Solve the system using elimination. 5x = –25 + 5y 10y = 42 + 2x

34 gallon containers of paint can the painter buy.

Given that, A painter is buying gallon containers of paint. He has $375 to spend and each gallon container costs $11.

We need to find out how many gallon containers of paint can the painter buy.

The unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit. It is a method that we use for most of the calculations in math.

Now, the number of gallon containers of paint can the painter buy=375/11

=34.09

Therefore, 34 gallon containers of paint can the painter buy.

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Final answer:

The number of hours when the cost of renting a jet ski from two different companies is the same is 5 hours, when rounded to the nearest whole number.

Explanation:

To find the number of hours where the cost to rent a jet ski from two different companies is the same, we can set up two equations to represent the cost from each company and solve for the number of hours.

For the first company, the cost C is given by C = 26 + 1h, where h represents the number of hours.

For the second company, the cost C is given by C = 14.75 + 3.25h.

To find when the costs are the same, we set the two equations equal to each other:

26 + 1h = 14.75 + 3.25h

Now we solve for h:

Subtract 1h from both sides: 26 = 14.75 + 2.25h

Subtract 14.75 from both sides: 11.25 = 2.25h

Divide both sides by 2.25: h = 11.25 / 2.25

Calculate h: h = 5 hours

Therefore, the number of hours at which the costs are the same, when rounded to the nearest whole number, is 5 hours.

Answer:

7.70

Step-by-step explanation:

The measure of the missing angle is 113.28°.

We can use the Law of Sines to determine the measure of the missing angle by assuming that it is opposite side c.

According to the Law of Sines, any triangle ABC:

a/sin(A) = b/sin(B) = c/sin(C)

So, Substituting the given values

16/sin(42°) = 10/sin(B) = c/sin(C)

Now, take first two ratios

sin(B) = 10*sin(42°)/16

sin (B) ≈ 0.4182

B ≈ sin⁻¹(0.4182)

B ≈ 24.72°

Using Angle Sum property

A + B + C = 180°

A + 42° + 24.72° = 180°

A ≈ 113.28°

Thus, the measure of the missing angle is 113.28°.

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The revenue function for Gymnast Clothing is R(x) = 110x. The profit function is P(x) = 110x - (3000 + 10x + 0.2x^2). To determine the profit maximizing quantity, we need to find the value of x that makes P(x) greater than zero.

To find the revenue function for Gymnast Clothing, we need to multiply the number of hockey jerseys sold (x) by the selling price per jersey ($110). Therefore, the revenue function is R(x) = 110x.

To find the profit function, we subtract the cost function C(x) from the revenue function R(x). Therefore, the profit function is P(x) = R(x) - C(x). Substituting the given cost function, we have P(x) = 110x - (3000 + 10x + 0.2x^2).

To determine how many jerseys Gymnast Clothing should manufacture to make a profit, we need to find the value of x that makes P(x) greater than zero. We can solve this mathematically or graphically. In this case, it is more efficient to solve it graphically by plotting the profit function and finding the quantity that corresponds to a positive profit.

The equation can be written as x+4=x^2 is \sqrt{x+4} =x, where x>0.

[tex]\sqrt{x+4} =x[/tex]

If we square both sides of the equation

We can rid of the exponent on the right side and add a square root to

x + 4.

[tex]\sqrt{x+4}=x[/tex]

Squaring on both sides we have,

The square root of a number is that factor of a number that when multiplied by itself gives the original number.

[tex](\sqrt{x+4}})^2=x^2[/tex]

x+4=x^2

Therefore, The equation can be rewritten as x + 4 = x^2.

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The insurance company is obligated to pay $99,000 for the claim of the stolen family heirloom ring.

Rowena's basic homeowners' insurance policy has a coverage limit of $150,000 with a $1,000 deductible. The deductible is the amount that Rowena must pay out of pocket before the insurance company pays for a claim.

When the family heirloom ring worth $100,000 is stolen, the insurance company will cover the value of the ring up to the policy limit minus the deductible.

Since the value of the ring is within the policy limit, the calculation for the amount the insurance company is obligated to pay is as follows:

Value of the ring = $100,000

Deductible = $1,000

Amount covered by insurance = Value of the ring - Deductible

Amount covered by insurance = $100,000 - $1,000

Amount covered by insurance = $99,000

Scientific notations are the way through which a very small or a very large number can be written in shorthand. The area of Greenland in scientific notation is 8.4×10⁵ square miles.

Scientific notations are the way through which a very small or a very large number can be written in shorthand. In scientific notations when a number between 1 and 10s is multiplied by a power of 10.

For example, 6,500,000,000,000 can be written as 6.5e+12.

The given area of Greenland is 840,000 square miles. Therefore, the area of Greenland in scientific notation can be written as,

Area of Greenland = 840,000 square miles

                               = 8.4 × 10⁵ square miles

Hence, the area of Greenland in scientific notation is 8.4×10⁵ square miles.

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Answer:

The answer is 2.

Step-by-step explanation:

In order to determine the value of the expression, we have to know about absolute value function.

The absolute value function is a function that only change the sign into positive and maintain the values. It is represented by " | x | " where x can be any number.

For example, if [tex]x=-2[/tex]

[tex]|x|=|(-2)|=2[/tex]

In this case, we have the next values:

[tex]a=5\\b=-3\\\\|a|-|b|\\|5|-|(-3)|\\5-3\\2[/tex]

Finally, the value of the expression is 2.

Answer:

Caroline expect to earn is $63 .

Step-by-step explanation:

As given

Caroline works in Shelley’s store.

She earns $36 for a 4-hour shift.

Thus

[tex]Caroline\ earns\ for\ one\ hour\ shift = \frac{Total\ hour\ of\ earning}{Number\ of\ hour}[/tex]

[tex]Caroline\ earns\ for\ one\ hour\ shift = \frac{36}{4}[/tex]

Caroline earns for one hour shift = $ 9

As given

If  Caroline works for 7 hours .

Thus

Caroline earns from work = Caroline earns for one hour shift × Number of hour .

                                          = 9 × 7

                                          = $ 63

Therefore the  Caroline expect to earn is $63 .

The triangle with the given side lengths are scalene triangles.

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

An isosceles triangle has two sides of equal length. A scalene triangle has sides lengths of different sizes. A right angled triangle have side length in which the sum of the square of the two sides is equal to the square of the third side.

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The conjecture is true; by determining the pattern of increasing differences between consecutive numbers (increasing by 3), we can conclude that adding 12 to the last number, 13, gives us the next number in the sequence, which is 25.

The conjecture that the next number in the sequence -5, -2, 4, 13 is 25 can be tested by looking at the pattern of how the numbers are increasing. To do this, let's look at the differences between the numbers:

We see that the differences between the numbers are increasing by 3 each time (3, 6, 9). Therefore, if we continue this pattern, the next difference should be 9 + 3 = 12. If we add 12 to the last number in the sequence, 13, we get:

13 + 12 = 25

Therefore, the conjecture is true. The next number in the sequence is indeed 25.

Final answer:

The correct option (C) identity property of multiplication. The equation 2*1=2 demonstrates the identity property of multiplication, indicating that any number multiplied by 1 yields the same number.

Explanation:

The mathematical property shown by the equation 2*1=2 is the identity property of multiplication. This property states that any number multiplied by 1 yields the number itself. Therefore, the correct answer is C.identity property of multiplication.

The identity property is essential because it confirms that 1 is the multiplicative identity in the set of real numbers.

Unlike the commutative property, which deals with the order of multiplication, or the associative property, which deals with the grouping of numbers, the identity property simply confirms that a number remains unchanged when multiplied by 1.

Answer:

I agree as well, the answer is 24/25. =)

Step-by-step explanation:

never and never

 2 negatives multiplied by each other = a positive number

 lets look at the first one:

 let a = -2

 you then have -2*(1/-2) = -2 * (-.5) = 1 ( positive 1 )

2nd eq, multiply a negative by a negative:

a = -3, b=-4, -3*-4 = 12 ( positive 12)

 both equations give positive numbers for answers

The price to mail a package weighing 13 lbs can vary depending on the carrier and the type of service, but it typically ranges from about $20 to $100. Always check current rates on the carrier's website or at a local post office.

The cost to mail a package can vary considerably depending on various factors such as the carrier (USPS, UPS, FedEx, etc.), the package's size and shape, the destination, and the speed of delivery. However, assuming you're using USPS, their pricing often depends on the weight of the package. A package weighing 13 lbs currently could cost anywhere from around $20 to $100, based on various factors and the type of service you choose (like priority mail or ground shipping). It's always best to check the current rates on the carrier's website or at a local post office.

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