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There are 7 oak trees in Aidan's yard. The other 2 trees in his yard are maple trees.

Radda [10]

7/9 of his trees are oak trees

6 0

3 years ago

sarah can complete a project in 90 minutes and her sister betty can complete it in 120 minutes if they both work on the project

alukav5142 [94]

Answer:

It will take them approximately 51.43 minutes to complete the project together

Step-by-step explanation:

This is what is called a "shared job" problem.

The best way to work on them is to start by finding the "portion" of the job done by each of the people in the unit of time.

So, for example, Sarah completes the project in 90 minutes, so in the unit of time (that is 1 minute) she completed 1/90 of the total project

Betty completes the project in 120 minutes, so in the unit of time (1 minute) she completes 1/120 of the total project.

We don't know how long it would take for them to complete the project when working together, so we call that time "x" (our unknown).

Now, when they work together completing the entire job in x minutes, in the unit of time they would have done 1/x of the total project.

In the unite of time, the fraction of the job done together (1/x) should equal the fraction of the job done by Sarah (1/90) plus the fraction of the job done by Betty. This in mathematical form becomes:

$\frac{1}{x} =\frac{1}{90} +\frac{1}{120}\\\frac{1}{x} =\frac{4}{360} +\frac{3}{360}\\\frac{1}{x} =\frac{7}{360} \\x=\frac{360}{7} \\x=51.43\,\,min$

So it will take them approximately 51.43 minutes to complete the project together.

8 0

3 years ago

Which figure has both lines of symmetry and symmetry and rotation symmetry?

Sedaia [141]

Answer:

Pentagon

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

'Quiz: Math Review Quiz

pentagon [3]

Answer:

The tax rate is 4.3%

Step-by-step explanation:

First, we have to assume $2.79 is 100%. We know that x% equals 0.12 of the output value. Now we have two simple equations: 100%=2.79 and x%=0.12.

Then, 100%/x%=2.27/0.12 and that gives us 4.3%!

Hope this helps.

8 0

3 years ago

Which of the following polynomials is the expansion of (x - y)4? x4 - x3y + x2y2 - 2xy3 + y4 x4 -2x3y3 + y4 x4 - 2x3y + x 2y 2 -

sammy [17]

Answer:

$(x-y)^4=x^4-x^3y+6x^2y^2-4xy^3+y^4$ .

Step-by-step explanation:

We want to find the polynomial that will result from expanding:

$(x-y)^4$ .

Recall that we can use the Pascal's triangle to obtain the coefficient as:

1 4 6 4 1

Also note how the negative sign is going to alternate.

The <em>power of x </em>will decrease from left to right while the <em>power of y</em> increases from left to right

The expansion then becomes:

$(x-y)^4=x^4-x^3y+6x^2y^2-4xy^3+y^4$ .

7 0

3 years ago