A) w + 7 = L
B) w * L = 120
A) w = L -7 then substituting this into B)
(L-7) * L = 120
L² -7L = 120
L² -7L -120 = 0
Solving by quadratic Formula:
L1 = 15
L2 = -8
If length = 15, then width = 8
Answer:
48 minutes.
Step-by-step explanation:
Number of dishes rinsed by Juan in <em>1</em><em> </em><em>m</em><em>i</em><em>n</em><em>u</em><em>t</em><em>e</em><em> </em>
= 480/80
= 6
Number of dishes rinsed by Kevin in <em>1</em><em> </em><em>m</em><em>i</em><em>n</em><em>u</em><em>t</em><em>e</em>
= 480/120
= 4
Number of dishes rinsed by Juan and Kevin in <em>1</em><em> </em><em>m</em><em>i</em><em>n</em><em>u</em><em>t</em><em>e</em>
= 6 + 4
= 10
Hence, time taken by Juan and Kevin to rinse the dishes
= 480/10
= <u>4</u><u>8</u><u> </u><u>m</u><u>i</u><u>n</u><u>u</u><u>t</u><u>e</u><u>s</u>.
Hence It will take <u>4</u><u>8</u><u> </u><u>m</u><u>i</u><u>n</u><u>u</u><u>t</u><u>e</u><u>s</u> for them to rinse the dishes.
Answer:
10 miles
Step-by-step explanation:
This is a right triangle. This is know because of the little square in the corner that indicates a right angle. Therefore, the Pythagorean Theorem can be used.
a^2+b^2=c^2
where a and b are the legs and c is the hypotenuse.
In this triangle, 24 and x are the legs, because they form the right angle. 26 is the hypotenuse because it is opposite the right angle.
x^2+24^2=26^2
Evaluate the exponents
x^2+576=676
Now, solve for x. First, move 576 to the other side of the equation by subtracting 576 from both sides.
x^2+576-576=676-576
x^2=100
Now, x is being squared. Take the square root of both sides.
√x^2=√100
x=√100
x=10
Use appropriate units
x=10 miles
The missing side length is 10 miles.
Answer:
$34.80
Step-by-step explanation:
580(1.06)^1
614.8
614.8-580
$34.80
So I looked it up on another math helper app called ( Socratic )and this is what popped up on my screen Simplifying
16 = 17 + -1t
Solving
16 = 17 + -1t
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add 't' to each side of the equation.
16 + t = 17 + -1t + t
Combine like terms: -1t + t = 0
16 + t = 17 + 0
16 + t = 17
Add '-16' to each side of the equation.
16 + -16 + t = 17 + -16
Combine like terms: 16 + -16 = 0
0 + t = 17 + -16
t = 17 + -16
Combine like terms: 17 + -16 = 1
t = 1
Simplifying
t = 1
So I’m pretty sure that’s the answer:) if not I’m truly sorry.
