what is a reasonable estimate for the problem 3 3/4 x (- 2/5) a.-2 b.-1/2 c.1/2 d.2

Answer:

Step-by-step explanation: The correct answer is 18 boys.

First of all, we know that there is a ratio of 4 girls to three boys or 4:3.

Next we know that there are 24 girls so what we have to do is figure out which number 4 was multiplied by to get 24.

4 times 6 is 24 so since we know that four was multiplied by 6, we can now multiply 3 by 6 to keep the same ratio of girls to boys.

The question is about finding the number of boys in a class when the ratio of girls to boys is given and the number of girls is known. Set up a proportion and solve the equation to find that there are 18 boys in the 6th grade class.

This is a Mathematics problem on ratios. In this problem, the ratio of girls to boys is given as 4:3. This means for every 4 girls, there are 3 boys. If there are 24 girls, we can find the number of boys by setting up a proportion. Like this:

4 (girls) / 3 (boys) = 24 (girls) / x (boys)

Solve for x by cross multiplying: (4 * x) = (3 * 24) which simplifies to: 4x = 72. Solve for x by dividing both sides of the equation by 4 resulting in: x = 18. Hence, there are 18 boys in the 6th grade classes.

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2025 - 2014 = 11

11 * 12 = 132

132% of $24,000 = $31680

I think this is right but I don't sure... sorry

Method 1:

[tex]F(1)=4\\\\F(n)=F(n-1)+7\\\\n\in\{2,\ 3,\ 4,\ 5,\ ...\}\\\\F(2)=F(1)+7\to F(2)=4+7=11\\\\F(3)=F(2)+7\to F(3)=11+7=18\\\\F(4)=F(3)+7\to F(4)=18+7=25\\\\F(5)=F(4)+7\to F(5)=25+7=32\\\\F(6)=F(5)+7\to F(6)=32+7=39\\\\F(7)=F(6)+7\to F(7)=39+7=46\\\\F(8)=F(7)+7\to F(8)=46+7=53[/tex]

Method 2:

The general formula of an arithmetic sequence:

[tex]a_n=a_1+(n-1)d[/tex]

We have:

[tex]a_1=F(1)=4,\ d=7[/tex]

Substitute:

[tex]a_n=4+(n-1)(7)=4+7n-7=7n-3[/tex]

Put n = 8 to the formula:

[tex]a_8=7(8)-3=56-3=53[/tex]

Answer:

S∞ = 7       Option C

Step-by-step explanation:

Given that:

∑21[tex](\frac{1}{4} )^{i}[/tex]     i = 1 to ∞

We need to find the sum.

Firstly we will find the sequence

a₁ = [tex]21(\frac{1}{4} )^{1}  = (\frac{21}{4} )[/tex]

a₂ = [tex]21(\frac{1}{4} )^{2}  = (\frac{21}{16} )[/tex]

a₃ = [tex]21(\frac{1}{4} )^{3}  = (\frac{21}{64} )[/tex]

a₄ = [tex]21(\frac{1}{4} )^{4}  = (\frac{21}{256} )[/tex]

this sequence is geometric

So, we use sum of infinite terms

a = [tex]\frac{21}{4}[/tex]

r = [tex]\frac{\frac{21}{16} }{\frac{21}{4} }  = \frac{1}{4}[/tex]

The sum of infinite terms of a GP series

S∞ = [tex]\frac{a}{1-r}[/tex]

where a is first term

r is common ratio and 0<r<1

S∞ = [tex]\frac{\frac{21}{4} }{1 - \frac{1}{4} }  = \frac{\frac{21}{4} }{\frac{3}{4} }[/tex]

S∞ = 7

Final answer:

A line is parallel to y=3/4x-3 if it has the same slope of 3/4.

Explanation:

A line is parallel to y = \frac{3}{4}x - 3 if it has the same slope as the given line.

The slope of y = \frac{3}{4}x - 3 is \frac{3}{4}. So, any line with a slope of \frac{3}{4} is parallel to it.

For example, a line with the equation y = \frac{3}{4}x + 2 is parallel to y = \frac{3}{4}x - 3 because they both have the same slope, \frac{3}{4}.

