Answer:
B. 3
Step-by-step explanation:
Let's make an equation for this. Our unknown number is x.
x
We are adding 4.
x + 4
Then multiplying by 5.
(x + 4) • 5
It will equal 35.
(x + 4) • 5 = 35
To solve this, divide both sides by 5.
(x + 4) = 7
Now subtract 4 from both sides.
x = 3
This is your answer.
Check this by plugging it back into our original equation.
(x + 4) • 5 = 35
(3 + 4) • 5 = 35
7 • 5 = 35
35 = 35
Your answer is correct.
Hope this helps!
Answer:
24
Step-by-step explanation:
4x + 6 = 102
-6. -6
4x= 96
x=24
Slope = 2/5 ; Passes through (-4, -7) ; Point-slope form
point-slope form : y-y₁=m(x-x₁)
Simply plug everything in :)
Remember !! m=slope
y - (-7) = 2/3(x - (-4))
Simplify.
y + 7 = 2/3(x + 4)
*Some teachers want this simplified more so here's the simplest answer :
y + 7 = 2/3x + 8/3 *
~Hope I helped!~
Answer:
The predicted GPA is then y = 0.149(15) + 0.89 = 3.125
Step-by-step explanation:
Although you don't specifically say so, the equation you provide here is probably a "best fit" equation based upon data: GPA versus number of hours of study per week.
Here, y = 0.149x + 0.89 and the number of study hours of interest is 15.
The predicted GPA is then y = 0.149(15) + 0.89 = 3.125
Answer:
9.56 ft/sec
Step-by-step explanation:
We are told that a 5.8-ft-tall person walks away from a 9-ft lamppost at a constant rate of 3.4 ft/sec.
I've attached an image showing triangle that depicts this;
Thus; dx/dt = 3.4 ft/sec
From the attached image and using principle of similar triangles, we can say that;
9/y = 5.8/(y - x)
9(y - x) = 5.8y
9y - 9x = 5.8y
9y - 5.8y = 9x
3.2y = 9x
y = 9x/3.2
dy/dx = 9/3.2
Now, to find how fast the tip of the shadow is moving away from the lamp post, it is;
dy/dt = dy/dx × dx/dt
dy/dt = (9/3.2) × 3.4
dy/dt = 9.5625 ft/s ≈ 9.56 ft/sec
