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Two trains, Train A and Train B, weigh a total of 312 tons. Train A is heavier than Train B. The difference of their weights is 170. What is the weight of Train A? What is the weight of Train B?

Answer:

Step-by-step explanation:

When solving algebra, it is important the we follow the steps in correct order and check our answer at the end.

Step 1: Simplify by combining like terms

y = -x/2 + 5/4 + 8y = -25

Step 2: Substitute

y = -25

-25 = -x/2 + 5/4 + 8(-25)

-25 = -x/2 + 5/4 + -200

-25 = -x/2 - 198 3/4

Step 3: Answer

x = -347 1/2

Step 4: Check

y = 3/2x + 5/4 −2x + 8y = −25

-25 = 3/2(-347 1/2) + 5/4 −2(-347 1/2) + 8(-25)

-25 = -25✔️

Step 5: Verified Answer

x = -347 1/2

I'm always happy to help :)

Answer:

wait is that rlly u?

Step-by-step explanation:

its me ethan

Answer:

9.434 X 10^66

Step-by-step explanation:

2.34 X 10^65  +  9.2 X 10^66    (First, you have to manipulate the exponents to bring them to the same index, i.e. the same power)

We can say that 2.34 X 10^65 = 0.234 X 10^66

Now that the indexes are equivalent, we can proceed to add the two bases together.

0.234 X 10^66  +  9.2 X 10^66

= (0.234  +  9.2) X 10^66

= 9.434 X 10^66

The sum of [tex]\(2.34 \times 10^{65}\)[/tex]and [tex]\(9.2 \times 10^{66}\)[/tex] is[tex]\(9.434 \times 10^{66}\)[/tex]

When adding numbers in scientific notation, it's crucial to align their exponents. In the case of[tex]\(2.34 \times 10^{65}\)[/tex] and [tex]\(9.2 \times 10^{66}\),[/tex] they don't initially share the same exponent. To rectify this, we need to adjust the first number.

First, express[tex]\(2.34 \times 10^{65}\)[/tex]as [tex]\(0.234 \times 10^{66}\)[/tex], moving the decimal point one place to the left. Now, both numbers are in the form[tex]\(A \times 10^{66}\),[/tex]making them compatible for addition.

Next, add the coefficients:[tex]\(0.234 + 9.2 = 9.434\).[/tex]

So, the result is[tex]\(9.434 \times 10^{66}\).[/tex] This number is significantly larger than either of the original numbers. In essence, we're combining a quantity in the tens (0.234) with one in the tens of billions (9.2), resulting in a massive number in the tens of billions of billions (9.434) times 10 raised to the power of 66.

In practical terms, this means that if you were to multiply[tex]\(2.34 \times 10^{65}\)[/tex]by 10 and then add[tex]\(9.2 \times 10^{66}\)[/tex]to it, you would have [tex]\(9.434 \times 10^{66}\)[/tex] as your final answer. This demonstrates the remarkable flexibility and ease of handling extremely large numbers using scientific notation.

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Answer:

8.96 g/cm2

Step-by-step explanation:

Answer:

Answers are below

Step-by-step explanation:

       3y = 10 - x

2x + 6y = 7                 This set is correct because it is lined up correctly.

      y =  13 - 2x

4x - y = -1                    This set is also correct because it is lined up correctly.

The equations that have no solutions are:

x + 4y = 23

   - 3x = 12y +1         These equations don't touch

       3y = 10 - x

2x + 6y = 7              These equations don't touch

If these answers are correct, please make me Brainliest!

Answer:

x + 4y = 23

- 3x = 12y +1

3y = 10 - x

2x + 6y = 7

Step-by-step explanation:

Answer:

The values of the table of costs in the explanation

Step-by-step explanation:

Let

x ---->the cost of one metre of polyester fabric

y ----> the cost of one metre of cotton fabric

we know that

The ratio of the cost of one metre of polyester fabric to the cost of one metre of cotton fabric is

[tex]\frac{x}{y}=\frac{2}{7}[/tex]

Complete the table

Part 1) For 2 metres of fabric

To find out the costs multiply the ratio by the fraction 2/2

so

[tex](\frac{2}{2})\frac{2}{7}=\frac{4}{14}[/tex]

therefore

[tex]x=\£4\\y=\£14[/tex]

Part 2) For 6 metres of fabric

To find out the costs multiply the ratio by the fraction 6/6

so

[tex](\frac{6}{6})\frac{2}{7}=\frac{12}{42}[/tex]

therefore

[tex]x=\£12\\y=\£42[/tex]

Part 3) For 8 metres of fabric

To find out the costs multiply the ratio by the fraction 8/8

so

[tex](\frac{8}{8})\frac{2}{7}=\frac{16}{56}[/tex]

therefore

[tex]x=\£16\\y=\£56[/tex]

Part 4) For 9 metres of fabric

To find out the costs multiply the ratio by the fraction 9/9

so

[tex](\frac{9}{9})\frac{2}{7}=\frac{18}{63}[/tex]

therefore

[tex]x=\£18\\y=\£63[/tex]

he payed 8.10$

bobby wasted 14.4 on the red ribbon

bobby wasted 6134.4  on yellow ribbon

together he wasted 6148.8

Answer:

$ 8.1

Step-by-step explanation:

To find 4 1/2 ft of cable wire you need to find what one foot of cable wire is which is $1.80.

So now add $1.80 four times:

1.80 + 1.80 + 1.80 + 1.80 =  7.20

It will cost $7.20 for four feet of cable wire

Now you have to do a half of $ 1.80

1.8 / 2 = 0.90

Now add 7.2 and 0.90 together

7.2 + 0.9 = 8.10

So Peter would need to buy $ 8.10 of cable wire for 4 1/2 ft.

The third number line represents the  compound inequality n < –2 or n ≥ 4.

A number system is defined as a system of writing to express numbers.

The given compound inequality is n < –2 or n ≥ 4

We can use a combination of a less than (<) symbol and a greater than or equal to (≥) symbol to represent the inequality.

The third number line represents the inequality n < –2 or n ≥ 4.

The less than symbol indicates that n must be less than -2, while the greater than or equal to symbol indicates that n must be greater than or equal to 4.

The open circle at -2 indicates that n is not included in the solution set for n < -2,

The closed circle at 4 indicates that n is included in the solution set for n ≥ 4.

Hence,  third number line represents the  compound inequality n < –2 or n ≥ 4.

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Answer:

Total score = 39 points

Step-by-step explanation:

For each correct question, you get 2 points, and there are 22 correct questions, so:

22 * 2 = 44 points.

For each question left blank, you get 0 points, and there are 7 questions left blank, so:

7 * 0 = 0 points

For each incorrect question, you get -1 point, and there are 5 incorrect questions, so:

5 * (-1) = -5 points.

The total number of points is:

Score = 22*2 + 7*0 + 5*(-1) = 44 + 0 - 5 = 39 points

Final answer:

To write a polynomial f(x) with specified zeros and a value for f(0), we first express the polynomial in its factored form, then solve for the coefficient using the given f(0) value. The resulting polynomial is f(x) = -5(x + 3)^3(x - 2).

Explanation:

To write a polynomial f(x) of the lowest degree with zeros of -3 (multiplicity 3) and 2 (multiplicity 1), we use the fact that zero of multiplicity m means the factor corresponding to that zero will appear m times in the factored form of the polynomial. Given these zeros, the polynomial in its factored form is:

f(x) = a(x + 3)^3(x - 2)

We are also given that f(0) = 270. We can use this information to find the value of a:

f(0) = a(0 + 3)^3(0 - 2) = 270

a = 270 / [(-2)(3)^3]

a = 270 / (-54)

a = -5

Now we can write the polynomial with the determined value of a:

f(x) = -5(x + 3)^3(x - 2)

This is the polynomial of the lowest degree that meets the given conditions.

Answer:

180 degrees

Step-by-step explanation:

It is a half circle

Answer:

b

Step-by-step explanation:

Answer: The required probability is 0.4375.

Step-by-step explanation:

Since we have given that

Probability of having risk of heart attack = 75%= 0.75

Probability of having reliability of the stress test = 70%

Probability of not having risk of heart attack =1-0.75 = 0.25

Probability of not having reliability of the stress test = 1-0.70 = 0.30

So, the probability that James will not have a heart attack and that the test predicts he will would be :

P(not having heart attack | correct test) is given by :

[tex]=\dfrac{0.25\times 0.7}{0.25\times 0.7+0.75\times 0.3}\\\\=\dfrac{0.175}{0.175+0.225}\\\\=\dfrac{0.175}{0.4}\\\\=0.4375[/tex]

Hence, the required probability is 0.4375.

Answer:

B

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

tell me if im wrong pls

Answer:

(8r) ^ 15

Step-by-step explanation:

(8r) ^-5 ^-3

We know that a^b^c = a^ (b*c)

(8r) ^-5 ^-3 = (8r) ^ (-5*-3)  = (8r) ^ 15

Answer:

Step-by-step explanation:

I have proof! Try answer C: or :b

haha smiley face..if not...here's some memes that i hand made....

Answer:

A and D

Step-by-step explanation:

Got it right :)

Final answer:

The true statement about the new trapezoid is that the area of the new trapezoid is \(1/16\) times the area of the original trapezoid, assuming that all dimensions are scaled down by the same factor.

Explanation:

The area of a trapezoid is given by the formula: [tex]Area = \((base_1 + base_2) / 2\) * height[/tex]. For the original trapezoid with bases of 18 feet and 12 feet and a height of 4 feet, the area is [tex]\((18 + 12) / 2\) * 4 = 60[/tex] square feet. If the dimensions of the trapezoid are scaled down or up, the new height and area can be determined by using the same proportionality principle that applies to triangles. If the height is reduced by a factor of 4, which means the new height is 1 foot, then the area will also be reduced by the same factor squared (since area is a two-dimensional measure). Therefore, the new area will be 1/16 times the original area, which equals 60 / 16 = 3.75 square feet.

Answer:

if barbecue chips don't have any votes then D is the answer, if they do have votes then the answer may be A

Step-by-step explanation:

Answer:

Its barbecue crisps because no one choosed it !

Step-by-step explanation:

Answer: The Answer is B

Step-by-step explanation:

The first box has all 5's so it's just going to be a straight line.

The third box is a negative correlation because the number are going down in the right column

The fourth column doesn't make any sense because the X column has all 8's

So the answer is B.

Hope this helps : )

The table shows a positive correlation in B; The first column is labeled x with entries 1, 2, 3, 4, and 5. The second column is labeled y with entries 10, 18, 31, 37, and 52. A 2-column table with 5 rows.

The correlation of two pairs of data values tells about the degree of movement that can occur in one of the data when another data value is increased or decreased respectively.

Since it is called that the Correlation coefficient is a measure of how similar two datasets are acting.

The first box has all 5s =hence,  it's just going to be a straight line.

The third box is a negative correlation due to the number is going down in the right column

The fourth column, the X column has all 8's

Hence, the answer is B.

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(17) Find the least square number which is exactly divisible by each of the numbers

The answer is 3

(18) Find the least square number which is exactly divisible by each of the numbers

8, 12, 15 and 20.

The answer is 4

Answer:17) 5400

18)3600

Step-by-step explanation:

Answer:

-8-2m

Step-by-step explanation:

Using distributive property

Hey there! :-)

The Distributive Property states the following:

a(b+c)=ab+ac

Where we distribute a by multiplying it times b and c

Now, let's simplify our expression:

-2(4+m)

-8-2m

or

-2m-8

Hence, the final answer is

[tex]\boxed{\boxed{\bold{-2m-8}}}[/tex]

Hope everything is clear.

Let me know if you have any other queries; if so, please comment.

#LearningDoesn'tEnd

P.S. Sorry for the late response!

Answer:

first box [

4

]

second box [

  7

____

  2

]

third box[

0

]

Step-by-step explanation:

Answer:

141

Step-by-step explanation:

<1 and the angle measuring 39 degrees form a straight lines so they sum to 180 degrees.

<1 +39 = 180

Subtract 39 from each side

<1 +39-39 = 180-39

<1 = 141

Answer:

141 degrees

Step-by-step explanation:

Angle 1 is  on the straight line with 39 degree angle together would = 180

180 - 39 = 141 degrees

Answer:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The first unknown integer will be x. The second one will be y.

x^2 - xy = 100

This is the same one as

x^2 - xy - 100 = 0

Answer:

(a) There is 95% confidence that the true proportion of dog owners who greet their dogs first is between 0.475 and 0.775.

(b) The point estimate is 0.625. The margin of error is 0.15.

(c) It is plausible that the true proportion of all owners who greet their dog first is 66%.

Step-by-step explanation:

The (1 - α)% confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval. Or, the (1 - α)% confidence interval for the parameter implies that there is (1 - α)% confidence or certainty that the true parameter value is contained in the interval.

In statistic, point estimation comprises of the use of sample data to estimate a distinct data value (known as a point estimate) which is to function as a "best guess" or "best estimate" of an unidentified population parameter. The point estimate of the population mean (µ) is the sample mean ([tex]\bar x[/tex]).

The  (1 - α)% confidence interval for population proportion is:

[tex]CI=\hat p\pm z_{\alpha/2}\times \sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The margin of error for this interval is:

[tex]MOE=\frac{UL-LL}{2}[/tex]

For the hypothesis test, if the confidence interval consist of the null value of the parameter then the null hypothesis is accepted or else rejected.

The 95% confidence interval for the population proportion of owners who greet their dog first is,

CI = (0.475, 0.775)

(a)

The 95% confidence interval for the population proportion, (0.475, 0.775), implies that there is a 0.95 probability that the true proportion of dog owners who greet their dogs first is between 0.475 and 0.775.

Or, there is 95% confidence that the true proportion of dog owners who greet their dogs first is between 0.475 and 0.775.

(b)

The point estimate of the population proportion (p) is the sample mean ([tex]\hat p[/tex]).

Compute the point estimate from the 95% confidence interval as follows:

Point estimate = (UL + LL)/2

                        [tex]=\frac{0.775+0.475}{2}\\=0.625[/tex]

The point estimate is 0.625.

Compute the margin of error as follows:

[tex]MOE=\frac{UL-LL}{2}=\frac{0.775-0.475}{2}=0.15[/tex]

The margin of error is 0.15.

(c)

The hypothesis to test whether the proportion of all owners who greet their dog first is 66% is:

H₀: The proportion of all owners who greet their dog first is 66%, i.e. p = 0.66

Hₐ: The proportion of all owners who greet their dog first is not 66%, i.e. p ≠ 0.66.

The 95% confidence interval for the population proportion of owners who greet their dog first is,

CI = (0.475, 0.775)

The 95% confidence interval consists of the null value, i.e. p = 0.66.

The null hypothesis was failed to rejected.

Thus, it is plausible that the true proportion of all owners who greet their dog first is 66%.

Answer:

Step-by-step explanation:

It's A. 90% confidence that between 42.5% and 47.9% of Americans own a dog

Answer: 6 (pi)

Step-by-step explanation:

Feta/3 = (arc)/Radius

The length of arc AB is approximately 18 centimeters.

The arc length ([tex]s[/tex]) of a circle section, in centimeters, is defined by the following formula:

[tex]s = \alpha \cdot r[/tex]   (1)

Where:

If we know that [tex]\alpha = \frac{\pi}{3}\,rad[/tex] and [tex]r = 18\,cm[/tex], then the length of the arc is:

[tex]s = \frac{\pi}{3}\cdot (18\,cm)[/tex]

[tex]s \approx 18.850\,cm[/tex]

The length of arc AB is approximately 18 centimeters. [tex]\blacksquare[/tex]  

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Answer:

True

Step-by-step explanation:

If the coefficient is -1 then the variable will have a negative sign in front of it.

Example: (-x)

If the coefficient is 1 then the variable will stand alone.

Example:  (x)

Answer:

True

Step-by-step explanation:

An example of a variable "without" a coefficient is x or -x. There is no number beside x, meaning there is no visible coefficient. And when there is no visible, coefficient, the variable is multiplied by 1 or -1 (the negative sign determines whether the variable is negative or not).

Answer:

Step-by-step explanation:

5-0.5i

Answer:

5

Step-by-step explanation:

follow me if I'm right

Answer:

you are wrong genius

Step-by-step explanation:

you are wrong because you might have thought the s is a 5, but it is an s