute. \\ \\ second \: \: \: \frac{1}{4} \: \: of \: a \: song \: needs \: \frac{1}{8} \: minute \: too. \\ \\ also \: the \: third \: and \: fourth \: \: \: \frac{1}{4} \: \: \: of \: a \: song \: need \: \frac{1}{8} \: minute \: . \\ \\ so \: we \: have \: completly \: have \: 4 \times \frac{1}{8} \\ \\ which \: means \: edi \: needs \: 4 \times \frac{1}{8} = \frac{4}{8} = \frac{1}{2} \: minute \: to \: play \: all \: the \: song. [/tex]
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Asia woke up late. It is 5:45 a.M. And is trying to decide if she has enough time to catch the bus. If it takes her 5 minutes to throw on an outfit, a minimum of twice as long to do her hair and make-up, and eight minutes longer than that to walk to the bus stop. Her bus driver regularly arrives at 6:15 am. Will she make it?
Answer:
Step-by-step explanation:
If Asia woke up by 5:45am and her bus regularly arrives at 6:15 am, the the total amount of time Asia needs to finish up to meet the bus is time within this interval of time i.e 30mintes.
Total time taken to dress up:
Time taken to throw an outfit = 5minutes
Time taken to do her hair and make up = 2(5) = 10 minutes
Time to walk to bus stop = 5+8 = 13minutes(8 minutes longer)
Total time she took to finish up and get to the bus = 5+10+13 = 28 minutes
Since the time used by Asia is less than the 30 minutes expected of her hence she will meet the bus
Answer:
She would be 3 minutes late.
Step-by-step explanation:
The time difference between 5:45 am and 6:15 am = 30 minutes
If it takes her 5 minutes to throw on an outfit = 5 minutes
A minimum of twice as long to do her hair and make-up = ≤ 5 × 2
≤ 10 minutes
Eight minutes longer than that to walk to the bus stop.
= 8 minutes longer than how long it takes her to do her hair and makeup
= 10 + 8
= 18 minutes
Total number of times it takes her to make it to the busstop
=( 5 + 10 + 18)minutes
= 33 minutes
Therefore, she will not make it because she would be 3 minutes late.
is this right? you’re supposed to find FH
Answer:
FH=7
Step-by-step explanation:
If the whole thing FG is 22 and HG is 15 you subtract 22-15 and get 7
Step-by-step explanation:
[tex]\huge\bold\purple{ 7 }[/tex]
Is it possible for a system of three linear inequalities to have a solution consisting of a
single point on the coordinate plane? If so, give an example. If not, explain why.
Answer:
no beacuse of the x and y coordinate which is two points
Step-by-step explanation:
As of May 1, 2016. Lynne's social media account has 1,000 followers, and the number of her followers is increasing by 100 per day. Dan's social media account has 200 followers, and the number
of his followers is doubling every two days.
Answer:
Lynne's social media account has 1,000 followers. Her followers are increasing by 100 per day. In the next 10 days her followers will reach to 2,000 followers.
Dan's social media account has 200 followers and his number of followers are doubled after every 2 days. This means he will have 6400 followers after 10 days.
Step-by-step explanation:
Dan's social media account is gaining speedy increase in followers as his followers are doubling every two days. Lynne's social media account is gaining 100 followers increase every day. This is slower than the follower that Dan is gaining.
Find the distance between the following two points:
(-5,0) and (-2,-1)
Answer:
It would be 3.16 units
the graph of f(x) = x^2 has been shifted into the form f(x) = (x-h)^2+k
What is the value of h?
Answer:
h=3
Step-by-step explanation:
if i had 4 pounds of sugar for $2 how much for 1 lb
Answer:
0.5
Step-by-step explanation:
4 pounds ÷$2=2
that means...
1 pound÷$2=0.5
your welcome lol.
Choose the expressions below that are equivalent to the following algebraic expression.
2(5x-3) + 4x
Select ALL that apply.
7x-5+ 4x
-6 + 14x
10x - 6+ 4x
11x-5
-5 + 11x
14x-5
Please help
Answer:
10x -6 +4x & -6 + 14x are equivalent to the algebraic Expression : 2(5x -3) + 4x
Step-by-step explanation:
First, you should Simplify the expression.
2(5x -3) + 4x = 10x -6 +4x <-- Here we distributed. We see this expression is an option, so you would choose that.
We Contiue:
10x -6 + 4x = -6 + 14x <-- here we added the like terms, 10x and 4 x
Next:
-6x + 14 = -2.3. <-- here we got our answer, but our choices are only expressions, so this is just an extra step.
Answer
-6 + 14x
10x - 6+ 4x
Step-by-step explanation:
A line passes through the point (4, –6) and has a slope of Negative three-fourths. Which is the equation of the line?
Answer:
y = -3/4x - 3
Step-by-step explanation:
...................
Answer:
A
Step-by-step explanation:
hope this helps :)
The ingredients are doubled in the large Totally Turkey Sandwich. On Wednesday, three times as many customers ordered the regular sandwich as the large sandwich. If 27 customers ordered the regular sandwich, how many total slices of turkey were used to make the sandwiches that day?
Answer:
45 slices of turkey used
Step-by-step explanation:
In order to figure out this problem we first need to calculate the total amount of sandwiches that were ordered. Since 27 regular sandwiches were ordered and we know that three times as many customers ordered the regular sandwich as the large sandwich. Then we simply divide 27 by 3 to find out how many large sandwiches were ordered.
27 / 3 = 9 large sandwiches.
Now, assuming that each regular sandwich only takes one slice of turkey, we can multiply 9 by 2 since each large sandwich takes double the slices and add that to 27 to calculate the total number of slices used in all of the sandwiches for that day.
(9*2) + 27 = s
18 + 27 = s
45 = s
There were a total of 45 slices of turkey used.