2 years ago

Simplify the following expressions: 1/3(6a+12)+3a

Mathematics

2 answers:

Maru [420]2 years ago

3 0

Answer in simplified expression: 5a+4

SSSSS [86.1K]2 years ago

3 0

The simplified answer is 5a + 4

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Given RT below, if S lies on RT such that the

defon

Answer:

(-2, -3)

Step-by-step explanation:

If a segment having extreme ends as $(x_1,y_1)$ and $(x_2,y_2)$ is divided by a point (x, y) in the ratio of m:n,

x = $\frac{mx_2+nx_1}{m+n}$

y = $\frac{my_2+ny_1}{m+n}$

Since, a line RT has extreme ends as R(-5, 3) and T(-1, -5) then a point S(x, y) which divides RT in the ratio of 3 : 1 will be,

x = $\frac{3(-1)+1(-5)}{3+1}$

= $\frac{-8}{4}$

= -2

y = $\frac{3(-5)+1(3)}{3+1}$

= $-\frac{12}{4}$

= -3

Therefore, coordinates of the point S will be (-2, -3).

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2 years ago

Caroline, Colin & Sarah share some money.

julia-pushkina [17]

Answer:

2/9

Step-by-step explanation:

After Caroline's share,

1 - 1/9 = 8/9 is left

Sarah gets:

1/(1+3) of 8/9

1/4 × 8/9

2/9

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2 years ago

Find a122 of the sequence 5, 8, 11

ruslelena [56]

5, 8, 11, ... is an arithmetic sequence where:

$a_1=5;\ a_2=8;\ d=8-5=3\\\\a_n=a_1+(n-1)d\to a_n=5+(n-1)\cdot3=5+3n-3=2+3n\\\\therefore\\\\a_{122}=2+3\cdot122=2+366=368$

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2 years ago

5. Heathcliff found a road map showing the driving route to a resort that he knows Gertrude enjoys. The map shows a roadway, sta

tigry1 [53]

$\sqrt{ (8+7)^{2} +(5+3)^{2} } =17$ .
the answer is 17 miles

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2 years ago

Read 2 more answers

In a health club, research shows that on average, patrons spend an average of 42.5 minutes on the treadmill, with a standard dev

Paha777 [63]

Answer:

0.3114

Option d is right

Step-by-step explanation:

Let X be the time spent on a treadmill in the health club

Given that research shows that on average, patrons spend an average of 42.5 minutes on the treadmill, with a standard deviation of 5.4 minutes

Also given that X is normal

the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill.

$= P(30$

round off to two decimals tog et

the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill is 0.31

Hence option d is right

3 0

2 years ago