Jenna mixed two shades of purple paint. For Purple People Eater, she used 3 pints of red paint for every 5 pints of blue paint. For Purple Majesty, she used a blue to red paint ratio of 7 to 4 . Compare the ratios of red paint to blue paint.
The ratio for Purple People Eater can be expressed in fraction form as
.

The ratio for Purple Majesty can be expressed in fraction form as
.

To compare these fractions, rewrite them with a common denominator of
.

The ratio of red paint to blue paint in Purple People Eater is
the ratio in Purple Majesty.

Answer:

10+3i

Step-by-step explanation:

Subtract 3 and 1 which is 2, Now the equation looks like this:

(12+3i)-(2)

Multiply the negative with 2:

12+3i-2

Subtract 12 and 2:

10+3i

Answer: 10+3i

Hope this helps!

Answer: The revenue of last year = 33,345

Step-by-step explanation:

35% = .35 Percentage to decimal

51,3000 x .35 = 17,955 Find the increase

51,300 - 17,955 = 33,345 Subtract it from this year to find last year

Check: 33,345+ (51,300 * .35) = 51,300 Do the reverse to check.

Brainliest please?

Answer:

dil krai chu chai chu chai chuu

Answer:

Positive

Step-by-step explanation:

It is going up from left to right

Hope this helps

Answer:

Positive.

Step-by-step explanation:

As you go along the x axis and the values of x increase, the values of y also increase. For example, at x = 2 the value of y is 1, and at x = 8 the value of y is 4. This means that the values of y are always increasing as you go up the x axis, so the slope is positive.

You can also tell this from the shape - the line, if read from left to right, is going up, so is positive.

Answer:

Slope = 5/3

Step-by-step explanation:

See attached image

The given statement " If two sounds can form a minimal pair, they are allophones of two distinct phonemes." is true. because when two sounds can form a minimal pair, it demonstrates that the difference between the sounds is crucial for distinguishing the meaning of the words in the language as a result these sounds cannot be considered as allophones of the same phoneme, as they do not share the same underlying representation.

A minimal pair refers to two words that differ in only one sound but have different meanings. For example, "bat" and "pat" differ only in their initial consonants, /b/ and /p/, but have distinct meanings. This difference in meaning indicates that the two sounds are part of separate phonemes.

Phonemes are the basic, abstract units of sound in a language that can change the meaning of a word when substituted for one another. Allophones, on the other hand, are the various concrete realizations of a phoneme that do not change the meaning of a word. They are considered to be different surface forms of the same underlying phoneme.

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The simplified expression for (B/4b) + (7/16b+28) is (4B+7(b+7/4)) / (16b(b+7/4)). None of the given options are equivalent to this expression.

To simplify the expression (B/4b) + (7/16b+28), we first need to find a common denominator for the two fractions. The common denominator for 4b and 16b+28 is 16b, so we can rewrite the expression as:

(B/4b) + (7/16b+28) = (4B)/(16b) + (7)/(16b+28) = (4B)/(16b) + (7)/(16(b+7/4))

Now, we can combine the two fractions by finding a common denominator. The common denominator is 16(b+7/4), so we need to multiply the first fraction by (b+7/4)/(b+7/4):

(4B)/(16b) + (7)/(16(b+7/4)) = (4B(b+7/4))/(16b(b+7/4)) + (7(4b))/(16(b+7/4)4b)

= (4B(b+7/4) + 28)/(16b(b+7/4)) = (4B+7(b+7/4))/(16b(b+7/4))

Therefore, the simplified expression is (4B+7(b+7/4))/(16b(b+7/4)).

None of the given options are equivalent to this simplified expression.

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The vertices of the triangle after the reflection over y = -x are \(\left[\begin{array}{ccc}3&-3&-3&-3&-6&-3\end{array}\right]\)

The vertices of the triangle are given as

\(\left[\begin{array}{ccc}3&6&3&-3&3&3\end{array}\right]\)

The transformation rule is given as

Reflection over the line y = -x

Mathematically, this rule is represented as

(x, y) → (-y, -x)

This means that we negate the x-coordinates and the y-coordinates, and then swap the x and the y coordinates

When this rule is applied, we have

\(\left[\begin{array}{ccc}3&-3&-3&-3&-6&-3\end{array}\right]\)

Hence, the reflection would produce \(\left[\begin{array}{ccc}3&-3&-3&-3&-6&-3\end{array}\right]\)

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Answer:

∠JTS≅∠RST

Step-by-step explanation:

ss already there, just needs the angle in the middle

Answer:

Step-by-step explanation:

One side is congruent, one side is common= congruent

Need to add the angle between them

Answer:

Step-by-step explanation:

finding x°:

since 83° and x° are alternate angles:

x° = 83°

also angleABC is x°

The class that lost the most pencils overall based on the data displayed is D. Mr. Johnson's class; it has a wide spread in the data

The answer is Mr. Johnson's class. The median is the middle value in a set of data. In Mr. Johnson's class, the median is 11 pencils. This means that half of the students in his class lost 11 or fewer pencils, and half of the students lost 11 or more pencils.

In Mr. Simpson's class, the median is 14.5 pencils. This means that half of the students in his class lost 14.5 or fewer pencils, and half of the students lost 14.5 or more pencils.

Since the median for Mr. Johnson's class is lower than the median for Mr. Simpson's class, we can conclude that Mr. Johnson's class lost more pencils overall.

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The distance from y=[5,5] to the line through u=[6,8] and the origin is 1 units.

The length of the line segment connecting any two places is referred to as their distance. In coordinate geometry, the distance between two points can be computed by measuring the length of the line segment connecting the two points.

The length of the line segment connecting any two places represents the distance between them. There is just one line that connects the two places. So, by measuring the length of the line segment that connects the two sites, the distance between them may be determined.

The objective is to compute the distance from y to the line through u and the origin.

\(y=\left[\begin{array}{c}5&5\end{array}\right] and \ u=\left[\begin{array}{c}6&8\end{array}\right]\)

from the  slope - intercept on the graph, the equation of line can be expressed as :

y = mx + b

where;

m = slope = \(\frac{y_2-y_1}{x_2-x_1}\)

b = y - intercept,

Similarly, we are being informed that the line  passed through \(u=\left[\begin{array}{c}6&8\end{array}\right]\)  and origin, so ;

x1 = 0, y1 = 0

x2 = 6, y2 = 8

slope = \(\frac{y_2-y_1}{x_2-x_1}\)

m = 8/6 = 4/3.

Also, since the line pass through the origin:

Then

y = mx + b

0 = m(0) + b

b = 0

From y = mx + b

y = mx + (0)

y = mx

3y = 4x

3y - 4x = 0

4x - 3y =0

The distance of a point (x,y) from a line ax +by + c = 0 can be represented with the equation:

\(d=\frac{|ax+by+c|}{\sqrt{a^2+b^2} }\)

The distance from \(y=\left[\begin{array}{c}5&5\end{array}\right]\)  to the line 4x - 3y = 0  is:

\(d=\frac{|4x-3y+0|}{\sqrt{4^2+3^2} }\\\\d= \frac{20-15}{\sqrt{25} } \\\\d=5/5\\\\d=1\)

The distance from y = [5,5] to the line through u = [6,8] and the origin is 1 units.

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In triangle DEF, with a 90° angle at vertex E, the angle at vertex D is acute, and the triangle is a right triangle. Option B, D.

If triangle DEF has a 90° angle at vertex E, it means that the angle formed by the two sides that meet at vertex E is a right angle. Based on this information, we can determine which statements are true.

Triangle DEF is an obtuse triangle: False

An obtuse triangle is a triangle with one angle greater than 90°. Since we know that angle E is a right angle (90°), triangle DEF cannot be an obtuse triangle.

The angle at vertex D is acute: True

An acute angle is an angle that measures less than 90°. In triangle DEF, since angle E is a right angle (90°), the other two angles, at vertices D and F, must be acute angles.

The angle at vertex F is obtuse: False

Similar to statement 1, an obtuse angle measures greater than 90°. Since we know angle E is a right angle (90°), the other two angles, at vertices D and F, cannot be obtuse angles.

Triangle DEF is a right triangle: True

A right triangle is a triangle that has one angle measuring 90°. Given that angle E is a right angle, triangle DEF is indeed a right triangle.

The angle at vertex D is obtuse: False

An obtuse angle measures greater than 90°. Since we know that angle E is a right angle (90°), the angle at vertex D cannot be obtuse. It is an acute angle.

Therefore, the correct statements are:

The angle at vertex D is acute.

Triangle DEF is a right triangle. So Option B, D is correct.

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Note the complete question is

If triangle DEF has a 90° angle at vertex E, which statements are true?

a.) Triangle DEF is an obtuse triangle.

b.) The angle at vertex D is acute.

c.) The angle at vertex F is obtuse.

d.) Triangle DEF is a right triangle.

e.) The angle at vertex D is obtuse.

Answer:

-2

Step-by-step explanation:

given:

f(x) = x² + 8x + 10

for f(-6), simply substitute x = -6 into the right side of the equation

f(-6)

= (-6)² + 8(-6) + 10

= 36 - 48 + 10

= -2

The rate of change of the annual u.s. factory sales in 2000 is 7.7 billion dollars per year

From the question, we have the following parameters that can be used in our computation:

s(t) = 0.12t² − t + 5.7

In 2000, we have the value of t to be

t = 2000 - 1990

Evaluate

t = 10

So, we have

s(10) = 0.12 * 10² − 10 + 5.7

Evaluate

s(10) = 7.7

Hence, the rate in 2000 is 7.7 billion dollars per year

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Question

the rate of change of annual u.s. factory sales (in billions of dollars per year) of consumer electronic goods to dealers from 1990 through 2001 can be modeled as s(t) = 0.12t2 − t + 5.7 billion dollars per year

Calculate the rate of change in 2000

Answer:

Line A

Step-by-step explanation:

Any line facing towards the left side of the coordinate plane will have a negative slope.

