There are 8 more girls than boys in a particular class. 3/5 of the boys and 1/3 of the girls were born in California. If the number of boys that were born in California was equal to the number of girls that were born in California, how many students ( boys and girls together) in the class were born in California?




I need to do an equation for this.. It has to have decimals or fractions used, and it has to have a 2 step equation to solve it. I have the answer but not the steps and such​

Answer:

$38,465

Step-by-step explanation:

35 x 1,099 = 38,465

Answer:

$38,465

Step-by-step explanation:

35 + 1099 = $38,465

ANSWER:

STEP-BY-STEP EXPLANATION:

We have the following operation:

We solve in the standard way just like this:

Kelly ate approximately 665 cm³ volume of salsa from a jar being 11 cm tall and  radius of 6 cm.

To understand and  solve this problem, we need to calculate the volume of the jar when it was full and then subtract the volume of the jar when it was 6 cm high.

Using the cylindirical volume formula

Volume = πr²h,

where r is the radius of the jar (6 cm) and h is the height of the jar (11 cm).

Volume of full jar = π × 6² × 11 = 1,244 cm³

Volume of jar when 6 cm high = π × 6² × 6 = 678.58 cm³

Now the volume of salsa kelly ate is = 1,244 -  678.58 = 665.42 cm³

Therefore, Kelly ate approximately 665.42  cm³ of salsa, and the answer can be rounded to the nearest whole number, 665 cm³.

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Value of the given function f(x) = 5x +2 , g(x) = 8 -3x for the following condition:

a. g(f(-2)) =32

b. f(g(x)) =42 -15x

As given in the question,

Given function:

f(x) = 5x + 2

g(x) = 8 - 3x

Value of the function for the following condition:

a. g(f(-2))

f(x) = 5x + 2

⇒f(-2) = 5(-2) + 2

⇒f(-2) = -8

g(f(-2))= g(-8)

         = 8 - 3(-8)

         = 32

b. f(g(x)) = f(8-3x)

             = 5(8 -3x) + 2

             =42 -15x

Therefore, value of the given function f(x) = 5x +2 , g(x) = 8 -3x for the following condition:

a. g(f(-2)) =32

b. f(g(x)) =42 -15x

The complete question is :

Given function  f(x) = 5x + 2 and g(x) = 8 - 3x, find the following value.

a. Find g[f(-2)].

b. Find f(g(x)).

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Answer:

last option

Step-by-step explanation:

y + 3 = 2 ( x - 1 )

⇒ y + 3 = 2x - 2

⇒ y = 2x - 5

Answer:

1. 8.9x10^5

2. 5.05x10^1

3. 7x10^26

4. 1.8x10^11

5. 4x10^4

6. 7x10^-18

7.  7.1x10^4

8. 6.6x10^-3

9.  9x10^19

10. 1.8x10^7

11. 2x10^10

12. 5x10^10

The median of the data set is 5.35.

To find the median, we need to first arrange the data set in order from smallest to largest. In this case, the data set is:

0.53, 5.2, 5.3, 5.35, 5.5, 53.

The median is the middle value of the data set. In this case, there are 6 values, so the median is the average of the 3rd and 4th values. In this case, 5.35 is the average of 5.3 and 5.35, so 5.35 is the median.

Therefore, the answer is 5.35 (Option d).

Median is a measure of central tendency and is used to describe a set of numerical values. It is the middle value when the values are arranged in ascending or descending order. It is the midpoint of a distribution and is often used as a measure of central tendency when the data is skewed or has outliers. The median is less affected by extreme values than the mean, making it a more accurate measure of the central location of the data.

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Answer:

k=-2

Step-by-step explanation:

Using the algebraic expression that models the cost of burgers and hotdogs, the cost of 4 burgers and 6 hot dogs is $25.

An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question. An algebraic equation is the equality of expressions.

If the expression 3.25b + 2h gives the cost of b burgers and h hotdogs, and we want to determine the cost of 4 burgers and 6 hot dogs, then plug in the values and solve the equation.

cost = 3.25b + 2h

cost = 3.25(4) + 2(6)

cost = 13 + 12

cost = 25

Hence, the cost of 4 burgers and 6 hot dogs is $25.

