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3 years ago

The sum of two numbers 94. their diffirence is 12

2 answers:

8 0

Pretty easy my friend, consider the two numbers we want x and y

x + y = 94
x - y = 12

Now you solve the system

x = 94 - y
94 - y - y = 12

x = 94 - y
94 - 2y = 12

x = 94 - y
- 2y = 12 - 94

x = 94 - y
- 2y = - 82

x = 94 - y
2y = 82

x = 94 - y
y = 41

x = 94 - 41
y = 41

x = 53
y = 41

Soloha48 [4]3 years ago

5 0

Lets denote the numbers x and y:

The sum of two numbers 94 → x + y = 94

Their difference is 12 → x - y = 12

We have:

x + y = 94

x - y = 12

---------------- Add both equations

2x = 106

x = 106/2

x = 53

Using first equation:

x + y = 94

53 + y = 94

y = 94 - 53

y = 41

A/ The numbers are 53 and 41.

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1. Storing milk at temperatures colder than 35°F can affect its quality of taste. However, storing milk at temperatures warmer t

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Answer:

Part (A): The required inequality is T < 35 or t >40.

Part (B): The correct option is C) Only x=7.

Part (C) |x+1|+5=2 has no solution; |4x+12|=0 has one solution; |3x|=9 has two solution.

Step-by-step explanation:

Consider the provided information.

Part (A)

Storing milk at temperatures colder than 35°F can affect its quality of taste. However, storing milk at temperatures warmer than 40°F is an unsafe food practice.

The union is written as A∪B or “A or B”.

The intersection of two sets is written as A∩B or “A and B”

We need to determine the inequalities represent the union of these improper storage.

That means we will use A∪B or “A or B”.

The improper storage temperatures is when temperature is less than 35°F or greater than 40°F.

Hence, the required inequality is T < 35 or t >40.

Part (B) 15| x-7|+4=10|x-7|+4

Solve the inequality as shown below:

Subtract 4 from both sides.

$15| x-7|+4-4=10|x-7|+4-4$

Subtract 10|x-7| from both sides

$5\left|x-7\right|=0\\\left|x-7\right|=0\\x=7$

Hence, the correct option is C) Only x=7.

Part (C) Match the solution,

$\left|x+1\right|+5=2$

Subtract 2 from both sides.

$\left|x+1\right|=-3$

Absolute value cannot be less than 0.

Hence, |x+1|+5=2 has no solution.

$|4x+12|=0$

$4x+12=0$

$x=-3$

Hence, |4x+12|=0 has one solution.

$|3x|=9$

$\mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a$

$3x=-9\quad \mathrm{or}\quad \:3x=9\\x=-3\quad \mathrm{or}\quad \:x=3$

Hence, |3x|=9 has two solution.

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A tractor trailer averages 6 miles per gallon fuel consumption. If the truck can hold 150 gallons of fuel, how many miles could

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Answer:

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Step-by-step explanation:

Data

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Process

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