Chika's uncle makes perfect brownies. Chika noted how much sugar he uses based on how many batches he makes:
Number of batches 222 333 444
Sugar (\text{kg}kgstart text, k, g, end text) 0.60.60, point, 6 0.90.90, point, 9 1.21.21, point, 2
Chika has 2.25\,\text{kg}2.25kg2, point, 25, start text, k, g, end text of sugar, and she wants to make as many batches as possible for a bake sale. She can make partial batches, and she has more than enough of the other ingredients.
How many batches can Chika make?

Answers

Answer 1

Proportionately, the number of batches that Chika can make with 2.25kg of sugar is 7.5.

What is proportion?

Proportion is the ratio of a variable in the whole.

Proportion shows how much quantity is contained in a variable.

Proportions are represented in decimals, percentages, and fractions.

Data and Calculations:

Number of Batches    2      3      4

Sugar (kg)                  0.6   0.9   1.2

Proportion of sugar

 per batch                 0.3  0.3   0.3

Chika's sugar ingredient = 2.25 kg

The number of batches Chika can make = 7.5 (2.25/0.3)

Thus, the number of batches that Chika can make with 2.25kg of sugar is 7.5.

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Answer 2
Lets find how much sugar makes 1 batch. That will help you write an equation you can use to find how many batches you can make with 2.25 kg of sugar. So each batch uses 0.3 kg of sugar so you can type/write an equation to find the amount of sugar in any batches
[tex]s=0.3b[tex]
you could rewrite so the batch is by itself
b= s/0.3
Let's find the value of b when s= 2.25
b= s/0.3 (like before)

b =2.25/0.3


Related Questions

Which measurement is closest to the circumference of the circle in square centimeters

Answers

Answer:

the measurement of the circumference of a circle is 21

Find the value of x.
(4x12)°
(7x-28)

Answers

The value of x in the angles is 20

How to determine the value of x?

The angles are given as

4x - 12 and 7x - 28

These angles are same side interior angles

So, we have

4x - 12 + 7x - 28 = 180

Collect the like terms

So, we have

4x + 7x  - 12 - 28 = 180

Evaluate the like terms

So, we have

11x  = 220

Divide both sides by 11

x= 20

Hence, the value of x in the angles is 20

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use addition properties and strategies to find the sum 13 + 26 + 54=

Answers

Answer:

93

Step-by-step explanation:

13 + 26 = 39

39 + 54 = 93

The answer is 93 (hope this helps)

√58 what would be the answer to this?

Answers

The square root of 58 is around 7.6

The entire number is, 7.61577310586...

Simplify the given expression. Write your answer with positive exponents.
(x^-4/ y^3)^-7

Answers

Step-by-step explanation:

(x^-4 / y³)^-7 = x²⁸ / y^-21 = x²⁸ / 1/y²¹ = x²⁸y²¹

A muffin recipe calls for one 3rd cup of milk and one 4th cup of oil how much liquid is needed for the recipe?

Answers

7/12 is needed for the recipe.

you have to find the least common denominator which is 12. then multiply 1 from 1/3 by 4 and 1 from 1/4 by 3 and then add 4/12 and 3/12 together.


Math

The product of 84.12 and which number will have three decimal places?

Answers

The product of 84.12 and 19.3 will have three decimal places.

Here, we are given a number 84.12. As we can see this number has 2 decimal places. We need to find a number such that when it is multiplied by 84.12, the result has 3 decimal places.

Let us look at each option one by one,

1. 4.22

4.22 has 2 decimal places and hence if we we multiply it by 84.12, it will give us 4 decimal places. Thus, it is not the correct option.

2. 10.51

Again, 10.51 has 2 decimal places and hence if we we multiply it by 84.12, it will give us 4 decimal places. Thus, it is not the correct option.

3. 14.163

14.163 has 3 decimal places and hence if we we multiply it by 84.12, it will give us 5 decimal places. Thus, it is not the correct option.

3. 19.3

19.3 has 1 decimal place and hence if we we multiply it by 84.12, it will give us 2 decimal places. Thus, 19.3 is the correct option.

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Your question was incomplete. Check for full content below-

The product of 84.12 and which number will have three decimal places? 4.22

10.51

14.163

19.3

2(x-1)+5(x-9) Show your work please!

