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lidiya [134]
3 years ago
13

The sum of 1/6, 2/3, and 1/4 is

Mathematics
1 answer:
Oxana [17]3 years ago
3 0
First, make all the denominators same.
Then calculate.
Hopefully this helps :D

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Determine the​ value(s) of h such that the matrix is the augmented matrix of a consistent linear system. [Start 2 By 3 Matrix 1s
Leni [432]

Answer: h = 9

Step-by-step explanation: A system of linear equations is consistent when it has at least one solution.

The matrix given is:

\left[\begin{array}{ccc}-15&21&h\\5&-7&-3\end{array}\right]

Transform this matrix in a row-echelon form:

\left[\begin{array}{ccc}-15&21&h\\5&-7&-3\end{array}\right]   R_{2} = 3R_{2}+R_{1} \left[\begin{array}{ccc}-15&21&h\\0&0&-9+h\end{array}\right]

For this row-echelon form to have solutions:

-9 + h = 0

h = 9

For this system to be consistent: h = 9.

3 0
3 years ago
A pipe is leaking at 1.5 cups per day about how many gallons per week is the pipe leaking
yawa3891 [41]
1 U.S. CUP - 0.0625 U.S. GALLONS

So? Convert the cups to gallons.

7 DAYS/PER WEEK

1.5 x 7 = 10.5

So... half a cup is about 0.03125 gallons.

0.03125 + (10 x 0.0625) = ???

Drum roll please...

Plot twist: You can do it yourself. 

:P
3 0
3 years ago
write an equation of the perpendicular bisector of the line segment whose endpoints are (-1,1) and (7,-5)
gladu [14]
Find midpoint of segment.
(-1,1), (7,-5)
x= \frac{-1+7}{2}=3,y= \frac{1+(-5)}{2}=-2

Find slope of line which passes through (-1,1) and (7,-5).
m= \frac{-5-1}{7-(-1)}= \frac{-6}{8}=- \frac{3}{4}

The slope of perpendicular line is negative reciprocal value of m.
m_{\perp}=- \frac{1}{m} =- \frac{1}{- \frac{3}{4} } = \frac{4}{3}

Write quation of line which slope is \frac{4}{3} and passes throug the point (3,-2).
m=\frac{4}{3},x_1=3,y_1=-2
\\y-y_1=m(x-x_1)
\\
\\y-(-2)=\frac{4}{3}(x-3)
\\
\\y+2=\frac{4}{3}x-\frac{8}{3}
\\
\\3y+6=4x-8
\\4x-3y-14=0

3 0
3 years ago
Pleaseeeee help me!!!!! i’ll appreciate it so much!
Shtirlitz [24]

Answer:

Step-by-step explanation:

∠Y = ∠P, so AY = AP

Perimeter = AY + AP + 13 = 43

AY + AP = 30

∠Y = ∠P, so AY = AP

AP = 30/2 = 15

6 0
3 years ago
Read 2 more answers
Which of the following numbers is closest to 7?
Sphinxa [80]

Answer:

B. √50

Step-by-step explanation:

7^{2} is 49 so √49 is 7

So,

since the <u>closest number to 49 is 50</u>, that is the answer.

7 0
3 years ago
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