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Llana [10]
3 years ago
6

GRADUATING THIS WEEK NEED THIS ALL ANSWERED

Mathematics
2 answers:
Elza [17]3 years ago
6 0

Answer:

3 hours

Step-by-step explanation:

We have the amount of miles that Tanika passed, 189 miles. We also have the speed at which Tanika was driving, 63 miles per hour. Basically, Tanika was passing 63 miles on every one hour of driving. In order to find out how much time was Tanika driving with that speed to pass those miles, we just simply need to divide the miles passed with the speed of driving:

189 / 63 = 3

So we have a result of 3, thus Tanika needed three hours with a speed of 63 miles per hour to pass 189 miles.

aalyn [17]3 years ago
5 0

Question 1:

For this case we can raise a rule of three:

63 miles ---------------> 1 hour

189 miles -------------> x

Where "x" represents the number of hours it takes Tanika to travel 189 miles.

x = \frac {189 * 1} {63}\\x = 3

So, Tanika takes 3 hours to travel 189 miles

Answer:

Three hours

Question 2:

For this case we must solve the following equations:

A) -2x

Dividing between -2 on both sides of the inequality:

x

B) 5t + 7

We subtract 7 on both sides of the inequality:

5t

Dividing between 5 on both sides of the inequality:

t

C) 12s-17 \geq2s + 33

We subtract 2s on both sides of the inequality:

12s-2s-17 \geq33\\10s-17 \geq33

We are 17 on both sides of the inequality:

10s \geq33 + 17\\10s \geq50

We divide between 10 on both sides of the inequality:

s \geq \frac {50} {10}\\s \geq5

D) -8m> -24

Dividing between -8 on both sides of the inequality:

m> \frac {-24} {- 8}\\m> 3

E) 8n + 7> 4n + 35

Subtracting 4n on both sides of the inequality:

8n-4n> 35-7\\4n> 28

Dividing between 4 on both sides of the inequality:

n> \frac {28} {4}\\n> 7

Answer:

x  7

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Why does 5x2/3 =10x1/3
lesya [120]

Answer:

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7 0
3 years ago
FEE
frozen [14]

Answer:

The equations represent the line that is parallel to 3x - 4y = 7 and pass through the point (-4,-2) are:

  • y+2=\frac{3}{4}\left(x+4\right)
  • 3x - 4y = -4

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the line

3x - 4y = 7

writing in the slope-intercept form

4y = 3x - 7

dividing both sides by 4

4y/4 = 3/4x - 7/4

y = 3/4x - 7/4

Now, comparing with the slope-intercept form of the line equation

y = 3/4x - 7/4

The slope of the line m = 3/4

We know that parallel lines have the same slopes.

Therefore, the slope of the parallel line is: 3/4

now we have,

The point (-4, -2)

The slope m of parallel line = 3/4

Given the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

where m is the slope of the line and (x₁, y₁) is the point

substituting (-4, -2) and m = 3/4 in the point-slope form of line equation

\:y-\left(-2\right)=\frac{3}{4}\left(x-\left(-4\right)\right)

y+2=\frac{3}{4}\left(x+4\right)

Thus, the equation in the point-slope form of the line equation is:

y+2=\frac{3}{4}\left(x+4\right)

Simplifying the equation

y+2=\frac{3}{4}\left(x+4\right)

Subtract 3 from both sides

y+2-2=\frac{3}{4}\left(x+4\right)-2

y=\frac{3}{4}x+1

Multiplying the equation by 4

4y = 3x + 4

3x - 4y = -4

Therefore, the equations represent the line that is parallel to 3x - 4y = 7 and pass through the point (-4,-2) are:

  • y+2=\frac{3}{4}\left(x+4\right)
  • 3x - 4y = -4
7 0
3 years ago
Lesson Posttes
joja [24]

A translation 2 units to the left followed by dilation by 1/2.

The correct option is (B).

<h3>What is congruency?</h3>

It states that that two triangles are said to be congruent if they are copies of each other and when superposed, they cover each other exactly.

The complete question is:

Which of the following composition of transformations would create an

image that is not congruent to its original image?

A rotation of 45° followed by a reflection across the x-axis

A translation 2 units to the left followed by dilation by 1/2

A reflection across the y-axis followed by a rotation of 60°

A rotation of 135º followed by a translation of 4 units to the right.

After a translation of 2 units to the left followed by dilation by 1/2 the image will not be congruent to its original image.

All other options are reflection and rotation, which not fit into the situation.

Learn more about congruency here:

brainly.com/question/7888063

#SPJ1

7 0
2 years ago
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