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3 years ago

The sum of two numbers is 840. One of the numbers is 357. What is the other number?

Mathematics

2 answers:

Ksivusya [100]3 years ago

7 0

We can create a formula first.

X will be the unknown number

840= 357+x
-357 -357

483 = x

Hope this helps

Serjik [45]3 years ago

7 0

Answer:

Step-by-step explanation:

Given

The sum of two number =840

One number =357

First number+second number=840

357+a=840

a=840-357

a=483

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John purchased 1/4 lbs of hamburger for $0.75 how much did the hamburger cost per pound

sattari [20]

there are 4 1/4 per a whole

so multiply 0.75 x 4

0.75 x 4 = 3.00 dollars per pound

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3 years ago

Slope intercept of (2,-12) and (5,6)

nlexa [21]

Answer:

The slope of the line is m=6.

The y-intercept is (0,−24).

The equation of the line in the slope-intercept form is y=6x−24.

Step-by-step explanation:

The slope of the line passing through the two points P=(x1,y1) and Q=(x2,y2) is given by m=y2−y1x2−x1.

We have that x1=2, y1=−12, x2=5, y2=6.

Plug the given values into the formula for the slope: m=(6)−(−12)(5)−(2)=183=6.

Now, the y-intercept is b=y1−m⋅x1 (or b=y2−m⋅x2, the result is the same).

b=−12−(6)⋅(2)=−24.

Finally, the equation of the line can be written in the form y=mx+b.

y=6x−24.

Answer:

The slope of the line is m=6.

The y-intercept is (0,−24).

The equation of the line in the slope-intercept form is y=6x−24.

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3 years ago

Read 2 more answers

Change each of the following points from rectangular coordinates to spherical coordinates and to cylindrical coordinates.

FromTheMoon [43]

Answer and Step-by-step explanation: Spherical coordinate describes a location of a point in space: one distance (ρ) and two angles (Ф,θ).To transform cartesian coordinates into spherical coordinates:

$\rho = \sqrt{x^{2}+y^{2}+z^{2}}$

$\phi = cos^{-1}\frac{z}{\rho}$

For angle θ:

If x > 0 and y > 0: $\theta = tan^{-1}\frac{y}{x}$ ;

If x < 0: $\theta = \pi + tan^{-1}\frac{y}{x}$ ;
If x > 0 and y < 0: $\theta = 2\pi + tan^{-1}\frac{y}{x}$ ;

Calculating:

a) (4,2,-4)

$\rho = \sqrt{4^{2}+2^{2}+(-4)^{2}}$ = 6

$\phi = cos^{-1}(\frac{-4}{6})$

$\phi = cos^{-1}(\frac{-2}{3})$

For θ, choose 1st option:

$\theta = tan^{-1}(\frac{2}{4})$

$\theta = tan^{-1}(\frac{1}{2})$

b) (0,8,15)

$\rho = \sqrt{0^{2}+8^{2}+(15)^{2}}$ = 17

$\phi = cos^{-1}(\frac{15}{17})$

$\theta = tan^{-1}\frac{y}{x}$

The angle θ gives a tangent that doesn't exist. Analysing table of sine, cosine and tangent: θ = $\frac{\pi}{2}$

c) (√2,1,1)

$\rho = \sqrt{(\sqrt{2} )^{2}+1^{2}+1^{2}}$ = 2

$\phi = cos^{-1}(\frac{1}{2})$

$\phi$ = $\frac{\pi}{3}$

$\theta = tan^{-1}\frac{1}{\sqrt{2} }$

d) (−2√3,−2,3)

$\rho = \sqrt{(-2\sqrt{3} )^{2}+(-2)^{2}+3^{2}}$ = 5

$\phi = cos^{-1}(\frac{3}{5})$

Since x < 0, use 2nd option:

$\theta = \pi + tan^{-1}\frac{1}{\sqrt{3} }$

$\theta = \pi + \frac{\pi}{6}$

$\theta = \frac{7\pi}{6}$

Cilindrical coordinate describes a 3 dimension space: 2 distances (r and z) and 1 angle (θ). To express cartesian coordinates into cilindrical:

$r=\sqrt{x^{2}+y^{2}}$

Angle θ is the same as spherical coordinate;

z = z

Calculating:

a) (4,2,-4)

$r=\sqrt{4^{2}+2^{2}}$ = $\sqrt{20}$

$\theta = tan^{-1}\frac{1}{2}$

z = -4

b) (0, 8, 15)

$r=\sqrt{0^{2}+8^{2}}$ = 8

$\theta = \frac{\pi}{2}$

z = 15

c) (√2,1,1)

$r=\sqrt{(\sqrt{2} )^{2}+1^{2}}$ = $\sqrt{3}$

$\theta = \frac{\pi}{3}$

z = 1

d) (−2√3,−2,3)

$r=\sqrt{(-2\sqrt{3} )^{2}+(-2)^{2}}$ = 4

$\theta = \frac{7\pi}{6}$

z = 3

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3 years ago

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docker41 [41]

The independent variable is:
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3 years ago

A grocery store bought milk for $2.60 per half gallon and stored it in two refrigerators. During the night, one refrigerator mal

Stells [14]

Answer:

88 half gallons

Step-by-step explanation:

We can solve this problem by creating an equation. First we will need a variable. Since we are trying to find how many half gallons the store bought, that will be what our variable represents.

Let g = the number of half gallons

Since the store bought milk for $2.60 per half gallon, the amount of money they spent will be 2.6g.

The remaining milk is sold for $4.08 per half gallon. Remember, the store lost 15 half gallons so the number of gallons is currently g-15. This means that to find the amount of profit they made, we use 4.08(g-15).

We already know that the profit is $69.04, so we can make this into an equation.

This profit is the amount of money made minus the cost.

4.08(g-15) - 2.6g = 69.04

We can begin to solve this by simplifying the left side.

4.08(g-15) - 2.6g

4.08g - 61.2 - 2.6g

1.48g - 61.2

This makes our new equation:

1.48g - 61.2 = 69.04

We can begin to isolate our variable, g, by adding 61.2 to both sides.

1.48g = 130.24

Then we divide both sides by 1.48.

g = 88

4 0

3 years ago