T us assume the two numbers to be "x" and "y".
Then
2x + y = 310
And
x - y = 55
Let us take the second equation and find the value of x in relation to y.
x - y = 55
x = y + 55
Now let us put the value of x in the first equation, we get
2x + y = 310
2(y + 55) + y = 310
2y + 110 + y = 310
3y = 310 - 110
3y = 200
y = 200/3
= 66 2/3
Now putting the value of y in the second equation, we get
x - y = 55
x - (200/3) = 55
3x - 200 = 55 * 3
3x = 165 + 200
x = 365/3
= 121 2/3
So the value of x is 121 2/3 and the value of y is 66 2/3
Answer:
f(-7) = 34
Step-by-step explanation:
If f(x) = -5x - 1, then . . .
f(x) = -5x - 1
f(-7) = -5(-7) - 1
= 35 - 1
= 34
. . . because in f(-7), the (-7) is the x-value you're supposed to use to find the value of the function.
Answer:
C. 147 minutes
Step-by-step explanation:
This is 147 minutes because 2 hours equal up to 120 minutes, before that Evelyn ran 27 minutes. So, now you have to add 120 and 27. You get 147.
Answer:
<em>Cost paid daily when using the motorcycle: $37,</em>
<em>Cost paid for each kilometer driven in the motorcycle: $ 0.23 </em>
Step-by-step explanation:
<em>~ Let us first formulate the equations, provided x ⇒ cost paid daily when using the motorcycle, and y ⇒ cost paid for each kilometer driven in the motorcycle ~</em>
8x + 650y = 445.5, and 12x + 920y = 655.6
<em>Now let us solve this equation through elimination, by multiplying the first equation by 3, and the second by -2:</em>
3 ( 8x + 650y = 445.5 ) ⇒ 24x + 1950y = 1336.5 ⇒ 110y = 25.3
+ -2 ( 12x + 920y = 655.6 ) + -24x - 1840y = - 1311.2 <em>y = 0.23</em>
<em>Now we can substitute this value of y into the first equation as to solve for x: </em>8x + 650 ( 0.23 ) = 445.5, 8x = 296, <em>x = 37</em>
<em>* Cost paid daily when using the motorcycle: $37,</em>
<em>Cost paid for each kilometer driven in the motorcycle: $ 0.23 *</em>