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storchak [24]
3 years ago
9

The number of states that joined the United States between 1776 and 1849 is twice the number of states that joined between 1850

and 1900. If 30 states joined the United States between 1776and 1849 and x states joined between 1850 and 1900, which of the following equations is true?
a. 30x = 2
b. 2x = 30
c. x/2 = 30
d. x + 30 = 2
Mathematics
1 answer:
AlexFokin [52]3 years ago
8 0

Answer: b. 2x = 30

Step-by-step explanation:

Given : <u>30 states</u> joined the United States between 1776 and 1849

and <u>x states</u> joined between 1850 and 1900 .

If the number of states that joined the United States between 1776 and 1849 is twice the number of states that joined between 1850 and 1900.

i.e. No. of states joined the United States between 1776 and 1849= 2 (No. of states that joined between 1850 and 1900)

i.e . 30=  2(x)          [Substitute the values]

i.e . 2x=30

Hence, the true equation : 2x=30

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Shanghai Company sells glasses, fine china, and everyday dinnerware. It uses activity-based costing to determine the cost of the
Natali5045456 [20]

Question continuation

(a) Determine the shipping and handling activity for each product and

(b) determine the total shipping and receiving costs for the china if 3,500 boxes are shipped.

Answer:

(a)

For Glass = $14

For Fine China = $28

For Everyday dinner = $42

(b) $28 * 3,500 = $98,000

Step-by-step explanation:

Given

Shipping and Handling Activity = $7 per pound

Box of glass = 2 pounds

Box of fine China = 4 pounds

Box of everyday dinner = 6 pounds

a.

Shipping and Handling Activity

For Glass = $7 * 2

For Glass = $14

For Fine China = $7 * 4

For Fine China = $28

For Everyday dinner = $7 * 6

For Everyday dinner = $42

b.

Total Shipping and Receiving cost for Fine China

If the shipping and receiving cost of a box of fine China is $28

Then, the shipping and receiving cost of 3500 boxes is

= 3,500 * $28

= $98,000

8 0
3 years ago
Can y’all help me with this
jarptica [38.1K]

Answer:

30 in

Step-by-step explanation:

8 0
3 years ago
What is the solution to the inequality 3a/2 &lt; 24
rusak2 [61]

Answer:

a < 16

Step-by-step explanation:

We must get a alone to solve this. So first multiply by 2

3a/2 < 24

*2

3a < 48

Divide by 3

a < 16

8 0
2 years ago
Brooklyn has a goal to save $8,000 to buy a new entertainment system. In order to meet that goal, she deposited $4,132.79 into a
densk [106]
To see how much interest she'll get after a quarter:

$4132.79 + ($4132.79 × 0.048) = $4331.16

After two quarters:
$4331.16 + ($4331.16 × 0.048) = $4359.06

You can keep going until eventually reaching $8000 then see how many quarters has passed. That's a lot of calculator work!

There's another way that uses less calculation, but more algebra. I call it the exponential formula method! There's this general formula for stuff that increases exponentially, like virus, population, and MONEY:

m= d {e}^{tc}

M is money, d is deposit, t is time taken, and c is just some unknown constant related to the interest rate. There's also the natural logarithm form of this equation, which will come in handy later:

ln( \frac{m}{d} ) = tc

Alright first we gotta find that constant c for this equation to be useful! Let's plug in stuff we know.

ln( \frac{4331.16}{4132.79} ) = (0.25)c

We know how much she'll have after one quarter (0.25 years), and we know how much she deposited initially.

After pressing some buttons on the calculator we'll find that c = 0.1875.

Great! Now we can use that formula to find how many years (t) it'll take to reach M=$8000. To save time I'm going to use the natural log form:

ln( \frac{8000}{4132.79} ) = t(0.1875)

That will give us t = 3.522 which means it'll take approximately 3.5 years for her deposit to reach $8000!
5 0
3 years ago
Read 2 more answers
1. Choose the graph that represents the equation y = -x] - 1.
AVprozaik [17]

Answer:

x=−y−1

Step-by-step explanation:

y=−x−1

Step 1: Flip the equation.

−x−1=y

Step 2: Add 1 to both sides.

−x−1+1=y+1

−x=y+1

Step 3: Divide both sides by -1.

−x

−1

=

y+1

−1

x=−y−1

5 0
3 years ago
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