Masha bought red, green, and yellow balloons for a party. She bought 40 red balloons. The number of green balloons Masha bought is 3/5 of the number of red balloons. The number of green balloons is also 2/3 of the number of yellow balloons.While being inflated, 1/20 of the red balloons, 1/12 of the green balloons, and 1/36 of the yellow balloons popped. The remaining balloons were used as party decorations. What part of all the balloons Marsha purchased to decorate the party?

Answers

Answer 1
Red = 40
Green= split the 40 into 5 groups to see how much it would be if you took 3 of them
8 8 8 8 8
If you take 3/5 groups then you get 8+8+8 which = 24 therefor
Green=24
Yellow = divide 24 by 2 to see how much you would get if it was 2/3
Which would be 12 12 12
because if you took 2 out of the 3 groups here it would equal (12+12) 24 (or green)
Thats how you know that if you took all three groups it would equal yellow so
Yellow= 36


Now if 1/20 of the red balloons (40) popped it would just be 1 balloon for every 20. We know that theres only 2 20s that can fit into 40. therefor only 2 red balloons popped

Same thing for green and yellow but only 1 popped in each because it is the 1 the number calculated.

All together she bought 88 balloons (40+12+36) and 4 popped so 84 were used

So it’s 84/88 balloons and you can simplify it down to 5/6

(simplify by dividing both numbers by whatever they both can till you can’t anymore)
Example 64/82can go down to 32/40 by dividing both numbers by 2

The answers are gonna be:
38 out of 40 red balloons were used
11 out of 12 green balloons were used
35 out of 36 yellow balloons were used

So 5/6 of all the balloons bought were used in the party

Related Questions

Explain why 0+a=a. ?

Answers

Answer:

any number or letter added to zero results in the number itself

Step-by-step explanation:

write an expression equilavant to a + a + a + a + a + a + a

Answers

Hello,

[tex]a + a + a + a + a + a + a= 7 \times a = 7a[/tex]

Answer:

7a

Step-by-step explanation:

Use the graph of the function shown below to find:
A. The value of y when x is equal to each of the following: -3, -2, 0, 2, 4.
B. The value of x when y is equal to each of the following: -1.5, 0, 2, 2.5.
C. The domain of the function.
D. The range of the function.

Answers

Part A: 0, 2.4, 2.4, 1, 2

Find the y coordinate of the point on the graph with the given x coordinate.

Part B: -2.5, 6, 0.5, N/A

Find the x coordinate of the point on the graph with the given y coordinate.

Part C: [-3, 7]

The domain is the set of x values.

Part D: [-1, 2.4]

The range is the set of y values.

A. The value of y, when x is equal to -3, -2, 0, 2, 4, is 0, 2.4, 2.4, 1, 2 respectively.

B. The value of x, when y is equal to -1.5, 0, 2, is -2.4, -3, and 4 respectively.

C. The domain of the function is {-3, -2, 0, 2, 4}.

D. The range of the function is {0, 1, 2.4}.

A. To find the value of y at x is equal to -3, -2, 0, 2, 4 is found by the graph given.

x:     -3     -2       0         2      4

y:      0     2.4     2.4       1      2

B. To find the value of x at y is equal to -1.5, 0, 2, is found by the graph given.

y:      -1.5       0       2

x:      -2.4      -3       4

C. The domain of a function is the set of all possible input values (in this case, x values) for which the function is defined.

From the given x values, we can see that the function is defined for all of these values: -3, -2, 0, 2, 4.

So, the domain of the function is {-3, -2, 0, 2, 4}.

D. The range of the function:

The range of a function is the set of all possible output values (in this case, y values) that the function can produce.

From the given y values, we can see that the function produces these y values: 0, 1, 2.4.

So, the range of the function is {0, 1, 2.4}.

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The triangle below is reflected about the y-axis and then translated 4 units to the left.



The resulting triangle isA A'B'C' . What is the measure of angle C'?

