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zhuklara [117]
2 years ago
4

Along with the flowers, Maggie bought 4 packages of balloons and 2 packages of plant food. The packages of balloons cost $3.59 e

ach and the total sales tax was$1.34. The total amount she paid was $32.09, including sales tax. Explain a strategy she could use to find the cost of 1 package of plant food.
Mathematics
1 answer:
Gemiola [76]2 years ago
4 0
Total amount - sales tax - 2 packages of balloons = 1 package plant food = cost of 1 plant food
32.09 - 1.34 - 7.18 = 23.57
23.57 ÷ 2 =11.78
strategy:
32.09 - 1.34 - 7.18 - cost of 1 package of p.f. = cost of 1 package of p.f. 
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Kelly blends coffee. She mixes brand A costing $6 per kilogram with brand B costing $8 per kilogram. How many kilograms of each
sukhopar [10]

Step-by-step explanation:

Let

x

be the kg of coffee of brand A in the mix and

y

be the kg of coffee of brand B in the mix.

The total kg must be

50

.

x

+

y

=

50

The cost per kg of the mix must br

$

7.20

. For this, the total cost of the mix will be

6

x

+

8

y

, so the total cost per kg of the mix will be

6

x

+

8

y

50

.

6

x

+

8

y

50

=

7.20

Now that we have our two equations, we can solve.

6

x

+

8

y

=

7.20

⋅

50

6

x

+

8

y

=

360

From the first equation, we can multiply both sides by

6

to get:

6

x

+

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y

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Subtracting, we get:

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y

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Thus, we need

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6 0
2 years ago
What is the factored form of the binomial expansion 125x^3 + 525x^2 + 735x + 343?
yarga [219]

Answer:

Step-by-step explanation:

1. regroup terms

125x^3+343+525x^2+735x

2. Rewrite 125x^3 as  (5x)^3 and 343 as 7^3

(5x)^3+7^3+525x^2+735x

3. Since both terms are perfect cubes, factor using the sum of cubes formula, a^3+b^3 = (a+b)(a^2-ab+b^2), where a=5x and b=7

(5x+7)((5x)^2-(7)(5x)+(7)^2)+525x^2+735x

(5x+7)(25x^2-35x+49)+525x^2+735x

4. Factor 105x out of 525x^2+735x

(5x+7)(25x^2-35x+49)+105x(5x+7)

5. Regroup

(5x+7)(25x^2-35x+49+105x)

(5x+7)(25x^2+70x+49)

6. Factor again

(5x+7)(5x+7)^2

(5x+7)^3

4 0
2 years ago
Read 2 more answers
During a certain week, a post office sold Rs.280 worth of 14-paisas stamps. How many of these stamps did they sell?
Novosadov [1.4K]
So basically ...

You convert the rupees in paisas. One rupee is equal to one hundred paisas, so ...

280 × 100 = 28,000

And then we divide,

28,000 ÷ 14 = 2000

The post office sold 2000 stamps!

Hope this helped! :)
6 0
2 years ago
A gallon of paint covers 400 square feet. How many square feet will 2 3/8 gallons of paint cover?
Black_prince [1.1K]
1 gal = 400 ft²
2 3/8 gal = ? ft²

to solve, use similar ratios with units gal/ft² and compare

(1)/(400) = (2 3/8)/(x)

*multiply both sides by (x) and divide both sides by (1)/(400), you get:

x = (400)*(2 3/8)/(1) = 400*(2 3/8) = 400*2 + 400*3/8 = 800 + 150 = 950 ft²

<u><em>answer is 950 ft²</em></u>

8 0
2 years ago
Find the GCF of monomials 34s^2t and 96st^2
andrey2020 [161]

Answer:

Down below

Step-by-step explanation:

3264s^{3}   t^{3}

6 0
2 years ago
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