X+y=275<br> 75 + 50 = 200

What is another way to write the equation 7/8 x+ 3/4 = -6

Answer:

1) 7(x/8) + 3/4 = -6

Step-by-step explanation:

The term (7/8)x can be written as 7(x/8).

_____

The associative and commutative properties of multiplication let you put the factors (7)(1/8)(x) in any order or grouping you like.

Here, instead of (7·1/8)·x, the question is offering the rewrite 7(1/8·x), a straightforward application of the associative property.

7 0

3 years ago

The mean temperature for the first 4 days in January was 8°C. The mean temperature for the first 5 days in January was 7°C. What

mote1985 [20]

Answer:

The temperature of the 5th day was 3°C

Step-by-step explanation:

Mean temperature of the first 4 days = 8°C

Note that:

Mean = Sum of temperatures ÷ number of days

∴ 8 = sum of temperature ÷ 4

$= 8 = \frac{sum\ of\ temperatures}{4}$

$= sum\ of\ temperatures\ = 8\ \times\ 4 = 32$

Therefore the sum of the first 4 days = 32

Let the temperature of the next day (the fifth day) be m

Hence,

sum of the temperatures of first 5 days = 32 + m - - - - (1)

Next, the sum of the first 5 days can be calculated from the given average of the first 5 days as follows:

Mean temperature of the first 5 days = 7

$Mean = \frac{sum\ of\ temperatures}{number \ of\ days}\\\\7 = \frac{sum\ of\ temperatures}{5} \\sum\ of\ temperatures\ = \ 7\ \times\ 5\ = 35\\sum\ of\ temperature\ of\ the\ first\ 5\ days\ =\ 35 - - - - - (2)$

Now, you will notice that equation (1) = equation (2)

∴ 32 + m = 35

m = 35 - 32 = 3

therefore, the temperature of the 5th day was 3°C

4 0

3 years ago

Help with these questions please!

Alisiya [41]

Answer:

1. 16

2. -4

Step-by-step explanation:

First factor the expression

lim x→1 (x^3 + 5x^2 + 3x-9)/(x-1)

lim x→1 (x-1) (x+3)^2/(x-1)

Canceling the x-1 in the top and bottom

lim x→1 (x+3)^2

Let x=1

lim x→1 (1+3)^2 = 4^2 = 16

2. lim x→0 (x^2 -6x+8) /(x-2)

First factor the expression

lim x→0 (x-4) (x-2) /(x-2)

Canceling the x-2 in the top and bottom

lim x→0 (x-4)

Let x=0

lim x→0 (0-4) = -4

Filling in the table

x -.1 -.01 -.001 .001 .01 .1

f(x) -4.1 -4.01 -4.001 -3.999 -3.99 -3.9

4 0

3 years ago

Read 2 more answers

Round 5,836,197 to the nearest hundred

Nataly [62]

Answer:

5836200

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Find "both" answers

Eva8 [605]

Answer:

Please check the explanation!

Step-by-step explanation:

Finding the slope:

Taking two points to find the slope of the linear function

(2, 10)

(3, 13)

Slope = m = y₂-y₁ / x₂-x₁

= (13-10) / (3-2)

= 3 / 1

= 3

Thus, the slope = m = 3

Finding the common difference between consecutive terms of the arithmetic sequence

Given the sequence

10, 13, 16, 19

d = 13-10=3, d=16-13=3, d=19-16=3

Thus, the common difference between consecutive terms of the arithmetic sequence is:

d = 3

Finding the difference between the terms a₂ and a₄

a₂ = 13

a₄ = 19

The common difference between a₂ and a₄ = 19 - 13

= 6

Thus, the common difference between a₂ and a₄ = 6

Find the common difference of the Arithmetic Sequence

Given the sequence

10, 13, 16, 19

d = 13-10=3, d=16-13=3, d=19-16=3

As the common difference between all the adjacent terms is the same. Thus, the common difference of the Arithmetic will be: d = 3

<u>RESULT </u>

From the above calculations, we conclude that:

Slope = 3

The common difference between consecutive terms of the arithmetic sequence = 3

The difference between the terms a₂ and a₄ = 6

The common difference of the Arithmetic Sequence = 6

Thus,

The answer to the ''different'' question is: 6

The answer to the ''same'' three questions: 3

8 0

3 years ago

X+y=275 75 + 50 = 200