The results of a survey of customers at a pet supply store showed that 33 owned dogs, 42 owned parrots, and 20 owned both dogs and parrots. How many owned either a dog or a parrot?
of the customers surveyed, owned either a dog or a parrot
(Type an integer or a decimal.)

Answer:

Add 2 to both sides.

1/4x=2x-7

Multiply both sides by 4

x=8x-28

-8x from each side.

-7x=-28

divide both sides by -7

X=4

Answer:  x=4

1. Multiply both sides by 4 to get rid of the denominator, which gives you x-8 = 8x-36
2. Subtract 8x from both sides, which gives you x - 8 - 8x= -36

3. Add 8 to both sides, which gives you x - 8x = -36 + 8

4. Simplify, -7x = -28

5. Divide both sides by -7, x = -28/-7

6. the negative signs cancel and you just get 4

Answer:

An irrational number is a type of real number which cannot be represented as a simple fraction. It cannot be expressed in the form of a ratio

so the answer would be √13

Step-by-step explanation:

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Answer:

c

Step-by-step explanation:

an irrational number is a number that cannot be written as a number or a fraction

The solutions for this quadratic equation is

x = 0 , -2/3

What is quadratic equation ?

A quadratic equation is also known as quadratic function. The quadratic function has the form of equation as  ax²+ bx + c, where a, b, and c are the numbers not equal to zero. In mathematics, the quadratic function, the quadratic polynomials , 2nd degree polynomial is a polynomial function with one or more that one variables in which the highest term is of the second degree.

according to question given,

9 x²+6 x=0

take the 3x as common factor, equation is

3x ( 3x + 2) = 0

now, evaluating this expression

3x = 0  , say equation 1

and, 3x +2 =0  say equation 2

from equation 1 , x = 0

and, from equation 2

3x + 2 =0

x = -2 / 3

Thus final solutions for this equation is

x = 0 , -2/3

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Answer:

Centena de mil, sorry, hundred thousand

Step-by-step explanation:

Espero que te ayude :)

log 150 = log 50 + log 3

∴ log 150 = 2.176

As the base is not mentioned, we will take the base as 10. We will apply the product rule of logarithms to this equation.

log (150) can also be written as log (50×3).

Therefore, log (150) = log 50 + log 3

We know, log 3 = 0.477log 150 = log 50 + 0.477

Now, we can write log 50 as log (100/2). We will use the quotient rule of logarithms.log 50 = log 100 - log 2

We know, log 100 = 2 and log 2 = 0.301∴ log 50 = 2 - 0.301

log 50 = 1.699 Substituting the value of log 50 = 1.699 in the main equation, log 150 = log 50 + log 3log 150 = 1.699 + 0.477log 150 = 2.176

Therefore, the final answer to the question log 150 = 2.176

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By evaluating the equation we found  3 pairs we can write the table:

x = -7, 0, 7

y = 2, -2, -6

Which represents our equation.

We want to get a table of the form:

x: x₁, x₂, x₃, ...

y: y₁, y₂, y₃, ...

To get that, we need to evaluate the given equation in some different values of x, so let's do that.

if we take x = 0, then we get:

y = -(4/7)*0 - 2 = -2

So we have the pair (0, -2)

If x = 7, then:

y = (-4/7)*7 - 2 = -4 - 2 = -6

So we have the pair (7, -6)

If x = -7 then:

y = (-4/7)*-7 - 2 = 4 - 2 = 2

So we have the pair (-7, 2)

So now that we have 3 pairs we can write the table:

x = -7, 0, 7

y = 2, -2, -6

Which represents our equation.

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The relationship between area and cost is 3/4 means 4 times area gets 3 times cost.

Given the cost to rent an apartment is proportional to the number of square feet in the apartment.

Given the cost of an 800 sqft apartment per month = 600$

By using the given information we can define the relationship between area and cost as below

For 800 sqft = 600 $

for 1 sqft = x

It can be written as

800/1 = 600/x

By cross multiplicating the terms on both sides we get

800 * x = 600

x = 600/800

x = 3/4

The relationship between area and cost is 3/4 means 4 times area gets 3 times cost.

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Answer:

C

Step-by-step explanation:

12a³ and 24[tex]a^{5}[/tex]

the GCF of 12 and 24 is 12

the GCF of a³ and [tex]a^{5}[/tex] is a³

the GCF of both is 12a³

====================================================

Explanation:

Multiply both sides by 2 to clear out the fraction

11 - (1/2)y = 3 + 6x

2* ( 11 - (1/2)y ) = 2*(3 + 6x)

2*11 - 2*(1/2)y = 2*3 + 2*6

22 - y = 6 + 12x

Then let's solve for y

22 - y = 6 + 12x

-y = 6 + 12x-22

-y = 12x-16

y = -(12x-16)

y = -12x+16  is the answer

The final answer is in slope intercept form y = mx+b

m = -12 = slope

b = 16 = y intercept

Constants values in the expression  2x+3y+4z+5a+6b are 2,3,4 ,5 and 6.

A constant is a value or number that is consistently the same regardless of how it is expressed. For instance, in the aforementioned figure, where its face value is 36 and 82 respectively, 36 and 82 remain constant. Its worth remains constant.

To broaden our definition, we can say that a constant is something that never changes. Either a single digit or a symbol that denotes a specific number is used. You could substitute a letter like a, b, or c for a constant.

An illustration of a constant term is the mathematical symbol Pi. The word "Pi" refers to a well-known number that can be used alone.

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There are more than two distinct promotions, thus the manager must verify the relative frequencies per column.

The management must examine the relative frequencies by column since there are more than two different promotions, according to the statement that best sums up the relationship between the two variables.

The ratio of the number of times an event happened to the overall number of events is known as the relative frequency. In essence, it is the frequency ratio between the subgroups and the entire population.

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If ∆ABC and ∆FDE are congruent, then the correct statement among options is ∠C ≅ ∠E.

Congruent figures refers to the figures that can be superimposed on each other. This states that the angles and sides are similar for both the figures being compared. We are given that two triangles are congruent. Same will be true for their sides as well.

Thus, we can interpret that similar angles in the mentioned two triangles will be -

∠A ≅ ∠F

∠B ≅ ∠D

∠C ≅ ∠E

Similarly, the similar sides for both triangles will be -

AB ≅ FD

BC ≅ DE

AC ≅ FE

Therefore, in the congruent triangles ABC and FDE, ∠C and ∠E are congruent.

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Answer: Montserrat bracelets can she make per hour = 0.5625 hours

Step-by-step explanation:

Given data,

Montserrat can make 4 bracelets in 2 1/4 hours.

Let assume Montserrat can make 1 bracelets in x hours.

So,

we can write,

                      4   ⇒ 2 1/4

                       1    ⇒ x

Then,

                      4x =  1 * 2 1/4                  

                       4x =1* 9/4

                        4x = 9/4

                         x = (9/4)/4

                         x = 9/16

                          x = 0.5625 hours.

Therefore,

Montserrat bracelets can she make per hour = 0.5625 hours

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The line passing through point [tex]F[/tex] that is skew to [tex]\overleftrightarrow{EH}[/tex] is [tex]\overleftrightarrow{CF}[/tex] .

Skew lines are two parallel but non-intersecting lines. The two lines that pass through the opposing edges of a normal tetrahedron are a straightforward illustration of a pair of skew lines.

To check if two lines are skew we need to check by following the steps mentioned below:

Step 1: Find lines that do not cross one another.

Step 2: Verify that these line pairs are not also parallel to one another.

Step 3: Check whether these non-intersecting, non-parallel lines are non-coplanar. If the answer is affirmative, the selected pair of lines are skew.

Therefore, the line [tex]\overleftrightarrow{CF}[/tex] passes through point F, the line is not parallel to the line [tex]\overleftrightarrow{EH}[/tex]  and is also non-coplanar. Both the lines do not intersect each other.

Hence, [tex]\overleftrightarrow{CF}[/tex] and [tex]\overleftrightarrow{EH}[/tex] are skew lines.

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Each issue will cost £3.5 if a yearly subscription to a monthly magazine costs £42.00.

Given, a yearly subscription to a monthly magazine costs £42.00 i.e., 12 months to a monthly magazine costs £42.00.

one month will cost £42.00 divide by 12 and let it be x.

we simply calculate the value of x by dividing £42.00 by 12.

x = 42.00/12

x = 3.5

x = £3.5

Therefore, each issue will cost £3.5 if a yearly subscription to a monthly magazine costs £42.00.

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The domain of the function is given by: 0 ≤ c ≤ 150

The range of the function is given by : 0 ≤ p(c) ≤ 112.5

The range of values that we are permitted to enter into our function is known as the domain of a function.

The given statement states that the profit from selling 150 cups of lemonade is denoted by p(c) such that p(c) = 0.75c

Now the girls can sell a maximum of 150 lemonades.

Hence the domain of the values are : 0 ≤ c ≤ 150

at x=0 , p(c) = 0.75 × 0 = 0

at x= 150 , p(c) = 0.75 × 150 = 112.50

Therefore the range of the function is :  0 ≤ p(c) ≤ 112.5

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The number of parallel sides that the translated figure will have is 2 pairs of parallel sides.

We are given the properties of the figure as;

Number of Parallel sides = Two Pairs

Number of Right Angles = 4

Now, a rectangle is the figure that has two pairs of opposite sides parallel, and four right angles. A square could also have this same properties.

Now, if the figure is translated by 4 units down, according to transformation, that does not change the dimension of the figure and as such it retains same number of parallel sides.

Thus, the number of parallel sides that the translated figure will have is 2 pairs of parallel sides.

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The simplified form of the given expression is 45.

The given expression is 32+(6-2)4-3.

An expression in math is a sentence that contains at least two numbers/variables and at least one math operation. The mathematics operators will be addition, subtraction, multiplication and division.

The expression is 32+(6-2)4-3.

Firstly, we will simplify the subtraction which is in the bracket, we get

32+(6-2)4-3=32+(4)4-3

Now, we will simplify the multiplication, we get

32+(6-2)4-3=32+16-3

Further, we will simplify the addition, we get

32+(6-2)4-3=48-3

Furthermore, we will simplify the subtraction, we get

32+(6-2)4-3=45

Hence, the simplified form of the given expression 32+(6-2)4-3 is 45.

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The actual area of the bedroom is bigger than the actual area of the kitchen.

The area a rectangle occupies is the space it takes up inside the limitations of its four sides. The area of a rectangle is determined by its dimensions. A rectangle's area is essentially equal to the product of its length and breadth.

In the drawing, the kitchen is in the shape of a rectangle with dimensions of 12 cm × 27 cm.

Therefore, the area of the rectangle will be:

Area = Length × Breadth

Area = 12 cm × 27 cm

Area = 324 cm²

Now, the actual area of the bedroom is 300,000 cm².

Then the difference between the area,

difference = bedroom - kitchen

difference = 300,000 - 324 cm²

difference = 299676 cm²

Therefore, the area of the bedroom is bigger than the area of the kitchen.

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Answer:

she should open a regular account to keep her money safer

Step-by-step explanation:

Drawn using the same scale, the shape of the normal curve H will be more spread out than the shape of the normal curve G.

Normal curve, or Gaussian distribution, is a curve that describes data form a variable that has infinite, or very large, number of possible values distributed among the population. It has a symmetric shape, and the distribution rises in the middle, and goes down to the left and to the right. The mean is equal to the mode and median and is located at the middle or top of the curve.

If two normal curves have the same mean, but different standard deviations, then the curve with the larger standard deviation will have a more spread out shape than the other.

If Normal curve H has a standard deviation of 10 and normal curve G has 5, but both has the same mean, then Normal curve H has a more spread out shape than the curve of normal curve G.

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The stemplot gives a correct comparison of eastern and western states’ expenditures as The eastern states have, on average, a higher per-pupil expenditure than the western states.

The Eastern States have expenditure per pupil which are higher in number and in quantity. For instance, they have per-pupil expenditure of $153, $154, $155, and $156. They also have $191, and $190.

When compared to the western states therefore, the eastern states seem to on average, spend more per-pupil.

Options for this question include:

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1) The equation that shows the cost of sheet metal per foot, s/ft² = $183 ÷ 6.1 ft².

2) The solution of the equation shows that sheet metal costs $30 per foot.

An equation is a mathematical expression that states that two variables are equal.

Equations are stated using the equation symbol (=).

The total quantity of sheet metal bought = 8.2 ft²

The total quantity of sheet metal used = 2.1 ft²

The remaining quantity of sheet metal = 6.1 ft² (8.2 ft² - 2.1 ft²)

The value of the remaining quantity of sheet metal = $183

The cost of sheet metal per foot = $30 ($183/6.1 ft²) or ($183 ÷ 6.1 ft²)

Thus, the cost of sheet metal is $30 per foot.

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Answer:

(-a)(-b)

-a ×-b

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