A sauce recipe calls for a cup of chicken broth. To make enough sauce for a party, Marcy needs to triple the

Mathematics

1 answer:

tia_tia [17]3 years ago

4 0

Answer:

She estimates that the tripled recipe will need

✔ less than 3

cups of chicken broth.

The exact amount of chicken broth needed is

✔ 9/4

cups.

Step-by-step explanation:

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The value of x in the equation 4^(2x+5)=8^(3x)

Roman55 [17]

4⁽²ˣ ⁺ ⁵⁾ = 8³ˣ

But 4 = 2² and 8 = 2³

4⁽²ˣ ⁺ ⁵⁾ = 8³ˣ

2²⁽²ˣ ⁺ ⁵⁾ = (2³)³ˣ

Multiply out the powers, also since the

2⁴ˣ ⁺ ¹⁰ = 2⁹ˣ

Since the bases are the same, hence the powers are also the same.

4x + 10 = 9x

4x - 9x = -10

-5x = -10

x = -10/-5

x = 2

Hope this explains it.

3 0

3 years ago

Does anyone know if this is correct or how to do this? (part a,b, and c)

stepladder [879]

Part A you would use 200-L ( since you have 400 feet total 200 feet would equal length plus width)

Part B 200 - 80 = 120

Part C 200-90 = 110

area = 90 x 110 = 9900 square feet

5 0

3 years ago

What is the square root of 2x equals 8

Fiesta28 [93]

2x = 8 ... therefore x = 4
4^2 = 16

8 0

3 years ago

What is the value of x to the nearest tenth?

Colt1911 [192]

Answer:

C. 17.6

General Formulas and Concepts:

Math

Rounding

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] tanθ = opposite over adjacent

Step-by-step explanation:

Step 1: Identify Variables

Angle θ = 40°

Opposite Leg = x

Adjacent Leg = 21

Step 2: Solve for x

Substitute in variables [tangent]: $\displaystyle tan(40^\circ) = \frac{x}{21}$
[Multiplication Property of Equality] Isolate x: $\displaystyle 21tan(40^\circ) = x$
Rewrite: $\displaystyle x = 21tan(40^\circ)$
Evaluate: $\displaystyle x = 17.6211$
Round: $\displaystyle x \approx 17.6$