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OlgaM077 [116]
3 years ago
13

Please explain how to solve this problem

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
3 0

9514 1404 393

Answer:

  20 pounds

Step-by-step explanation:

Often, mixture problems are worked by writing two equations: one for the total quantity of constituents in the mix, and one for the total price of the mix. When these equations are solved by substitution, the first step is to write one quantity in terms of the other.

You can save an equation and a step by using one variable for quantity. It usually works best to let the variable represent the highest-cost (or most concentrated) contributor. Here, that is the quantity the problem asks for, so ...

Let c represent the number of pounds of cashews needed to be mixed with the peanuts. Then the revenue from selling the mix is ...

  80($1.50) +c($4.00) = (80+c)($2.00)

  120 +4c = 160 +2c . . . . . divide by $, simplify

  2c = 40 . . . . . . . . . . . . . subtract 120+2c from both sides

  c = 20 . . . . . . . . . . . . . divide by 2

The manager should mix 20 pounds of cashews with the 80 pounds of peanuts.

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6(26-4)= 132

Step-by-step explanation:

There isn't any variable in the equation

7 0
3 years ago
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A quadrilateral has two angles that measure 222° and 81°. The other two angles are in a ratio of 6:13. What are the measures of
hram777 [196]

\sf\huge\underline{\star Solution:-}

\rightarrow <u>Ratio of two angles are 6:13.</u>

So, let the one angle be \sf{6x} and another be \sf{13x.}

As we know that,

Sum of all interior angles of a quadrilateral = \sf\pink{360°.}

So let's sum up the given angles,

\rightarrow \sf{222°+81°+6x+13x \:=\:  360°}

\rightarrow \sf{303+19x \:=\:  360°}

\rightarrow \sf{19x \:=\:  360-303}

\rightarrow \sf{19x \:=\:  57}

\rightarrow \sf{x \:=\:  \frac{19}{57}}

\rightarrow \sf{x \:=\:  3}

Hence, \sf{x \:=\:  3}

So, First angle \sf{= \:6x\: = \:6×3 \:=} \sf\purple{18°.}

Second angle \sf{= \:13x\: = \:13×3 \:=} \sf\purple{39°.}

_________________________________

Hope it helps you:)

3 0
2 years ago
A chocolate cake recipe serves 12 people. A blueberry cake recipe serves 36 people. A lemon cake recipe serves 16 people.
Marizza181 [45]

Answer:

0.60

Step-by-step explanation:

3 0
3 years ago
-9x^5 + 36x^4 + 189x^3 in factored form
Alex73 [517]

Answer:

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Step-by-step explanation:

factor out -9x^3 from the expression

8 0
3 years ago
a student bought a juice pouch for $2.50 and 3 bags of chips. the total cost was $5.05 write and solve an equation to determine
Wittaler [7]

First, write it as an equation

2.50+3x=5.05

Next, subtract 2.50 from both sides

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The cost of a bag of chips is 0.85

hope i helped :D

5 0
2 years ago
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