All categories

2 years ago

If DF = 9x - 39, find EF

Mathematics

1 answer:

andrezito [222]2 years ago

8 0

Answer:

EF = 58 units

Step-by-step explanation:

Given:

DF = 9x - 39

DE = 47

EF = 3x + 10

Find:

Computation:

DF = DE + EF

9x - 39 = 47 + 3x + 10

9x - 3x = 47 + 39 + 10

6x = 96

x = 16

EF = 3x + 10

EF = 3(16) + 10

EF = 58 units

You might be interested in

Mustafa, Heloise, and Gia have written more than a combined total of 222222 articles for the school newspaper. Heloise has writt

baherus [9]

Answer:

The Inequality For determining number of equation written by Mustafa for school paper is $x+\frac{1}{4}x+ \frac{3}{2}x\geq 22$ .

Mustafa has written more than 8 articles.

Step-by-step explanation:

Given:

Combined Total Number of articles = 22

Let the number of articles written by Mustafa be 'x'.

Now Given:

Heloise has written $\frac{1}{4}$ as many articles as Mustafa has.

Number of article written by Heloise = $\frac{1}{4}x$

Gia has written $\frac{3}{2}$ as many articles as Mustafa has.

Number of article written by Gia = $\frac{3}{2}x$

Now we know that;

The sum of number of articles written by Mustafa and Number of article written by Heloise and Number of article written by Gia is greater than or equal to Combined Total Number of articles.

framing in equation form we get;

$x+\frac{1}{4}x+ \frac{3}{2}x\geq 22$

Hence the Inequality For determining number of equation written by Mustafa for school paper is $x+\frac{1}{4}x+ \frac{3}{2}x\geq 22$ .

Now Solving the Inequality we get;

Taking LCM for making the denominator common we get:

$\frac{x\times 4}{4}+\frac{1\times1}{4\times1}x+ \frac{3\times2}{2\times2}x\geq 22\\\\\frac{4x}{4}+ \frac{x}{4}+\frac{6x}{4}\geq 22\\\\\frac{4x+x+6x}{4} \geq 22\\\\11x\geq 22\times4\\\\11x\geq 88\\\\x\geq \frac{88}{11} \\\\x\geq 8$

Hence Mustafa has written more than 8 articles.

5 0

2 years ago

Need help In number 3

Sladkaya [172]

D. 15cm, 17cm, 19cm
All values increase by a scale factor of 10.
f(x)= x+10

7 0

3 years ago

A walking trail through a forest preserve is 34,215 meters in length .What is length in kilometers of the trail ?

Alika [10]

34.215 kilometers you move the decimal to the left three places because Kilo means 1000 and there are 3 zeros in 1000. you move left because Kilometer is bigger than meter.

4 0

3 years ago

Read 2 more answers

(HELP PLEASE) if f(x)=x/3-2 and g(x)=3x^2+2x-6 , find (f+g)(x)

lukranit [14]

Identify and sum up the x^2 terms: Result: 3x^2
Next, ident. and sum up the x terms: Result: (1/3 + 2) = (7/3)x
Last, ident. and sum up the const. terms: Result: -2 - 6 = -8

The sum of these two functions is 3x^2 + (7/3)x - 8.

8 0

2 years ago

Read 2 more answers

What is the solution set of the given system?

AVprozaik [17]

What is the system? (Is there supposed to be an image?)

3 0

3 years ago