Write an algebraic expression with the variable x that has a value of 3 when evaluated

Answers

Answer 1

Answer: x=23

(x+5) - 25 = 3?

If this is what you mean.

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Ramil and Carly collected the honey from 4 of his beehives. From the first hive collected 1/3 gallons of honey. The last hives yielded 1/4 gallon each. How many gallons of honey did Ramil and Carly collect in all?

Answers

Answer:

We know that:

First hive gave 1/3 gallon.
The other three hives gave 1/4 gallon each.

To find the total gallons of honey, we just have to sum all of it.

$H=(1)/(3)+(1)/(4)+(1)/(4)+(1)/(4)\nH=(1)/(3)+3(1)/(4)\nH=(1)/(3)+(3)/(4)\nH=(4+9)/(12)=(13)/(12)$

As a mixed number:

$(13)/(12)=1(1)/(12)$

Therefore, Carly collected 1 and 1/12 gallons. Or, 1.08 gallons in total.

Last summer Katie mowed lawns to earn money. She mowed 35 lawns per week. And it’s $6 per lawn. She wants to earn $150 additionally than last year so she raises her price to $8.a.) If Katie finds 4 new customers and still keeps the old one’s will she make an additional $150 per week? Yes, she does actuall

b.) If Katie finds 13 new customers will she earn an additional $150 per week?

c.) If she finds 8 new customers will she earn an additionally $150 per week?

d.) Write down an equation to find the number of new customers Katie needs to earn additionally $150.

2.) Tony has a $100 certificate to a music store website. The store offers a 15%discount off the retail of CD’S. Tony must also pay $12 for shipping per order. Find whether Tony can buy each order given.

a.) 6 CD’s for $15.99 each
b.) 7 CD’s for $15.99 each
c.) 2CD’s for $15.99 each and 5 CD’s $11.99 each
d.) Tony wants to spend exactly $100 including the discount and shipping cost. What is the greatest total retail price he can afford?

3.) If Cameron pays $15 to join the big books club then, he gets 10% off the price of each book. For each amount given that he spends on books. Will he save money by joining the club?

a.) $70
b.) $250
c.) $100
d.) How much money does Cameron need to spend so that the cost of his books is the same whether he joins the club or not?

Answers

the fist one is b, second one is d, and the last one also d

The answer is first one:b, second one:d, and The last one is also d

[hope this helps]

Can you solve 2(2x-1)+2x=6(x-1) for me? I am not sure how. And how many solutions are there?

Answers

2(2x-1)+2x = 6(x - 1)

4x - 2 + 2x = 6x - 6

6x - 2 = 6x - 6

Subtract both sides by 6x and we have -2=-6, which is false equation, therefore there is no solution.

~~~ 20 POINTS ~~~Country Carpets charges $22 per square yard for carpeting, and an additional installation for $100. City Carpets charges $25 per square yard for the same carpeting, and an additional installation fee of $70.

a. Write and solve an equation to find the number of square yards of carpeting for which the total cost charged by the two companies will be the same.

b. Mr. Shu wants to hire one of the two carpet companies to install carpeting in his basement. Is he more likely to hire Country Carpets or City Carpets? Explain your reasoning.

Answers

A) Lets write our equations.

22x + 100 = 25x + 70

Now lets solve step-by-step.

Apply the inverse operation 22x + 100 = 25x + 70
-22x -22x

25x - 22x = 3x

3x + 70 = 100
-70 - 70 We subtract 70 from both sides because (inverse operation)

3x = 30

3x/3 = 30/3
x = 30/3
x= 10

B) We need to find which one is the most cheap.

Lets pick an integer to replace x.

22x + 100 = 25x + 70

Lets choose '2'

22(2) + 100 = 25(2) + 70
44 + 100
50 + 70

144
120

The first one : Country Carpets charges $144 , while at the same rate, City carpets charges 120.

So, obviously, City Carpets is cheaper than that other one, so he would most likely choose that one.

a.
Let x be the number of square yards of carpeting for which the total cost charged by the two companies will be the same.

We have an expression for the total cost of Country Carpets:
($22/ 1 yd^2)* (x yd^2) + $100
= $22*x+ $100
or 22x+ 100

We also have another expression for the total cost of City Carpets:
($25/ 1 yd^2)* (x yd^2)+ $70
= $25*x+ $70
or 25x+ 70

Now set the two expressions to be equal:
22x+ 100= 25x+ 70
⇒ 100- 70= 25x -22x
⇒ 30= 3x
⇒ 30/3= x
⇒ 10= x

The final answer for a is 10 square yards of carpeting~

b.
Let's assume that Mr. Shu wants to install carpeting for 1 square yard.

Country Carpets: $22*1+ $100= $122
City Carpets: $25*1+ $70= $95

Therefore, Mr. Shu will be likely to choose City Carpets if he wants to install carpeting for 1 square yard.

Now let's try x=11 (square yard):
Country Carpets= $22*11+ $100= $342
City Carpets= $25*11+ $70= $345

Therefore, Mr. Shu will be likely to choose Country Carpets if he wants to install carpeting for 11 square yard.

If you paid really close attention, you would notice that the price of City Carpets will be cheaper than the other when x is >0 and <10. At x=10, the price is equal. When x is >10, the price of Country Carpets will be cheaper than the other one.

So it depends:
If x were >0 and <10, Mr. Shu would be likely to choose City Carpets.
If x were 10, Mr. Shu could choose either Country Carpets or City Carpets.
If x were > 10, Mr. Shu would be likely to choose Country Carpets.

Hope this helps~

What is $\pi ^(2) +56 ^(2)$

Answers

$\pi^(2)$ = π × π, which is approximately 9.87.
$56^(2)$ = 56 × 56, which is 3136.

3136 + 9.87 = 3145.87

The answer is ≈ 3145.87.

There are 8 volunteers at the telethon. The goal for the evening is to raise $952. If each volunteer raises the same amount, what is the minimum amount each needs to raise to meet the goal

Answers

You have to divide 8 by 952 .952 ÷ 8= 119. 119 is your answer

You have to divide the money by the volunteers. 952/8=119

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