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Vinvika [58]
3 years ago
10

When I evaluate expressions I must follow the order of operations?

Mathematics
1 answer:
Serga [27]3 years ago
4 0

Yes you must, or you will not get the right answer.

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Find the total cost of a $43 dinner if you leave 18% gratuity (tip).   
AleksandrR [38]
50.74
B/c 43*.18=7.74 
7.74+43=50.74

hope this helps
8 0
3 years ago
Please help and explain how you got your answer
snow_lady [41]

Answer:

K = 3

Step-by-step explanation:

<em>-11.K </em><em>=</em><em> </em><em>-</em><em>3</em><em>3</em>

<em>K </em><em>=</em><em> </em><em>-</em><em>3</em><em>3</em><em>/</em><em>-</em><em>1</em><em>1</em>

<em>K </em><em>=</em><em> </em><em>3</em><em> </em>

<em>.</em>

<em>.</em>

<em>.</em>

<em>Hope </em><em>it </em><em>helps</em>

4 0
3 years ago
Read 2 more answers
What is the true solution to the equation below? 2 in e in2×-in e in 10×= in 30 A x=30 B x=75 C x=150 D x=300
hodyreva [135]

Answer:

Option B.

Step-by-step explanation:

Let as consider the given equation:

2\ln e^{\ln 2x}-\ln e^{\ln 10x}=\ln 30

It can be written as

2(\ln 2x)-(\ln 10x)=\ln 30         [\because \ln e^a=a]

\ln (2x)^2-(\ln 10x)=\ln 30        [\because \ln a^b=b\ln a]

\ln \dfrac{4x^2}{10x}=\ln 30        [\because \ln \dfrac{a}{b}=\ln a-\ln b]

\ln \dfrac{2x}{5}=\ln 30

On comparing both sides, we get

\dfrac{2x}{5}=30

Multiply both sides by 5.

2x=150

Divide both sides by 2.

x=75

Therefore, the correct option is B.

7 0
3 years ago
How do you rationalize the numerator in this problem?
maw [93]

To solve this problem, you have to know these two special factorizations:

x^3-y^3=(x-y)(x^2+xy+y^2)\\ x^3+y^3=(x+y)(x^2-xy+y^2)

Knowing these tells us that if we want to rationalize the numerator. we want to use the top equation to our advantage. Let:

\sqrt[3]{x+h}=x\\ \sqrt[3]{x}=y

That tells us that we have:

\frac{x-y}{h}

So, since we have one part of the special factorization, we need to multiply the top and the bottom by the other part, so:

\frac{x-y}{h}*\frac{x^2+xy+y^2}{x^2+xy+y^2}=\frac{x^3-y^3}{h*(x^2+xy+y^2)}

So, we have:

\frac{x+h-h}{h(\sqrt[3]{(x+h)^2}+\sqrt[3]{(x+h)(x)}+\sqrt[3]{x^2})}=\\ \frac{x}{\sqrt[3]{(x+h)^2}+\sqrt[3]{(x+h)(x)}+\sqrt[3]{x^2}}

That is our rational expression with a rationalized numerator.

Also, you could just mutiply by:

\frac{1}{\sqrt[3]{x_h}-\sqrt[3]{x}} \text{ to get}\\ \frac{1}{h\sqrt[3]{x+h}-h\sqrt[3]{h}}

Either way, our expression is rationalized.

7 0
3 years ago
You are remodeling your bedroom. You will paint all 4 walls and the door. There are no windows in the room. The floor is 9' by 1
Aleksandr [31]

Answer:

Part 1) The area of the 4 walls is 368\ ft^2

Part 2) You will have to buy 2 gallons

Part 3) You will have to buy 3 gallons

Part 4) \$75

Part 5) The area of the floor is 126\ ft^2

Part 6) \$850.5

Part 7) \$1,008

Part 8) \$472.5

Step-by-step explanation:

Part 1) What is the area of all 4 walls together?

we know that

The area of all 4 walls together is equal to the perimeter of the floor multiplied by the height of the wall (8 ft)

so

The perimeter of the floor is

P=2(9+14)=46\ ft

The area of the walls is

46(8)=368\ ft^2

Part 2) If a gallon of paint covers 350 sq. ft., How many gallons will you have to buy?

using proportion

\frac{1}{350}\ \frac{gal}{ft^2}=\frac{x}{368}\ \frac{gal}{ft^2}\\\\x=368/350\\\\x=1.05\ gal

Remember that you can't buy a fraction of gallon

so

You will have to buy 2 gallons

Part 3) How many gallons will it take to put on 2 coats of paint?

Now the area will be

368(2)=736\ ft^2

using proportion

\frac{1}{350}\ \frac{gal}{ft^2}=\frac{x}{736}\ \frac{gal}{ft^2}\\\\x=736/350\\\\x=2.10\ gal

Remember that you can't buy a fraction of gallon

so

You will have to buy 3 gallons

Part 4) If the paint costs $25 per gallon, and you are applying 2 coats of paint, how much will you spend on paint?

To find the cost multiply the number of gallons by $25 per gallon

so

3(25)=\$75

Part 5) What is the area of the floor?

The area of the floor (rectangle ) is equal to multiply the length of the floor by the width of the floor

A=(9)(14)=126\ ft^2

Part 6) What is the cost to redo the floor in oak?

To find the cost multiply the area of the floor by $6.75 per square foot

so

126(6.75)=\$850.5

Part 7) What is the cost to redo the floor in maple?

To find the cost multiply the area of the floor by $8.00 per square foot

so

126(8.00)=\$1,008

Part 8) What is the cost to redo the floor in carpet?

To find the cost multiply the area of the floor by $3.75 per square foot

so

126(3.75)=\$472.5

5 0
3 years ago
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