answer: 16
step by step explanation:
The total number of marbles = 32 marbles.
We have ratio of the number of marbles in the red bag to the number in the blue bag is 3 : 5. After that, two marbles are moved from the blue bag to the red bag, making the ratio 7 : 9.
We have to find out how many marbles are there in total.
Is the ratio a:b equal to [tex]\frac{a}{b}[/tex].Yes, a:b equals to [tex]\frac{a}{b}[/tex] - where ' a ' is called Antecedent and ' b ' is called Consequent.
Let the total number of marbles be x.
Let the number of marbles in the red bag be ' x ' and in blue bag ' y '.
According to question -
[tex]\frac{x}{y} =\frac{3}{5}[/tex]
5x = 3y
x = [tex]\frac{3y}{5}[/tex]
After the two marbles are moved from blue bag are moved into the red bag, then -
[tex]\frac{x+2}{y-2} =\frac{7}{9}[/tex]
9(x + 2) = 7(y - 2)
9x + 18 = 7y - 14
9x - 7y = -32
9 ([tex]\frac{3y}{5}[/tex]) - 7y = -32
[tex]\frac{27y}{5} - 7y =-32[/tex]
[tex]\frac{-8y}{5}=-32[/tex]
-8y = -32 x 5
y = 4 x 5
y = 20
Therefore -
x = [tex]\frac{3\times20}{5}[/tex] = 12
Hence, the total number of marbles = x + y = 20 + 12 = 32 marbles.
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What is 155 plus 33, then subtracted by four, and then divided by 2?
Answer:
92
Step-by-step explanation:
Answer:
92
Step-by-step explanation:
155+33=188-4=184 divided by 2 =92
5,000 books in the town's library of these 4,300are fiction. To find the percent of the books that are fiction, first set up the percent equation. Then find the percent.
Answer: 86%
Step-by-step explanation:
Number of books in the town's library = 5000
Number of books that are fiction= 4300
The percent of books that are fiction will be:
= 4300/5000 × 100
= 0.86 × 100
= 86%
im really confused
Answer:
Exterior alternate angles
x=5
Step-by-step explanation:
The relationship between these 2 angles is exterior alternate angles, which says that the alternating exterior angles that are made by a parallel line and a transversal are equal.
To solve for x, we can set up an equation:
24x=120
x=5
Samuel has a collection of toy cars. His favorites are the 27 red ones, which make up 60% of his collection. How many toy cars does Samuel have?
What are the four properties of equality?
Answer:
1. The Reflexive Property. a =a
2. The Symmetric Property. If a=b, then b=a
3.The transitive Property. If a=b and b=c, then a=c
4. The Substitution Property. If a=b, then a can be substituted for b in any equation
Step-by-step explanation:
Answer:Addition property of equality, subtraction property of equality, multiplication property of equality, division property of equality
Step-by-step explanation: There’s also distributive property, reflexive property, symmetric property, transitive property, substitution property(. THOSE ARE NOT PROPERT OF EQUALITY)
Which expression is equivalent to -1/2 - (- 3/2)
1/2 - 3/2
-1/2 - 3/2
-1/2 + 3/2
1/2 + 3/2
Answer:
c
Step-by-step explanation:
consider the polynomial equation x(x-3)(x+6)(x-7)=0. Which of the following are zeros of the equation? Select all that apply.
answer one: -7
answer two: -6
answer three: -3
answer four: 0
answer five: 3
answer six: 6
answer seven: 7
CAN ANYONE HELP ME!!! URGENT.. WILL MARK BRAINLIEST!!!
Answer:
y= 5(1) = 5
Y= 5(2) = 10
y= 5(3) = 15
y= 5(4) = 20
y= 5(5) = 25
y= 4(1)+3 = 7
y= 4(2)+3 = 11
y= 4(3)+3 = 15
y= 4(4)+3 = 19
y= 4(5)+3 = 23
Step-by-step explanation:
you just have to substitute x in each equation for the number above.
Answer:
I can't see the question... All I can see is the "CAN ANYONE HELP ME!!! URGENT.. WILL MARK BRAINLIEST!!!"
Is this happening with anyone else, or just me?
I want to help...
Help!! I need help. Please!!
A
Hope this helped ;)
A rectangular section of wilderness will be set aside for a new wildlife refuge. It's dimensions are 5.2 × 105meters by 3.7 × 106meters. Find the area of the land in square meters.
Answer:
19.24*10^11metersStep-by-step explanation:
Given the dimensions are
length= 5.2 × 10^5meters
width= 3 .7 × 10^6meters
We know that area is given as
Area=length * width
Area=5.2 × 10^5* 3 .7 × 10^6
Area= 5.2*3.7*10^5+6
Area=19.24*10^11meters
Therefore the area is 19.24*10^11meters
Mandy drives 60 miles with a friend. It takes her an hour and a half to do so.
At this rate, how many miles will she drive in 5 hours?
Answer:
12
Step-by-step explanation: 5 dived by 60 equals 12 miles she will drive in 5 hours.
Answer:
200
Step-by-step explanation:
i did super speedy math in my head i said 60/3=20*2=40*5=200
prime factorization of 1,568
Answer:
2 x 2 x 2 x 2 x 2 x 7 x 7 = 1,568.
Step-by-step explanation:
Write 3% as a fraction in simplist form
Answer:
Answer is ...........
3%=3/100
Answer: 3/100
Step-by-step explanation: It is impossible to simplify the fraction 3/100, so it is not changed, and therefore is 3/100.
A packet of crisp weighs 32 grams to the nearest gram. a multi-pack crisp contains 10 packets. work out the least and the greatest weighs of the multipack. ignore the weight of the multipack
Answer:
Least weight of multipack :
31.5 * 10 = 315g
Highest weight of multipack :
32.4 * 10 = 324g
Step-by-step explanation:
Weight of a packet of crisp to the nearest gram = 32 g
The least value of the weight of actual packet = 31.5 (least number which can give 32 when rounded to the nearest gram)
The highest value of the weight of actual packet = 32.4g (Highest number which can give 32 when rounded to the nearest gram)
Since a multipack contains 10 packets of crisp :
Least weight of multipack :
31.5 * 10 = 315g
Highest weight of multipack :
32.4 * 10 = 324g
2 1/2 divided by 1/3
Answer:
7.5
Step-by-step explanation:
Answer
7.5
Step-by-step explanation:
The numbers 0-9 are on the calculator. If you randomly push one number on the calculator, what is the probability that you will push 8?
Answer:
Its 1/9
Step-by-step explanation:
Answer: 10 percent chance.
Step-by-step explanation: 100%÷10=10%
which decimal is equivalent to 3 2/5?
Answer:
3.4
Step-by-step explanation:
3=3
2/5=4/10=0.4
3+0.4=3.4
Answer:
Step-by-step explanation:
3 and 2/5
5*3 is 15+2 is 17
17/5 is 3.4
One half divided by negative one seventh
Answer:
7/2 (7 over 2)
What is the reflection across the x-axis of the triangle E(-3, -4), F(-2, 1), G(0, -3)?l
Answer:
Step-by-step explanation:
can you show the picture
Which of the following are solutions to the inequality below? Select all that apply.
The solution of the given inequality is m>12.
The given inequality is 6 < m/2.
What is a inequality?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The given inequality can be solved as follows:
6 < m/2
Multiply 2 to the given inequality.
That is, 6 × 2 < m/2 × 2
= 12<m
= m>12
Therefore, the solution of the given inequality is m>12.
To learn more about a inequality visit:
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solve for f.
2 + 1.25f = 10 - 2.75f
Answer:
2
Step-by-step explanation:
2 + 1.25f = 10 - 2.75f
1.25f + 2.75f = 10 - 2
4f = 8
f = 8/4
f = 2
hope this helps you!
The point-slope form of the equation of the line that passes through (-9, -2) and (1, 3) is y-3 = {(x - 1). What is
the slope-intercept form of the equation for this line?
Answer:
u of the record for me and my family are doing well and that you have a meeting with the record for me and my family are doing well and that you have
Answer:
Step-by-step explanation:
Just rewrite y-3 = {(x - 1) as y-3 = m(x - 1). {(x - 1) is not valid.
Next, solve this y-3 = m(x - 1) for y:
Adding 3 to both sides yields y = m(x - 1) + 3, or:
y = mx - m + 3, or
y = mx + (-m + 3). This is in slope-intercept form.
If you choose m = 2, then the equation becomes
y = 2x +(-2 + 3), or:
y = 2x + 1
Note: to get a single answer to this question you must provide the m value.
A market ordered 140 apples packed in small bags. How many small bags can be filled ?will there be any apples left over? Divide using a rectanglular area model and show the remainder
Answer:
Step-by-step explanation:
2
The daily energy requirement for males is modeled by the chart below. Age (Years) (X) Energy Needed (Calories) (Y) 1 1100 2 1300 5 1800 8 2200 11 2500 14 2800 17 3000 Use the points (5, 1800) and (17, 3000) to determine a linear equation for the data.
Answer: y = 100x + 1300
Step-by-step explanation: Linear Equation is an equation whose graphic produces a line. It is of the form y = mx + B, in which m and B are real numbers.
The term m is also the slope or gradient of the equation, i.e., it shows the steepness of the line. While B is y-intercept, i.e., it is the point where the line touches the y-axis.
The slope is determined by:
[tex]m=\frac{y-y_{0}}{x-x_{0}}[/tex]
[tex]m=\frac{3000-1800}{17-5}[/tex]
m = 100
For the linear equation, use:
[tex]y-y_{1}=m(x-x_{1})[/tex]
and point (5,1800):
[tex]y-1800=100(x-5)[/tex]
[tex]y=100x-500+1800[/tex]
[tex]y=100x+1300[/tex]
The linear equation of daily energy requirement for males is [tex]y=100x+1300[/tex].
Find the multiplier for 11.8% growth.
A. 1.18
B. 11.8
C. 88.2
D. 0.882
y - 2x = 4
What would be the answer to Isolate Y?
A town's population is 42,750 . About 125 people move out of the town each month. Each month, 175 people on average move into town. A nearby town has a population of 45,450 . It has no one moving in and an average of 175 people moving away every month. In about how many months will the populations of the towns be equal? Write an equation to model the situation. Then solve the equation and answer the question.
Answer:
it would be 16 and 1/4 months
Step-by-step explanation:
Which one of the following types of exercises uses fast-twitch muscle fibers?
Sprinting
Running
Jogging
Walking
Answer:
Sprinting
Step-by-step explanation:
pls mark brainliest
Answer:
A. Sprinting
Step-by-step explanation:
help. which one is it??
Answer the following question showned in the picture:
Answer:
29
Step-by-step explanation:
[tex]180 - 109 - 42 = 29[/tex]
I think this is the answer