Answer:

see below  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

2020 -2010 = 10 YEARS

375,000 X .09 = 33,750                  2011 VALUE  33750 + 375000 = 408,750

408750 X .09 = 36787.50               2012 VALUE  445537.50

445537.50 X .09 = 40,098.38         2013 VALUE  485635.88

485635.88 X .09 = 43707.23           2014 VALUE  529343.11

529343.11 X .09 = 47640.88            2015 VALUE  576983.99

576989.99 X .09 = 51928.56          2016 VALUE  628918.55

628918.55 X .09 = 56602.67          2017 VALUE 685521.22

685521.22 X .09 = 61696.91           2018 VALUE  747218.13

747218.13 X .09 = 67249.63           2019 VALUE 814467.76

814467.76 X .09 = 73,302.10          2020 VALUE $887,769.86

                                                   Rounded to the nearest dollar: $887,770.00

Answer:

Scatter plots resembles line graphs in that they are plotted on the x and y axis. The are used because they show how much one variable is affected by another.

Scatter diagrams are important since in statistics they can show the extent of correlation, if any, between the values of observed quantities or a behavior.

Answer:

A scatter plot is defined as a diagram which uses Cartesian coordinates to display values about two variables, one indepedent, the other one dependent.

This diagrams are used in statistics to display information about surveys to a certain sample in a population. The purpose of a scatter plot is to shows if the variables are related, that is, if they have any type of linear correlation between them. If they have linear correlation, then the data is represented by a line.

Now, in this case, the independent variable is time in minutes and the dependent variable is texting. Basically, with this data, the company will be able to stablish the relation between words written in a certain time, that is, the speed of texting actually.

With a scatter plot, they would find the relation that forms the speed of texting. It could be "the more time, more text is written", or "the less time, more text is written".

If we need to establish a possible relation, the most logical would be "the more time, more word are texted".

Answer:

Your answer is √261.

Step-by-step explanation:

Width of computer screen in inches is 16.15 inches

Given that;

Diagonal length of computer screen = 19 inches

Height of computer screen = 10 inches

Find:

Width of computer screen in inches

Computation:

Using Pythagorean theorem

Base = √Diagonal length² - Height²

Width of computer screen in inches = √19² - 10²

Width of computer screen in inches = √361 - 100

Width of computer screen in inches = √261

Width of computer screen in inches = 16.15 inches (Approx.)

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Answer:

see explanation

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° ( n - 2) ← n is the number of sides of the polygon

You can factor out the 4 and you would get....

[tex]4(2b-1)[/tex]

Answer:

10 servings

Step-by-step explanation:

not very hard at all, all you have to do is do 4/(3/8) to get you 10.66, but since you need full servings, you leave out the decimal (logic) to get the answer

You can make 10 full servings of the recipe with 4 cups of raisins and have some leftover.

To determine how many full servings you can make with 4 cups of raisins when a recipe calls for 3/8 cup of raisins per serving, you can set up a division problem.

Divide the total amount of raisins, which is 4 cups, by the amount of raisins per serving, which is 3/8 cup.

You can convert 3/8 to a decimal by dividing the numerator (3) by the denominator (8).

This gives you 0.375.

Then, divide 4 by 0.375 to find the number of full servings.

The result is 10.67, which means you can make 10 full servings and have a little bit of raisins leftover.

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You have 4 cups of raisins. A recipe calls for 3/8 cup of raisins per serving. How many full servings can you make?

Answer:

Sajini = 200

Drea = 225

Step-by-step explanation:

d = amount Drea earned

s = amount Sajini earned

Together they earned 425

d+s =425

d = s+25

The system of equations

d+s =425

d = s+25

I will use substitution to solve

Substitute d= s+25 into the first equation

d+s =425

(s+25) + s = 425

Combine like terms

2s+25 =425

Subtract 25 from each side

2s+25-25 =425-25

2s = 400

Divide by 2

2s/2 =400/2

s =200

Sajini = 200

Now we need to find d

d = s+25

d = 200 + 25

d = 225

Drea = 225

Answer:

Drea: $225

Sajini: $200

Step-by-step explanation:

D + S = 425

D = S + 25

S + 25 + S = 425

2S = 400

S = 200

D = 200 + 25 = 225

Answer:x=4 and y=4

Step-by-step explanation: if you divide 9 by 3 it would be 3 and 6 divided by 3 would be 2 so if you multiply 2 by 4 and 3 by 4 and you add them together it will equal 20

Answer: [tex]3x+2y=20[/tex]

Step-by-step explanation:

Let  x be  the number of boxes of crackers and y be the number of boxes of granola bars that Mr. Logan bought at the grocery store.

Given : The price of the crackers is $9 for 3 boxes, and the price of the granola bars is $6 for 3 boxes.

i.e. price of one box of crackers = $9 ÷3 = $3

Price of one box of granola bars=$6÷3 = $2

Mr. Logan ends up buying $20 worth of crackers and granola bars.

i.e.  (Cost of each box of crackers) x + (Cost of each box of granola bars) y

i.e. [tex]3x+2y=20[/tex]

Hence, the equation represents the relationship between the number of boxes of crackers, x, and the number of boxes of granola bars, y, that Mr. Logan bought at the grocery store :

[tex]3x+2y=20[/tex]

Answer:

6.7

Step-by-step explanation:

Answer:

6.4 is the correct answer.

