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3 years ago

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A car is traveling at a rate of 99 kilometers per hour. what is the car's rate in kilometers per minute? how many kilometers wil

l the car travel in 2 minutes? do not round your answers.

1 answer:

gayaneshka [121]3 years ago

7 0

there are 60 minutes per hour

99/60 = 1.65 km per minute

1.65 x 2 = 3.3 km in 2 minutes

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System of equations with different slopes and different y-intercepts have one solution.

Pavlova-9 [17]

The answer is :
<span>A. Always

Also </span>
<span>If two equations have different slopes but equivalent y-intercepts, they will have one solution and that will be the point where the y-intercept is. If two equations have different slopes and different y-intercepts, then there will be one solution where those two lines meet. If two equations have the same slope but different y-intercepts, the lines will be parallel, and there is no possible intersection point. And if two equations have equal slopes and equal y-intercepts, these lines will have an infinite amount of solutions, because if the equations are one the same line, every single point on that line is a solution to the system. </span>

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You’re going to use your TI-83 graphing calculator to compute the area between values of 7 and 9 for a distribution whose mean i

astraxan [27]

Answer: The answer is A

Step-by-step explanation: You use normalcdf to find the area under a curve. The lower bound (in this case 7) goes first followed by the upper bound, mean, and standard deviation.

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3 years ago

What’s 1/5 divided by 1/12?

Ksivusya [100]

When divided fractions you flip the second fraction

1/5 x 12/1

This then equals
12/5

That simplifies to 2 2/5

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3 years ago

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In a triangle, the sum of the measures of the first two angles is 12 less than the measure of the third angle. In addition, the

PSYCHO15rus [73]

the sum of the internal angles of a triangle are equal to 180 degrees.

once i remembered that the problem became a lot easier.

let a, b, and c be the angles of the triangle.

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let a = 2*b

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let c = a+b-12

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the above two statements are given.

since the sum of the internal angles of a triangle are equal to 180, then we have a third equation to work with which is

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a + b + c = 180

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we now have 3 equations for 3 unknowns and we should be able to solve for each of the unknowns.

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it looks like the easiest thing is to solve for b. once we find b, the rest should fall into place very nicely.

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since a = 2*b, we can substitute 2*b for a in the equation a + b + c = 180.

that equation then becomes 2*b + b + c = 180 which becomes 3*b + c = 180.

looking at the equation c = a + b - 12, we solve for b as follows:

since we know that a = 2 * b, we can substitute 2*b for a and the equation becomes c = 2*b + b - 12 which becomes c = 3*b - 12.

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the equation we are working with is 3*b + c = 180 which originally started as a + b + c = 180.

we can substitute 3*b - 12 for c and the equation becomes

3*b + 3*b - 12 = 180 which becomes 6*b = 192 after adding 12 to both sides and combining like terms.

dividing both sides of the equation by 6 and we get b = 32 degrees.

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we have b = 32 degrees.

we have a = 2 * b so a = 64 degrees.

we have c = a + b - 12 which becomes c = 32 + 64 - 12 which becomes c = 96 - 12 which becomes c = 84 degrees.

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substituting in the equation a + b + c = 180, we get 32 + 64 + 84 = 180 which becomes 96 + 84 = 180 which becomes 180 = 180.

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answer is:

a

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3 years ago

The polynomial x 3 + 5x 2 - 57x -189 expresses the volume, in cubic inches, of a shipping box, and the width is (x+3) in. If t

Ipatiy [6.2K]

V=x^3+5x^2-57x-189
Width: W=(x+3) in = 15 in →x+3=15
Solving for x:
x+3-3=15-3→x=12

With x=12 the Volume would be:
V=(12)^3+5(12)^2-57(12)-189
V=1,728+5(144)-684-189
V=1,728+720-684-189
V=1,575

V=W*D*H
Depth: D
Height: H
with H>D

V=1,575; W=15
Replacing in the equation above:
1,575=15*D*H
Dividing both sides by 15
1,575/15=(12*D*H)/15
105=D*H
3*5*7=D*H
D<H
If D=5→H=3*7→H=21
If D=7→H=3*5→H=15

Answer: Option <span>C. height: 21 in. depth: 5 in.
</span>
Please, see the attached file for another form to solve the problem

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