find the area of the shape

Answer: speed of train = 94.53 km/h

Speed of car = 59.98 km/h

Step-by-step explanation:

Let x = speed of the train

Let y = speed of the car

The total distance travelled by the man is 600 km. It takes 8 hours 40 min if he travels 320km by train and rest by car. This means that the distance travelled by car is 600 - 320 = 280km

60 minutes = 1 hour

The total time of travel = 8 + (40/60) = 8.67 hours

Total time = total distance/total speed

8.67 = 320/x + 280/y

320/x = 8.67 - 280/y

320/x = (8.67y - 280)/y

Cross multiplying, it becomes

320y = x(8.67y - 280)

y = x(8.67y - 280)/320- - - - - - - - - - -1

it would take 30min more if he travels 200km by train and rest by car. The total time would be 8.67 + 0.5 = 9.17 hours

Distance covered by the car is 600 - 200 = 400 km

Therefore,

9.17 = 200/x + 400/y

200/x = 9.17 - 400/y

200/x = (9.17y - 400)/y

Cross multiplying, it becomes

200y = x(9.17y - 400)

y = x(9.17y - 400)/200 - - - - - - - 2

Equating equation 1 to equation 2, it becomes

x(8.67y - 280)/320 = x(9.17y - 400)/200

Dividing both sides by x, it becomes

(8.67y - 280)/320 = (9.17y - 400)/200

Cross multiplying, it becomes

200(8.67y - 280) = 320(9.17y - 400)

1734y - 56000 = 2934.4y - 128000

2934.4y - 1734y = - 56000 + 128000

1200.4y = 72000

y = 72000/1200.4

y = 59.98 km/h

Substituting y = 59.98 into equation 1, it becomes

59.98 = x(8.67 × 52.98 - 280)/320

52.98 × 320 = x(459.3366 - 280)

16953.36 = 179.3366x

x = 16953.36/179.3366

x = 94.53 km/h

Answer:

Go to google and write how to find a volume of a prism

Step-by-step explanation:

By the way what i am going to say is a small tip you can use

Go to google write ( quizlet) and you can write the name of your book the volume and the chapter rand the lesson believe me you will find what you want

If you didn't find the answers you can talk with me so i can give other programs because i have want to help you

Using the law of sins:

B =sin^−1((sin(A)⋅a)/b) = sin^−1((sin(65)⋅110)/155)=40.03 degrees

B= 40.03 degrees (round as needed)

Answer:

B, C, and F

Step-by-step explanation:

y = 1/2x

y = 1/2(4)

y = 2

y = 1/2x

y = 1/2(-2)

y = -1

y = 1/2x

y = 1/2(2)

y = 1

Answer:

12.5% increase

Step-by-step explanation:

Take the new price minus the original

36000-32000 = 4000

Divide by the original

4000/32000 = .125

Multiply by 100%

.125*100%

12.5% increase

Answer:

12.5%

Step-by-step explanation:

There is an 1/8 increase and 1/8 as a percent is 12/5%

Answer:

A: (0,5)

F(10,0)

Step-by-step explanation:

Y=5-1/2x

Substitute the point into the equation and see if it is true

A: (0,5)

5 = 5 - 1/2(0)  

5=5  true   on the line

B (0,10)

10 = 5 - 1/2(0)  

10=5  false    not on the line

C(1,2)

2 = 5 - 1/2(1)  

2=4 1/2  false    not on the line

D(1,4)

4 = 5 - 1/2(1)  

4=4 1/2  false    not on the line

E(5,0)

0 = 5 - 1/2(5)  

0=2 1/2  false    not on the line

F(10,0)

0 = 5 - 1/2(10)  

0=5-5  true     on the line

Answer:

J ) j = - 3,

K ) h = 9,

M ) d = - 24,

N ) x = 1 / 2

Step-by-step explanation:

J )

[tex]4(1-2j) = 7(2j + 10),\\4-8j=14j+70,\\-8j=14j+66,\\\\-22j=66,\\j = - 3,\\\\Solution, j = - 3[/tex]

I applied the distributive property, resulting in the second step. Afterwards I subtracted 4 from either side of the equation, received - 22j = 66 after combining like terms, and divided - 22 on either side to get j = -3.

K )

[tex]4 / 3h = 12,\\4h = 36,\\h = 36 / 4 = 9\\\\Solution, h = 9[/tex]

Multiplying each end of the equation by 3 resulted in the simplified expression 4h = 36. Dividing either side by 4, I got h = 9.

M )

[tex]d / 4 - d / 3 = 2,\\3d - 4d = 24,\\- d = 24,\\\\Solution, d = - 24[/tex]

Taking the LCM of 4 and 3, I got 12, multiplying either side by 12 / 12. Combining like terms and dividing - 1 on either side of the equation - d = 24, I received d = - 24.

N )

[tex]7 = - 2 * ( - 3 - x ),\\- 3 - x = - 7 / 2,\\- x = - 1 / 2,\\\\Solution, x = 1 / 2[/tex]

After dividing the first equation by - 2 on each end, I received a simplified equation that, by adding 3 on it's part, got x to be = 1 / 2

Answer: W(P(t))

Step-by-step explanation: look at the letter infront of the ()

The waiting time for a patient is given by the expression w(p(t)).

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Answer:

Step-by-step explanation:

[tex]\sqrt{256*2*k*k} = 16k\sqrt{2} \\\sqrt{448x^{3} } = \sqrt{64*7*x*x^{2}}=8x \sqrt{7x}[/tex]

ANSWER: 0

IT IS BECAUSE THERE IS NO ORANGE FLAVOURED SWEET.

= 0/20 = 0

Answer:

168

Step-by-step explanation:

28% = 28/100

28/100 * 600 = 168

Answer:

5m^5 + 15m⁴ + 35m³

Step-by-step explanation:

GCF means greatest common factor.

The Greatest common factor of two monomials for example, is the product of the common prime factors of both monomials.

We are to develop a trinomial which would have 5m³ as its greatest common factor.

To Create a trinomial where the GCF of the trinomial is 5m³, we would find a trinomial that can't be factored and multiply it by 5m³.

A trinomial is a polynomial which has three terms (monomials) connected by addition or subtraction.

Let's consider the trinomial m² + 3m + 7

This trinomial cannot be factored because there are no common factors between them. The constants to be considered are 3 and 7.

3 is a prime number and therefore can only be factored to 1 and 3.

7 is a prime number and therefore can only be factored to 1 and 7.

Since there are no common factors other than 1, the constants cannot be factored.

By multiplying 5m³ with the trinomial m² + 3m + 7

We would have:

5m³ (m² + 3m + 7) = 5m^5 + 15m⁴ + 35m³

From the above, the trinomial where the GCF of the trinomial is 5m³ = 5m^5 + 15m⁴ + 35m³

Answer:

True

Step-by-step explanation:

The corresponding sides are proportional if they have the same ratio. The statement is true.

Answer:

true

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let x be the number of students that like both algebra and geometry. Then:

1. 45-x is the number of students that like only algebra;

2. 53-x is the number of students that like only geometry.

You know that 6 students do not like any subject at all and there are 75 students in total.

If you add the number of students that like both subjects, the number of students that like only one subject and the number of students that do not like any subject, you get 75.

Therefore,

[tex]x+45-x+53-x+6=75.[/tex]

Solve this equation:

[tex]104-x=75,\\\\x=104-75,\\\\x=29.[/tex]

You get that:

29 students like both subjects;

45-29=16 students like only algebra;

53-29=24 students like only geometry;

24+6=30 students do not like algebra;

16+6=22 students do not like geometry.

a = 29, b = 16, c = 24, d = 30, e = 22

Answer:

The answer is D.

Step-by-step explanation:

Answer:

145.8

Step-by-step explanation:

200 times .9 times .9 times .9

Because it is 3 years

Answer:

$266.20

Step-by-step explanation:

o=200

r=.1

t=3

w=200(1+.1)^3

w=200(1.331)=266.2

Answer:

Volume: 105 cubic centimeters

Mass of doorstop: 924 grams

Step-by-step explanation:

First, you need to find the area of the triangular base of the prism. The area of the triangle is bh/2=10*6/2=30 square centimeters. Multiplying this by the height of the doorstop of 3.5, you get a total volume of 105 cubic centimeters. Since each cubic centimeter weighs 8.8 grams, the whole thing weighs 105*8.8=924 grams. Hope this helps!

Answer:

volume 105 cm³

mass 924 g

Step-by-step explanation:

This is triangular prism so (Volume) V = (Area of base) B * (Height) H

In this case is triangle is the base shape with base b =10cm and height h= 6cm so

B =1/2 bh = 1/2 *10*6 =30 cm²

(Height) H = 3.5 cm

so V = 30*3.5 = 105 cm³

1 cm³ has a mass ≈ 8.8g

so the mass of the doorstop is volume * mass per cm³

105 * 8.8 = 924 g

Answer:

1 = 2.50

2 = 5

3 = 7.50

4 = 10

5 = 12.50

6 = 15

Step-by-step explanation:

1 x 2.50 = 2.50

2 x 2.50 = 5

3 x 2.50 = 7.50

4 x 2.50 = 10

5 x 2.50 = 12.50

6 x 2.50 = 15

Have a good day. :)

Hope this helps!

(brainliest would be appreciated)

Answer:Sorry but I know only this much...

Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me....

Answer:

192π^3

Step-by-step explanation:

the formula for calculating volume of a cylinder is πr^2h (r : radius, h : height)

π×4^2×12 = 192π^3

Answer:

(x-2) (x+2)

I'll explain in comments if you need

Answer:

Step-by-step explanation:

Answer:

The answer is A.

Step-by-step explanation:

Realize that the red graph is simply the blue graph shifted downwards. Hence, we simply need to subtract the units shifted from the original equation.

We see that the red graph shifted downwards by 3 units. Thus, we simply need to subtract three from the original equation.

Thus we have:

[tex](4-x^2)-3[/tex]

Which gives:

[tex]1-x^2[/tex]

Here, 1 is also the y-intercept, verifying our answer.

Answer: y=8x+6

Step-by-step explanation:

The equation for a line is y=mx+b, where m is your slope and b is the y intercept of the line. Hope this helps!

Answer:

2 & 3

Step-by-step explanation:

Pythagorean Theorem is [tex]a^2+b^2=c^2[/tex].

If the values given in each option satisfy the theorem, the sides will make a right triangle.

[tex]4^2+6^2=8^2\\=> 4^2=16\\=> 6^2=36\\=>8^2 =64\\16+36=64\\\boxed{52\neq 64}[/tex]

The sides would not make a right triangle.

[tex]6^2+8^2=10^2\\=> 6^2 = 36\\=> 8^2=64\\=> 10^2=100\\36+64=100\\\boxed{100=100}[/tex]

The sides would make a right triangle.

[tex]5^2+6^2=\sqrt{61}^2\\ => 5^2=25\\=>6^2=36\\=>\sqrt{61}^2=61\\ 25+36=61\\\boxed {61=61}[/tex]

The sides would make a right triangle.

[tex]6^2+9^2=12^2\\=> 6^2=36\\=>9^2=81\\=>12^2=144\\36+81=144\\\boxed{117\neq 144}[/tex]

The sides would not make a right triangle.

The correct answer should be options two and three.

Answer:

option c is the correct.

Step-by-step explanation:

[tex]\frac{2x^4*6x^2}{3x^2}[/tex]

by using the laws of exponent

a^m×a^n=a^m+n

12x^4+2/3x²

[tex]\frac{12x^4}{3x^3}[/tex]

4x^4-3

4x³

Answer:

4x^3

Step-by-step explanation:

In the numerator, (top part) we have 2x^4 times 6x^2

2 times 6 is 12, and x^4 times x^2 is x^6.

Thus, in the top part, we have 12 times x^6.

In the bottom part we have 3 times x^3.

This is exactly the answer for d, but this is not a simplified answer.

Dividing 12 by 3 we have 4, and x^6/x^3 gives us x^(6-3) which is x^3.

Therefore, we have the correct answer: 4x^3

Answer:

x³ - 2x² - 63x

Step-by-step explanation:

Zeroes = 9 , 0 , -7

Factors = (x - 9) x (x + 7)

Polynomial = x (x - 9)(x + 7)

Polynomial = x (x² -2x - 63)

= x³ - 2x² - 63x

Answer:

1900 ≥50 + .40 * b

1900 ≥50 + .40 *4100

Step-by-step explanation:

Cost = rush fee + cost per brochure * number of brochures

 cost= 50 + .40 * b where b is the number of brochures

This must be less than or equal to 1900 dollars

1900 ≥50 + .40 * b

We are getting 4100 brochures

1900 ≥50 + .40 *4100

1900≥50 + 1640

1900 ≥1690

We can get the brochures

Answer:

It has the same slope and a different y-intercept

Step-by-step explanation:

Y + 11 = -(x-18)

Y + 11 = -x + 18

Y = -x +7

thus it has a slope of -g too but y-intercept was 7 instead of 13

Answer:

It is the third one

Step-by-step explanation

3 times 3 equals 9.

By solving Power equation, answer of the equation [tex]\frac{(3x)^2x^4y}{x^5}[/tex] is 9xy³.

The power is "a number says how many times to use the number in a multiplication".

According to the question,

[tex]\frac{(3x)^2x^4y}{x^5}[/tex]  = [tex]\frac{9x^2y^2x^4y}{x^5}[/tex]    [using power equation]

            = 9xy².

Hence, By solving Power equation answer of the equation [tex]\frac{(3x)^2x^4y}{x^5}[/tex] is 9xy³

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Answer:

The answer is A.

Step-by-step explanation:

As you multiply first equation by -5, you will get the coefficient of x is -5. So when both equations add up, you will eliminate x variable as -5 + 5 = 0, leaving y variable for the solutions.

Answer:

A.

Step-by-step explanation:

If we multiply the first equation by -5 we'll get -5x.

Then on adding the x terms are eliminated.

Answer:

x=44

Step-by-step explanation:

For the two lines to be parallel, the two angles have to add to 180 degrees

45+3x+3 =180

Combine like terms

3x+48 = 180

Subtract 48 from each side

3x+48-48=180-48

3x=132

Divide each side by 3

3x/3 = 132/3

x =44