Mr. Rodriguez is packing bags of snacks for his children’s lunchboxes. If he has 20 blueberries and 30 grapes, what is the maximum number of bags of snacks that he can pack so that each bag has the same number of blueberries and grapes?

Answers

Answer 1
The common factor of 20 blueberries and 30 grapes is 5. So if you divide the blueberries and grapes you should get 4 blueberries and 6 grapes in each bag. In short, 5 bags.
If each bag has 4 blueberries and 6 grapes.
Answer 2

With equal distribution of blueberries and grapes, Mr. Rodriguez can pack maximum of 10 bags of snacks.

What is ratio?

Ratio is a quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

Given is that Mr. Rodriguez is packing bags of snacks for his children’s lunchboxes and for that he has 20 blueberries and 30 grapes.

Now, we have -

Number of blueberries = n[b] = 20 blueberries

Number of grapes = n[g] = 30

For equal distribution, there should be a ratio of → n[b]/n[g] = 20/30 = 2/3

Or we can write it as 2 : 3. This means that in each box there should be 2 blueberries and 3 grapes.

The maximum number of bags [x] that Mr. Rodriguez can pack can be calculated as -

2x + 3x = 20 + 30

5x = 50

x = 10

Therefore, with equal distribution of blueberries and grapes, Mr. Rodriguez can pack 10 bags of snacks.

To solve more questions on ratio equality, visit the link below-

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Related Questions

Part 1:

The length of a rectangle is 4/3 its width, w.

Which expression represents the perimeter of the rectangle?

Answer Choices:

a. 4/3w+2w


b. 4(4/3w+w)


c. 4×4/3w


d. 2(4/3w+w)


Part 2:

The perimeter of the rectangle from Part 1 is 28 inches.

What is the area of the rectangle, in square inches?

Answers

perimeter = 2 times the length plus 2 times the width

 which can also be written as 2(4/3w+w) so the answer is D


part 2

 28 = 2(4/3w+w) when you do the calculation w = 6

length = 4/3 *6 = 8

 area = 6 * 8 =48 square inches

 

N x 6/9 = 3/12

what is N?

Answers

1

 

Simplify n\times \frac{6}{9}n×​9​​6​​ to \frac{2n}{3}​3​​2n​​

\frac{2n}{3}=\frac{3}{12}​3​​2n​​=​12​​3​​


2

 

Simplify \frac{3}{12}​12​​3​​ to \frac{1}{4}​4​​1​​

\frac{2n}{3}=\frac{1}{4}​3​​2n​​=​4​​1​​


3

 

Multiply both sides by 33

2n=\frac{1}{4}\times 32n=​4​​1​​×3


4

 

Simplify \frac{1}{4}\times 3​4​​1​​×3 to \frac{3}{4}​4​​3​​

2n=\frac{3}{4}2n=​4​​3​​


5

 

Divide both sides by 22

n=\frac{\frac{3}{4}}{2}n=​2​​​4​​3​​​​


6

 

Simplify \frac{\frac{3}{4}}{2}​2​​​4​​3​​​​ to \frac{3}{4\times 2}​4×2​​3​​

n=\frac{3}{4\times 2}n=​4×2​​3​​


7

 

Simplify 4\times 24×2 to 88

n=\frac{3}{8}n=​8​​3​​


4x+2x+3=54
what is the value of x

Answers

4x + 2x + 3 = 54

6x + 3 = 54

6x = 54 - 3

6x = 51

x = 51/6

x = 17/2    or 8.5

hope this helps, God bless!
Whenever you see thus you have to simplify.

A living room wall is 11 feet long. How far from the corner would you have to the edge of 2ft 6in for shelf for it to be centered on the wall

Answers

11 foot wall,

 the center of the wall would be 5 1/2 feet which is 5 feet 6 inches

the shelf is 2 feet 6 inches, so the center of that would be 1 foot 3 inches

5 ft 6 in - 1 ft 3 in = 4 ft 3 inches from corner

Which fraction is equivalent to 1/2?



2/3


2/4


3/5


4/7

Answers

It would be 2/4. 2/4 simplifies to 1/2.
1/2 = 2/4 = 3/6 = 4/8 = 5/10 = 6/12 = 7/14 = 8/16 = 9/18 = 10/20 = 11/22 = 12/24 = 13/26 = 14/28 = 15/30 = 16/32 = 17/34 = 18/36 = 19/38 = 20/40

PLEASEEE HELPP ASAP!

Answers

-0.4(3*4 - 2) +[ (2*4 + 4)/3] 
= -0.4 (10) +12/3
= -4 + 4
= 0

what are the steps to convert a quadratic function in standard form to vertex form

Answers

The preferred method is to complete the square. Please see the detailed screenshot attached.

Alternately, you can calculate the value for the vertex as such using this formula for the ordered pair: [tex]( \frac{-b}{2a}, f(\frac{-b}{2a}))[/tex]. Then, you can plug this point in for [tex](h, k)[/tex].
Final answer:

To convert a quadratic function in standard form to vertex form, follow these steps: identify the given equation, find the x-coordinate of the vertex, substitute the x-coordinate to find the y-coordinate, and write the function in vertex form.

Explanation:

To convert a quadratic function in standard form to vertex form, follow these steps:

Identify the given equation in standard form, which is in the form of ax² + bx + c = 0.Use the formula x = -b/2a to find the x-coordinate of the vertex.Substitute the found x-coordinate into the original equation to find the y-coordinate of the vertex.Write the quadratic function in vertex form as y = a(x-h)² + k, where (h, k) is the vertex of the parabola.

For example, if the quadratic function is given as 2x² - 8x + 5 = 0, we first find the x-coordinate of the vertex using the formula x = -b/2a as x = -(-8)/(2*2) = 2. Substituting this x-coordinate into the equation, we find the y-coordinate of the vertex as y = 2*(2)² - 8*(2) + 5 = -3. Therefore, the quadratic function in vertex form is y = 2(x-2)² - 3.

Learn more about Quadratic functions here:

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Add 1 1/3+(−5/6) using the number line.

Answers

0.5 would be the answer because you are starting at 1 1/3 and moving 5/6 to the left 

Ebony walked at a rate of 3 1/2 miles per hour for 1 1/3 hours. how far did she walk.

Answers

Final answer:

To find how far Ebony walked, multiply her walking rate (3 1/2 miles per hour) by the time walked (1 1/3 hours), resulting in a total distance of 4.665 miles.

Explanation:

The question asks, "Ebony walked at a rate of 3 1/2 miles per hour for 1 1/3 hours. How far did she walk?" To answer this, we need to multiply the rate at which Ebony walked by the time she spent walking. The rate is 3½ (or 3.5) miles per hour, and the time is 1⅓ (or 1.333) hours.

So, the calculation is as follows:

Distance = Rate × Time

Distance = 3.5 miles/hour × 1.333 hours

Distance = 4.665 miles

Therefore, Ebony walked a total of 4.665 miles.

If the distance from 0 to x on a number line is less than 5, then –5 + x is negative. Always Sometimes Never

Answers

I think it's always negative

Final answer:

The statement that -5 + x is negative, given the distance from 0 to x on a number line is less than 5, is true sometimes. This depends on the value of x, whether it is a small positive number or any negative number.

Explanation:

The question revolves around the concept of distance on a number line and the calculation of numerical expressions. To understand whether -5 + x is always, sometimes, or never negative given the condition that the distance from 0 to x on a number line is less than 5, let's analyze the scenarios.

First, the absolute value |x| < 5 indicates that x must be between -5 and 5 (not including -5 and 5). This means x can be any value closer to 0 than 5, whether positive or negative.

If x > 0 (but less than 5), then -5 + x would be negative because x cannot neutralize the -5 completely.

For example, if x=4, then -5 + 4 = -1.

If x < 0, then -5 + x is negative since you are adding two negative numbers.

For example, if x=-4, then -5 + (-4) = -9.

The statement -5 + x is negative is true sometimes based on the value of x. If x is a positive number close to 5, the expression may approach 0 but will stay negative. If x is negative, the expression is further negative.

A photograph is reduced to 75% of its original size The photo was originally 12 inches by 16 into what are the new dimensions after it has been reduced to 75%?

Answers

I believe it would be 9 by 12 because 3/4 or 75% of 12 is 9 and 3/4 or 75% of 16 is 12.
75% of its original size

12 inches by 16 inches

the new dimensions would be :
0.75 * 12 = 9 inches 
0.75 * 16 = 12 inches

9 inches by 12 inches <==

18+6(9k-13) Can someone please help me on this problem, you have to simplify to get the answer.

Answers

18+6(9k-13)
18+54k-78
54k-60

Defined by two lines or rays diverging from a common point.
A) arc
B) angle
C) parallel lines
D) perpendicular lines
Defined as bounded by two distinct end points that contain every point on the line between its end points.
A) circle
B) line segment
C) parallel lines
D) perpendicular lines

Answers

The first answer would be selection (b), an angle. Angles have rays or lines that emanate from a common starting point. The second answer would be selection (b), as well. A line segment contains the two end points as well as every point on that line in between.

1. B angle

2. B line segment

Further explanation

Let see the answer choices :

1 .

A) arc

is part of the circumference of a circle

B) angle

Angles can be formed from two ray lines that have the same starting point

Commonly used terms include foot angle, corner point, and angle size

The magnitude of the angle is usually expressed in degrees

Naming angles can be with one letter according to the vertex or with three letters with the vertex placed between two other letters

C) parallel lines

two lines that don't intersect each other at any point

D) perpendicular lines

the two lines intersect at a right angle.

So two lines or rays are diverged from a common point: angle

2 .

A) circle

Circles are two-dimensional builds which are sets of equidistant points at a point called the center point

The distance of these points to the center is called the radius of the circle

B) line segment

The line connecting two points and these two points is end points

C) parallel lines

two lines that don't intersect each other at any point

D) perpendicular lines

the two lines intersect at a right angle.

so bounded by two distinct end points that contain every point on the line between its end points: line segment

Learn more

circumference of the circle

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chord, diameter

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the steps for constructing a copy of an angle  

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Keywords: circle, arc , angle , parallel lines , perpendicular lines, line segment, end points, common point

Which expression is equivalent to the following?
21x – 15

A. 3(2x)
B. 3x(7x – 5)
C. 3(7x – 5)
D. 3(7x – 15)

Answers

C. 3(7x-5) 

Hope this helps. Plz give Brainliest! :) 
Hello,


Your answer is C. 3(7x – 5) , this is the equivalent fraction!


Hope this helps

(2p^2+7p-39) divided by (2p-7) ?

Answers


[tex](2x^2 + 7x - 39) + (2x - 7)[/tex]

Use substitution to solve the linear system of equations.
y=x-2
2x+4=y


(-6,8)
(6,8)
(-6,-8)
(6,-8)

Answers

Answer:

(-6,-8)

Step-by-step explanation:

2x+4=x-2

2x-x=-2+-4

x=-6

y=-6-2

y=-8

Which of the following equations does not represent a proportional realtionship

Answers

based upon the others,  y+1=2x doesn’t seem proportional

Describe the different types of results that will occur when preforming transformation on equations that have one solution, no solutions or infinitely many solutions.

Answers

Just to let you know i did not write this someone else on brainly did

if the variables cancel out leaving u with an untrue statement, like 0 = 4 or 2 = 6, then u will have no solutions

if the variables cancel out leaving u with a true statement, like 2 = 2 or 4 = 4, then u will have infinite solutions

if u end up with a variable equaling a number, then u have 1 solution


Read more on Brainly.com - https://brainly.com/question/6423912#readmore

Jan began with 5/6 pound of modeling clay she used 1/5 of the clay to make decorative magnets. She divided the remaining clay into 8 equal portions what is weight of the clay in each portion?

Answers

Starting weight:  5/6 lb.  Of this, Jan used 1/5, which would be (1/5)(5/6) lb, 
or 1/6 lb, leaving 4/6 lb, or 2/3 lb. unused.

                                                       2/3 lb
Now divide 2/3 lb by 8 portions:  ----------------- = (2/24) lb/portion, or 
                                                       8 portions

1/12 lb/portion.

Triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3). The triangle is translated 4 units down and 3 units left. Which rule represents the translation? After the translation, what are the coordinates of vertex C?

Answers

Answer: Correct answer is (x, y) → ( x − 3, y − 4); (5, −1)


Step-by-step explanation: Starting from point 8,3 we go down 4 on the y-axis (y-4)and stopping at -1 then we go left on the x-axis (x-3) stopping at 5.

So the new coordinate for the vertex C should read 5,-1.


After the translation , the coordinates of vertex C are ( 5 , -1 )

Further explanation

There are several types of transformations:

TranslationReflectionRotationDilation

Let us now tackle the problem!

This problem is about Translation.

The triangle is translated 4 units down and 3 units left.

The rule that represents the translation will be [tex]\left[\begin{array}{ccc}-3\\-4\end{array}\right][/tex]

Let's find the translation for every vertice of Triangle ABC:

A(-3 , 4) → A'(-3 + (-3) , 4 + (-4)) = A'(-6 , 0)

B(4 , -2) → B'(4 + (-3) , -2 + (-4)) = B'(1 , -6)

C(8 , 3) → C'(8 + (-3) , 3 + (-4)) = C'(5 , -1)

From the results above, we can illustrate the translation process as shown in the attached picture

Conclusion:

After the translation , the coordinates of vertex C are ( 5 , -1 )

Learn moreInverse of Function : https://brainly.com/question/9289171Rate of Change : https://brainly.com/question/11919986Graph of Function : https://brainly.com/question/7829758Translation : https://brainly.com/question/10929552Translation of Graph : https://brainly.com/question/12091943Transformation Of 2 Functions : https://brainly.com/question/2415963

Answer details

Grade: High School

Subject: Mathematics

Chapter: Function

Keywords: Function , Trigonometric , Linear , Quadratic , Translation , Reflection , Rotation , Dilation , Graph , Vertex , Vertices , Triangle

20 POINTS !! HELP FAST Cindy and Giovanni plan to make spaghetti sauce. Cindy needs 4 3/4 pounds of tomatoes for her recipe. Giovanni needs 5 3/4 pounds of tomatoes for his recipe. If they make both recipes, how many pounds of tomatoes do they need?

A. 1

B. 9

C. 9 1/2

D. 10 1/2

Answers

If you add both 5.75 and 4.75, you'd get 10.5, so your answer is 10 and a half, so D.
Hello,


Your answer is for sure 10 1/2

If you add both the amount of Cindy and Giovanni, it will get you D.


Hope this helps =D

Is -9 greater than 8

Answers

No, 8 is greater than -9.
no, -9 is less than 8. because,

1. -9 + 9 = 0.
2. 0 + 8 = 8

mr. brown class and mrs. farmers class collected cans for the school recycling project. mrs. farmers class collected 3 times as much as mr. browns class. together they collected 212 cans. how many cans did each class collect?

Answers

159-Mrs. Farmers class
53-Mr. Browns class
Mr.Farmer's class collected 159 cans and Mr.Brown's class collected 53 cans.

What is the constant of proportionality in the equation y=5.5x

Answers

The constant of proportionality is for every 1 x, there are 5.5 y. Because the x on a graph would represent 1, the y must represent 5.5.

Answer:

In the equation [tex]\(y = 5.5x\), \(5.5\)[/tex] is the constant of proportionality.

This equation represents a proportional relationship between [tex]\(x\)[/tex] and [tex]\(y\),[/tex] where [tex]\(y\)[/tex] is always [tex]\(5.5\)[/tex] times the value of [tex]\(x\).[/tex] Therefore, [tex]\(5.5\)[/tex] is the constant by which [tex]\(x\)[/tex] is multiplied to get [tex]\(y\).[/tex]

Explanation:

In the equation [tex]\(y = 5.5x\), \(5.5\)[/tex] represents the constant of proportionality. In a proportional relationship, one quantity is always a constant multiple of the other. Here,[tex]\(y\)[/tex] is always [tex]\(5.5\)[/tex] times the value of [tex]\(x\)[/tex]. This means that as [tex]\(x\)[/tex] increases or decreases, [tex]\(y\)[/tex] changes in direct proportion, always maintaining a ratio of [tex]\(5.5:1\)[/tex] between [tex]\(y\)[/tex] and [tex]\(x\)[/tex]. The constant of proportionality, [tex]\(5.5\)[/tex], determines the rate at which [tex]\(y\)[/tex] changes with respect to changes in [tex]\(x\)[/tex], serving as a scaling factor in the relationship between the two variables.

What is the median of 75, 63, 89, 91

Answers

First, put them in order from least to greatest. 63, 75, 89, 91. To find the middle number, add 75 and 89 together, 164, and divide by 2. The answer is 82.

What is the definition of when each input has exactly one output in a relation

Answers

The word you’re looking for is a *function*. Functions can’t have one input associated with more than one output, but multiple inputs *can* produce the same output (so-called “even functions” have this property), and the special functions where each output has exactly one input associated with it are called “one-to-one” functions.

I need the answer and work

Answers

A) 2x +3

Plug in the x

2(4.1) + 3

8.2+ 3= 11.2

A is 11.2


B) 16-5y

Plug in the y

16 - 5(2.3)

16- 11.5= 4.5

B is 4.5


C) x+y

Plug in x and y

4.1 + 2.3= 6.4

C is 6.4




Solve for r: C = 2pir.

r = C over 2 pi
r = 2 c all over pi
r = C over pi
r = pi times C all over 2

Answers

The answer would be A: R= C over 2 pi


Hope this helps :)

Enter the solution to the inequality in the box.



−9x−6≥−3(x−4)

Answers

I am not able to give the inequality symbol. I will be typing it as '>' only. I hope you will understand that it is greater than or equal to sign.

-9x - 6 ≥ -3x + 12
-9x + 3x ≥ 12 + 6
-6x ≥ 18
-x ≥ 3
x ≤-3
x + 3 ≤ 0
Range - ( -∞, 3]
Hope This Helps You!

For those of you who are confused like I was, the answer is x ≤ -3


Change 3 radians to degree measures

Answers

π radians =180∘

1 radian = tex] \frac{180°}{ \pi} [/tex]π

3 radians = [tex] \frac{540°}{ \pi} [/tex]

multiply the radians by 180pi and that will your answer
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