MATHEMATICS HIGH SCHOOL

Mr. juan is three times old as his son eric. sum of their ages is 64. how old are they?

Answers

Answer 1

Answer:

Answer:

Mr Juan is 48 years old and Eric is 16 years old

Step-by-step explanation:

let Eric's age be x, then his father is 3x ( three times as old as Eric )

the sum of their ages is 64 , that is

x + 3x = 64 ( simplify left side )

4x = 64 ( divide both sides by 4 )

$(4)/(4)$ x = $(64)/(4)$ , that is

x = 16

and 3x = 3 × 16 = 48

Mr Juan is 48 and Eric is 16

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The length of a rectangle is 7 mm longer than its width. Its perimeter is more than 62 mm. Let w equal the width of the rectangle. Write an expression for the length in terms of the width.Use these expressions to write an inequality based on the given information. Solve the inequality, clearly indicating the width of the rectangle

(2Q) Simply the expression.

Answers

ANSWER

$(1)/(7)$

EXPLANATION

We want to simplify

${10}^{ log( (1)/(7) ) }$

Recall that the common logarithm has a base of 10.

This implies that,

${10}^{ log( (1)/(7) ) } = {10}^{ log_(10)( (1)/(7) ) }$

Recall again that:

${p}^{ log_(p)(q) } = q$

Therefore,

${10}^{ log( (1)/(7) ) } = {10}^{ log_(10)( (1)/(7) ) } = (1)/(7)$

Answer:

no simplify. answer is:

b. log(1/7)

Which of the following is a solution for 5 - 2x ≤ -3?A. -4
B. 4
C. 1
D. -1

Answers

Answer: B

It's X $\geq$ 4

PLEASE ANSWER ASAP!!! YOUR ANSWER MUST INCLUDE AN EXPLANATION IN ORDER TO RECEIVE POINTS AND THE BRAINLIEST ANSWER! THANKS!!!

Answers

Solutions

29 $\pi$ / 18 Radians = 29 x $\pi$ / 18

Replace $\pi$ with 180

Now we have

29 x 180 / 18

29 x 180 = 5220

5220 / 18

= 290°

$\sf\ (29\pi)/(18)radians\n\n\nTo\ convert\ to\ degrees\ replace\ \pi\ with\ 180.\n\n\n (29*180)/(18)=\n\n (5220)/(18)=\n\n {\boxed{\sf\ 290\º}$

From 12 prepared songs, a bandchooses 3 to perform on a TV show. One
song will be played at the beginning of
the show, one in the middle, and one at
the end. Tell how many different set lists
are possible. Then tell if the situation
involves permutations or combinations.

Answers

Answer:

1320 different set lists are possible

Step-by-step explanation:

We have a set of 12 elements (12 songs)

There can be NO songs repeatedly

The order of the songs is important because One song will be played at the beginning of the show, one in the middle, and one at the end.

So as the order of selection is important we must use permutations.

The formula for permutations is:

$nPr=(n!)/((n-r)!)$

where n is the number of items you can choose and choose r from them

In this case we know that:

$n=12$ , $r=3$

Then:

$12P3=(12!)/((12-3)!)$

$12P3=(12!)/(9!)$

$12P3=1320$

Suppose you want to represent a triangle with sides 12 feet, 16 feet, and 18 feet on a drawing where 1 inch = 2 feet. How long should the sides of the triangle be in inches?The sides of the triangle on the drawing should be _____.

Answers

Answer: The sides of the triangle on the drawing should be 6 inches, 8 inches, and 9 inches.

Step-by-step explanation:

Given: A triangle with sides 12 feet, 16 feet, and 18 feet on a drawing where 1 inch = 2 feet.

Then, 1 feet of original triangle = $(1)/(2)$ inch on drawing.

Now, the sides of the triangle on the drawing are:-

12 feet = $(1)/(2)*12=6\text{ inches}$

12 feet = $(1)/(2)*16=8\text{ inches}$

12 feet = $(1)/(2)*18=9\text{ inches}$

Hence, the sides of the triangle on the drawing should be 6 inches, 8 inches, and 9 inches.

the sides of the triangle would be 6 inches, 8 inches, and 9 inches long

Give the final factored form of the expression. Provide an explanation AND identify the type of factoring used.x2 – 9y2
You don't have to identify the type of factoring used, but I need help with the rest, please and thank you.

Answers

$(x^2-9y^2)=\n(x^2-(3y)^2)=\n(x-3y)(x+3y)\n\n(a^2-b^2)=(a-b)(a+b)\n$

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The elevation we call sea level is actually the average level of the sea. This means that at average sea level, the elevation is zero. In reality, the level of the sea rises and falls in what are called tides. Low tide is the point of lowest sea level in a tidal period. High tide is the point of highest sea level in a tidal period. The height above or below average sea level is called elevation. An elevation below sea level is considered a negative value, while an elevation above sea level is positive.Winston lives near the ocean. He regularly brings an altimeter to the beach to measure the elevation of the ocean’s surface. You will use the data Winston gathered to complete tasks about the rising and falling of the ocean’s surface. When necessary, sketch a diagram of the situation on a separate sheet of paper to assist you.On Monday at 1pm, when the ocean’s surface was at an elevation of 2.2 feet, Winston went to a surf shop that was 8.2 feet above the ocean’s surface. At 7 p.m. when the ocean’s surface was at an elevation of -2.4 feet, Winston ate dinner at a restaurant whose deck was 10 feet above the ocean’s surface.What was the net change in the elevation of the ocean’s surface from 1 p.m. to 7 p.m.?

Solve k + 4 - 2k - 24 > 0

What is the answer to 3d+8=2d-17