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4 years ago

To make 5 pies,need about 2 pounds of apples.h ow many pounds do you need to make 20 apple pies?

2 answers:

4 0

You can solve this by cross multiplying. Set up two ratios of how many pounds of apples over how many pies.

$\frac{2}{5}$ = $\frac{x}{20}$ Cross-multiply
5x = 2 (20) Multiply
5x = 40 Divide
x = 8

You need 8 pounds of apples to make 20 pies.

ryzh [129]4 years ago

4 0

10 pounds
20 apple pie x 2 pounds=10 pounds

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What is 7/9dividing1/3 a fraction is

Mkey [24]

Answer:

7/9 ÷ 1/3 = 21/9 as simplified as 7/3 in fraction form. 7/9 ÷ 1/3 = 2.3333 in decimal form.

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3 years ago

Pleaseeeee help me. i really need it.

deff fn [24]

comparing the relation given

thus y= -2x +1 to the general equation of a line

where y= mx + c

where m is the gradient and c is the intercept on the y-axis.

from the question, the gradient is -2 and since the line is perpendicular, the gradient is given as

$\frac{ - 1}{m}$

so substituting the value of m in to the equation

$\frac{ - 1}{ - 2}$

$\frac{1}{2}$

as the gradient

equation of line is given by

y - y1 = m( x-x1)

from the question y1= -2 and x1=1

substitute them

y-(-2) = 1/2 (x -1)

y+2 =1/2 (x-1)

multiplying through by 2

2 (y+2) = x-1

2y +4 = x-1

2y =x-1-4

2y =x-5

x -2y -5 = 0

therefore the equation for the line is x-2y -5=0

7 0

3 years ago

A submarine dives below the surface, heading downward in two moves. If each move downward was 355 feet, where is the submarine a

madam [21]

Answer: The submarine would be 710 feet below the surface after it is finished diving.

Step-by-step explanation:

Given: Each move downward was of 355 feet

If the submarine dives below the surface, heading downward in two moves.

Then, the total distance moved by submarine = 2 (355) feet

= 710 feet

Therefore, the submarine would be 710 feet below the surface after it is finished diving.

4 0

4 years ago

E temperature t of a metal sphere is inversely proportional to the distance from the centre of the sphere (the origin (0, 0, 0))

olasank [31]

(-x, -y, -z) the vector form (x, y, z) to the origin, in the direction of the greatest increase.

<h3>How to calculate temperature?</h3>

The quantity or amount of radiation contained in material or item, as measured by a temperature or sensed by touch and stated on a numerical scale.

The temperature T of a ball bearing is inverse to the length first from the origin, which we consider to be the center of the ball. The temperature at the exact location

(x, y, z) is a point on the sphere, the temperature at this point is given by

$T(x,y,z)= \dfrac{k}{(x^2 +y^2+z^2)^{1/2}}$

Where k is constant, then we have

T(1, 2, 2) = k/3 = 170

k = 510

$T(x,y,z)= \dfrac{510}{(x^2 +y^2+z^2)^{1/2}}$

Then we have

$\rm \triangledown T = \left ( -\dfrac{510x}{(x^2 +y^2+z^2)^{1/2}}, -\dfrac{510y}{(x^2 +y^2+z^2)^{1/2}}, \dfrac{510z}{(x^2 +y^2+z^2)^{1/2}} \right )\\\\\\\triangledown T (1, 2, 2) = -\dfrac{510}{27} (1, 2, 2) =-\dfrac{170}{9} (1, 2, 2)$

Then the direction will be from (1, 2, 2) to (4, 3, 5) will be (3, 1, 3)

So u = (3/√19, 1/√19, 3/√19)

Then we get

$\rm \triangledown T \cdot u = \dfrac{-170}{9}(1, 2, 2) \cdot \left (\dfrac{3}{\sqrt{19}}, \dfrac{1}{\sqrt{19}}, \dfrac{3}{\sqrt{19}} \right )\\\\\\\triangledown T \cdot u = - \dfrac{170}{9\sqrt{19}} (3 + 2 + 6)\\\\\\\triangledown T \cdot u = -\dfrac{1870}{9\sqrt{19}}$

The direction of the greatest inverse in the temperature is given by any vector parallel to and having the same direction $\triangledown$ T. (-x, -y, -z) the vector form (x, y, z) to the origin, in the direction of the greatest increase.