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The simplest form of the proportion is 2/3

here , it is give that colin picks 3 times as many cola bottles as smarties and twice as many smarties as marshmallows. To simplify this let us suppose colin pic a number of marshmallows then number of smarties he pic will be 2a and also the number of cola bottles will be 6a.

What is proportion ?

A proportion is an equation based on the equality of two ratios.

Therefore, the proportion of the bag of sweets are cola bottles will be :

[tex]\begin{aligned}\frac{6a}{a+2a+6a}&=\frac{6}{9}\\&=\frac{2}{3}\end{aligned}[/tex]  

Therefore, The simplest form of the proportion is 2/3

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The measure of the angle shown is 280°

From the question, we are to determine the measure of the angle shown

For the given protractor,

The measure between any two lines is 10°.

Also, there are 10 tick marks between any two lines.

∴ 15 tick marks will have a measure of 15°

Then,

The measure of a protractor showing an angle going through the fifteenth tick mark after two hundred sixty five degrees will be

265° + 15° = 280°

Hence, the measure of the angle shown is 280°

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Answer:

B. 3.5

Step-by-step explanation:

I believe this is correct :')

Answer:

The new dimensions are 6 ft and 4 ft.

Step-by-step explanation:

Let x = side of original square.

The sides are increased by 3 ft and 1 ft, so the new side lengths of the rectangle are

x + 3 and x + 1

The area of the rectangle is length × width.

area = (x + 3)(x + 1)

area = x² + 4x + 3

The area is 24 ft².

x² + 4x + 3 = 24

x² + 4x - 21 = 0

(x + 7)(x - 3) = 0

x + 7 = 0 or x - 3 = 0

x = -7 or x = 3

x + 3 = 3 + 3 = 6

x + 1 = 3 + 1 = 4

The new dimensions are 6 ft and 4 ft.

Answer:

A

Step-by-step explanation:

You have to use intercept theorem, also known as Thales's theorem to slove

Answer:

expected value is $4.5

Step-by-step explanation:

expected value is $4.5

The ratio of Nathan's nickels to dimes to quarters is 4 : 4 : 17.

Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained within other value(s).

The ratio = 8 : 8 : 34 = 4 : 4 : 17

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Answer:

x² - 22x + y² + 18y + 58 = 0

Step-by-step explanation:

Using the equation of a circle :

(x - h)² + (y - k)² = r²

Solving :

Substitute 11, -9, 12 in place of h, k and r respectively.

Answer: 20x  + 20

Step-by-step explanation:

    We will distribute the four into the expressions to expand, then we will simplify.

   Given:

4(2x + 3) + 4(3x + 2)

   Distribute:

8x + 12 + 12x + 8

   Combine like terms with addition:

20x + 20

                   20x  + 20

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the solution to the inequality:

[tex]\star~\large\pmb{\cfrac{x}{9}+3 < 4}[/tex]

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

Step 1.

[tex]\star~\large\pmb{\cfrac{x}{9} < 4-3}[/tex]

[tex]\star~\large\pmb{\cfrac{x}{9} < 1}[/tex]

Step 2.

[tex]\star~\large\pmb{\cfrac{x}{9}\times9 < 1\times9}[/tex]

Notice that on the left, the 9s cancel, and we're left with x.

Step 3.

[tex]\star~\large\pmb{x < 9}[/tex]

This is the solution.

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Answer:

x < 9

Step-by-step explanation:

Given:  

[tex]\dfrac{x}{9} + 3 < 4[/tex]

1. Subtract 3 from both sides of the inequality

[tex]\dfrac{x}{9} + 3 - 3 < 4 - 3\\\\\implies\dfrac{x}{9} < 1[/tex]

2. Multiply both sides of the inequality by 9

[tex]9\left(\dfrac{x}{9}\right) < 1(9)\\\\\implies x < 9[/tex]

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Answer:

A process where you must look for terms that have identical variable parts and then combine their coefficients

Step-by-step explanation:

Combining like terms is adding or subtracting terms that have the same variable parts.

Answer: A process where you must look for terms that have identical variable parts and then combine their coefficients

Triangle EFG has vertices E(-2, 1), F(-1, 4), and G(3, 4). Graph the figure and its image after a clockwise rotation of 90° about vertex F. Then write the coordinates of triangle E'F'G'.

Answer:

9x7=63

Step-by-step explanation:

just use a calculator for multiplication

The product of 9 and 7 is 63. In other words, the result of multiplying 9 and 7 is 63.

