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3 years ago

The length of a rectangle is 5 less than twice its width. The perimeter is 26 meters. Find the dimensions of the rectangle.

Mathematics

1 answer:

Natalija [7]3 years ago

7 0

Answer:

Width is 6 meters and length is 7 meters.

Step-by-step explanation:

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Sheree pours 2 L of water equally into 10cups Each cup can hold 400 mL there is no water left in the bottle how much water is in

mina [271]

2L = 2000mL

2000mL / 400mL = 5
therefore, each cup is filled exactly half way

There is 200mL in each of the 10 cups.

7 0

3 years ago

Marco is 8 years younger than his brother Paolo. If their product of their ages is 105, how old is Marco? plz help

Nina [5.8K]

Answer:

Marco's age is 7 years old

Step-by-step explanation:

Let

x ----> Marco's age

y ----> Paolo's age

we know that

$x=y-8$ ----> $y=x+8$ ----> equation A

$xy=105$ ----> equation B

substitute equation A in equation B

$x(x+8)=105$

$x^2+8x-105=0$

Solve the quadratic equation

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^2+8x-105=0$

$a=1\\b=8\\c=-105$

substitute in the formula

$x=\frac{-8(+/-)\sqrt{8^{2}-4(1)(-105)}} {2(1)}$

$x=\frac{-8(+/-)\sqrt{484}} {2}$

$x=\frac{-8(+/-)22} {2}$

$x=\frac{-8(+)22} {2}=7$

$x=\frac{-8(-)22} {2}=-15$

Remember that the solution cannot be a negative number

The solution is x=7

therefore

Marco's age is 7 years old

4 0

3 years ago

An algebraic expression for 2 times a number plus 5

natali 33 [55]

Answer:

2x+5

Step-by-step explanation:

X represents the number in "2 times a number." You could insert any number into x.

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3 years ago

Patty walked 2/5 of a mile in 5 1/2 minutes. At this rate, how long will it take Patty to walk 3 miles?

lapo4ka [179]

Answer:

41.25 minutes i think sorry if its wrong

4 0

3 years ago

Which matrix equation represents the system of equations?<br><br> {-x+ 2y = 0 <br> y= -2

Snowcat [4.5K]

We are given a system of equations,

$\begin{cases}-x+2y=0\\y=-2\\ \end{cases}$

This will translate into a 2x2 matrix of coefficients (because 2 equations and 2 unknowns),

$\begin{bmatrix}-1&2\\0&1\\ \end{bmatrix}$

The matrix will then be applied to the vector (lower dimensions on top),

$\begin{bmatrix}x\\y\\ \end{bmatrix}$

And the result vector will be whats on the other side of equals sign,

$\begin{bmatrix}0\\-2\\ \end{bmatrix}$

So to put everything together,

$\begin{bmatrix}-1&2\\0&1\\ \end{bmatrix}\begin{bmatrix}x\\y\\ \end{bmatrix}=\begin{bmatrix}0\\-2\\ \end{bmatrix}$

Hope this helps :)

6 0

3 years ago

The length of a rectangle is 5 less than twice its width. The perimeter is 26 meters. Find the dimensions of the rectangle.​

The length of a rectangle is 5 less than twice its width. The perimeter is 26 meters. Find the dimensions of the rectangle.