the cost of a train ticket increases by 10% to £19.25 what was the original cost

Answer:0.0

Step-by-step explanation:

To find the most significant difference in Bella's budget, calculate the difference for each category and compare them. For Mary Ann, by subtracting her expenses from her net income of $2,589.10, we determine she can save more than 10% of her income, exceeding her savings goal.

The most significant difference between Bella's actual spending and her budget can be determined by comparing the projected expenses to the actual expenses in each category. You'll first calculate the difference for each category by subtracting the actual amount from the projected amount. These differences should be compared to determine which one is the largest. For Mary Ann's scenario, we can construct a budget table and calculate the possibility of saving 10% of her after-tax monthly income by deducting her monthly expenses from her net income. To do this, you'll start with her net monthly income and subtract each of her monthly expenses to check if there's at least 10% of her income left for savings.

If Mary Ann's net monthly income is $2,589.10, her goal is to save 10% of that amount, which would be $258.91. Once you subtract her expenses which total $2,145 (the sum of rent, cell phone, utilities, cable TV and internet, groceries, entertainment, car payment, and gasoline) from her net income, you're left with $444.10. Therefore, she can meet her savings goal since $444.10 is more than $258.91. You can use similar steps and considerations for creating and managing a budget based on the cost of living in your area.

Answer:

1,787.75

Step-by-step explanation:

The sum of the areas of the 10 rectangles gives the surface area of the cushion:

A  = 140 sq. in. + 80 sq. in. + 121 sq. in. + 2(605 sq. in.) + 22 sq. in. + 2(68.875) sq. in +19 sq. in. + 58 sq. in.

= 140 sq. in. + 80 sq. in. + 121 sq. in. + 1,210 sq. in. + 22 sq. in. + 137.75 sq. in +19 sq. in. + 58 sq. in.

= 1,787.75 sq. in.

The surface area of the cushion is 1,787.75 square inches.

Answer:

16,048 visitors per day.

Step-by-step explanation:

To solve for this answer, you will simply need to divide the total amount of visitors (48,144) by the amount of days given, which in this instance, is 3.

48,144÷3= 16,048 visitors per day.

Answer:

The total amount of fishes  caught is 414,519 fishes

Step-by-step explanation:

Here, given the percentage decrease in the population of fishes, we want to know the total amount of fishes caught by the company in the first 7 years.

First year, we have 75,000 fishes

Second year, we would have 75,000 - (8% of 75,000) = 75,000 - (0.08 × 75,000) = 75,000 - 6,000 = 69,000

Third year, we would have 69,000- (0.08 × 69,000) = 69,000 - 5520 = 63,480

Fourth year, we would have 63,480 - (0.08 × 63,480) = 58,401.6

Fifth year, we would have 58,401.6 - (0.08 × 58,401.6) = 58,401.6 - 4,672.18 = 53,729.472

Sixth year, we would have 53,729.472 - (0.08 × 53,729.472) = 53,729.472 - 4,298.3578 = 49,431.114

Seventh year, we would 49,431.114 - (0.08 × 49,431.114) = 45,476.625

The addition of all these values will give the total number of fishes caught = 75,000 + 69,000 + 63,480 + 58,401.6 + 53,729.472 + 49,431.114 + 45,476.625 = 414,518.8 = 414,519 fishes to the nearest whole number

Final answer:

Learn how to calculate the total fish caught by a fishing company over 7 years with decreasing catches.

Explanation:

A major fishing company caught 75,000 fish in the first year. Each year, the number of fish caught decreased by 8%. To find the total fish caught over 7 years:

Calculate the number of fish caught each year by multiplying the previous year's catch by (100% - 8%).

Add up the catches for 7 years.

Round the final total to the nearest whole number.

Therefore, the fishing company caught approximately X fish over the first 7 years.

Answer:c

Step-by-step explanation:

Answer: Line AE equals 14 units (approximately)

Step-by-step explanation: If you have a rhombus given, it is important to begin by highlighting the properties of a rhombus. A rhombus first of all is four-sided shape with all sides congruent, then the two opposite sides are parallel and congruent. Also, the diagonals bisect each other into two equal halves each.

Therefore, we shall examine a rhombus labelled ABCD, with side AD measuring 4x + 2, and side DC measuring 7x - 13. Then BD is a diagonal from point B to point D, and it measures 34 units. Also a diagonal is drawn halfway from point A and stops at point E (E is in the middle), where it bisects diagonal BD into two halves. Remembering that all sides of a rhombus are equal, then note that AD equals DC, that is;

4x + 2 = 7x - 13

2 + 13 = 7x - 4x

15 = 3x

Divide both sides of the equation by 3

5 = x

If AD = 4x + 2, then when x  = 5

AD = 4(5) + 2

AD = 20 + 2

AD = 22

Therefore triangle ADE can now be isolated with side AD measuring 22 units and side ED measuring 17 units (midpoint between points B and D). Line AE can be calculated using the Pythagoras theorem which states as follows;

AC² = AB² + BC²

Where AC is the hypotenuse, and AB and BC are the two other sides

Substituting for values as given in the question, we now have;

AD² = ED² + AE²

22² = 17² + AE²

484 = 289 + AE²

484 - 289 = AE²

195 = AE²

Add the square root sign to both sides of the equation

√195 = √AE²

13.96 = AE

Therefore line AE ≈ 14 units (to the nearest whole number)

Answer:

B

Step-by-step explanation:

Answer:

A. 5.3%

Step-by-step explanation:

Answer:

f(2) = 7

Step-by-step explanation:

To figure this out you just have to plug in 2 wherever x is in the equation.

f(2) = 5(2) - 3

Multiply 5 by 2

f(2) = 10 - 3

Subtract

f(2) = 7

Answer:

sin(74º) = 0.96

Step-by-step explanation:

answer is 70

When rounding to the nearest tenth like 74 we:

Round the number to the nearest tenth if the last digit of the number is 5678 or 9

Then we do the same rounding it down

Answer:

no solution

Step-by-step explanation:

–5x – 12y – 43z = –136

–4x – 14y – 52z = –146

21x + 72y + 267z = 756

Every coefficient of the second equation is a multiple of 2, so divide both sides by 2.

Every coefficient of the third equation is a multiple of 3, so divide both sides by 3.

–5x – 12y – 43z = –136

–2x – 7y – 26z = –73

 7x + 24y + 89z = 252

Let's call the above system the "simplified original system."

Using the simplified original system, multiply the first equation by -2 and the second equation by 5. Then add them.

         10x + 24y + 86z = 272

(+)      -10x - 35x - 130z = 365

------------------------------------------

                  -11y - 44z = 637

Now we have an equation with only y and z.

Now, using the simplified original system, multiply the second equation by 7 and the third equation by 2. Then add them.

       –14x – 49y – 182z = –511

(+)       14x + 48y + 178z = 504

-------------------------------------------

                    -y - 4z = -7

Now we have a system in 2 unknowns, y and z.

-11y - 44z = 637

-y - 4z = -7

Multiply the second equation by -11 and add to the first equation.

     -11y - 44z = 637

(+)     11y + 44z = 77

-----------------------------

                0 = 714

Since 0 = 714 is false, this system has no solution.

Answer:

x =11.17741935 gallons

Step-by-step explanation:

We can use a ratio to solve

62 miles    231 miles

---------     = -----------

3 gallons      x gallons

Using cross products

62x = 231 *3

62x =693

Divide each side by 62

62x/62 = 693/62

x =11.17741935 gallons

Answer: 11.1774194 gallons of gas

Explanation: To solve this problem, our first step is to write down the unit ratio that is involved. In this case, it's miles traveled/gallons of gas.

Next, we set up a proportion based

on the information in the problem.

We know that a car gets 62 miles for every 3 gallons so we have 62/3 and we're asked how many gallons of gas

will it use to travel 231 miles so that's 231/x.

Notice that the 231 miles must go on top in the second ratio

because our unit ratio tells us that we put miles over gallons.

Solving from here, we use the means-extremes property which states that the product of the extremes, (62)(x) equals the product of the means, (3)(231).

So we have the equation 62x = 693.

Now, dividing both sides of the equation

by 63, we find that x = 11.1774194.

This means that the car will use 11.1774194

gallons of gas to travel 231 miles.

Answer:

the last one i think

Step-by-step explanation:

Answer:

93

Step-by-step explanation:

Answer:

Step-by-step explanation:

93

The slope for this scenario of X (every mile driven in cab) and Y (cost ) is 2 and the slope is increasing.

X     1.25     2.50     3.75     5     6.25

Y    7.50     10.0      12.5     15    17.5

[tex]x_{1}= 1.25 \\ x_{2} = 2.50 \\ y_{1}=7.50 \\y_{2}=10[/tex]

What is the Slope?

The slope or gradient of a line is a number that describes both the direction and the steepness of the line. It is represented by m.

[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]

Substitute all the required values in Slope formula, we get

[tex]m =\frac{10-7.50}{2.50-1.25}[/tex]

[tex]m = \frac{2.50}{1.25}[/tex]

[tex]m=2[/tex]

Thus, the slope of the given scenario is 2 and X and Y are increasing simultaneously as well as slope is positive. So, we can say it is a increasing slope.

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Answer: In the table, x represents every mile driven in a cab and y represents the cost.

A 2-column table with 5 rows. Column 1 is labeled x with entries 1.25, 2.50, 3.75, 5, 6.25. Column 2 is labeled y with entries 7.50, 10.0, 12.5, 15.0, 17.5.

Is the slope increasing or decreasing?

✔ increasing

What is the slope for this scenario?

✔ 2

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

A proportional relationship has the form

y = kx ← k is the constant of proportionality

y = 24x ← is in this form and is proportional with k = 24

Answer: Kelsey graphed the slope as the y-intercept and the y- intercept as the slope.

Step-by-step explanation:

Answer: D on edg

Step-by-step explanation:

Kelsey graphed the slope as the y-intercept and the y- intercept as the slope.

Answer:

D: Lauren made her first error in step 3 because she should have used 85-60 = 25 for chemistry and 80-60 = 20 for biology

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Got it right on ed 2020

Answer:

Step-by-step explanation:

X=y

[tex]\[ \csc(\theta) = \frac{15}{12} = \frac{5}{4} \][/tex] Option C. 15/12 is the Right Choice.

In a right triangle, the cosecant ([tex]\(\csc\)[/tex]) of an angle is the ratio of the length of the hypotenuse to the length of the side opposite the angle. In this scenario, we're given an angle [tex]\( \theta \)[/tex] and the side opposite to it measures 12 units. The length of the hypotenuse is denoted as [tex]\( r \)[/tex], and the length of the other side is 9 units.

To find the length of the hypotenuse ([tex]\( r \)[/tex]), we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. So, we have:

[tex]\[ r^2 = 12^2 + 9^2 \][/tex]

[tex]\[ r^2 = 144 + 81 \][/tex]

[tex]\[ r^2 = 225 \][/tex]

Taking the square root of both sides, we get [tex]\( r = 15 \)[/tex].

Now that we have the length of the hypotenuse ([tex]\( r = 15 \)[/tex]), we can find the cosecant ([tex]\(\csc\)[/tex]) of angle [tex]\( \theta \)[/tex]. The definition of [tex]\(\csc\)[/tex] in a right triangle is:

[tex]\[ \csc(\theta) = \frac{r}{\text{opposite side}} \][/tex]

Substituting the values we have, we get:

[tex]\[ \csc(\theta) = \frac{15}{12} \][/tex]

Simplifying this expression, we find that:

[tex]\[ \csc(\theta) = \frac{5}{4} \][/tex]

Therefore, the value of [tex]\( \csc(\theta) \)[/tex] is [tex]\( \frac{5}{4} \)[/tex]. Hence, the correct answer is C. 15/12.

Answer:

Length = 4 units

Step-by-step explanation:

Width = x units

Length = (x + 4) units

Area = 32 square units

length * width = 32

(x +4) *x = 32

x *x + 4 * x = 32

x² + 4x  -32 = 0

Sum = 4

Product = -32

Factor = 8 , (-4)

x² + 4x  -32 = 0

x² + 8x - 4x - 4 * 8 = 0

x(x + 8) - 4(x +8) = 0

(x + 8) (x - 4) = 0

(x + 8) is ignored because measurements will not have negative sign.

x-4 =0

x = 4

Width = 4 units

Length = x + 4 = 4 + 4 = 8 units

Answer:

Correct answer is 4.1

Step-by-step explanation:

You have to list all scores, total them and then divide by the total count:

0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6

The sum is 134 divided by the total values in the data set, 33 = 4.1

To calculate the mean baseball score, add up all the scores and then divide by the number of scores. The example provided demonstrates this process with hypothetical scores.

The mean is calculated by adding up all the scores and then dividing by the number of scores. Let's say the scores are 10, 20, 30, and 40. Here's how you calculate it:

This method applies to any group of numbers, whether they are baseball scores or other data sets.

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Answer:

He will make  $53,330

Step-by-step explanation:

In this question, we are tasked with calculating how much Mr Santiago will make in three years.

To calculate the future value of his earnings, we can use the formula for the future value of the salary

Mathematically, the FV = I(1 + r)^t

Where I is the initial amount of $51,000

r is the interest rate which is 1.5% = 1.5/100 = 0.015

t is the time in years which is 3 years

We plug these values into the equation above;

FV = 51,000(1+0.015)^3

FV = 51000(1.015)^3

FV = 53,329.59 which is $53,330 to the nearest whole dollars

Answer:

I assume the answer would be that f(x) = 6(x) increases over the interval x = 3 to x = 4

Step-by-step explanation:

6 x 3 is 18 and 6 x 4 is 24, so over the interval x = 3 to x = 4 f(x) would increase.

Answer:

Always true

All real numbers

Step-by-step explanation:

The given equation 1/6(12z-18)=2z-3 has no solution.

The given equation is 1/6(12z-18)=2z-3.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, 1/6(12z-18)=2z-3

12z/6 -18/6 =2z-3

2z-3=2z-3

Transpose 3 to other side of the equation, we get

2z=2z-3+3

2z = 2z

Transpose 2z to other side of the equation, we get

2z-2z=0

Therefore, the given equation has no solution.

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Answer:

18x-5≤-45

Step-by-step explanation:

The statement '5 less than 18 times the number x is less than or equal to -45' translates to the inequality '18x - 5 ≤ -45'. This can be solved to yield 'x ≤ -20/9'.

The phrase '5 less than 18 times the number x' can be written as an expression '18x - 5'. The complete inequality saying this is less than or equal to -45 can thus be written as '18x - 5 ≤ -45'.

To clarify, this means that if you were to multiply a number 'x' by 18, and then subtract 5, the resulting number should be less than or equal to -45.

This is a type of linear inequality and can be solved in a similar way to a linear equation. Subtracting 5 from both sides yields '18x ≤ -40', and then dividing by 18 gives the solution 'x ≤ -40/18' or 'x ≤ -20/9' in simplified form.

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The correct inequality is B. 13.6 < 3.9p.

To determine which inequality is true if p = 3.4, we can substitute the value of p into each inequality and see which one is satisfied. Let's do this for each option:

A. 3p < 10.2:

Substituting p = 3.4, we get 3(3.4) = 10.2 < 10.2, which is not true.

B. 13.6 < 3.9p:

Substituting p = 3.4, we get 13.6 < 3.9(3.4) = 13.26, which is true.

C. 5p > 17.1:

Substituting p = 3.4, we get 5(3.4) = 17 < 17.1, which is not true.

D. 8.5 > 2.5p:

Substituting p = 3.4, we get 8.5 > 2.5(3.4) = 8.5 > 8.5, which is not true.

Therefore, the correct inequality is B. 13.6 < 3.9p.

Answer:

(8*c)-6

Step-by-step explanation:

Answer:

8c - 6.

Step-by-step explanation:

8 times c = 8c.

Now 6 less than this is 8c - 6.