Now, write an equation for the following story:

A club puts its members into 5 groups for an activity. After 7 students have to leave early, there are only 3 students left to finish the activity. How many students were in each group?

Hint: Let x be the number of students in each group originally (before any students left).

Answer:

A) only figure 1 and figure 2

Step-by-step explanation:

Answer: Choice A) only figure 1 and figure 2

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Explanation:

Let's assume that figure 2 is similar to figure 3.

If this is the case, then the horizontal portions would divide to 30/15 = 2, showing that figure 3 has sides that are twice as long compared to figure 2. But then notice that the vertical sides divide to 36/24 = 1.5, which doesn't match with the previous result of 2.

Figures 2 and 3 cannot be similar for that reason.

Also, figures 1 and 3 are not similar either. Note the horizontal portions divide to 30/10 = 3 while the vertical portions divide to 36/16 = 2.25; the results 3 and 2.25 don't match.

We eliminate answers B, C and D. The only thing left is choice A.

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To verify choice A is true, we divide each corresponding piece like so

Each division leads to the same result of 1.5, meaning that figure 2's side lengths are 1.5 times longer than the corresponding side lengths of figure 1. So this confirms that figure 1 is similar to figure 2.

Answer:

Answer:

10.080229881683 yards2

Step-by-step explanation:

Answer:

v=Bh

B=6×4.5

v=27×9

v=243ft³

Answer:

Hope this helps!

Step-by-step explanation:

Bryan has a collection of nickels and quarters for a total value of 4.90.if she has 42 coins total how many of each kind are there

Answer:

34

Step-by-step explanation:

angles YPB and BPX together form 180 degrees

180 - 78 = 3x

102/3 = x

x = 34

Answer: 0

Step-by-step explanation:

Answer:

x = 4, x = 8

Step-by-step explanation:

Given

(x - 7)(x - 5) = 3 ← expand factors using FOIL

x² - 12x + 35 = 3 ( subtract 3 from both sides )

x² - 12x + 32 = 0 ← in standard form

(x - 4)(x - 8) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x - 8 = 0 ⇒ x = 8

Answer:

Step-by-step explanation:

the first one becouse of the ratio 6:1

we know it cant be c there is no possible way so

its either a or b

if n=number of girls

6- girls and plussing will give you the correct answer

it is minus becouse of the ratio adding will give you more than the value

and minus will give exact value

Answer: n + ( n + 6) = 23

Answer:

$0.90

Step-by-step explanation:

5 - (1.37+.69+.89+1.15)

5-4.10 = .90

Answer:

$1.90!!!!!!!!!

Step-by-step explanation:

=) your welcome

Answer:

C.–1 and 4

Step-by-step explanation:

Solving the equations  y = –x² + 4x and y = x – 4

–x² + 4x = x – 4

x² - 4x + x = 4

x² - 3x = 4

x² - 3x + (3/2)² = 4 +  (3/2)²

(x - 3/2)² = 4 +  9/4

             = 6.25

x - 3/2 = √6.25                      or  x - 3/2 = -√6.25

x = 2.5 + 1.5                                        x = -2.5 + 1.5

= 4                                                        = -1

Answer: C -1 and 4

Step-by-step explanation:

Edge

Answer:

4

Step-by-step explanation:

because it is- its so obv

Answer:

42.5

Step-by-step explanation:

First, you should find the area of the the total figure, this being a rectangle (Two of the four corners are folded over). To do this, you must multiply 9 (the length) by the height of the shape, which is 3.5 + 2 (5.5). Next, you should subtract the area of each triangle that is folded over, the area of the bottom left triangle being 2 and the area of the bottom right triangle being 5. This should bring your answer to an area of 42.5

Hope this helps :)

Answer:

13.5

Step-by-step explanation:

[tex]\sin 64\degree = \frac{AC}{AB}\\\\AC = AB \sin 64\degree \\\\AC = 13.481910694\\\\AC \approx 13.5[/tex]

Answer:

13.5

Step-by-step explanation:

Have a great day

Answer:

[tex]y=-2\\[/tex]

Step-by-step explanation:

Use the values of the unit circle to get the (x,y) when Θ=[tex]\frac{11\pi}{6}[/tex], which is [tex](\frac{\sqrt{3}}{2}, -\frac{1}{2})[/tex].

