Lily drives 90 miles in 2 hours. If she drives at the same rate, how far does lily travel in each of the following time intervals: 1 hour, 1/2 hour, and 3 hours? Please solve in at least two different ways. You could make a bar model, double number line, ratio table, or graph.

How far does she travel in 1/2 hour?

Answer:

The value of mEFD = 214°

Step-by-step explanation:

Given that the measure of the degree of one of the central angles of an inner circle is 146°.

We know that sum of all central angles is 360°.

In other words, in our case

mEFD + 146° = 360°

Thus, we can determine the mEFD using the equation

mEFD + 146° = 360°

so subtracting 146° to both sides

mEFD + 146° - 146°  = 360° - 146°

mEFD = 214°

Therefore, the value of mEFD = 214°

Answer:

A

Step-by-step explanation:

Area of shape A:  (3x² + 2)(7x² + 4x + 8) = 21x^4 + 12x³ + 38x² + 8x + 16

Area of shape B: (3x² + 2)(3x² + 2) = 9x^4 + 12x² + 4

Difference:  12x^4 + 12x³ + 26x² + 8x + 12

Answer:

45/13 in decimal form rounded to the nearest tenth:

[tex] \frac{45}{13} = 3.46 ≈\boxed{3.5}(approx) \\ [/tex]

Answer=3.5

Step by step: 45/13=3.5

Answer:

let mw know if im wrong but i think the answer would most likely be 150

Answer:

9,15

Step-by-step explanation:

3x3=9

3x5=15

both timed by 3 and they are both rates so there you go hope this helps!

Answer:

x+3

Step-by-step explanation:

Answer:

Step-by-step explanation:

The expression would be d + 3.

You're raising $3 in every sweaters cost so d is the cost of the sweater and you add 3 to raise $3 in the price.

Answer:

I belive It would be Quadant IV (d) if I did everything right sorry if I am not correct.

Please tell me if im not correct thank you.

Answer:

not sure sorry

Step-by-step explanation:

Answer:

6x-12=8x-16

6x-8x=12-16

-2x=-4

x=2

So it's TRUE

Answer:

272

Step-by-step explanation:

45 and a third = 45 1/3

one sixth = 1/6

hence:

45 and a third divided by one sixth =

= 45 1/3 ÷ 1/6

= 136/3 ÷ 1/6

We convert to multiplication by converting 1/6 to its reciprocal which is 6/1

Hence:

= 136/3 ×6/1

= 272

Answer:

[tex]y-9=-\frac{3}{7} (x+4)[/tex]

Step-by-step explanation:

Slopes are negative reciprocals when two lines are perpendicular

[tex]m= - \frac {3}{7}[/tex]

Equation of straight line in point-slope form is given as

[tex]y-y_1=m(x-x_2)[/tex]

Here [tex](x_1, y_1)= (-4, 9)[/tex]

[tex]y-9=-\frac{3}{7} (x+4)[/tex]

The equation of line passes through the point (-4, 9) will be;

⇒ y - 9 = - 3/7x - 12/7

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line are (-4, 9).

And, The perpendicular line is,

⇒ y - 2 = 7/3 (x + 5)

Now,

Since, The equation of line passes through the point (- 4, 9).

So, We need to find the slope of the line.

Since, The product of the slope of perpendicular line is - 1.

Hence, Slope of the perpendicular line is,

⇒ y - 2 = 7/3 (x + 5)

m = dy/dx = 7/3

m = 7/3

Thus, The equation of line with slope - 3/7 is,

⇒ y - 9 = - 3/7 (x - (-4))

⇒ y - 9 = - 3/7 (x + 4)

⇒ y - 9 = - 3/7x - 12/7

⇒ y = - 3/7x + 9 - 12/7

⇒ y = - 3/7x + 51/7

Therefore, The equation of line passes through the point (-4, 9) will be;

⇒ y - 9 = - 3/7x - 12/7

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Answer:

0?

Step-by-step explanation:

Answer: $49,000

Step-by-step explanation:

Total earnings = Basic salary + commission

Commission = 175,000 * 4%

= $7,000

Total earnings = 42,000 + 7,000

= $49,000

Answer:

C is the answer if you count 8 down, if not. sorry

Answer:

c. -3, -4 if you go 8 numbers down from point P then that's what you should get.

