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3 years ago

Write a expression that can be used to multiply 6x198

1 answer:

8 0

In this problem, we are asked to give an expression that can be used to mentally multiply 6 and 198. In order not to go through the rigorous multiplication, we can estimate 198 to 200, that is 6 *200 equal to 1200. Since there is a 2*6 excess or 12 then we subtract: 1200 -12 equal to 1188.

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7. 3x +1 =5x simplified

enot [183]

Step-by-step explanation:

3x + 1 = 5x

Bringing like terms on one side

1 = 5x - 3x

1 = 2x

1/2 = x

6 0

3 years ago

Read 2 more answers

1 point) during a winter season at one ski resort, there are two roads from area a to area b and two roads from area b to area

miss Akunina [59]

Probability that both roads from a to b are blocked is the product of the individual probabilities, i.e.
P(~ab)=0.25*0.25=0.0625
Similarly
P(~bc)=0.25*0.25=0.0625
Probability that EITHER one or both of ab and bc are blocked is the sum of the probabilities:
P(~ab ∪ ~bc)=0.0625+0.0625=0.125
(recall that one cannot travel from a to c if either ab or bc is blocked.)

Therefore the probability that there exists an open route from a to c
= P(ac) = 1-P(~ab ∪ ~bc)
= 1 - 0.125
=0.875

5 0

3 years ago

Given y = a(x - h)^2 + k, p = A. a B. 4a C. 1/4a

Flauer [41]

9514 1404 393

Answer:

C. 1/(4a)

Step-by-step explanation:

We assume you're comparing the vertex form ...

y = a(x -h)^2 +k

to the form used to write the equation in terms of the focal distance p.

y = 1/(4p)(x -h)^2 +k

That comparison tells you ...

a = 1/(4p)

p = 1/(4a) . . . . . . multiply by p/a; matches choice C

Additional comment

When using plain text to write a rational expression, parentheses are needed around any denominator that has is more than a single constant or variable. The order of operations requires 1/4a to be interpreted as (1/4)a. The value of p is 1/(4a).

When rational expressions are typeset, the fraction bar serves as a grouping symbol identifying the entire denominator:

$p=\dfrac{1}{4a}$

8 0

3 years ago

How many places do you need to move the decimal to the left to write the number below in scientific notation? 60000000000

garik1379 [7]

60,000,000,000 in scientific notation is 6 x 10^10 so you move the decimal 10 times.

8 0

3 years ago

1. Fruits are taken successfully from a bag containing 6 avocados, 4 bananas and 5

victus00 [196]

Total 15

6+4=10+5=15

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7 0

2 years ago