MOON The expression gives the weight of an object on the Moon in pounds with a weight of w pounds on Earth. What is the weight of a space suit on the Moon if the space suit weighs 178.2 pounds on Earth?

Answer:

their corresponding side length are poprotional

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2/3 is the slope of the graph of the equation 4x - 6y=2. Option C is correct.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The equation of the graph is 4x - 6y=2

We need to convert this to the slope intercept form y=mx+b

4x - 6y=2

Subtract 4x from both sides

-6y=2-4x

Divide both sides by -6

y=-2/6+4/6x

y=2/3x-2/6

Hence 2/3 is the slope of the graph of the equation 4x - 6y=2

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Answer:

y=-3x-7

Step-by-step explanation:

y=-3x+5

-3 stays the same

y=-3x+c

input values

-4=3+c

c=-7

y=-3x-7

Answer:

8.86 cm

Step-by-step explanation:

The sine rule shows the relationship between the sides of a triangle and its opposite sides. Sine rule states that given a triangle with side a and opposite angle A, side b and opposite angle B, side c and opposite angle C then:

[tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex]

From the image attached, let AB = x, its opposite angle is 41°. BC = 13.5 cm and its opposite angle is 90°  (right angle). Therefore using sine rule:

[tex]\frac{x}{sin(41)} =\frac{13.5}{sin(90)} \\\\x=sin(41)*\frac{13.5}{sin(90)}\\\\x=8.8568\\\\ x=8.86\ cm\ to\ 3\ s.f[/tex]

x = AB = 8.86 cm

Answer:

A,C,E

Step-by-step explanation:

Answer:

B. n ≥ -24.

D. The circle is closed.

E. The arrow points right.

Step-by-step explanation:

Step 1: Multiply both sides by -3/2, the reciprocal of -2/3. Since -2/3 is negative, the inequality direction changes.

(-2/3 * -3/2)n ≤ 16(-3/2)

n ≥ 16(-3/2)

Step 2: Express 16(-3/2) as a single fraction.

n ≥ 16(-3)/2

Step 3: Multiply 16 by -3 to get -48.

n ≥ -48/2

Final Step: Divide -48 by 2 to get -24.

n ≥ -24 is the final answer.

With inequalities that have this (≥), the circle should be closed (D) and the arrow goes right (E).

Answer:don't know

Step-by-step explanation:

Answer:

F=16

Step-by-step explanation:

Answer:

45 x 5 = 225 so 225 students altogether on 5 buses

Step-by-step explanation:

have a good day

Answer:

50,000 people.

Step-by-step explanation:

5 people on each bus.

10,000 buses total.

5 x 10,000 = 50,000

Answer:

Rewrite in slope-intercept form.

Tap for more steps...

y=−4/5x+6

Using the slope-intercept form, the slope is −4/5 .

m=−4/5

All lines that are parallel to y=−4/5x+6

have the same slope of −4/5.

mparallel=−4/5

Step-by-step explanation:

The line parallel to the x- axis which is given equation is [tex]y=-\frac{4}{5}+6[/tex]

Parallel lines are lines that have the same slope. They are lines that do not meet at any given point and the distance between the two points is constant. For example, if we have a line [tex]y=m_1x+c_1[/tex] which is parallel to the line [tex]y=m_2x+c_2[/tex] then: [tex]m_1=m_2[/tex] and we can rewrite the equation of the second line as :[tex]y=m_1x+c_2.[/tex]

We have the equation is:

[tex]y=-\frac{4}{5}+6[/tex]

Now, The equation is in the form of y = mx + c

Hence, The value of slope - intercept form is : m = -4/5

We have to plot the line in the graph :

[tex]y=-\frac{4}{5}+6[/tex]

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Answer:

9, plug 3 in for x and multiply 3(3)

Answer:

Equation of line passing through (3,2) and parallel to line [tex]y = \frac{1}{3}x-3[/tex] is:

[tex]y = \frac{1}{3}x+1[/tex]

Step-by-step explanation:

Given equation of line is:

[tex]y = \frac{1}{3}x-3[/tex]

Slope-intercept form of a line is given by:

[tex]y = mx+b[/tex]

Comparing the given equation of line with general form we get

m = 1/3

Let m1 be the slope of line parallel to given line

Then the equation of line will be:

[tex]y = m_1x+b[/tex]

We know, "Slopes of two parallel lines are equal"

Which means

[tex]m_1 = m\\m_1 = \frac{1}{3}[/tex]

Putting the value of slope

[tex]y = \frac{1}{3}x+b[/tex]

Putting the point (3,2) in the equation

[tex]2 = \frac{1}{3}(3)+b\\2 = 1+b\\b = 2-1\\b = 1[/tex]

Final equation of line is:

[tex]y = \frac{1}{3}x+1[/tex]

Hence,

Equation of line passing through (3,2) and parallel to line [tex]y = \frac{1}{3}x-3[/tex] is:

[tex]y = \frac{1}{3}x+1[/tex]

Answer:

21 in

Step-by-step explanation:

by the Pythagorean theorem we have

[tex]841=400+x^2\\\\x^2=441\\\\x=21[/tex]

notice that the 841 and the 400 don't go squared because they already squared!

Answer:

Rickroll

Step-by-step explanation:

Answer:

Step-by-step explanation:

im kakyoin

jojo greatest

Answer:

3/231 can be simplified to 1/77.

Step-by-step explanation:

[tex]\frac{2}{3}x+5=21\\\frac{2}{3}x=16\\x=16/2/3\\x=16*3/2\\24[/tex]

4x+4y..........................

Answer:

C

Step-by-step explanation:

Given

[tex]\frac{2}{3}[/tex] m + 5 = 17 ( subtract 5 from both sides )

[tex]\frac{2}{3}[/tex] m = 12 ( multiply both sides by 3 to clear the fraction )

2m = 36 ( divide both sides by 2 )

m = 18 → C

Answer:

C

Step-by-step explanation:

2/3X18=6+5=11

Answer:

408

3 percent of 300 is 9.

So it is $9 every month times 12 months

is equal to 108 so add the 300 on top of the 108 = 408

Step-by-step explanation:

Answer:

wcsvbth5435y4wte3rwth54u3

Answer:

The answer is D.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

C i think it's C but im not really sure

Answer:

-0.02, -0.1, 19/81 ,5/6 ,10

Step-by-step explanation:

Answer:

i believe the missing value is (3,-2)

Step-by-step explanation:

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Answer:

E. 6.28 x 10^-6

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

Answer:

-6.5

Step-by-step explanation:

-2 + -9 =-11 ÷2=-6.5

Answer:

Depends. If you were asking 2+-9/2, according to the rules of PEMDAS it would be -2.5 but by the way you wrote that, I'm assuming you meant (2+-9)/2 which is -3.5.

Answer:

9ber

Step-by-step explanation:

Aight will do

Answer: 7

Explanation:

x+3=10

10-3=x

7=x