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3 years ago

4(5 + 2x) -5 = 3(3x + 7)

Mathematics

1 answer:

Pie3 years ago

5 0

Answer:

x = -1

Step-by-step explanation:

The first step is get rid of the numbers outside this (). So we will get

20+8x=9x+21 (multiplication) And we can get rid of one side of x by subtract 8x on both sides, an then we will get 20= x+21

And we can move the numbers to one side by subtract 21 on each side, and we will get -1=x

And rewrite it:

x = -1

That's the answer.

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Answer:

2 5 7

Step-by-step explanation:

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2 years ago

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Molodets [167]

Answer:

40%

Step-by-step explanation:

2/5x100%=40%

7 0

3 years ago

Read 2 more answers

Suppose we want to choose 5 letters, without replacement, from 9 distinct letters. (If necessary, consult a list of formulas.) (

lara [203]

Answer:

A.This is the number of combinations of 6 from 15

= 15C6

= 15! / (15-6)! 6!

= 5,005 ways.

B. This is the number of permutaions of 6 from 15:

= 15! / (15-6)!

= 3,603,600 ways.

Step-by-step explanation:

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brainly.com/question/15145413

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3 years ago

Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 sam

tigry1 [53]

Answer:

$P(A) = \frac{30}{100}$

$P(B) = \frac{77}{100}$

$P(A\ n\ B) = \frac{22}{100}$

$P(A\ u\ B) = \frac{85}{100}$

Step-by-step explanation:

Given

See attachment for proper format of table

$n = 100$ --- Sample

A = Supplier 1

B = Conforms to specification

Solving (a): P(A)

Here, we only consider data in sample 1 row.

In this row:

$Yes = 22$ and $No = 8$

So, we have:

$n(A) = Yes + No$

$n(A) = 22 + 8$

$n(A) = 30$

P(A) is then calculated as:

$P(A) = \frac{n(A)}{Sample}$

$P(A) = \frac{30}{100}$

Solving (b): P(B)

Here, we only consider data in the Yes column.

In this column:

$(1) = 22$ $(2) = 25$ and $(3) = 30$

So, we have:

$n(B) = (1) + (2) + (3)$

$n(B) = 22 + 25 + 30$

$n(B) = 77$

P(B) is then calculated as:

$P(B) = \frac{n(B)}{Sample}$

$P(B) = \frac{77}{100}$

Solving (c): P(A n B)

Here, we only consider the similar cell in the yes column and sample 1 row.

This cell is: [Supplier 1][Yes]

And it is represented with; n(A n B)

So, we have:

$n(A\ n\ B) = 22$

The probability is then calculated as:

$P(A\ n\ B) = \frac{n(A\ n\ B)}{Sample}$

$P(A\ n\ B) = \frac{22}{100}$

Solving (d): P(A u B)

This is calculated as:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$

This gives:

$P(A\ u\ B) = \frac{30}{100} + \frac{77}{100} - \frac{22}{100}$

Take LCM

$P(A\ u\ B) = \frac{30+77-22}{100}$

$P(A\ u\ B) = \frac{85}{100}$

8 0

3 years ago

Adele opens an account with $100 and deposits $35 a month. Kent opens an account with $50 and also deposits $35 a month. Will th

Svetach [21]

Equations:

100 + 35m
50 + 35m

Steps:
100 + 35m = 50 + 35m 

Set the equations equal to each other.
 

100 + 35m = 50 + 35m 
-50 - 50

Subtract 50 from both sides of equation to isolate the variable on one side.

50+35m=35m
 -35m -35m

Subtract 35m from both sides of equation.

50=m

In fifty months, they will have the same amount of money. They will each contain $1850 dollars.

Hope this helps.

7 0

3 years ago