A bowl filled with lollipops is 3/4 full. 2/3 of these lollipops are green. What fraction of the full bowl are the green lollipops?

We need to mix 15 ml of 28 % of solution to get the resulting mixture as a 13 % sugar mixture.

Let the amount of 28 % sugar solution be x ml.

We are given that:

10 % sugar solution = 75 ml

Total solution = 75 ml + x ml

We need the solution to be 13 % sugar solution.

So, we get that:

28 % x + 10 % ( 75 ) = 13 % ( 75 + x )

28 x + 750 = 13 ( 75 + x )

28 x + 750 = 975 + 13 x

28 x - 13 x = 975 - 750

15 x = 225

x = 225 / 15

x = 15

Therefore, we need to mix 15 ml of 28 % of solution to get the resulting mixture as a 13 % sugar mixture.

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Answer: (-4,7)

Step-by-step explanation:

Answer:

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.

c² = 10² - 8²

c² = 100 - 64

c² = 36

c = √36

c = 6 cm

c² = 17² - 8²

c² = 289 - 64

c² = 225

c = √225

c = 15 cm

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:

[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.

Answer:

93

Step-by-step explanation:

13 + 26 = 39

39 + 54 = 93

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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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.

The square root of 58 is around 7.6

The entire number is, 7.61577310586...

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

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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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

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.

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 :

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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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.

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.

Answer:

4/x = 5/21.98 ; x=17.584

Step-by-step explanation:

subes la x al otro lado , multiplicas el 21.98 con el 4 y luego lo divides entre 5, así resulta q x es igual a 17.584

Answer:

ehuyqkqbdksjs

usual

Menem

Menem.nsmsm.

sus

meme

meme

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

[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]

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.

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

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.

Answer:

0.064

Step-by-step explanation:

To convert just muiltiply the percent by 100.

Answer:

7.4

Step-by-step explanation:

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

Answer:

Domain: [-2, infinity)

Range: [-4, infinity)

Step-by-step explanation:

There's only one graph I see.

Domain is how far the graph extends on the x axis.

Range is how far the graph extends on the y axis.

Answer:

The value of x = 17

Step-by-step explanation:

=> 4x + 2 = 70°

=> 4x = 70 - 2

=> 4x = 68

=> x = 68/4

=> x = 17

Answer: 15

Step-by-step explanation:

order all the numbers from least to greatest and then find the one in the middle

Answer:

the measurement of the circumference of a circle is 21

Answer:

1. A = {x:x is the set of natural number <= 10}

2. E = {x:x is the set of natural number <= 8}

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)

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The value of x in the angles is 20

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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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 standard deviation is a statistic that describes the degree of volatility or dispersion in a set of numerical values. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

High sample size is typically crucial in order to be able to draw generalizations from a sample, aside from avoiding bias. Since the sample size is modest, it will thus be possible to draw general conclusions about the study utilizing a larger sample, in my opinion.

The size of the sample has a significant impact on whether an experiment is legitimate. The central limit theorem states that as sample size rises, the sample mean approaches the population means value.

Because of this, generalizing from just five samples regarding a population of city dwellers won't produce a result that can be generalized.

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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