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2 years ago

A number increased by 19 is the same as 9 less than five times a number

Mathematics

2 answers:

algol132 years ago

7 0

The correct number should be 7

IgorLugansk [536]2 years ago

4 0

Answer:

the number should be 7

Step-by-step explanation:

7 times 5 eqauls 35. 35 minus 9 equals 26. if you add 7 and 19 you get 26.

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2 years ago

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have a great day

3 0

3 years ago

Solve the equation and show all work. 4|x + 1/3| = 20 <br> i'm kind of stuck hhh

34kurt

Absolute value is a function that takes some number and outputs the size of that number, regardless of the sign. By definition, $|x|=x$ if $x\ge0$ , and $|x|=-x$ if $x$ .

For example,

|2| = 2 because the input 2 is positive, so the input is unchanged;
|-3| = -(-3) = 3 because the input -3 is negative, so the sign is switched.

What this means for this problem is that there are two cases to consider:

If $x+\frac13\ge0$ , then $\left|x+\frac13\right|=x+\frac13$ , so that

$4\left(x+\dfrac13\right)=20\implies x+\dfrac13=5\implies\boxed{x=\dfrac{14}3}$

On the other hand, if $x+\frac13$ , then $\left|x+\frac13\right|=-\left(x+\frac13\right)$ , so

$-4\left(x+\dfrac13\right)=20\implies x+\dfrac13=-5\implies\boxed{x=-\dfrac{16}3}$

6 0

3 years ago

A basketball team played 15 games and won 80% of them. If the team expects to play 30 games in all, how many more games must it

Rufina [12.5K]

$\frac{(15 * 0.8) + x}{30} = 0.9$
$12+x=27$
$x=15$

They have alrady won 12 games (80% of 15) and need to win 15 more.

Check:
$\frac{15+12}{30}=\frac{27}{30} = 90\%$

3 0

2 years ago