Step-by-step explanation:

let's find its first derivative for "y"

[tex]\bf y=x^3-3x^2+5x-1\implies \cfrac{dy}{dx}=3x^2-6x+5[/tex]

now, we can run the quadratic formula on that derivative, and it turns out we end up with a negative radicand and therefore an imaginary/complex solution, which is a way to say there are no solutions for it, so the quadratic never touches the x-axis.

so hmmm what is the smallest value it goes down to, for the derivative, before it goes right back up?

well, for that we can simply check her vertex location.

[tex]\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ \cfrac{dy}{dx}=\stackrel{\stackrel{a}{\downarrow }}{3}x^2\stackrel{\stackrel{b}{\downarrow }}{-6}x\stackrel{\stackrel{c}{\downarrow }}{+5} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left( -\cfrac{(-6)}{2(3)}~~,~~5-\cfrac{(-6)^2}{4(3)} \right)\implies \left( 1~~,5-\cfrac{36}{12} \right) \\\\\\ (1~,~5-3)\implies (\stackrel{x}{1}~,~\stackrel{y}{2})[/tex]

so, "y" or dy/dx goes as low as 2 before going back up, and that happens when x = 1.

Check the picture below.

Step-by-step explanation:

We need to find minimum slope for y = x³ -3x² +5x -1

Slope is derivative of y

                [tex]\texttt{Slope,}\frac{dy}{dx}=3x^2-6x+5[/tex]

Now we need to find minimum of 3x² -6x +5

At minimum derivative of  3x² -6x +5 is zero

That is

                6x - 6 = 0

                  x = 1

So the slope is minimum at x = 1

At x = 1,

           Slope = 3 x 1² -6 x 1 +5 = 2

Minimum slope possible for x³ -3x² +5x -1 is 2

Answer:

B

Step-by-step explanation:

−10

3 /5 (5x + 10) = −24

3x + 6 = −24

3x = −30

x = −10

Answer:

option B : [tex]f(x)= log_7(x-39)[/tex]

Step-by-step explanation:

(a) [tex]f(x) = 7^{x-39}[/tex]

For exponential function , there is no vertical asymptotes

General form of exponential function is

[tex]f(x) = n^{ax-b}+k[/tex]

[tex]f(x) = 7^{x-39}[/tex]

In the given f(x) the value of k =0

So horizontal asymptote is y=0

(b) lets check with option

[tex]f(x)= log_7(x-39)[/tex]

To find vertical asymptote we set the argument of log =0  and solve for x

Argument of log is x-39

x-39=0 so x=39

Hence vertical asymptote at x=39

Answer:

The correct answer is b. f(x) = log7(x-39)

The formula of a distance between two points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have the points (-3, 7) and (2, 9). Substitute:

[tex]d=\sqrt{(2-(-3))^2+(9-7)^2}=\sqrt{5^2+2^2}=\sqrt{25+4}=\sqrt{29}[/tex]

Answer:

sqrt(29)

Step-by-step explanation:

To find the distance between two points, we use the formula

d =sqrt((x2-x1)^2 + (y2-y1)^2 )

= sqrt( (2--3)^2 + (9-7)^2)

 = sqrt( 2+3)^2 + (2)^2)

= sqrt( 5^2 + 4)

= sqrt( 25+4)

= sqrt(29)

The distance is the sqrt(29)

Answer:

Distributive Property

Step-by-step explanation:

Note that in the question,  2(6 + 4) we can solve it in two ways.

First way is to solve using PEMDAS, which is to solve the parenthesis first, and then the addition. However, this time, we see that the next step is 2(6) + 2(4), which suggests distributive property, which states that the multiplying number on the outside of the parenthesis is distributed to all terms within the parenthesis.

~

Answer: No

Step-by-step explanation:

A right angle is exactly 90°

To determine if 50, 48, 14 form a right angle, we need to check if the sum of the squares of the two smaller numbers is equal to the square of the largest number. The sum of 48^2 and 14^2 is equal to 50^2, so 50, 48, 14 form a right angle.

To determine if 50, 48, 14 form a right angle, we need to check if the sum of the squares of the two smaller numbers is equal to the square of the largest number.

The largest number is 50. So, we need to check if 48^2 + 14^2 = 50^2.

48^2 equals 2304 and 14^2 equals 196. The sum of these two numbers is 2500, which is equal to 50^2. Therefore, 50, 48, 14 form a right angle.