1. 35°
2. 55°
3. 63°
4. 125°

Answers

Answer:

55⁰

Step-by-step explanation:

a + b + c = 180⁰

35⁰ + 90⁰ + c⁰ = 180⁰

125⁰ + c⁰ = 180⁰

180⁰ - 125⁰ = 55⁰

c = 55⁰

D. Highway I-10 is having an extension added
on. It will then be 3,000 miles long. How long
is the extension?
I-10 2,460

Answers

Answer:

the extension is 540 miles long

Step-by-step explanation:

I-10=2460

2460+x=3000

subtract 2460 from both sides

x=540

the extension is 540 miles long

Complete the table of values below and use it to graph the equation y − x = − 6.

x
1
2
3

Answers

Answer is found in image below( for problems like these, I would recommend the website “Desmos”:

Find the equation of the horizontal line through the point (5,−5) and (5,-5).​

Answers

Answer:

Step-by-step explanation:

A horizontal line is given by an equation of the form Y = b

Notice that in both points the Y coordinate is the same no matter what value you choose for x

Y = -5

Multiply and simply the resulting expression with positive exponents.
(2−4−4) · (−74−2)
Please show all of the steps for your solution.

Answers

Answer:
100
Step-by-step explanation:
Simplify the following:
4 (12 - 2)^2/4
Hint: | Express 4 (12 - 2)^2/4 as a single fraction.
4 (12 - 2)^2/4 = (4 (12 - 2)^2)/4:
(4 (12 - 2)^2)/4

Darren is copying abc first,he constructs de as a copy of ab.next he constructs d as a copy of a,using de as one of the sides.

Answers

The discussion is shown below:

What is Construction?

Geometric constructions help us to draw lines, angles, and shapes with simple tools.

Given:

A copy of triangle ABC is drawn

He has constructed an angle D and side DE. All he needs to do is constructed another edge.

The process for constructing is to start with point D and create a ray with angle D to point DE.

In order to cross the ray at point F, draw a line parallel to AB.

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The height of an object off the ground, h (in feet) t seconds after it is launched into the air is given by
h(t) = −16t2 + 96t, 0 ≤ t ≤ 6.
Find the average rate of change of h over the interval
[3, 6].

( ) feet per second

Interpret your result.
During the last three seconds of the objects's time in the air, it is
falling at an average rate of (. )feet per second.

Answers

The average rate of change of h over the interval is -48 feet per second.

Given,

The height of an object off the ground, h (in feet) t seconds after it is launched into the air is given by

h(t) = −16t2 + 96t, 0 ≤ t ≤ 6.

We need to find the average rate of change of h over the interval [3, 6].

How do we find the average rate of change of a function over an interval?

If we have an interval [a, b] and a function f(x).

The rate of change is given by:

= f(b) - f(a) / b - a

We have,

h(t) = −16t² + 96t and [3, 6].

h(6) = -16 x 6² + 96 x 6 = -576 + 576 = 0

h(3) =  -16 x 3² + 96 x 3 = -144 + 288 = 144

The average rate of change of h is:

= h(6) - h(3) / 6 - 3

= 0 - 144 / 3

= -144 / 3

= -48

Thus the average rate of change of h over the interval is -48 feet per second.

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Range of hx = 2r^2 + 20r +42

Answers

Answer: Range: hx>=-8

Step-by-step explanation:

Find the vertex first:

2r^2 + 20r +42=

2(r^2 + 20r/2 +42/2)=

2(r^2 + 10r +21)=

2(r^2 + 10r +25-4)=

2(r^2 + 5r+5r +25-4)=

2(r(r+5)+r(r+5)-4)=

2((r+5)^2-4)=

2(r+5)^2-4*2=2(r+5)^2-8   ==> Vertex: (-(5), -8) ==> (-5, -8)

-8 is when the range starts

Range: hx>=-8


First try was incorrect
Tarzan played a game in which he could either lose or gain points
each round. At the end of 3 rounds, he had -8 points. After one more
round, he had 12 points. Express the change in points in the most
recent round as an integer.

Answers

Answer:

20

Step-by-step explanation:

|-8 - 12| = 20

The absolute value of -8 minus 12 will show us the difference, or the change in points as in this problem

|-8 - 12| = 20

Dave and his brother, Theo, are selling cookies by the pound at the school bake sale. Dave sold 14.84 pounds of cookies and Theo sold 21.45 pounds of cookies. How many pounds did they sell altogether?

