If the annual interest from the two investments totaled $780, how much did she invest in each account?

Answer:

Step-by-step explanation:

452.39 is the area

The equation for age of dog and cat is d = c - 3.

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.

Given Elijah's dog is 3 years younger than his cat,

and  Let d represent his dog's age and c represent his cat's age,

when cat age is c,

dog age will be 3 less than c, which is c - 3

the equation is d = c - 3

Hence the equation is d = c - 3.

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Answer:

He has 40 cans in each box

Step-by-step explanation:

8 x 5 = 40

5yz^2-z-24y+77 contain 5 terms .

In this question ,

This expression 5yz^2-z-24y+77 contains 5 terms.

The first term is 5yz^2.

The second term is -z.

The third term is -24y.

The fourth term is +77.

The fifth and final term is +77.

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5yz^2-z-24y+77 contain 5 terms .

In mathematics, the terms of an expression are the individual parts of the expression. Each term is separated from other terms by a plus sign ("+") or a minus sign ("-").

Terms can be numbers, variables, or a combination of the two. A term might also include coefficients, which are numbers that are multiplied by the variables.

In algebra, the terms of an expression are usually combined using addition, subtraction, multiplication, and division. Each term can be evaluated separately, and the result of the evaluation will be the result of the entire expression.

For example, the expression 5x + 3 can be evaluated by multiplying 5 times x and then adding 3 to get the result. The terms of the expression are 5x and 3.

In this question ,

This expression 5yz^2-z-24y+77 contains 5 terms.

The first term is 5yz^2.

The second term is -z.

The third term is -24y.

The fourth term is +77.

The fifth and final term is +77.

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Answer:

Expression: (65+25)÷10(12-17)

simplification:
45

Answer:

1 - False

2 - False

3 - True [for prism which can separate white light into 7, i.e, ordinary prism]

4 - False [for the type of prism stated above]

5 - True

Step-by-step explanation:

If you can, get a picture of a normal prism and look at it. There are MANY different types of prisms. The answers I have given above are only applicable to the prism we refer to normally, i.e., the pyramid-like shaped one.

Answer:

Step-by-step explanation:

To find the measure of angle B in the triangle, we can use the fact that the measures of the angles in a triangle always add up to 180 degrees.

We know that the measure of angle A is 112 degrees and the measure of angle C is 40 degrees, so we can set up the following equation:

A + B + C = 180

Plugging in the known values, we get:

112 + B + 40 = 180

Solving for B, we find that the measure of angle B is 28 degrees.

Therefore, the missing angle of the triangle is 28 degrees.

The value of the numerical expression 11 - 2 · [5 - {5² + 2}] will be 55.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The numerical expression is given below.

⇒ 11 - 2 · [5 - {5² + 2}]

Simplify the numerical expression, then we have

⇒ 11 - 2 · [5 - {5² + 2}]

⇒ 11 - 2 · [5 - {25 + 2}]

⇒ 11 - 2 · [5 - 27]

⇒ 11 - 2 · (-22)

⇒ 11 + 44

⇒ 55

The value of the numerical expression 11 - 2 · [5 - {5² + 2}] will be 55.

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The probability P(not purple) is (a) 64%

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

2 red, 4 green, 10 yellow, and 9 purple marbles.

This means that

P(not purple) = (not purple)/Total

Substitute the known values in the above equation, so, we have the following representation

P(not purple) = (2 + 4 + 10)/(2 + 4 + 10 + 9)

Evaluate

P(not purple) = 64%

Hence, the probability is 64%

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The height of triangle A ABC is 4 units.

What is the triangle's height, h?

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The value of the expressions are:

a) -x(1 + x)

b) 16xy

c) -2x²/y

d) -6xyz (3z + x)

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

a)

-x - x²

= -x(1 + x)

b)

8x³y4z² ÷ 2x²y²z²

= 32x³yz² / 2x²y²z²

= 16xy

c)

12x² ÷ -6y

= 12x² / -6y

= -2x²/y

d)

-18xyz² + (-6)x²yz

= -6xyz (3z + x)

Thus,

The value of the expression is:

a) -x(1 + x)

b) 16xy

c) -2x²/y

d) -6xyz (3z + x)

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Answer:
y = 2x + 4

If this help please set brainly brainliest.

Step-by-step explanation:

The slope-intercept form of the line shown in the graph is indeed y = 2x + 4.

To arrive at this equation, we used the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept. The slope was calculated to be 2 using the formula: slope = (y2 - y1) / (x2 - x1) = (4 - 0) / (0 - (-2)) = 4/2 = 2.

The y-intercept of the line is the point where the line crosses the y-axis, which in this case is (0,4). Substituting the values for the slope and y-intercept into the slope-intercept form gives us the equation y = 2x + 4.

The picture is enough to prove the triangles congruent with the pattern

Congruency simply means equivalent.  So two triangles are equivalent in the following conditions

The two triangles are ΔIJH and ΔKHJ

ΔIJH has two given sides with an included angle

Also, ΔKHJ has two given sides with an included angles

This is to say that the two triangles have SAS each

In conclusion, the two triangles are congruent

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Answer: 12.8

Step-by-step explanation:

Just do 0.32 x 40.

The economy size of spray fixative contains 2.70 ounces.

For the stated question-

Thus,

Convert mixed number in improper fraction:

6 2/3 = 20/3

and, 1 2/5 = 7/5

Now, the number of ounces =  20/3 / 7/5

number of ounces =  20*5 /3*7

                               =  100/37

                               =  2.70

number of ounces =  2.70

Thus, the economy size contains 2.70 ounces.

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When compared to green and yellow, which have diameters of 6 and 8, respectively, blue has a 1.5 cm diameter.

A circle is created in the plane by each point that is a specific distance from another point (center). Thus, it is a curve made up of points that are separated from one another by a defined distance in the plane. Additionally, it is rotationally symmetric about the center at every angle. Every pair of points in the plane of a circle, which is a closed two-dimensional object, are equally separated from the "center," and a line through the circle generates a specular symmetry line. Additionally, it is rotationally symmetric about the center at every angle.

given

diameter green = 6 cm

diameter yellow = 8 cm

diameter of total = 13 cm

diameter of blue = diameter of total - ( diameter yellow + diameter green )

= 1.5 cm

When compared to green and yellow, which have diameters of 6 and 8, respectively, blue has a 1.5 cm diameter.

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Given that f(x) = 3(1.04)* denotes an exponential growth function and that the growth factor is bigger than 1, exponential growth is assumed. Growth is exponential and is occurring at a 4% annual growth rate.

The exponential growth function and exponential decay are the two different kinds of exponential functions. The exponential growth function is represented by the equation f (x) = bx when b > 1. When 0 b 1, the exponential decay function, f (x) = bx, is what is being represented.

Continuous growth is tracked throughout time via exponential functions. Bacterial development, compound interest, and radioactive decay are some typical examples from the real world. The exponential decay function is represented by the equation f (x) = a (1 r) x, where is the initial value and is the rate of decay.Using a percentage, the decay rate is described.Just reduce the % and divide it by 100 to get it into decimal form.The decay factor, b = 1-r, can then be determined. If the rate of deterioration is 25% .

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Answer:

[tex]8\sqrt{5x}[/tex]

Step-by-step explanation:

I'm assuming the "x" is also under the square root, making the equation:

[tex]9\sqrt{5x} - \sqrt{5x}[/tex]

This may look difficult to simplify at first, but this is really a matter of subtracting coefficients. It may help to explicitly write the coefficient of the square root, which is one.

[tex]9\sqrt{5x} - 1\sqrt{5x}[/tex]

This can be thought of as having 9 of something, and taking away 1 of that thing, this logically means you have 8 left. In this case, that "thing" is the: [tex]\sqrt{5x}[/tex], so we have 8 of this, or in other words: [tex]8\sqrt{5x}[/tex] which is our answer! Note: It also may help to think of the equation as: [tex]9x-x[/tex] which you may be more used to, making it easier to remember just to subtract coefficients, except in this case, [tex]x=\sqrt{5x}[/tex]

Another way to think of this problem, which will lead to the same step of subtracting one from nine, is factoring. Starting with the equation:

[tex]9\sqrt{5x} - 1\sqrt{5x}[/tex]

We can factor out the [tex]\sqrt{5x}[/tex] which leads to the equation:

[tex]\sqrt{5x}(9-1)[/tex]

now just simplify that 9-1, and you get:

[tex]8\sqrt{5x}[/tex]

Answer: Width is 70 yd and length is 120 yd

Pablo's salary is modeled with the linear equation:

S = $60*N + $1900

Its graph is on the image at the end.