To write the equation in slope-intercept form, rearrange the equation to isolate the y variable. Then, divide both sides by the coefficient of y to solve for y. The equation is y = 4/11, with a slope of 0 and y-intercept of 4/11.

To write the equation in slope-intercept form, we need to isolate the y variable on one side of the equation.

Start by rearranging the equation to get the y variable alone:

-12 + 11y = -8

Next, add 12 to both sides to move the constant term to the other side:

11y = 4

Then, divide both sides by 11 to solve for y:

y = 4/11

The equation in slope-intercept form is y = 4/11. The slope is 0 and the y-intercept is 4/11.

Final answer:

The equation -12 + 11y = -8 in slope-intercept form is y = 4/11. There's no x term in the equation, indicating that the slope is 0, and the y-intercept is 4/11.

Explanation:

To write the equation -12 + 11y = -8 in slope-intercept form, we start by isolating the y-variable on one side of the equation. Here's how you can do it:

Add 12 to both sides of the equation to get 11y = 4.

Divide both sides of the equation by 11 to solve for y, resulting in y = 4/11.

The equation in slope-intercept form is y = 4/11. In this form, y = a + bx, the slope (b) is the coefficient of x, and the y-intercept (a) is the constant term. Since our equation has no x term, the slope is 0 and the y-intercept is 4/11.

Therefore, the slope of the line is 0, and the y-intercept is the point (0, 4/11).

Answer:

(1, - 1 )

Step-by-step explanation:

using the midpoint formula

midpoint = [ [tex]\frac{1}{2}[/tex](- 2 + 4), [tex]\frac{1}{2}[/tex](5 - 7) = (1, - 1 )

Answer:

A

Step-by-step explanation:

The equation of the line perpendicular to the given line and passing through the point (-3, 5) is option C. y = 4x + 17.

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Given the equation of a line in point slope form as,

y - 2 = -1/4 (x + 3)

We have to calculate the equation of a line perpendicular to the given line.

Slope of a line perpendicular to another line is the reciprocal of the given line with opposite sign.

Slope of the given line = -1/4

Slope of the perpendicular line = - (1 ÷ -1/4) = 4

Given a point (-3, 5).

Equation of the required line in point slope form is,

y - 5 = 4 (x - -3)

y - 5 = 4 (x + 3)

y - 5 = 4x + 12

y = 4x + 12 + 5

y = 4x + 17

Hence the equation of the required line perpendicular to the given line is y = 4x + 17.

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Answer:

it took tamara an 1:49 in total

the difference was 41 minutes

Step-by-step explanation:

Answer:

41 minutes

Step-by-step explanation:

75 minutes minus 34 minutes equal 41 minutes

Answer:

Option C is correct.

[tex]y = 0.9673x^2-0.8475x + 10.4334[/tex] is an quadratic model equation for the data set

Step-by-step explanation:

To find the equation of the quadratic model for the given data set:

x               y

4              20

10             86

13            174

17             274

8              72

12             135

6               44

Therefore, the quadratic model for the given data is given by;

[tex]y = 0.9673x^2-0.8475x + 10.4334[/tex]

The number of solutions exist for the given equation (x + 12) = 4x – 1

is one.

The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.

We are given that;

The equation=(x + 12) = 4x – 1

Now,

We can simplify the given equation as follows:

x + 12 = 4x - 1

Adding 1 to both sides:

x + 13 = 4x

Subtracting x from both sides:

13 = 3x

Dividing both sides by 3:

x = 13/3

Therefore, by solving equation answer will be one.

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Answer:

Step-by-step explanation:

helloooooo heres the answer...X=8/5

you get this by moving your Y variable to the left by adding its opposite (-8y) to both sides.

then you should be left with -5x=-8y when in this step divide both steps by -5, which will get you 8/5 hence the answer X=8/5

Answer:

possible answrs addition, expanded form

Step-by-step explanation:

Answer:B

Step-by-step explanation:

April sold 40 adult tickets and 35 child tickets.

To find the number of adult and child tickets sold, we can set up a system of equations based on the given information:

Let x be the number of adult tickets sold and y be the number of child tickets sold.

We can establish two equations:

To solve this system, we can use the method of substitution or elimination. Let's use the elimination method:

By multiplying equation 1 by 5, we get:

5x + 5y = 375 (equation 3)

Subtracting equation 3 from equation 2:

(8x + 5y) - (5x + 5y) = 495 - 375

Simplifying:

3x = 120

Dividing both sides by 3:

x = 40

Substituting the value of x into equation 1:

40 + y = 75

Solving for y:

y = 75 - 40

y = 35

Therefore, April sold 40 adult tickets and 35 child tickets.