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Tatiana [17]
3 years ago
11

The difference of four times a number and nine is 27. Find the number.

Mathematics
1 answer:
Dmitry [639]3 years ago
3 0
Answer: the number is 9

Explanation:
4x - 9 = 27

Add 9 to both sides:
4x = 36

Divide both sides by 4:
x = 9

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A line intersects the point (3,-4)and has a slope of 17 .what is the slope - intercept equation for this line?
vladimir1956 [14]

Answer:

The slope - intercept equation for this line is y = 17x - 55

Step-by-step explanation:

The general form of the slope-intercept form is

y = mx +b

where m is the slope and b is the y-intercept.

We are given slope m = 17

we need to find b the y-intercept.

To find y-intercept we would use point(3,-4) and formula

y = -4

x = 3

m = 17

b=?

y = mx + b

-4 = (17)(3) + b

-4 = 51 + b

b = -4 -51

b = -55

So, y-intercept is -55

The slope - intercept equation for this line is y = 17x - 55

3 0
3 years ago
25 times the sum of X and Y? and 8 more than the quotient of q and t?
Mkey [24]

Answer:

this hard

Step-by-step explanation:

8 0
3 years ago
What is 7-4[3-(4y-5)]
drek231 [11]

Answer:

16y -25

Step-by-step explanation:

7-4[3-(4y-5)] = 7 -4(3 -4y +5) = 7 -4(-4y +8)

= 7 + 16y -32

= 16y -25

4 0
3 years ago
A boat traveled 128 kilometers in
AlekseyPX

Answer:

The Distance cover by boat in 2 hours and 15 minutes is 72 km  

Step-by-step explanation:

Given as :

The Distance cover by boat = 128 kilometer

The time taken is 4 hours

As , Distance = Speed ×Time

So , Speed = \frac{Diastance}{Time}

Or, Speed = \frac{128 km}{4 hours}

∴   Speed = 32 km per hour

Now, again The boat travel 2 hours and 15 minutes further with speed 32 kmph

So, Time2 = 2 + \frac{15}{60}

Or,  Time2 = 2 + \frac{1}{4}

I.e Time2 = \frac{9}{4}  hours

Again , Distance = Speed ×Time

So ,    Distance = 32kmph × \frac{9}{4}  hours

I.e       Distance  = (\frac{32\times 9}{4}) = 72 kilometer

Hence The Distance cover by boat in 2 hours and 15 minutes is 72 km  Answer

5 0
3 years ago
Write an equation of the line and interpret the slope ​
Bess [88]

Answer:

Step-by-step explanation:

Slope of this line will be= m= (600-200)/(1-5)

m = 400/-4 = -100

Eq of line will be:

(y-y1)=m(x-x1)

y-200=-100(x-5)

y-200+100x-500=0

100x+y-700 = 0

To write equation in slope-intercept form

y=mx+c

just seperate "y"

y=-100x+700

4 0
3 years ago
Read 2 more answers
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