there are four students in each small reading group there are 24 students in all.
how many reading groups are there​

Answer:

x = 60°

Step-by-step explanation:

This is an equilateral triangle. All angles of this triangle are congruent and have a measure of 60°.

Other method.

We know: the sum of the measures of the angles of the triangle is equal to 180 °.

Therefore we have the equation:

x + x + x = 180°

3x = 180°           divide both sides by 3

x = 60°

Answer:

at t=4, the particle is at x = 20

Step-by-step explanation:

This question revolves around velocity and displacement of a particle moving in a straight line (along the x-axis). At t = 0 the particle is at x = 0. The velocity of the particle as function of time is given as;

v(t) = 5

The velocity is thus constant, implying further that the particle has 0 acceleration.

To find the position of the particle at t = 4, we employ integral calculus since displacement is an integral of velocity while velocity is a derivative of displacement.

In short, we shall be integrating the velocity function between t =0 and t = 4 to find its location at t = 4.

[tex]\int\limits^4_0 {5} \, dt[/tex]

The integral of 5 with respect to t is 5t + c but we ignore the constant of integration since we are dealing with a definite integral;

5t

The final step is to substitute t with the limits given;

5(4) - 5(0) = 20

The particle was moving along the x-axis, so its new position would be;

x = 20

A particle moving with constant velocity v(t) = 5m/s on the x-axis starts from x = 0. At t = 4 seconds, using the equation of motion (x = xo + vt), we calculate the particle's position to be x = 20m.

The physics question asked here pertains to motion along a line, known as 1-Dimensional Kinematics. Specifically, we are considering a particle moving with a constant velocity, given by v(t) =5 for any time t greater than, or less than 0.

To find the position of the particle at a given time, we can use one of the basic equations of motion:

x = xo + vt.

As per the problem, the particle starts from position x = 0 at time t = 0, so xo = 0. The velocity, v, is a constant 5m/s.  We can use the provided time, t = 4 seconds, and substitute these values in the equation to get:

x = 0 + 5*4.

Therefore, at t = 4 seconds, the particle is at position x = 20m along the x-axis.

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Answer:

[tex]y\geq 3x-1[/tex] ; [tex]x+3y\leq 6[/tex]

Step-by-step explanation:

we know that

step 1

Find the inequality of the solid line x+3y=6

The solution is the shaded area below the solid line

therefore

The equation of the inequality is

[tex]x+3y\leq 6[/tex]

step 2

Find the inequality of the solid line y=3x-1

The solution is the shaded area above the solid line

therefore

The equation of the inequality is

[tex]y\geq 3x-1[/tex]

therefore

The system of linear inequalities is

[tex]y\geq 3x-1[/tex] ; [tex]x+3y\leq 6[/tex]

The correct system of linear inequalities represented by the graph is 'y ≥ 3x – 1; x + 3y ≤ 6'. This means all points that lie on and above the line y = 3x - 1 and also on or below the line x + 3y = 6 are solutions.

Looking at the given options and their corresponding inequalities, it’s evident that the graph must represent an area where y is greater or equal to 3x-1, and also, x + 3y is less than or equal to 6.

Therefore, the correct system of linear inequalities whose solution represents the graph should be:

y ≥ 3x – 1; x + 3y ≤ 6

This suggests that all points that lie on the line y = 3x - 1 and above it and all points that are on the line x + 3y = 6 and below it, make both inequalities true at the same time.

Learn more about System of Linear Inequalities here:

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You set them equal to each other since they are proprtional

So 12-x=x

Add x on both sides

12=2x

Divide by 2 on both sides

6=X

Answer:  x = 4

Step-by-step explanation:

Since the two triangles are similar, you can set up a proportion:

[tex]\dfrac{16}{12-x}=\dfrac{8}{x}\\\\\\\text{Cross Multiply and solve for x:}\\16(x)=8(12-x)\\16x=96-8x\\24x=96\\\boxed{x=4}[/tex]

Answer:

AD

Step-by-step explanation:

Looking at triangles ABD and ACD, they appear to be congruent. This means they have corresponding or matching parts which are equal and form each triangle.

The segment AD is the longest segment of triangle ABD. It matches to the longest segment in ACD. This is the same segment AD since the triangles share a side between them.

Answer:

AD <--> AD

Step-by-step explanation:

Hello! Segment AD is corresponding to itself, as it is the longest segment in ABD; it would correspond to itself due to a triangle being erected between them.  Hope this helps!

