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3 years ago

If Katrina runs at a pace of 3 mph how many miles can she run in 2 hours

Mathematics

2 answers:

Greeley [361]3 years ago

7 0

6 because
mph = Miles per hours if she runs 3 the answer would be 6

inessss [21]3 years ago

6 0

6 miles.

3 miles per hour times 2 hours.
3 x 2 = 6.

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Item 7

topjm [15]

Answer:8,5 recirpoal is 5,8

Step-by-step explanation:

8 0

3 years ago

How do i write a proof for this

babymother [125]

Since, the co-interior angles(55° and 125°) are supplementary(sum is 180), therefore the lines are parallel.

6 0

3 years ago

What is the first term in a geometric sequence if the common ratio is − 2 and the sum of the first six terms is −105?

Serggg [28]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
r=-2\\
n=6\\
S_6=-105
\end{cases}$

$\bf -105=a_1\left( \cfrac{1-(-2)^6}{1-(-2)} \right)\implies -105=a_1\left( \cfrac{1-(64)}{1+2} \right)
\\\\\\
-105=a_1\left( \cfrac{-63}{3} \right)\implies -105=a_1(-21)
\\\\\\
\cfrac{-105}{-21}=a_1\implies 5=a_1$

7 0

3 years ago

Problem 6

Leno4ka [110]

Answer:

8 rabbits

22 chickens

Step-by-step explanation:

c = chickens

r = rabbits

heads - c + r = 30

legs - 2c + 4r = 76

We can now use these two equations to create one by isolating the variable (c) in the first equation.

c = 30 - r

2c + 4r = 76

2(30 - r) + 4r = 76

60 - 2r + 4r = 76

2r = 16

r = 8

Now we know that there are 8 rabbits, which means that there has to be 22 chickens in order to have 30 heads.

3 0

3 years ago

Which of these strategies would eliminate a variable in the system of equations?

melomori [17]

5x -2y = 2 is the answer

8 0

2 years ago