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Lady bird [3.3K]
2 years ago
5

Help, pls. In an algebra test rn

Mathematics
1 answer:
Nata [24]2 years ago
6 0
I cannot see the picture
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If 18 is added to a certain number and the sum is divided by 6, the result is 1 more than 14 of the original number. Find the or
Katyanochek1 [597]
The original number is 72 


(18+x)/6 = 1+14 
1/6x + 3 = 1 + 14 (Distribute)
1/6x + 3 = (1+14) (Combine Like Terms)
1/6x + 3 = 15 
        - 3 = -3          (Subtract 3 From Both Sides)
1/6x = 12 
(1/6x)*6 = 12 * 6  (Multiply Both Sides By 6)
x = 72


5 0
3 years ago
Question 14
Reil [10]

Answer:

The system of equations has a one unique solution

Step-by-step explanation:

To quickly determine the number of solutions of a linear system of equations, we need to express each of the equations in slope-intercept form, so we can compare their slopes, and decide:

1) if they intersect at a unique point (when the slopes are different) thus giving a one solution, or

2) if the slopes have the exact  same value giving parallel lines (with no intersections, and the y-intercept is different so there is no solution), or

3) if there is an infinite number of solutions (both lines are exactly the same, that is same slope and same y-intercept)

So we write them in slope -intercept form:

First equation:

6x+y=-1\\y=-6x-1

second equation:

-6x-4y=4\\-6x=4y+4\\-6x-4=4y\\y=-\frac{3}{2} x-1

So we see that their slopes are different (for the first one slope = -6, and for the second one slope= -3/2) and then the lines must intercept in a one unique point. Therefore the system of equations has a one unique solution.

6 0
3 years ago
You and two friends eat at a restaurant and split the bill evenly. The food bill is $20.88. Sales tax is 5%. You leave a %20 tip
poizon [28]

Answer:

26.31

Step-by-step explanation: i think..

8 0
2 years ago
What is the measure of angle ABC in the circle shown in the picture?
Fynjy0 [20]

Answer:

45°

Step-by-step explanation:

I think you meant m<ACB, and from what I see here, I took half of 90°, which is 45°.

3 0
3 years ago
The hypotenuse of a right triangle is twice the length of one of its legs. Th length of the other leg is three feet. Find the le
IgorLugansk [536]
Let
x----> the length side of the hypotenuse
y----> the length side of the <span>unknown leg

we know that
x=2*y----> equation 1
applying the Pythagoras Theorem
x</span>²=y²+3²-----> equation 2

substitute equation 1 in equation 2
[2*y]²=y²+3²----> 4*y²-y²=9-----> 3*y²=9----> y²=3
y=√3 ft
x=2*y----> x=2*√3 ft

the answer is
<span>the lengths of the three sides are
</span>hypotenuse=2√3 ft
one leg=√3 ft
other leg=3 ft

7 0
3 years ago
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