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icang [17]
3 years ago
9

Create an expression to represent the following (picture is included below)

Mathematics
1 answer:
zheka24 [161]3 years ago
6 0

Answer:

7) x + 0.09x, where x is the price of the car

8) x + 0.05x where x is the price of clothing

9) It will take michael about 9.14 minutes to eat 32 cookies.

Step-by-step explanation:

7) 9% of x is the same as 0.09x, so you can write this:

x + 0.09x, where x is the price of the car

8) same thing for this one

x + 0.05x where x is the price of clothing

9) michael can eat cookies at a rate of 21 cookies per 6 minutes, or \frac{21}{6}

Because he will be eating them at the same pace, you can write an equation and solve for the variable:

\frac{21}{6} = \frac{32}{y}

cross multiply the proportion:

21 × y = 32 × 6

solve:

21y = 192

y ≈ 9.14

It will take michael about 9.14 minutes to eat 32 cookies.

This works because they both simplify to 3.5 cookies per minute

\frac{21}{6} = 3.5

\frac{32}{9.14} = 3.5

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Bethany walks at a rate of 3 step every 2 seconds at this rate how many seconds will it take Bethany to walk 60 steps
Taya2010 [7]

Answer:

30seconds

Step-by-step explanation:

if it takes 2 seconds to walk 3steps then in 30 seconds she should have walked 60 steps.

3 0
3 years ago
U/v * 5 where u = 4 and v = 6
Ann [662]
4 divided by 6 times 5 equals 3.333
7 0
3 years ago
Can somebody please explain to me how you get the answer 14.6 when you subtract negative 9.3 from negative 23.9. Please Help?!?!
miss Akunina [59]
Hi so have you heard of KFC?  It stands for keep flip change.  You use it when adding or subtracting or when you're dividing fractions.  So you keep the first part of the problem the same; you flip the sign of the second part, and change the sign of the third part.  So -23.9- -9.3 becomes -23.9 + +9.3.  So take away 9.3 from 23.9 and get 14.6.  Whenever you add a positive to a negative like we do here, the answer will become a smaller negative number if the positive number is "smaller" than the negative number.
5 0
4 years ago
Read 2 more answers
What is the graph of the linear inequality y≤−3x+4?
tatiyna

Answer:

It would look like the picture I attached at the bottom.

Step-by-step explanation:

We know that the slope is -3 and the y intercept is (0,4) (plugging in 0 for x will get you that point), and then you can just graph an equation like you normally would, using rise/run to go down 3 units for every one unit you go right, and plugging in easy x values to check your work.

It gets a little tricky because the question then adds the inequality, and we see that y is now less than <em>or equal to </em>the original equation.

Since it is less than, we can shade all the values below the graph.

(Also, you should probably note for future reference that if it was just less than, the shading would look the same while the graph itself would be dotted because the values on the line are nor included in the solution set).

Desmos is a great website to use if you're having trouble graphing in the future :)

5 0
3 years ago
Write a polynomial function of least degree with integral coefficients that has the given zeros. -5, 3i
Virty [35]

Solving for the polynomial function of least degree with integral coefficients whose zeros are -5, 3i

 

We have:
x = -5

Then x + 5 = 0

Therefore one of the factors of the polynomial function is (x + 5)


Also, we have:
x = 3i
Which can be rewritten as:
x = Sqrt(-9)
Square both sides of the equation:
x^2 = -9
x^2 + 9 = 0

Therefore one of the factors of the polynomial function is (x^2 + 9)


The polynomial function has factors: (x + 5)(x^2 + 9)
= x(x^2 + 9) + 5(x^2 + 9)

= x^3 + 9x + 5x^2 = 45

Therefore, x^3 + 5x^2 + 9x – 45 = 0

f(x) = x^3 + 5x^2 + 9x – 45

 

The polynomial function of least degree with integral coefficients that has the given zeros, -5, 3i is f(x) = x^3 + 5x^2 + 9x – 45

5 0
3 years ago
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