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3 years ago

What is the sum of all integers that satisfy -3n<7n-20<3n

1 answer:

4 0

First let's solve the inequality

-3n<7n-20<3n
0<10n-20<6n
0<10n-6n<20
0<4n<20
0<n<5

n ∈ ]0,5[

the integers in this interval are 1,2,3,4 . their sum is 10

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Find the markup and the selling price of the following item. Round answers to the nearest cent. A chemistry set costing $27.50,

postnew [5]

Let x be marked up price. We have been given that a chemistry set costing $27.50, marked up 32% on cost.

$x=27.50\times\frac{32}{100}$

$x=27.50\times.32$

$x=8.8$

Therefore, mark up price is $8.80.

Since we know that selling price of any item equals the sum of cost and mark-up price of the item.

Let us find selling price of our chemistry set.

$\text{Selling price of chemistry set}=27.50+8.8$

$\text{Selling price of chemistry set}=36.30$

Therefore, the selling price of the chemistry set is $ 36.30.

5 0

3 years ago

Read 2 more answers

I need 33 and 35!!!!!

Nataly_w [17]

33. Y= x/x-1 35. A=C^2/4pi

6 0

3 years ago

Let p: A triangle is acute.

zvonat [6]

An equilateral triangle has all three angles as 60 degrees, this also makes the triangle an acute triangle.

This makes both p and q true.

P V q is also true, the V means “or”, so if either p or q is true the statement is true

p ∧ q means and, since both p and q are true, this is also true.

The left and right arrows means “implies”, so this is true if and only

if the p is false or q is true (the sentence ((~p)vq) is true). Since Both p and q are true both the left and right arrows are true

The last one means equal and is true if both p and q are the same, which they are, so this is also true,.

All the given statements are true.,

8 0

3 years ago

A disk cost $3 more than a tape. rolex bought five disks and two tapes. The total cost was $120. what was the price of a disk?

Daniel [21]

First, I would organize your information into equations. So, the first sentence would be:

d = 3 + t d = disk and t = tape

Second and third sentence would be the equation:

5 d + 2 t = $120

To find the price of the disk, you would follow these steps.

5 (3 + t) + 2 t = 120 substitute d, with the equation that has a total, for

(3 + 2), then solve for t

15 + 5 t + 2 t = 120 distribute

15 + 7 t = 120 add like terms

7 t = 105 subtract from both sides

t = 15 divide from both sides

Then you substitute 15 in the first equation.

d = 3 + t substitute

d = 3 + 15 add

d = 18

So, d = 18 and t = 15. To check this, you just need to substitute the right variables.

1) 18 = 3 + 15

18 = 18

2) 5 (18) + 2 (15) = 120

90 + 30 = 120

120 = 120

When checking, we can see that the correct answer is $18 for the price of the disk.

Answer: $18

8 0

4 years ago

Find the cost per visit to the nearest cent: Health and Heart Club, $259 per year, 3 visits per week. a. $1.66 b. $7.19 c. $156

vagabundo [1.1K]

Answer:

a. $1.66

Step-by-step explanation:

We have been given that Health and Heart Club charges $259 per year. A person has 3 visits per week. We are asked to find the cost of per visit to Health and Heart Club.

We know that there are 52 weeks in one year. So total visits in one year would be 3 times 52 that $156$ visits.

Now, we will divide total cost by 156 to find cost per visit.

$\text{Cost per visit}=\frac{\$259}{156}$

$\text{Cost per visit}=\$1.660256$

Rounding to nearest hundredths, we will get:

$\text{Cost per visit}\approx \$1.66$

Therefore, the cost per visit is $1.66 and option 'a' is the correct choice.

5 0

3 years ago