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yawa3891 [41]
3 years ago
12

Mr. Swanson has $350 to order music books for the new school year. Music books cost $10 each and come in packages of 5. Mr. Swan

son orders 6 packages.
Mathematics
1 answer:
Talja [164]3 years ago
3 0
Answer:
$300

Explanation:
$10(cost of 1 book) x 5(how many comes in packages) = 50 ( total cost of 1 package)
Mr. Swanson ordered 6 so...
$50 x 6 = $300
Mr. Swanson would have $50 let's over
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Please help me I don’t understand how to do it. If you can please use a data table to explain how to do it.
Ksivusya [100]

Answer:

The 70% mixture makes up 0.7 liters of the solution whereas the 60% mixture makes up 2.8 liters of the solution.

Step-by-step explanation:

Let us have x liters of the .7 mixture and y liters of the .6 mixture.

We want total liters to be 3.5 which means we need x+y=3.5 . I don't like the decimal in the equation so I'm going to multiply both sides by 10: 10x+10y=35

We also need the .7x+.6y=.62(3.5) . I hate the decimal business going on in this question so I'm going to multiply by 1000 which gives 700x+600y=62(35) .

So we have the system

700x+600y=62(35)

10x+10y=35

I'm going to setup this up for linear combination/elimination.

Multiply bottom equation by 60.

700x+600y=62(35)

600x+600y=60(35)

Subtract equations (bottom from top):

(700-600)x+(600-600)y=35(62-60)

Simplify:

100x+0y=35(2)

100x=70

Divide both sides by 100:

x=70/100

x=7/10

Going back to x+y=3.5 along with x=7/10 or .7 liters to find y.

y=3.5-x with x=.7

y=3.5-0.7

y=2.8

The 70% mixture makes up 0.7 liters of the solution whereas the 60% mixture makes up 2.8 liters of the solution.

Pic added.

Another way to do problem:

.7x+.6(3.5-x)=.62(3.5)

Multiply and distribute:

.7x+2.1-.6x=2.17

Combine like terms on left:

.1x+2.1=2.17

Subtract 2.1 on both sides:

.1x=.07

Multiply both sides by 10:

x=0.7 liters

Now the other acid solution is 3.5-0.7 which is 2.8 litera.

4 0
3 years ago
Find the selling price of a $7.50 agenda book with a 15% discount.
Diano4ka-milaya [45]

Answer:

The selling price of the agenda book is $6.38 to the nearest cent.

Step-by-step explanation:

Assume that the cost price of the agenda book is 100%

∵ The discount is 15%

∵ The selling price = the cost price - discount amount

∴ The selling price = 100% - 15%

→ That means the selling price is 85% of the cost price

∵ The cost price = $7.50

∴ The selling price = 85% × 7.50

→ Change 85% to a number by divide it by 100

∴ The selling price = \frac{85}{100} × 7.50

∴ The selling price = 6.375

→ Round it to the nearest cent (2 d.p)

∴ The selling price = $6.38

∴ The selling price of the agenda book is $6.38 to the nearest cent.

8 0
3 years ago
Determine whether the sequence converges or diverges. If it converges, give the limit. 48, 8, four divided by three, two divided
Inga [223]

Answer:

Converges, 57.6

Step-by-step explanation:

48, 8, 4/3, 2/9...

ratio = 8/48 = 1/6

A sequence converged if the ratio is between -1 and 1.

So, this sequence converges

Limit = a/(1-r)

Where a is the first term, and r is the common ratio

Limit = 48/[1 - (1/6)]

= 48/[5/6]

= 48 × 6/5

= 57.6

7 0
3 years ago
Read 2 more answers
HELP!! REAL answers only please.
Alika [10]

Answer:

33

Step-by-step explanation:

So the angle of 40 is a vertical angle with the one opposite of it, meaning that the triangle on the left would have two values of 40 and 41, to find the value of the 3rd angle of the left triangle, you can subtract 40 and 41 from 180 which is the total number of degrees in a triangle to get 99, then you can find the degrees of the triangle on the right's bottom angle by subtracting 99 from 180, meaning the bottom left angle would be 81, then you can do the same to find the other angle by subtracting 114 from 180 to get 66. Lastly you can add 81 and 66 to get 147, then subtracting 147 from 180 you would get x=33

3 0
3 years ago
To make the perfect orange color hector mixes 2/3 quarts of red paint with 1 4th Court of yellow paint. How much red paint is us
jonny [76]
6/12 or the same thing but reduced 1/2

WELCOME!
5 0
3 years ago
Read 2 more answers
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