How many different 7-place license plates are possible if the first 3 places are to be occupied by letters?

A chemist has two alloys, one of which is 15% gold and 20% lead and the other which is 30% gold and 50% lead. How many grams of

vlabodo [156]

Answer: 490 grams of the first alloy should be used.

30 grams of the second alloy should be used.

Step-by-step explanation:

Let x represent the weight of the first alloy in grams that should be used.

Let y represent the weight of the second alloy in grams that should be used.

A chemist has two alloys, one of which is 15% gold and 20% lead. This means that the amount of gold and lead in the first alloy is

0.15x and 0.2x

The second alloy contains 30% gold and 50% lead. This means that the amount of gold and lead in the second alloy is

0.3y and 0.5y

If the alloy to be made contains 82.5 g of gold, it means that

0.15x + 0.3y = 82.5 - - - - - - - - - - - -1

The second alloy would also contain 113 g of lead. This means that

0.2x + 0.5y = 113 - - - - - - - - - - - - -2

Multiplying equation 1 by 0.2 and equation 2 by 0.15, it becomes

0.03x + 0.06y = 16.5

0.03x + 0.075y = 16.95

Subtracting, it becomes

- 0.015y = - 0.45

y = - 0.45/- 0.015

y = 30

Substituting y = 30 into equation 1, it becomes

0.15x + 0.3 × 30 = 82.5

0.15x + 9 = 82.5

0.15x = 82.5 - 9 = 73.5

x = 73.5/0.15

x = 490

6 0

3 years ago

F(4) if f(x) = 3x - 1

Romashka-Z-Leto [24]

beeeeeeeeeeeeeeep hope it helps

5 0

3 years ago

Read 2 more answers

Pls help me no explain need ❤️❤️❤️

RoseWind [281]

Answer:

$\displaystyle m=2$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Reading a Cartesian plane
Coordinates (x, y)
Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-5, 0)

Point (-9, -8)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]: $\displaystyle m=\frac{-8-0}{-9+5}$
[Fraction] Subtract/Add: $\displaystyle m=\frac{-8}{-4}$
[Fraction] Divide: $\displaystyle m=2$

3 0

3 years ago

P(A) = 0.5 P(B) = 0.35 P( A or B) = ?

neonofarm [45]

Answer:

0.5 ≥ x ≥ 0.35

Step-by-step explanation:

3 0

3 years ago

6

raketka [301]

Answer:

The answer is 12

6×12= 24

6×12=72

6 0

2 years ago