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Arte-miy333 [17]
3 years ago
11

$35 to spend cake is $18 balloons are $4

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
3 0

Answer:

he spends $22 and has $13left

Step-by-step explanation:

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Please help, solve for x and n
Vlada [557]

Answer:

1. \boxed{ \bold{ \huge{ \boxed{ \sf{x = 1}}}}}

2. \boxed{ \bold{ \huge{ \boxed{ \sf{n =  - 5}}}}}

Step-by-step explanation:

1. \sf{ \frac{6}{x + 1}  =  \frac{3}{x} }

Do cross multiplication

\dashrightarrow{ \sf{6x = 3(x + 1)}}

Distribute 3 through the parentheses

\dashrightarrow{ \sf{6x = 3x + 3}}

Move 3x to left hand side and change it's sign

\dashrightarrow{ \sf{6x - 3x = 3}}

Collect like terms

\dashrightarrow{ \sf{3x = 3}}

Divide both sides by 3

\dashrightarrow{ \sf{ \frac{3x}{3}  =  \frac{3}{3} }}

Calculate

\dashrightarrow{ \sf{x = 1}}

The value of x is 1

---------------------------------------------------------------------

2. \sf{ \frac{2}{6}  =  \frac{2n + 8}{n - 1}}

Do cross multiplication

\dashrightarrow{ \sf{2(n - 1) = 6(2n + 8)}}

Distribute 2 through the parentheses

Similarly, distribute 6 through the parentheses

\dashrightarrow{ \sf{2n - 2 = 12n + 48}}

Move 12n to left hand side and change it's sign

Similarly, move 48 to right hand side and change it's sign

\dashrightarrow{ \sf{2n - 12n = 48 + 2}}

Collect like terms

\dashrightarrow{ \sf{ - 10n = 48 + 2}}

Add the numbers : 48 and 2

\dashrightarrow{ \sf{ - 10n = 50}}

Divide both sides by -10

\dashrightarrow{ \sf{ \frac{ - 10n}{ - 10}  =  \frac{50}{ - 10} }}

Calculate

\dashrightarrow{ \sf{n =  - 5}}

The value of n is -5 .

Hope I helped!

Best regards! :D

7 0
3 years ago
Is this the correct answer?
garik1379 [7]

Answer:

Yes!

Step-by-step explanatio:

5 0
3 years ago
Landon can climb a certain hill at a rate that is
soldi70 [24.7K]
This doesnt make sence.
8 0
3 years ago
The shorter side of a trapezoid is equal to its height, and the longer side is 3/2 times as long. If the area is 80, find the le
lara31 [8.8K]

Answer:

  8

Step-by-step explanation:

Let s represent the length of the shorter base and height. Then (3/2)s is the length of the longer base.

The area formula for a trapezoid is ...

  A = 1/2(b1 +b2)h

Filling in the given values, we have ...

  80 = (1/2)(s +3/2s)s = 5/4s²

  64 = s² . . . . . . . . . . . . . . . . . . . multiply by 4/5

  8 = s . . . . . . . . . . . . . . . . . . . . . take the square root

The length of the shorter side is 8.

4 0
3 years ago
Choose the equation that represents the solutions of 0 = 0.25x4 - 8x.
Andre45 [30]
The answer is 97 and the other answer is 97 thank you and hope this helps
5 0
3 years ago
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