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2 years ago

X + 4(x + 5) = 40 answer this

Mathematics

1 answer:

Ainat [17]2 years ago

4 0

Distribute
x+4x+20=40
add like terms
5x+20=40
minus 20 both sides
5x=20
divide both sides by 5
x=4

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A batch of lotion was made at a factory by mixing 1.3 liters of ingredient A with 2.7 liters of ingredient B in a mixing vat. By

nexus9112 [7]

Answer:

The worker needs 3.74L of ingredient B

Step-by-step explanation:

Given

$A:B = 1.3L:2.7L$

Required

Determine the B equivalent of (1.3L + 0.5L) of A

$A:B = 1.3L:2.7L$

Convert to Fraction

$\frac{A}{B} = \frac{1.3L}{2.7L}$

$\frac{A}{B} = \frac{1.3}{2.7}$ ----(1)

For the new mix of A

$New\ A = 1.3L + 0.5L$

$New\ A = 1.8L$

New A requires New B:

So:

We have:

$New\ A: New\ B$

Convert this to fraction;

$Ratio = \frac{New\ A}{New\ B}$

Substitut2 1.8L for New A

$Ratio = \frac{1.8L}{New\ B}$ --- (2)

Equate (1) and (2)

$\frac{1.8L}{New\ B} = \frac{1.3}{2.7}$

Cross Multiply:

$New\ B * 1.3 = 1.8L * 2.7$

Divide through by 1.3

$New\ B = \frac{1.8L * 2.7}{1.3}$

$New\ B = \frac{4.86L}{1.3}$

$New\ B = 3.74\ L$ (Approximated)

Hence;

The worker needs 3.74L of ingredient B

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2 years ago