To bake some cakes, a baker used 40g of strawberries for every220g of flour. If the total amount of strawberries and flour that the baker used was 1040g, what was the amount of flour the baker used?

Answer:

8.38744e+160

Step-by-step explanation:

The total length of the centre circle and the two goal semi circles to be repainted is 56.22 meters.

Given:

Court lines are 50 mm wide.

Court paint covers 7 m² per litre of paint.

The centre circle is a complete circle, so the circumference is given by the formula: Circumference = 2πr

Radius of the entire circle = 9 m / 2 = 4.5 m

Radius of the centre circle = 4.5 m - 0.05 m (converted 50 mm to meters) = 4.45 m

Circumference of the centre circle = 2π(4.45 m) = 27.94 m

Next, let's calculate the circumference of the semicircles:

The semicircles are half circles, so the circumference is given by the formula: Circumference = πr

The radius (r) of the semicircles is the same as the radius of the entire circle, which is 4.5 m.

Circumference of a semicircle = π(4.5 m) = 14.14 m

Total length = Circumference of the centre circle + 2 x Circumference of a semicircle

Total length = 27.94 m + 2(14.14 m)

Total length = 56.22 m

Therefore, the total length of the centre circle and the two goal semi circles to be repainted is 56.22 meters.

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Answer:

d. x = 7

Step-by-step explanation:

\(\frac{32}{8} = \frac{28}{x}\)

Cross multiply, the denominator "8" is multiplied by numerator "28", while the numerator "32" is multiplied by denominator "x":

8 * 28 = 224

32 * x = 32x

\(32x = 224\)

Divide both sides by 32:

\(\frac{32}{32} = \frac{224}{32}\)

[x = 7]

\(\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{"y" varies inversely with "x"}}{y = \cfrac{k}{x}}\hspace{5em}\textit{we also know that} \begin{cases} x=4\\ y=16 \end{cases} \\\\\\ 16=\cfrac{k}{4}\implies 64 = k\hspace{9em}\boxed{y=\cfrac{64}{x}} \\\\\\ \textit{when x = 32, what's "y"?}\qquad y=\cfrac{64}{32}\implies y=2\)

given:

An angle is one-half of a right angle then it is equal to its complement

so, the statement is:

If an angle is 1/2 of a right angle then it is equal to its complement

And converse is:

If an angle equal to its complement so, the angle is equal to 1/2 of a right angle.

Answer:

\(\sqrt{35}\)

Step-by-step explanation:

By Pythagoras theorem,

1^2+x^2=6^2

or, x^2=36-1=35

or, x=\(\sqrt{35}\)

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Answer:

Step-by-step explanation:

The domain and range of a linear function is always real numbers (T or F)

It is True. This is because of a couple of reasons.

    1.) You cannot divide by 0.

     2. A negative number cannot have its square root taken.

The range is determined by the domain in a linear function, and thus it must always consist of real numbers.

Answer:

The first one is -4 because pretend you had 5 green toy bears and 1 blue toy bears and you bring one of the bears and they fell down the mountain and then all you have is 4,4 means a negative so you have a -4,the second one is 0 and just do the same but don't use green toy bears because green toy bears stand for negative and blue toy bears stand for positive.I hope this helped.

Step-by-step explanation:

Answer:

b,c

Step-by-step explanation:

b is written  in the written form properly and  is is extended using the right place values

Answer:

51 calories per serving

Step-by-step explanation:

Take the total number of calories and divide by the number of servings

408 calories / 8 servings

51 calories per serving

Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

Answer:

\(6\sqrt{3}\)

Step-by-step explanation:

because of the 90-60-30 theorem

which \(6*\sqrt{3}=6\sqrt{3}\)

Answer:

hope it helps.good day.

Answer:

2x+5 is greater than or = to 100.

2x≥95

x≥95/2

Step-by-step explanation:

Answer: x= 7

Step-by-step explanation:

-2x= -14    Divide both sides by -2

x= 7  

check

-2(7) = -14

-14 = -14

Answer:

x = 7

Step-by-step explanation:

-2x = -14

Divide each side by -2

-2x/-2 = -14/-2

x = 7

Answer:

A. Fractions 1 and 4

B. Fractions 1, 2, and 3

Step-by-step explanation:

A negative divided by a positive is a negative.

A positive divided by a negative is a negative.

If the negative symbol is in line with the fraction bar, it is still a negative.

The estimated salary for an employee with 24 years of experience is 83,316.87 .

In statistical modeling, regression analysis is a set of statistical processes for estimating the relationships between a dependent variable and one or more independent variables.

The regression equation can be represented as
\(Y = f(X_{i} , \beta ) + e_{i}\)  

that is  \(Y = \beta _{0} + \beta _{1} X + e_{i}\)

where , Y = dependent variable

            f = function

           \(X_{i}\) = independent variable

           \(\beta\) = unknown parameters

           \(e_{i}\) = error terms

For the given regression equation ,

29,136.63 + 2257.51 (Years of experience)

Here , \(\beta _{0}\) = 29,136.63
          \(\beta _{1}\) = 2257.51

          X = 24 ( for 24 years experience)

Hence , using the regression equation,

              29,136.63 + 2257.51×24

           = 29136.63 + 54,180.24
           = 83,316.87

So therefore the estimated salary with 24 year experience is 83,316.87.

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The height of the plane above the ocean is approximately 15,000 meters to the nearest meter.

The angle of depression is an angle formed between a horizontal line (such as the ground, ocean surface, or any other reference plane) and a line of sight from an observer looking downward towards an object or point of interest that is located below the observer's line of sight.

According to the given information:

The angle of depression is the angle formed between the horizontal line (such as the ocean's surface) and the line of sight from an observer looking downward to an object (such as the island). In this case, the angle of depression is given as 45 degrees.

Given:

Angle of depression = 45 degrees.

Distance from airplane to island = 15,000 meters.

To find the height of the plane, we can use trigonometry. The tangent function is commonly used to relate angles of depression to the height of an object above the horizontal.

In a right triangle, the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. In this case, the side opposite the angle of depression is the height of the plane, and the side adjacent to the angle is the distance from the airplane to the island.

Using the tangent function:

tan(angle of depression) = height of plane/distance to the island

Plugging in the given values:

tan(45 degrees) = height of plane / 15,000 meters

We can now solve for the height of the plane:

height of plane = tan(45 degrees) * 15,000 meters

Using a calculator, we find:

height of plane = 15000 * tan(45 degrees) ≈ 15000 meters (rounded to the nearest meter)

So, the height of the plane above the ocean is approximately 15,000 meters to the nearest meter.

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Therefore, the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83 is 75%, rounded to one decimal place.

Standard deviation is a measure of the amount of variation or dispersion in a set of data values. It measures how spread out the data is from the mean or average value. A low standard deviation indicates that the data is closely clustered around the mean, while a high standard deviation indicates that the data is more spread out. It is calculated as the square root of the variance, which is the average of the squared differences from the mean.

Here,

Chebyshev's theorem states that for any dataset, regardless of its distribution, at least 1 - 1/k² of the data will fall within k standard deviations of the mean, where k is any positive number greater than 1. To find the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83, we can first find how many standard deviations away from the mean these prices are:

$3.27 is (3.27 - 3.55)/0.14 = -2 standard deviations from the mean

$3.83 is (3.83 - 3.55)/0.14 = 2 standard deviations from the mean

Thus, the distance between $3.27 and $3.83 is 4 standard deviations (2 in each direction).

Using Chebyshev's theorem with k = 2 (since we want to know the minimum percentage within 2 standard deviations), we have:

=1 - 1/2²

= 1 - 1/4

= 0.75

This means that at least 75% of stores sell a gallon of milk for between $3.27 and $3.83.

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( 2x + 6 ) 3 = 3x + 6

6x + 18 = 3x + 6

3x = - 12

x = - 4

Answer:

x=-7,y=2

Step-by-step explanation:

3x - 4y = - 29

and 6x + 5y = - 32

3x - 4y = - 29 (1)

6x + 5y = -32 (2)

equation (1) x 2

6x-8y = -58

equation (2) × 1

6x + 5y = - 32

Substracting → - 13y = -26

13y = 26.

26/ 13 ⇒ y =

⇒ yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy = 2

Putting y = 2 in equation (1), we have

3x - 4(2) = - 20

→ 3x = -29 +8

→3x = -21

→ X = -7

x = - 7

Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.

Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.

Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.

Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;

let x represent the number of years from now when the sum of square of their respective age will be

45.(x + 2)² + (x + 5)² = 45

Expanding the brackets;

x² + 4x + 4 + x² + 10x + 25 = 45

2x² + 14x + 29 = 45

2x² + 14x + 29 - 45 = 0

2x² + 14x - 16 = 0

Solving the quadratic equation for x;

x = 1, x = -8

Taking the positive value, the value of x is 1

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Answer:

D

Step-by-step explanation:

A and D are both equidistant from the x- axis, that is

A is 3 units above the x- axis and D is 3 units below the x- axis

then the x- axis is the line of symmetry

Answer:

Decimal: -0.5

Fraction: - 1/2

Step-by-step explanation:

Answer:

a is your answer

For each relation, we would determine whether or not it is a function as follows;

Relation 1 is: B. not a function

Relation 2 is: B. not a function.

Relation 3 is: B. not a function

Relation 4 is: A. a function.

In Mathematics, a function is generally used for uniquely mapping an independent value (domain or input variable) to a dependent value (range or output variable).

This ultimately implies that, an independent value (domain) represents the value on the x-coordinate of a cartesian coordinate while a dependent value (range) represents the value on the y-coordinate of a cartesian coordinate.

Based on relations 1, 2, and 3, we can logically deduce that they do not represent a function because their independent value (domain) has more than one dependent value (range).

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Answer:

b

Step-by-step explanation: