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3 years ago

4x+14+8x-14=180 find for x

Mathematics

2 answers:

k0ka [10]3 years ago

6 0

Answer:

x = 15

Step-by-step explanation:

by solving;

4x + 8x +14 -14 = 180
12x = 180
x = 180 / 12
x = 15

i hope it helped....... ^_^

denpristay [2]3 years ago

6 0

Answer is x = 15

4x + 14 + 8x -14 = 180

Add/subtract x terms and non x terms

12x = 180

x = 180/12 = 15

Check if answer is right by putting x = 15 back into original equation and seeing if it equals 180

4(15) + 14 + 8(15) -14 = 180

Answer is correct.

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find the slope of the line through the given pair of points, if possible. Based on the slope, indicate whether the line through

Nat2105 [25]

Easy peasy
slope=(change in rise)/(change in run)
aka
slope between points (x1,y1) and (x2,y2) is
slope=(y2-y1)/(x2-x1) since y is rise/up and x is run/leftright

points

(-7,-9) and (-5,-8)
x1=-7
y1=-9
x2=-5
y2=-8
remember minusing a negative means addin a positive
slope=(-8-(-9))/(-5-(-7))=
(-8+9)/(-5+7)=1/2

slope=1/2

positive slopes go from bottom left to top right

since it is less than 1
it is more horizonal than vertical

4 0

3 years ago

Justin Verlander of the Astros threw a pitch 100 miles per hour. How many seconds did it take to get to home plate. The plate is

castortr0y [4]

It will take 0.4 seconds to get to the home plate.

Given:

The speed of the pitch thrown by Justin is 100 miles per hour

The distance of home plate from the pitching rubber is 60.5 feet

To find:

The time taken by a pitch to reach the home plate

Solution:

The distance home plate from the pitching rubber = d = 60.5 feet

$1 mile = 5280 feet\\1 foot=\frac{1}{5280} mile\\60.5 feet=60.5 \times \frac{1}{5280} mile=\frac{60.5}{5280}miles$

The speed of pitch thrown by Justin = s = 100 miles/hr

The time taken by a pitch to reach the home plate = t =?

The speed of the moving object is given by dividing the distance covered from the time taken to cover that distance.

$Speed=\frac{Distance}{Time}\\s=\frac{d}{t}\\100 miles/hr=\frac{\frac{60.5}{5280}miles}{t}\\t=\frac{60.5}{5280}miles\times \frac{1}{100 miles/hr}\\= 0.000114583 hr$

In an hour there are 3600 seconds, then in 0.000114583 hours will be:

$1 hour=3600 seconds\\=0.000114583 \times 3600=0.4124988 s\approx 0.4 s$

It will take 0.4 seconds to get to the home plate.

Learn more about conversions here:

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brainly.com/question/17743460

5 0

3 years ago

Cosa/2-tana +sina/1-cota=cosa+sina

Inessa05 [86]

Answer:

Cosa/2-tana+sina

Step-by-step explanation:

Cosatana

7 0

2 years ago

Consider a t distribution with 7 degrees of freedom. Compute P(-1.29 < t < 1.29). Round your answer to at least three deci

ss7ja [257]

Answer:

a) 0.76197086

b) -1.73406361

Step-by-step explanation:

Consider a t distribution with 7 degrees of freedom. Compute P(-1.29 < t < 1.29)

P(-1.29 < t < 1.29) would be the area under the t distribution curve with 7 degrees of freedom between -1.29 and 1.29, that is in the interval (-1.29, 1.29).

This can be done the old style by looking up in a table or by using the technology with a spreadsheet.

In Excel, the function TDIST(x,n,2) with x>0 gives the area outside the interval (-x, x) of the t distribution with n degrees of freedom.

So TDIST(1.29,7,2) gives the area outside (-1.29, 1.29).

If we subtract this value from 1 we get the desired result

Hence

P(-1.29 < t < 1.29) = 1 - TDIST(1.29,7,2) = 1 - 0.23802914 = 0.76197086

In OpenOffice Calc, the function is the same replacing “,” with “;”

That is

P(-1.29 < t < 1.29) = 1 - TDIST(1.29;7;2) = 0.76197086

Consider a t distribution with 18 degrees of freedom. Find the value of c such that P(t≤ c) = 0.05

We are looking for a point c such that the area of the t distribution with 18 degrees of freedom to the left of c is 0.05

In Excel, the inverse function of TDIST is TINV.

TINV(p*2,n) with p>0 gives the point c such that the area of the t distribution with n degrees of freedom to the right of c is p.

Since the t distribution is symmetric with respect to 0, -c would be a point such that the area to the left of -c is p.

So we want to compute in Excel

-TINV(0.05*2,18) = -1.73406361

In OpenOffice Calc

-TINV(0.05*2;18) = -1.73406361

3 0

3 years ago

a boy walks along at a constant speed of 3 meters per second for 1 minute. how far does he travel during this time?

Nadusha1986 [10]

The boy walks at a constant speed V=3 m/s where V is his velocity
1 minutes has 60 seconds
Thus we conclude during 1 minute he travels :
60 seconds × 3 meters/second = 180 meters

5 0

3 years ago