MATHEMATICS MIDDLE SCHOOL

Solve for x:
log5 (5x – 14) = log5 (8x + 4)

Answers

Answer 1
Answer:

Answer:

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Step-by-step explanation:

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HELP PLEASE!!!!!!!A box contains 4 oranges, 9 apples, and 3 pears. Liliana selects a piece of fruit from the box at random.

What is the probability that she selects an orange or a pear?

Answers

Answer: The probability that she selects an orange or a pear is 7/16.

Step-by-step explanation:

Given number of oranges = 4,

Apples = 9,

Pears = 3,

Total number of fruits = 4 + 9 + 3 = 16,

If she selects a piece of fruit from the box at random,

Then, the probability that she selects an orange or a pear

= The probability of oranges + The probability of oranges

=(^4C_1)/(^(16)C_1)+(^3C_1)/(^(16)C_1)

=(4)/(16)+(3)/(16)

=(7)/(16)

7 out of 16 . so therefore you add the number of oranges and pairs then on the number 16 you just add all pieces of friut

1/2r + 2(3/4r - 1) = 1/4r + 6

Answers

(1)/(2)r+2((3)/(4)r-1)=(1)/(4)r+6\ \ \ \ \ \ \ |omit\ bracket\n\n(1)/(2)r+(3)/(2)r-2=(1)/(4)r+6\ \ \ \ \ \ |\cdot4\n\n2r+6r-8=r+24\ \ \ \ \ \ |combine\ like\ terms\n\n2r+6r-r=24+8\ \ \ \ \ |simplify\n\n7r=32\ \ \ \ \ |:7\n\nr=(32)/(7)=4(4)/(7)
(1)/(2)r+2((3)/(4)r-1)=(1)/(4)r+6\n\n(1)/(2)r+2*(3)/(4)r-2\cdot1=(1)/(4)r+6\n\n(1)/(2)r+(3)/(2)r-2=(1)/(4)r+6\n\n(1+3)/(2)r-2=(1)/(4)r+6\n\n(4)/(2)r-2=(1)/(4)r+6\n\n2r-2=(1)/(4)r+6\ \ \ \ \ \ |add\ 2\ to\ both\ sides\n\n2r=(1)/(4)r+8\ \ \ \ |subtract\ (1)/(4)r\ from\ both\ sides

1(3)/(4)r=8\n\n(1\cdot4+3)/(4)r=8\n\n(7)/(4)r=8\ \ \ \ \ |divide\ both\ sides\ by\ (7)/(4)\ (multiply\ both\ sides\ by\ (4)/(7))\n\nr=8\cdot(4)/(7)\n\nr=(8\cdot4)/(7)\n\nr=(32)/(7)\n\n\boxed{r=4(4)/(7)}

a cube as a volume of 1/512 cubic meter. What is the length of each side of the cube? Explain your thinking

Answers

First, we have to know how to get the volume of a cube.
The volume of a cube is equal to V = s^3.

Given a volume of 1/512, using the formula.
V = s^3
1/512 = s^3
s = cuberoot of 1/512
s = 1/8 meter

Whats 11 + 4 and I need an explanation

Answers

Answer:

11+4=15

Step-by-step explanation:

Lets say you have 11 tacos and you decided to order 4 more tacos. All together, you will now have 15 tacos. So 11+4=15.
The answer to 11+4 would be 15

Simplify: $x(3x^2-2)-5(x^2-2x+7)$. Express your answer in the form $Ax^3+Bx^2+Cx+D.$

Answers

Here’s my answer, I can’t really type it so I took a picture

Answer:

3x^3-5x^2+8x-35

Step-by-step explanation:

At a​ school, 106students play at least one sport. This is 40​% of the students at the school. How many students are at the​ school?

Answers

There are several information's of immense importance already given in the question. It is important to minutely check them before going for solving the problem.
Let us assume the number of students at the school = x
the total number of students playing at least one sports = 106
Percentage of students playing at least one sports = 40%
Then
40% * x = 106
(40/100) * x = 106
4x/10 = 106
4x = 106 * 10
4x = 1060
x = 1060/4
   = 265
So there are 265 students at the school.
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