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3 years ago

The sum of two numbers is 32. The larger is 3 less than 6 times the smaller. What is the larger number?

Mathematics

1 answer:

Mama L [17]3 years ago

5 0

Answer:

Step-by-step explanation:

32=3x-4+x

32=4x-4

+4 +4

36=4x

/4 /4

9=x

Larger #= 3x-4

Larger #= 3(9)-4

Larger #= 27-4

larger #= 23

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Solve the equation, using any method. Be sure to check for extraneous solutions.

hichkok12 [17]

Answer: No real solution.

Step-by-step explanation:

$\frac{2}{(2x+6)}-\frac{2}{x^2+5x+6}=\frac{3}{(x+3)}$

First solve $x^2+5x+6$

$\frac{2}{(2x+6)}-\frac{2}{(x+3)(x+2)}=\frac{3}{(x+3)}$

$\frac{[2(x+3)(x+2)]-[2(2x+6)]}{(2x+6)(x+3)(x+2)} = \frac{3}{(x+3)}$

$\frac{[(2x+6)(x+2)]-(4x-12)}{(2x+6)(x+3)(x+2)} = \frac{3}{(x+3)}$

$\frac{(2x^2+4x+6x+12)-(4x-12)}{(2x+6)(x+3)(x+2)} = \frac{3}{(x+3)}$

$\frac{2x^2+10x+12-4x+12}{(2x+6)(x+3)(x+2)} = \frac{3}{(x+3)}$

$\frac{2x^2+6x+24}{(2x+6)(x+3)(x+2)} = \frac{3}{(x+3)}$

Past this point, we can't solve $2x^2+6x+24$ and obtain real values of x. Therefore, there are no real solutions.

7 0

3 years ago

Write and solve an equation to find the speed that Brian rides his bike, if he rides ⅖ of an hour and travels 3 miles.

GrogVix [38]

It would be 3•2/5 the dot also represents a multiplication simble

6 0

3 years ago

Keiko bought 2 CDs that were each the same price. Including sales tax,she paid a total of $34.20. Of that total, $1.80 was tax.

snow_tiger [21]

Answer:

The cost of each CD without tax us $16.20

Step-by-step explanation:

Given that:

Price to two CDs with tax = $34.20

Tax = $1.80

Cost of CDs without tax = Total cost - Amount of tax

Cost of CDs without tax = 34.20 - 1.80 = $32.40

Price of each CD = $\frac{32.40}{2}$

Price of each CD = $16.20

Hence,

The cost of each CD without tax us $16.20

8 0

3 years ago

Kate's Cupcakes sells cupcakes in boxes of 4. Depending on the type of cupcake, a box can cost at most $20. Let x represent how

ira [324]

Answer:

4×<=20

×<=5

AAAAA single Cupcake can cost at most $5.

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Which of the following values have 2 significant figures? Check all that apply.A. 45 B. 90C. 180D. 22.5

DENIUS [597]

To find the 2 significant figures:

A. 45

Since, there are two non zeros 4 and 5.

Therefore, this has 2 significant figures.

B. 90

Since, it has only one non zero digit 9.

Therefore, it has not 2 significant figures.

C. 180

Since, there are two non zeros 1 and 8.

Therefore, this has 2 significant figures.

D. 22.5

Since, there are three non zeros 2, 2 and 8.

Therefore, this has not 2 significant figures.

Hence, the correct options are A and C.

5 0

1 year ago