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3 years ago

What is 15/4 + (−4/13) as a fraction in simplest form.

Mathematics

1 answer:

OLga [1]3 years ago

7 0

Step-by-step explanation:

15/4 + (−4/13) can be rewritten as 15/4-4/13.

15/4-4/13

15 x13

4 x13

195/52

4 x4

13 x4

16/52

195/52-16/52=179/52 or 3 23/52

hope it helps!

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Sonya and Lucas walk from school to the library they walk 5 blocks south and 4 blocks west to get to the library if the school i

Lelu [443]

We are given coordinates of the school located at a point (9,-1).

Library is located 5 blocks south and 4 blocks west .

According to coordinate axes, south is downward and west is on left side.

So, we need to move 5 units down of 9.

<em>5 units down of 9 would be 9-5 = 4.</em>

And then <em>4 blocks west that mean -1 -4 = -5.</em>

<h3>Therefore, coordinate of the library is located at the point (4,-5).</h3>

4 0

3 years ago

A bicycle tire is 28 inches in diameter.

Andrej [43]

Answer:

Option A.) 88 inches

Step-by-step explanation:

step 1

Find the circumference of the wheel

we know that

The circumference of a circle is equal to

$C=\pi D$

we have

$D=28\ in$

$\pi =\frac{22}{7}$

substitute

$C=(\frac{22}{7})(28)=88\ in$

8 0

2 years ago

What is 1.04 to the 1/12 power

LiRa [457]

1.04 ^ 1/12 = 0.086666666
or
1.04 ^ 1/12 = 13/150

8 0

2 years ago

Brian started working at Domino’s in order to build his savings account. He started off with $33 dollars in his account, then ev

iragen [17]

Answer:

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Solve the matrix equation for a, b, c, and d. [1 2] [a b] [6 5][3 4] [c d]= [19 8]

Anit [1.1K]

Answer:

The answer is " $\bold{\left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}7&-2\\ -\frac{1}{2}&\frac{7}{2}\end{array}\right]}$ ".

Step-by-step explanation:

$\bold{\left[\begin{array}{cc}1&2\\3&4\end{array}\right] \left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}6&5\\ 19&8\end{array}\right]}$

Solve the L.H.S part:

$\left[\begin{array}{cc}1&2\\3&4\end{array}\right] \left[\begin{array}{cc}a&b\\c&d\end{array}\right]\\\\\\\left[\begin{array}{cc}a+2c&b+2d\\3a+4c&3b+4d\end{array}\right]$

After calculating the L.H.S part compare the value with R.H.S:

$\left[\begin{array}{cc}a+2c&b+2d\\3a+4c&3b+4d\end{array}\right]= \left[\begin{array}{cc}6&5\\ 19&8\end{array}\right]} \\\\$

$\to a+2c =6....(i)\\\\\to b+2d =5....(ii)\\\\\to 3a+4c =19....(iii)\\\\\to 3b+4d = 8 ....(iv)\\\\$

In equation (i) multiply by 3 and subtract by equation (iii):

$\to 3a+6c=18\\\to 3a+4c=19\\\\\text{subtract}... \\\\\to 2c = -1\\\\\to c= - \frac{1}{2}$

put the value of c in equation (i):

$\to a+ 2 (- \frac{1}{2})=6\\\\\to a- 2 \times \frac{1}{2}=6\\\\\to a- 1=6\\\\\to a =6 +1\\\\\to a = 7\\$

In equation (ii) multiply by 3 then subtract by equation (iv):

$\to 3b+6d=15\\\to 3b+4d=8\\\\\text{subtract...}\\\\\to 2d = 7\\\\\to d= \frac{7}{2}\\$

put the value of d in equation (iv):

$\to 3b+4 (\frac{7}{2})=8\\\\\to 3b+4 \times \frac{7}{2}=8\\\\\to 3b+14=8\\\\\to 3b =8-14\\\\\to 3b = -6\\\\\to b= \frac{-6}{3}\\\\\to b= -2$

The final answer is " $\bold{\left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}7&-2\\ -\frac{1}{2}&\frac{7}{2}\end{array}\right]}$ ".

4 0

3 years ago