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Anna35 [415]
3 years ago
9

The sale price of an item is 0.75 the original price of the item, x. Which statement explains why both 34x and 0.75x can find th

e sale price of the item?
A Multiplying by 43 is the same as multiplying by 0.8.

B The expressions are not equivalent.

C The fraction 34 is the same as the decimal 0.25. Therefore, 34x can be written as 0.25x.

D Multiplying by 34 is the same as multiplying by 75%.
Mathematics
2 answers:
defon3 years ago
8 0

Answer:

B

Step-by-step explanation:

34x and 0.75x are not the same expression.

Zinaida [17]3 years ago
6 0

Answer:

D Multiplying by 3/4 is the same as multiplying by 75%.

Step-by-step explanation:

Lets look at the fraction 3/4.  Multiply by 25/25

3/4 * 25/25 = 75/100

Now we need to change it to a decimal

75/100 = .75

3/4 and .75 are the same.

75 % means out of 100

75 % = 75/100

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For questions 9 and 11, solve for the remaining angles.
maw [93]

Answer:

‹A = 141°

‹B = 28°

‹C = 11°

*These angles are rounded to the nearest whole*

Step-by-step explanation:

Because you are only given sides you can find an individual angle measures with the inverse law of cosines.

Remember the side opposite of the angle corresponds to that angle.

a² = b² + c² - 2bc cos(A) →

A = cos⁻¹ (a² - b² - c² / -2bc)

b² = a² + c² - 2ac cos(B) →

B = cos⁻¹ (b² - a² - c² / -2ac)

c² = a² + b² - 2ab cos(C) →

C = cos⁻¹ (c² - a² - b² / -2ab)

4 0
2 years ago
F(x)=2log(-1/2x-1)+1
Annette [7]

Answer:

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Step-by-step explanation:

3 0
2 years ago
1. Find the vertex of the following: y = (x - 4)(x - 10) *
horsena [70]

Answer:

1. (7,-9)

2. (4,0) and (10,0)

3. (3,0) and (-3,0)

4. (0,-9)

5. (-1,-32)

Step-by-step explanation:

To find the vertex use the formula

\frac{-b}{2a}

First make the equation into a quadratic equation.

(x-4)(x-10)\\x^{2} -10x-4x+40\\x^{2} -14x+40

Now it is in the form

ax^{2} +bx+c=0

Now we can substitute the values

\frac{-(-14)}{2(1)} \\\frac{14}{2} \\7

Now we have 7 as our x value for the vertex we can substitute for y,

x^{2} -14x+40=y\\(7)^{2} -14(7)+40=y\\49-98+4=y\\y=-9

So the vertex for 1 is (7,-9)

To find the intercepts for 2 & 3, they basically already give it to you. You just need to find a value for x for x-4 that will equal it to 0 and another for x for x-10 that will equal it to 0.

x-4=0\\x=4\\\\x-10=0\\x=10

4 is slightly different but start the same,

(x-3)(x+3)\\x^{2}+3x-3x-9\\x^{2}-9

Here, c (9) just shows the graph move down 9, so the y intercept = 9.

5 is the same process as 1,

2(x-3)(x+5)\\2(x^{2}+5x-3x-15)\\2(x^{2}+2x-15)\\2x^{2}+4x-30

Vertex,

\frac{-(4)}{2(2)} \\\frac{-4}{4} \\-1

Substitute,

2x^{2}+4x-30\\2(-1)^{2}+4(-1)-30\\2-4-30\\-32

So the vertex is (-1,-32)

8 0
3 years ago
Let n (AUB)=32n(B)=16and n(ANB)9 find n (A)​
Lubov Fominskaja [6]

Answer:

32

Step-by-step explanation:

n(A∪B)=n(A)+n(B)−n(A∩B)−−−−−−−(1)

Given n(A)= ? we represent with x

n(B)= 16

n(A∪B) = 32

Substituting in equation 1 to get n(A)

32  = n(A) + 9 − 9

⇒n(A) = 32 − 0

n(A)  = 32

to confirm this we put the values into the formula below

n(A∪B)=n(A)+n(B)−n(A∩B)−−−−−−−(1)

32 =  32 + 9 - 9

4 0
2 years ago
Read 2 more answers
The drama club sold $779 worth of tickets to the school play. Student tickets cost $3 a piece and tickets for everyone else cost
svetlana [45]

Answer:

<em>The equation will be:  3s+5t=779</em>

Step-by-step explanation:

The number of student tickets that were sold =s

and the number of other tickets that were sold =t

Student tickets cost $3 a piece and tickets for everyone else cost $5 each.

So, <u>the total cost of</u>  s  <u>student tickets</u> =\$3s and <u>the total cost of</u>  t  <u>other tickets</u> =\$5t

Given that, the drama club sold <u>total $779 worth of tickets</u>.

So, the equation will be:  3s+5t=779

3 0
3 years ago
Read 2 more answers
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