-4x -8y = -24 y = -5x -6

QUESTION 16 Which of the numbers below are related in the same way as 3259 and 2? A. 5789 and 29 B. 3174 and 6 C. 2749 and 4 D.

dalvyx [7]

Answer:

Option (B)

Step-by-step explanation:

Relation between two numbers 3259 and 2,

3259 → 3 × 2 + 5 - 9 = 2

Now we will check the relation in the given options,

Option (A).

5789 → 5 × 7 + 8 - 9 = 34

Option (B).

3174 → 3 × 1 + 7 - 4 = 6

Option (C).

2749 → 2 × 7 + 4 - 9 = 9

Option (D).

9047 → 9 × 0 + 4 - 7 = -3

Therefore, Option (B) shows the same relation.

4 0

3 years ago

two painters are working together and can paint a house in 3 hours. One painter alone can paint the same house in 8 hours. How m

Katyanochek1 [597]

For this case, the first thing we must do is define a variable.
We have then:
x: number of hours it takes the second painter to paint the house working alone.
We have then that the equation that models the problem is:
$\frac{1}{x} + \frac{1}{8} = \frac{1}{3}$
From here, we clear the value of x.
We have then:
$\frac{8x}{x} + \frac{8x}{8} = \frac{8x}{3}$
$8 + x = \frac{8x}{3}$
$24 + 3x = 8x$
$24 = 8x-3x

24 = 5x

$
$x = \frac{24}{5}$
$x = 4.8
$
Answer:
It would take the second painter to paint the house by himself about 4.8 hours.

3 0

3 years ago

In one month Ansley 15 times as many miles as Jack runs. Altogether, they run 192 miles. How many miles does Ansley run in 1 mon

ollegr [7]

Answer:

180 miles

Step-by-step explanation:

4 0

3 years ago

The data show the average monthly temperatures for two cities over a 6-month period. City 1: {20, 24, 40, 63, 76, 89} City 2: {4

Mrac [35]

Answer:

The MAD of city 2 is less than the MAD for city 1, which means the average monthly temperature of city 2 vary less than the average monthly temperatures for City 1.

Step-by-step explanation:

For comparing the mean absolute deviations of both data sets we have to calculate the mean absolute deviation for both data sets first,

So for city 1:

$Mean = x1 = \frac{20+24+40+63+76+89}{6}$

$x1 = \frac{312}{6}$

$x1 = 52$

Now to calculate the mean deviations mean will be subtracted from each data value. (Note: The minus sign is ignored as the deviation is the distance of value from the mean and it cannot be negative. For this purpose absolute is used)

$20-52 = -32=32\\24-52=-28=28\\40-52=-12=12\\63-52=11\\76-52=24\\89-52=37$

The deviations will be added then. $Mean Absolute Deviation = \frac{32+28+12+11+24+37}{6} \\=\frac{144}{6}\\=24$

So the mean absolute deviation for city 1 is 24 ..

For city 2:

$Mean = x2 = \frac{41+50+58+62+72+83}{6}$

$x2 = \frac{366}{6}$

$x2 = 61$

Now to calculate the mean deviations mean will be subtracted from each data value. (Note: The minus sign is ignored)

$41-61=-20=20\\50-61=-11=11\\58-61=-3=3\\62-61=1\\72-61=11\\83-61=22$

The deviations will be added then. $Mean Absolute Deviation = \frac{20+11+3+1+11+22}{6} \\=\frac{68}{6}\\=11.33$

So the MAD for city 2 is 11.33 ..

So,

The MAD of city 2 is less than the MAD for city 1, which means the average monthly temperature of city 2 vary less than the average monthly temperatures for City 1.

3 0

3 years ago

Read 2 more answers

Vertical Angles, 30 degrees and 3x degrees, what's x?

LenKa [72]

Answer:

10, the default operation in algerbra in math is multiplication, 3 times ___ = 30, the ___ would be 10.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers