Five subtracted from a number equals 10. Find the number.

Answer:

3 , 9/2

Step-by-step explanation:

(3- y) (2 y– 9)=0

y=3 , y= 9/2

The cost of the tomatoes, in dollars per pound, using proportions, is of:

$0.86 per lb.

A proportion represents a fraction relative to a total amount, which is combined with the basic arithmetic operations, especially multiplication and division, to find the desired amounts in whichever context of a problem.

In this problem, the costs is obtained as follows:

Hence the cost in dollars per kg of the tomatoes is obtained as follows:

1.74 x 1.09 = $1.8966 per kg.

The relationship between kg and pounds is given as follows:

1 kg = 2.20 lb.

Hence the cost is written as follows:

$1.8966 per 2.20 lb.

The cost per pound of the tomatoes is of:

1.8966/2.20 = $0.86 per lb.

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Given

3r.

To identify the operation used in this expression.

Now,

The expression 3r can be written as,

Therefore, the operation used in 3r is multiplication.

The value of x is 24 and different angles of hexagon will be -

A = 160

B = 142

C = 120

D = 156

E = 31

F = 111

An angle is a geometric shape that is defined as the amount of rotation that occurs between two straight lines or planes. Angles are measured in degrees, with 360° representing a full circle.

We need to apply the inverse tangent function to determine the angle at which the sun strikes the flagpole. We are aware that the triangle's adjacent side is 42 feet long and its opposite side is 25 feet tall (the height of the flagpole) (the length of the shadow).

Given the figure is hexagon,

the sum of angles of a hexagon is 720,

Upon adding the given angles,

mA = (7x-8)°

mB (4x+46)°

mC = (5x)

mD = (6x+12)°

mE = (x+7)°

mF = (5x-9)°

⇒ 7x - 8 + 4x + 46 + 5x + 6x + 12 + x + 7 + 5x - 9 = 720

⇒ 28x + 48 = 720

⇒ 28x = 672

⇒ x = 24

Therefore, the angles will be -

A = 160

B = 142

C = 120

D = 156

E = 31

F = 111

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Answer:

145

Step-by-step explanation:

The total sum of all the angles is 360 degrees. If we add up 35, 35, and 145 we get 215. 360-215=145.

The coordinates in the solution to the systems of inequalities graphically is (6, 2)

From the question, we have the following parameters that can be used in our computation:

x + y > 3

x - 3y < 2

Next, we plot the graph of the system of the inequalities

See attachment for the graph

From the graph, we have solution to the system to be the shaded region

The coordinates in the solution to the systems of inequalities graphically is (6, 2)

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Answer:

59

Step-by-step explanation:

6 plus 4 equals 8 plus 9

Let H: X – Y be a mapping. The set Y is called the codomain of the mapping H: X – Y.

In mathematics, a mapping or function H: X – Y is a relation between two sets, where the set X is called the domain and the set Y is called the codomain.

The mapping H assigns each element in X to a unique element in Y. The codomain of the mapping H is the set Y, which contains all the possible outputs that can be obtained from the mapping.

It represents the range of the mapping H and provides a reference set for the outputs of the function. The actual range of the function may be smaller than the codomain, depending on the elements in X that are mapped to.

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Answer:

Your answer is 0.014285714285714.

Step-by-step explanation:

You divide .5 by 35 and you get your answer.

Answer:

7

Step-by-step explanation:

Answer:

x² - 12x + 36

factored: (x - 6)(x - 6)

If Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.

To represent the number of bags of pears, b, that Natalie sells at the Saturday market, we can use the following equation:

b = total_number_of_pears / pears_per_bag

In this equation, "total_number_of_pears" represents the total quantity of pears Natalie has, and "pears_per_bag" represents the number of pears she puts in each bag.

Given that Natalie has a total of 48 pears, we can substitute the value into the equation:

b = 48 / pears_per_bag

Now, we need to determine the number of pears she puts in each bag. The information provided states that Natalie sells bags of pears, and each bag is sold for $5. However, the specific number of pears per bag is not given. To proceed, we need this information.

Let's assume that Natalie puts 4 pears in each bag. We can substitute this value into the equation:

b = 48 / 4

Simplifying the equation gives:

b = 12

So, if Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.

It's important to note that the specific value of "pears_per_bag" will affect the final result. If Natalie puts a different number of pears in each bag, the equation will yield a different number of bags sold.

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Answer: Helen is 8 years old.

Step-by-step explanation:

Given: Helen’s age is a multiple of 4.

i.e. Choices for Helen’s age = 4, 8 , 16, ...

Helen’s older brother is now 19.

That means Helen's age < 19

Choices for Helen's age left = 4, 8, 16

Next year it’ll be a multiple of 3.

That is only possible if Helen's age = 8

Because next year her age = 8+1 = 9 years which is divisible by 3.

Hence, Helen is 8 years old.

Answer:

x > -185

I hope this helps!

Answer:

my mon is cool

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The volume of the solid obtained by rotating the region bounded by the curve y = 1 - (x - 5)² in the first quadrant about the y-axis is 51π cubic units.

To find the volume of the solid obtained by rotating the region bounded by the curve y = 1 - (x - 5)² in the first quadrant about the y-axis, we can use the method of cylindrical shells.

The formula for the volume using cylindrical shells is:

V = 2π ∫ [a, b] x * h(x) dx

Where:

- V is the volume of the solid

- π represents the mathematical constant pi

- [a, b] is the interval over which we are integrating

- x is the variable representing the x-axis

- h(x) is the height of the cylindrical shell at a given x-value

In this case, we need to solve for x in terms of y to express the equation in terms of y.

Rearranging the given equation:

x = 5 ± √(1 - y)

Since we are only interested in the region in the first quadrant, we take the positive square root:

x = 5 + √(1 - y)

Now we can rewrite the volume formula with respect to y:

V = 2π ∫ [c, d] x * h(y) dy

Where:

- [c, d] is the interval of y-values that correspond to the region in the first quadrant

To determine the interval [c, d], we set the equation equal to zero and solve for y:

1 - (x - 5)² = 0

Expanding and rearranging the equation:

(x - 5)² = 1

x - 5 = ±√1

x = 5 ± 1

Since we are only interested in the region in the first quadrant, we take the value x = 6:

x = 6

Now we can evaluate the integral to find the volume:

V = 2π ∫ [0, 1] x * h(y) dy

Where h(y) represents the height of the cylindrical shell at a given y-value.

Integrating the expression:

V = 2π ∫ [0, 1] (5 + √(1 - y)) * h(y) dy

To find h(y), we need to determine the distance between the y-axis and the curve at a given y-value. Since the curve is symmetric, h(y) is simply the x-coordinate at that point:

h(y) = 5 + √(1 - y)

Substituting this expression back into the integral:

V = 2π ∫ [0, 1] (5 + √(1 - y)) * (5 + √(1 - y)) dy

Now, we can evaluate this integral to find the volume

V = 2π ∫ [0, 1] (5 + √(1 - y)) * (5 + √(1 - y)) dy

To simplify the integral, let's expand the expression:

V = 2π ∫ [0, 1] (25 + 10√(1 - y) + 1 - y) dy

V = 2π ∫ [0, 1] (26 + 10√(1 - y) - y) dy

Now, let's integrate term by term:

\(V = 2\pi [26y + 10/3 * (1 - y)^\frac{3}{2} - 1/2 * y^2]\)] evaluated from 0 to 1

V = \(2\pi [(26 + 10/3 * (1 - 1)^\frac{3}{2} - 1/2 * 1^2) - (26 * 0 + 10/3 * (1 - 0)^\frac{3}{2} - 1/2 * 0^2)]\)

V = 2π [(26 + 0 - 1/2) - (0 + 10/3 - 0)]

V = 2π (25.5)

V = 51π cubic units

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The solution in this case is x = (4 + sqrt(102+4c))/2 - 4√c, which can be expressed in the form of X = a - b√c.

How to solve quadratic equation?

To solve the equation x²+8x-38=0, we can use the quadratic formula:

x = (-b ± sqrt(b²-4ac)) / 2a

Here, a=1, b=8, and c=-38. Substituting these values into the formula gives:

x = (-8 ± sqrt(8²-4(1)(-38))) / 2(1)

x = (-8 ± sqrt(324)) / 2

x = (-8 ± 18) / 2

So x is either -13 or 5.

To find the values of x in the form of X = a + b√c and X = a - b√c, we can use the following steps:

For X=a+b√c:

Let's assume that x = a + b√c, where a, b, and c are constants to be determined.

Substituting this into the original equation x²+8x-38=0, we get:

(a + b√c)² + 8(a + b√c) - 38 = 0

Expanding the square and simplifying, we get:

(a² + 2ab√c + b²c) + 8a + 8b√c - 38 = 0

Separating the real and imaginary parts, we get:

(a² + b²c + 8a - 38) + (2ab√c + 8b)√c = 0

Since the real and imaginary parts of the equation must both be zero, we can set them each equal to zero and solve for a, b, and c.

First, setting the real part equal to zero gives:

a² + b²c + 8a - 38 = 0

This is a quadratic equation in a, so we can use the quadratic formula:

a = (-8 ± sqrt(8²-4(bc-38))) / 2

Simplifying this gives:

a = -4 ± sqrt(4+b(b-10))

Now, setting the imaginary part equal to zero gives:

2ab + 8b = 0

Solving for b, we get:

b = 0 or b = -4

If b = 0, then a² + b²c + 8a - 38 = a² + 8a - 38 = 0, which has roots a = -5 and a = 3. Therefore, the solution in this case is x = -5 or x = 3, which cannot be expressed in the form of X = a + b√c.

If b = -4, then a² + b²c + 8a - 38 = a² + 16c + 8a - 38 = 0. Plugging this into the quadratic formula for a, we get:

a = -4 ± sqrt(102-4c)/2

Therefore, the solution in this case is x = (-4 + sqrt(102-4c))/2 - 4√c, which can be expressed in the form of X = a + b√c.

For X=a-b√c:

Using the same logic, we can assume that x = a - b√c, where a, b, and c are constants to be determined.

Substituting this into the original equation x²+8x-38=0, we get:

(a - b√c)² + 8(a - b√c) - 38 = 0

Expanding the square and simplifying, we get:

(a² + b²c - 8a - 38) + (-2ab√c - 8b)√c = 0

Since the real and imaginary parts of the equation must both be zero, we can set them each equal to zero and solve for a, b, and c.

Setting the real part equal to zero gives:

a² + b²c - 8a - 38 = 0

This is a quadratic equation in a, so we can use the quadratic formula:

a = (8 ± sqrt(8²+4(bc+38))) / 2

Simplifying this gives:

a = 4 ± sqrt(4+b(b+10))

Setting the imaginary part equal to zero gives:

-2ab - 8b = 0

Solving for b, we get:

b = 0 or b = -4

If b = 0, then a² + b²c - 8a - 38 = a² - 8a - 38 = 0, which has roots a = -3 and a = 11. Therefore, the solution in this case is x = -3 or x = 11, which cannot be expressed in the form of X = a - b√c.

If b = -4, then a² + b²c - 8a - 38 = a² + 16c - 8a - 38 = 0. Plugging this into the quadratic formula for a, we get:

a = 4 ± sqrt(102+4c)/2

Therefore, the solution in this case is x = (4 + sqrt(102+4c))/2 - 4√c, which can be expressed in the form of X = a - b√c.

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The measure of largest exterior angles is 150 degrees

Exterior angles are defined as angles of a polygon formed or created by two the sides of that polygon and sharing a common endpoint.

It is important to note that the exterior angle of a triangle is congruent to the sum of the two non-adjacent interior angles that are opposite to each other.

They are also known to be angles formed by a transversal line as it cuts through one of two lines and it is located on the outside part of the line.

Given the angles as;

Note that the sum of exterior angles are 360degrees

5x° + 9x° + 10x° = 360°

collect like terms

24x = 360

Make 'x' the subject of formula by dividing both sides by 24

x = 360/24

x = 15

But the largest angle is 10x = 10(15) = 150°

Hence, the value is 150°

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Answer:

The answer is 27,000,000

The circumference (c) is the dependent variable.

The radius (r) is the independent variable.

An independent variable is a variable that does not depend on any other variable for its value

A dependent variable is a variable depend on any other variable for its value.

In the rule c = 6.3r, the circumference (c) of a circle depends on the  radius for its value while the radius (r) does not depend on the circumference for its value.

Thus, the circumference (c) is the dependent variable while the radius (r) is the independent variable

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Answer:

The value is  \(E(X) = 4 \ days\)

Step-by-step explanation:

From the question we are told that

   The mean is  \(\mu = 36^oC\)

    The standard deviation \(\sigma = 3^oC\)

Generally the probability that in June , the midday  temperature is between  

39°C and 42°C is mathematically represented as

      \(P(39 < X < 42) = P(\frac{39 - 36}{3} < \frac{X - \mu }{\sigma} < (\frac{42 - 36}{3} )\)

\(\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )\)

      \(P(39 < X < 42) = P(1 < Z <2 )\)

=>   \(P(39 < X < 42) = P(Z < 2) - P( Z <1 )\)

From the z table  the area under the normal curve to the left corresponding to  1 and  2  is

     P(Z   < 2)  = 0.97725

and

    P(Z   < 1)  = 0.84134

    \(P(39 < X < 42) = 0.97725 - 0.84134\)

=>  \(P(39 < X < 42) = 0.13591\)

Generally number of days in June would you expect the midday temperature to be between 39°C and 42°C

      \(E(X) = n * P(39 < X 42 )\)

Here n is the number of days in June which is  n = 30

       \(E(X) = 30 * 0.13591\)

=>    \(E(X) = 4 \ days\)

Answer:

On the Venn diagram, these common elements are located inside the intersection of the three circles representing sets A,B and C . From the figure, we see that 7 and 4 belong to this mutual intersection. So, the roster form of set A∩B∩C A ∩ B ∩ C is given as {4,7}

i hope that help, i am not sure if i am correct

The volume of the ark is about 1.44 million cubic feet.

What is unit conversion mean?

A unit conversion expresses the same property as a different unit of measurement. For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.

First, we need to convert the measurements from cubits to inches.

We know that one cubit is equal to six palms and that one palm is equal to 2.5 inches. So, we can convert the measurements of the ark by multiplying the number of cubits by the number of inches per cubit:

Length of ark = 300 cubits x 6 palms/cubit x 2.5 inches/palm = 4500 inches

Width of ark = 50 cubits x 6 palms/cubit x 2.5 inches/palm = 750 inches

Height of ark = 30 cubits x 6 palms/cubit x 2.5 inches/palm = 450 inches

Next, we can find the volume of the ark by multiplying these dimensions together:

Volume of ark = 4500 inches x 750 inches x 450 inches = 1.42 x 10^9 cubic inches

Finally, we can convert cubic inches to cubic feet by dividing by the conversion factor of 1 cubic foot = 12 x 12 x 12 cubic inches.

1.42 x 10^9 cubic inches / (12x12x12 cubic inches/cubic foot) = 1.44 x 10^6 cubic feet

Hence, the volume of the ark is about 1.44 million cubic feet.

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Answer:

Step-by-step explanation:

Just plug in the x-intercept to find the y-intercepts. Slope is y2-y1/x2-x1, so just take any 2 y-intercepts and any 2 x intercepts to find the slope.

Answer:

y = 6x + 4

Step-by-step explanation:

Find the slope (m) of the line that contains (1, 10) and (0, 4).

Slope = ∆y/∆x = (4 - 10) / (0 - 1) = -6/-1

Slope (m) = 6

Find the y-intercept (b):

y-intercept (b) is 4 because it is the value of y when x = 0.

To write the equation in slope-intercept form, substitute m = 6 and b = 4 into y = mx + b.

Thus:

y = 6x + 4

Answer:

\( \frac{8}{3} \: and \: \frac{5}{12} \: = \frac{1}{3} \)

8 - 1, 2, 4, 8

3 - 1, 3

5 - 1, 5

12 - 1, 2, 3, 4, 6, 12

Answer:

13.416 or 13.4

Step-by-step explanation:

Answer:

18q + 27

Step-by-step explanation:

9(2q + 3)

9 x 2q = 18q

9 x 3 = 27

18q + 27

: )

Answer:

true the question is true and wait for others my could be wrong also