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Answer: B

Step-by-step explanation:

And also why do you have only 1 hour out of 16 to complete a test?

Answer:

13y

​2

​​ −14y+3

Step-by-step explanation:

Remove parentheses.

6{y}^{2}-9y+4+7{y}^{2}-5y-16y

​2

​​ −9y+4+7y

​2

​​ −5y−1

2 Collect like terms.

(6{y}^{2}+7{y}^{2})+(-9y-5y)+(4-1)(6y

​2

​​ +7y

​2

​​ )+(−9y−5y)+(4−1)

3 Simplify.

13{y}^{2}-14y+313y

​2

​​ −14y+3

Answer:

64percents

Step-by-step explanation:

25-9=16 grams - weight of copper

(16/25)*100=64 percents

The correct option of this factorial problem is D. 13

The expression `13! / (13-1)!` can be simplified as follows:

`13! / (13-1)!`=`13!/12!`Factoring out 12! from the numerator gives: `13! / 12!`=`13 × 12! / 12!`

Since 12! is a common factor in both the numerator and the denominator, it can be cancelled out, leaving only 13 in the numerator: `13 × 12! / 12!`=`13`

Therefore, `13! / (13-1)!`=`13`.

Thus, the correct option is D, 13.

Note: A factorial is the product of all positive integers from 1 up to a given integer n. It is denoted by the symbol "!", and is calculated by multiplying n with all positive integers less than n down to 1.For example, 5! = 5 × 4 × 3 × 2 × 1 = 120.

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I am so confused RN what are u asking

Taner will only need to run 3 km this week to complete his 6 km running goal.

If we require a definition, we may start by saying that fractional numbers are numbers that symbolize one or possibly more portions of a unit that has been subdivided into equal parts.

Given that, Taner's overall running goal is 6 km (including last week and this week)

So,

Taner's 2-week goal is 6 kilometres.

Now,

Taner's goal for the week is 3 kilometres = (6/2).

As the Taner completed 3 km of running last week. Taner can achieve his objective this week by running just 3 miles.

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Answer:

58.2677

Step-by-step explanation:

148 divide the length value by 2.54

Answer:

1 inch = 2.54 cm

148 / 2.54 = 58.2677165354 inches

Step-by-step explanation:

Answer:

8.4 minutes per mile

Step-by-step explanation:

You simply just divide time by miles

42/5 = 8.4

Considering exponential functions, it is found that:

6.

12. The number of hits 3 weeks from now will be of 27,348, hence option B is correct.

An exponential function is modeled according to the rule given next:

\(y = ab^x\)

The parameters of the exponential function are defined as follows:

For item 6, considering the points (0,10) and (1,7.5), the parameters are given as follows:

For item 12, the initial amount and the rate of change are given as follows:

a = 34,000, b = 1 - 0.07 = 0.93.

Hence the number of hits x weeks from now is modeled according to the following function:

\(h(x) = 34000(0.93)^x\)

After 3 weeks, x = 3, hence the number of hits will be of:

\(h(3) = 34000(0.93)^3 = 27348\)

Meaning that option B is correct.

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Answer: Luis started by adding 4.8b to both sides

Step-by-step explanation:

4.8 is a positive number so therefore it should be subtracted from both sides to make the right side be empty in that position.

If \(y=x^m\) is a solution to the ODE

\(x^2 y'' - 7xy' + 15y = 0\)

then substituting \(y\) and its derivatives

\(y' = mx^{m-1} \text{ and } y'' = m(m-1)x^{m-2}\)

gives

\(m(m-1)x^2x^{m-2} - 7mxx^{m-1} + 15x^m = 0\)

\(m(m-1)x^{m} - 7mx^{m} + 15x^m = 0\)

\((m(m-1) - 7m + 15)x^{m} = 0\)

We ignore the trivial case of \(y=x^m=0\). Solve for \(m\).

