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iris [78.8K]
3 years ago
15

Peter walked for 2/5 mile to Fred's house and then 1/2 mile to the park. How can he write 2/5 and 1/2 as pair of fractions with

common denominattor?
Mathematics
2 answers:
andre [41]3 years ago
6 0
4/10 and 5/10 i think unless i totally failed
Volgvan3 years ago
6 0
2/5 and 1/2
If you multyply 5 and 2 you will get 10 which is a common denominator of both numbers (5 and 2)
Remember that if you do something to your denominator you must also do it to your numerators.
So, 5 multiplied by 2 is 10.... Put both denominators as 10
?/10 and ?/10
Now think... What multiplied by 5 gave me 10? The answer is 2. So, you multiply 2 and 2 in order to give you 4.
Now we have:
4/10 and ?/10
Now you think.... What multiplied by 2 gave me 10? The answer is 5. So you do 1 multiplied by 5 which gives you 5.
Now you have:
4/10 and 5/10
Thats the answer!
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What is the equation of a parabola that has a vertex at ( 0,4 ) and passes through points ( 2,0 )?
vlada-n [284]

Answer:

<u>y = -x² + 4</u>

Step-by-step explanation:

The equation of the parabola in the vertex form is:

y = a (x-h)² + k

Where: (h,k) the coordinates of the vertex & a is a multiplier

The parabola has a vertex at ( 0,4 )

So, h = 0 , k = 4

∴ y = a (x-0)² + 4

∴ y = a x² + 4

The parabola passes through points ( 2,0 )

∴ 0 = a 2² + 4

∴ 4 a = -4  ⇒ a = -4/4 = -1

∴ y = -x² + 4

So, the equation of a parabola that has a vertex at ( 0,4 ) and passes through points ( 2,0 ) is <u>y = -x² + 4</u>

See the attached figure.

4 0
3 years ago
What is the solution to the system of equations? One-fourth x minus one-half y = 8 One-half x + three-fourths y = negative 5 (–8
kiruha [24]

Answer:

Step-by-step explanation:

x/4-y/2=8, x-2y=32, x=32+2y

x/2+3y/4=-5, 2x+3y=-20, x=(-20-3y)/2

32+2y=(-20-3y)/2

64+4y=-20-3y

7y=-84

y=-12, since x=32+2y

x=32+2(-12), x=32-24=8

So the solution is the point (8, -12)

3 0
3 years ago
Read 2 more answers
Given that f(x) = 5x - 10 and g(x) = x + 3, find f(g(-1)).
musickatia [10]

\bf \begin{cases} f(x) = 5x-10\\ g(x) = x + 3 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ g(-1)=(-1)+3\implies \boxed{g(-1) = 2} \\\\\\ f(~~g(-1)~~)\implies f\left( \boxed{2} \right) = 5(2)-10\implies \stackrel{f(~g(-1)~)}{f(2)}=0

5 0
3 years ago
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What is the volume of a cylinder with height 4 and radius 2? Use 3.14 for pi.
Over [174]

Answer:

50.27

v=3.14 (2 squared) 4

5 0
3 years ago
Given the matrices: 1 2 A= 1 -1 2 1 1 B= 3 4 Calculate AB: C11 C12 [2.1] х 1 2 3 4 C21 C22 C11 = C12 = -2 C22 - C215 DONE​
eduard

Answer:

\:c_{11}=-2,\:\:\:c_{12}=-2

\:c_{21}=5,\:\:\:c_{22}=8

Step-by-step explanation:

Given the matrices

A=\begin{pmatrix}1&-1\\ 2&1\end{pmatrix}

B=\begin{pmatrix}1&2\\ \:3&4\end{pmatrix}

Calculating AB:

\begin{pmatrix}1&-1\\ \:\:2&1\end{pmatrix}\times \:\begin{pmatrix}1&2\\ \:\:3&4\end{pmatrix}=\begin{pmatrix}c_{11}&c_{12}\\ \:\:\:c_{21}&c_{22}\end{pmatrix}

Multiply the rows of the first matrix by the columns of the second matrix

                                   =\begin{pmatrix}1\cdot \:1+\left(-1\right)\cdot \:3&1\cdot \:2+\left(-1\right)\cdot \:4\\ 2\cdot \:1+1\cdot \:3&2\cdot \:2+1\cdot \:4\end{pmatrix}

                                   =\begin{pmatrix}-2&-2\\ 5&8\end{pmatrix}

Hence,

\begin{pmatrix}c_{11}&c_{12}\\ \:\:\:c_{21}&c_{22}\end{pmatrix}=\begin{pmatrix}-2&-2\\ \:5&8\end{pmatrix}

Therefore,

\:c_{11}=-2,\:\:\:c_{12}=-2

\:c_{21}=5,\:\:\:c_{22}=8

5 0
3 years ago
Read 2 more answers
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