Calculate the following unit rates.

The cookie recipe calls for 2/3 cup of brown
sugar for 1/2 batch of cookies.

Answers

Answer 1

Using proportions, it is found that the unit rate is of 1.33 cups of brown sugar for a batch of cookies.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

2/3 cups of brown sugar are used for half a batch of cookies. The unit rate is the amount used for one batch. Hence, the rule of three is given by:

2/3 cups - 1/2 batch

x cups - 1 batch.

Applying cross multiplication:

[tex]\frac{1}{2}x = \frac{2}{3}[/tex]

[tex]x = \frac{4}{3}[/tex]

The unit rate is of 1.33 cups of brown sugar for a batch of cookies.

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Related Questions

Calculate the perimeter of the shape below

Answers

Answer:

21.2

Step-by-step explanation:

4.1 + 6.5 = 10.6

10.6 x 2 = 21.2

Which word in this excerpt from "Places" by Sara Teasdale connotes a soothing feeling?
1. Hush
2. Flaming
3. Fired
4. Desired​

Answers

Answer:

1. Hush

Step-by-step explanation:

Answer:

The answer should be D.) Desired.

Step-by-step explanation:

The definition of soothing is "having a gently calming effect",

A.) Hush, which in most cases is negative,

B.) Flaming, does not sound gentle OR calming,

B.) Fired usually comes from a negative impact, so your answer MUST and SHOULD be, D.) Desired.

The weights of hummingbirds are given below in ounces. Show whether the mean or the median is a better choice for a “typical” hummingbird’s weight and calculate it.

Data in order : 4, 5, 7, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11

Answers

Since the data-set contains outliers, the median is a better choice, and it is given of 10 ounces.

When to use the mean or the median?

It depends if the data-set contains outliers or not.

If it does, the median should be used.Otherwise, the mean should be used.

In this problem, the weights of 4 and 5 ounces are outliers, hence the median should be used. There are 19 values, hence the median will be given by the 10th value, which is 10. Hence the median is of 10 ounces.

More can be learned about the median of a data-set at https://brainly.com/question/25215461

while on vacation Ernesto travelled from us to Europe when he got there he converted his american dollar to euros he gave the bank teller 850$and was given back 630 euros at the end of vacation Ernesto has 150 euros to convert back to dollar how much money in us dollar did Ernesto have when he got home

Answers

Answer:

I think it would be 161.9 or 162


Michael solved this inequality as shown:

Step 1: -6(x + 3) + 10 < -2
Step 2: -6x − 18 + 10 < -2
Step 3: -6x − 8 < -2
Step 4: -6x < 6
Step 5: x > -1

What property justifies the work shown between step 3 and step 4?

A.
transitive property
B.
division property of inequality
C.
distribution property
D.
addition property of inequality

Answers

Answer:

D. addition property

Step-by-step explanation:

at step 3 you would have to add 8 to both sides of the inequality, so it would be the addition property

Answer:

D

Step-by-step explanation:

Explain how this shows that you can multiply numbers in any order and get the same answer.

Answers

Answer:

i dont see the problem but lets say you have 19*8*15

Step-by-step explanation:

19*8=152*15=2280

8*15=120*19=2280

any way you multiply them their always gonna add up to the same thing

Which function has a range of {y|y ≤ 5}? f(x) = (x – 4)2 5 f(x) = –(x – 4)2 5 f(x) = (x – 5)2 4 f(x) = –(x – 5)2 4

Answers

The function range of {y|y ≤ 5} is f(x)=-(x-4)^4+5.

Since the range has less than a sign, this means that the parabola is

facing downwards and it means that a is negative.

The range is given by

[tex]{y|y \leq k}[/tex]

What is the vertex form of a quadratic equation?

