Convert the following standard form linear inequality into slope-intercept form:<br> 2x + 5y ≤ 10

Sheila is making accessories for the soccer team. She uses 559.24 inches of fabric on headbands for 28 players and 3 coaches. Sh

djyliett [7]

Answer:

27.72 inches of fabric

Step-by-step explanation:

28+3=31

<h3>Fabric used on each player:</h3>

559.24÷31=<u>18.04</u>

271.04÷28=<u>9.68</u>

18.04+9.68=<u>27.72</u>

8 0

2 years ago

PLEASE HELP DUE SOON! IM SO CONFUSED!!!

pochemuha

The first step that we need to take before attempting to solve a problem is to understand what the problem is asking us to do and what is given to us to help accomplish that goal. Looking at the problem statement they are asking for us to determine the value of the unknown variable h. We are given one angle along with two sides.

Now that we have completed that step, we can move onto understanding what needs to be done to solve for the unknown. We know that the best option is to use some trigonometry to help us determine the other side. Using Soh | Cah | Toa we are able to determine that we have the opposite side (h) and the hypotenuse (15.6 cm).

<u>Trigonometric functions</u>

$sin(\theta) = \frac{opposite}{hypotenuse}$

$cos(\theta) = \frac{adjacent}{hypotenuse}$

$tan(\theta) = \frac{opposite}{adjacent}$

<u>Plug in the values</u>

$sin(\theta) = \frac{opposite}{hypotenuse}$

$sin(36) = \frac{h}{15.6\ cm}$

We know have an expression which contains everything that we need to determine the value of the unknown. To help isolate h we need to multiply both sides by 15.6 cm which will isolate h. After that we need to simplify the expression so we can get the value of h.

<u>Multiply both sides by 15.6 cm</u>

$sin(36) * 15.6\ cm = \frac{h}{15.6\ cm} * 15.6\ cm$

$sin(36) * 15.6\ cm = h$

<u>Simplify the expression</u>

$0.5878 * 15.6\ cm = h$

$9.169 = h$

After simplifying the expression, we are able to eliminate options A and C because they state that h is equal to 8.4 cm. We also know that with the given dimensions we would be able to create two triangles. Therefore, the option that best incapsulates the correct answer would be option B - 9.2, two possible triangles.

8 0

2 years ago

Kate begins solving the equation StartFraction 2 Over 3 EndFraction left-parenthesis 6 x minus 3 right-parenthesis equals StartF

mixas84 [53]

Answer:

<h3>The best interpretation of this equation 4x=3x is that the equation has no solution</h3>

Step-by-step explanation:

Given that Kate begins solving the equation

$\frac{2}{3}(6x-3)=\frac{1}{2}(6x-4)$

<h3>To find the best interpretation of the given equation :</h3><h3>Katie's steps are</h3>

$\frac{2}{3}(6x-3)=\frac{1}{2}(6x-4)$
$\frac{2}{3}(3(2x-1))=\frac{1}{2}((2(3x-4))$
$2(2x-1)=1(3x-2)$
$2(2x)+2(-1)=1(3x)+1(-2)$
$4x-2=3x-2$

When she adds 2 to both sides, the equation becomes

4x-2+2=3x-2+2
4x=3x

Therefore $4\neq 3$

<h3>Therefore the given equation has no solution </h3><h3>The best interpretation of this equation 4x=3x is that the equation has no solution.</h3><h3>Therefore the option no solution is correct</h3>