Answer:

11 (if you wanna know how many cups [which i mean by 2/3] it is 1)

Step-by-step explanation:

Well, to start, a cook has 11 7/8 cups of flour, right? Well, if you subtract 11 7/8 by 2/3 you get 11 5/24. As an estimate, you would get just plain 11 because there is three numbers when you estimate, 11, 11 1/2, or 12. 11 5/24 is more closer to 11 (because 1/2 would be 11 12/24, and 12 would be 11 13/24 or more until 12)

Hope it helped...

namely, how many cups is it 2/3 cups of  11⅞ cups?

let's firstly convert the mixed fraction to improper fraction, bearing in mind that two thirds of that much is simply their product.

[tex]\bf \stackrel{mixed}{11\frac{7}{8}}\implies \cfrac{11\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{95}{8}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{95}{8}\cdot \cfrac{2}{3}\implies \cfrac{95}{3}\cdot \cfrac{2}{8}\implies \cfrac{95}{3}\cdot \cfrac{1}{4}\implies \cfrac{95}{12}\implies 7\frac{11}{12}[/tex]

Answer: D) All of these are correct

Answer:

D. All of these are correct

Step-by-step explanation:

She needs four inches of ribbon and each spool has 24 inches, so we can write this equation like:

384/24 = s

where s is the number of spools.

If we divide 384 inches by the 24 inches each spool has she will get how many spools she needs.

Now having the equation: 384/24 = s, we can change it and it will mean the same.

384/24 = s  is the same as 24s = 384; just sending the 24 to multiply on the other side.

And it is the same as 384/s = 24 just sending the s to the other side dividing.

So all of the answers are correct they are just in different orders.

Answer: .25 inches

Step-by-step explanation: In order to calculate the size of each part you need to divide 12 by 48. 12 inches / 48 = .25. Each part is .25 inches.

fog functions are basically saying f(g(x)).

So (f o g)(x) = f(g(x)).

This is also true for gof functions.

(g o f)(x) = g(f(x)).

All we do for these problems is plug in g(x) into the x value in the f(x) equation.

Sorry, but there is no table to the right. Please put the table.

I think the correct answer is C. because each if forming a right triangle when you trace it.

If i'm correct brainliest please

Answer:

240 degrees.

Step-by-step explanation:

The minute hand passes through  60 minutes ( = 360 degrees) in 1 hour.

In 2/3 hours it passes through 2/3 * 360 =  240 degrees.

The number of degrees moved by the minute hand of a clock in a given amount of time is 240 degrees.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We have been given that the minute hand of a clock in the given amount of time of 2/3 hour.

The minute hand passes through 60 minutes Or 360 degrees in 1 hour.

In 2/3 hours, it passes through;

2/3 x 360 =  240 degrees.

Therefore, the number of degrees moved by the minute hand of a clock in a given amount of time is 240 degrees.

Learn more about multiplications;

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Answer:

B option. AB is larger than FD

Step-by-step explanation:

The rule which must be remembered here is:

The side opposite to the larger angle will be larger in measure. We have to compare two sides that are opposite to two angles 72 and 65.

So using the above rule we can say that side opposite to angle 72 will be greater in measure than the side opposite to 65.

The side opposite to 72 is AB and side opposite to 65 is FD.

Therefore, we can conclude that AB is larger in measure than FD, which makes option B as the correct answer,

Answer:

The correct answer option is AB is longer than FD.

Step-by-step explanation:

We are given two triangles, ΔABC and ΔDEF, where AC ≅ FE and BC ≅ DE.

One out of three angles is known for each triangle: ∠ACB = 72° and ∠DEF = 65° and we are to determine which of the statements is correct about AB and FD.

We know that the side opposite to the bigger angle is longer. Since ∠C = 72° is greater than ∠E, therefore side AB is longer than FD.

Answer:

4( \sqrt[3]{7x} )  is a like radical to  \sqrt[3]{7x}

Step-by-step explanation:

Answer:

◻️B. The value of the mode is the least value of the data.

Step-by-step explanation:

The mode is the data value that appears most often

5,7,9,5,18,6,8,5

Arranging the data from smallest to largest

5,5,5,6,7,8,9,18

The number that appears most often is 5

This is the smallest value of the data

Final answer:

To use order numbers in different forms, you convert between fractions, decimals, and percents. For example, to convert from percent to decimal, you divide by 100; to convert from decimal to percent, you multiply by 100.

Explanation:

You can use order numbers that are written as fractions, decimals, and percents for various mathematical and real-life applications. They are different ways to represent the same value, and you can convert between them. For example, to convert a percent to a decimal, you write the value of the percent as a fraction with a denominator of 100 and divide the numerator by the denominator. Similarly, to convert a decimal to a percent, you write the decimal as a fraction. If the denominator of the fraction is not 100, convert it to a fraction with a denominator of 100, then write the fraction as a percent.