Answers

Step-by-step explanation:

2(x-1) + 5(x-9)

2x - 2 + 5x - 45

2x + 5x - 2 - 45

7x - 47

Answer:

2x -2 + 5x -45       7x -47

Step-by-step explanation:

2*x = 2x

2*-1 = -2

5*x =5x

5*-9 = -45

i need to find X i really dont feel like doing this

Answers

Here you go! Hope this helps

Answer:

x=80 degrees

Step-by-step explanation:

Since the angle is supplementary with the 100 degree angle, then the angles must equal 180 degrees.

[tex]180-100=80[/tex]

Juan and Mahdi are to run a race, but Juan can run 18 meters per second, whereas Mahdi can run 6 meters per second. If Mahdi has a 228 -meter head start, how long will it be before the faster runner catches the slower runner, if they begin at the same time? Round your answer to the nearest whole number.

Answers

Answer:

  19 seconds

Step-by-step explanation:

You want to know the time it takes for Juan, running 18 m/s, to overtake Mahdi, running 6 m/s, if Mahdi has a 228 meter head start.

Closing time

The time to close the gap between the runners will be ...

  time = distance/speed

  time = (228 m)/(difference in speeds) = (228 m)/(18 m/s -6 m/s)

  time = (228 m)/(12 m/s) = (228/12) s = 19 s

It will take Juan 19 seconds to catch Mahdi.

__

Additional comment

The fastest human runner will not exceed 12.3 meters per second, especially over a 300+ meter distance.

What is the distance of this line segment?

Answers

Answer:

5 studs (3^3)

(3^3) = 5

Step-by-step explanation:

Find the value of "x" from the given figure...
[tex]....................[/tex]

Answers

Answer:

x = 21 cm

Step-by-step explanation:

is a rhombus formed by 4 right triangles, let's consider the small / large couple

the triangle at the top and the triangle at the bottom are rectangles

we can solve with the Pythagorean theorem.

we find the side (cathetus) of the small one

c² = 10² - 8²

c² = 100 - 64

c² = 36

c = √36

c = 6 cm

we find the side (cathetus) of the largest

c² = 17² - 8²

c² = 289 - 64

c² = 225

c = √225

c = 15 cm

now we add the results and we have x

6 + 15 =  

21cm

Answer:

21 cm

Step-by-step explanation:

Let M be the point of intersection of the diagonals AD and BC.

[tex]\implies x=\sf AD=AM+MD[/tex]

As ΔAMD and ΔBMD are right triangles, use Pythagoras Theorem to work out the lengths of AM and MD.

Pythagoras Theorem

  [tex]a^2+b^2=c^2[/tex]

where:

a and b are the legs of the right triangle.c is the hypotenuse (longest side) of the right triangle.

[tex]\begin{aligned}\implies \sf BM^2+AM^2 & =\sf AB^2\\\sf 8^2+AM^2 & = \sf 10^2\\\sf 64+AM^2 & = \sf 100\\\sf AM^2 & = \sf 100-64\\\sf AM^2 & = \sf 36\\\sf AM & = \sf \sqrt{36}\\\sf AM & = \sf 6\:\: cm\end{aligned}[/tex]

[tex]\begin{aligned}\implies \sf BM^2+MD^2 & =\sf BD^2\\\sf 8^2+MD^2 & = \sf 17^2\\\sf 64+MD^2 & = \sf 289\\\sf MD^2 & = \sf 289-64\\\sf MD^2 & = \sf 225\\\sf MD& = \sf \sqrt{225}\\\sf MD& = \sf 15\:\: cm\end{aligned}[/tex]

Therefore:

[tex]\begin{aligned}\implies x & =\sf AM+MD\\x & = \sf 6+15\\x & = \sf 21\:\:cm\end{aligned}[/tex]

So the value of [tex]x[/tex] from the given figure is 21 cm.

Evaluate the expression:
2
3
+
6

Answers

89999 i hope it helps

[tex]\huge\text{Hey there!}[/tex]


[tex]\huge\textbf{Assuming}[/tex]

[tex]\mathsf{\dfrac{2}{3} + 6}[/tex]


[tex]\huge\textbf{If so:}[/tex]

[tex]\mathsf{\dfrac{2}{3} + 6}[/tex]

[tex]\mathsf{= \dfrac{2}{3} + \dfrac{6}{1}}[/tex]

[tex]\mathsf{= \dfrac{2}{3} + \dfrac{6\times3}{3\times1}}[/tex]

[tex]\mathsf{= \dfrac{2}{3} + \dfrac{18}{3}}[/tex]

[tex]\mathsf{= \dfrac{2 + 18}{3 - 0}}[/tex]

[tex]\mathsf{= \dfrac{20}{3}}[/tex]

[tex]\mathsf{= 6 \dfrac{2}{3}}[/tex]


[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{20}{3}\ or\ 6 \dfrac{2}{3}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]



~[tex]\frak{Amphitrite1040:)}[/tex]

Solve: x0.09=0.81. Round to the hundredths place. Do not include "x=" in your answer.