To find the result of multiplying 9 and 7, by follow a step-by-step process.

First, start by writing the multiplication expression as 9 multiplied by 7.

Next, multiply the digit in the ones place of the first number (9) with the digit in the ones place of the second number (7).

In this case, 9 multiplied by 7 equals 63.

Then, move to the tens place of the second number (7) and multiply it with the digit in the ones place of the first number (9).

Since there is no digit in the tens place of the first number, skip this step.

Finally, add the products obtained from the previous steps.

In this case, there is only one product, which is 63.

Therefore, the result of multiplying 9 and 7 is 63.

Multiplication is a fundamental arithmetic operation used to determine the total value when a number is repeated a certain number of times. In this case, multiplying 9 by 7 represents adding nine 7s together.

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Answer:

8

Step-by-step explanation:

[tex]P = \{3,6,9\}\\\\\text{Number of elements,}~ n = 3\\\\\text{Number of subset} = 2^n = 2^3 = 8[/tex]

Answer:

x = √41  which is 6.40 to the nearest hundredth.

Step-by-step explanation:

x^2 = 4^2 + 5^2      (By the Pythagoras theorem)

x^2 = 16 + 25 = 41

x = √41.

Answer:

answer would be.. B= 11 miles

Answer:

we need the full question

The lines that represent the following system of linear equations.

2s +1.5y = -60

2s + y = -50

will intersect at (-15, -20)

The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.

Slope is a ratio of change in y-coordinate w.r.t. change in x-coordinate. The net change in y coordinate is written as, Δy and the net change in x coordinate is written as, Δx.

Given,

System of linear equations

2s +1.5y = -60

2s + y = -50

After plotting both the graphs we can see that, point of intersection is  (-15, -20)

Hence, The point of intersection is (-15, -20)

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Answer:

the third option in the list

Step-by-step explanation:

the numbers down below qre the coefficients of the equations above

Answer:

2x^3 - 7x^2 + 4x - 3

Step-by-step explanation:

Multiply them all together.

Answer: x = 0.75

Step-by-step explanation:

3x+x - 3 =0

4x - 3=0

4x = 3

x = 0.75

Answer:

decimal form; 0.22222...

exact form; 2/9

Step-by-step explanation:

Answer:

The choice second . a=18/3 and b = 32/4

Step-by-step explanation:

[tex]a + 3 = 18 \\ a = 18 - 3[/tex]

[tex]4b = 32 \\ \\ b = \frac{32}{4} [/tex]

Answer:  The probability of picking a black bead is 4/7, because there are 4 black beads out of seven.  But if you took the first black bead out of the equation then the probability is now 3/7.

Answer:

angle A is 63 degrees,

angle B is 57 degrees

Step-by-step explanation:

first, let's create the equation. Pretty simple, because angles a and b become 120 degrees when added up, this this will become:

2x+3+2x-3=120

now, we make it simpler. In this case, just add up the numbers that we can add up. this eventually becomes:

4x=120

now, all we need to do is divide 120 by 4, which becomes 30. So, x=30.

substitute the 30 into the x in the original equation, and this becomes:

60+3+60-3=120

63+57=120

thus, angle A is 63 degrees, and angle b is 57 degrees.

The median is 6.5.

The first quartile is 5.

The third quartile is 8.

The interquartile range is 3.

The numbers in the dot plot are: 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 22

Median is the number in the middle of the dataset.

Median = 1/2 ( n + 1)

1/2 x 21 = 11.5th number = (6+ 7) / 2 = 6.5

First quartile = 1/4 x (n + 1)

1/4 x 21 = 5.25th number = 5

Third quartile = 3/4 x (n + 1)

3/4 x 21 = 15.75th number = 8

Interquartile range = 8 - 5 = 3

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Answer: Heyaa! ~

Your Answer would be.. =4

Step-by-step explanation:

Hopefully this helps you ! ^^

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$500\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &15 \end{cases} \\\\\\ A=500\left(1+\frac{0.06}{1}\right)^{1\cdot 15}\implies A=500(1.06)^{15}\implies A\approx 1198.28[/tex]

Answer:

A because the volume of the adult softball is 28.7309120146 inches and the youth softball is 22.4492975038 inches and when u subtract them u get about 6.3 cubic inches :)

Step-by-step explanation:

:)

Answer: IT A!

Step-by-step explanation: