Two​ trains, Train A and Train​ B, weigh a total of 421 tons. Train A is heavier than Train B. The difference of their weights is 401 tons. What is the weight of each​ train?

Answer:

16.75-6.03

1.72+9

6.53+4.19

Step-by-step explanation:

4.19 + 6.53 = 10.72

The expressions that is equal to 10.72 can be calculated as follows

4.2 +6.5 = 10.7

16.75-6.03 = 10.72

1.72 + 9= 10.72

15-4.38= 10.62

6.53 + 4.19= 10.72

Hence the expressions which is equal to 10.72 are

16.75-6.03 , 1.72+9 , 6.53+4.19

Answer:

the slope is 10 dollars times how many ever shirts

the y-intercept is the design put on the shirt which costs 25

Answer:

(1/2)(x + 4 + 100) = 3x

x + 104 = 6x

5x = 104, so x = 20.8

Answer:

\(y = 9x - 2x \\ y = (9 -2)x \\ y = 7x \\ \boxed{ x = \frac{y}{7} }\)

The equations that break the target are  x = 1, y = x + 5 and x = 4

There are 6 non collinear points

This means that there are at least three equations that can pass through the points

One of these equations is a vertical line that passes through x = 1

So, the equation is x = 1

The second equation passes through (-1, 4) and (0, 5)

The difference between the coordinates of these points is 5

So, the equation i

y - x = 5

y = x + 5

Lastly, we have a vertical line that passes through x = 4

So, the equation is x = 4

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No, the expression (x^3 - 1) / (x^2 - 1) does not simplify to x.

To simplify the expression, let's first factorize both the numerator and denominator.

The numerator can be factorized using the difference of cubes formula: a^3 - b^3 = (a - b)(a^2 + ab + b^2). So, we have (x^3 - 1) = (x - 1)(x^2 + x + 1).

The denominator is a difference of squares: a^2 - b^2 = (a - b)(a + b). Therefore, (x^2 - 1) = (x - 1)(x + 1).

Now, we can simplify the expression by canceling out the common factors in the numerator and denominator:

[(x - 1)(x^2 + x + 1)] / [(x - 1)(x + 1)]

The (x - 1) terms cancel out, leaving us with:

x^2 + x + 1 / (x + 1)

So, the simplified form of the expression is (x^2 + x + 1) / (x + 1), which is not equal to x.

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As the base of the pyramid is a equilateral triangle the surface are is given by the next formula:

According to the unitary method,

A) The time taken for Peter to finish the job alone is 4 hours, 48 minutes.

B) The time taken for Emily and Peter to finish the job together is 2 hours, 36 minutes.

Unitary method:

In math, unitary method refers the process of finding the value of a single unit, and based on this value.

Given,

Emily, Ashley and Peter can clean a warehouse in 2 hours. If Emily does the job alone, she can finish it in 6 hours. If Ashley does the job alone she can finish it in 8 hours.

Here we need to find the following:

A) The time take for Peter to finish the job alone

B) The time taken for Emily and Peter to finish the job together

Let us consider x be the time taken for Peter to finish the job alone.

So, based on the given question we can write it as,

=> 1/6 + 1/8 + 1/x = 1/2

=> (8 + 6)/48 + 1/x = 1/2

=> 14/48 + 1/x = 1/2

=> 7/24 + 1/x = 1/2

=> 1/x = 1/2 - 7/24

=> 1/x = 12 -7/24

=> 1/x = 5/24

=> x = 24/5

=> x = 4.8

So, the time taken for Peter to finish the job alone is 4 hours, 48 minutes.

Then the time taken for Emily and Peter to finish the job together is calculated as,

=> 5/24 + 1/6

=> 5 + 4/ 24

=> 9/24

=> 3/8

Therefore, the time taken for Emily and Peter to finish the job together 2 hours, 36 minutes.

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Answer:

6 feet per minute.

Step-by-step explanation:

The turtle and snail are moving towards each other, so their speeds add up. Therefore, the combined speed at which they approach each other is:

5 feet/min (turtle's speed) + 1 feet/min (snail's speed) = 6 feet/min

Therefore, the turtle and snail are approaching each other at a speed of 6 feet per minute.

Answer:

6 feet per minute.

