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The ratio of blue paint to the total paint in the mixture is 5:8.

Given:

In the figure, there are 10 blocks of blue paint and 6 blocks of red paint.

Total paint in the mixture = 10+6 = 16

Ratio of blue paint to total paint = 10/16 = 5/8

Therefore, the required ratio is 5:8.

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For the linear function y = 2/3x + 1 given in this problem, we have that:

a) The slope is of 2/3 and the intercept is of 1.

b) The y-intercept is marked at y = 1 on the y-axis.

c) Using the slope and the intercept, point (3,3) is the second point used to graph the function.

d) The graph of the linear function y = 2/3x + 1 is given at the end of the answer.

In slope-intercept format, a linear function is defined as follows:

y = mx + b.

For this problem, the function is:

y = 2/3x + b.

Hence:

From the intercept, we know that point (0,1), which has x = 0 and y = 1, is part of the graph of the function.

Considering the concept of the slope, of change in y divided by change in x, we have that:

Hence point (3,3) also belongs to the graph of the given function. Given two points, we can graph a line passing through them, hence the graph is given at the end of the answer, and represents the function y = 2/3x + 1.

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Answer:

1/216

Step-by-step explanation:

[tex] \frac{1}{6} \div 6 \div 6[/tex]

[tex] \frac{1}{6} \div \frac{6}{1} \div \frac{6}{1} [/tex]

[tex] \frac{1}{6} \times \frac{1}{6} \times \frac{1}{6} [/tex]

[tex] \frac{1}{216} [/tex]

Answer:

$2070

Step-by-step explanation:

→ Find the total cost of 12 months

750 + ( 12 × 110 ) = 2070

The simplified equation is sin(2x) = 2

The trigonometry ratio is given as

2sinxcosx/sin^2x+cos^2x-1= 1

Rewrite the equation of the trigonometry formula properly

So, we have the following equation

2sin(x)cos(x)/sin^2(x)+cos^2(x) -1 = 1

Add 1 to both sides of the equation

So, we have the following equation

2sin(x)cos(x)/sin^2(x)+cos^2(x) = 2

Express 2sin(x)cos(x) as sin(2x)

So, we have the following equation

sin(2x)/sin^2(x)+cos^2(x) = 2

Express sin^2(x)+cos^2(x) as 1

So, we have the following equation

sin(2x)/1 = 2

Multiply both sides by 2

So, we have the following equation

sin(2x) = 2

Hence, the simplified equation of the trigonometry formula is sin(2x) = 2

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Insurance -  A financial service that protects a consumer

Liability - A responsibility to pay for or to fix a problem

Compensate - To pay the value of something that has been lost or stolen

Premium - The amount of money a consumer must pay an insurance company

Deductible - The money of a consumer must pay for a claim before the policy takes over

Insurance is a legal agreement, evidenced by a policy, under which a policyholder receives financial security or compensation from an insurance provider against losses.

Liability is a general phrase that refers to many types of coverages to assist in defending you or your company in the event that a claim or lawsuit is made against you or your organization.

The amount that the insurance provider has agreed to pay for insured losses that are mentioned in your policy is referred to as "compensation."

You pay a premium when you purchase an insurance policy. Your recurring payments for many popular insurance products, such as life, car, business, homeowners, and renters, are known as premiums.

The sum of money you must contribute to an insured loss is known as a deductible.

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The probability distribution table corresponds with the given frequency distribution table is option (D)

Probability is defined as the ratio of number of favorable outcome to the total number of outcomes. The value of the probability varies from 0 to 1.

Probability =  Number of favorable outcomes / Total number of outcomes

The total frequency = 3+7+2+3+5

= 20

The probability of each outcomes

Substitute the values in the equation

p(1) = 3/20 = 0.15

p(2) = 7/20 = 0.35

p(3) = 2/20 = 0.1

p(4) = 3/20 = 0.15

p(5) = 5/20  = 0.25

Hence, the probability distribution table corresponds with the given frequency distribution table is option (D)

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Answer:

Solve the inequality & graph the answer. 3)>2 14 A) v> 280: 10 B) v<--: 7 C) v> -34: D) v<-34: 11110 276 278 280 282 284 286 7 O 0 2 ++++++ +0 -40 -38 -36 -34 -32 -30 -40 -38 -36 -34 -32-30

Step-by-step explanation:

To change the number from scientific notation to normal number multiply 9.9 by 10^7

The number is 99,000,000

Answer:

150°

Step-by-step explanation:

Both the measure of <1 and <2 are 150°

Given:

The triangle FTP and triangle JTA is given.

In the given triangles,

As only three angles of both triangles are similar we can not say that the given traingles are congruent.

So, Option A is correct.

This is an improper fraction since the absolute value of the numerator (1677) is greater than the absolute value of the denominator (203). We can say that this fraction cannot be reduced.

Answer: {(12, 3), (11, 2), (10, 1), (9, 0), (8, 1), (7, 2), (6, 3)}

Step-by-step explanation:

Each value of x corresponds to only one value of y, making the relation a function.

Answer

Largest Area that can be enclosed = 361250 m²

Explanation

Let the length of the fencing along the river be L

Let the width of the fencing be W

A sketch of the problem will make it clearer

Perimeter = L + 2W

Perimeter is giving as the total length of the fencing to be 1700 m

L + 2W = 1700

L = 1700 - 2W

The area of the structure is given as

Area = LW

The area is what we want to maximize

Recall, L = 1700 - 2W

Area = LW = (1700 - 2W) × W = 1700W - 2W²

A = 1700W - 2W²

At maximum point, the derivative of any function is zero

Hence,

(dA/dW) = 1700 - 4W

At maximum point,

(dA/dW) = 0

1700 - 4W = 0

4W = 1700

Divide both sides by 4

(4W/4) = (1700/4)

W = 425 m

Recall, L = 1700 - 2W

L == 1700 - 2(425)

L = 1700 - 850

L = 850 m

Maximum Area

= (Length at maximum area) × (Width at maximum area)

= 850 × 425

= 361250 m²

Hope this Helps!!!

By definition, a sample space is a collection or a set of possible outcomes of a random experiment. In our problem, we have four different outcomes. A, B, C and D. This is our sample space

Regarding perfect squares, it is found that:

Perfect square expressions are formed with the notable products of the square of the sum or the square of the subtraction, as follows:

The constant term of perfect squares, in both cases, is given by:

b².

Since the number is squared, it will always be a positive value, meaning that a negative constant term guarantees that the polynomial is not a perfect square.

The polynomial with a negative constant in this problem has a constant of -121, hence it is not a perfect square.

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Answer:

She should pour 11.68 more grams

Step-by-step explanation:

If Melissa wanted to pour 30.78 grams of salt into a container and already has poured 19.1 grams she should pour 11.68 grams more

The triangles PTS and POR are similar, so we can take the ratios of the side to order

We can then solve for x by collecting like terms

180x - 150x = 390 + 60

30x = 450

Divide both sides by 30

x = 450/ 30

x = 15

The Zeros of the polynomial function partially graphed below have even multiplicity are x = -3 and x = 3.

The zeros of a Polynomial graph are simply the points where the graph curve crosses the x-axis.

In simply terms, the Zeros of a function are the values of the independent variable that make the function equal to 0. Multiplicity just refers to how many copies of a given zero exist.

From the given graph, the zeros of the Polynomial function are x = 2 and x = 3 and x = -3

An odd multiplicity means the graph of the function crosses the x-axis at that point. An even multiplicity means the curve contacts the x-axis at that point and backs instead of crossing.

Thus, the odd multiplicity is at x = 3

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Answer:

3/5

Step-by-step explanation:

You can first start small, seeing that both numbers are positive we can divide them by 2, and you will then get 18/30. They are still both positive so you can reduce it by 2, you will then get 9/15. Now that they are both odd you can tell they are both a multiple of 3, when you divide them by 3 you get 3/5. When you finish dividing your numbers to smaller numbers, when you notice they can not reduce to any other number, you have your simplest term.

Answer:

3/5

Step-by-step explanation:

You can first start small, seeing that both numbers are positive we can divide them by 2, and you will then get 18/30. They are still both positive so you can reduce it by 2, you will then get 9/15. Now that they are both odd you can tell they are both a multiple of 3, when you divide them by 3 you get 3/5. When you finish dividing your numbers to smaller numbers, when you notice they can not reduce to any other number, you have your simplest term.

Answer: 9 - 5x

Step-by-step explanation:

6 + (3 - 5x) = 6 + 3 - 5x = 9 - 5x

An expression for the amount of money (in nickels) in n dollars is 20n nickels.

A nickel is a five-cent coin produced by the United States Mint that is made of a copper-nickel alloy rather than silver. Because 100 cents equal one dollar and one nickel equals five cents, we conclude that 20 nickels are equivalent to one dollar.

To write an expression for the amount of money (in nickels) in n dollars,

Convert the n dollars to nickels.

1 dollar = 20 nickels

So, n dollars = 20n nickels

The required expression for the amount of money (in nickels) in n dollars is 20n nickels.

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We can see that the value of k is -3, then the line is:

y = -3*x + 4

By finding two points of the line, we can graph the line like in the image you can see below.

Here we have the following linear equation:

y = k*x + 4

We know that this line goes through the point (2, -2), then we can replace these values in the above equation so we get the value of k.

-2 = k*2 + 4

Solving this, we can find the value of k.

-2 - 4 = k*2

-6 = k*2

-6/2 = k = -3

So the value of k, the slope of the line, is k = -3.

Then the line is:

y = -3*x + 4

If we evaluate in x = 1, we get:

y = -3*1 + 4 = 1

So, at this point we know that the line passes through points (1, 1) and (2, -2).

Now we can draw these two points on a coordinate axis, and then connect them with a line. That will be the graph of the linear equation.

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The linear function passing through the point (2,-9) that is perpendicular to the line y=x+6 is:

y = -x -7.

A linear function is modeled according to the following rule:

y = mx + b.

The coefficients of the linear function are as follows:

When two lines are perpendicular, the multiplication of their slopes is of -1.

For this problem, the line is perpendicular to line y = x + 6, which has slope 1, hence:

m = -1.

Then:

y = -x + b.

When x = 2, y = -9, hence we use this to find the intercept b as follows:

-9 = -2 + b

b = -7.

Hence the rule is:

y = -x -7.

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Answer:

Step-by-step explanation:

In the given expression :

we need to find the value of n at which, an = -24

Thus, at n=3, the an = -24

Answer:

Step-by-step explanation:

4 x - 5 y + z = 9z = - 27 + 6 x + 8 y3 x

Answer:

see explanation

Step-by-step explanation:

(a)

the angles shown are alternate interior angles and are congruent

(c)

since they are congruent , then

27x - 5 = 130 ( add 5 to both sides )

27x = 135 ( divide both sides by 27 )

x = 5

(d)

then

27x - 5 = 27(5) - 5 = 135 - 5 = 130

The linear equation is 3x+4y=7. The solution to the equation 3x+4y=7 is unique.

Given that,

The linear equation is 3x+4y=7

Any equation with a maximum degree of 1 is said to be linear. No variable in a linear equation, thus, has an exponent greater than 1.The graph of a linear equation is always a straight line.

There are numerous options if x and y are not positive integers (natural numbers), thus it is best if they are.

The x and y are positive integers so it is a unique solution.

Therefore, The solution to the equation 3x+4y=7 is unique.

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Given:

1 = 1²

1 + 3 = 2²

1 + 3 + 5 = 3²

1 + 3 + 5 + 7 = 4²

1 + 3 + 5 + 7 + 9 = 5²

1 + 3 + 5 + 7 + 9 + 11 = ___

Let's find the answer and determine the pattern.

Here, we have:

1 + 3 = 4

Now, write the sum as a perfect square:

4 = 2²

For the third equation:

1 + 3 + 5 = 9

Now, write the sum as a perfect square:

9 = 3²

This means the result will be the sum written as a perfect square.

Thus, we have:

1 + 3 + 5 + 7 + 9 + 11 = 36

Now, let's write the sum (36) as a perfect square:

36 = 6²

Therefore, we have:

1 + 3 + 5 + 7 + 9 + 11 = 6²

• ANSWER:

6²