which one of the following uses estimation to check 267-154=113? a. 300-200=100. b. 113+154=267. c. 300-150=150. d. 270-150=120

Final answer:

To find the larger number, two equations were formed based on the given problem and solved sequentially. The smaller number was found to be 6, and using this value, the larger number was determined to be 20.

Explanation:

The sum of two numbers is given as 26. This information forms our first equation: s + l = 26, where s is the smaller number and l is the larger number.

We are also told that four less than four times the smaller number is equal to the larger number. This gives us our second equation: 4s - 4 = l.

Now, we can use substitution to solve for the larger number. First, rewrite the second equation in terms of s: l = 4s - 4. Then, substitute this expression for l into the first equation: s + (4s - 4) = 26.

Solving for s, we combine like terms: 5s - 4 = 26. Then, we add 4 to both sides to isolate the terms with s: 5s = 30. Dividing both sides by 5 gives us the smaller number: s = 6.

Finally, we find the larger number by substituting s back into the second equation: l = 4(6) - 4. This operation gives us the larger number l = 24 - 4, hence l = 20.

The larger number is 20.

The total amount of money paid by Anna is [tex]\fbox{\bf \$16.39}[/tex].

Further explanation:

Given:

Anna buys 3 pounds of hamburger meat.

Anna buys 5 sweet potatoes.

Anna buys 1 bag of hamburger rolls.

The cost of hamburger meat is $3.38 per pound.

The cost of 1 sweet potato is $0.79.

The cost of 1 bag hamburger is $2.30.

Procedure:

1. First find the money spent on hamburger meat, sweet potatoes, and hamburger rolls.

2. Now add all the money to obtain the total money spent on the groceries.

Calculation:

The money spend by Anna on the hamburger meat is obtained as follows:

[tex]\boxed{3.38\times3=\$ 10.14}[/tex]

The money spend by Anna on the sweet potato is obtained as follows:

[tex]\boxed{0.79\times5=\$ 3.95}[/tex]

The money spend by Anna on the hamburger roll is obtained as follows:

[tex]\boxed{2.30\times1=\$ 2.30}[/tex]

Total money spent by Anna to buy all the groceries can be obtained by the sum of the amount of money spent on all the groceries.

Therefore the total money paid by Anna is obtained as,

\boxed{\$ \left( {10.14 + 3.95 + 2.30} \right) = \$ 16.39}.

Thus, the total amount of money paid by Anna is [tex]\fbox{\bf \$16.39}[/tex].

Learn more:

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Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Algebraic expression

Keywords:

Anna, groceries, sweet potato, hamburger meat, hamburger rolls, bag, pounds, 3, $3.38, $0.79, family, total money, spend.

If a male lion eats 15 pounds of food each day or 105 pounds each week, it would need about 5460 pounds of food in a year. We arrive at this by multiplying the weekly amount (105 pounds) by the number of weeks in a year (52 weeks).

The question is asking how much food a male lion needs in a year if it eats 15 pounds of food each day, or 105 pounds per week. If we want to know how many pounds of food a lion needs for an entire year, we would need to multiply that weekly amount by the number of weeks in a year. There are 52 weeks in a year. So, we take 105 pounds of food per week and multiply it by 52.

Calculation: 105 × 52 = 5460

So, a male lion needs about 5460 pounds of food in a year.

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The number 1,000,000 is a 6 power of 10.

Given that,
An incomplete statement is given,
The number 1,000,000 is a(n) ______ of 10.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
1000000 = 10ˣ

10⁶ = 10ˣ
x = 6

Thus, The number 1,000,000 is a 6 power of 10.

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It can be expressed as the fraction 1/10, because 0.1 has one decimal place.

The student has asked to convert the decimal 0.1 into a rational number. A rational number is a number that can be expressed as a fraction where both the numerator and the denominator are integers, and the denominator is not zero. To convert a decimal to a rational number, we consider the place value of the decimal. Since 0.1 has one decimal place, it can be expressed as 1/10. Hence, the decimal 0.1 as a rational number is 1/10.

Answer:

5,400 as Fifty four hundred.      

Step-by-step explanation:

Given : Number 5,400.

To find : Explain how you can rename 5,400 as hundreds. Include a quick picture or a place-value chart in your explanation ?

Solution :

The place value system of 5,400 is

Thousand     Hundred       Tens     Ones

     5                  4                 0          0

i.e. five thousand four hundred

Rename 5400 as hundreds,

As [tex]5400=54\times 100[/tex]

So, We can say 5,400 as Fifty four hundred.

Answer:

Yes the budget is reasonable.

Step-by-step explanation:

A bus service drives passengers between Milwaukee and Chicago every day for eight times each day.

The distance between the two cities is 89 miles.

So, total distance covered per day = [tex]89\times8=712[/tex] miles.

Total distance covered in 28 days = [tex]28\times712=19936[/tex] miles.

As give, The company's budget allows for 28,000 total miles for February.

So, yes the budget is reasonable, as it is less than 28000.