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4 years ago

6 eggs were bought at a supermarket

Mathematics

1 answer:

MrRissso [65]4 years ago

3 0

Answer:

35$

Step-by-step explanation:

1. 240-30= 210

2. 210/6 = 35

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Detective Pi has 5 1/5 quarts of orange juice. She likes to have 2/5 of a quart every morning for breakfast. How many mornings c

Andreas93 [3]

$5 \frac{1}{5} \div \frac{2}{5} = \frac{26}{5} \div \frac{2}{5} = \frac{130}{10} = 13$
13 mornings

5 0

3 years ago

A man was traveling by air is allowed a maximum of 20kg luggages .The man has four bags weighing 3.5kg ,15 kg ,2kg and 1.5kg .Fi

KatRina [158]

Answer:

See explanation

Step-by-step explanation:

Maximum weight = 20 kg

Bag 1 = 3.5kg

Bag 2 = 15 kg

Bag 3 = 2kg

Bag 4 = 1.5kg

Total weight of bags = 22 kg

Excess weight of his luggage = Total weight of bags - Maximum weight

= 22 kg - 20 kg

= 2 kg

Express the excess weight as a percentage of his maximum weight allowed = excess weight / maximum weight × 100

= 2/20 × 100

= 0.1 × 100

= 10%

Express the excess weight as a percentage of his maximum weight allowed = 10%

5 0

3 years ago

Write an equation that represents three less than eight times a number is 17.

Alex73 [517]

Answer:

8x-3=17

Step-by-step explanation:

The term “less than” indicates that the 8x comes first in the equation because you’re taking 3 away from it

3 0

3 years ago

Find the critical point of the given function and then determine whether it is a local maximum, local minimum, or saddle point.

34kurt

Answer:

critical point of the given function f(x,y) = x²+y²+2xy is from line y = -x is the critical point of the function f(x0,y0) = 0

and it local minimum.

Step-by-step explanation:

Let the given function be;

f(x,y) = x²+y²+2xy

From above function, we can locate relative minima, maxima and the saddle point

f(x,y) = x²+y²+2xy = (x+y)²

df/dx = 2x+2y = 0 ---- (1)

df/dy =2y+2x = 0 ---- (2)

From eqn 1 and 2 above,

The arbitrary point (x0,y0) from line y = -x is the critical point of the function f(x0,y0) = 0

Then, from f(x,y) >= 0 for arbitrary (x,y) € R^n, the arbitrary point from the line x = -y is local minima of the function f.

8 0

4 years ago

Vector upper a overscript right-arrow endscripts has a magnitude of 69 units and points due west, while vector upper b overscrip

Tom [10]

Refer to the figure below.

Define unit vectors as follows:
$\hat{i}$ in the eastern direction
$\hat{j}$ in the northern direction

Given:
Vectors a and b point due west and south respectively. Therefore
$\vec{a} = -69 \ht{i} \\
\vec{b} = -69\hat{j}$

Part (a)
$\vec{a}+\vec{b}=-69\hat{i}-69\hat{j}=-69(\hat{i}+\hat{j})$
The magnitude is
|-69(√[1² + 1²])| = 69√2 = 97.58.
The direction relative to west is
θ = tan⁻¹ (b/a) = tan⁻¹ 1 = 45° south of west

Answer:
The magnitude of (a + b) is 97.58 or 69√2.
The direction is 45° south of west.

Part (b).
$\vec{a} - \vec{b} = -69\hat{i}+69\hat{j}=-69(\hat{i} -\hat{j})$
The magnitude is
|69(√(1+1)| = 69√2 = 97.58.
The direction relative to west is
tan⁻¹ (b/a) = 45° north of west.

Answer:
The magnitude of (a-b) is 97.58 or 69√2.
The direction is 45° north of west.

7 0

3 years ago