Here we know that Pablo is a software salesman, he wins a fixed salary of $1900, plus $60 for each copy of History is Fun that he sells.

So, if he sells N of these books, then his monthly salary is:

S = $60*N + $1900

So we have a linear equation, and now we want to graph it, to do so, we need to find two points on the line, and then connect them, to find the two points, we need to evaluate the linear equation.

If N = 0, then we get:

S = $60*0 + $1900

S = $1900

So we have the point (0, $1900)

Evaluating in N = 1 we get:

S = $60*1 + $1900

S = $1960

So we have the point (1, $1960)

Now we can graph these two points and connect them with a line, the graph of the salary equation is below.

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The median and mode of the data set are 12, 12 respectively.

The median is the value that splits the mathematical numbers or expressions in the half. The median value is the middle number of data point. To find the median, firstly arrange the data points in ascending order.

The mean of the data is 12 (given).

The median of the data is the middle number.

The data arranged in the ascending order,

10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14.

12 is the middle value.

The median is 12.

The value that happens most frequently is the mode.

The only average that is capable of having zero, one, or several values is the mode.

Ordering the numbers first aids in determining the mode.

The mode of data set is 12.

Therefore, 12 is mean, median and mode of the data set.

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1. If a value of 120.5° is added to the data, 58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57, D. The mean increases by 3.1°.

2. If a shoe size of 6 is added to the ordered data, 5, 5.5, 6, 6.5, 6.5, 7, 7.5, 8, 8, 8.5, B. The IQR remains a 2.

3. If a value of 101° is added to the data, 58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57, B. The mean increases by 1.6°.

4. If a shoe size of 9 is added to the ordered data, 5, 5.5, 6, 6.5, 6.5, 7, 7.5, 8, 8, 8.5, the median that was 6.75, now D. The median increases to 7.

5. If a value of 60° is added to the data, 58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57, C. The median decreases to 77°.

6. If a value of 80.2° is added to the data, 58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57, C. The range stays at 48°.

7. If a value of 58° is added to the data, (57, 58, 61, 66, 71, 77, 80.8, 82, 91, 95, 100, 102, 105), the measure that chances the most is the D. IQR with the new value as 32°.

The mean refers to the average value while the median is the middle value in the dataset.  The range shows the difference between the highest value in the dataset and the lowest value.

The Interquartile Range (IQR) is the median value or 50% percentile, the difference between the 75th and 25th percentiles of the data set.

To compute the interquartile range, determine the median of the data's lower and upper half and subtract quartile 1 from quartile 3.

1. Average high temperatures for a city:

58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57

Total = 965°

Average = 80.4° (965° ÷ 12)

New average with 120.5° added:

New total = 1,085.5° (965° + 120.5°)

Average = 83.5° (1,085.5° ÷ 13)

The difference in mean = 3.1° (83.5° - 80.4°)

2. Shoe Sizes:

5  5.5  6  6.5   6.5   7  7.5  8  8  8.5

Median = 6.75 (6.5 + 7)/2

Interquartile = 8 - 6 = 2

Add shoe size 6 to the data:

5  5.5  6    6   6.5   6.5   7  7.5  8  8  8.5

Median = 6.5

IQR = 8 - 6 = 2

3. Average Temperature:

58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57

Total = 965°

Mean = 80.4° (965° ÷ 12)

If a value of 101° is added to the data, the new mean becomes:

58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57, 101

Total = 1,066

Mean = 82° (1,066 ÷ 13)

The difference in the mean = 1.6° (82° - 80.4°)

4. Raw Data:

 5.5   6   7     8.5   6.5

 6.5   8   7.5  8      5

Arranged:

5  5.5  6  6.5   6.5   7  7.5  8  8  8.5

Median of data = 6.75 (6.5 + 7) ÷ 2

When 9 is added to the data:

5  5.5  6  6.5  6.5  7  7.5  8  8  8.5  9

Median = 7

5. 58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57

Ordered Data:

