-12(23 – 17) - (-2) × 62​

Answer:

3 years: $27691.30

7 years: $23359.70

Step-by-step explanation:

3.5% of 30,940 = 1082.9

for each year there is interest, we multiply it by that amount of years.

equation: 1082.9x

3 years: 3248.7  

7 years: 7580.3

since interest is subtracted, we will subtract the multiplied interests from above.

equation: 30940 - 1082.9x = answer

3 years: $27691.3

7 years: $23359.7

Answer:

Step-by-step explanation:

Based on the information in the image, we can infer that the recipe that takes the longest is the one for spaghetti sauce.

To find the recipe that takes the longest we must take into account the information of each of the recipes. In this case, we have preparation time and cooking time. To know the total time we must add these two values.

Additionally, we must establish a magnitude to be able to relate all the values, in this case the most appropriate would be the number of minutes.

So, the preparation of the spaghetti sauce takes 10 minutes and its cooking takes an hour and a half, that is, 90 minutes. On the other hand, strawberry bread takes 20 minutes to prepare and 55 to cook:

According to the above, the spaghetti sauce takes longer because it takes 25 minutes longer than the strawberry bread.

Note: This question is incomplete. Here is the complete information:

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Answer:

AB = 28 , BC = 17.5 , X = 13.2

Step-by-step explanation:

since the figures are similar then the ratios of corresponding sides are in proportion, that is

\(\frac{AB}{PQ}\) = \(\frac{AD}{PS}\) ( substitute values )

\(\frac{AB}{8}\) = \(\frac{14}{4}\) ( cross- multiply )

4 AB = 8 × 14 = 112 ( divide both sides by 4 )

AB = 28

and

\(\frac{BC}{QR}\) = \(\frac{AD}{PS}\) ( substitute values )

\(\frac{BC}{5}\) = \(\frac{14}{4}\) ( cross- multiply )

4 BC = 5 × 14 = 70 ( divide both sides by 4 )

BC = 17.5

similarly for the 2 similar figures

\(\frac{x}{6}\) = \(\frac{11}{5}\) ( cross- multiply )

5x = 6 × 11 = 66 ( divide both sides by 5 )

x = 13.2

Answer:

\(\overline{AB}=28\)

\(\overline{BC}=17.5\)

\(x=13.2\)

Step-by-step explanation:

If quadrilateral PQRS is similar to quadrilateral ABCD, their corresponding sides are in the same ratio:

\(\overline{PQ} : \overline{AB} = \overline{QR} : \overline{BC} = \overline{RS} : \overline{CD} = \overline{SP}:\overline{DA}\)

From inspection of the two quadrilaterals, the given side lengths are:

\(\overline{PQ} = 8\)

\(\overline{QR} = 5\)

\(\overline{RS} = 6\)

\(\overline{SP} = 4\)

\(\overline{DA} = 14\)

Substitute these into the ratio equation:

\(8 : \overline{AB} = 5 : \overline{BC} = 6 : \overline{CD} = 4:14\)

Solve for AB:

\(8 : \overline{AB} = 4:14\)

   \(\dfrac{8}{\overline{AB}}= \dfrac{4}{14}\)

 \(8 \cdot 14=4 \cdot{\overline{AB}}\)

   \(\overline{AB}=\dfrac{8 \cdot 14}{4}\)

  \(\boxed{\overline{AB}=28}\)

Solve for BC:

\(5 : \overline{BC} = 4:14\)

  \(5 \cdot 14=4 \cdot \overline{BC}\)

    \(\overline{BC}=\dfrac{5 \cdot 14}{4}\)

   \(\boxed{\overline{BC}=17.5}\)

\(\hrulefill\)

Assuming the two figures are similar, their corresponding sides are in the same ratio. Therefore:

\(x:6=11:5\)

   \(\dfrac{x}{6}=\dfrac{11}{5}\)

   \(x=\dfrac{11 \cdot 6}{5}\)

   \(x=\dfrac{66}{5}\)

  \(\boxed{x=13.2}\)

Answer:

\(\frac{(x + 1)}{(x + 3)}\)

Step-by-step explanation:

If you ignore the 7x for the moment, you can see that the numerator can be factored into (x-5)(x+1), and the denominator can factored into (x-5)(x+3).

The (x+5)s can cancel out, so you are left with \(\frac{(x+1)}{(x+3)}\) times \(\frac{7x}{7x}\). Since 7x/7x is just equal to 1, our final answer is (x+1)/(x+3).

Hope this helped! :)

Answer:

This would be 55 degrees because the sum of angles A, B and C = 180 degrees

Answer:

894

Step-by-step explanation:

The bench costs $375, and the garden table costs $295. Together, they amount to $670, with the table being $80 cheaper than the bench.

Let the cost of the bench be x. Then the cost of the garden table is x-80. The sum of the costs of both items is $670. So we have the equation: x + (x-80) = $670.

Simplifying this, we get 2x - 80 = $670  + 80 2x = $750  x = $375. So the cost of the bench is $375. The garden table costs $375 - $80 = $295. A garden table and a bench cost $670 combined.

The garden table costs $80 less than the bench. To find the cost of the bench, we can use algebraic equations. Let the cost of the bench be x. Then, the cost of the garden table is x - 80.

The sum of both costs is $670. Using this information, we can form an equation: x + (x - 80) = $670. Simplifying, we get 2x - 80 = $670 + 80. Solving for x, we get x = $375.

Therefore, the cost of the bench is $375, and the cost of the garden table is $295.

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Answer:

Hi, there your answer will 12

2+7+3=12

Have a nice day

Step-by-step explanation:

Answer:

Step-by-step explanation:

I added it up XD Thanks for the points.

Answer:

The value of a₅ is 1875.

Step-by-step explanation:

Given:

a₁ = 3

aₙ = 5aₙ₋₁

To find the value of a₅, we can apply the recursive formula to compute each term successively:

Step 1: Compute a₂

a₂ = 5a₁ = 5(3) = 15

Step 2: Compute a₃

a₃ = 5a₂ = 5(15) = 75

Step 3: Compute a₄

a₄ = 5a₃ = 5(75) = 375

Step 4: Compute a₅

a₅ = 5a₄ = 5(375) = 1875

As a result, about 85.18% of the students in the survey do not smoke, and the probability of not smoking is 0.8518.

Percentages are just fractions with a denominator of 100. We use the percent sign (%) beside a number to indicate that it is a percentage. For instance, if you answered 75 questions correctly out of 100 on a test (75/100), you would have received a 75%. A percentage is a figure or ratio that may be stated as a fraction of 100 in mathematics. If we need to compute the percentage of a number, divide it by the entire and multiply by 100. As a result, the percentage denotes a part per hundred. The term % refers to one hundred percent. The sign "%" represents it.

Here,

The survey included 55 students who smoke and 337 students who do not smoke. The percentage of students who do not smoke can be calculated as follows:

337/(55+337) = 337/392 = 85.18%

So, approximately 85.18% of the students in the survey do not smoke and the probability of student of who don't smoke is 0.8518.

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The solution is the point (0, 1/6) y = 1/6

Given the equation y = (-3/4)x + 1/6, which represents a linear equation, there is no "system" of equations involved since there is only one equation.

In this case, the equation is in slope-intercept form (y = mx + b),

where m represents the slope (-3/4) and b represents the y-intercept (1/6).

The slope-intercept form allows us to determine various properties of the equation.

Since there is only one equation, the solution to this equation is a single point on the Cartesian plane.

Each pair of x and y values that satisfy the equation represents a solution.

For example, if we choose x = 0, we can substitute it into the equation to find the corresponding y value:

y = (-3/4)(0) + 1/6

y = 1/6

Therefore, the solution is the point (0, 1/6).

In summary, the given equation has a unique solution, represented by a single point on the Cartesian plane.

Any value of x plugged into the equation will yield a corresponding y value, resulting in a unique point that satisfies the equation.

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The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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Answer:

4,-1 that is the answer so

Answer:

Less than

Step-by-step explanation:

It is less than because it its 0.15 less than 1.35

I like to see iy as 120 and 135 to make it easier but there are other ways

hope this helps

One kind of average is the mean. It is calculated by dividing the total number of values in a list of values, such as measurements or numbers, by the total number of values in the list.

Given data :

a ) Mean =

              x = \(\frac{\left \{ {{i=10} \atop {i=1}} \right.}{n} Xi\) = 101 / 10 =  10.1 hundreds of dollars

The median is the 50th percentile To determine the location index for the median (2nd

quartile (p =50) we do the following:

The index is

                               i  = \(\frac{p}{100}\) (n) = \(\frac{50}{100}\) (10) = 5 integer

Since the index, 5, is an integer, the 2nd quartile is determined by finding the average of

the 5th and 6th values from the lower or higher end of the sorted data. This is:

                Median = \(Q_{2}\) = \(\frac{10 + 11}{2}\) = 10.5 hundreds of dollar

Mode = most frequently occurring observation = 11 hundreds of dollars ( two times )

Here i attached graph

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"

Answer: -2x

Step-by-step explanation:

4x+(-6x)

When there is a + in front of an expression in a parentheses, the expression remains the same.

4x-6x

Collect like terms

-2x

\(\begin{array}{llll} \textit{Logarithm of rationals} \\\\ \log_a\left( \frac{x}{y}\right)\implies \log_a(x)-\log_a(y) \end{array} \\\\[-0.35em] ~\dotfill\\\\ \log_8(x)-\log_8(7)=\log_8\left( \cfrac{5}{7} \right)\implies \log_8(\stackrel{x }{5})-\log_8(7)=\log_8\left( \cfrac{5}{7} \right)\)

Answer:

(-2,0)

Step-by-step explanation:

Answer:

Step-by-step explanation:

services

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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Answer:

1250 m²

Step-by-step explanation:

Let x and y denote the sides of the rectangular research plot.

Thus, area is;

A = xy

Now, we are told that end of the plot already has an erected wall. This means we are left with 3 sides to work with.

Thus, if y is the erected wall, and we are using 100m wire for the remaining sides, it means;

2x + y = 100

Thus, y = 100 - 2x

Since A = xy

We have; A = x(100 - 2x)

A = 100x - 2x²

At maximum area, dA/dx = 0.thus;

dA/dx = 100 - 4x

-4x + 100 = 0

4x = 100

x = 100/4

x = 25

Let's confirm if it is maximum from d²A/dx²

d²A/dx² = -4. This is less than 0 and thus it's maximum.

Let's plug in 25 for x in the area equation;

A_max = 25(100 - 2(25))

A_max = 1250 m²

The fraction of his lotto earnings that is remaining is 7/20.

A fraction is a portion of a whole or, more broadly, a set of equal pieces.

Let the total amount that the man won in the lotto jackpot is x.

Now, he spent 2/5 of the jackpot on luxury cars and 1/4 on buying a house, therefore, the total spending he will do is,

\(\dfrac{2x}{5}+\dfrac{x}{4}\)

Now, the fraction of his lotto earnings that is remaining can be written as,

\(x-\dfrac{2x}{5}+\dfrac{x}{4}\\\\\\=\dfrac{x}{1}-\dfrac{2x}{5}-\dfrac{x}{4}\\\\\\=\dfrac{x \times 20}{1 \times 20}-\dfrac{2x \times 4}{5 \times 4}-\dfrac{x\times 5}{4\times 5}\\\\\\=\dfrac{20x-8x-5x}{20}\\\\=\dfrac{7x}{20}\)

Hence, the fraction of his lotto earnings that is remaining is 7/20.

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Answer:

28.26

Step-by-step explanation:

Diameter = 6cm

Radius = 3cm

Area of a circle = 3.14 × 3 × 3

= 28.26cm²

Answer:

12 divided by 1/2 = 12x2 = 24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Multiplying by the reciprocal is the same as dividing a fraction.

A reciprocal is a fraction, just flipped.

So:

12*2

The answer is 24

If x represents the number of hats sold, the expression representing Geoff's earnings is 15x.

An algebraic expression is a mathematical statement that combines variables, constants, values, numbers, and other quantities based on mathematical operands but without using equal symbols (=).

The selling price per handknit hat = $15

The total cost of materials (yarn) for making the hats = $45.

Let the number of hats sold = x

Total earnings from the sales = 15x

Total cost = $45

Net earnings = 15x - 45

Thus, the expression that represents Goefft's earnings from the sale of handknit hats is 15x.

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Answer:

1/2 !

Step-by-step explanation:

Since it's going up, we know its positive, but if you use RISE/RUN, you would go up 1, then over two, from any point. That makes it 1/2! I went up from the y axis to the next point on the line. I hope that makes sense, but the answer is 1/2!

Have a nice day :D