The cosecant (csc) function is the reciprocal of the sine function, so we take the y value and take the reciprocal of it, which is -2.

If I helped, a brainliest answer would be greatly appreciated.

Answer:

If a function repeats over at a constant period we can call it a periodic function. According to periodic function definition the period of a function is represented like f(x) = f(x + p), p is equal to the real number and this is the period of the given function f(x). Period can be defined as the time interval between the two occurrences of the wave.

Step-by-step explanation:

please tell me if im incorrect, i'll fix it asap.

Answer:

a

Step-by-step explanation:

the answer is up at the top

The probability that at least 1 doesn't use a computer at work is 0.8065.

The probability that all 5 use a computer in their jobs is 0.1935.

Suppose we let X represent the no. of women that make use of computers at work. A given random variable X which approaches a binomial distribution with the following data n = 5 and p = 0.72 has a probability function:

[tex]\mathbf{P(X=x) = \left \{ {{(^5_x)(0.72)^x(0.28)^{5-x}, \ X = 0,1,2,...5} \atop {0, \ \ \ \ \ \ \ \ \ \ \ \ elsewhere }} \right.}[/tex]

a.)

Then, the probability that at least 1 doesn't use a computer at work can be computed as:
[tex]\mathbf{1-P(X=5) =1 - (^5_5)(0.72)^5(0.28)^{5-5}}[/tex]

[tex]\mathbf{1-P(X=5) =1 - (0.72)^5}[/tex]

[tex]\mathbf{1-P(X=5) =1 - 0.1935}[/tex]

⇒ 0.8065

b.)

The probability that all 5 make use of computers at their job is;
[tex]\mathbf{P(X=5) = (^5_5) (0.72)^5 (0.28)^{5-5}}[/tex]

[tex]\mathbf{P(X=5) = 1 \times (0.72)^5 \times 1}[/tex]

P(X = 5) = 0.1935

Learn more about probability function here:

https://brainly.com/question/24756209

#SPJ6

Answer:

parallel

Step-by-step explanation

its c wich is 57 i think. oh yea its c

Answer:

13.2

Step-by-step explanation:

12.8+0.4=13.2

because 0.8 +0.4=1.2 so drag the one to 12 so 12 +1 = 13.2

Answer:

13.2

Step-by-step explanation:

12.8

+

0.4

________

13.2

Hope u have a great day/night!

Answer:45 Don't take the answer might be wrong

Step-by-step explanation:

Answer:

$1.30

Step-by-step explanation:

If 8 chicken wings is $10.40, to find the amount per chicken wing $10.40 gets divided by 8.

I think it's 0.8 wing per dollar

Answer:

neither

Step-by-step explanation:

Have a great day!

Answer:

It is very likely that you will have homework tonight. Have fun! :)

Answer:

(6.0)(5.4)

Step-by-step explanation:

First we have to find the equation of the line represented in the table; for that we have to find it's slope  and it's y-intercept  and then write it in the following form:

The slope  of the line we get from first two points:

thus we have

we find  by putting the point  into the function:

Thus we have

Now we have to find where this line intersects with ; to do this we just substitute  with :

We have the x-coordinate of  the intersection.

We find the y-coordinate by substituting  into :

Answer:

4 /25

Step-by-step explanation:

Given that :

Cup of vinegar used per recipe = 1/5 cup

Amount of vinegar to be used for 4/5 of a recipe ;

1 cup recipe = 1/5 cup vinegar

4/5 cup recipe = x

Cross multiply :

x = 1/5 * 4/5

x = 4/25 cup

Hence, Sandeep will use 4/25 cup of vinegar

Answer:

V = 1102.7 cm^3

Step-by-step explanation:

1. Volume of Cone Formula

[tex]V=\frac{1}{3}*h*\pi *r^{2}[/tex]

2. Variables: h = 13 cm r = 9 cm

3. Plug in numbers

[tex]V=\frac{1}{3}*13*\pi *9^{2}[/tex]

V ≈ 1102.69 cm^3