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Aleksandr [31]
3 years ago
14

Halee set up a lemonade and cookie stand at the end of her street. She is selling lemonade for $0.25 per cup and cookies for $0.

25 each. She sells 15 cookies and 35 cups of lemonade. Her total sales can be represented by the expression shown.
0.25(35) + 0.25(15)

Use the commutative property to write an equivalent expression.
A) 0.25(15 + 35)
B) 0.25(15) + 35
C) 0.25 + 35 + 15
D) 0.25(15) + 0.25(35)
Halee set up a lemonade and cookie stand at the end of her street. She is selling lemonade for $0.25 per cup and cookies for $0.25 each. She sells 15 cookies and 35 cups of lemonade. Her total sales can be represented by the expression shown.

0.25(35) + 0.25(15)

Use the commutative property to write an equivalent expression.
A) 0.25(15 + 35)
B) 0.25(15) + 35
C) 0.25 + 35 + 15
D) 0.25(15) + 0.25(35)
Mathematics
2 answers:
Katyanochek1 [597]3 years ago
7 0

Answer:

A.) 0.25(15+35)

Step-by-step explanation:

s344n2d4d5 [400]3 years ago
6 0

Answer: 0.25*50

Step-by-step explanation:

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I need help with these two problems. [9 and 10] FORMULAS GIVEN!!
zaharov [31]
<h2>Question 9:</h2>

1. Use Pythagorean Theorem (a²+b²=c²) to solve for missing side of triangle and rectangle. x²+16²=20², or x²+256=400. So, x²=144, and x=12

2. Use formula: 1/2(h)(b1+b2). 1/2 (12) (30+14).

3. Simplify: 1/2 (12) (44)=1/2(528)=264

Area of whole figure is 264 square mm.

<h2>Question 10:</h2>

Literally same thing but with trigonometry.

1. Use sine to find out length of dotted line: sin(60°)=x/12

2: Simplify: 12*sin(60°)=x. x≈10.4 (rounded to the nearest tenth)

3. Use Pythagorean Theorem to find out last leg of triangle: 10.4²+x²=12²

4: Simplify: 108.16 +x²=144. x²=35.84 ≈ 6

5: Use formula: 1/2(h)(b1+b2). 1/2 (10.4) (30+36)

6: Simplify: 1/2 (10.4) (66) =343.2

7: Area of figure is about 343.2

Remember, this is an approximate answer with rounding, so it might not be what your teacher wants. The best thing to do is do it yourself again.

4 0
3 years ago
If g(x)=a x f(x+b) how is f(x) transformed to get g(x)
guajiro [1.7K]

Answer:

Ok, we know that g(x) = a*f(x + b), we want to find all the transformations that we must apply to f(x) to construct g(x).

Let's assume at the beggining that T2(T1(f(x))) = g(x), and start appliying the transformations.

First, we have a horizontal shift.

If we want to move the graph A (A positive) units to the right, we should have:

g(x) = f(x - A)

in this case we have

g(x) = f(x + b) = f(x - (-b))

So we have a shift of -b units to the right, or b units to the left.

Second:

We have a vertical contraction/dilation.

if we have a function f(x), a compression/dilation of scale factor A is written as:

g(x) = A*f(x)

if A > 1, we have a dilation.

if 0 < A < 1, we have a contraction.

In this case the scale factor is a.

g(x) = a*f(x).

Now, applying both transformations we have:

> shift of b units to the left.

> contraction/dilation of scale factor a.

g(x) = a*f(x +b)

4 0
3 years ago
Read 2 more answers
Identify the corresponding word problem given the equation: x = 10.20 × 9
crimeas [40]

B) At a restaurant, William and eight friends divided the bill evenly. If each person paid $10.20, what was the total bill?

8 0
3 years ago
Cedar point is an amusement park located in Sandusky, OH. It's collection of 112 rides is the largest in the world. Of the rides
Agata [3.3K]

Answer:

 32 Roller Coasters

Step-by-step explanation:

There are a total of 112 rides in Cedar Point.

\frac{2}{7} of these rides are roller coasters.

In Algebraic Word Problems, the term "OF" means Multiplication.

Number of Roller Coasters = \frac{2}{7} of 112

                                          =\frac{2}{7} X 112

                                          =2 x 16

                                          =32

There are 32 Roller Coasters in Cedar's point's collection of rides.

8 0
3 years ago
What is another way to write the absolute value inequality lpl&lt;12?
guajiro [1.7K]

Answer:

p < 12 ∨ p >-12

For definition of absolute value.

3 0
3 years ago
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