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maksim [4K]
3 years ago
5

If 3 is added to twice a number and this sum is multiplied by 6​, the result is the same as if the number is multiplied by 5 and

4 is added to the product. What is the​ number?
Mathematics
1 answer:
BartSMP [9]3 years ago
5 0
3+2x=y
6y=5x+4
6(3+2x)=5x+4
18+12x=5x+4
14+12x=5x
14=-7x
-2=x
the number is -2
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Answer:

0.44ft/hr

Step-by-step explanation:

Given parameters:

Quantity of rainfall  = 8inches

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Time  = \frac{3}{2}hr

Unknown:

Rate of rainfall expressed in ft/hr  = ?

Solution:

The rate of the rainfall is given as;

    Rate  = \frac{Quantity}{time}  

  Rate  = \frac{0.67ft}{\frac{3}{2} }    = 0.44ft/hr

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3 years ago
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Answer:

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Step-by-step explanation:

-3.4 can be written as-34/10

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3 years ago
Find the equation of the line using the point-slope formula. Write the final equation using slope-intercept form. (1,2) with a s
Lilit [14]

Answer:

y-2=\displaystyle -\frac{3}{4}(x-1)

OR

y=\displaystyle -\frac{3}{4}x+\frac{11}{4}

Step-by-step explanation:

Hi there!

Point-slope form: y-y_1=m(x-x_1) where <em>m</em> is the slope of the line and (x_1,y_1) is a given point

Given that the slope is -3/4, we can plug it into y-y_1=m(x-x_1) as <em>m</em>:

y-y_1=\displaystyle -\frac{3}{4}(x-x_1)

We can also plug in the given point (1,2):

y-2=\displaystyle -\frac{3}{4}(x-1)

Slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when the line crosses the y-axis)

To write the equation in slope-intercept form, isolate <em>y</em>:

y-2=\displaystyle -\frac{3}{4}(x-1)\\\\y=\displaystyle -\frac{3}{4}(x-1)+2\\\\y=\displaystyle -\frac{3}{4}x+\frac{3}{4}+2\\\\y=\displaystyle -\frac{3}{4}x+\frac{11}{4}

I hope this helps!

8 0
2 years ago
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DochEvi [55]

Answer:

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Step-by-step explanation:

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