The students in Ms. Baca's art class were mixing yellow and blue paint. She told them that two mixtures will be the same shade if the blue and yellow paint are in the same ratio. How many different shades of paint did the students make?

The series: 2 + 4 + 6 +.... is an arithmetic series

The sum of T41 to T47 is 616

The series is given as:

2 + 4 + 6 +....

The above series is an arithmetic series with the following parameters:

Initial value, a = 2

Common difference, d = 2

Start by calculating S40 using the sum of n terms formula

[tex]S_n = \frac n2 * [2a + (n - 1)d][/tex]

So, we have:

[tex]S_{40} = \frac {40}2 * [2*2 + (40 - 1)*2][/tex]

[tex]S_{40} = 1640[/tex]

Calculate S47 using the same formula

[tex]S_{47} = \frac {47}2 * [2*2 + (47 - 1)*2][/tex]

[tex]S_{47} = 2256[/tex]

Subtract S40 from S47

[tex]S_{47} - S_{40} = 2256 - 1640[/tex]

[tex]S_{47} - S_{40} = 616[/tex]

Hence, the sum of T41 to T47 is 616

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Answer: A

Step-by-step explanation:

She found the ratio of the circumference to the sector. not the ratio of the sector to the circumference.

Answer:

16 or (4^2)

Step-by-step explanation:

4^3 * 4^-1

When multiplying exponents with the same bass, the exponents themselves can be added.

3 + -1 = 2

4^2 = 16

16 is your answer!

The probability that the average petal length will be between 1.3 and 1.6cm will be 0.5328.

From the complete question, x has an approximately normal distribution with a mean of 1.5cm and standard deviation of 0.2cm.

The associated probability for z values will be found in the normal distribution table and the probability will be subtracted. This will be:

= 0.6915 - 0.1587

= 0.5328

In conclusion, the probability that the average petal length will be between 1.3 and 1.6cm is 0.5328.

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Answer:

do 1/4 x 10=2 1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

At y-intercept, the value of x = 0

Plug in x = 0 in the equation

(0 +4)( 0+2) = y

y = 4*2

y = 8

Y-intercept (0,8)

An equation is marked out by the presence of the equality sign. From the calculation, the solution to the equation is x = 12/37.

The term equations refers to any mathematical statement that involves the equality sign.

Here we have the equation;  37x = 12, the first step is to divide both sides by 37 as shown;

37x/37 = 12/37

This leaves us with the result x = 12/37 which is the solution to the equation.

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Step-by-step explanation:

If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence. The constant difference in all pairs of consecutive or successive numbers in a sequence is called the common difference, denoted by the letter d.

Answer:

d. 242..................

Answer:

d

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 3 and d = 5, thus

[tex]S_{11}[/tex] = [tex]\frac{11}{2}[/tex] [ (2 × - 3) + (10 × 5) ]

      = 5.5(- 6 + 50)

       = 5.5 × 44

       = 242 → d

Answer:

the third one, EF = RQ or FD=QS

Answer:

it is the third box

hope this helps

Check the picture below.

Answer:

Rounded: 7.580

Not rounded: 7.5795

Step-by-step explanation:

We fist need to turn the percent into a decimal then we can multiply it :)

8.15 x 0.93

7.580

Have an amazing day!!

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Answer:

150th customer

Step-by-step explanation:

To find this we would need the lcm lowest common factor of 30 and 75

LCM 30 = 2,5,3,1

LCM 75 = 3,5,5

H.C.F = 2,3,5,5

         = 150

the 150th custome would be getting both gift.

The median of Shona data is 35, while the median for Miguel is 40. The range of Shona and Miguel are 35 and 30 respectively

A box plot provides the summary of a data using the five number summary that is minimum, lower quartile, median, upper quartile and maximum.

The median of Shona data is 35, while for Miguel is 40.

The range of Shona = 60 - 25 = 35

The range of Miguel = 55 - 25 = 30

The median of Shona data is 35, while the median for Miguel is 40. The range of Shona and Miguel are 35 and 30 respectively

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The simpler form of the expression  [tex]\rm \frac{sin\theta sec\theta}{cos\theta tan\theta}[/tex]  is  [tex]\\\rm sec\theta[/tex].

It is given that the expression  [tex]\rm \frac{sin\theta sec\theta}{cos\theta tan\theta}[/tex]

It is required to find the simpler form from the given options.

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

We have the expression:

[tex]\rm= \frac{sin\theta sec\theta}{cos\theta tan\theta}[/tex]

We know:

[tex]\rm cos\theta = \frac{1}{sec\theta} \\\\\rm tan\theta = \frac{sin\theta}{cos\theta}[/tex]

By using these trigonometry formulas, we get:

[tex]\rm= \frac{sin\theta sec\theta}{cos\theta tan\theta}\\\\\rm= \frac{sin\theta }{(cos\theta) (cos\theta) \frac{sin\theta }{cos\theta} }\\\\\rm= \frac{1}{cos\theta} \\\\\rm = sec\theta[/tex]

Thus, the simpler form of the expression [tex]\rm \frac{sin\theta sec\theta}{cos\theta tan\theta}[/tex]  is [tex]\\\rm sec\theta[/tex].

