45 boys, 27 girls
============================================================
Explanation:
g = number of girls
g+18 = number of boys, since there are 18 more boys than girls
For example, if g = 7, then g+18 = 7+18 = 25. In this example, we have 7 girls and 25 boys. The problem with this example is the ratio of boys to girls is 25:7 which is not equal to 5:3
We could use trial and error until we land on the solution, or we can use algebra as shown in the next section.
-------------------
The ratio of boys to girls is 5:3, meaning
(number of boys)/(number of girls) = 5/3
which turns into
(g+18)/g = 5/3
after we make the proper substitutions
Let's solve for g
(g+18)/g = 5/3
3(g+18) = 5g
3g+54 = 5g
54 = 5g-3g
54 = 2g
2g = 54
g = 54/2
g = 27
There are 27 girls.
This leads to,
g+18 = 27+18 = 45
So there are 45 boys
In total, we have 27+45 = 72 people
-----------------------------
Checking the answer:
The claim is that 45/27 is the same as 5/3
For now assume that claim is true. Set the fractions equal to each other and use cross multiplication like so
45/27 = 5/3
45*3 = 27*5
135 = 135
The third equation has the same thing on both sides, so it's a true equation. This must mean the first equation is true as well. Therefore, 45:27 and 5:3 are the same ratio and the answer is confirmed.
You could also use your calculator to note that
45/27 = 1.667
5/3 = 1.667
both decimal values are approximate.
The people there are in total of 72 students
Let the ratio of boys to girls be 5x: 3x
The ratio of boys to girls in a group is 5:3.
What is the formula?
no. of boys = 18 + no. of girls
=> 5x = 18 + 3x
=> 5x - 3x = 18
=> 2x = 18
=> x = 18/2
x= 9
No. of boys = 5x
No. of boys= 5 × 9
No. of boys= 45
No. of girls = 3x
No. of girls= 3 × 9
No. of girls= 27
Total = 45 + 27
Total= 72
Hence, there are 72 students there.
To learn more about the ratio visit:
https://brainly.com/question/2328454
#SPJ2
Have you ever devised a way to solve a problem? How?
Answer:
What kind of problem?
Step-by-step explanation:
Find the domain and range for f(x)=pi cos(x)
Domain of f(x) = pi cos x is ALL REAL NUMBERS.
The range of f(x) = pi cos x is [-1, 1].
Write about a
way
how
you have used mathematics inside or outside of school. *
Plsss help it is important
Answer:
I have used mathematics at the store when i am buying something.
Step-by-step explanation:
x is an integer and satisfies the following inequality. 5(x+4)<32 What is the maximum possible value for x?
a.6
b.3
c.2
d.0
Answer:
c.2
Step-by-step explanation:
5(x+4)<32
5(2+4)<32
10+20<30
I NEED HELP ASAP Identify the property used:
144x12=12x144
Answer: COMMUTATIVE PROPERTY OF MULITIPLICATION
Step-by-step explanation: the commutative property is when the numbers are basically swapped
Gl on your assignment :)
If it takes 2 cups of sugar for 24 cookies, how many cups of sugar will it take for 72 cookies?
Answer:
6
Step-by-step explanation:
72/24=3
3*2=6
10 + what equals -6.2
PLEASE HELP ME ASAP!!!!!!!!!!!!;))
Solve for w
-w + 181 = 128
w = ____
in triangle ABC with vertices A(4,5),B(-2,1) and C(0,3),E and F are midpoints of sides AB and AC resp . then, find coordinates of E and F
Answer:
The answer is
E=(1, 3)
F=(2,4)
Step-by-step explanation:
When E is midpoint of AB
Then
[tex]e = ( \frac{4 + ( - 2)}{2} . \frac{5 + 1}{2} ) \\ = (1.3)[/tex]
By this way we can find F
[tex]f = ( \frac{4 + 0}{2} . \frac{5 + 3}{2} ) \\ = (2.4)[/tex]
I am a math teacher If you need any explanation you can communicate with me on Whats on this number +201557831028
mehjgsgwqididhdgascccknska
Answer:
Yo, thx for the free points man
Step-by-step explanation:
James recently got a credit card. The APR on the card is 19.8%. What is the monthly interest rate?
