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Leno4ka [110]
3 years ago
8

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 = <span>334</span>
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,

<em><u>Rate * Time = Work/Job</u></em>

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


  • <u>Finding rate of Sanjay:</u>

R(6)=1\\R=\frac{1}{6}

  • <u>Finding rate of Felipe:</u>

R(8)=1\\R=\frac{1}{8}


Working together, their rate is the sum,

Total Rate = \frac{1}{6} + \frac{1}{8} = \frac{7}{24}.


Using the general formula again, we can find the time it will take to solve the puzzle when both works together.

(\frac{7}{24})T=1\\ T=\frac{1}{\frac{7}{24}}= \frac{24}{7} = 3.43 hours

Rounding the answer, we have 3.4 hours.


ANSWER: 3.4 hours


6 0
3 years ago
Read 2 more answers
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