57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105

Median = 79.5 (77 + 82)/2

Add 60°, the new ordered data:

57, 58, 60, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105

Median = 77

6. Range:

Highest value = 105

Lowest value = 57

Difference = 48

Range = 48 (105 - 57)

Add 80.2°, the range stays at 48° (105 - 57)

7. Average high temperatures:

Raw Data:

58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57

Ordered Data:

57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105

Total = 965

Mean = 80.4 (965 ÷ 12)

Median = 79.5 (77 + 82)/2

IQR = 39 (100 - 61)

Range = 48 (105 - 57)

A new temperature of 58° is added,

57, 58, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105

Total = 1,023

Mean = 78.7 (1,023 ÷ 13)

Median = 77

IQR = 32 (93 - 61)

Range = 48 (105 - 57)

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Answer:

d = 45

Step-by-step explanation:

It is stated that ECA and DBA are similar triangles.

To find the distance across the lake we can use the similarity ratio:

CE/BD = CA/BA

[tex] \frac{d}{30} = \frac{435}{290} [/tex]

290d = 13050

d = 45

The probability that a randomly selected person in the neighborhood does not take walks but has a dog is 7/26.

Probability refers to the chance or likelihood that an expected outcome occurs when there are many possible chances of other outcomes.

Probability is the ratio or quotient obtained by dividing the expected outcome by the number of occurrences.

Probability can be expressed as a fraction, decimal, or percentage when it is not 100% certain or uncertain.

The total number of dog owners in the neighborhood = 78

The number of dog owners in the neighborhood who walks their dogs = 57

The number of dog owners in the neighborhood who do not walk their dogs = 21

The probability of randomly selecting a person who does not take walks but has a dog = 21/78 = 26.9% (21/78 x 100)

21/78 = 7/26

Thus, in fraction, the probability that a randomly selected person in the neighborhood has a dog but does not take walks is 7/26.

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Answer:

21/100

Step-by-step explanation:

just took the test

Answer:

b = 8

Step-by-step explanation:

I think that you meant

-56 = -3b -32  Add 32 to both sides

-56 + 32 = -3b - 32 + 32

-24 = -3b  Divide both sides by -3

[tex]\frac{-24}{-3}[/tex] = [tex]\frac{-3b}{-3}[/tex]

8 = b

Answer:

b = 8

Step-by-step explanation:

Given equation,

→ -56 = -3b - 32

Now the value of b will be,

→ -3b - 32 = -56

→ -3b = -56 + 32

→ -3b = -24

→ b = -24/-3

→ b = 24/3

→ [ b = 8 ]

Hence, the value of b is 8.

6x²+11x+4

6x² + 8x + 3x + 4

2x(3x+4) + 1( 3x + 4 )

Answer:

[tex](3x + 4)(2x + 1)[/tex]

Step-by-step explanation:

We can factor the expression

[tex]6x^2+11x+4[/tex]

using the grouping method.

First, multiply the coefficient on the x² term by the constant term.

6 × 4 = 24

Then, list out the factor pairs of the product.

24  

1, 24

2, 12

3, 8

4, 6

If one of the pair's numbers add to the coefficient of the x term in the polynomial, then we can substitute in that pair of numbers for the x's in the expression.

In this case, the 3 and 8 pair add to 11, the x term's coefficient.

[tex]6x^2+11x+4[/tex]

[tex]6x^2 + 3x + 8x + 4[/tex]

Next, we can factor a term out of the first and last two terms of the polynomial.

[tex](6x^2 + 3x) + (8x + 4)[/tex]

[tex]3x(2x + 1) + 4(2x + 1)[/tex]

Finally, we can apply the distributive property to the expression to rewrite it in factored form.

[tex](3x + 4)(2x + 1)[/tex]

Answer:

$5.00

Step-by-step explanation:

2.00/40% = x/100%

Using the butterfly method becomes:

200/40x

then solve for x:

200/40 = 40x/40

5 = x

Answer:

a,b

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

yes, I have taken a picture of a problem/question and had it answered

Answer: 25.99205

Step-by-step explanation: The way I have solved it is by multiplying the answer and the only know number to be multiplied. Then I got 25.99205 and double checked it by dividing it by 7.21 and got 3.605.