A. 1.65%
B. 7.8%
C. 12%
D. 19.8%
The answer is A.
Step-by-step explanation:
ARP means Annual Percentage Rate. Annual means yearly and there are 12 months in a year so divide 19.8 by 12 and you get 1.65.
solve for x!!!!!!!!!!!
Answer:
22.65728
Step-by-step explanation:
29*tan(38 degrees) = 22.65728
Noah and Lin are marketing paper cones to hold popcorn to hand out at parent math night. They want the cones to hold 9 cubic inches of popcorn. What are two different possible values for height h and radius r for the cones?
if h=3, then r=
if r=2, then h=
Answer: r = 1.69 inches
h = 2.15 inches
Step-by-step explanation: Volume of a solid is the amount of space contained within a solid.
Volume of a cone is directly proportional to radius and height:
[tex]V=\frac{1}{3}\pi r^{2}h[/tex]
They want the cones to hold the same volume of 9 cubic inches.
If height is 3:
[tex]9=\frac{1}{3}\pi r^{2}3[/tex]
[tex]\pi r^{2}=9[/tex]
[tex]r^{2}=2.864[/tex]
r = 1.69 inches
When height is 3, radius is 1.69 inches for a cone to have 9 cubic inches of volume.
If radius is 2:
[tex]9=\frac{1}{3}\pi (2)^{2}h[/tex]
[tex]h=\frac{9(3)}{4 \pi}[/tex]
h = 2.15 inches
If radius is 2 inches, height of the cone is 2.15 inches.
Is
Y=-3/4x -2
Y=3/4x+1
One solution many solution or no solution
Solve the simultaneous equations
5x + 3y = 41
2x + 3y = 20
Do not use trial and improvement
The solution to the system of equation is (7, 2)
Using the simultaneous equation:
5x + 3y = 41
2x + 3y = 20
using elimination method
Subtract equation 1 from 2 to have:
5x - 2x = 41 - 20
3x = 21
x = 21/3
x = 7
Substitute x = 7 into equation 1 to get y
5x + 3y = 41
5(7) + 3y = 41
35 + 3y = 41
5y = 41 - 35
3y = 6
y = 6/3
y = 2
Hence the solution to the system of equation is (7, 2)
Learn more here: https://brainly.com/question/15165519
Please help me with this first answer gets brainliest
Answer:
multiply both sides by 17
your supposed to do the opposite of the symbol given
Step-by-step explanation:
Which expression is equivalent to (60)2 – (12)?? (60 – 12)
(60 - 12) (60 - 12)
(60 + 12)(60 – 12)
(60 + 12)
Answer:(60 + 12)(60 – 12)
Step-by-step explanation:
A truck that is 10 ft. by 12 ft. by 8 ft. carries cube shaped boxes that have a
length of 1.5 ft. How many of these boxes can this truck hold?
Answer:
284.4
Step-by-step explanation:
Divide all numbers by 1.5. example: (10)1.5(12)1.5(81.5= 284.444444 but I rounded it to 284. You're welcome
284 boxes in the shape of the cubes can be fitted in the truck.
If a truck is fitted fully with the cubes, volume of the truck will be equal to the volume of cubes to be fitted.
Dimensions of the truck given in the question,
Length = 10 feet, width = 12 feet and height = 8 feetSince, volume of a cuboid (shape of a truck) is given by the expression,
Volume = Length × Width × Height
Therefore, volume of the truck = 10 × 12 × 8
= 960 feet³
Volume of a cube is given by the expression,
Volume = (side)³
Therefore, volume of the cube with side length 1.5 feet will be,
Volume of a cube = (1.5)³
= 3.375 cubic feet
Let the number of cubes fitted in the truck = x
Therefore, volume of 'x' cubes = (3.375x) feet³
Since, volume of the truck = Volume of the cubes fitted
3.375x = 960
x = [tex]\frac{960}{3.375}[/tex]
x = 284.44
x ≈ 284
Therefore, 284 boxes in the shape of the cubes can be fitted in the truck.
Learn more,
https://brainly.com/question/14912884
the volume of a rectangular prism is 36x6y8. the length of the prism is 4x3y5 and the width of the prism is 3xy2. what is the height of the prism?
Answer:
need the points sorry
Step-by-step explanation:
jesus
A number is 12 more than the other. Find the numbers if their sum is 48
Answer:
let one number be x and the other be x + 12
sum = 48
x + x + 12 = 48
2x + 12 = 48
2x = 48 - 12
2x = 36
x = 36 by 2
x = 18
therefore x = 18 and x+12= 18+12=30
so the answer is 18 and 30
Have a good day! ^^
Step-by-step explanation:
If yz = 0.7, what is the measure of α to the nearest degree?
Answer:
.9
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
[tex] \large \boxed{v > - 1}[/tex]
Step-by-step explanation:
Given the Inequality:
[tex] \large{ \frac{1}{3} (v -2) < v}[/tex]
Step 1
Multiply the fraction or 1/3 in the expression.[tex]\large{ \frac{1}{3} v - \frac{2}{3} < v}[/tex]
Step 2
Multiply the whole Inequality by 3 to get rid of the denominator.[tex] \frac{1}{3} v(3) - \frac{2}{3} (3) < 3(v) \\ v - 2 < 3v[/tex]
Step 3
Solve the Inequality for v-term by making v as the subject.[tex] - 2 < 3v - v \\ - 2 < 2v \\ \frac{ - 2}{2} < v \\ - 1 < v \\ v > - 1[/tex]
Hope this helps! If you have any questions that are related to the answer, feel free to use "Comment" feature!
MORE KHAN ACADEMY! HELP ME PLEASE!
6/3+(-1/6)=?
Answer:
[tex]1\frac{5}{6}[/tex]
Step-by-step explanation:
6/3 + (-1/6) = 2 + (-1/6) = 2 - 1/6 = [tex]1\frac{5}{6}[/tex]
Answer:
If these are fractions the answer is 1 5/6
If they are not fractions the answer is 1.83
A clerk at a local camera shop earns a 5% commission on all sales. How much commission does the clerk earn on a $500 sale?
Answer:
she earns $25.00 commission
Step-by-step explanation:
.05×500=25
what is the slope and y-intercept of y=2x-3
Answer:
slope=2x, y-intercept=-3
Step-by-step explanation:
When in slope intercept, the slope (m) is always the x (and whatever number is in front of it), and the y-intercept (b) is at the end of the equation.
plz will mark as brainliest
Answer:
30
Step-by-step explanation:
1/2 x (a+b) x h = area
1/2 x ( 40 + x ) x 50 = 1750
1/2 (40 + x )= 1750/50
20 + 1/2x = 35
1/2 x = 35 - 20
x = 15 x 2
= 30
I hope this is right :)
YOU AINT GOT THE ANSWERS MAN IMAO
please l, I really need help like ASAP. my thing ends in 5 minutes!!!!
Answer:
it would be (-7,-6)
x=-7, y=-6
Step-by-step explanation:
Which expression is equivalent to the expression below?
2(6k+4)−4(2+2k−1)
-------------------------------------------------------------------------
a} 18+48k
b} 14k−1
c} 4k−4
d} 4+4k
Answer:
D. 4+4k
Step-by-step explanation:
(12k +8) - (8+ 8k - 4)
12k +8 - 8 - 8k + 4
4k +4
d}4+4k
2(6k+4)-4(2+2k-1) writing down the question
12k+8-8-8k+4 multiplying the numbers by the coefficients
12k-8k+8-8+4 collecting like terms
4k+4 the answer
20.8 = 4( z+1.1)
What is Z ?
Answer:
z = 4.1
Step-by-step explanation:
(4.1 + 1.1)
(5.2)
4(5.2) = 20.8
Someone plz help me I will give brainliest
Answer:
2.25x2+2x1.00+1.50=8, 10-8 =$2.00
Step-by-step explanation:
Answer:
5.5
Step-by-step explanation: