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2 years ago

Translate the sentence into an equation.

Mathematics

2 answers:

LUCKY_DIMON [66]2 years ago

8 0

Answer:

The answer is 5

Step-by-step explanation:

(X +9) +6 = 5

Trava [24]2 years ago

5 0

The equation is (X+9)+6=5

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A businessman buys 1,440 dozen pens at $2.50 a dozen and then sells them at a price of 25¢ apiece. what is his total proﬁt on th

Harlamova29_29 [7]

Profit (P) is calculated by subtracting the total cost (C) from the total revenue (R). The calculations are shown below,

R = (1440 dozens) x (12 pieces / 1 dozen) x (25 cents/ piece) = $4320
C = (1440 dozens) x ($2.50 / dozen) = $3600

Profit = R - C = $4320 - $3600 = $720

Thus, the businessman's profit is $720.

7 0

3 years ago

A playground is being designed where children can interact with their friends in certain combinations. If there is 1 child, ther

mariarad [96]

<h2>Answer:</h2>

Recursive equation for the pattern followed is given by,

$a_{n}=a_{n-1}+(n-1)^{2}$

<h2>Step-by-step explanation:</h2>

In the question,

The number of interaction for 1 child = 0

Number of interactions for 2 children = 1

Number of interactions for 3 children = 5

Number of interaction for 4 children = 14

So,

We need to find out the pattern for the recursive equation for the given conditions.

So,

We see that,

$a_{1}=0\\a_{2}=1\\a_{3}=5\\a_{4}=14\\$

Therefore, on checking, we observe that,

$a_{n}=a_{n-1}+(n-1)^{2}$

On checking the equation at the given values of 'n' of, 1, 2, 3 and 4.

At,

n = 1

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{1}=a_{1-1}+(1-1)^{2}\\a_{1}=0+0=0\\a_{1}=0$

which is true.

At,

n = 2

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{2}=a_{2-1}+(2-1)^{2}\\a_{2}=a_{1}+1\\a_{2}=1$

Which is also true.

At,

n = 3

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{3}=a_{3-1}+(3-1)^{2}\\a_{3}=a_{2}+4\\a_{3}=5$

Which is true.

At,

n = 4

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{4}=a_{4-1}+(4-1)^{2}\\a_{4}=a_{3}+9\\a_{4}=14$

This is also true at the given value of 'n'.

Therefore, the recursive equation for the pattern followed is given by,

$a_{n}=a_{n-1}+(n-1)^{2}$

3 0

2 years ago

Express in simplest radical form. V40

Andrews [41]

Answer:

$\huge\boxed{2 \sqrt{10}}$

Step-by-step explanation:

When taking a square root and making it a radical, we need to list out it's factors and find which one we can take the square root of.

The factors of 40 are:

1, 2, 4, 5, 8, 10, 20, 40.

Out of these, we need to look for one that we can find the square root of.

We know that the square root of 4 is 2.

Therefore, we can make $\sqrt{40}$ into $\sqrt{4 \cdot 10}$ .

The square root of 4 is 2. Therefore, we can put that outside the radical.

$2 \sqrt{10}$ .

Hope this helped!

7 0

2 years ago

Plz ANWSER and make sure it’s in decimal form, plz show ur work Overdue will mark brainest!

kari74 [83]

Answer:

Step-by-step explanation:The model will be of length 0.4 ft and the width being 0.28 feet

Step-by-step explanation:

Step 1.We know that the length of the building is 200 feet, and that the width of the building is 140 feet.

Step 2. the question tells us that "a 1/500 model is built of the building", meaning the problem wants to create a model using the ratio 1 feet for each 500 feet.

Step 3.So now to find the length and width of the model, we need to divide the given sides by 500.

Step 4. Side length of the Model = 200/500 = 2/5 = 0.4 feet

Step 5. Side width of the Model = 140/500 = 14/50 = 0.28 feet

There for giving us our final answer... "The model will be of length 0.4 feet and width 0.28 feet."

Hope I could help! :)

6 0

3 years ago

Read 2 more answers

Clayton Burrington purchased the following school supplies on s

vladimir1956 [14]

Answer:

The answer is not reasonable.

The error that Clayton made was that he accidentally added all of the products that had a saved price tag on it, he did not find the difference between the old price and the new, sales price.

Step-by-step explanation:

Hope this helps :) Mark me brainliest if anyone else answers this question.

4 0

2 years ago