\(m(m-1) - 7m + 15 = 0\)

\(m^2 - 8m + 15 = 0\)

\((m - 3) (m - 5) = 0\)

\(\implies \boxed{m=3} \text{ or } \boxed{m=5}\)

Answer:

1st one

Step-by-step explanation:

jeushrueussboshfndksd

Answer:

I am pretty sure its the very last one.

Step-by-step explanation:

Answer:

8,900

Step-by-step explanation:

Given Number: 8,937.2546

Determine the two consecutive multiples of 100 that bracket 8,937.2546

8,937.2546 is between 8,900 and 9,000

8,950 is the midpoint between 8,900 and 9,000

As illustrated on the number line, 8,937.2546 is less than the midpoint (8,950)

Therefore, 8,937.2546 rounded to the nearest hundred = 8,900

Step-by-step explanation:

15 = 6 + 2(n-3) + 3n

or, 15 = 6 + 2n - 6 + 3n

or, 15 = 6 - 6 + 2n + 3n

or, 15 = 0 + 5n

or, 15 = 5n

or, 15/5 = n

or, 3 = n

;- n = 3.....

I Hope that this will Help you...!!!

The range of lengths is given by the inequality:

4.1 in ≤ L ≤ 4.5 in

We know that the length of a manufactured ceramic bead is 4.3 centimeters, with an acceptable error of 0.2 inches.

This means that the length of the ceramic bead can be, at most, 0.2 inches away (lower or upper) from 4.3 in.

Then the smaller length allowed is:

4.3 in - 0.2 in = 4.1 in

The largest length allowed is:

4.3 in + 0.2in = 4.5in

Then the range of lengths is given by the inequality:

4.1 in ≤ L ≤ 4.5 in

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The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.

The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.

Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.

Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.

To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.

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By answering the presented question, we may conclude that As a result, graphs the correct answer is "5 units to the right."

Mathematicians use graphs to visually display or chart facts or values in order to express them coherently. A graph point usually represents a connection between two or more items. A graph, a non-linear data structure, is made up of nodes (or vertices) and edges. Glue the nodes, also known as vertices, together. This graph includes V=1, 2, 3, 5, and E=1, 2, 1, 3, 2, 4, and (2.5). (3.5). (4.5). Statistical graphs (bar graphs, pie graphs, line graphs, and so on) are graphical representations of exponential development. a logarithmic graph shaped like a triangle

We may deduce from the graph that the translation used to make the image is "5 units to the right." Point D in the original picture has been mapped to point A in the new image, and point A has been relocated 5 units to the right of point D.

As a result, the correct answer is "5 units to the right."

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The domain of the equation is {1, 3, 5, 7, 9}. and the range of the equation is {6, 8, 10, 12, 14}.

What is range and domain of a function?

The domain of a function in mathematics is the set of all possible input values (usually denoted by x) for which the function is defined. It is the set of all values of the independent variable (input) for which the function is defined.

A function's range, on the other hand, is the set of all potential output values (typically indicated by y) that the function may generate. It is the set of all values of the dependent variable (output) that the function can take.

Now,

To solve for y:

2y = 30 - 3x

y = (30 - 3x)/2

The domain of the equation is the set of all possible values of x that will make the equation valid. Since x and y are positive integers, we need to find integer solutions for x that will also result in integer values for y.

Let's look at the equation (30 - 3x)/2 = y. For y to be an integer, (30 - 3x) must be even. This means that x can only take on odd integer values between 1 and 9, inclusive. Therefore, the domain of the equation is {1, 3, 5, 7, 9}.

To find the range of the equation, we need to find the possible values of y that correspond to the values of x in the domain. We can substitute each value of x into the equation y = (30 - 3x)/2 and simplify to find the corresponding value of y.

When x = 1, y = 14

When x = 3, y = 12

When x = 5, y = 10

When x = 7, y = 8

When x = 9, y = 6

Therefore, the range of the equation is {6, 8, 10, 12, 14}.

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Answer:

pop

Step-by-step explanation:

Answer:

30°

Step-by-step explanation:

x = 180° -60°-90° = 30°