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Aleks04 [339]
3 years ago
12

What is the solution to the equation? 36x-20=160

Mathematics
2 answers:
Pepsi [2]3 years ago
8 0
36x - 20 = 160
+ 20 + 20
36x = 180
—— ——
36 36

ANSWER: x = 5
Arisa [49]3 years ago
7 0

Answer:

x=5

Step-by-step explanation:

36x-20=160

first, find the value of x

add 20 from both sides

36x-20=160

+20 +20

36x=180

then, divide 36 from both sides to get x by itself

36x/36=140/36

x=5

now, plug x into the equation to check your work

36(5)-20=160

multiply 36 and 5

180-20=160

subtract 20 from 180

180-20=160

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The product of 2 numbers is -24 and their sum is -5. What are the two numbers and why are they the two numbers?
lana [24]

The numbers are (-8, 3) or (3, -8).

Step-by-step explanation:

  • Step 1: Given the product of the numbers are -24 and their sum are -5. Let the numbers be a and b. Form equations out of these details.

⇒ a + b = -5 ⇒ b = -5 - a

⇒ a × b = -24 -------- (1)

  • Step 2: Substitute the value of b in eq(1)

⇒ a × (-5 - a) = - 24

⇒ -5a - a² = -24

⇒ a² + 5a - 24 = 0

  • Step 3: Solve the quadratic equation for a.

a = (-5 ± √25 - 4 × 1 × -24)/2

  = (-5 ± √121)/2

  = - 16/2, 6/2 = -8 or 3

  • Step 4: For each value of a, find b.

When a = -8, b = -5 +8 = 3

When a = 3, b = -5 - 3 = -8.

6 0
3 years ago
Determine whether the pair of actions results in independent or dependent events. Serena picks one marble out of a bag. Then, af
harina [27]

Answer:

B) Independent; the 1st marble selection will not affect the 2nd marble selection.

Step-by-step explanation:

When finding the probability of events in mathematics, we have both independent and dependent events.

Independent events are events that occur when the results of selection of the first events does not affect the results or outcomes of the second events.

Dependent events are the opposite of Independent events. They are events that occur when the results or outcomes obtained from the second events is affected by the results or outcomes from the selection of the first events.

From the question, we can see that the first event is she picked one marble from the bag. The second event is she replaced the marble before picking another marble. By doing this, the total number of possible outcomes for the probabilities of both events remains the same and they are unaffected.

Therefore, we can say that the two events are Independent because the 1st marble selection will not affect the 2nd marble selection.

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Answer:

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Step-by-step explanation:

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The ratio of the lengths of the sides is:

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The order of the sides in the ratio above is

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x = 3\sqrt{2}

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Step-by-step explanation:


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