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3 years ago

If D varies directly with t and D is 105 when t is 3, find D when t is 8.

Mathematics

2 answers:

Jet001 [13]3 years ago

7 0

D varies directly with t means
d=kt

105=3k
divide both sids by 3
35=k

d=35t
when t=8
d=35(8)
d=280

B

padilas [110]3 years ago

4 0

Answer: 280

Step-by-step explanation:

d varies directly with t means

d=kt

105=3k

divide both sids by 3

35=k

d=35t

when t=8

d=35(8)

d=280

thus 280 is the answer

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how many 5 letter combinations can be created from the letters in the world “friendly” assume that the order of the letters does

Artyom0805 [142]

Answer:

Number of combinations = 56

Step-by-step explanation:

Points to remember

nCₐ = n!/(r!(n - r)!)

The given word is "FRIENDLY"

F R I E N D L Y is a 8 letter word.

<u>To find the number of combinations</u>

5 letters can be selected from 8 letter = 8C₅

8C₅ = 8!/(8 - 5)!5!

= 8!/3!5!

= (8 * 7 * 6* 5!)/(1 * 2 * 3 * 5!)

= 8 * 7

= 56

5 letter combinations can be created from the letters in the world “friendly = 56

4 0

3 years ago

write three ratios that are equivalent to the one given:the ratio of right of right-handed students to left-handed students is 1

laila [671]

The three ratios that is equal to 18:4 are

9 : 2 if you divide 18 and 4 by 2
36 : 8 if you multiply 18 and 4 by 2
54 : 12 if you multiply 18 and 4 by 3

Hope this helps!!

7 0

3 years ago

Read 2 more answers

-14(3a+6)=12(6-4a)+12 and steps please

Sunny_sXe [5.5K]

Answer:

In the given equation -14(3a+6)=12(6-4a)+12 the value of a is 28

Step-by-step explanation:

Given equation is -14(3a+6)=12(6-4a)+12

To simplify the given equation:

-14(3a+6)=12(6-4a)+12

Taking all terms to one side

-14(3a+6)-12(6-4a)-12=0

-[14(3a+6)+12(6-4a)+12]=0

Now dividing by negative sign on the above equation we get

14(3a+6)+12(6-4a)+12=0 (using distributive property)

42a+84+72-48a+12=0 ( adding the like terms )

-6a+168=0

-6a=-168

6a=168

$a=\frac{168}{6}$

Therefore a=28

Therefore in the given equation -14(3a+6)=12(6-4a)+12 the value of a is 28

8 0

3 years ago

According to the Guinness book of world records the heaviest baby ever born was 29 pounds , 4 ounces what was the baby’s mass in

viktelen [127]

Answer: 13.268 kilograms

Step-by-step explanation:

29.25 lb × 0.45359237

= 13.267576823 kg

Hope this helps!!! Good luck!!! ;)

3 0

3 years ago

Read 2 more answers

PLS HELP WILL GIVE BRAINLIEST :)

Rus_ich [418]

Step-by-step explanation:

the slope intercept form is

y = ax + b

"a" being the slope, "b" being the y- intercept (which is the y-value when x = 0).

the slope here :

in the table x is always increasing by 2.

and y is always investing by 1.

so, the slope is 1/2

the y-intercept :

we need to find the y-value for x = 0.

but we don't have a data point with x = 0 in the table.

so, we have to extend the structure of the table to the left.

x decreases by 2 (making it 0), and y decreases by 1 (making it -1).

therefore, the y- intercept (b) is -1.

and the line equation is

y = (1/2)x - 1

not sure about "the other method".

there is the point-slope form of the equation :

y - y1 = a(x - x1)

again with "a" begin the slope, and (x1, y1) being a point on the line.

if we get the y-intercept in the table, then this point is (0, y1).

and the equation would be

y - y1 = ax

in our case

y + 1 = (1/2)x

and another method ?

sometimes people write

nx + my = c

in our case starting with the original equation

y = (1/2)x - 1

2y = x - 2

-x + 2y = -2

x - 2y = 2

6 0

2 years ago