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3 years ago

Point W is on line segment V X. Given VW = 4x - 7, V X = 5x + 1, and

Mathematics

2 answers:

fredd [130]3 years ago

6 0

Answer:

$VW=21\ units$

Step-by-step explanation:

we have that

Point W is between point V and point X

Points W,V and X are collinear

$VX=VW+WX$ -----> equation A (by addition segment postulate)

we know

$VX=(5x+1)\ units\\VW=(4x-7)\ units\\WX=3x\ units$

substitute the given values in the equation A and solve for x

$5x+1=(4x-7)+3x$

Combine like terms in the right sides

$5x+1=(7x-7)$

Group terms that contain the same variable

$7x-5x=1+7$

$2x=8$

$x=4$

<em>Find the length of VW</em>

$VW=(4x-7)\ units$

substitute the value of x

$VW=(4(4)-7)=21\ units$

DIA [1.3K]3 years ago

4 0

Answer:9

Step-by-step explanation:

You might be interested in

7 times the number of cookies in the jar plus 5 more from the tray is 54. How many cookies are in the jar?

Digiron [165]

Answer:

The number of cookies in the jar is 7.

If we include the 5 cookies from the tray in the jar the total number of cookies would be 5 + 7 = 12

Step-by-step explanation:

<em>Consider the number of cookies in the jar as 'x'. Hence the equation formed would be:-</em>

7(x) + 5 = 54

7x + 5 = 54

7x = 54 - 5

7x = 49

x = $\frac{49}{7}$

x = 7

The number of cookies in the jar is 7.

If we include the 5 cookies from the tray in the jar the total number of cookies would be 5 + 7 = 12

<em>Hope this helps.</em>

8 0

3 years ago

To rent a uhal truck for the day, it cost 20 dollars per day plus 1 dollar for every mile driven Write an algebraic expression t

valkas [14]

Answer:

The equation is R = 20d + m(1)

Where R is the rental amount in dollars, d is the number of days and m is the number of miles driven

R for 3 days and 1000 miles is $1,060

Step-by-step explanation:

To properly represent the algebraic expression, we need to assign some variables.

Now, let the rental amount be R, the number of miles driven be m and the number of days rented for is d

Thus, we can say that:

R = 20d+ m(1)

Where R is rental amount, m is the number of miles driven and d is the number of days for which the truck was driven.

Now we are asked to calculate rental amount for 3 days and 1000 miles.

R = 20d + m(1)

R = 20(3) + 1000(1)

R = 60 + 1000

R = $1,060

5 0

3 years ago

bacteria colonies can increase by 73% every 2 days. if you start with 150 bacteria microorganisms, how large would the colony be

slavikrds [6]

Using an exponential function, it is found that the colony will have 1344 bacteria after 8 days.

<h3>What is an exponential function?</h3>

An increasing exponential function is modeled by:

$A(t) = A(0)(1 + r)^t$

In which:

A(0) is the initial value.

r is the decay rate, as a decimal.

Considering the initial amount of 150, and the growth rate of 73% each 2 days, the equation is given by:

$A(t) = 150(1.73)^{\frac{t}{2}}$

Hence, after 8 days, the amount of bacteria is given by:

$A(8) = 150(1.73)^{\frac{8}{2}} = 1344$

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

6 0

2 years ago

2x + 11 = 25<br> Solve x <br> I need the working out.

BlackZzzverrR [31]

First to find what’s 2x you do 25-11=14, and you know that 7 x 2 =14.
So x= 7.

4 0

3 years ago

Read 2 more answers

There are 3 white balls, 7 red balls, and 5 green balls in a container. A ball is chosen at random. What is the probability of c

Kisachek [45]

Answer:

(p green) 1/3

(p red) = 1/2

Step-by-step explanation:

Add the number of balls together to get the total.

3 + 7 + 5 = 15

Find the probability of choosing green.

(p green) = 5/15

reduce by 5

(p green) 1/3

Since you kept the green ball, there are now a total of 14 balls.

Find the probability of choosing red.

(p red) = 7/14

reduce by 7

(p red) = 1/2

7 0

2 years ago