Line C is facing towards the right

Line D and B doesn't have a slope

A is the only right answer

The distance between the Trolley Train and the Silly Slide is; 3 units

Suppose that we have two points with coordinates given (x₁, y₁)  and (x₂, y₂). The shortest distance between them is given by the formula;

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

In the context of this problem, the coordinates of the Trolley Train and the Silly Slide are given as follows:

Trolley Train: (2, -6).

Silly Slide: (2, -3).

Thus;

d = √[(-3 - (-6))² + (2 - 2)²]

d = √9

d = 3

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Answer:

4. a) y = 3x -2

4. b) y = (2x)/3 -11/3

5. y = -(3x/4) +6

Answer: 13r + 20

Ok done. Thank to me :>

Answer:

Step-by-step explanation:

What is the simplified form of (6r+7)+(13+7r)

(6r + 7) + (13 + 7r)

6r + 7 + 13 + 7r =

13r + 20

Answer:

See Explanation

Step-by-step explanation:

I will answer this question with the attached square pyramid

From the attached pyramid, we have:

\(Base\ Length = 20m\)

So, the base area is:

\(Area = Length * Length\)

\(A_1= 20m*20m\)

\(A_1= 400m^2\)

The dimension of each of the 4 triangles is:

\(Height = 16.4m\)

\(Base = 20m\)

So, the area of 4 triangles is:

\(Area = 4 * 0.5 * Base * Height\)

\(A_2 = 4 * 0.5 * 20m * 16.4m\)

\(A_2 = 656m^2\)

So, the surface area is:

\(Area = A_1 + A_2\)

\(Area = 400m^2 + 656m^2\)

\(Area = 1056m^2\)

Answer:

36 answered correctly

Step-by-step explanation:

Hey there!

Well 90% of 40 is 36.

This is true because 90% as a fraction not simplified is 36/40 and when we do,

36 ÷ 40 we get .9.

And we move the decimal places 2 times to the right in .9 and we get 90%.

Hope this helps :)

Answer:

36

Step-by-step explanation:

Answer:

(X*9)+5=7

Step-by-step explanation:

the value of x for the given algebraic expression will be 1 or -1/4.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Given an algebraic expression √(15x+10) = 2x + 3

Simplifying the expression

=> √(15x+10) = 2x + 3

square both sides

=> 15x + 10 = (2x +3)²

=>  15x + 10 = 4x² + 9 +12x

compare the same variables

=> 4x² -3x -1 = 0

=> 4x² - 4x +x -1 = 0

=> 4x(x -1) +1( x+1) =0

=> x = 1, -1/4

therefore, the value of x for the given algebraic expression will be 1 or -1/4.

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Answer:

$11.75

Step-by-step explanation:

In order to solve this problem, you divide $47.00/4. When you do that, you get $11.75

Answer:

Multiplication

Step-by-step explanation:

First multiplication 5x8=40 divided by 2 = 20 add back the three so the equation is now 20+3 =23 The final answer

Go by the order PEMDAS

P-Peretnahesis-there is none so skip this step

E-Exponents-There is none so skip this step

M-Multiplication-and division are mixed so whichever one  comes first you do and then do the multiplication and division operations in the order they go

D-Division & multiplication are mixed so whichever one comes first you do and then do the multiplication and division operations in the order they go.

A-Addition and subtraction are mixed so whichever one  comes first you do and then do the multiplication and division operations in the order they go

S-Subtraction-and addition are mixed so whichever one  comes first you do and then do the multiplication and division operations in the order they go

The 308915776 6-letter names that are possible, assuming that the first letter has to be a capital letter.

Given that the first letter in the name has to be a capital letter and the number of letters in the name is 6, find how many 6-letter names are possible.There are 26 capital letters in the English alphabet. Since the first letter must be a capital letter, we have 26 choices for the first letter.There are 26 lowercase letters in the English alphabet. We have 26 choices for each of the 5 remaining letters of the name.Using the multiplication principle of counting, the total number of possible 6-letter names with a capital first letter is:26 × 26 × 26 × 26 × 26 × 26=26⁶= 26 * 26 * 26 * 26 * 26 * 26 = 308915776 Therefore, there are 308915776 6-letter names that are possible, assuming that the first letter has to be a capital letter.

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This criterion can be defined based on the desired level of accuracy or when the change in the estimated parameters falls below a certain threshold.

When implementing a program for a nonlinear problem using the least square adjustment technique, it is essential to determine a termination condition. This condition dictates when the program should stop iterating and provide the final estimated parameters. A common approach is to set a convergence criterion, which measures the change in the estimated parameters between iterations.

One possible criterion is to check if the change in the estimated parameters falls below a predetermined threshold. This implies that the adjustment process has reached a point where further iterations yield minimal improvements. The threshold value can be defined based on the desired level of accuracy or the specific requirements of the problem at hand.

Alternatively, convergence can also be determined based on the objective function. If the objective function decreases below a certain tolerance or stabilizes within a defined range, it can indicate that the solution has converged.

Considering the chosen termination condition is crucial to ensure that the program terminates effectively and efficiently, providing reliable results for the nonlinear problem.

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Answer:

D

Step-by-step explanation:

Answer:

undefined

Step-by-step explanation:

The slope of a vertical line is undefined