Which is the better buy, 6 bagels for $3.29 or 8 bagels for $4.15?

The division of 913 by 29 yields a quotient of 31 with a remainder of 14, which can be written as 31 R14 or as a decimal, 31.4827586207.

Calculating 913 Divided by 29:

To calculate 913 divided by 29, you perform long division. Firstly, you determine how many times 29 can fit into the initial digits of 913. Seeing that 29 goes into 91 three times (since 29 x 3 = 87), you write down the 3 above the last digit of 91, subtract 87 from 91, and bring down the next digit of 913, which is 3, next to the 4 remaining from the subtraction, forming 43. Now, you determine how many times 29 can fit into 43 without exceeding it. The answer is once. So you write 1 above the 3 in 913, multiply 29 by 1 to get 29, and subtract this from 43 to get 14. Since there are no more digits in 913 to bring down, you have finished the division process.

The result of the division is 31 with a remainder of 14, which can also be written as 31 R14 or as 31.4827586207 when expressed as a decimal.

A good way to check your math is to multiply the quotient by the divisor and add the remainder. If the result equals the original dividend, your division is correct. In this case, 31 x 29 + 14 equals 913, confirming the division is accurate.

The 40th term of the given arithmetic sequence is -374. Hence the correct option is B.

The 40th term of the arithmetic sequence is found using the formula for the nth term of an arithmetic sequence: an = a1 + (n-1)d, where a1 is the first term and d is the common difference.

Given the sequence: 16, 6, -4, -14, the common difference d = 6 - 16 = -10. Plugging into the formula: a40 = 16 + (40-1)(-10) = -374.

The correct answer is:

Credit grantors' measurement of a person's ability to repay loans.

Explanation:

When lending money, financial institutions look at a variety of factors.  One of the most important is the ability of the person taking out the loan to repay it.  Financial institutions refer to this as "capacity."

Answer:

C - Rhombus

Step-by-step explanation:

A rhombus ALWAYS has perpendicular diagonals. A rhombus is just a parallelogram with four equal sides, so two of them have to be parallel, at least.

Answer:

it's a parallelogram

Step-by-step explanation:

i was trying to figure out if I can always handle your math exams would it be possible

Answer:

part a.

2/3 = x/6

3x = 12

x = 4

that is the answer

Answer: 55 tickets

Step-by-step explanation:

Given : The local baseball team donated 220 game tickets to the program.

Also, Danielle divides the tickets evenly among the 4 units in the program.

Then, the number of  tickets will each unit get =[tex]220\div 4[/tex]

i.e. the  number of tickets will each unit get =55

Hence, Each units will get 55 tickets.

Final answer:

Assuming the function g(x) is 2x - 1, to find g(-2.3) we substitute -2.3 for x, calculate the expression, and obtain

g(-2.3) = -5.6.

Explanation:

The student has provided an incomplete function g(x), as it shows g(x) = 2 - 1 without any variable after the subtraction sign. Assuming this is a typographical error and the student meant g(x) = 2x - 1, we can proceed to evaluate the function for x = -2.3.

To evaluate g(-2.3), we substitute -2.3 into the function:

Therefore, the value of g(-2.3) is -5.6.

Answer:

trasposing of numbers

Step-by-step explanation:

Final answer:

The size of the square to be cut from each corner of the cardboard to create a box with a desired area of 80in^2 is approximately 1.553 inches.

Explanation:

The size of the square should be cut from each corner of an 11in. by 16 in. piece of cardboard to create a box with a desired area of 80in2 is approximately 1.553 inches.

To calculate this, we start by finding the area of the original cardboard piece, which is 11*16=176in2. Then, we subtract the area of the four squares cut out, 4x2, from the original area to get the area of the box's base, which is 176 - 4x2=80. Solving for x gives us the size of the square to be cut out.

Answer:

Total number of dozen muffins they both bake is [tex]2\frac{8}{12}[/tex]    

Step-by-step explanation:

Given : Arthur baked [tex]1\frac{7}{12}[/tex] dozen muffins. Nina baked [tex]1\frac{1}{12}[/tex] dozen muffins.

We have to find the total number of dozen muffins did they both bake.

To find the total number of dozen muffins did they both bake is equal to number of dozen of muffins Arthur bake and  number of dozen of muffins Nina bake

That is

Mathematically written as ,

Total number of dozen muffins = number of dozen of muffins Arthur bake + number of dozen of muffins Nina bake

Given : Arthur baked [tex]1\frac{7}{12}[/tex] dozen muffins

and Nina baked [tex]1\frac{1}{12}[/tex] dozen muffins.

