Let's solve your equation step-by-step.
<span><span><span><span>3v</span>+9</span>−<span>8v</span></span>=<span>−31
</span></span>Step 1: Simplify both sides of the equation.
<span><span><span>−<span>5v</span></span>+9</span>=<span>−31
</span></span>Step 2: Subtract 9 from both sides.
<span><span><span><span>−<span>5v</span></span>+9</span>−9</span>=<span><span>−31</span>−9</span></span><span><span>−<span>5v</span></span>=<span>−40
</span></span>Step 3: Divide both sides by -5.
<span><span><span>−<span>5v</span></span><span>−5</span></span>=<span><span>−40</span><span>−5
</span></span></span><span>v=<span>8</span></span>
Answer:
The equation in slope-intercept form that represents the situation is y=0.25*x + 84 where y represents the temperature in ° F and x the number of chirps per minute.
Step-by-step explanation:
A linear equation can be expressed in the form y=m*x + b. In this equation, x and y are coordinates of a point, m is the slope and b is the y coordinate of the y-intercept. Since this equation describes a line in terms of its slope and its y-intercept, this equation is said to be in its slope-intercept form.
When there are two points of a line (x1, y1) and (x2, y2), the slope is determined by the quotient between the difference of the ordinate of these two points and the difference of the abscissa of the same points. This is:

Having a point on the line, you can substitute the values of m, x and y in the equation y = mx + b and thus find b.
In this case:
- (x1, y1): (92, 107)
- (x2, y2): (116, 113)
So:

m= 0.25
substituting the values of m, x1 and y1 in the equation y = mx + b you have:
107= 0.25*92 + b
107 - 0.25*92= b
84=b
<u><em>The equation in slope-intercept form that represents the situation is y=0.25*x + 84 where y represents the temperature in ° F and x the number of chirps per minute.</em></u>
Answer:
50%
Step-by-step explanation:
There are 6 sides on the die. 3 of the sides have even numbers (2,4,6) and 3 of the sides have odd numbers (1,3,5). Since there are the same amount of odd numbers as even numbers on the die, you have an equal chance rolling an even number as you do for an odd number. In other words, you have a 50% chance of rolling an odd number.
Hope this helps! :D
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Answer:
3 obreros tardaran 225 minutos en completar el trabajo.
Step-by-step explanation:
Sea R la velocidad con la que un obrero puede construir 1 muro.
Sabemos que 15 obreros construyen un muro en 45 minutos, entonces:
(15*R)*45min = 1 muro
Con esta ecuación podemos encontrar el valor R
R = (1 muro)/(15*45min)
Ahora queremos saber cuando tiempo tardan 3 obreros en construir un muro, entonces tenemos que resolver:
(3*R)*T = 1 muro
Reemplazando el valor de R obtenemos:
(3*(1 muro)/(15*45min))*T = 1 muro
T = (1 muro)*(15*45 min)/(3*1 muro)
T = 5*45min = 225 min
3 obreros tardaran 225 minutos en completar el trabajo.
Answer:
H(d) = 0.3d + 12
Step-by-step explanation:
It started at 12 inches.
Then it grew 0.3 inches per day.
Let d = number of days.
The growth is 0.3 d.
Add the growth to the original length, to get 0.3d + 12.
Answer: H(d) = 0.3d + 12