All categories

2 years ago

The sum of two numbers is at most 6, and one of the numbers is -2

Mathematics

2 answers:

WARRIOR [948]2 years ago

3 0

Since one of the numbers is -2, we can determine that the other number is 8

-2 + 8 = 6

Hope this helps

-AaronWiseIsBae

Lisa [10]2 years ago

3 0

Answer:

The number can be anything equal then or less than 8.

Step-by-step explanation:

The sum of two numbers is at most 6 (note, one of the numbers is -2), meaning:

x + (-2) ≤ 6

Isolate the x. Add 2 to both sides

x - 2 (+2) ≤ 6 (+2)

x ≤ 6 + 2

x ≤ 8

The number can be anything equal then or less than 8.

You might be interested in

How is the measure of an arc related to its central angle?

KATRIN_1 [288]

Answer:

Arc Measure: In a circle, the degree measure of an arc is equal to the measure of the central angle that intercepts the arc. Arc Length: In a circle, the length of an arc is a portion of the circumference. The letter "s" is used to represent arc length.

Step-by-step explanation:

4 0

3 years ago

A 2-column table with 5 rows. The first column is labeled x with entries negative 4, negative 1, 0, 2, 3. The second column is l

Elenna [48]

Answer:

f(x)= 1.8x + 1

Step-by-step explanation:

Just got it right on edge :)

7 0

2 years ago

(a) Use the scale to change 40 kilometres to miles.

Nimfa-mama [501]

Answer:

<h2>24.85 miles</h2><h2>40 Km is 24.85 miles</h2>

6 0

2 years ago

Mrs Tan bought 4 times as many pens as notebooks and each notebook cost $8.20 more than each pen. She spent $26 more on the book

lilavasa [31]

Let x be the cost of 1 pen
then cost of 1 notebook = x + 8.20

Let y be the number of pens Tan buys
then number of notebooks Tan buys = y/4

She spent $26 more on books than on pens which means

Cost of notebooks - Cost of pens = 26
(x + 8.20) * y/4 - xy = 26

Sinplifying it

(xy + 8.20y)/4 - xy = 26
(xy + 8.20y - 4xy)/4 = 26
8.20y - 3xy = 104

She spent $394 which means

Cost of notebooks + Cost of pens = 394
(x + 8.20) * y/4 + xy = 394

Simplifying it

(xy + 8.20y)/4 + xy = 394
(xy + 8.20y + 4xy)/4 = 394
8.20y + 5xy = 1576

Now, we have two equations,

(1) 8.20y - 3xy = 104
(2) 8.20y + 5xy = 1576

Now we need to find a third equation with either x or y as the subject of any of both the previous equations.

Let's make y the subject of (2) equation

8.20y + 5xy = 1576
y(8.20 + 5X) = 1576
(3) y = 1576/(8.20 + 5x)

Let's substitute the new value of y from (3) into (1) because we rearranged (2) to from (3)

8.20y - 3xy = 104
y(8.20 - 3x) = 104
y = 104/(8.20 - 3x)
1576/(8.20 + 5x) = 104/(8.20 - 3x)
1576 * (8.20 - 3x) = 104 * (8.20 + 5x)
12923.2 - 4728x = 852.8 + 520x
12923.2 - 852.8 = 4728x + 520x
12070.4 = 5248x
12070.4/5248 = x
x = 2.3

Now find the value of y by substituting the value of x in either equation, preferably (3)

y = 1576/(8.20 + 5x)
y = 1576/(8.20 + 5 * (2.3))
y = 80

Therefore cost of 1 notebook = x + 8.20 = 2.3 + 8.20 = $10.50

8 0

3 years ago

Please help me with this problem! If anybody answers first in this, i will give brainliest to you! Be the first one to answer th

MA_775_DIABLO [31]

Answer:

32 remainder 2

Step-by-step explanation:

To divide 162 by 5, we simply do the following:

5 goes into 16 => 3

Multiply 5 by 3 => 3 × 5 = 15

Subtract 15 from 16 => 16 – 15 = 1

Put the 1 before 2 => 12

5 goes into 12 => 2

Multiply 5 by 2 => 5 × 2 = 10

Subtract 10 from 12 => 12 – 10 => 2

In summary,

162 divided by 5 => 32 remainder 2

Please see attached photo for further details.

4 0

2 years ago