Can someone pls help! is this correct?

PLEASE ANSWER: 3 1/2 + (-7) x (2 2/3 + 1 1/2) = ?

Novay_Z [31]

Answer:

$-\frac{77}{3}$

Step-by-step explanation:

So we have the equation: $3\frac{1}{2} + (-7) * (2\frac{2}{3} + 1\frac{1}{2})$ . and I'm assuming you meant to do mixed fractions and not actually multiplying. 2 * 2/3. So the first thing to do is follow PEMDAS which essentially says Parenthesis first, Exponents next, Multiplication or Division, and then Addition or Subtract. So let's start by evaluating the 2 2/3 and 1 1/2. The first step is to combine 2 into the 2/3 and the 1 into 1/2. This is done by multiplying the 2 by the denominator of 3, and adding it to the numerator so: $2\frac{2}{3} = > \frac{(2*3)+2}{3} = > \frac{8}{3}$ . And you do this for the 1/2 as well: $1\frac{1}{2} = > \frac{(2*1)+1}{2}= > \frac{3}{2}$ .

Now when adding fractions, you can only add them when they have the same denominator, so we have the get 3/2 and 8/3 to have the same denominator. You can list the multiplies of 2 and 3 to try to find a LCM, but in this case, I'll just multiply 2 and 3, since they're really small numbers, also because 6 is the LCM. $\frac{8}{3} * \frac{2}{2} = \frac{16}{6}$ . And now do this to the 3/2 you get: $\frac{3}{2} * \frac{3}{3} = \frac{9}{6}$ . Now the inside of the parenthesis is: $\frac{9}{6} + \frac{16}{6} = \frac{25}{6}$ . So now we have the equation: $3\frac{1}{2} -7 * \frac{25}{6}$ . Also notice how I got ride of the plus sign and made it negative? Think of it as having a 1 in front and simply distributing that to the -7, 1*(-7) becomes -7.

Now to multiply the fraction by a whole number you simply multiply the denominator and numerator, and you can think of the denominator of a whole number as a 1. So this gives you: $\frac{-7}{1} * \frac{25}{6} = \frac{-7 * 25}{1 * 6} = -\frac{175}{6}$ . Now we have the equation: $3\frac{1}{2} - \frac{175}{6}$ . And to subtract these two numbers I'll make the 3 1/2 a fraction by multiplying the 3 by the denominator and adding it to the 1 which should become 7/2. And after that multiply both sides by 3/3 to get 21/6 so they have the same denominator. This gives you the equation: $\frac{21}{6} - \frac{175}{6} = \frac{21-175}{6} = -\frac{154}{6}$ . Which can simplify by dividing both sides by 2 to get: $-\frac{77}{3}$

6 0

2 years ago

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What is the Value of X in the figure below

My name is Ann [436]

the answer will be F x=6 because you have to subtract

5 0

3 years ago

A bank loaned out $17,500, part of it at the rate of 12% annual interest, and the rest at 10% annual interest. The total interes

professor190 [17]

Answer: $9500 was loaned at 12% and $8000 was loaned at 10%

Step-by-step explanation:

Let x represent the amount that the

bank loaned out at the annual rate of 12%.

Let y represent the amount that the

bank loaned out at the annual rate of 10%.

The bank loaned out $17,500, part of it at the rate of 12% annual interest, and the rest at 10% annual interest.. It means that

x + y = 17500

The interest on $x after 1 year would be

12/100 × x = 0.12x

The interest on $y after 1 year would be

10/100 × y = 0.1y

The total interest earned for both loans was $1,940.00. . It means that

0.12x + 0.1y = 1940- - - - - - - - - 1

Substituting x = 17500 - y into equation 1, it becomes

0.12(17500 - y) + 0.1y = 1940

2100 - 0.12y + 0.1y = 1940

- 0.12y + 0.1y = 1940 - 2100

- 0.02y = - 160

y = - 160/ - 0.02

y = 8000

x = 17500 - y = 17500 - 8000

x = $9500

7 0

4 years ago

ACE, GENIUS, TRUSTED HELPERS!!!!!

mariarad [96]

Selection C is appropriate.

_____
Whenever you solve for something, consider what operations are done to that something. Undo them in reverse order.

Here, "a" is
• multiplied by 2
• has -b^2 added

The last operation is adding -b^2, so we undo that first. We undo it by adding its opposite, b^2.
.. x +b^2 = 2a -b^2 +b^2
.. x +b^2 = 2a . . . . . . . . . . . the point is to cancel the -b^2 term on the right.

The operation before that is multiplying "a" by "2". We undo that by multiplying by the reciprocal of 2, which is 1/2.
.. (1/2)*(x +b^2) = (1/2)*2a
.. (x +b^2)/2 = a . . . . . . . . . the point is to cancel the multiplication by 2 on the right.

You will note this matches answer selection C.

3 0

3 years ago

Write an equivalent expression using the Distributive Property.

rusak2 [61]

Answer:

35 + 21 = 7(5 + 3)

Step-by-step explanation:

In this question, we have to write an equivalent expression to the one on the left, while using the distributive property.

Our equation is: 35 + 21 = 7(_ + _), we have to find the missing values.

In the equation, we can see that 7 is divisible to 35 and 21, which means we can simply divide in order to get our missing numbers.

Divide:

35/7 = 5

21/7 = 3

When we plug those values into our equation, it would be:

35 + 21 = 7(5 + 3)

When you use distributive property by distributing the 7 to the number inside the parenthesis, you would get this:

35 + 21 = 35 + 21

When you simplify, you would get the same answer.

56 = 56.

Therefore, your answer would be 35 + 21 = 7(5 + 3)

4 0

3 years ago

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