Total number of dozen muffins = [tex]1\frac{7}{12}+1\frac{1}{12}[/tex]  

Simplify, we get,

Total number of dozen muffins = [tex]1\frac{19}{12}+\frac{13}{12}[/tex]  

Adding, we get,

Total number of dozen muffins = [tex]1\frac{19+13}{12}=\frac{32}{12}[/tex]  

Thus, Total number of dozen muffins they both bake is [tex]2\frac{8}{12}[/tex]    

The number that, when squared, equals 9/16 is 3/4 as the square root of a fraction is the square root of the numerator divided by the square root of the denominator.

The question is asking what number raised to the second power (or squared) equals 9/16. In mathematical terms, it's asking for a number n whereby n² = 9/16. Since squaring a number means multiplying it by itself, we can say that n = √(9/16).

The square root of 9/16 can be found by taking the square root of 9 and the square root of 16 separately. This is possible because the square root of a fraction is equal to the square root of the numerator divided by the square root of the denominator (√a/b = √a / √b).

So, the square root of 9 is 3 and the square root of 16 is 4. Therefore, √(9/16) = 3/4. Hence, the number that when squared gives 9/16 is 3/4.

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Answer:

A. The student followed all rules correctly and solved for c

Step-by-step explanation:

Given the equation [tex]3c + 6 - 4c = 12 c + 7[/tex], the student followed all rules correctly because:

[tex]3c - 4c = - c[/tex]

[tex]-c +6 + (-6) = 12c +7+(-6)[/tex]

[tex]-c +(-12c) = 12c +(-12c) +1[/tex]

[tex]-\frac{13c}{13}= -\frac{1}{13}[/tex]

And he got it:  

[tex]c = -\frac{1}{13}[/tex]

Now we´ll check this work with the original equation:

[tex]3c + 6 - 4c = 12 c + 7[/tex]

[tex]3(-\frac{1}{13}) + 6 - 4(-\frac{1}{13}) = 12(-\frac{1}{13}) + 7[/tex]

[tex]-\frac{3}{13} + 6 +\frac{4}{13} = -\frac{12}{13} +7[/tex]

[tex]6 + \frac{1}{13} = \frac{79}{13}[/tex]

[tex]\frac{79}{13} = \frac{79}{13}[/tex]

Very good  √

Answer:

the answer is 19.9 cm

Answer:

answer d 15 to ifinity

Step-by-step explanation:

Answer:

10 + 10 = 20 ; 456 + 543 = 999

Step-by-step explanation:

To solve 5[tex]x^2[/tex] = -30x - 65, we can use the quadratic formula. However, the equation has no real solutions.

To solve 5[tex]x^2[/tex] = -30x - 65, we can start by rearranging the equation to form a quadratic equation in standard form. The equation becomes 5[tex]x^2[/tex]+ 30x + 65 = 0. We can then solve this quadratic equation by factoring, completing the square, or using the quadratic formula.

In this case, the quadratic equation does not factor easily, so we can use the quadratic formula. The quadratic formula is x = (-b ± sqrt([tex]b^2[/tex] - 4ac)) / (2a), where a, b, and c are the coefficients of the quadratic equation. Plugging in the values, we get x = (-30 ± sqrt([tex](-30)^2[/tex] - 4(5)(65))) / (2(5)). After simplifying, we get x = (-30 ± sqrt(900 - 1300)) / 10.

Since the expression inside the square root is negative, there are no real solutions to the equation. Therefore, the equation 5[tex]x^2[/tex] = -30x - 65 has no solution.

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The strength of a cable is directly proportional to the square of its diameter. This relationship allows us to compute the strength of a cable of given diameter. Using given data, a cable with 3cm diameter can support 1800kg.

The strength of a cable is said to be proportional to the square of its diameter. This is a mathematical concept of direct proportionality. In this specific case, the proportionality can be written as S=k(D^2), where S is the strength (or weight it can support), D is the diameter and k is a constant.

For a 2-cm cable, we can plug the values into the equation to find the constant: 800= k(2^2), therefore k=800/4=200.

Now, knowing that k=200, we can calculate the strength of a 3-cm cable by plugging in the values: S=200*(3^2) =1800. Therefore, a cable with a 3-cm diameter can support 1800kg.

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