9) There are six girls and 12 boys in Ms. Jeffry's environmental club. She wants to divide the students into groups with the same number of boys and the same number of girls in each group. What is the maximum number of groups she can make? *
No . of girls in Ms. Jeffry's environmental club = 6
No . of boys in Ms. Jeffry's environmental club = 12
To find the maximum number of groups she can make , we have to find the highest common factor ( HCF ) of the number of boys and girls in her club .
Factors of 6 = 1 , 2 , 3 and 6
Factors of 12 = 2 , 3 , 4 , 6 and 12
Hence the highest common factor of 6 and 12 are 6 .
Therefore , the maximum number of groups Ms . Jeffry can make where the number of girls and boys are same are 6 .
if there are 8 boys and 48 girls in a room, fill out all of the possible ratios of boys to girls that could be made?
Answer:
1:6
Step-by-step explanation:
8:48 the ratio
48/8 = 6 First you divide in this case both sides can be divided by 8, giving the answer in the most simplest form.
At 5:30 a.m., a thermometer indicates the temperature is 15 degrees below zero Celsius, -15"C. At 11:00 am., a thermometer indicates the temperature is 3 degrees above zero Celsius, 3'C. What integer represents a temperature of 2 degrees below zero Celsius?
How do you solve this equation? x/2 - x = x/4 + 6
Answer:
x= - 8
Step-by-step explanation:
multiply both sides by 4 to get rid of the fractions. you should then get:
2x-4x=x+24
then get all the x terms to one side by subtracting by x on each side:
2x-4x-x=24
then simplify:
-3x=24
divide by -3 on each side:
x= - 8
please hellp me and give me a real answer! I MARK BRAINLEST
Answer:
The answer is
X+150 >_ 1000
The Rodriguez family spends 18% of their monthly income on going out to eat. What is the equivalent fraction of the family’s budget that is spent going out to eat?
Answer:
9/50
Step-by-step explanation:
Which expression uses the associative property to make it
easier to evaluate 6(1/3•7/5)?
A. (6•5/7)1/3
B. (6•1/3)7/5
C.6(7/5•1/3)
D.3(1/6•7/5)
Answer:b
Step-by-step explanation:
The associative property for the expression is (6 • 1/3)7/5.
What are the Properties of Multiplication?Certain rules that are used while multiplying numbers are known as the characteristics of multiplication. All types of mathematical expressions, whether they be algebraic expressions, fractions, or integers, can be solved thanks to these features, which make it simple to simplify expressions.
Given expression 6(1/3 • 7/5),
to write its associative property
The Associative Property of Multiplication states that altering the way the numbers are grouped has no impact on the result of the multiplication.
a(b . c) = (a . b)c
6(1/3 • 7/5) = (6 • 1/3)7/5
Hence correct expression for the property is option B, (6 • 1/3)7/5.
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The domain of this function is {-2, 3). What is the minimum value in
the range of this function?
f(x) = -2x + 5
A: {-1}
B: {9}
C: {11}
D: {-11}
39.99+0.45x=44.99+0.4x
Answer:
x=100
Step-by-step explanation:
39.99+0.45x=44.99+0.4x
0.45x=5+0.4x
0.05x=5
x=100
passes through (-6,-1) and is parallel to y=-2/3x+1
Nicolas is setting up water stations for a 10-mile run. He already has the first one set up 8 miles from the starting line. He needs to set up two more that are 1.5 miles on either side of the first water station. Where will he put the two additional water stations?
A number line divided into increments of 1 and labeled 0 through 10. The number 8 is labeled with Nicolas.
The absolute value equation that models this situation is |x –
|=
.
The two additional water stations will be
and
miles from the starting line.
Answer:
Step-by-step explanation:
The two additional water stations will be 6.5 miles and 9.5 miles away from the starting line.
Given Nicolas is setting up 3 water stations for a 10-mile run.
He already has the first one set up 8 miles from the starting line. He wants to set up two more that are 1.5 miles on both side of the first water station.
We have to calculate the distance of 2 other water station from starting point.
Now A number line divided into increments of 1 and labeled 0 through 10. The number 8 is labeled with Nicolas.
The absolute value equation that models this situation is |x –8 |=1.5
The two additional water stations will be (8-1.5) miles or 6.5 miles and other will be (8+1.5) or 9.5 miles away from the starting line.
The two additional water stations will be 6.5 miles and 9.5 miles away from the starting line.
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please help its ok if you dont know this
Answer:
11/8
Step-by-step explanation:
Answer:
11/8
Step-by-step explanation:
What is −15÷3/5?
-25
-9
-1/9
-1/25
Answer:
-25
Step-by-step explanation:
i took the test
what is the length of a cube with 27 ft
Answer:
3
Step-by-step explanation:
27=3^3
=3*3*3
27=27
i think it is clear &i hope it helps you
Is each pair of equations equivalent? explain.
4y+2x=-7
2y-6x=8
All of the following expressions are equivalent except _____.
x + (-2)
-2 + x
x - 2
2 - x
Morgan is in the business of manufacturing phones. She pays a cost of $200 per phone produced for materials and labor and also must pay a daily fixed cost of $400 to rent the building and equipment. Make a table of values and then write an equation for C,C, in terms of p,p, representing total cost, in dollars, of producing pp phones in a given day.
A linear equation is an algebraic equation of the form [tex]y=mx+b[/tex]. , where m is the slope and b is the y-intercept.
Total cost represented by equation, [tex]C=200x+400[/tex]
Let number of phones is represented by x .
Since, She pays a cost of $200 per phone produced for materials and labor
For x phones, she will pay = 200x
Since, she also pays daily fixed cost of $400 to rent the building and equipment
Therefore, total cost is represented by equation shown below,
[tex]C=200x+400[/tex]
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How many gallons equal 8 quarts?
2 gallons
4 gallons
12 gallons
32 gallon
its 2 gallons
4 would be 16
12 would be 48
32 would be 128
Four students are determining the probability of flipping a coin and it landing head's up. Each flips a coin the number of times shown in the table below.
Student
Number of Flips
Ana
50
Brady
10
Collin
80
Deshawn
20
Which student is most likely to find that the actual number of times his or her coin lands heads up most closely matches the predicted number of heads-up landings?
Answer:
Collin with 80
Step-by-step explanation:
Because he has the most flips, therefor he can most closely predict the number of heads up landings
Answer:
The correct answer is C.
Step-by-step explanation:
Collin is most likely to find that the actual number of times his coin lands heads up most closely matches the predicted number of heads-up landings.
Hopefully, this helps! :D
Ask your question below!
The probability that a randomly-selected person at a show has seen the band play live before is 50%. A "superfan" is defined as someone who has seen the band play live at least 5 times. The probability that a person at a show is a "superfan" is 30%. Two people are selected at random. What is the probability that both people have both seen the band perform live before, and are "superfans?"
Answer:
0.25 and 0.09
Step-by-step explanation:
The probability that a randomly-selected person at a show has seen the band play live before is 50%=0.50
The probability that a person at a show is a "superfan" is 30%=0.30
Two people are selected at random.
The probability that both people have both seen the band perform live before
= The probability that the first person has seen the band live before and the second person also has seen the band live before.
=0.50 x 0.50
=0.25
Similarly, the probability that both are "superfans"
=The probability that the first person is a superfan and the probability that the second person is a superfan.
=0.30 x 0.30
=0.09
Hence, the probability that both people have both seen the band perform live before, and are "superfans" are 0.25 and 0.09 respectively.
Jenny is making tie dyed shirts for her class with her school colors, blue and yellow she used a total of 8 ounces of fabric paint the amount of blue paint is 3 times the amount of yellow make a diagram to show the ratio of blue to yellow paint
Answer:
The ratio of blue paint to yellow paint is 3:1
Step-by-step explanation:
Let
x -----> the amount of blue paint in ounces
y ----> the amount of yellow paint in ounces
we know that
x+y=8 -----> equation A
x=3y -----> equation B
Solve the system by substitution
Substitute equation B in equation A
3y + y = 8
4y = 8
y = 2
Find the value of x
x = 3(2) = 6
therefore
The amount of blue paint is 6 ounces and the amount of yellow paint is 2 ounces
Find the ratio
To find out the ratio of blue paint to yellow paint, divide the amount of blue paint by the amount of yellow paint
x/y = 6/2 = 3/1
That means -----> Of every 4 parts of paint, three parts are blue and one part is yellow.
a sequence of transformations is used to map triangle RST onto triangle LMN please help
Answer:
The answer would be 70
Step-by-step explanation:
All of the interior angles of a triangle equate to 180.
Help with this one pleaseee
Answer:
??
Step-by-step explanation:
simplify: log64+2log5-2log40
Answer: 0
Step-by-step explanation:
Use rules of logarithms to condense.
Cathy buys 7 ounces of dried cherries in bulk. If dried
cherries cost $0.41 per ounce, how much will she pay?
$2.87
B $0.28
C $2.15
D $3.07

Answer:
A. $2.87
Step-by-step explanation:
What are the next two numbers in the sequence?
4, 16, 64, 256,
Answer:
1024.
Step-by-step explanation:
You just multiply by 4
yo please help i have no idea how to do this(the first 2 questions the tecaher did)
Answer:
Step-by-step explanation:
You'll need to learn the formula for the circumference of a circle. If the radius is r, the circumference C is C = 2πr. It appears that your teacher is using pi for the exact circumference and 3.14 for the approximate circumference.
The radius of the first circle is 5 in. Thus, the exact circumference is
C = 2πr = 2π(5 in) = 10π in, and the approximate circumference is
C = 2(3.14)(5 in) = 31.4 in
What is the slope of a line perpendicular to the line whose equation is
3x – 12y = 216. Fully reduce your answer.
=
Answer:
Step-by-step explanation:
-4
3/4x + 2/5 = 4x - 1/4x
Answer:
4/45 = x
Step-by-step explanation:
Strongly suggest that you enclose the fractional coefficients inside parentheses to reduce possible ambiguity:
(3/4)x + 2/5 = 4x - (1/4)x
Consolidate the x terms on the right side and leave the 2/5 on the left:
2/5 = (4 - 1/4 + 3/4)x, or
2/5 = (4 1/2)x or 2/5 = (9/2)x
Solving for x: Multiply both sides by (2/9):
(2/9)(2/5) = (2/9)(9/2)x, or:
4/45 = x
Note: please include ALL instructions.
Find the solution to the system of equations.
You can use the interactive graph below to find the solution.
y = -5x + 6
y = 3x – 2
X=
y =
Answer:
(1,1) X=1 Y=1
Step-by-step explanation:
x = 1
y = 1
adding characters for no reason lo