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Softa [21]
3 years ago
7

Write an algebraic expression to model the given context.Give your answer in simplest form. (please explain)A.) The original pri

ce p of an item less a 15% discount
Mathematics
1 answer:
babymother [125]3 years ago
3 0

Answer:

The algebraic expression is (P-0.15p) = 0.85p

Step-by-step explanation:

Here, we want to write an algebraic expression to model the situation at hand;

Original price p of an item less a 15% discount

What this mean is that we want to remove a 15% discount from the original price P

That term ‘less’ means we are subtracting

so 15% of p would be;

15/100 * p = 15p/100 = 0.15p

So 15% of P less P is (P-0.15P) = 0.85P

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Let f(x)=4x2+5. The function g(x) is f(x) translated up 4 units. Enter the equation of g(x) in the box.
Zepler [3.9K]
Al you have to do is add 4 to the equation
This gives you g(x)=4x^2+9 which is your answer

6 0
4 years ago
Read 2 more answers
Mike and Ike are twins. Mike’s age is one more than twice a certain number. Ike’s age is 10 less than triple that same number. F
Misha Larkins [42]
Mike age is 3 less then twice the age of his brother nuke.
M = Mike's age now
N = Nuke's age now
M = 2N - 3

Ten years ago, four times nuke's age was one more mike's age.
M-10 = Mike's age 10 years ago
N-10 = Muke's age 10 years ago
4(N - 10) = 1 + M -10

what are their present ages

find M and N

substitute M = 2N - 3 into 4(N - 10) = 1 + M -10:

4(N - 10) = 1 + [2N - 3] - 10
4N - 40 = 2N - 12
2N = 28
N = 14

M = 2(14) - 3 = 28 - 3 = 25

Mike is 25 and Nuke is 14.

check:
4(14 - 10) = 4(4) = 16 = 26 -10 = 1 + 25 - 10
4 0
3 years ago
What is the measure of angle 6, if lines x and y are parallel, and angle 7 measures 121°? 121° 69° 59° 49°
Marianna [84]

Answer:

59°

Step-by-step explanation:

From the diagram, shown in the attachment line x and y are parallel lines.

Angle 7 and angle 6 are angles on a straight line.

The two angles will add up to 180 degrees.

\angle 7+\angle 6=180

But angle 7 measures 121°.

This implies that:

121+\angle 6=180

Solve for angle 6 to get;

\angle 6=180-121\

\angle 6=59\degree

7 0
4 years ago
Hurry I need the answers plz and how u got it
aleksley [76]

There are 122,100 public school teachers in Ohio and Ohio has a population of 11.6 million people. Illinois has a population of 12.9 million people. If the number of public school teachers per capita in Illinois was proportional to that of Ohio, how many public school teachers would we expect Illinois to have?

This problem uses proportionality or the relationship between two values. Typically, proportions are expressed as fractions. So, we can set this up as

\frac{Teachers}{Population} and we can use this to express both of our values. So, for Ohio, we have \frac{122,100}{11,600,000} and for Illinois we have \frac{x}{12,900,900}. Now, because they are proportional, we can set them equal to each other and we get \frac{122,100}{11,600,00} = \frac{x}{12,900,000}. Now we can cross multiply to get $11,600,000x=1446090000000$ . To get the $x$ alone on one side, we divide by$11,600,000$ and we get 124,662.931034, which is about equal to 124,663.

Therefore, we expect Illinois to have 124,663 public school teachers

4 0
3 years ago
(0, 4) and (4,0)<br> Rate of Change: <br> b=
yawa3891 [41]

Answer:

b=4

Step-by-step explanation:

5 0
3 years ago
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