[tex]f(x)=a(x-h)^2+K[/tex]

Since the range is

[tex]{y|y \leq 5},[/tex]

This means that k = 5 , and since a is negative

The correct function is

[tex]f(x)=-(x-4)^4+5[/tex]

To learn more about the range visit:

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Answer: B: (f(x) = –(x – 4)2 + 5)

Step-by-step explanation:

Which equations represent nonlinear functions?
y= 2x + 7
y= 6(x-1)
y= x2+ 2
y=-5/x

Answers

Answer:

y = x² + 2

y = -5/x

Step-by-step explanation:

Linear & Nonlinear Definition:

Linear is something that is associated with a straight line such as linear equation or function. That means the highest degree of equation has to be 1 or only x.Nonlinear is something that does not form a line graph such as parabola, cubic, exponential, etc.

From choices:

Both y = 2x+7 and y = 6(x-1) are linear because they have highest degree as 1 which is only x and these equations are known as linear function.However, both y = x²+2 and y = -5/x are nonlinear because y = x²+2 forms parabola which is a curve graph and also has highest degree of 2. As for y = -5/x, this is called fractional function which also forms curve graph and the degree of this equation is -1 via law of exponent.

Therefore, y = x²+2 and y = -5/x are nonlinear.

What’s the distance between the points (-4,3) and (1,-2) on the cord I ate plane

Answers

Answer:

[tex]5\sqrt{2}[/tex] or 7.07 (rounded to hundredths place)

Step-by-step explanation:

what is the "cord I ate plane"?

Mark bought a drink for $2. 39 and chips for $1. 89. If he pays with a $20 bill, how much change will he receive?

Answers

Mark will receive $15.72

Explanation:
This is because you add $2.39 and $1.89. Then you subtract the total from $20.00.
20.00 - 4.28 = 15.72

What is the product of 5/8 x 3/4 A 8/32
B 15/32
C 8/12
D 15/12

Answers

Answer :
B
15/32
Need an explanation?
Just multiply across


Two-step inequalities
Find the solution set of the inequality
4.2 - 1< 11.

Answers

Answer:

x < 3

Step-by-step explanation:

Your inequality: 4x - 1 < 11

4x - 1 < 11

Add 1 to both sides

4x < 11 + 1

4x < 12

**Don't switch signs because no negatives nor any specifications**


Divide 12 by 4

x < 3

what is the inequality shown



Answers

Answer:

[tex]-2\leq x < 8[/tex]

Step-by-step explanation:

It is between -2 and 8, and includes -2 but not 8

$21.46 Divided By 37 I want the solution and the answer

Answers

Answer:

[tex] \frac{21.46}{37} = 0.58[/tex]

[tex]answer:$0.58[/tex]

A 10 ft extension ladder is positioned to reach 7.4 ft up a wall. How far from the wall is the foot of the ladder.

Answers

Answer:First, draw a picture.

Distance on ground = 10 feet

Length of ladder (hypotenuse) = x          [unknown for now]

Height on wall =  x-2

The Pythagorean theorem says, for a right triangle:    a2+b2=c2

    [note: the hypotenuse, c, is always the longest side]

   102  + (x-2)2  =   x2

  100 + x2 -4x + 4 =  x2       [expand using F-O-I-L]

   100 -4x + 4 = 0                [subtract x2 from both sides]

  104 - 4x = 0                    [collect terms]

    -4x = -104               [subtract 104 from both sides]

     x = 26             [divide both sides by (-4)]

Check:

  Is   102 + 242 = 262   ?

        100 + 576 = 676   ?

         676 = 676   ?yes

Step-by-step explanation:

PLEASEEE HELPPP 30 POINTSSS!!!
Professor Plum is putting a brick border around his irregular shaped garden. Before installing
the border, Professor Plum must cut the bricks to fit the angles of the garden. Use the given
measures to answer the question.
∡ = (6)°
∡ = (3 + 45)°
∡ = (7)°
∡ = (4 + 2)°
∡ = (2 + 15)°
∡ = ( − 9)°
What are the angle measures of each vertex of the garden? Show your work.

