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Alex
3 years ago
10

Please help me add these two fractions! Add 5/18 + 31/72

Mathematics
2 answers:
Sphinxa [80]3 years ago
6 0
The answer is : 17/24
padilas [110]3 years ago
5 0

Answer:

something over something

Step-by-step explanation:

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The perimeter of a rectangle is 24mm. The length is 4mm less than triple the width. What are the dimensions of the rectangle
Bess [88]
<h3><u>The length is equal to 8.</u></h3><h3><u>The width is equal to 4.</u></h3>

2l + 2w = 24

l = 3w - 4

Because we have a value for l, we can plug it into the first equation to solve for the exact value of w.

2(3w - 4) + 2w = 24

Distributive property.

6w - 8 + 2w = 24

Combine like terms.

8w - 8 = 24

Add 8 to both sides.

8w = 32

Divide both sides by 8.

w = 4

Now that we have a value for w, we can plug it into the second equation to solve for the exact value of l.

l = 3(4) - 4

l = 12 - 4

l = 8

4 0
3 years ago
Stu trained for a triathlon for 5 hours yesterday. He ran 5 miles and then biked 80 miles. His biking speed is 15 mph faster tha
lara31 [8.8K]

Answer:

Step-by-step explanation:

Given as :

The distance cover while running = D_1 = 5 miles

Let The speed for running = S_1

The distance cover with bike = D_2 = 80 miles

The speed for biking = S_2 = 15 mph +  S_1

Total Time taken = 5 hours

Now Time = \dfrac{\textrm Distance}{\textrm Speed}

∴ 5 hour = \frac{D_1}{S_1} +  \frac{D_2}{S_2}

Or,  5 hour = \frac{5}{S_1} +  \frac{80}{15+S_1}

Or, 5 hour = \frac{75 + 5 S_1 + 80 S_1}{S_1(15+S_1)}

or,  5 × (S_1^{2}+15 S_1) = 85 S_1 + 75

Or, 5 S_1^{2} + 75 S_1 -  85 S_1 - 75 = 0

or, 5 S_1^{2} -10 S_1 - 75 = 0

or,   S_1^{2} -2 S_1 - 15 = 0

Or, S_1^{2} -3 S_1 + 5 S_1- 15 = 0

Or, S_1 (S_1 - 3) + 5 (S_1 - 3) = 0

Or, (S_1 - 3) ( S_1 + 5 ) = 0

∴ S_1 = 3 , - 5

So, the running speed = 3 mile per hour

And the biking speed = 15 mph + 3 mph = 18 mile per hour

Hence The running speed of Stu is 3 mile per hour  .  Answer

7 0
3 years ago
¿Por qué un conjunto numerable es una función biyectiva?????
WITCHER [35]
En matemáticas, un conjunto contable es un conjunto con la misma cardinalidad (número de elementos) que un subconjunto del conjunto de números naturales. Un conjunto contable es un conjunto finito o un conjunto contable infinito.
8 0
3 years ago
Is 28 a solution to the inequality you wrote in Exercise 3? How do you know?
Evgen [1.6K]

Answer:

Yes

Step-by-step explanation:

s<30

Put in 28 for s

28<30

Twenty eight is less than 30 so it is a solution

6 0
3 years ago
Express it in slope-intercept form.​
motikmotik

Answer:

y = 1/4x - 4

Step-by-step explanation:

The slope is four points behind the origin, so we subtract -4 from the equation:

y = 1/4x - 4

7 0
2 years ago
Read 2 more answers
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