New York and Chicago are 800 miles apart. A train leaves New York for Chicago and travels at an average speed of 50 mph. Another train leaves Chicago for New York at the same time and travels at an average spped of 40 mph. How far apart will the two trains be after six hours?

Answer:

x = -22

Step-by-step explanation:

first you distribute the 1/3 to x and -10 and get

1/3x - 10/3 = -4

then add -10/3 to both sides and get

1/3x = -22/3

then divide both sides by 1/3 and get

x = -66/3

(-66/3 simplified is -22)

hope this helped lol

Answer:

28:16

8×2=16

14×2=28

I hope this helps:

Answer:

Latoya can plant 5/6 of her garden in one hour.

Step-by-step explanation:

☆We can solve using proportion!

[tex] \frac{ \frac{1}{3 } \: of \: garden }{ \frac{2}{5} \: of \: hour } = \frac{x}{1 \: hour} \\ \\ \frac{ \: \frac { 2}{5}x }{ \frac{2}{5} } = \frac{ \frac{1}{3} }{ \frac{2}{5} } \\ \\ x = \frac{5}{6} [/tex]

LCM is 240

GCF is 6

long explanation

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

LCM(a,b) = ( a × b) / GCF(a,b)

We will now calculate the prime factors of 30 and 48, than find the greatest common factor (greatest common divisor (gcd) of the numbers by matching the biggest common factor of 30 and 48.

Step-1: Prime Factorization of 30

30 = 2^1 × 3^1 × 5^1

Step-2: Prime Factorization of 48

48 = 2^4 × 3^1

Step-3: Factors of 30

1, 2, 3, 5, 6, 10, 15

Step-4: Factors of 48

1, 2, 3, 4, 6, 8, 12, 16, 24

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30 and 48. The biggest common factor number is the GCF number.

So the greatest common factor 30 and 48 is 6.

Answer:

4. His classmate's daily allowance is of P100.

5. She used 25% of the sheets of art paper.

Step-by-step explanation:

4. Manuel, a son of a school janitor, does not ask for more. He has a daily

allowance of P10 a day which is 20% of his classmate's daily allowance. How much is his classmate's daily allowance?

An allowance of P10 a day is 20% of his classmate's allowance, that is, 20% of x. So

[tex]0.2x = 20[/tex]

[tex]x = \frac{20}{0.2}[/tex]

[tex]x = 100[/tex]

His classmate's daily allowance is of P100.

5. Carla, a grade six pupil , has 24 sheets of art paper for his project in Math. If 6 sheets of art paper were used by Carla, what percent of the sheets of art paper did she use?​

She used 6 sheets, of the 24. So

[tex]P = \frac{6*100}{24} = \frac{100}{4} = 25[/tex]

She used 25% of the sheets of art paper.

Answer:

B).Second choice an enlargement.

Step-by-step explanation:

Answer:

B. An Enlargement

Step-by-step explanation:

Hope this helps:)

Answer:

A

Step-by-step explanation:

Step-by-step explanation:

Ithink the answer is3420

Answer:

3420

Step-by-step explanation:

When you find 10% of an amount, the decimal point would move left.

e.g 10% of 342 would be 34.2

So to find the original amount, the decimal point would move right, or in simple terms, you would add a zero

342 + 0 ÷ 3420

hope this helps:)

Answer:

RECTANGULAR FORM: z -w = 1- 1i

POLAR FORM: z-w = √2(cos135°+i sin135°)

Step-by-step explanation:

Find the image attached

Given the following complex numbers

z = √2 (cos 45º + i sin 45° )

w = 2(cos 90° + i sin 90).

The complex number in rectangular form is expressed as z = x+iy

(x, y) are the rectangular coordinates

Given

z = √2 (cos 45º + i sin 45° )

z = √2 (1/√2+ ( 1/√2)i )

z =  √2(1/√2) +  √2(1/√2)i

z = 1 + i .... 1

Also;

w = 2(cos 90° + i sin 90)

w = 2(0 + 1i)

w  = 2(0) + 2i

w = 0+2i ....2

Take their difference:

z - w = 1 + i - (0+2i)

z-w = 1+i-0-2i

z-w = 1-0+i-2i

z-w = 1-i

Hence the values that goes into the box is 1.

z-w = 1 - 1i

In Polar form;

Get the modulus of the resulting complex number:

|z-w| = √1²+1²

|z-w| = √2

Get the argument:

[tex]\theta = tan^{-1}\frac{y}{x} \\\theta = tan^{-1}(\frac{-1}{1}) \\\theta = tan^{-1}(-1) \\\theta = -45^0[/tex]

Since tan is negative in the second quadrant, the angle will be 180-45 = 135°

The polar form of the complex umber is expressed as;

z-w = |z-w|(cosθ-isinθ)

z-w = √2(cos135°+i sin135°)

Answer: 1, 315, 315

Step-by-step explanation: right on edge

Answer:

x ≅ 7

Step-by-step explanation:

cos(67°) = x/18

x = 18cos(67°) ≅ 7

Answer:

[tex]Job\ Time = 420\ minutes[/tex]

Step-by-step explanation:

Given

[tex]Job\ Time = 7\ hours[/tex]

Required

Determine the job time in minutes

To do this, we simply convert the time to minutes.

[tex]1\ hour = 60\ minutes[/tex]

[tex]7\ hours = 7 * 60\ minutes[/tex]

So, we have:

[tex]Job\ Time = 7 * 60\ minutes[/tex]

[tex]Job\ Time = 420\ minutes[/tex]

Hence, the job time in minutes is 420 minutes

C because there can't be two different outputs for the same input.

Answer:

A Because the y-intercept is always in normal number form

Answer:

c. or d

Step-by-step explanation:

The answer is b. (James wants to know how much dirt can fit into a box)

This situation requires you to know the volume of the box so that you can know how much dirt to put in it.

Happy to help

Answer:

See proof below

Step-by-step explanation

cot^2(x) - csc^2(x) = -1

In trigonometry identity

cot^2x = cos²x/sin²x

Csc²x = 1/sin²x

Substitute into the original expression

cos²x/sin²x - 1/sin²x

Find the LCM

(Cos²x-1)/sin²x .... *

Recall that sin²x+cos²x = 1

Sin²x = 1-cos²x

-sin²x = -1+cos²x

-sin²x = cos²x-1 .... **

Substitute ** into *

(Cos²x-1)/sin²x

-sin²x/sin²x

= -1 (RHS)

Therefore cot^2(x) - csc^2(x) = -1 (Proved!)

Answer:

8

Step-by-step explanation:

Answer:

.07

Step-by-step explanation:

khan answer

Probabilities are used to determine the chances of events.

The probability that the player gets the bonus on the 4th coin is 0.0729

The probability (p) of getting a bonus is given as:

[tex]p = \frac 1{10}[/tex]

The probability (q) of not getting a bonus is calculated using the complement rule:

[tex]q = 1 - p[/tex]

So, we have:

[tex]q = 1 - \frac{1}{10}[/tex]

Take LCM

[tex]q =\frac{10 - 1}{10}[/tex]

[tex]q =\frac{9}{10}[/tex]

The event that the player gets the bonus on the 4th coin is represented as:

Event = qqqp

So, the probability is:

[tex]Pr = q^3p[/tex]

Substitute values for q and p

[tex]Pr = (9/10)^3 \times (1/10)[/tex]

Express as decimals

[tex]Pr = (0.90)^3 \times 0.10[/tex]

Multiply

[tex]Pr = 0.0729[/tex]

Hence, the probability that the player gets the bonus on the 4th coin is 0.0729

Read more about probability at:

https://brainly.com/question/7965468

Answer:

c = 8

Step-by-step explanation:

d=(r-c) t=?

20=(13-c)4=?

(13-c) * 4/ 4 =20/4

13-c=5

13-c-13=5-13

-c= -8

-c/-1 = -8/-1

answer is c=8

Answer:

50

Step-by-step explanation:

40/80 = 1/2

1/2 ⇆ 0.5 ⇄ 50%

Answer:

49 students passed the test

Step-by-step explanation:

70/100=0.07 - 1%

0.07*70=49

Answer:

 -9p3 + 6p2 + 9p - 26/ p

Step-by-step explanation:

hope this helps

Answer:

The complement is 47° and the supplement is 137°.

Step-by-step explanation:

Complementary and Supplementary Angles

When the sum of two angles is equal to 90 degrees, they are called complementary angles. Similarly, if the sum of two angles is 180 degrees, they are called supplementary angles.

We are given an angle of 43 degrees. Its complementary angle is 90° - 43° = 47°, and its supplementary angle is 180° - 43° = 137°.

The complement is 47° and the supplement is 137°.

Answer:

250/250

Step-by-step explanation:

Answer:

[tex]N=0[/tex]

Step-by-step explanation:

Given

[tex]Lost = 2lb[/tex]

[tex]Gained = 2lb[/tex]

Required:

Determine the net weight change

The weight lost will be treated as negation.

So, the net weight change (N) is:

[tex]N=Gained - Lost[/tex]

Substitute values for weight gained and lost

[tex]N=2lb - 2lb[/tex]

[tex]N=0[/tex]

Hence, the net weight change is 0

Answer:

Only (-2, 9) is the solution of the equation.

Hence, option 'b' is correct.

Step-by-step explanation:

Given the equation

y = -2x+ 5

Checking the ordered pair (2, -9)

substituting x = 2 and y = -9 in the equation

y = -2x + 5

-9 = -2(2) + 5

-9 = -4 + 5

-9 = 1

FALSE!

L.H.S ≠ R.H.S

Thus, the ordered pair (2, -9) is NOT a solution of the equation.

Checking the ordered pair (-2, 9)

substituting x = -2 and y = 9 in the equation

y = -2x + 5

9 = -2(-2) + 5

9 = 4 + 5

9 = 9

TRUE!

L.H.S = R.H.S

Thus, the ordered pair (-2, 9) is a solution of the equation.

Conclusion:

Only (-2, 9) is the solution of the equation.

Hence, option 'b' is correct.

Answer:

1. sqrt of 7, sqrt of 22, 5

2. 2, sqrt 8, 3, sqrt 10

3. 2.5, sqrt 9, pi

4. pi, sqrt 10, 3.5

Step-by-step explanation:

Answer:

let remaining angle in heptagon be a.

a+64=180(linear pair)

a=116

again

x+155+90+163+a+121°=720(sum of interior angle of hexagon is (6-2)×180°)

x+529+a=720

x+116=720-529

x=191-116=75

Answer:

Option 2 (N= 27 )

Hope it helps!

Please mark as brainliest :D