Answers

36.29
I think this is the answer

Can someone tell me the answer pls

Answers

Step-by-step explanation:

a normal function expresses y (the functional result) in terms of x (and constants).

we need to transform this to express now x in terms of y (and constants).

at the end we only rename x into y and y into x to make it an actual function.

h(x) = y = (-5x + 6)/(3x + 4)

y(3x + 4) = (-5x + 6)

3xy + 4y = -5x + 6

4y - 6 = -5x - 3xy = x(-5 - 3y)

x = (4y - 6)/(-5 - 3y)

and after renaming we get therefore the function

y = h-1(x) = (4x - 6)/(-3x - 5)

A sign by the pears reads, "Buy 1/4 pound for only 1/2 dollar!" Ms. Morales thought that the pears cost more than $1.00 per pound. Her daughter, Jasmine, thought that the pears cost less than $1.00 per pound. Who is correct?​

Answers

Answer:Ms. Morales is right

Step-by-step explanation: it is 1/2 a dollar = to 50 cents 50 cents x 4 =2.00$

(8x-14) what is the solution of x?

Answers

Answer:    [ x = 2 ] is the solution to the equation.

Step-by-step explanation:    (8x-14) what is the solution of x?

sells pens with a company's logo printed on the pens. Writing World charges a standard price per box of pens when the customer purchases 200 or fewer boxes. Each box over 200 that the customer purchases is sold at a discounted rate. A customer purchases x boxes of pens,where x ≥ 200. The average cost of a single box of pens purchased by this customer is 1600+6(x-200) represented by X What is the meaning of the parts of this rational expression in the context of the situation? ​

Answers

The number in the problem whose result is 40, will be 3,600 and 90.
What is Algebra?
The analysis of mathematical representations is algebra, and the
handling of those symbols is logic.
Division means the separation of something into different parts,
sharing of something among different people, places, etc.
Use the digits nine, six, and three one time each in the following Multi-
digit division problem then rewrite the problem.
Then the problem whose result is 40 will be given as the division of
3600 by 90.
3,600 / 90 = 40
The number in the problem whose result is 40, will be 3,600 and 90.

please just find the values of a and b , I can do the rest.​

Answers

Step-by-step explanation:

1×1+1×1/100

1+1/100

2/100

0.02 It might be the answer

Let us consider ab as 8

(8÷1/8)^2

(8/8)^2

(8/1)

8 ANS

Add: 1/(x-3) + 4/(x+5)

Simplify answer

Answers

The expression can be simplified as 4x-12/x-3

How to simplify the expression ?

The expression is

1/(x-3) + 4/(x+5)

= (x+5) + 4(x-3)/(x-3)(x+5)

= 4x-12/x-3

Hence the expression can be simplified as 4x-12/x-3

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Select all the correct figures.
Which figures have rotational symmetry?

Answers

Answer is the hexagon and the star have rotational symmetry

Reason:
Hexagon #3 - the six sides of the hexagon are congruent, indicated by the tick mark on all sides is the same mark this means no mater the rotation it will always be the same.

Star #5 - the ten sides of the star are congruent, indicated by the tick mark on all sides is the same mark this means no mater the rotation it will always be the same.

All the other figures have sides that are NOT congruent as they have different tick marks on their sides.
#1, 2, 4 and 6 are not congruent, they have different tick marks on their sides

Problem solved

How do you write -4 and 4/25 as a decimal

Answers

Answer: -4.16

Step-by-step explanation:

100/25=4

-4 4/25=

-4 4*4/(25*4)=

-4 16/100= -4.16

How many squares are in the

Answers

Answer:

10

Step-by-step explanation:

14 squares total in the figure

0.4 x 0.17 i need a answer plsss

Answers

Answer:

0.068

Step-by-step explanation:

calculator

Answer:

0.068

0.4x0.17= 0.068

Step-by-step explanation:

PLS HELP!! ILL GIVE BRAINLYEST!!
The school cafeteria serves portions of fried rice that are 140 grams each.

