Sam had 11/2 m of rope. he cut off 5/8 m and used it for a project. how much rope does sam have left?

The ratio of Dina’s bathing suits to Yana’s bathing suits was 4:1. if Dina has 24 more bathing suits than Yana, how many bathing

lina2011 [118]

Answer: Yana has 8 bathing suits.

Step-by-step explanation: Given that the ratio of Dina’s bathing suits to Yana’s bathing suits was 4 : 1 and Dina has 24 more bathing suits than Yana.

We are to find the number of bathing suits that Yana has.

Let 4x and x represents the number of bathing suits that Dina and Yana have respectively.

Then, according to the given information, we have

$4x-x=24\\\\\Rightarrow 3x=24\\\\\Rightarrow x=\dfrac{24}{3}\\\\\Rightarrow x=8.$

Therefore, the number of bathing suits that Yana has is given by

$x=8.$

Thus, Yana has 8 bathing suits.

5 0

3 years ago

PLEASE HELP ASAP BRAINLIEST

Y_Kistochka [10]

Area is Length x width.

Area = 4x * 5

Area = 20x

Replace A in the inequality:

Now you have 100 <= 20x <= 1,000

Now solve for x by dividing all 3 by 20:

5 <= x <=50

Check to see if they are viable:

4(5) x 5 = 20 x 5 = 100

4(50) x 5 = 200 x 5 = 1,000

Since the lowest number equals 100 and the largest number equals 1,000 all values of x would be viable. The answer is YES.

6 0

3 years ago

Determine which number is a solution of the inequality. j+8 ≤ 8; 0, 1, 2

Troyanec [42]

Answer:

The solution to the inequality is 0.

7 0

2 years ago

Write a quadratic equation with the given roots. Write the equation in the form of ax^2+bx+c=0 where a b and c are integers

Bas_tet [7]

You haven't provided the required roots, but I can tell you how to do this kind of exercises in general.

If the $x^2$ coefficient is 1, i.e. the equation is written like $x^2+bx+c=0$ , then you can say the following about the coefficients b and c:

$b$ is the opposite of the sum of the roots
$c$ is the multiplication of the roots.

So, for example, if we want an equation whose roots are 4 and -2, we have:

$4+(-2) = 4-2 = 2 \implies b = -2$
$4 \cdot (-2) = -8 \implies c = -8$

So, the equation is $x^2-2x-8=0$

If your roots are rational, you can work like this: suppose you want an equation with roots 3/4 and 1/2. You have:

$\dfrac{3}{4}+\dfrac{1}{2} = \dfrac{3}{4}+\dfrac{2}{4} = \dfrac{5}{4} \implies b = -\dfrac{5}{4}$
$\dfrac{3}{4} \cdot \dfrac{1}{2} = \dfrac{3}{8} \implies c = \dfrac{3}{8}$