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ollegr [7]
3 years ago
6

A.) A $135 pair of shoes is on sale for 40% off. If the sales tax is 8%, what is the final price of the shoes? The shoes will co

st ______
b. A $35 jacket was markup by the store by 27%. What is the selling price of the jacket? The jacket will cost ______.
Mathematics
1 answer:
Reil [10]3 years ago
5 0

Answer:

a is 87.48.

Step-by-step explanation:

135x0.40=54

135-54=81

81x1.08= 87.48

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One-third of a number t is equal to 7.<br> Write the word sentence as an equation then solve
Artemon [7]

Answer:

21

Step-by-step explanation:

One third of the number can be represented by 1/3t.

To make an equation, set this equal to 7.

1/3t = 7

Then, solve for t by dividing each side by 1/3:

1/3t = 7

t = 21

So, the number is 21.

6 0
3 years ago
if there is a line and a point not on the line, then there is exactly one line through the point that intersects the given line?
arlik [135]
The answer is an intersect between both lines.
7 0
4 years ago
Complete the statements about the key features of the graph of f(x) = x5 – 9x3. As x goes to negative infinity, f(x) goes to neg
Mars2501 [29]
The function is f(x)= x^{5} -9x ^{3}

1. let's factorize the expression x^{5} -9x ^{3}:

f(x)= x^{5} -9x ^{3}= x^{3} ( x^{2} -9)=x^{3}(x-3)(x+3)

the zeros of f(x) are the values of x which make f(x) = 0.

from the factorized form of the function, we see that the roots are:

-3, multiplicity 1
3, multiplicity 1
0, multiplicity 3

(the multiplicity of the roots is the power of each factor of f(x) )


2.  
The end behavior of f(x), whose term of largest degree is x^{5}, is the same as the end behavior of  x^{3}, which has a well known graph. Check the picture attached. 

(similarly the end behavior of an even degree polynomial, could be compared to the end behavior of x^{2})

so, like the graph of x^{3}, the graph of f(x)= x^{5} -9x ^{3} :

"As x goes to negative infinity, f(x) goes to negative infinity, and as x goes to positive infinity, f(x) goes to positive infinity. "

7 0
3 years ago
Read 2 more answers
Please help 100 points
emmainna [20.7K]

Answer:

Choices A, C, E

Step-by-step explanation:

The prices are proportional, so divide any price by the corresponding number of pounds to find the unit cost.

$1.47/(3 lb) = $0.49/lb

The unit cost is $0.49 per lb.

Now we look in the choices to see which choice has a unit price of $0.49/lb.

We divide each price by its number of pounds to fund each unit cost. Every choice with a unit cost of $0.49/lb is an answer.

A $0.98/(2 lb) = $0.49/lb     Choice A works

B $4.45/(7 lb) = $0.64/lb      Choice B does not work

C $2.94/(6 lb) = $0.49/lb     Choice C works

D $0.54/(1 lb) = $0.54/lb     Choice D does not work

E $3.92/(8 lb) = $0.49/lb     Choice E works

Answer: Choices A, C, E

6 0
3 years ago
Statements
vazorg [7]

Answer:

See Explanation

Step-by-step explanation:

The question has unclear information.

So, I'll answer from scratch

Given

ABC = Right angled triangle

DB bisects ABC

Required

Prove that CBD = 45

From the question, we have that:

ABC is right angled at B

So, when DB bisects ABC, it means that DB divides ABC into two equal angles.

i.e.

CBD = ABD

and

CBD + ABD = 90

Substitute CBD for ABD in CBD + ABD = 90

CBD + CBD = 90

2CBD = 90

Divide both sides by 2

\frac{2CBD}{2} = \frac{90}{2}

CBD = \frac{90}{2}

CBD = 45

Hence, it is proved that CBD = 45

<em>Follow the above explanation and use it to answer your question properly</em>

6 0
3 years ago
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