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2 years ago

Write an inequality for the sentence below and then solve and check it. The sum of w and nine is less than 18

Mathematics

1 answer:

Andre45 [30]2 years ago

7 0

Answer:

w < 9

Step-by-step explanation:

w + 9 < 18

To solve this inequality, we MUST get the w by itself

Subtraction Property of Equality w + 9 - 9 < 18 - 9

Answer w < 9

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The density of a fish tank is 0.4fish over feet cubed. There are 12 fish in the tank. What is the volume of the tank?

ololo11 [35]

Answer: $30\ ft.^3$

Step-by-step explanation:

Given: Density of tank = 0.4 fish over feet cubed.

We know that, $\text{Density}=\frac{\text{Mass}}{\text{Volume}}$

Therefore,

$\text{Volume of the tank}=\frac{\text{Mass}}{\text{Density}}\\\\\Rightarrow\ \text{Volume of the tank}=\frac{12}{0.4}\\\\\Rightarrow\ \text{Volume of the tank}=30\ ft.^3$

Hence, the volume of the tank = $30\ ft.^3$

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3 years ago

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MDE=123°and mBC=55°. Find mA. The figure is not drawn to scale

Alik [6]

2. m <A = 34 degrees

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3 years ago

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Given the points (5, 2) and (7, 10) find the slope of the line going through the two points . Now write the point-slope form of

drek231 [11]

Step-by-step explanation:

the slope of a line is specified as the ratio y/x. that indicates how many units y changes, when x changes a certain amount of units.

so, going e.g. from (5, 2) to (7, 10), x changes from 5 to 7 = +2 units. and y changes from 2 to 10 = +8 units.

so, the slope y/x = m = 8/2 = 4

the point-slope form is

y - y1 = m(x - x1)

m = slope

(x1, y1) = coordinates of one point on the line. let's pick the first point (5, 2).

y - 2 = 4(x - 5)

or then fully simplified (leading to the slope- intercept form) :

y - 2 = 4x - 20

y = 4x - 18

for question 2 we do the same thing for (4, -2) and (0, -5).

x changes from 4 to 0, so, -4 units.

y changes from -2 to -5, so, -3 units.

slope = y/x = m = -3/-4 = 3/4

since there is a 0 included, let's use (0, -5) as point for the point-slope form

y - -5 = 3/4(x - 0)

y + 5 = 3/4 x

so, the last option is correct.

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2 years ago

Help show work pleaeee

Inga [223]

SA = 2 $\pi rh$ +2 $\pi$ $r^2$

1. Find the radius.

R = 1/2D

6 x 1/2 = 3

R = 3

2. Plug them in.

SA 2(3.14)(3)(7) + 2(3.14)(3^2)

3. Solve

3 x 7 = 21

21 x 3.14 = 65.94

65.94 x 2 = 131. 88

3^2 = 9

9 x 3.14 = 28.26

28.26 x 2 = 56.52

4. Add them together.

131.88 + 56.52 = 188.4

Answer: 188.4 square millimeters

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3 years ago

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A stone which is dropped into a dry well hits the bottom in 2.2s how deep is the well. take g=10m/s

Papessa [141]

Answer:

23.7m

Step-by-step explanation:

Given parameters:

Time taken = 2.2s

Acceleration due to gravity = 10m/s

Unknown:

Depth of the well = ?

Solution:

To solve this problem, we simply apply one of the motion equations;

S = ut + $\frac{1}{2}$ gt²

where S = depth of the well

u = initial velocity

t = time taken

g = acceleration due to gravity

Input the parameters and solve for S;

Note initial velocity = 0;

S = $\frac{1}{2}$ x 9.8 x 2.2²

S = 23.7m

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3 years ago