Answer:

Well, 48 divided by 8 is 6. And 6 times 3 is 18. So I belive that there would be 18 bottles of paint.

Step-by-step explanation:

The number of bottles of paintbrushes is 18.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A ratio shows how often one number is contained in another.

For instance, if a dish of the fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.

Given that the ratio of paintbrushes to bottles of paint in Ms. Nelson's supply closet is 8 to 3. If there are 48 paintbrushes.

The number of the bottles will be calculated as:-

P / B = 8 / 3

3P = 8B

3 x 48 = 8B

B = 3 x 6

B = 18

Therefore, the number of bottles of paintbrushes is 18.

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Answer:

The sides can be 38 and 24.

Step-by-step explanation:

Consider the provided information.

The given options are: a) 15, b) 24, c)38, d)41, E)53

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

Here a=12 and b=28 we need to find c

The sum of 12 and 28 is 40.

So, It means the side can not be 41 and 53 as it is greater than 40.

Now let the third side is 15.

Then the sides are 12, 28  and 15

The sum of two smaller sides: 12+15=27

But 27 is less than 28.

So the side can't be 15.

Now let the third side is 24.

Then the sides are 12, 28  and 24

The sum of two smaller sides: 12+24=36

But 36 is greater than 28.

So the side can be 24.

Now let the third side is 38.

Then the sides are 12, 28 and 38

The sum of two smaller sides: 12+28=40

But 40 is greater than 38.

So the side can be 38.

Hence, the sides can be 38 and 24.

Answer:

yes

Step-by-step explanation:

its a straight line and does not touch each other

Answer:

I can't see the question

Step-by-step explanation:

Answer:

A. 60 degrees

Step-by-step explanation:

The sum of the abgles in a triangle is 180°. We are already given 96° and 24°.

so we will subtract the given values from 180 to find the third angle

180-(96+24)=180-120=60°

The answer is A. 60°

Answer:

1. Answer: F = P123,514.09

Step-by-step explanation:

1. Peter started to deposit P5,000 quarterly in a fund that pays 1% compounded quarterly. How much will be in

the fund after 6 years?

1. Answer: F = P123,514.09

The fund after six years is 123,514.09.

Given that,

Based on the above information, the calculation is as follows:

Given that,

PV = 5,000

PMT = 0

NPER = 24

RATE = 0.25%

The formula is

=-FV(RATE,NPER,PMT,PV,TYPE)

After applying the above formula, the future value be 123,514.09.

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Answer:

13 + 2n

Step-by-step explanation:

Answer:

15.49

Step-by-step explanation:

A^2+B^2=C^2

Answer:

1 hour= 45 miles

1/2 hour=22.5 miles

3 hours= 135

Step-by-step explanation:

just work out one hour by halving 90 miles which is 45. Then work out the rest by halving again and multiplying by 3.

Answer:

1st way:

90/2=45

1 hour = 45 miles

45/2=22.5

0.5 hour = 22.5 miles

45+22.5=67.5

1.5 hour = 67.5 miles

67.5x2=135

3 hours = 135 miles

2nd way:

90 miles - 2 hours

1 hour - 60 minutes

60x2=120

90/120=0.75

1 minute - 0.75 miles

0.75x60=45

1 hour = 45 miles

60:2=30

60+30=90

0.75x90=67.5

1.5 hour = 67.5 miles

60x3=180

0.75x180=135

3 hours = 135 miles

Answer:

1/3 divided by 5/4

So we divide both the top by 3 and the bottom by 3 and so our final answer would be 4 over 7. So that's our simplified fraction

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Invert and multiply:

Take the reciprocal of the divisor and multiply the dividend. The top and bottom are being multiplied by the same number. Since that number is the reciprocal of the bottom part, the bottom becomes one.

Find the biggest common number:

It could be said to be a "more correct" method. This is the correct way since, you can’t divide apples by oranges in the same way as you can’t divide fifths by fourths.

Answer:

Step-by-step explanation:

You find the biggest common number you can divide the numerator and denominator.

For example, we have our answer is 8/12 so you can divide it into 1,2, and 4. 8/12 divide by 1/1 =   8/12. 8/12 / 2/2 = 4/6. 8/12 / 4/4 = 2/3.

So the answer is 2/3.

Answer:

y=x^2 +10x+6 should be the answer

Step-by-step explanation: