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3 years ago

What is the answer for this

Mathematics

1 answer:

jek_recluse [69]3 years ago

4 0

Answer:

Step-by-step explanation:

.72x+3=0.3(2.4+15)

.72x+3=0.72+4.5=0.72+4.50

.72 x=5.22

$x=\frac{5.22}{0.72} =\frac{522}{72} =\frac{29}{4} =7\frac{1}{4}$

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Determine the equation of the line that goes through points (1.1) and (3.7).

ValentinkaMS [17]

Answer:

The equation of the line that goes through points (1,1) and (3,7) is $\mathbf{y=3x-2}$

Step-by-step explanation:

Determine the equation of the line that goes through points (1,1) and (3,7)

We can write the equation of line in slope-intercept form $y=mx+b$ where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding Slope

Slope can be found using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}$

We have $x_1=1, y_1=1, x_2=3, y_2=7$

Putting values and finding slope

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{7-1}{3-1}\\Slope=\frac{6}{2}\\Slope=3$

We get Slope = 3

Finding y-intercept

y-intercept can be found using point (1,1) and slope m = 3

$y=mx+b\\1=3(1)+b\\1=3+b\\b=1-3\\b=-2$

We get y-intercept b = -2

So, equation of line having slope m=3 and y-intercept b = -2 is:

$y=mx+b\\y=3x-2$

The equation of the line that goes through points (1,1) and (3,7) is $\mathbf{y=3x-2}$

4 0

3 years ago

Find an equation for the perpendicular bisector of the line segment whose endpoints are

Degger [83]

Answer:

y = -2/3x - 11/3

Step-by-step explanation:

7 0

3 years ago

Helppppppppppppp meeeee pleaseeeeeee

Arte-miy333 [17]

Answer:

I'm pretty sure it's the first and last one

3 0

3 years ago

How many of the first 1000 positive integers are multiples of both 4 and 5 but not 6 ?

castortr0y [4]

Let's begin by breaking each number down into its prime factors: 4 = 2 x 2 5 = 5 6 = 2 x 3 Next, let's determine the Lowest Common Multiple (LCM) of the numbers 4, 5, and 6 by multiplying all common and unique prime factors of each number: common prime factors: 2 unique prime factors: 2,5,3 LCM = 2 x 2 x 5 x 3 = 60 Next, let's determine how many times 60 goes into 10,000 (excluding remainder): 10,000/60 = 166 and 2/3 Multiples of ALL 3 numbers (4,5,6) = 166 Next, let's determine the Lowest Common Multiple (LCM) of the numbers 4 and 5 by multiplying all common and unique prime factors of each number: common prime factors: none
unique prime factors: 2 x 2 x 5
LCM = 2 x 2 x 5 = 20 Next, let's determine how many times 20 goes into 10,000:
10,000/20 = 500
Multiples of BOTH numbers (4 and 5) = 500 Finally, let's subtract the multiples of ALL three numbers (4,5,6) from the multiples of BOTH numbers (4 and 5) to get our answer: Multiples of ONLY numbers 4 and 5 (excluding 6): 500 - 166 = 334

5 0

3 years ago

Sanjay and Felipe are putting together a 500-piece puzzle. Sanjay could do the entire puzzle by himself in 6 hours, while it wou

Nata [24]

What is the time it takes Sanjay to complete the puzzle? 6 hours

What is the time it takes Felipe to complete the puzzle? 8 hours

We can use the general formula of rate and time to solve this problem. Generally we have,

Rate * Time = Work/Job

** where Work/Job for this problem is 1 since they are doing 1 work, which is solving a puzzle