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Vsevolod [243]
2 years ago
12

Given: RS = 3x - 16 ST = 4x - 8 RT = 60 Solve for RS.

Mathematics
1 answer:
Leno4ka [110]2 years ago
8 0
RT = RS + ST
60 = 3x -16 + 4x -8
60 = 7x - 24
84 = 7x
84/7 = 7x/7
12 = x

RS = 3x - 16
RS = 3(12) - 16
RS = 36 - 16
RS = 20
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How do I work this out ?
podryga [215]

Answer:

-4

Step-by-step explanation:

First, multiply

-12*2+8*2/-5-(-7)

= -8/-5-(-7)

Second do -5-(-7)

= -8/2

= -4

3 0
3 years ago
the area of Alaska is about 2 x 10 to the 6 power square kilometers the area of Rhode Island is about 4 x 10 to the 3rd power sq
hram777 [196]

Answer:

i think the answer is A: 0.0005

Step-by-step explanation:

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3 0
2 years ago
Ritchie got a job at the movie theater. On the first day, he sold 5 adult tickets and 7 children tickets for a total of 104. On
g100num [7]

Answer:

  • adult: $11
  • children: $7

Step-by-step explanation:

The sales on the two days can be expressed using equations that can be solved for ticket prices.

<h3>Setup</h3>

Let x and y represent the prices of adult and children's tickets, respectively. Then the sales revenue for the two days can be expressed in the equations ...

  • 5x +7y = 104
  • 7x +3y = 98

<h3>Solution</h3>

One of the easiest solution methods is to use a graphing calculator. The first attachment shows the prices are $11 for an adult ticket; $7 for children tickets.

Using the matrix functions of a calculator, the augmented matrix of the equation coefficients can be reduced to row-echelon form. This, too, shows the solution to be (adult price, children price) = ($11, $7). See the second attachment. (The solution is the right-most column of the reduced matrix.)

Yet another solution method can use the coefficients from the equations written in general form:

  • 5x +7y -104 = 0
  • 7x +3y -98 = 0

In this form, we define three products of "cross multiplication":

  Δ1 = (5)(3) -(7)(7) = -34

  Δ2 = (7)(-98) -(3)(-104) = -374

  Δ3 = (-104)(7) -(-98)(5) = -238

Using those, we find the variable values to be ...

  x = Δ2/Δ1 = -374/-34 = 11

  y = Δ3/Δ1 = -238/-34 = 7

(adult price, children price) = ($11, $7)

__

You can read more about the cross-multiplication method here:

brainly.com/question/26397343

6 0
1 year ago
Read 2 more answers
Select all the equations that represent functions where the range decreases as the domain increases.
taurus [48]
A, C, and E.
you can check them by putting into y=mx+b form. if m is negative then as domain increases range decreases.
3 0
3 years ago
The smallest unit of size in the list below is the
Neko [114]
D.) Nanometer is the smallest among your options.

It is equal to 10^-9

Hope this helps!
5 0
3 years ago
Read 2 more answers
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