MATHEMATICS MIDDLE SCHOOL

Three times the difference of a number and 5 is the same as 1 increased by five times the number plus twice the number

Answers

Answer 1

Answer: 3(x-5)=1+(5x+2x)
3x-15=1+7x
-15=1+7x-3x
-15=1+4x
-15-1=1+4x-1
-16=4x
-16/4=4x/4
-4=x

Answer 2

Answer:

Hey there!!

Let's take the number as ' x '

Three times the difference of a number and 5 :

Difference of a number and 5 : x - 5

Three times : 3 ( x - 5 )

This is same as :

1 increased by 5 times the number plus twice the number :

5 times a number : 5x

2 times number a number : 2x

Added : 7x

1 plus the sum : 1 + 7x

Now,

The equation :

$3 ( x - 5 ) = 1 + 7x$

$3x - 15 = 1 + 7x$

$4x = -16$

$x = (-16)/(4)$

$x = -4$

Hence, the number is -4

Hope my answer helps!

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Charles Lindbergh made a first solo airplane flight from New York to Paris. His flight covered about 3610 miles in 33.5 hours.a.) find the unit rate in miles per hour
b.) find the unit rate in hours per mile
c.) which is a better description of Lindbergh's rate about 2 miles per minute or about 2 mph? Explain your reasoning.

Answers

The unit rate is 107.76 miles per hour.

The unit rate is 0.009 hours per mile.

A better description of Lindbergh's rate is about 2 miles per minute is 67 miles.

Given that

Charles Lindbergh made their first solo airplane flight from New York to Paris.

The flight covered about 3610 miles in 33.5 hours.

According to the question

1. The unit rate in miles per hour is,

$\rm Unit \ Rate = (Distance)/(Time)\n\nUnit \ rate = (3610)/(33.5)\n\nUnit \ rate = 107.76 \ miles \ per \ hour$

The unit rate is 107.76 miles per hour.

2. The unit rate in hours per mile is,

$\rm Unit \ Rate = (Time)/(Distance)\n\nUnit \ rate = (33.5)/(3610)\n\nUnit \ rate = 0.009 \ hour \ per \ miles$

The unit rate is 0.009 hours per mile.

3. The better description of Lindbergh's rate about 2 miles per minute or about 2 mph is,

$\rm = 33.5 * 2\n\n= 67 \ miles$

A better description of Lindbergh's rate is about 2 miles per minute is 67 miles.

To know more about Equation click the link given below.

brainly.com/question/11497825

a) 107.7mph This is solved by dividing the distance by the time to see how many miles are covered over that time. 3610 divided by 33.5 = 107.7 (1st decimal place)
b)0.009 This is done by doing the opposite. 33.6 divided by 3610
c)2mpm because 2mph would mean he only covered 67 miles.

A spinner and 4 cards are shown below: A spinner with 5 equal sectors is shown in the figure. The colors Green, Blue, Purple, Yellow, and Red are marked on it. The arrow points at the purple color. Four cards are shown on the right side. The colors Red, Yellow, Blue, and Pink are marked on them. Jane spins the spinner and selects a card without looking. What is the probability that the spinner stops at purple and a pink card is selected? 1 over 20 1 over 5 1 over 4 9 over 20

Answers

The probability that the spinner stops at purple and a pink card is selected is 1/20

How to determine the probability?

The given parameters are:

Spinner = {Green, Blue, Purple, Yellow, Red}
Cards = {Red, Yellow, Blue, Pink}

There is 1 purple color on the spinner and 1 pink card in the card.

So, the probability that the spinner stops at purple and a pink card is selected is:

P(Purple and Pink) = 1/5 * 1/4

Evaluate the product

P(Purple and Pink) = 1/20

Hence, the probability that the spinner stops at purple and a pink card is selected is 1/20

Answers

add all the sides together

perimeter= adding all sides together

Area= base x height

Factorise y^2 - 169?????????????

Answers

= y^2 - 169
= (y)^2 - (13)^2
= (y + 2)(y - 2)

Step 1. Rewrite it in the form: $a^(2) - b^(2)$ , where a = y and b = 13

$y^(2) - 13^(2)$

Step 2. Use Difference of Squares: $a^(2) - b^(2) =(a+b)(a-b)$

$(y+13)(y-13)$

Done!

What is the simplest form for 18/39.?

Answers

6/13 is the simplest form

6/13 because 18 and 39 are divisible by 3.

In May, Jim’s lunch account has a balance of $58.19. If lunch costs $2.74 per day, how many days will Jim be able to buy lunch before his account runs out of money?

Answers

Well 58.19 divided by 2.74 will equal 21 and random number after decimal so it will be 21 days

21 days!! :) divide 58.19 by 2.74
happy to answer!!!

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