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valina [46]
3 years ago
9

Savanna is playing a game with her friends. She tells them to each pick a number, and then she directs them to: 1. Multiply thei

r number by 4 2. Subtract 6 from that number 3. Divide that number by 2. Once they do that, they each tell Savanna their number a. Arturo says his "new" number is -15. What number did Arturo start with?
Mathematics
1 answer:
Kaylis [27]3 years ago
7 0

Answer:

x  = - 6

Step-by-step explanation:

Let  x  b number, according to instructions´ we must

1.-Multiply  by  4

2.-Subtract  6

3.-Divide by 2

4.-Arturo says his new number  - 15

4,.Which one was the original number   ??

The maths expression for that  is :

(4*x - 6 ) / 2  =  -  15

we solve for x

4x  -  6  = - 30

4x   =  - 24

x  = - 6

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HELP! &lt;3<br><br> I have other questions as well not yet posted, if you'd like more points! :3
ratelena [41]

Option B: \frac{AB}{BC}=\frac{AE}{ED} is sufficient to prove that BE ll CD

Explanation:

Given that ACD is a triangle.

The line EB intersects the sides AC and AD of the triangle.

The point E intersect the side AD and B intersect the side AC.

We need to prove that BE ll CD

Then, the side splitter theorem states that "If a line intersects two sides of a triangle and divides the sides proportionally, the line is parallel to the third side of the triangle".

From the side splitter theorem, the line EB intersects the two sides of the triangle AC and AD and divides the sides proportionally.

Thus, the proportion of the sides is given by

\frac{AB}{BC}=\frac{AE}{ED}

This proportionality shows that the line is parallel to the third side of the triangle.

Hence, \frac{AB}{BC}=\frac{AE}{ED} is sufficient to prove that BE ll CD

Therefore, Option B is the correct answer.

3 0
3 years ago
Which is a factor of each term of the polynomial? <br><br> (3d2 – 10d)
diamong [38]
D is common in both polynomials
4 0
3 years ago
Huilan is 9 years younger than Thomas. The sum of their ages is 85. What is Thomas's age?
Naya [18.7K]

Answer:

Step-by-step explanation:

                                                                                                                        thomas age is 47

4 0
3 years ago
Read 2 more answers
Three bus tickets cost $5.<br><br> How many bus tickets can you buy with $15?
Pavel [41]

Answer: 9 tickets

Step-by-step explanation:

5 0
2 years ago
69. REAL-WORLD APPLICATIONS
svp [43]

Answer:

Cost of per session the average rate is $45.

Step-by-step explanation:

It is given that a gym membership with two personal training session cost $125, while gym membership with five personal training sessions cost $260.

It is required to find what is the cost per session.

Step 1 of 1

It is given that a gym membership with two personal training session cost $125, while gym membership with five personal training sessions cost $260.

To find the cost of per session calculate the average rate.

Now let $f(x)$ be the cost per session use the for the average rate of change, and the input value is the number of personal traings x.

$m=\frac{f\left(x_{2}\right)-f\left(x_{1}\right)}{x_{2}-x_{1}}$$

Now substitute, $125 for $f\left(x_{2}\right), 260 for $f\left(x_{1}\right), 2$ for $x_{1}$ and 5 for $x_{2}$ then,

$m=\frac{260-125}{5-2}$\$$\begin{aligned}&=\frac{135}{3} \\&=45\end{aligned}$$

Cost of per session the average rate is $45.

3 0
2 years ago
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