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Contact [7]
2 years ago
10

One morning, Muhammad's deli shop sells 15 sandwiches in 10 minutes. If the shop continues to sell sandwiches at the same rate,

about how many sandwiches will the shop sell in 3/4 of an hour?
Mathematics
1 answer:
antoniya [11.8K]2 years ago
3 0

Answer:

68 sandwiches

Step-by-step explanation:

Given that,

A shop sells 15 sandwiches in 10 minutes.

10 minutes = (10/60) hour = (1/6) hour

In (1/6) hour shop sells 15 sandwiches

In 1 hour = 90 sandwiches

To find, no of sandwiches in 3/4 hours, multiply 3/4 by 90. So,

In 3/4 hour = 90\times \dfrac{3}{4}=67.5 sandwiches

or

≅ 68 sandwiches

So, 68 sandwiches can be made in 3/4 hour.

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18 students are going on a field trip and 10 students are staying at school. What is the ratio of the number of students who are
galben [10]

Answer: c

Step-by-step explanation:

because 18 students are going and 10 are staying

7 0
1 year ago
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Complete the statement.<br><br><br><br><br>Since angle B is the largest angle, is the side.
postnew [5]

Answer:

<em>∠B is the largest interior angle of the triangle, and AC is the</em><em> largest</em><em> side.</em>

Step-by-step explanation:

Relationship of sides to interior angles in a triangle-

  1. The shortest side of a triangle is always opposite to the smallest interior angle.
  2. The longest side of a triangle is always opposite to the largest interior angle.

So converse of the second property is the side opposite to the largest interior angle is always the largest side.

As ∠B is the largest interior angle of the triangle, so its opposite side which is AC will be the largest side.

7 0
3 years ago
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The sum of a number and twenty-six, divided by twelve is equal to seven! <br><br> Please!!
Travka [436]

Answer:

58

Step-by-step explanation:

1. let x be the unknown number

2. make an expression

x + 26/12 = 7/1

3. cross multiply

x +26 × 1 = x + 26

12 × 7  = 84

 x + 26 = 84

4. move variables on one side and numbers on other side of the equal sign

x + 26 = 84

   - 26    -26

x = 58

4 0
2 years ago
How many nonzero terms of the Maclaurin series for ln(1 x) do you need to use to estimate ln(1.4) to within 0.001?
Vilka [71]

Answer:

The estimate of In(1.4) is the first five non-zero terms.

Step-by-step explanation:

From the given information:

We are to find the estimate of In(1 . 4) within 0.001 by applying the function of the Maclaurin series for f(x) = In (1 + x)

So, by the application of Maclurin Series which can be expressed as:

f(x) = f(0) + \dfrac{xf'(0)}{1!}+ \dfrac{x^2 f"(0)}{2!}+ \dfrac{x^3f'(0)}{3!}+...  \ \ \  \ \ --- (1)

Let examine f(x) = In(1+x), then find its derivatives;

f(x) = In(1+x)          

f'(x) = \dfrac{1}{1+x}

f'(0)   = \dfrac{1}{1+0}=1

f ' ' (x)    = \dfrac{1}{(1+x)^2}

f ' ' (x)   = \dfrac{1}{(1+0)^2}=-1

f '  ' '(x)   = \dfrac{2}{(1+x)^3}

f '  ' '(x)    = \dfrac{2}{(1+0)^3} = 2

f ' '  ' '(x)    = \dfrac{6}{(1+x)^4}

f ' '  ' '(x)   = \dfrac{6}{(1+0)^4}=-6

f ' ' ' ' ' (x)    = \dfrac{24}{(1+x)^5} = 24

f ' ' ' ' ' (x)    = \dfrac{24}{(1+0)^5} = 24

Now, the next process is to substitute the above values back into equation (1)

f(x) = f(0) + \dfrac{xf'(0)}{1!}+ \dfrac{x^2f' \  '(0)}{2!}+\dfrac{x^3f \ '\ '\ '(0)}{3!}+\dfrac{x^4f '\ '\ ' \ ' \(0)}{4!}+\dfrac{x^5f' \ ' \ ' \ ' \ '0)}{5!}+ ...

In(1+x) = o + \dfrac{x(1)}{1!}+ \dfrac{x^2(-1)}{2!}+ \dfrac{x^3(2)}{3!}+ \dfrac{x^4(-6)}{4!}+ \dfrac{x^5(24)}{5!}+ ...

In (1+x) = x - \dfrac{x^2}{2}+\dfrac{x^3}{3}-\dfrac{x^4}{4}+\dfrac{x^5}{5}- \dfrac{x^6}{6}+...

To estimate the value of In(1.4), let's replace x with 0.4

In (1+x) = x - \dfrac{x^2}{2}+\dfrac{x^3}{3}-\dfrac{x^4}{4}+\dfrac{x^5}{5}- \dfrac{x^6}{6}+...

In (1+0.4) = 0.4 - \dfrac{0.4^2}{2}+\dfrac{0.4^3}{3}-\dfrac{0.4^4}{4}+\dfrac{0.4^5}{5}- \dfrac{0.4^6}{6}+...

Therefore, from the above calculations, we will realize that the value of \dfrac{0.4^5}{5}= 0.002048 as well as \dfrac{0.4^6}{6}= 0.00068267 which are less than 0.001

Hence, the estimate of In(1.4) to the term is \dfrac{0.4^5}{5} is said to be enough to justify our claim.

∴

The estimate of In(1.4) is the first five non-zero terms.

8 0
2 years ago
Huong had $23 to spend on six notebooks. After buying them she had $11. How much did each notebook cost?
Nataly [62]
23-11=12
She spent $12 on notebooks, and she bought six notebooks.
12/6=2

Each notebook costed $2.
8 0
3 years ago
Read 2 more answers
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