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3 years ago

9

To observe a session of the state senate, 18 students are visiting the state capitol. They will tour the capital in groups with

x chaperones.
Complete the table. How many students will be in each group if x = 9?

1 answer:

inysia [295]3 years ago

6 0

Answer:9

Step-by-step explanation:

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Elisa withdraw $20 at a time from her bank account and withdraw a total of $140. Ana withdrew $45 at a time from her bank accoun

emmainna [20.7K]

Elisa made a greater number because when you divide $140 by $20 you get 7. So that is seven Twenty dollar bills. For Ana, you divide $270 by $45 and you get 6. So for Ana you get 6 withdrawals of $45.

4 0

3 years ago

Read 2 more answers

Find four consecutive even integers such that if the sum of the first and third is multiplied by 3, the result is 28 less than f

WITCHER [35]

Answer:

$A=-10\\B=-8\\C=-6\\D=-4$

Step-by-step explanation:

We can solve the problem in this way:

- The 1st information that we have is that the four numbers are even and consecutive integer. Let's call these numbers A, B, C and D. This means that:

$D=C+2\\C=B+2\\B=A+2$

(since the distance between two even consecutive numbers is 2)

- The 2nd information that is given is that the sum of the first and third multiplied by 3 equals 28 less than 5 times the fourth, so:

$3(A+C)=5D-28$ (1)

Now we rewrite eq(1) by using:

$D=C+2$

and

$A=C-4$ (obtained by combining the 3 first equations)

So we get:

$3(C-4+C)=5(C+2)-28$

Solving this equation for C,

$6C-12=5C+10-28\\C=-6$

So the other numbers are:

$A=-10\\B=-8\\C=-6\\D=-4$

7 0

3 years ago

Write the equation of a vertical ellipse with a major axis of 20, a minor axis of 12, and a center of (6, 3)

maksim [4K]

Answer:

The equation of a vertical ellipse is $\frac{(x-6)^2}{100} + \frac{(y-3)^2}{36} = 1\\$

Step-by-step explanation:

Here, given:

Length of major axis: 20

⇒ 2 a = 20 , or , a = 10

Length of minor axis: 12

⇒ 2 b = 12 , or , b = 6

Also, center (h,k) = (6,3)

Now, STANDARD EQUATION OF ELLIPSE :

$\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2} = 1\\$

Now, substituting the values, a, b , h and k in above expression, we get:

$\frac{(x-6)^2}{10^2} + \frac{(y-3)^2}{6^2} = 1\\$

or, $\frac{(x-6)^2}{100} + \frac{(y-3)^2}{36} = 1\\$

Hence, the equation of a vertical ellipse is $\frac{(x-6)^2}{100} + \frac{(y-3)^2}{36} = 1\\$

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3 years ago

How do i solve this radical expression? It has to do with factoring i know that.

MAVERICK [17]

Firstly it's not a radical expression.

You can factorize the numerator x²+12x+36 = (x+6)²

Factorize the denominator 12x+72 = 12(x+6)

=(x+6)² / 12(x+6) , simplify. Answer = (x+6)/12

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3 years ago

Let f(x) = 6x-5 and g(x) = 2x-1. Find f • g

tankabanditka [31]

Hi

(6x-5) (2x-1) = 12x²-6x-10x+5 = 12x²-16x +5

3 0

3 years ago