3. When pasta is cooked, it doubles in weight. When Ms. Morrison finished cooking

A pineaple is 7 times heavy as an orange. The pineaple also weighs 870 grams more than the orange.

Lisa [10]

Answer:

1060 grams

Step-by-step explanation:

let the weight of the orange be x, then

pineapple weighs 7x, and also x + 870

equating the 2 expressions for the weight of the pineapple

7x = x + 870 ( subtract x from both sides )

6x = 870 ( divide both sides by 6 )

x = 145

The orange weighs 145 grams and the pineapple 145 + 870 = 1015 grams

Total weight of both = 145 + 1015 = 1060 grams

3 0

3 years ago

Which number is irrational? А) (1.5)2 B) root of 41 C root of 49 D (15)2

Umnica [9.8K]

Answer:

B

Step-by-step explanation:

A. (1.5)2 = 3 which is rational.

B. Root of 41 cannot be expressed as a fraction of p/q, where p and q are integers and q not equal to 0.

C. Root of 49 = 7 which is rational.

D. 15(2) = 30 which is rational

5 0

3 years ago

The equation x2 16 + y2 9 = 1 defines an ellipse, which is graphed above. in this excercise we will approximate the area of this

Citrus2011 [14]

(a) 4
(b) y = sqrt(9 - (9/16)x^2)
The best guess to the formula using knowledge of the general formula for an ellipse is:
x^2/16 + y^2/9 = 1
(a). An ellipse is reflectively symmetrical across both the major and minor axis. So if you can get the area of the ellipse in a quadrant, then multiplying that area by 4 would give the total area of the ellipse. So the factor of 4 is correct.
(b). The general equation for an ellipse is not suitable for a general function since it returns 2 y values for every x value. But if we restrict ourselves to just the positive value of a square root, that problem is easy to solve. So let's do so:
x^2/16 + y^2/9 = 1
x^2/16 + y^2/9 - 1 = 0
x^2/16 - 1 = - y^2/9
-(9/16)x^2 + 9 = y^2
9 - (9/16)x^2 = y^2
sqrt(9 - (9/16)x^2) = y
y = sqrt(9 - (9/16)x^2)

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

Whats 0.4 as a percentage?

Yanka [14]

.4 as a percentage is 40%

6 0

3 years ago

Read 2 more answers