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3 years ago

Alphonse spends 28 dollars on food. this amount is 4/9 of his allowance. calculate his allowance

2 answers:

7 0

X $ -- Allowence

$\frac{4}{9}*x=28 \ |:\frac{4}{9}\\\\ x=\not28^7\cdot \frac{9}{\not4^1}\\\\ x=7*9\\\\ x=63$

Answer:
$63

katen-ka-za [31]3 years ago

6 0

Say the total allowance is X.
4/9X=$28
Therefore 28/(4/9) = $63

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Vanyuwa [196]

<h3>Answer:</h3>

4. -3

5. 3

<h3>Step-by-step explanation:</h3>

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5. The ordered pair (h, k) is typically used to name the point to which a function is translated. The vertex of the function f(x) = |x| is (0, 0). When it is translated to (h, k), the function becomes ...

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(Q7) Determine the graph of the polar equation r = 12/6+4 cos theta.

masya89 [10]

ANSWER

b.

EXPLANATION

The given polar equation is,

$r = \frac{12}{6 + 4 \cos( \theta) }$

Cross multiply to get,

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Substitute,

$r\cos( \theta) = x$

and

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$5{x}^{2} + 9 {y}^{2} + 16x = 16$

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Answer: 1

Step-by-step explanation:

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3) How many liters of a 20% acid solution must be mixed with a 60% solution to obtain 40 liters of a 35% solution? (25,15)THATS

serg [7]

<span>let x = the number of liters of the 20% solution.

let y = the number of liters of the 60% solution.

you want x + y to be equal to 40 liters.

x is the number of liters total in the first solution.
y is the number of liters total in the second solution.

you want .2 * x + .6 * y to be equal to .35 * 40

.2 * x is the number of liters of acid in the first solution.
.6 * y is the number of liters of acid in the second solution.
.35 * 40 is the number of liters of acid in the final solution.

you have two equations that need to be solved simultaneously.

they are:

x + y = 40
.2x + .6y = .35*40

simplify these equations to get:

x + y = 40
.2x + .6y = 14

you can solve by substitution or by elimination or by graphing.
i will solve this one by graphing.
this means to graph both equations and find the intersection.

the graph looks like this:

the graph says the intersection is at the coordinate point of (25,15).

this means that x = 25 and y = 15.

x is the number of liters of the 20% solution.
y is the number of liters of the 60% solution.

the formula of .2x + .6y = 14 becomes .2 * 25 + .6 * 15 = 14.
simplify this equation to get 14 = 14.
this confirms the solution is good.
</span>

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4 years ago

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