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3 years ago

Jeremiah has already walked 8 kilometers this week, plus he plans to walk 1 kilometer

Mathematics

1 answer:

zalisa [80]3 years ago

6 0

Answer:

Step-by-step explanation:

First it starts with the 8+20(distance to school)

8+20(1)

8+20

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3. How many solutions does the system of equations have? 2x=-10y+ 6 and x+5y=3

ozzi

Answer:

<h2>3. Infinitely many</h2>

Step-by-step explanation:

$\left\{\begin{array}{ccc}ax+by=c\\dx+ey=f\end{array}\right\\\\(1)\\\text{if}\ a=d,\ b=e,\ c=f,\ \text{then the system of equations has infinitely many solutions}\\Example:\\\left\{\begin{array}{ccc}2x-3y=5\\2x-3y=5\end{array}\right\\(2)\\\text{if}\ a=d,\ b=e,\ c\neq f,\ \text{then the system of equations has no solution}\\Example:\\\left\{\begin{array}{ccc}2x-3y=5\\2x-3y=-5\end{array}\right$

$(3)\\\text{if}\ a\neq d\ \text{or}\ b\neq e,\ \text{then the system of equations has infinitely many solutions}\\Example:\\\left\{\begin{array}{ccc}x-3y=5\\2x-3y=5\end{array}\right$

$\text{We have:}\\\\\left\{\begin{array}{ccc}2x=-10y+6&\text{add 10y to both sides}\\x+5y=3\end{array}\right\\\left\{\begin{array}{ccc}2x+10y=6&\text{divide both sides by 2}\\x+5y=3\end{array}\right\\\left\{\begin{array}{ccc}x+5y=3\\x+5y=3\end{array}\right$

4 0

4 years ago

Catherine invested a principal of $1,650 in her bank account with interest rate 3.1 % How much interest did she earn in 14 years

never [62]

Answer:

$693

Step-by-step explanation:

Catherine invested a principal of $1,650 in her bank account with;

interest rate of 3.1%

How much interest did she earn in 14 years?

To find the amount accumulated in the 14 years, we use the formula:

A = P(1 + rt)

Where A is the amount accumulated, P is the principal, r is the interest rate and t is the time.

A = $1650(1 + $\frac{3}{100}$ (14))

A = $1650 + $693 = $2343

Interest = Amount (A) - Principal (P) = $2343 - $1650 = $693

7 0

3 years ago

Read 2 more answers

Solve for m and show your work. 4n=3m-1

Bad White [126]

4n = 3m - 1

4n = 3m - 1
Subtract 3m from both sides.
-3m + 4n = -1
Subtract 4n from both sides.
-3m = -4n - 1
Divide both sides by -3.
m = 4/3n + 1/3

m = 4/3n + 1/3

4 0

3 years ago

Read 2 more answers

Two lines intersect at a point, forming ∠1 , ∠2 , ∠3 , and ∠4 .

Ad libitum [116K]

The answer is: [B]: " 60° " .
________________________________________
Because at whatever location, <span>∠2 and ∠4 are vertical angles;
</span>
and all vertical angles have equal measurements.

Given: m∠1 is 120°, and ∠1 is supplementary to ∠2 ;

then m∠1 + m∠2 = 180° .

So, m∠2 = (180 - 120)° = 60° .

As aforementioned:

m∠4 = m∠2 = 60° ; which is: Answer choice: [B]: " 60° " .
___________________________________________________

3 0

3 years ago

A room contains three urns: u1, u2, u3. u1 contains 3 red and 2 yellow marbles. u2 contains 3 red and 7 yellow marbles. u3 conta

Archy [21]

Answer:

$\dfrac{11}{30}$