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Dmitry_Shevchenko [17]

3 years ago

12

Which of the fractional factors will result in a product that increases when multiplied by the fraction in the image?

1 answer:

Delicious77 [7]3 years ago

8 0

the fraction in the image is 2 1/2

let's try each choice

1) 2/3 x 5/2 = 10/6 = 5/3

2) 5/4 x 5/2 = 25/8

3) 3/3 x 2 1/2 = 2 1/2

4) 4/5 x 5/2 = 20/10 = 2

who is giving you these questions?

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Solution to this system of linear equation <br> -6x=48-6y<br> -4x=50-6y

MrRa [10]

Answer:

$\large\boxed{x=1,\ y=6\to(1,\ 6)}$

Step-by-step explanation:

$\left\{\begin{array}{ccc}-6x=48-6y&\text{change the signs}\\-4x=50-6y\end{array}\right\\\underline{+\left\{\begin{array}{ccc}6x=-48+6y\\-4x=50-6y\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad2x=2\qquad\text{divide both sides by 2}\\.\qquad x=1\\\\\text{Put it ot the first equation:}\\-6(1)=48-6y\\-6=48-6y\qquad\text{subtract 48 from both sides}\\-54=-6y\qquad\text{divide both sides by (-6)}\\9=y\to y=6$

7 0

4 years ago

Fred went to his local zoo that featured 6 whale exhibits. If the zoo features 15 exhibits in total, then what percent of the zo

lorasvet [3.4K]

Answer:40%

Step-by-step explanation:

Given

The zoo featured 6 whales exhibits

There are 15 exhibits in total

Percentage of Zoo's exhibits featuring whales

$\Rightarrow \dfrac{6}{15}\times 100=40\%$

7 0

3 years ago

The hypotenuse of an isosceles right triangle is centimeters longer than either of its legs. Find the exact length of each side.

Varvara68 [4.7K]

Question

The hypotenuse of an isosceles right triangle is 11 centimeters longer than either of its legs. find the exact length of each side.

Answer:

$Hypotenuse:37.56$

$Other\ Legs: 26.56$

Step-by-step explanation:

Let the hypotenuse be y and the other legs be x.

So:

$y = 11 + x$

Required

Determine the exact dimension of the triangle

Using Pythagoras theorem;

$y^2 = x^2 + x^2$

$y^2 = 2x^2$

This gives:

$(11+x)^2 = 2x^2$

Open bracket

$121 + 22x + x^2= 2x^2$

Collect like terms

$2x^2 - x^2 -22x - 121 = 0$

$x^2 -22x - 121 = 0$

Using quadratic formula:

$x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}$

$x = \frac{-(-22)\±\sqrt{(-22)^2 - 4*1*-121}}{2*1}$

$x = \frac{-(-22)\±\sqrt{968}}{2*1}$

$x = \frac{22\±31.11}{2}$

Split

$x = \frac{22+31.11}{2}\ or\ x = \frac{22-31.11}{2}\\$

$x = \frac{53.11}{2}\ or\ x = \frac{-9.11}{2}$

x can not be negative.

So:

$x = \frac{53.11}{2}$

$x = 26.56$

Recall that:

$y = 11 + x$

$y = 11 + 26.56$

$y = 37.56$

Hence, the dimensions are:

$Hypotenuse:37.56$

$Other\ Legs: 26.56$

6 0

3 years ago

What are the coordinates of the y-intercept of the function y=|6x-5|-4

Ket [755]

Answer: (0,1)

Step-by-step explanation:

Hope this helps

8 0

4 years ago

I used elimination to solve this system of equations and found out that y = 1. What does x equal?

stepan [7]

5x + 4y = 24
Substitute y for 1
5x + 4 = 24
5x =20
x = 4

5 0

3 years ago