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2 years ago

Choose the expanded form of this expression. 4(14a + b – 6) A. a + b – 24 B. 4a – 6b C. 4a + b – 6 D. a + 4b – 24

Mathematics

2 answers:

inn [45]2 years ago

8 0

Answer:

D. a + 4b – 24

Step-by-step explanation:

4(1/4a + b – 6)

distribute

4*1/4a + 4* b -4*6

a +4b-24

natta225 [31]2 years ago

8 0

Answer:

$a+4b-24$

Step-by-step explanation:

1) The Distributive Property of Multiplication says that any factor (e.g. number), multiplying a sum/subtraction within parenthesis. This factor can be distributed, and then multiplies each addend. As it follows:

$4(\frac{1}{4}a+b-6)=\\4(\frac{1}{4}a)+4b+4(-6)=\\a+4b-24$

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A local pizzeria offers 15 toppings for their pizzas and you can choose any 3 of them for one fixed price. How many different ty

Shtirlitz [24]

Answer:

455 or 680, depending

Step-by-step explanation:

If we assume the three choices are different, then there are ...

15C3 = 15·14·13/(3·2·1) = 35·13 = 455

ways to make the pizza.

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If two or three of the topping choices can be the same, then there are an additional ...

2(15C2) +15C1 = 2·105 +15 = 225

ways to make the pizza, for a total of ...

455 + 225 = 680

different types of pizza.

There is a factor of 2 attached to the number of choices of 2 toppings, because you can have double anchovies and tomato, or double tomato and anchovies, for example, when your choice of two toppings is anchovies and tomato.

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6 0

2 years ago

A shipping company borrows $70 million at 5% p.a. compound interest to build a new cruise ship. If it repays the debt after 3 ye

dem82 [27]

Answer:

about 11.03 million

Step-by-step explanation:

Use the equation I = P(1+r/100)^n - P (I is the compound interest, P is the principle, r is the rate percent, and n is the number of years):

Substitute the values given:

I = 70,000,000(1 + 5/100)^3 - 70,000,000

Use a calculator to solve and you will get ~11.03 million.

5 0

2 years ago

What is the result of substituting for y in the bottom equation?

zhenek [66]

Answer:

(A) $x + 3= x^2 + 2x-4$

Step-by-step explanation:

Given the equations:

$y = x + 3\\y= x^2 + 2x-4$

Substitution simply means replacing the variable y in the second equation with its equivalent x+3 from the first equation.

Substitution of y into $y=x^2 + 2x-4$ gives us:

$x + 3= x^2 + 2x-4$

The correct option is A.

6 0

1 year ago

What is the value of n in the equation –negative StartFraction one-half EndFraction left-parenthesis 2 n plus 4 right-parenthesi

fgiga [73]

Answer:

Solution to equation: $n = 1$

Step-by-step explanation:

We are given the following equation:

$-\dfrac{1}{2}(2n + 4) + 6 = -9 + 4(2n + 1)$

We have to solve the equation to find the value of n.

Solving the equation, we get,

$-\dfrac{1}{2}(2n + 4) + 6 = -9 + 4(2n + 1)\\\\-\dfrac{1}{2}(2n + 4)-4(2n+1) = -9-6\\\\-n-2-8n-4 = -15\\\Rightarrow -9n = -15 + 6\\\Rightarrow -9n = -9\\\Rightarrow n = 1$