Answers

The value of x in the equation x0.09 = 0.81 is 9

How to determine the value of x?

The equation is given as

x0.09 = 0.81

Rewrite the above expression properly

So, we have:

x * 0.09 = 0.81

Divide both sides by 0.09

So, we have:

x = 0.81/0.09

Evaluate

x = 9

Hence, the value of x in the equation x0.09 = 0.81 is 9

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Are you confident that you can round 7.396 to the nearest hundredth

Answers

Answer:

7.4

Step-by-step explanation:

When the decimal in any place is more than 0.5, round up.

Select all figures that have at least one line of symmetry.​

Answers

Answer:the heart and planet are the only ones

Step-by-step explanation:

the clover looks like maybe but the stem is curved. the planet the line goes verticle through the rings

PLEASE LIST THEM I NEED HELP!

Answers

Answer:

{(1,0),(3,0),(0,-3),(-3,0),(-4,-4)}

Step-by-step explanation:

This is all I could get from the cropped out picture.

The graph of the curve C with equation y = f(x) is transformed to give
the graph of the curve S with equation y = f(-x) - 5
The point on C with coordinates (8, 3) is mapped to the point Q on S.
Find the coordinates of Q

Answers

Answer:

(-8,-2)

Step-by-step explanation:

f(-x) - 5 is horizontally reflected and moved down 5 units  from f(x)

So first reflecting we get
(-8,3)
Then moving down 5 units we get
(-8.-2)

if this was helpful pls give me brainliest <3

3z+6+4z+9+8u combine like terms

Answers

Answer:

8u + 7z + 15

Step-by-step explanation:

Let's solve the problem,

→ 3z + 6 + 4z + 9 + 8u

→ 8u + (3z + 4z) + (6 + 9)

→ 8u + 7z + 15

Thus, solution is 8u + 7z + 15.

Answer:

8u±7z±15

Step-by-step explanation:

3z±6±4z±9±8u

8u±3z±4z±9±6

8u±7z±15

Hope its helpful for you

How many times larger is 6.945 × 1010 than 1.5 × 108?

463
216
21.6
4.63

Answers

Answer:

The only answer is 46.3. I'm not sure whether or not you mixed up one of the decimals, but this is the only answer out of the others.

I hope this helps.

The number 6.945 × 10¹⁰ is 463 times more than 1.5 × 10⁸. As a result, option A is right and the other choices are false.

What is a Fraction?

A fraction is a number that, when stated mathematically, designates a component of a whole. A fraction is a portion or division of any whole, which could be any number, a specific sum, or an actual object.

The horizontal bar known as the fractional bar divides the numerator and denominator of every fraction into these two halves.

There are several types of fractions, some of them are :

Proper fractionImproper fractionUnit fractionMixed fractionEquivalent fraction

According to the question,

(6.945 × 10¹⁰) / (1.5 × 10⁸)

= 463

Hence, it is concluded that 6.945 × 10¹⁰ is 463 times more than 1.5 × 10⁸.

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What is the area? 7 yd 6 yd

Answers

Answer:

Brainliest pls

Step-by-step explanation:

42sq yds

as the first step in solving 3x-1=8, Stella multiplies by 1/3 on both sides. what advice would you give her about the procedure for solving equations

Answers

Before multiplying both sides of the equation by 1/3, first move the -1 over to the right side with a plus, so we get 3x = 9. Then multiply by 1/3 and you get x = 4

Answer:for solving equations your trying to get the x by itself so multiplying 1/3 on both sides doesn't eliminate 1 so that you can have 3x by itself

Step-by-step explanation:hope that helps

Using the slope formula, find the slope of the line through the given points.
(9,4) and (6,7)

Answers

Answer:

The slope of the line is -1.

We can find this by using the slope formula, where [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]. Substitute in our points; [tex]\frac{7-4}{6-9} =\frac{3}{-3}[/tex]. Remember that a negative in either the numerator or the denominator of a fraction makes the entire fraction negative, so [tex]\frac{3}{-3}=-\frac{3}{3}[/tex] Remember that an identical numerator and denominator is equal to 1. Same rule applies here, except it's negative, so the slope of the line is -1. You can see this in action if you were to use a graphing tool. I recommend checking out desmos graphing calculator.