Answers

Answer:

174; 132; 203; 118; 73; 20°.

Step-by-step explanation:

1) the sum of the internal angles of the given figure is:

S=180*(n-2), where 'n' is number of the angles.

2) according to the rule above the sum of all the internal angles is 720°;

3) according to the item 2, m∠A+m∠B+m∠C+m∠D+m∠E+m∠F=720°. If all the angles are known, then it is possible to re-write this equation as:

6x+(3x+45)+7x+(4x+2)+(2x+15)+(x-9)=720;

23x=667; ⇔ x=29.

4) if x=29, then m∠A=174; m∠B=132; m∠C=203; m∠D=118; m∠E=73; m∠F=20°.

log4(2-x)=log4(-5x-18)

Answers

[tex]\log_4 (2-x) = \log_4 (-5x-18)\\\\\implies 2-x = -5x -18\\\\\implies 5x -x = -18-2\\\\\implies 4x = -20\\\\\implies x = -\dfrac {20}4\\\\\implies x = -5[/tex]

Please help me it's very important that this gets done asap

Answers

Answer:

√32 or 4√2 or 5.657 (3 d.p.)

Step-by-step explanation:

Use Pythagoras’ Theoremd² + 7² = 9²Evaluate the known squaresd² + 49 = 81Subtract 49 from both sides to make d² the subjectd² = 81 - 49 = 32d = √32 = 4√2 = 5.657 (3 d.p.)

5. Find the Mean Absolute Deviation of the set: 56, 21, 55, 30, 34​

Answers

Answer:

[tex] mean = \frac{56 + 21 + 55 + 30 + 34}{5} \\ mean = 39.2[/tex]

Explain the difference between acute, right, and obtuse angles.

Source
StylesFormatFontSize

Answers

Answer:

Acute angles measure less than 90 degrees. Right angles measure 90 degrees. Obtuse angles measure more than 90 degrees.

Step-by-step explanation:

Answer:

Skip to the bottom for image examples, read on for definitions.

Acute angles are angles less than 90 degrees.Right angles are exactly 90 degrees.Obtuse angles are 91 degrees or more.

For example, I sliced a pie, and it was an acute angle. Or I could have bought a taco and that taco has an obtuse angle, while if I just picked up a mini-square-cake, it is made of many right angles. And yes, I did draw those images myself as examples.

________________________________________________________

Look around you, there are angles everywhere! Your computer might even have a few acute and right angles in it.

________________________________________________________

What have we learned?

We learned the three main types of angles.

Related questions? Ask me in the comments box.

Hello, for those who wanted examples, you have reached the bottom. Please view the images for the examples of each angle type, definitions are not listed on purpose, I want you to guess them yourself as an easy review.

Which transformation or sequence of transformations would produce an image that is not congruent to its pre‐image?

A translation of (x − 2, y + 9)
A translation followed by a rotation
A rotation of 270 degrees about the origin
A dilation followed by a translation

Answers

Answer:

A dilation followed by a translation

Step-by-step explanation:

A dilation would change the size of the figureHence, on changing it, the transformation will form an image that is not congruent to its pre-image

The transformation or sequence of transformations that would produce an image that is not congruent to its pre-image is:

A dilation followed by a translation.

If we follow a dilation with a translation, the image will be both resized and shifted. The combination of these transformations will result in an image that is not congruent to its pre-image.

On the other hand:

A translation of (x − 2, y + 9) will shift the object without changing its size or shape. The resulting image will be congruent to the pre-image.

A translation followed by a rotation can result in a congruent image if the rotation angle and translation distance are appropriately chosen. It depends on the specific values used in the transformation.

A rotation of 270 degrees about the origin will preserve the shape and size of the object. The resulting image will be congruent to the pre-image.

To learn more about translation in geometry;

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Miguel has a kite shaped like a rhombus. The two diagonals measure 10 inches and 3 inches. What is the area of the kite?

