3x+7x−28+31−8x for x=2043

The simplified expression is:
The value is:

Chay can use 3 bags of mulch per flower bed.

Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.

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Answer:

Step-by-step explanation:

Answer:

\(14\text{ and }16\)

Step-by-step explanation:

Let the smaller number be \(x\). Since they are consecutive even numbers, the larger number can be represented by \(x+2\).

Therefore, we have the following equation:

\(8(x+2)-5x=58,\\8x+16-5x=58,\\3x=42,\\x=\boxed{14}\)

Thus, the larger number is \(x+2=\boxed{16}\)

The limit does not exist at the jump discontinuity at x = -2.

From the left, the green-ish curve approaches 4; from the right, the orange curve approaches 6. These one-sided limits are not equal, so the two-sided limit does not exist.

A limit of a function does not exist at a point x is the limit of f(x) approaching x to the left is different of the limit of f(x) approaching x to the right.

Using this concept, we find that the limit does not exist at c = -2.

Points we need to verify:

Points in which there are changes in the definition of the function, which are:

x = -4, -2, 2, 4

At x = -4

The definitions are bunched together, so the lateral limits are the same, and the limit exists.

At x = -2

As the function approaches x = -2 to the left(x < -2), its value is close to 4, so the limit is 4.

As the function approaches x = -2 to the right(x > -2), its value is close to 6, so the limit is 6.

Since the lateral limits are different, for c = 2, the limit does not exist, and this is the correct answer.

At x = 2

The lateral limits are the same, the only thing that changes is the definition of the function at x = 2, which does not affect the limit, which exists.

At x = 4

The definitions are bunched together, so the lateral limits are the same, and the limit exists.

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Answer:

1.74533

Step-by-step explanation:

Answer:

Step-by-step explanation:

If cakes of 4 small and 4 large tiers serve 288 guests, and 3 small and 5 large tiers serve 316 guests, you want to know the number of guests served by a tier of each size.

Let 's' and 'l' represent the numbers of guests served by small and large cake tiers, respectively. The first cake serves ...

  4s +4l = 288

And the second cake serves ...

  3s +5l = 316

Subtracting 3/4 of the first equation from the second gives ...

  (3x +5l) -3/4(4s +4l) = (316) -3/4(288)

  2l = 100

  l = 50

  4s +4(50) = 288 . . . substitute for l in the first equation

  4s = 88 . . . . . . . . . . subtract 200

  s = 22 . . . . . . . divide by 4

A small tier will serve 22 guests; a large tier will serve 50 guests.

We can claim that after answering the above question, the So, logarithm \(log4 (0.5^(1/2)) =-0.0752\)

The logarithm is a power's reciprocal in mathematics. Accordingly, the exponent by which b must be raised to obtain a number x equals the logarithm of that number in base b. For instance, since 1000 = 103, its base-10 logarithm is 3, or log10 = 3. As an illustration, the base 10 logarithm of 10 is 2, while the square of 10 is 100. Log 100 = 2. To answer a question like, For example, how many times must a base of 10 be multiplied by itself to achieve 1,000, a logarithm (or log) is the mathematical term utilized. The solution is 3 (1,000 = 10 10 10).

Using the following property of logarithms:

\(log_a (b^c) = c * log_a (b)\\log4 (0.5^(1/2))\\(1/2) * log4 (0.5)\\log4 (0.5) = log (0.5) / log (4)\\log (0.5) ≈ -0.3010\\log (4) = 2\)

Therefore,

\(log4 (0.5) ≈ -0.3010 / 2 ≈ -0.1505\\(1/2) * log4 (0.5) ≈ (1/2) * (-0.1505) ≈ -0.0752\\\)

So, \(log4 (0.5^(1/2)) =-0.0752\)

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Answer: The answer is (x-5)^2

Answer:

3x-2y+7z-4

Step-by-step explanation:

Reorder -2y+7z-4

The baker would need 47. 25 cups of floor

We need to know that proportion is a form of mathematical comparison with two equations made equal to each other.

From the information given, we have that;

baker used 33 3/4 cups of flour to make 15 batches of cookies

This is represented as;

Convert to improper fractions

135/4 cups = 15 batches of cookies

Then, x cups = 21 batches of cookies

cross multiply the values

15x = 708. 75

Divide both sides by the coefficient of x, we have ;

x = 708. 75/15

x = 47. 25 cups of floor

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These are our two tables of values for the following functions using the integers from -4 to 4.

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given:

The given functions using the integers from -4 to 4 are

a. F(x)=6/x-2b.

r(x)=6x+12/x²-4

According to given question we have

f(x) = 6/x - 2

Now we just need to evaluate the function in all the given points:

a) f(x) = 6/x - 2

Now we can put the value

f(-4) = 6/(-4) - 2 =  -3/2 - 4/2 = -7/2

f(-3) = 6/-3 - 2 = -4

f(-2) = 6/-2 - 2 = -5

f(-1) = 6/-1 - 2 = -8

f(0) is undefined

f(1) = 6/1 - 2 = 4

f(2) = 6/2 - 2 = 1

f(3) = 6/3 - 2 = 0

f(4) = 6/4 - 2 = -1/2

b. r(x)=6x+12/x²-4

Now we can put the value

r(-4) = 6(-4)+12/(-4)²-4=-27.25

r(-3) = 6(-3)+12/(-3)²-4=-20.66

r(-2) = 6(-2)+12/(-2)²-4=-13

r(-1) = 6(-1)+12/(-1)²-4= 2

r(0) = 6(0)+12/(0)²-4= ∞

r(1) = 6(1)+12/(1)²-4 =14

r(2) = 6(2)+12/(2)²-4=11

r(3) = 6(3)+12/(3)²-4 =15.33

r(4) = 6(4)+12/(4)²-4=20.75

Therefore, these are our two tables of values for the following functions using the integers from -4 to 4.

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Answer:

3.8 feet = radius (approx. value)

Step-by-step explanation:

Area of the rug = 44 feet²

Radius = r = ?

Take π = 22/7

Area = πr²

44 = 22/7 × r²

44 × 7/22 = r²

14 = r²

√14 = r

3.8 feet = radius (approx. value)

Hope it helps ⚜

\(area = 44 \: {ft}^{2} \)

the radius of the rug rounded to the nearest tenth.

\(a = \pi {r}^{2} \)

\(r = \sqrt{ \frac{a}{\pi} } \)

\(r = \sqrt{ \frac{44}{\pi} } \)

\(r = 3.74241\)

\(nearest \: tenth = 3.7 \: ft\)

hence, the radius is 3.7 foot

The value of the variable x = 21/32

Algebraic expressions are simply described as expressions that are composed of variables, coefficients, terms, constants and factors.

These expressions are also made up of certain arithmetic or mathematical operations.

These operations includes;

From the information given, we have that;

3/8=4/7x

cross multiply the values, we have;

7x(3) = 8(4)

multiply the values and expand the brackets, we get the values;

21x = 32

Divide both sides by the coefficient of the variable x, we get;

x = 32/21

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Answer: y = -4x + 18

Both equations have the same slope.

y = -4x + b

x = 3

y = 6

6 = -4(3) + b

6 = -12 + b

6 + 12 = b

Answer:

C

Step-by-step explanation:

When my parents rented a house, they had to pay utility (gas, water, bill) because it really just depends on how much we pay. Homeowner's insurance is not necessary since you don't own the house, property taxes are paid by the leaser, and repairs are usually covered by your security deposit or down payment.

Answer:

Utility bills

Step-by-step explanation:

No homeowners insurance because you are the renter

No property taxes because you don't own the property

Repairs are the responsibility of the landlord

Answer:

14

Step-by-step explanation:

Answer:

It has to be 14

Step-by-step explanation:

42/3 is 14

Answer:

15mg/ml

Step-by-step explanation:

Percent mass per volume ( % m/v) is unit expression that tells us how many grams of a solute that we can find 100 ml of a particular solution.

In the above question, we are asked to express 1.5%w/v Bepotastine besilate (BEPREVE) ophthalmic solution as mg/mL

Step 1

1.5% w/v = 1.5 g of Bepotastine besilate (BEPREVE) in 100ml ophthalmic solution

Hence, if

100ml = 1.5g

1 ml = y g

We Cross Multiply

100ml × yg = 1 ml × 1.5g

yg = 1 ml × 1.5g/100ml

= 0.015g

Therefore, in 1 ml we have 0.15 g.

Step 2

Since we are asked to express as mg/ml

We convert 0.015g to mg

1 gram = 1000 milligrams

0.015 grams =

Cross Multiply

0.015grams × 1000 milligrams/ 1 gram

= 15 mg

Therefore, the concentration in mg/ml of 15% m/v of Bepotastine besilate (BEPREVE) ophthalmic solution is 15mg/ml

Step-by-step explanation:

\(x {}^{4} - 8x {}^{2} + 16 \\ \\ by \: using \: middle \: term \: split \\ \\ x {}^{4} - 4x {}^{2} - 4x {}^{2} + 16 \\ \\ taking \: out \: common \\ \\ x {}^{2} (x { - 4)} - 4(x {}^{2} - 4) \\ \\ (x {}^{2} - 4)(x {}^{2} - 4)\)

Answer:

w<13

Step-by-step explanation:

Works identically to a normal single-variable equation.
Subtract 7 on both sides in order to isolate w--->w+7-7<20-7
The answer (which cannot be simplified any further) is w<13.

Answer:

w < 1`3

Step-by-step explanation:

Isolate the variable w on one side of the inequality sign.

w+7<20

w<20 - 7

w<13.

The number of balloons needed to fill the room is given as follows:

5729 balloons.

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:

Volume = length x width x height.

The dimensions of the room are given as follows:

15 ft, 25 ft and 8 ft.

Hence the volume is given as follows:

V = 15 x 25 x 8

V = 3000 ft³

The volume of a sphere of radius r is given by the multiplication of 4π by the radius cubed and divided by 3, hence the equation is presented as follows:

V = 4πr³/3.

The balloon has a radius of 0.5 ft, hence it's volume is given as follows:

V = 4π x 0.5³/3

V = 0.5236 ft³.

Then the number of balloons is obtained as follows:

3000/0.5236 = 5729 balloons.

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Answer: √195 or 13.96424004

Step-by-step explanation:

Answer:

\(\sqrt{195}\)

Step-by-step explanation:

Given:

\(\sqrt{3} \cdot \sqrt{5} \cdot \sqrt{13}\)

\(\textsf{Apply the radical rule} \quad \sqrt{a}\sqrt{b}=\sqrt{ab}:\)

\(\implies \sqrt{3 \cdot 5 \cdot 13}\)

\(\implies \sqrt{15 \cdot 13}\)

\(\implies \sqrt{195}\)

This cannot be simplified any further.

Answer:

65,536 kg

Step-by-step explanation:

First rearrange and solve for sqrt of 25(which is 5)

ƒ(x)= -x^2-5

range: y\(\le\)5

domain: x x=can be anything because all values are defined

The robber earned approximately $4,824.22 in interest over the 9-year period.

To calculate the interest earned by the robber, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the final amount,

P is the principal amount (initial investment),

r is the interest rate (expressed as a decimal),

n is the number of times interest is compounded per year,

and t is the number of years.

In this case, the robber sold the stolen jewelry for $10,000 and deposited it in a bank account in London. The interest rate is 4% per year, compounded monthly (n = 12). The time period is 9 years (t = 9). Substituting these values into the formula, we get:

A = 10,000(1 + 0.04/12)^(12*9)

Calculating this expression, we find that A is approximately $14,824.22.

To find the interest earned, we subtract the initial principal from the final amount:

Interest earned = A - P

= $14,824.22 - $10,000.00

= $4,824.22.

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a) Using the four basic mathematical operations, the number of balloons that each person hang up is 9.

b) An equation representing the situation is x = (125 - 80)/5.

The four basic mathematical operations include addition, subtraction, division, and multiplication.

The mathematical operations provide solutions to mathematical problems using operands.

An equation is a mathematical statement showing that two or more mathematical expressions are equal or equivalent.

The total number of balloons that Andre has = 125

The number of balloons remaining after hanging some for the school party = 80

The difference (number of balloons used) = 45 (125 - 80)

The number of friends who hang the balloons = 5

The number of balloons hung by each friend of Andre = 9 (45/5)

Thus, we can conclude that each of the 4 friend and Andre hung 9 balloons, with 80 remaining.

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Answer:

A since A is left blank its A

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