Write 2 1/4
as an improper fraction.

Answer:

The speed of the car is 50 mph.

The speed of the plane is 150 mph.

Driving time = 185/50 = 3.7 hours

Flying time = 645/150 = 4.3 hours

Step-by-step explanation:

R be the speed of the car.

t is the driving time.

185 = R* t

645 = (3R)*(8-t) <---  the plane is 3 times as fast; the total time is 8 hours, so 8-t hours is spent flying

645 = 24R - 3rt <--- distributive

645 = 24R - 3(185)  <--- substitutes rt = 185

645 = 24R - 555

1200 = 24R

R = 50

Answer:

20

Step-by-step explanation:

Answer: 20

Step-by-step explanation: 115-95=20

Answer:

at least 2 angles are congruent

Step-by-step explanation:

isoseles triangles have two congruent opposite angles such as 70 70 40

Answer:

6

Step-by-step explanation:

The question indicates that the triangles are similar. The sides of FGH are 12, 15, and 20. The measured side of MNP is 10, which is 1/2 of 20. So since NM is the shortest side, it corresponds to the shortest side of FGH, which is 12. 1/2 of 12 is 6.

Please let me know if you have questions.

Answer:

51

Step-by-step explanation:

34/200=.17

.17×300= 51

Answer:

1.8 + 0.75

Step-by-step explanation:

1.80

+0.75

= 2.55

I think. :)

Answer:

How to write by fraction? 50 1/2 by 50 1/2

Step-by-step explanation:

the maximum area for a rectangle is a square.

To find a square with p = 202, divide it by 4,

202 / 4 = 50.5

Answer:

oh delete my answer ;-;

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer: rational number

Step-by-step explanation:

Mixed numbers are all rational numbers because they can be expressed as a fraction. To be a rational number, a number must be able to be written

Answer:

37.7

Step-by-step explanation:

First you would need to find the radius by dividing 24 by 2 which is 12. Then multiply the radius by pie (3.14) and the answer should be 37.68 rounded to the nearest tenth, 37.7.

Answer:

I can't see the options, so i will find all the asymptotes.

We have the function:

[tex]f(x) = \frac{x^4 - 4*x^2 + x}{-2*x^4 + 18*x^2}[/tex]

First, we can graph this using a graphing tool, the graph can be seen below.

In the graph, we can see that when we approach x = 0 from the left, f(x) goes to negative infinity, while if we approach x = 0 from the right, f(x) goes to infinity.

This can be written as:

[tex]\lim_{x \to 0_-} f(x) = - \infty \\[/tex]

and:

[tex]\lim_{x \to 0_+} f(x) = + \infty \\[/tex]

A similar thing can be seen at x = 3, when we approach from the left f(x) goes to infinity, while if we approach from the left, f(x) goes to negative infinity.

Then:

[tex]\lim_{x \to 3_-} f(x) = \infty \\\\\lim_{x \to 3_+} f(x) = - \infty \\[/tex]

For x = -3 we can see that when we approach from the left, f(x) goes to negative infinity, while if we approach from the right, f(x) goes to infinity.

Then:

[tex]\lim_{x \to -3_-} f(x) = - \infty \\\\\lim_{x \to -3_+} f(x) = + \infty \\[/tex]

We also can see that as x goes to negative infinity or positive infinity, f(x) tends to -0.5

Then:

[tex]\lim_{x \to \infty} f(x) = -0.5 \\ \lim_{x \to -\infty} f(x) = -0.5[/tex]

So you need to check the options that match with some of the given tendencies.

Answer:

b,c,d

Step-by-step explanation:

edg 21 ^u^

Answer:

2k + 3z

Step-by-step explanation:

k + k + z + z + z

2k + 3z

Answer:

x  = 5.

Step-by-step explanation:

The area of a rectangle can be determined by the following formula.

A = l ⋅ w  

l  stands for length or the longer side.

w  stands for width or the shorter side.

Now, we can plug the values we are given into the equation.

A = ( x − 2 ) ⋅ ( x + 8 )

The easiest way to multiply is to follow the acronym FOIL , which stands for First Outside Inside Last, and dictates the order in which you multiply these terms.

A = x 2 + 8 x − 2 x −16 = x 2 + 6 x − 16

Now, we can plug in the given value for the area.

39 = x 2 + 6 x − 16  

Next, we simplify by moving all terms to one side and factor the equation.

0 = x 2 + 6 x − 55

Finally, we factor the equation. This means we reverse-FOIL, trying to determine the two things that we multiplied together.

0= ( x − 5 ) ⋅ ( x + 11 )

If the equation ultimately equals zero, either  ( x − 5 )  or  ( x + 11 )  or both equal zero. Therefore, we set each equal to zero to find the value of  

x .

x − 5 = 0 x = 5 x + 11 = 0

x = − 11

Since  x  is a length, we know it cannot be negative. Thus, we can conclude that it equals 5.

In a 30-60-90 triangle the hypotenuse is 2 times the shortest leg.

In the problem, they multiplied the shortest leg by sqrt(3)

Hypotenuse = shortest leg x 2

Hypotenuse = 7 x 2 = 14 units

Answer:

5.75

Step-by-step explanation:

Think about it like this, which number is changing with "X" ? Obviously the total f(x) and the number being multiplied by x (the slope) 4.99 so the fixed number is 5.75

Answer:

1. 40

2. 40

3. 140

4. 210.5

I tried, hope this helps :)

Answer:

Exact Form:

17/15

Decimal Form:

1.1333333.....

Mixed Number Form:

1 2/15

Answer:

17 / 15

Step-by-step explanation:

LCM of 3 and 5 is 15.

4 / 5

= ( 4 / 5 ) x ( 3 / 3 )

= 12 / 15

1 / 3

= ( 1 / 3 ) x ( 5 / 5 )

= 5 / 15

( 4 / 5 ) + ( 1 / 3 )

= ( 12 / 15 ) + ( 5 / 15 )

= ( 12 + 5 ) / 15

= 17 / 15

Answer:

(1) The angles are 81⁰, 76⁰, 23⁰ and y = 157⁰

(2) The angles are E = 122⁰, P = 40⁰, and Q = 18⁰

Step-by-step explanation:

(1)

Considering the first diagram;

(4x + 29)  + (5x + 11)   +   (2x - 3) = 180 (sum of angles in a triangle)

collect like terms together;

(4x  + 5x  +  2x)  + ( 29 + 11 - 3) = 180

11x + 37 = 180

11x = 180 - 37

11x = 143

x = 143 / 11

x = 13

The angles of this triangle are calculated as follows;

4x + 29 =  (4 x 13)  + 29  = 81⁰

5x + 11  = (5 x 13) + 11 = 76⁰

2x - 3 = ( 2 x 13) - 3 = 23⁰

y⁰ + (2x - 3) = 180 (sum of angles on a straight line)

y⁰ + 23⁰ = 180

y⁰  = 180 - 23

y = 157⁰

(2)

Considering the second triangle;

(15m + 17)  +   (7m - 9)   +   (4m - 10) = 180 (sum of angles in a triangle)

(15m + 7m + 4m) + (17 - 9 - 10) = 180

26m - 2 = 180

26m = 180 + 2

26m = 182

m = 182 / 26

m = 7

The angles of this second triangle are calculated as follows;

E: 15m + 17  = (15 x 7) + 17 = 122⁰

P: 7m - 9 = (7 x 7) - 9 = 40⁰

Q: 4m - 10 = ( 4 x 7)  - 10 = 18⁰

Answer:

the answer is c

Step-by-step explanation:

We can see that Table A best illustrates the values for the equation.

The answer is (a) Table A.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

The given equation is y = x² + 7x.

We can determine the values of a, b, and c by comparing the equation to the standard form of a quadratic equation,

which is y = ax² + bx + c.

In this case,

a = 1, b = 7, and c = 0.

To determine the direction in which the parabola opens, we can look at the coefficient of the x² term, which is a.

Since a is positive, the parabola opens upwards.

The y-intercept is the point where the parabola intersects the y-axis.

To find it, we can set x = 0 in the equation:

y = 0² + 7(0) = 0

So the y-intercept is (0,0).

Thus,

We can see that Table A best illustrates the values for the equation.

The answer is (a) Table A.

Learn more about equations here:

https://brainly.com/question/17194269

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Answer:

Step-by-step explanation:

174

Answer:

i believe its 26

Step-by-step explanation:

please mark brainliest if right

Simple interest is an interest added on an amount of money. The yearly interest rate is 1.05%

Simple interest is an interest added on an amount of money. The formula for calculating amount is given as:

Amount. = Principal + Interest

8000 = 1280 + PRT

Substitute

8000 - 1280 = 1280(R)(5)
6720 = 6400R
R = 1.05

Hence the yearly interest rate is 1.05%

Learn more on interest rate here: https://brainly.com/question/25720319

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Answer:

$3.40

Step-by-step explanation:

$5 minus $1.60 = $3.40

Mean (Average) 17.75

Median 9.5

Range 49

Mode 0, (appeared 2 times)

Geometric Mean 0

Largest 49

Smallest 0

Sum 142

hope this helps

By the way, these are the numbers you provided just in case you forgot anything, these are the ones I answered for.

49, 5, 0, 0, 47, 2, 25, 14

Answer:

x = 31

Step-by-step explanation:

These angles are complementary so:

2x + x - 3 = 90

3x - 3 = 90

3x = 93

x = 31