Mary's birthday is between June 13 and June 23. The date of her birthday is not an even number. The sum of the digits is 3. When is Mary's birthday​

Answers

Answer:

Step-by-step explanation:

possible two digit numbers with sum 3 are 03,12,21,30

only 21  is between 13 and 23.

Mary's birthday is June 21.

Write a rule to describe each transformation.

Answers

Transfomation using X and Y co-odrinate points

K(-3,2) , L(-4,3), M(-3,3), N(-1,2) → K'(0,2) , L'(-1,3) , M'(0,3), N'(2,2)

What is a transformation ?

Transformations of co-ordinates can be calculated by taking reference from the original figure to the transformed figure by adding or subtrating the point values depending upon where they have transformed in X and Y co-ordinate.

In the given figure there are 4 points  K,L,M,N and they have been transformed to  K', L',M',N' each point having X and Y co-ordinate values.

K has moved 3 units right so 0

L has moved 3 units right so  -1

M has moved 3 units right so 0

N has moved 3 units right so 2

      K(-3,2) , L(-4,3), M(-3,3), N(-1,2) → K'(0,2) , L'(-1,3) , M'(0,3), N'(2,2)

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the temperature was 75 degrees. at noon, the temperature increased by 7. by evening the temperature decreased by 7

Answers

Answer:

75

Step-by-step explanation:

75 + 7 = 82


82 - 7 = 75

Line segment AB has a midpoint M. The coordinates of point A are (-5,8) and the coordinates of point M are (-1,-3) what are coordinates of point B

Answers

Answer: (-4,7)

Step-by-step explanation:

((12-4)(3-2))^2 + square root of 64

Answers

Answer: 72

Step-by-step explanation: First step that I did was to subtract 12 and 4 to get 8. I then subtracted 3 and 2 to get 1. Then since 8 and 1 are in the parenthesis, I multiplied 8 and 1 to get 8. 8 to the 2nd power then comes out to 64. 64 adding the square root of 64 which is 8 then comes out to 64 plus 8 because the square root of 64 is 8. 64 plus 8 equals 72.

Multiply (-1 13/14) x (1 5/9) what is the product? enter your answer in the box​

Answers

Answer: -3

Step-by-step explanation:

turn mixed numbers into improper fractions, simplify, and solve- see attached

Answer:

-3

Step-by-step explanation:

to find the answer first turn both numbers into improper fractions

-1 13/14 becomes -27/14

1 5/9 becomes 14/9

now multiply them

[tex]\frac{-27}{14} * \frac{14}{9}[/tex]

you can cancel out the 14s

[tex]\frac{-27}{1} * \frac{1}{9}[/tex]

now divide 9 to the top of the first fraction and to the bottom of the second one

[tex]\frac{-3}{1} * \frac{1}{1}[/tex]

now multiply

-3/1 is your answer

that is basically -3

The sum of three consecutive numbers is 33 more than the smallest of the numbers. Find
the numbers.

Answers

Answer:

15, 16 and 17

Step-by-step explanation:

Consecutive numbers mean numbers that are separated by 1 from each other. For example 5, 6 and 7 are three consecutive numbers and 5 is the smallest

Let the smallest number be x
Then the next consecutive number is x + 1  
The next one after that is x + 2

Sum = x + x + 1 + x + 2 = x + x + x + 1 + 2 = 3x + 3

We are told that this sum is 33 more than the smallest number x

So 3x+3 = x + 33 Subtract x from both sides
3x - x + 3 = x + 33 -x
==>  2x + 3 = 33

Subtract 3 from both sides
==> 2x + 3 - 3 = 33 -3
==> 2x = 30
Divide both sides by 2

==> 2x/2 = 30/2
==> x = 15

So the smallest number is 15 and the three numbers are 15, 16 and 17

Verify by adding 15+16 +17 = 48
15 + 33 = 48 so consistent

A: The three consecutive numbers are 15, 16, 17.

Explanation:

Let x, y, z be the numbers.

x + y + z = x + 33

y = x + 1

z = x + 2

We will solve this system of equations using the substitution method.

x + x + 1 + x + 2 = x + 33

x + x + x - x = 33 - 1 - 2

2x = 30

x = 15

y = 15 + 1 = 16

z = 15 + 2 = 17

Solving for x + y + z = x + 33:

15 + 16 + 17 = 15 + 33

48 = 48

A: 15, 16, 17.

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