37.
An express train travelled at a certain average speed from Town X to Town Y which was
150 km away. It then continued its journey to Town Z at an average speed 20 km/h faster than
its initial average speed. Town Ywas 200 km from Town Z. If it took the same time to travel for
both parts of the journey, what was the train's average speed for the first part of the journey?​

Answer:

Antonio's work is correct but his method is not

Step-by-step explanation:

(57–8+5)÷9(17–14) = (49+5)÷9

Antonio work:

Step 1 = (49+5)÷27

Step 2 = 54÷27

Step 3 = 2

Correct working:

Step 1:

Addition first

-8 + 5 = -3

= (57 - 3) ÷ 9(3)

Step 2:

= 54 ÷ 27

Step 3:

= 2

Antonio's work is correct but his method is not

He subtracted first when he is supposed to add first according to the rule of BODMAS

B - bracket

O - off

D - division

M - multiplication

A - Addition

S - subtraction

Answer:

One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.

Step-by-step explanation:

That's how I do it.

Answer:

x = -20

Step-by-step explanation:

3/4x - 4 = -19

multiply by 4 to eliminate denominator

3x - 16 = -76

3x = -60

x = -20

Answer:

10 quarts

Step-by-step explanation:

Answer: 36

Step-by-step explanation:

From the question, we are informed that for every 4 silver cars that are sold, 6 red cards are also sold.

When there are 90 cars sold in a month, the number of silver cars that were sold would be:

= [4 / (4 + 6)] × 90

= 4/10 × 90

= 4 × 9

= 36 silver cars

Answer:

Value after:

7 years = $9971.42

8 years = $8176.56

9 years = $6704.78

Rate of decay = 18%

Step-by-step explanation:

A $40,000 car depreciates in value about 18% per year for the life of the car.

Determine the value of the car after 7,8, and 9 years. What is the rate of decay?

The formula for Depreciation is

FV = PV( 1 - r)^t

Where

FV = Future value

PV = Present value = $40,000

r = Depreciation rate = 18% = 0.18

t = time in years

a) After 7 years

$40,000 (1 - 0.18)⁷

= $9971.4188227

= $9971.42

b) After 8 years

$40,000 (1 - 0.18)⁸

= $8176.5634346

= $8176.56

c) After 9 years

$40,000 (1 - 0.18)⁹

= $6704.7820164

≈ $6704.78

= $9971.42

The Rate of decay = 18%

Answer:105

Step-by-step explanation:

Answer:

I'm not honestly for sure but i'm guessing the side G, J because it is the longest!

Hope this helps,

0Drink0Milk0

it is Gj your welcome it has to be

Answer:

129.4

Step-by-step explanation:

Calculation for what's the total length from the front of the first bus to the end of the last

First step is to multiply the given number of buses by the length of each one

Hence,

12.6 meters x 9 = 113.4 meters

Second step

Since there are 8 spaces in between we would multiply the 8 spaces by 2 meters

8 x 2 meters = 16

Now let calculate total length from the front of the first bus to the end of the last

16 + 113.4 meters =129.4

Therefore total length from the front of the first bus to the end of the last will be 129.4

Answer: Option A.

Step-by-step explanation:

Simplifying

xy + -9z = 4

Solving

xy + -9z = 4

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '9z' to each side of the equation.

xy + -9z + 9z = 4 + 9z

Combine like terms: -9z + 9z = 0

xy + 0 = 4 + 9z

xy = 4 + 9z

Divide each side by 'y'.

x = 4y-1 + 9y-1z

Simplifying

x = 4y-1 + 9y-1z

Answer:

Ans C

m=4/5

X1= -7

Y1 = 9

Y-Y1=m(X-X1)

Y-9=4/5(X-(-7))

Y-9=4/5(X+7)

Answer:

2) A

3) A

Step-by-step explanation:

2:

3y + 4x = 15

(divide 15 by 3 to get y by itself... then subtract 4 to the side with 15 so you have the proper equation)

y = 5 - 4x (when you graph it, the y intercept is 5)

3:

since x = -4y  ... you substitute that into the second equation

-4y + 5y = 2

then solve for y

y = 2

so now you substitute y into the first line

x = -4(2)

x = -8

Answer:

52.5

Step-by-step explanation:

WX curve is 105 degrees

so to find WYX, you need to divide the WX curve by 2:

105 / 2 = 52.5 degrees

I think this is right, I have not done this in years so I am rusty at this

Answer:

3600 tickets were sold for the musical performance.

Step-by-step explanation:

Given that:

Number of people seated for musical performance = 108

Percent to people to arrive yet = 97%

It means that the people who have already come are 3%.

Let,

x be the number of tickets sold.

3% of x = 108

[tex]\frac{3}{100}x=108\\[/tex]

0.03x = 108

Dividing both sides by 0.03

[tex]\frac{0.03x}{0.03}=\frac{108}{0.03}\\x=3600[/tex]

Hence,

3600 tickets were sold for the musical performance.

Answer:

120°

Step-by-step explanation:

∠A+∠C = 180°

Or, 60° +∠C = 180°

Therefore, ∠C = 120°

Answer:

120

Step-by-step explanation:

hope that helps

Answer:

2/5

Step-by-step explanation:

First, we substract the y variables.

y - 2 - y - 3 = 1

2(1) = 2

Then we subtract the bottom numbers.

5-2 = 3

The answer is 2/5

Answer:

y = 4

Step-by-step explanation:

Answer:

m< 3 = 180 - 93

m< 3 = 87 degrees

m< 4 = 180 - 87 - 49

m< 4 = 44 degrees

m< 2 is vertically opposite to the 49 degree angle given

m< 2 = 49 degrees

m< 1 = 180- 68 - 49

m< 1 = 63 degrees

The measure of each missing angle are; m< 1 = 63, m< 2 = 49, m< 3 = 87 and m< 4 = 44 degrees

The vertically opposite angles are those angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.

We can determine angle 3 as;

m< 3 = 180 - 93

m< 3 = 87 degrees

Also,

m< 4 = 180 - 87 - 49

m< 4 = 44 degrees

We can see that m< 2 is equal to 49-degree angle by a vertically opposite angle.

m< 2 = 49 degrees

m< 1 = 180- 68 - 49

m< 1 = 63 degrees

Hence, the measure of each missing angle are; m< 1 = 63, m< 2 = 49, m< 3 = 87 and m< 4 = 44 degrees

Learn more about vertically opposite angles;

https://brainly.com/question/18045519

#SPJ2

Answer:

3. (-1 , 3) , 4

4. (0 , -7), 8

Step-by-step explanation:

circle: (x-h)² + (y-k)² = r²

3. x²+2x+y²-6y-6 =0

  (x²+2x+1) + (y²-6y+9) -16 =0

  (x+1)² + (y-3)² = 4²

center(-1 , 3)      radius: 4

4. x²+y²+14y-15=0

   (x+0)² + (y²+14y+7²) - 64 = 0

   (x+0)² + (y+7)² = 8²

center: (0 , -7)     radius: 8

Answer:

3. Center = (-1,3)   Radius = 4

4. Center = (0,-7)   Radius = 8

use completion of squares to find the solution, if you do not understand what this means, there is a great video on utube by the channel Prep Expert that explains finding the center of a circle based on an equation.

Answer:

A

Step-by-step explanation:

Answer:

The mean for brand B is lower than the mean for brand A.

Step-by-step explanation:

Test appoved

Step-by-step explanation:

[tex]13 \frac{3}{4 } + x = 7 \frac{1}{4} [/tex]

[tex] \frac{55}{4} + x = \frac{29}{4} [/tex]

[tex]x = \frac{29}{4} - \frac{55}{4} [/tex]

[tex]x = - \frac{13}{2} [/tex]

Answer:

(x, y) ----> (x - 2, y + 2.5)

This is the rule because a letter with an apostrophe is the image after. If it has no apostophre, it is the PRE-IMAGE. Let's look at C.

C (4, -5)

C'(2, -2.5)

4-2 = 2

-5+2.5 = -2.5

Since those are the coordinates of C', that is your rule.

Answer:

.032 .302 .32  2.03  2.30

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Using PEMDAS:

We can evaluate 7 + 2 × 4 - 8 - 4.

Start with multiplication:

Now we can add and subtract from left to right.

The answer to this problem is 3.

Answer:

Step-by-step explanation:

here because its an expression you use bodmas then you take 7+2= 9 take  9 times 4 = 36 take 36 minus 8 = 28 take 28 minus 4 = 24 this is the answer

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

f(x) = (x-5)²+1

put x = 2

f(2) = (2-5)²+1 = (-3)²+1 = 9+1 = 10

put x = 3

f(3) = (3-5)²+1 = (-2)²+1 = 4+1 = 5

put x = 4

f(4) = (4-5)²+1 = (-1)²+1 = 1+1 = 2

put x = 5

f(5) = (5-5)²+1 = (0)²+1 = 0 + 1 = 1

put x = 6

f(5) = (6-5)²+1 = (1)²+1 = 1 + 1 = 2

Thus, the table wil be completed as:

x           2         3       4         5        6

f(x)         10        5       2         1        2

Please check the attached figure for the plotting graph.  

Answer:

He is correct^^^^^^

Step-by-step explanation:

just took the test

Answer:

The answer is A = 14 B = 4  14 - 4 = 10 I think.

Step-by-step explanation:

It's not a sum its a difference because this is a subtraction problem I think.

Answer:

168*pi square yards.

Step-by-step explanation:

So, first the surface area of a cylinder is the sum of the two circles plus the rectangle forming the column.

The area of the column is the height x perimeter of the circle

and

The area of the circles is pi x radius^2

Just add all of those up.

Column: 5 * 2 * pi * 7 = height * 2pi * radius = 70*pi

2 x Circle = 2 x pi * 7^2 = 2x49*pi = 98*pi

Sum: 70*pi + 98*pi = 168* pi

Answer:

I personally think the third one

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

[tex]-2\sqrt{6x+3} = -18[/tex]

divide both sides by negative 2

[tex]\sqrt{6x+3} = 9[/tex]

square both sides

6x+3=81

6x=78

x=12