Which expression are equivalent 10

Can someone pls pls pls pls pls pls answer these question

choli [55]

The answer is x=89/9

4 0

3 years ago

Simplify 3/4(1/2*-12)+4/5

Lyrx [107]

The exact form is:
-37/10

The decimal for is:
-3.7

The mixed number for is:
-3 7/10

7 0

3 years ago

When the sum of \, 528 \, and three times a positive number is subtracted from the square of the number, the result is \, 120. F

aleksandr82 [10.1K]

Let $x$ be the unknown number. So, three times that number means $3x$ , and the square of the number is $x^2$

We have to sum 528 and three times the number, so we have $528+3x$

Then, we have to subtract this number from $x^2$ , so we have

$x^2-(3x+528)$

The result is 120, so the equation is

$x^2 - 3x - 528 = 120 \iff x^2 - 3x - 648 = 0$

This is a quadratic equation, i.e. an equation like $ax^2+bx+c=0$ . These equation can be solved - assuming they have a solution - with the following formula

$x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

If you plug the values from your equation, you have

$x_{1,2} = \dfrac{3\pm\sqrt{9-4\cdot(-648)}}{2} = \dfrac{3\pm\sqrt{9+2592}}{2} = \dfrac{3\pm\sqrt{2601}}{2} = \dfrac{3\pm51}{2}$

So, the two solutions would be

$x = \dfrac{3+51}{2} = \dfrac{54}{2} = 27$

$x = \dfrac{3-51}{2} = \dfrac{-48}{2} = -24$

But we know that x is positive, so we only accept the solution $x = 27$

6 0

3 years ago

Find the slope of the line shown on the graph to the right

katrin2010 [14]

Answer:

it is 5/5, or if that doesn't work its 1 just in case you need to simplify

Step-by-step explanation:

from the first point, count how many squares go up, the count how many squares to the right, so up 5 over 5

3 0

2 years ago

can some one explain to me how fractions work who ever explains it well gets brainliest, adding, subtracting, multiplying, divid

Ludmilka [50]

Adding: When adding fractions, you want to make sure that the denominator is the same for both fractions. If they are already the same, just add both the numerators to get the answer. For example,
$\frac{3 }{5} + \frac{1}{5} = \frac{4}{5}$
If the denominator is different in both fractions, you have to find the least common denominator, or LCD. The LCD is the smallest number that both denominators can multiply into. For example, say you need to find
$\frac{1}{6} + \frac{1}{3}$

Multiply both the numerator and the denominator of (1/3) by 2 to get (2/6). This way, the denominators are the same and you can find the answer.
$\frac{1}{6} + \frac{2}{6} = \frac{3}{6}$
In the case that one denominator does not go into the other, find the smallest number they both multiply into. For example,
$\frac{1}{3 } + \frac{1}{4}$
Here, the smallest number that both 4 and 3 multiply into is 12. Multiply both fractions by the correct amount to make both denominators 12. It would then become
$\frac{4}{12} + \frac{3}{12} = \frac{7}{12}$
Subtraction: follow the same rules as addition, except subtract the numerators instead of adding them.

Multiplication: multiply both numerators and both denominators.
$\frac{2}{3} \times \frac{4}{5} = \frac{8}{15}$
Division: Flip one of the fractions and multiply.
$\frac{2}{3} \div \frac{4}{5}$
Becomes
$\frac{2}{3} \times \frac{5}{4} = \frac{10}{12} = \frac{5}{6}$
Hope this explains it all. Let me know if you have any questions :)

4 0

3 years ago