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3 years ago

Do all then, show your work also. If you're first comment and it's all right then you get the crown

Mathematics

1 answer:

dedylja [7]3 years ago

4 0

Answer:

Shown Below

Step-by-step explanation:

The Whole number can be put over one to make multiplying easier.

1- 4/5 times 20/1 = 80/5= 16

2- 5/10 times 19/1= 95/10= 9.5

3- 2/3 times 6/1= 12/3= 4

4- 5/10 times 8/1= 40/10= 4

5- 4/6 times 16/1= 64/6= 10 2/3

6- 4/10 times 4/1= 16/10= 1 3/5

7- 2/8 times 15/1= 30/8= 3.75

8- 4/5 time 2/1= 8/5= 1.6

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Gabby and Sydney bought some pens and pencils. Gabby bought 4 pens and 5 pencils for $6.71. Sydney bought 5 pens and 3 pencils f

denpristay [2]

Answer:

The cost of each pens is $1.19

The cost of each pencils is $0.39

Step-by-step explanation:

Given as :

The number of pens bought by Gabby = 4

The number of pencils bought by Gabby = 5

The number of pens bought by Sydney = 5

The number of pencils bought by Sydney = 3

The total cost of Gabby items = $6.71

The total cost of Sydney items =$7.12

Let The cost of each pens = x

And The cost of each pencils = y

Now, According to question

For Gabby

4 x + 5 y = $6.71 .............1

For Sydney

5 x + 3 y = $7.12 .............2

Now, Solving both equations

5 × (4 x + 5 y) - 4 × (5 x + 3 y) = 5 × 6.71 - 4 × 7.12

Or, 20 x + 25 y - 20 x - 12 y = 33.55 - 28.48

Or, (20 x - 20 x) + (25 y - 12 y) = 5.07

or, 0 + 13 y = 5.07

∴ y = $\frac{5.07}{13}$

I.e y = $0.39

So, The cost of each pencils = y = $0.39

Again , put The value of y in eq 1

I,e 4 x + 5 y = $6.71

Or, 4 x + 5 × 0.39 = 6.71

or, 4 x + 1.95 = 6.71

or, 4 x = 6.71 - 1.95

or , 4 x = 4.76

∴ x = $\frac{4.76}{4}$

I.e x = $1.19

The cost of each pens = x = $1.19

Hence The cost of each pens is $1.19

And The cost of each pencils is $0.39 Answer

6 0

3 years ago

Show why x−3 is a factor of m(x)=x3−x2−5x−3. Justify your answer. You can show this using remainder theorem, long division, synt

Marat540 [252]

The factors of a polynomial function are the zeros of the function

It is true that x - 3 is a factor of m(x) = x^3 - x^2 - 5x - 3

<h3>How to show why the x - 3 is a factor</h3>

The function is given as:

m(x) = x^3 - x^2 - 5x - 3

The factor is given as:

x - 3

Set the factor to 0

x - 3 = 0

Solve for x

x = 3

Substitute 3 for x in the function

m(3) = 3^3 - 3^2 - 5(3) - 3

Evaluate

m(3) =0

Since the value of m(3) is 0, then x - 3 is a factor of m(x) = x^3 - x^2 - 5x - 3

Read more about factors at:

brainly.com/question/11579257

7 0

2 years ago

After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. You notice the rainbow is the shape of a parab

Gekata [30.6K]

We can answer the first part of the question not taking intersecting function into account. The domain of $y=-x^{2}+36$ is all the numbers, x∈(-∞, +∞) and the range is y∈(-∞, 36]. We can observe these results with the help of a graph, as well. Since we are talking about the rainbow, the values above the ground level will make sense. In this case, we will take into account the range as it changes between 0 and 36, included and the domain between -6 and 6. Here (0;36) is the y-intercept and (-6;0) and (6;0) are the x-intercepts of the parabola.

Since in our problem, the linear function that intersects parabola is not given, we have to provide it by ourselves according to the conditions of the problem. It could be any line intersecting parabola in two points. One important point is that the y-intercept has to be no more than 36. Considering these conditions, we can set our linear function to be $y=0.5x+5$ . We can observe the points that we included in the table (they have been given with orange dots in the graph and the table is attached below). We can see that the values of the function (values of y) are positive. Indeed, we are discussing the part of the rainbow above the ground level.

The system of equations with linear and quadratic functions has got two solutions and we can observe that result from the graph. The solutions are (-5.823; 2.088) and (5.323; 7.662). The solutions are the intersection points.

7 0

3 years ago

What is the LMC for 2x^2 - 8x + 8 and 3x^2 + 27x -30?

Vsevolod [243]

Answer:

Step-by-step explanation:

1st step: solve the exponential number

2x^2=4x

3x^2=9x

2nd step: rewrite the number sentence with the exponent solved

4x-8x+8 9x+27x-30

3rd step : solve

4x-8x=-4x 9x+27x=36x

-4x+8= 36x-30=

4 6

Step 4: See what least common multiples they have in common

4 LCM =2 * 2= 4 6 LCM= 2*3=6

So the LCM is 2

4 0

2 years ago

I need help can someone help me plz

Mice21 [21]

Answer:

y = 250x + 1500

Step-by-step explanation:

Slope is 250

y-intercept = 3000 - 6 × slope

3000 - 1500 = 1500

Please Mark as Brainliest!

7 0

2 years ago