A. If 64 portions of rice are served, how many grams of rice would that be?

B. Write an expression for the total weight in grams of rice needed for p portions.

C. One day, the total weight of rice served was 11,340 grams. How many portions were served that day?

D. Write an expression for the number of portions served if the total rice weighed t grams.​

Answers

Answer:

A: 8,960

B: 140 x 64 = p

C: 81

D: im sorry but im confused on that one

Step-by-step explanation:

A: 140 x 64 = 8,960

C: 11,340 / 140 = 81 ( / = divided)

A: Given each portion has 140 grams, we can multiply that by 64 portions:

140 • 64 = 8,960

In 64 portions, there are 8,960 grams of rice.

B: t = 140p

C: Given the total weight was 11,340 grams and each portion has 140 grams, we can set up an equation:

11,340 / 140 = 81

81 portions were served that day.

D: p = t / 140

Can someone help me! Please this assignment is due today.​

Answers

The simplified form of the expression 5(3/5 x + 8y²) - 4x - (6y² + 10) will be  34y² - x - 10.

What is simplification?

Simplicity is the quality of making anything less complicated and more manageable in terms of both execution and comprehension.

The expression is given below.

⇒ 5(3/5 x + 8y²) - 4x - (6y² + 10)

Simplify the expression, then we have

⇒ 5(3/5 x + 8y²) - 4x - (6y² + 10)

⇒ 3x + 40y² - 4x - 6y² - 10

⇒ 34y² - x - 10

The simplified form of the expression 5(3/5 x + 8y²) - 4x - (6y² + 10) will be  34y² - x - 10.

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(50 points) if L||M, solve for x and y

#11 but u can try #12 too
ignore my writing i didn’t know what to do

Answers

Check the picture below.

Please help me solve this I need a step by step solution that isn't too complicated, and I need to find an inequality that is written and the solved. Here's the question:

Neil and Yuki run a data entry service. Neil starts at 9:00am and can type 45 words per minute. Yuki arrives at 10:30am and can type 60 words per minute. Write and solve an inequality to find at what time Yuki will have typed more words than Neil. Let x represent the time in minutes.

Answers

Answer:

45*90+45*x and Yuki would have typed 60*x.

Words typed by Yuki > Words typed by Neil

45 \times 90 + 45 \times x < 90 \times x45×90+45×x<90×x

Solving above inequality would give

x > 90x>90

it means that 90 minutes after 10:30 AM

Yuki would type more than Neil.

8p-1-2q+7q identify the constant

Answers

Answer:

In equation 8p-1-2q+7q, 1 is the constant

Step-by-step explanation:

In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number.

Example: in "8p-1-2q+7q", 1 is the constants.

Let's simplify step-by-step.

8p−1−2q+7q

=8p+−1+−2q+7q

Combine Like Terms:

=8p+−1+−2q+7q

=(8p)+(−2q+7q)+(−1)

=8p+5q+−1

=8p+5q−1

In which set of number would you fibe the number

Answers

-153 would lie in the sets of real number which is option (A) .

A real number is a number that includes both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions (1/2, 2.5), and irrational numbers such as √3 and π(22/7) are all real numbers.

We have given a number -153 which is an integer and it can be written in the form of [tex]\frac{p}{q}[/tex] where q is not equal to 0 .Hence , it is an rational number also and integer and rational number constitute together to form real numbers.

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The complete question is mention below :

In which set of number would you find the number -153

(A) real number

(B) natural number

(C) whole number

(D) irrational number

(E) integer

(F) rational number

The scale on a blueprint says that 1 cm is the equivalent of 3 ft. A particular line on the blueprint representing a wall measures 12 cm. How long should the wall be?

Answers

The scale on a blueprint says that 1 cm is the equivalent of 3 ft. A particular line on the blueprint representing a wall measures 12 cm. Wall is 36 ft long.

Given,

Scale on a blueprint says that 1 cm is the equivalent of 3 ft

1cm = 3ft

A particular line on the blueprint representing a wall measures 12 cm.

12cm = 12(3) ft

         = 36ft

Wall is 36 ft long.

The act or system of measuring is referred to as measurement. It may be viewed as a procedure for utilizing numbers to define physical objects. "This rod is bigger than that rod," for instance.

Since we don't know anything about the specific characteristics of the provided rods, this statement only serves a very narrow function of comparison. However, if we claim that the first rod is 20 inches long and the second is 15 inches, the first rod will be 5 inches longer than the second. This claim provides us with support for our deduction and makes greater sense mathematically.

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