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Answer:

option A: sec Ø

Step-by-step explanation:

Answer:

[tex]\sqrt{10}[/tex]

The correct answer is C

Step-by-step explanation:

d=√((x_2-x_1)²+(y_2-y_1)²)

=(−1−2)2+(4−3)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√

=(−3)2+(1)2‾‾‾‾‾‾‾‾‾‾‾‾√

=9+1‾‾‾‾‾√

=1‾√0

=3.162278

Answer:

the fist one = 160 - 24

the second one = 12.50 / 5

Step-by-step explanation:

Answer:

15. equation: g+24=160, and the answer is g=136

16. equation: 5d=12.50, answer is d=3.5 hours

17. 15 cakes are made when the cost is $395

Step-by-step explanation:

15: You know that there are 160 students in 7th grade. This would be on one side of the equal sign. You know that there are 24 more students in the 7th grade class than the 8th grade class. And we know that g represents the number of students in the 8th grade class. So you set up your equation as g+24=160. You would subtract 24 from both sides: g+24-24=160-24, which gives you g=136.

16: You spend $5 an hour, so, on one side, you will have 5. On the other you will have $12.50. We will let d represent dollars, and it will go with the 5 to give us 5d. The equation is 5d=12.50. From there, you will divide 5 from both sides: 5d/5=12.50/5, which gives you d=3.5.

17:  So, we have the equation, and we just plug in what we know. So, $395=24n+35. From there, we will subtract 35 from both sides. That would give us $395=24n and we will divide 24 from both sides to give us n=15 cakes.

Answer:

1. by going in circles on this ride we wouldn't fall off due to the seat belts that we fasten both forces are implied to this ride to make us go faster and not fall off

2. Ac=9 Fc=.9

Step-by-step explanation:

since Ac=v^2/r and r=1 and Fc=m(v^2/r) and m=.1 we can use this formula to get 9 and .9

3^2=9 9/1=9

.1(3^2/1)=.1*9=.9

Answer:

19.01

Step-by-step explanation:

24.60 - 8% = 22.632

Your going to round and its gonna be 22.63

Now your gonna subtract 16% from 22.63 = 19.0092

If you round your total will be 19.01

I hope this helps!

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Answer:

Step-by-step explanation:

2 easy ways:

1. Divide 7 by 3 then multiply by 2

7/3= seven thirds or 2.333

Now multiply by two to get 14 thirds

or 4.666

2. Multiply 7 by 2/3, or 0.666

This way is a lot easier with a

calculator

The weight of the box is 14/3’s or 4.666

The two parallel lines will be b and d in the given question

From the figure, we can see that

Angles formed by lines b and a are 89. 5 degrees

Angles formed by lines c and a are 91.5 degrees

Angles formed by lines d and a are 89.5 degrees

Angles formed by lines e and a are  88.5 degrees

Angles formed by lines f and a are   90.5 degrees

Since the angle formed by line b with a and d with a are equal that is 89.5

so these two lines will never intersect each other

But other lines have varied angles then they can intersect at one point

Thus the two parallel lines will be b and d in the given question

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Answer:

3/2

Step-by-step explanation:

There are a lot of fractions that equal 1.5, but if you're asking for the most simplified fraction, 3/2 is the answer.

Answer:

b

Step-by-step explanation:

i took the test

Answer:

Step-by-step explanation:

Answer:

[tex]y-7=-6(x-1)[/tex]

Step-by-step explanation:

So first you need to find the slope of the line. You do this by doing [tex]m=\frac{y^{2}-y^{1}}{x^{1}-x^{2}}[/tex]. You would plug the points from the line into the equation to get [tex]m=\frac{1-7}{5-4}[/tex], and when you simplify you would get [tex]m=\frac{-6}{1}[/tex] or [tex]m=-6[/tex]. This means your slope is -6.

Now, point slope form is written as [tex]y-y^{1} = m(x-x^{1} )[/tex] so to write the equation you would plug in the slope and the first point to get [tex]y-7=-6(x-1)[/tex]

Answer:

9/3

Step-by-step explanation:

12x43=168

168 divided by 56=3

Answer: sorr i onlyknow ti ar

Step-by-step:

Daniel is...remember "is" in a word problem means "equal"

So Daniel=x+26. x representing Daniel's son's age which we do not know.

In six years he will be three times his son's age, "times" meaning multiplication.

Daniel+6=3x, so just equate the two equations. So you must solve;

x+26=3x-6. From there I think you could handle things.