There are 22 girls and 32 boys in the class.
Ratio and proportion :Given that, there are 54 people in a class
and the ratio of girls to total people is [tex]2:5[/tex]
Number of girls in the class is,
[tex]=\frac{2}{5}*54=21.6[/tex]
In class, there are 22 girls.
Number of boys is, [tex]54-22=32[/tex]
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The perimeter of a rectangle is less than 10 inches. The length is x and the width is x − 5. If the solution is x < 5, then the length is less than 5. Is this a viable solution?
viable
non-viable?
Answer:
Its viable
Step-by-step explanation:
Answer:
non-viable
Step-by-step explanation:
I just did this quiz, and this is correct. Trust me.
PLEASE HELP!!!
solve for the unknown: 3^x=9^x+5, 27^4x=9^x+1, 5^x=25^3x+5.
Step-by-step explanation:
[tex]3^x=9^{x+5}\\\\3^x=\left(3^2\right)^{x+5}\qquad|\text{use}\ (a^n)^m=a^{nm}\\\\3^x=3^{2(x+5)}\iff x=2(x+5)\qquad|\text{use the distributive property}\\\\x=2x+10\quad|\text{subtract}\ 2x\ \text{from both sides}\\\\-x=10\qquad|\text{change the signs}\\\\\huge\boxed{x=-10}[/tex]
[tex]27^{4x}=9^{x+1}\\\\\left(3^3\right)^{4x}=\left(3^2\right)^{x+1}\\\\3^{(3)(4x)}=3^{2(x+1)}\iff(3)(4x)=2(x+1)\\\\12x=2x+2\qquad|\text{subtract}\ 2x\ \text{from both sides}\\\\10x=2\qquad|\text{divide both sides by 10}\\\\x=\dfrac{2}{10}\\\\\huge\boxed{x=0.2}[/tex]
[tex]5^x=25^{3x+5}\\\\5^x=\left(5^2\right)^{3x+5}\\\\5^x=5^{2(3x+5)}\iff x=2(3x+5)\\\\x=(2)(3x)+(2)(5)\\\\x=6x+10\qquad|\text{subtract}\ 6x\ \text{from both sides}\\\\-5x=10\qquad|\text{divide both sides by (-5)}\\\\\huge\boxed{x=-2}[/tex]
Which characteristics tell you that this graph shows a proportional relationship? Check all that apply
Answer:
2&4
2: A straight line can be drawn through the points.
4: The line connecting the points passes through the origin.
explanation: got it right
The ratio of boys to girls in a class is 7:5. There are 36 students in the class. How many
students are girls?
Answer:
There would be 15 girls and 21 boys
15 girls and 21 boys are in the class
List the angles in order from smallest to largest.
smallest to largest
Options are U, T,S place in order smallest to largest
Answer:
T, S, U
Step-by-step explanation:
Answer:
U S T
Step-by-step explanation:
The largest angle is going to be opposite the longest side. It stands to reason that the two arms that define the enclosed angle (t) have to have their arms stretched further away from each other in order to accommodate T. So T is the largest angle.
By a similar line of reasoning, the second largest angle is opposite the second largest side. S is the second largest angle.
The smallest angle is opposite the smallest side.
Lines AAA, BBB, and CCC show proportional relationships.
Which line has a constant of proportionality between yyy and xxx of 555?
The line that has a constant of proportionality of 5 between y and x is: line A.
How to Find the Constant of Proportionality?The constant of proportionality of a proportional relationship is found using the formula:
Constant of proportionality, k = y/x, where (x, y) is any point on the proportional graph.
Find the constant of proportionality for line A using a point, (1, 5):
Constant of proportionality, k = y/x = 5/1 = 5
Find the constant of proportionality for line B using a point, (3, 5):
Constant of proportionality, k = y/x = 5/3
Find the constant of proportionality for line C using a point, (3, 2):
Constant of proportionality, k = y/x = 2/3
Therefore, the line that has a constant of proportionality of 5 between y and x is: line A.
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PLEASE HELP ME IN MATHHH PLS
Answer:-83/25 and 27/40
Eileen mows her neighbors' lawns for a fee of $12. Eileen charges an additional $2 for every square meter she mows. Which function can be used to determine how many dollars, c, Eileen will make after mowing b square meters of grass? c = 12b + 2 c = 2b + 12 c = 14b c = 24b
WILL MARK BRAINLEST
Answer:c=2b+12
Step-by-step explanation:
Answer:
its c
Step-by-step explanation:
Someone knows the answer
Answer:
11/6
Step-by-step explanation:
when run is from 3 to 6 on the x-axis
raises from about 3 to 9 on the y-axis so is about
9-3/6-3 = 6/3=2
the closest fraction to 2 is 11/6
Someone please help me
Answer:
The answer is 5
do 6x5 to get 30 cuz those two sides r equal
Step-by-step explanation:
Find x if 120% of x is 600.
Answer:
x = 500
Step-by-step explanation:
100% = 500
20% = 100
120% = 500 + 100 = 600
6) 8,785,000,000 in scientific notation is ?
Answer:
8.785 x 10^9
Step-by-step explanation:
The instructions on your aspirin bottle say take two 200-milligram aspirin. How many grams is the total dose?
Answer:
400-milligram aspirin
Step-by-step explanation:
200x2= 400
What is the value of m? Please provide an explanation, thanks!
Answer:
∠m=124°
Explanation:
There are a few different ways that you could go about this but the simplest way is to first notice that Angle n is congruent to the angle above it. That tells us that n = 56 degrees. Because angle m and n are supplementary angles their sum needs to add up to 180. So if we subtract 56 from 180 we get 124 degrees, and there is your answer.
Hope this helps :)
2.8 = w - 4.9 w = _____
Answer:
-2.1
Step-by-step explanation:
Which is SMALLER, -6.3 or -6.1?
Hellp meee please I’m about to fail this subject!
Answer:
So first you have to do 12-2 since it's in parenthesis. It is 10. 5+4 is 9, and 9 times 10 is 90. 3 squared is 9, then you divide 90 by 9. The answer is 10.
I have no idea??? I'm 3rd grade.
Evaluate the expression |-12|
Answer:
it's 12
Step-by-step explanation:
when the number is between those boxes whether it's negative or positive, it's automatically a positive.
Meredith
says that 15.17 is greater than 15.8
because 17 is greater than 8. Do you
agree? Explain your reasoning
Answer:
No
Step-by-step explanation:
Because in the number 15.8, it is equal to 15.80. 80 is more than 17.
15.17 is not greater than 15.8. Meredith statement is wrong.
What is Number system?A number system is defined as the representation of numbers by using digits or other symbols in a consistent manner.
We need to compare both the numbers 15.17 and 15.80.
For comparing two number we need to check the integer part and decimal part.
The integer part is same for both the numbers. so let us move towards decimal part. in tenth place 15.17 has 1 and for 15.80 it has 8.
We know that 8 is greater than 1.
Hence 15.8 is greater than 15.17. Merediths answer is wrong.
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What is -3x - 9 + 15x
Add −3x and 15x.
12x−9
what is the answer to all of these
1) 8z + 4 - 3k when z=5 and k=8 =
2) 7s - 3b + 8 - 4 when s=7 and b=4 =
3) 6k + d when k=5 and d=7 =
4) 6r - 10/r when r=5 and z=3 =
5) 7 + 3(9x - 5w) when x = 6 and w=5 =
A credit card is 0.76 mm thick. How thick is a stack of 10*3 credit cards? Explain your reasoning.
Answer: 760 mm thick
Step-by-step explanation: Because 10 cubed equals 1000, just multiply .76 by 1000 and you get your answer.
1 point
A shirt is on sale for 40% off. The sale price is $12. How much was the
original price? *
20.00
16.80
19.20
8.00
Answer:
B
Step-by-step explanation:
0.4 x 16.8 or 40% off of 16.80 is 12
math
Match the answers
Answer:
No solution
Infinitely many solutions
One solution
Step-by-step explanation:
The first expression:
-2(3x - 1) = -6x -1
Expand the parentheses;
-6x + 2 = -6x -1
-6x + (-6x) = -1 -2
0 = -3
This problem has no solutions
Second expression:
2(3x-1) = 6x -2
Expand the parentheses;
6x - 2 = 6x -2
6x -6x = -2 + 2
0 = 0
This problem has infinitely many solutions
Third expression:
2(3x - 1) = -6x -2
Expand the parentheses;
6x -2 = -6x - 2
6x + 6x = -2 + 2
12x = 0
x = 0
This equation has only one solution
Solve using long division
(x² – 3x - 40) + (x+5)
The chosen topic is not meant for use with this type of problem.
However, if you simplify it, your answer is:
x^2 − 2x − 35
Adam is building a rectangular planter without a top. The planter will be 14 cm wide, 20 cm long, and 30 cm high. How much wood is needed to make the bottom and sides of the planter? (show working as well)
Answer: The surface area of the planter will be 120.5 square feet.
Step-by-step explanation: in our shape, we will have 5 sides. The base and the four sides going up from each edge of the base.
The base will be 7 x 5 = 35 square feet.
The front and back side will each be 7 x 0.75 = 5.25 square feet.
The left and right side will each be 5 x 0.75 = 3.75 square feet.
If we add up the 5 faces we get:
35 + 5.25 + 5.25 + 3.75 + 3.75 = 120.5 square feet
how does knowing the slope and y-intercept help you graph and write the equation of a line?
Answer:
It allows to to know y-intercept formula which is used to graph a line.
Step-by-step explanation:
Fred, is a skycap at the airport. He helps passengers load and unload their bags in front of the airport. He is paid $7.00 per hour. During an 8-hour shift, he averages $40 in tips. About how much does he earn per day?
Answer:
7x + 40 = total each day
7(8 hours) + 40 (tips)
56 + 40 = 96
$96 per day
Answer: $96
Explanation:
$7.00 * 8 = $56.00
$56 + $40 = $96
The depth y (in inches) of a lake after x years is represented by the equation y=0.2x+42 . How much does the depth of the lake increase in four years
Answer:
42.8 inStep-by-step explanation:
Step one:
given data
we are told that the expression for the depth of a lake after x years is given by
[tex]y=0.2x+42[/tex]
Required
The value of y when x= 4
Step two:
substitute the value of x in the expression to get y
[tex]y=0.2(4)+42\\\\y=0.8+42\\\\y=42.8\\\\[/tex]
After 4 years the depth will increase by 42.8 in
can someone please help me ??
Answer:
The answer is letter C.
Step-by-step explanation:
hope this helps