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bulgar
3 months ago
6

Tucker was asked to solve the equation 5x + 3 = 6x + 1. He did not know if his first step should be to add 5 negative x-tiles, o

r 1 negative unit tile, to both sides. What advice would you give Tucker to help him decide on his first step? Explain.
Mathematics
2 answers:
babunello [11.8K]3 months ago
6 0

Sample Response: It doesn't make a difference which is done first. In either scenario, both sides will generate zero pairs, isolating the variable x. You can add the x-tiles followed by the unit tile, or the other way around, to arrive at the same result.

Svet_ta [12.7K]3 months ago
4 0
It doesn't matter what step is taken first. Either choice will result in zero pairs being created on both sides, which helps isolate the variable x. Whether you start with the x-tiles or the unit tile, the solution will be the same.
You might be interested in
1 kilogram is equivalent to about 2.2 pounds. An orangutan weighs 142 pounds. What is its mass in kilograms? Round your answer t
AnnZ [12381]

The weight of an orangutan is 64.5 kilograms

Solution:

It is stated that the orangutan's weight is 142 pounds

Additionally,

1 kilogram is approximately 2.2 pounds

We will now convert 142 pounds into kilograms

1 kilogram = 2.2 pounds

\text{1 pound } = \frac{1}{2.2} \text{ kilograms }

As a result, 142 pounds translates to

142 \text{ pound } = \frac{1}{2.2} \times 142 \text{ kilogrmas }

\rightarrow \frac{1}{2.2} \times 142 = 64.545 \text{ kilograms }

When rounding to the nearest tenth, we obtain 64.5 kilograms

Therefore the mass of the orangutan is 64.5 kilograms

3 0
2 months ago
A series contains 18 numbers and has a sum of 4,185. The last number of the series is 275. What is the first number?
Inessa [12570]
The formula for the sum of an arithmetic series is expressed as:
Sn=n/2(a1+an)
where:
n=total terms
a1=the initial term
an=the final term
given
n=18, an=275, Sn=4185
substituting these values into the equation results in:
4185=18/2(a1+275)
after simplification, we obtain:
4185=9(a1+275)
dividing by 9 yields:
465=a1+275
therefore
a1=465-275
a1=190

Conclusion: the first term is 190
3 0
2 months ago
Rent for a 3-bedroom apartment is regularly 936 per month. Apartment management is now offering one month free for 12- month lea
babunello [11817]

Answer:

$858.

Detailed explanation:

The monthly rent for the 3-bedroom apartment is $936 under normal circumstances.

The landlord now provides one month free as part of a 12-month tenancy. Signing the lease means paying rent for only 11 months. Therefore, the total annual rent after applying this deal is:

\text{Rent of the apartment for 1 year after signing the lease}= 11\times 936

\text{Rent of the apartment for 1 year after signing the lease}= 10296

To find the adjusted monthly payment, divide the total amount $10,296 by 12 months.

\text{The new monthly amount}=\frac{10296}{12}

\text{The new monthly amount}=858

Hence, the revised monthly rent comes out to be $858.

8 0
3 months ago
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