4 and 2/3 divided by 3/4 as a fraction

How is the product of 3 and –2 shown using integer tiles?

RideAnS [48]

(3)×(-2)=-6 that's the answer

8 0

3 years ago

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Slove the quadratic by factoring <br><br>x²-3x-16=-6

creativ13 [48]

Answer:

x^(2)-3x-16=7x

Step-by-step explanation:

3 0

3 years ago

-6/7,-3/7,0,3/7 .... create a formula that explains the arithmetic sequence

LenKa [72]

The formula that explain the arithmetic sequence is $a_{n}=\frac{3}{7}n-\frac{9}{7}$

Step-by-step explanation:

The formula of the nth term in an arithmetic sequence is

$a_{n}=a+(n-1)d$ , where

a is the first term
d is the common difference between the consecutive terms

∵ $\frac{-6}{7}$ , $\frac{-3}{7}$ , 0 , $\frac{3}{7}$ are some terms of an arithmetic sequence

∵ The difference between two consecutive terms = $\frac{-3}{7}$ - $\frac{-6}{7}$

∴ The difference between two consecutive terms = $\frac{-3}{7}$ + $\frac{6}{7}$ = $\frac{3}{7}$

∴ The common difference = $\frac{3}{7}$

∴ d = $\frac{3}{7}$

∵ The first term is $\frac{-6}{7}$

∴ a = $\frac{-6}{7}$

- Substitute a and d in the formula above

∴ $a_{n}=\frac{-6}{7}+(n-1)\frac{3}{7}$

- Simplify the right hand side

∴ $a_{n}=\frac{-6}{7}+\frac{3}{7}n-\frac{3}{7}$

- Add like terms

∴ $a_{n}=\frac{3}{7}n-\frac{9}{7}$

The formula that explain the arithmetic sequence is $a_{n}=\frac{3}{7}n-\frac{9}{7}$

Learn more:

You can learn more about the sequences in brainly.com/question/7221312

#LearnwithBrainly

3 0

2 years ago

An unloaded truck and trailer, with the driver aboard, weighs 30{,}00030,00030, comma, 000 pounds. When fully loaded, the truck

kari74 [83]

Answer:

1131 pounds.

Step-by-step explanation:

We have been given that an unloaded truck and trailer, with the driver aboard, weighs 30,000 pounds. When fully loaded, the truck holds 26 pallets of cargo, and each of the 18 tires of the fully loaded semi-truck bears approximately 3,300 pounds.

First of all, we will find weight of 18 tires by multiplying 18 by 3,300 as:

$\text{Weight of tires of the fully loaded semi-truck}=18\times 3,300$

$\text{Weight of tires of the fully loaded semi-truck}=59,400$

The weight of 26 pallets would be weight of 18 tires minus weight of unloaded truck.

$\text{Weight of 26 pallets of cargo}=59,400-30,000$

$\text{Weight of 26 pallets of cargo}=29,400$

Now, we will divide 29,400 by 26 to find average weight of one pallet of cargo.

$\text{Average weight of one pallet of cargo}=\frac{29,400}{26}$

$\text{Average weight of one pallet of cargo}=1130.769230769$

$\text{Average weight of one pallet of cargo}\approx 1131$

Therefore, the average weight of one pallet of cargo is approximately 1131 pounds.

3 0

2 years ago

The graph below shows the value of Edna's profits f(t), in dollars, after t months:

kifflom [539]

The easiest way to find the average rate of change is with the formula:
( y 2 - y 1 ) / ( x 2 - x 1 )
We have to find the average rate of change from the 18th month to the 21st month. So: y2 = 41.25, y 1 = 0, x 2 = 21, x 1 = 18;
( 41.25 - 0 ) / ( 21 - 18 ) = 41.25 / 3 = 13.75
Answer:
c. 13.75 dollars per month.

8 0

3 years ago

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