Example of Converting Percents

To convert 75% to a decimal, write it as 75/100, which simplifies to 0.75. Conversely, to convert 0.75 to a percent, you multiply by 100 to get 75%.

Answer:

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

Step-by-step explanation:

Given

5 ÷ [tex]\sqrt{5}[/tex] = [tex]\frac{5}{\sqrt{5} }[/tex]

To simplify multiply the numerator/ denominator by [tex]\sqrt{5}[/tex]

= [tex]\frac{5}{\sqrt{5} }[/tex] × [tex]\frac{\sqrt{5} }{\sqrt{5} }[/tex]

= [tex]\frac{5\sqrt{5} }{5}[/tex] = [tex]\sqrt{5}[/tex]

Answer:  √5

Step-by-step explanation:

[tex]\dfrac{5}{\sqrt5}\bigg(\dfrac{\sqrt5}{\sqrt5}\bigg)=\dfrac{5\sqrt5}{5}=\large{\boxed{\sqrt5}}[/tex]

Answer:

Pat a) The graph in the attached figure

Part b)  [tex]y=(4/3)x-5[/tex]

The slope is  [tex]m=(4/3)[/tex]

The y-coordinate of the y-intercept is  [tex]b=-5[/tex]

Step-by-step explanation:

Part a) Which line represents the linear equation [tex]-3y=15-4x[/tex]?

To graph the linear equation find the intercepts

we know that

The y-intercept is the value of y when the value of x is equal to zero

so

For x=0

[tex]-3y=15-4(0)[/tex]

[tex]-3y=15[/tex]

[tex]y=-5[/tex]

The y-intercept is the point [tex](0,-5)[/tex]

The x-intercept is the value of x when the value of y is equal to zero

so

For y=0

[tex]-3(0)=15-4x[/tex]

[tex]4x=15[/tex]

[tex]x=15/4=3.75[/tex]

The x-intercept is the point [tex](3.75,0)[/tex]

Plot the intercepts to graph the linear equation

see the attached figure

Part b) Rewritten in slope-intercept form

we know that

The equation of the line into slope intercept form is equal to

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-coordinate of the y-intercept

we have

[tex]-3y=15-4x[/tex]

convert to slope intercept form

isolate the variable y

[tex]3y=4x-15[/tex]

[tex]y=(4/3)x-5[/tex]

The slope is  [tex]m=(4/3)[/tex]

The y-coordinate of the y-intercept is  [tex]b=-5[/tex]

hopefully the photo helps

Answer:

The answer is 4/3

Step-by-step explanation:

To get the answer, first give the two fractions common denominators.

1/2 + 5/6

3/6 + 5/6 = 8/6

Now simplify the fraction by division both numbers by 2

8/6 = 4/3

The answer is 1 1/3

Answer: The correct answer is 3.

Step-by-step explanation:

You need to write an equation to solve this problem, using x as the number of personal training sessions.

The equation to solve this problem is

35 + 25 x = 65 + 15x

First, subtract 35 from both sides:

25x = 30 + 15x

Subtract 15x from both sides:

10x = 30

The last step is to divide both sides by 10:

x = 3

You can then double check your work to make sure that the answer is correct:

35 + (25 x 3) = 110

65 + (15 x 3) = 110

The given expression x - (-x) + y simplifies to 2x + y. None of the provided options are equivalent to the original expression, hence the answer is 'None of the above'.

The expression you're trying to simplify is x - (-x) + y. In mathematics, subtracting a negative number is the same as adding its positive counterpart. Therefore, the given expression simplifies to x + x + y, which is 2x + y.

It seems the original question was looking for an expression equivalent to x - (-x) + y from the given choices. Based on the simplification we just did, none of the provided choices (0 + y, y, none of the above) are equivalent to the original expression, 2x + y. Therefore, the correct answer is 'None of the above'.

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➷ Error: When he divided both sides by the length, he didn't subtract the exponents. Instead on subtracting the exponents, he added them - which is incorrect.

Correct solution: 54x^9 y^8 / 6x^3 y^4 = 9x^6 y^4

The width is 9x^6 y^4

(This is based on the rule that when you divide values with exponents, you have to subtract the exponents)

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer:

Error: He added the exponents of the variables. The exponents must be subtracted.

Correct solution: [tex]w=9x^6y^4[/tex]

Step-by-step explanation:

According the quotient property of exponents, when you divide two powers with equal base, you must subtract the exponents.

Therefore, keeping the property above on mind, you have:

[tex]w=\frac{54x^9y^8}{6x^3 y^4}\\\\w=9x^{(9-3)}y^{(8-4)}[/tex]

Therefore, you have that the width of the rectangle is the shown below:

[tex]w=9x^6y^4[/tex]

Answer:

(D) [tex]8.46\cdot 3.51^x[/tex]

Step-by-step explanation:

One could run this on a computer and verify the best fit through brute force. The more elegant way is, as usual, to think: What are special values of x for an exponential function? Zero, for starters - anything to the power of zero is 1. The function value for x=0 in the table is 10. Which choices A through D are close to 10 for x=0? Well, (C) and (D), the rest is too far. Next, what is the function value for the next easy one, x=1? The table says 30. Which of (C) and (D) is close to 30 for x = 1. It turns out we can safely exclude (C) because 10.84*1.77 is about 19 and that's way too far from 30. Let's check (D): 8.46*3.51=29.7 - that's quite close. Since there is no other candidate left, I bet my money on (D). Feel free to verify closeness for the other values of x if you are unconvinced yet.  

Answer:

[tex]\text{D. }y = 8.46(3.51)^{x}[/tex]

Step-by-step explanation:

The quickest way is probably to do some direct substitution.

First, let's try f(0).

The values of y predicted by the four equations are, respectively, 3.14, 5.32. 10.84, and 8.46.

It looks like C and D are the closest to the observed data.

Now, let's try f(4) on C and D.

C: 10.84(1.77)⁴ = 10.84 × 9.815 = 106.4

D:  8.46(3.51)⁴ =    8.46 × 151.4 = 1284

The best curve is [tex]y = 8.46(3.51)^{x}.[/tex]

it Might be D. Soil B had greater growth because its data have a greater median.

Answer:

Step-by-step explanation:

Given is a table about plants growth in soil A and B.

Let us find mean and median.

Soil A

Mean: 4.17

Median: 3.9

Mode: 3.5

Minimum: 3.1

Maximum: 6

Range: 2.9

Count: 10

Sum: 41.7

Soil B

Mean: 4.28

Median: 4.25

Mode: 3.9

Minimum: 2.9

Maximum: 5.5

Range: 2.6

Count: 10

Sum: 42.8

Soil B shows a better growth since both mean and median are greater.

Answer:

B

Step-by-step explanation:

D is not the answer. The two binomials are added. That won't work.

C and A are not the answer C has a common factor in the first binomial

A has a 3 that is common in the second binomial.

B is completely factored. B is the answer.

Answer:

Have a great rest of your day :)

Step-by-step explanation:

The radius of the bell's edge is 3 yards.

To find the radius of the bell, we can use the formula for the circumference of a circle: C = 2πr, where r is the radius. Given that the circumference is 18.84 yards, we can solve for r. Rearranging the formula, we have r = C / 2π. Plugging in the values, we get r = 18.84 / (2 * 3.14) = 3 yards.

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ANSWER

[tex] \sqrt{13} = 3.606[/tex]

to the nearest thousandth.

EXPLANATION

The given irrational number is

[tex] \sqrt{13} [/tex]

We use the calculator to evaluate this to obtain,

[tex] \sqrt{13} = 3.605551...[/tex]

To round to the nearest thousandth means we are rounding to 3 decimal places.

The third decimal place is 5.

The next number is 5 so we round up.

[tex] \sqrt{13} = 3.606[/tex]

Answer:

5 dozen hot dogs

Step-by-step explanation:

Erica started with 80 dozen hot dogs.

At the end of the day on Wed, she had 75 dozen hot dogs (from the graph)

To determine what she sold, take what she started with and subtract what she ended with

80-75 = 5

She sold 5 dozen hot dogs

Answer:

The correct answer option is: Isabella should have divided the product of [tex]12\pi[/tex] and 9 by 3 to get [tex]V=\frac{12\pi (9)}{3}[/tex]

Step-by-step explanation:

We are given a diagram of a cone with height [tex] 9 cm [/tex] and area of the base (circle) [tex] 12 \pi   cm^ 2 [/tex].

Isabella uses the equation [tex] V = \frac { 1 } { 3 } ( 12 ) ^ 2 ( 9 ) \pi [/tex] and we are to find the error that she is making in finding the volume of this cone.

The volume of a cone is given by: [tex]\pi r^2\frac{h}{3}[/tex] out of which [tex]\pi r^2[/tex] represents the area of the base (circle).

Therefore, Isabella should have divided the product of [tex]12\pi[/tex] and 9 by 3 to get [tex]V=\frac{12\pi (9)}{3}[/tex].

The answer is in fact D or Isabella should have divided the product of 12 Pie and 9 by 3 to get V=  12 Pie (9)/3