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3 years ago

A salt truck drops 39 kilograms of salt per minute. How many grams of salt does the truck drop per second?

Mathematics

1 answer:

kvv77 [185]3 years ago

3 0

You answer is 650 grams

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4x + 11 = 15 what is an equivalent equation for each given equation

slavikrds [6]

I can solve it?

take away 11 from both sides to make..
4x = 4
simplified (4 ÷ 4) to make x=1

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2 years ago

Read 2 more answers

Write an equation in slope-intercept form (0,2) (7,-1)

maksim [4K]

Answer:

y=-3/7x+2

Step-by-step explanation:

first formula (Slope): y2-y1/x2-x1

-1-2/7-0= -3/7

second formula (point slope): y-y1=m(x-x1)

y-2=-3/7(x-0)

(distribute the -3/7)

y-2=-3/7x-0

(add 2 to both sides)

y=-3/7x+2

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3 years ago

18. Determine the common difference, the fifth term, and the sum of the first 100 terms of the following sequence:

Ksenya-84 [330]

$a_1=1,\ a_2=2.5,\ a_3=4,\ a_4=5.5,\ ...\\\\a_2-a_1=2.5-1=1.5\\a_3-a_2=4-2.5=1.5\\a_4-a_3=5.5-4=1.5\\a_{n+1}-a_n=1.5=constans\\\\\text{It's an arithmetic sequence with}\\a_1=1,\ \boxed{d=1.5}\\\\a_n=a_1+(n-1)d\to a_n=1+(n-1)(1.5)=1+1.5n-1.5\\\\a_n=1.5n-0.5\\\\a_5=1.5(5)-0.5=7.5-0.5=7\\\boxed{a_5=7}\\\\\text{The formula of a Sum of the First n Terms of an Arithmetric Sequence:}\\\\S_n=\dfrac{2a_1+(n-1)d}{2}\cdot n\\\\\text{We have:}\\a_1=1,\ d=1.5,\ n=100\\\\\text{Substitute}$

$S_{100}=\dfrac{(2)(1)+(100-1)(1.5)}{2}\cdot100=\dfrac{2+(99)(1.5)}{1}\cdot50\\\\=(2+148.5)\cdot50=150.5\cdot50=7,525\\\\\boxed{S_{100}=7,525}\\\\Answer:\\the\ common\ difference:\ d=1.5\\the\ fifth\ term:\ a_5=7\\the\ sum\ of\ first\ 100\ terms:\ S_{100}=7,525$

8 0

3 years ago

Find the slope and the y-intercept for y=-5x

aleksley [76]

Slope= -5
Y-intercept= 0

4 0

3 years ago

The product of 5 and 2 less than triple a number equals the product of 7 and 8 more than twice the number. What is the number?

Oksi-84 [34.3K]

Answer:Hi,

Let the number be x

Twice the number is 2x

Five less than twice the number is 2x-5, which is given as 9

Therefore, 2x-5 = 9

or, 2x = 9+5

or, 2x = 14

or x=7

Thus the number is 7.

Cheers

Step-by-step explanation:

5 0

2 years ago