Answers

Answer:

15

Step-by-step explanation:

26 Inches!

10 + 3 = 13

13 + 13 = 26 (10 + 10 + 3 + 3)

a construction crew is lengthening a road

Answers

it’s hard to do the math when you don’t show the answer options silly.

Answer:

Step-by-step explanation:

possible answers for both domain and range can be the following:  

all set of all real numbers from 0 to 90;

all set of all real numbers from 200 to 560;

all set of all real numbers from 4 to 200;

(90, 91, 92, 93, ..... 560) ;

90, 91, 92, 93, .......; or

0, 1, 2, 3, .... 200

A roof is constructed as shown. What is the length of the slope of the roof? Round to the nearest 10th

Answers

Answer:

Length of slope = 15.8 yd

Step-by-step explanation:

using Pythagoras theorem,

?² = 13² + 9²

?² = 169 + 81

? = √250

? = 15.8 yd

Step-by-step explanation:

According to Pythagoras theorem ,

Hypotenuse ² = Perpendicular ² + base ²

Here , we have to find the hypotenuse

perpendicular = 13ydbase = 9yd

putting the known values ,

Hypotenuse² = (13yd)²+ (9yd)²

Hypotenuse² = 169+81

Hypotenuse² = 250 yd

Hypotenuse = √250 yd

Hypotenuse = 15.8 yd

When a tangent line and a radius intersect on the surface of a circle,
which of the following holds true?

Answers

Answer:

c

Step-by-step explanation:

When a tangent line intersects with a radius of a circle at the point of tangency, they will be perpendicular. Tangent lines that meet two different circles. Since a tangent line is perpendicular to the radius of the circle, extend the radius outside of the circle.

PLS PLS PLS PLS HELP WITH THIS MATH

Answers

Answer:

Step-by-step explanation:

Sequence 1      Sequence 2     Ordered Pair

9                            5                       (9,5)

11                            8                       (11,8)

13                           11                       (13,11)

15                           18                      (15,18)  

17                            20                    (17,20)


Please help I am confused:)

Answers

y=2 .×+6 5

Step-by-step explanation:

#CARRY ON LEARN

PA BRAINLIEST PO

don't spam!! complete answe= Brainliest answer​

Answers

Answer:

Step-by-step explanation:

1) [tex]\sf v_{f} =v_{i} +gt[/tex]

       = 50 + (-9*8) *1

       = 50 - 9.8

       = 40.2 m/s

2) The acceleration of the ball at its maximum height equals to the force of gravity. -9.8 m/s²

3) The velocity at its top of the path:When the ball is thrown straight up, its velocity keeps on decreasing due the pull of gravity which pulls it towards the ground. So, the velocity at the top of its path is zero.

Please help I will give
BRAINLY
5 STARS
and a THANKS

Answers

Answer:

19, 39

Step-by-step explanation:

10 colums w/ 2 rows = 20 with 1 non blue = 19 blue blocks

20 columns w/ 2 rows = 40 with 1 non blue = 39 blue blocks

The two cones below have the same radius, height, and volume. are the two cones congruent? explain and include details to support your claim.

Answers

The cones are not congruent because one cone is oblique, which makes the length of the slant heights different.

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

The two cones below have the same radius, height, and volume.

One cone is oblique.

The cones have different slant heights.

The lengths of all corresponding edges are not equal.

Since, Congruent cones must have congruent corresponding measures, including slant height.

The cones are not congruent because one cone is oblique, which makes the length of the slant heights different.

Learn more about congruent;

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Answer:

Sample Response: The cones are not congruent because one cone is oblique, which makes the length of the slant heights different. Having the same radius, height, and volume does not make the cones congruent when the corresponding slant heights are not equal. Congruent cones must have congruent corresponding slant heights, with all other corresponding parts being congruent.

What did you include in your response? Check all that apply.

One cone is oblique.

The cones have different slant heights.

The lengths of all corresponding edges are not equal.

Congruent cones must have congruent corresponding measures, including slant height.

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