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SIZIF [17.4K]
3 years ago
8

What is the solution to the equation 2/5x=7/10?

Mathematics
1 answer:
yanalaym [24]3 years ago
8 0

Answer:

x = 7/4   or   1.75   or   1 3/4

MARK ME BRAINLIEST PLEASE

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Bella needs to read three chapters of her book. If she reads 3/5 of a chapter each night, how many nights will it take her to re
konstantin123 [22]

It will take her 5 nights to read three chapters.


Take \frac{3}{5} and add up until you get to 3.

1st night: 3/5

2nd night: 1 1/5

3rd night: 1 4/5

4th night: 2 2/5

5th night: 3.

5 0
4 years ago
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It costs $430 to rent the cottage for the weekend.Last year it cost $400.What percentage increase is this?
NeX [460]
It increased by 7.5% if you subtract the starting value from the new one and then put that answer over the starting value.
3 0
3 years ago
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6. Write an equation of a line that is Parallel to the line: y = 3x -3
jeka94

Answer:

3x - y -6 = 0

Step-by-step explanation:

We need to find the Equation of the line parallel to the given equation of line . The given equation of the line is ,

\rm\implies y = 3x - 3

<u>Slope </u><u>Intercept</u><u> Form</u><u> </u><u>:</u><u>-</u><u> </u>

\rm\implies y = mx + c

where ,

  • m is slope
  • c is y intercept .

Therefore , the Slope of the line is 3 . Let the parallel line passes through ( 3,3) . We know that the parallel lines have same slope . Therefore the slope of the parallel line will also be 3 .

<u>Using</u><u> point</u><u> slope</u><u> form</u><u> </u><u>:</u><u>-</u><u> </u>

\rm\implies y - y_1 = m ( x - x_1)  \\\\\rm\implies y - 3 = 3( x - 3 ) \\\\\rm\implies y -3 = 3x -9 \\\\\rm\implies 3x -y -9+3=0\\\\\rm\implies \boxed{\rm\red{ 3x -y -6=0}}

3 0
3 years ago
If a = {6 6 4 7 -4 4 -6 9 -3} and B= {1 5 -8 9 -5 -8 9 -5 2}, find 3a +9B Matrix operations
V125BC [204]

Answer:

3A+9B=\begin{bmatrix} 27 & 63 & -60 \\\\ 102 & -57 & -60\\\\ 63 & -18 & 9 \end{bmatrix}

Step-by-step explanation

  • A=\begin{bmatrix} 6 & 6 & 4\\\\7 & -4 & 4\\\\ -6 & 9 & -3\end{bmatrix}\: and \: B=\begin{bmatrix}1 & 5 & -8\\\\ 9 & -5 & -8\\\\ 9 & -5 & 2\end{bmatrix}

  • \rightarrow 3A=3\begin{bmatrix} 6 & 6 & 4\\\\7 & -4 & 4\\\\ -6 & 9 & -3\end{bmatrix},\:  \: 9B =9\begin{bmatrix}1 & 5 & -8\\\\ 9 & -5 & -8\\\\ 9 & -5 & 2\end{bmatrix}

  • \rightarrow 3A=\begin{bmatrix} 3*6 & 3*6 & 3*4\\\\3*7 & 3(-4) & 3*4\\\\ 3(-6) & 3*9 & 3(-3)\end{bmatrix},\:\: 9B =\begin{bmatrix}9*1 &9* 5 &9( -8)\\\\ 9*9 & 9(-5) & 9(-8)\\\\ 9*9 & 9(-5) & 9*2\end{bmatrix}

  • \rightarrow 3A=\begin{bmatrix} 18 & 18 & 12 \\\\ 21 & -12 & 12\\\\ -18 & 27 & -9\end{bmatrix},\:\: 9B =\begin{bmatrix} 9 & 45 & -72 \\\\ 81 & -45 & -72\\\\ 81 & -45 & 18\end{bmatrix}

  • \rightarrow 3A+9B=\begin{bmatrix}18+9 & 18+45 & 12+(-72) \\\\ 21+81 & -12 +(-45) & 12+(-72)\\\\ -18+81 & 27+(-45) & -9+18 \end{bmatrix}

  • \rightarrow 3A+9B=\begin{bmatrix} 18+9 & 18+45 & 12-72 \\\\ 21+81 & -12 -45 & 12-72\\\\ -18+81 & 27-45 & -9+18 \end{bmatrix}

  • \rightarrow \purple{\bold{3A+9B=\begin{bmatrix} 27 & 63 & -60 \\\\ 102 & -57 & -60\\\\ 63 & -18 & 9 \end{bmatrix}}}
6 0
3 years ago
I need help, help me plz !!!!! Match the verbal expression (term) with its algebraic expression (definition). Match Term Definit
Talja [164]

Answer:

Four less than an unknown value E) y-4

Quotient of a variable and four B) \frac{z}{4}

Some number to the power of four A) a^4

Four times an unknown value D) 4x

Four more than some number C) b+4

Step-by-step explanation:

Let's analyze each statement separately:

- Four less than an unknown value --> this means that we have to subtract 4 to an unknown value. Calling y the unknown value, it means we have to write

y-4

- Quotient of a variable and four --> this means we have to divide a variable by 4. Calling z the unknown variabl, it means we have to write

\frac{z}{4}

- Some number to the power of four --> this means that we have to write the power of a number, in the form a^m, where m in this case is equal to 4. Calling a the unknown number, it means we have to write

a^4

- Four times an unknown value --> this means that we have to multiply an unknown value by 4. Calling x our unknown values, we have to write

4x

- Four more than some number --> this means we have to add 4 to an unknown number. Calling b the unknown number, it means we have to write

b+4

7 0
3 years ago
Read 2 more answers
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