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Vika [28.1K]
3 years ago
10

Simplify by using order of operations: 4 + (9∙2) ÷ (4 - 1) - 4

Mathematics
1 answer:
Murljashka [212]3 years ago
7 0

Answer:

4

Step-by-step explanation:

Any expression multiplied by 1 remains the same

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The mean temperature for the first 4 days in January was 1°C.
schepotkina [342]

Answer:

The temperature on the 5th day was of -9ºC.

Step-by-step explanation:

Mean of a data-set

The mean of a data-set is the sum of all values in the data-set divided by the number of values.

The mean temperature for the first 4 days in January was 1°C.

This means that during the first 4 days, the sum of the temperatures was 4*1 = 4ºC.

The mean temperature for the first 5 days in January was -1°C.

First 4 days: Sum of 4º

5th day: Temperature of x.

The mean is -1, so:

-1 = \frac{4 + x}{5}

x + 4 = -5

x = -9

The temperature on the 5th day was of -9ºC.

8 0
3 years ago
If a straight line y = mx + c passes through the intersecting point of 3x - y = 8 and x+ 2y = 5 which is perpendicular to the li
Sindrei [870]

Answer:

Point of intersection:

3x - y = 8 -  -  - (a) \\ x + 2y = 5 -  -  - (b)

2 × equation(b) + equation (a):

7x = 21 \\ x = 3 \\  \\ y = 3x - 8 \\ y = 1

Point of intersection = (3, 1)

Perpendicular line:

3x + 6y - 11 = 0 \\ 6y =  - 3x + 11 \\ y =  -  \frac{1}{2} x +  \frac{11}{6}

General equation of line:

y = mx + c \\ 1 = (2 \times 3) + c \\ c =  - 5

<u>Value</u><u> </u><u>of</u><u> </u><u>m</u><u>:</u>

<u>m \times m {}^{i}  =  - 1 \\ m \times  -  \frac{1}{2}  =  - 1 \\ m = 2</u>

8 0
3 years ago
Help worth 50 points!
Darina [25.2K]

Answer:

x>-2

Step-by-step explanation:

-9x-15<3

+15<+15 add 15 to both sides

_________

-9x<18

÷-9 <÷-9 divide both sides by -9, switch inequality _________ symbol when dividing by negative number.

x>-2 Answer

_________

8 0
3 years ago
If skim milk is 87% water, how many cups of skim milk contain 3.58 cups of water?
Olegator [25]

Step-by-step explanation:

there are 3.48 cups of water in 4 cups of skim milk

hope it helps!

7 0
3 years ago
Read 2 more answers
↔ ↔
MrRissso [65]

Answer:

1. \dfrac{4}{3}

2. y=6x-11

3. 4

Step-by-step explanation:

The equation of the line that passes trough the points A(14,-1) and B(2,1) is

\dfrac{x-14}{2-14}=\dfrac{y-(-1)}{1-(-1)},\\ \\\dfrac{x-14}{-12}=\dfrac{y+1}{2},\\ \\y+1=-\dfrac{1}{6}(x-14),\\ \\y=-\dfrac{1}{6}x+\dfrac{7}{3}-1,\\ \\y=-\dfrac{1}{6}x+\dfrac{4}{3}.

The y-intercept of this line is

y=-\dfrac{1}{6}\cdot 0+\dfrac{4}{3}=\dfrac{4}{3}.

Line BC is perpendicular to line AB, then its slope is 6. Line BC passes through the point B, so

y-1=6(x-2),\\ \\y-1=6x-12,\\ \\y=6x-11.

If the y-coordinate of point C is 13, then x-coordinate is

13=6x-11,\\ \\6x=13+11,\\ \\6x=24,\\ \\x=4.

7 0
4 years ago
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