Solve -33 < 12x + 15 99.

Mya was given the following reduction of a rectangle.

rusak2 [61]

Answer:

Mya only used the dimensions from the scale drawing of a rectangle

Step-by-step explanation:

A

5 0

3 years ago

Read 2 more answers

Solve 5x^2 + 16 = 10 by using the quadratic formula ax^2 + bx + c = 0

bagirrra123 [75]

2 Imaginary Solutions

5 0

3 years ago

I really need a quick answer! What is 8y + 12?

astra-53 [7]

Answer:

24

Step-by-step explanation:

To figure out what the value of y is, we must isolate the variable. To do this, we need to use the division property of equality which says that when you divide on one side of the equal sign, you must also divide on the other side.

8y/8 = y

12/8 = 1.5

This tells us the value of y, so next we have to apply this into the problem

8(1.5) = 12

12 + 12 = 24

24 is your answer

8 0

3 years ago

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Find the number of terms, n, in the arithmetic series whose first term is 13, the common difference is 7, and the sum is 2613.

siniylev [52]

Answer:

A

Step-by-step explanation:

Recall that the sum of an arithmetic series is given by:

$\displaystyle S = \frac{n}{2}\left(a + x_n\right)$

Where n is the number of terms, a is the first term, and x_n is the last term.

We know that the initial term a is 13, the common difference is 7, and the total sum is 2613. Since we want to find the number of terms, we want to find n.

First, find the last term. Recall that the direct formula for an arithmetic sequence is given by:

$x_n=a+d(n-1)$

Since the initial term is 13 and the common difference is 7:

$x_n=13+7(n-1)$

Substitute:

$\displaystyle S = \frac{n}{2}\left(a + (13+7(n-1)\right)$

We are given that the initial term is 13 and the sum is 2613. Substitute:

$\displaystyle (2613)=\frac{n}{2}((13)+(13+7(n-1)))$

Solve for n. Multiply both sides by two and combine like terms:

$5226 = n(26+7(n-1))$

Distribute:

$5226 = n (26+7n-7)$

Simplify:

$5226 = 7n^2+19n$

Isolate the equation:

$7n^2+19n-5226=0$

We can use the quadratic formula:

$\displaystyle x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}$

In this case, a = 7, b = 19, and c = -5226. Substitute:

$\displaystyle x =\frac{-(19)\pm\sqrt{(19)^2-4(7)(-5226)}}{2(7)}$

Evaluate:

$\displaystyle x = \frac{-19\pm\sqrt{146689}}{14} = \frac{-19\pm 383}{14}$

Evaluate for each case:

$\displaystyle x _ 1 = \frac{-19+383}{14} = 26\text{ or } x _ 2 = \frac{-19-383}{14}=-\frac{201}{7}$

We can ignore the second solution since it is negative and non-natural.

Therefore, there are 26 terms in the arithmetic series.

Our answer is A.

6 0

2 years ago

Which property is shown in the problem below?

Studentka2010 [4]

Answer:

Step-by-step explanation:

-8 (x - 3y - 9) = distribute the -8 through the parenthesis

-8(x) - 8(-3y) - 8(-9) =

-8x + 24y + 72

this is the distributive property....u are distributing the -8 through the parenthesis...what that means is ur multiplying -8 by everything in the parenthesis....you do this to remove the parenthesis

7 0

3 years ago