Answer:

The value of x is 15 cm

Step-by-step explanation:

#(d)

In Δ BDC

∵ ∠D is a right angle

∴ BC is the hypotenuse

∴ BD and DC are the legs of the right angle

→ By using Pythagoras Theorem

∵ (BC)² = (BD)² + (DC)²

∵ BD = 10 cm

∵ DC = 2√11 cm

→ Substitute them in the equation above

∴ (BC)² = (10)² +(2√11)² = 100 + 44 = 144

→ Take √  for both sides

∴ BC = 12 cm

In Δ ABC

∵ ∠B is a right angle

∴ AC is the hypotenuse

∴ AB and BC are the legs of the right angle

→ By using Pythagoras Theorem

∵ (AC)² = (AB)² + (BC)²

∵ AB = 9 cm

∵ BC = 12 cm

∵ AC = x

→ Substitute them in the equation above

∴ x² = (9)² +(12)² = 81 + 144 = 225

→ Take √  for both sides

∴ x = 15 cm

∴ The value of x is 15 cm

Answer: x = √-6 - 4

Step-by-step explanation:

x^2+8x+22=0

(x+4)^2 - 16 + 22 = 0

(x+4)^2 + 6 = 0

(x+4)^2 = -6

√(x+4)^2 = √-6

x = √-6 - 4            

√6 = 2.449

Answer: Graph A

Step-by-step explanation:

Graph A. If you find the y-intercept by plugging in 0 for x, you get 2.5 = y, so therefore graph A is correct.

Answer:

Answer

2

muddassirmkhan95

Beginner

5 answers

97 people helped

Answer:

Single Equivalent Discount % on final price  = 41.58%

Explanation:

The grill was initially priced at $769.99 and was discounted to $550.54 which is 28.5% ((550.54/769.99)-1)*100

and then further discounted by 18.3% ((449.79/550.54)-1)*100 to $449.79.

but if we want to get the single discount rate for $449.79 (final price), we have to compare it with very first original price of $769.99 so the formula will be:

((449.79/769.99)-1)*100 = 41.58% which shows the actual discount % versus the original price of the grill.  

Step-by-step explanation:

Step-by-step explanation:

X+y+4z=2

X+y+x=4-2

X+y+z=2

Answer:D

Step-by-step explanation: x-coordinate is same ( from picture), but height is different(y)

Answer:

OPTION D.

Step-by-step explanation:

Given:-

An image of house in the graph.

To find which option is correct.

So here we can notice that the roof top and the right side of the door is on a same straight line.

And it lies in the first co-ordinate.

So in the first coordinate in a straight line the value of x is always the same and only the value of y increase or decrease.

So here the correct option is OPTION D.





No, what they said is not fact.

The statement "producing great engineers who benefit science and technology in India is the most important function of IITs" and "IITs are greatly improving the image of India in the West" are both important functions of IITs, and the priority of these functions may depend on individual perspectives and goals.

Some people might argue that producing engineers is more crucial for the development of India's technology and economy, while others might argue that improving the image of India in the West is equally important for increasing its global recognition and competitiveness. Both functions play important roles and it is a matter of perspective which one is considered more important.

Correct Question :

Jai: IITs are producing great engineers, who ultimately end up benefiting science and technology in India, but more important is the fact that they are greatly improving the image of India in the west

Vijay: No, you're mistaken. Producing great engineers who benefit science and technology in India is the most important function of IITs. Without IITs, most of our software industry wouldn't have existed.

What they said is fact or not? Explain.

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The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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Let's write the following number into a fraction:

Since 1000 has 3 zeros, we will be putting the decimal point 3 steps from right to left of 5,792.

We get,

Therefore, 5792/1000 will be written as 5.792 in decimal form.

The answer is 5.792

Answer: y=2x+4

Step-by-step explanation:

From the graph, we already know what the y-intercept is. The line crosses the y-axis at (0,4). Therefore, 4 is our y-intercept.

For the slope, we can take any 2 points on the graph and then use the formula \(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\) to find slope. Let's use (1,6) and (2,8).

\(m=\frac{8-6}{2-1}=\frac{2}{1} =2\)

Now that we know the slope, we can fill in our slope-intercept equation.

y=2x+4

Answer:

100

Step-by-step explanation:

total angles of any triangle is 180

it tells you one of the base angles is 40, so 2 of them are 80

so the top one is 180-80 =100

The statement that describes the distribution based on the given information is:

A) The distribution is approximately Normal, with a mean of 128 messages and a standard deviation of 98 messages.

The graph shows a normal distribution, as indicated by the shape of the curve. The highest point of the curve (the peak) is at 128, which represents the mean of the distribution.

The standard deviation measures the spread of the data, and based on the information given, it is 98. Therefore, option A accurately describes the distribution.

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Answer:

Step-by-step explanation:

Sale price = 80% of $10 = 0.80×$10 = $8

price + tax = 1.085×$8 = $8.68

Answer:

$8.00

Step-by-step explanation:

i did the math

What is a Right Angle Triangle?

A Right Angle Triangle is a triangle where one of the angles is equal to 90 degrees.

To calculate the values using SOHCAHTOA

 SOHCAHTOA calculate the angles and sides of the right triangle, using trigonometric function sine, cosine, and tangent. There are two triangles in which the adjacent and opposite changes based on which angle is in question, the hypotenuse always stays the same.

Where Sin A = Opposite/ Hypotenuse

            Cos A = Adjacent / Hypotenuse

   And  Tan A = Opposite / Adjacent

For question 1,

If Opposite = PR

Adjacent = PQ

Hypotenuse = QR

Sin A = 14/50

Cos A = 48/50

Tan A = 14/48

For question 2,

If Opposite = PQ

Adjacent = PR

Hypotenuse = QR

Sin A = 48/50

Cos A = 14/50

Tan A = 48/14

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Step-by-step explanation:

The probability of selecting a defective watch is 400/10,000 = 2/50.

The probability of selecting 50 defective watches out of 100 selected is given by the binomial distribution:

(100 choose 50) * (2/50)^50 * (1/2)^(100-50) = 0.072.

So the probability that exactly 50 out of 100 selected watches are defective is approximately 0.072.

The numbers 0, 1, and -1 are zeros of multiplicity 1.

What is quadratic equation?

it's a second-degree quadratic equation which is an algebraic equation in x. Ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the quadratic equation in its standard form. A non-zero term (a 0) for the coefficient of x2 is a prerequisite for an equation to be a quadratic equation. The x2 term is written first, then the x term, and finally the constant term is written when constructing a quadratic equation in standard form. In most cases, the numerical values of letters a, b, and c are expressed as integral values rather than fractions or decimals.

To find the zeros of the function \(y=7x^3-7x\), we can set y equal to zero and solve for x:

\(7x^3 - 7x = 0\)

Factor out 7x:

\(7x(x^2 - 1) = 0\)

Factor the quadratic expression:

7x(x - 1)(x + 1) = 0

The zeros of the function are the values of x that make y equal to zero. From the factored expression, we see that the zeros are:

x = 0 (with multiplicity 1)

x = 1 (with multiplicity 1)

x = -1 (with multiplicity 1)

Therefore, the correct choice is: The numbers 0, 1, and -1 are zeros of multiplicity 1.

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Answer:

2

Step-by-step explanation:

A number is divisible by 3 if the sum of the digits of the number is divisible by 3.

So, first add all the digits in the number and check if it's in the table of 3 then add which number is missing

Answer:

49.5 miles per hour

Step-by-step explanation:

495÷10=49.5miles per hour

After the collision, cart a moves in the negative x direction with a speed of 4 m/s, and cart b moves in the positive x direction with a speed of 2 m/s.

In a perfectly elastic collision, the total momentum of the system is conserved, as well as the total kinetic energy. This means that the sum of the momenta of the carts before the collision is equal to the sum of the momenta after the collision. In this case, since cart b is initially at rest, its initial momentum is zero.

We can use conservation of momentum to determine the final velocities of the carts. Let the velocity of cart b after the collision be v, then the velocity of cart a after the collision is -4 m/s. The momentum of cart a before the collision is m(4 m/s) = 4m, and the momentum of cart b after the collision is 3mv.

Using conservation of momentum, we have:

m(4 m/s) + 0 = m(-4 m/s) + 3mv

Simplifying this equation, we get:

8m = 3mv + 4m

Dividing both sides by 3m, we get:

v = (8/3) - (4/3)v

Solving for v, we get:

v = 2 m/s

So after the collision, cart a moves in the negative x direction with a speed of 4 m/s, and cart b moves in the positive x direction with a speed of 2 m/s. We can verify that this satisfies conservation of momentum:

m(4 m/s) + 0 = m(-4 m/s) + 3m(2 m/s)

4m = 4m

This result shows that in a perfectly elastic collision, even though the carts exchange momentum, the total momentum of the system is conserved.

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