You have 35 feet of yarn how many yards is that

Mathematics

1 answer:

MaRussiya [10]3 years ago

8 0

1 yard = 3 feet

35 feet/3 feet = 11 2/3 yards

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Set up an equation that can be used to solve the problem. Solve the equation and determine the desired value.

Nataly [62]

Answer: $454.55

Step-by-step explanation:

Tito's weekly salary is always $ 500 per week.

But your weekly commission income depends on the sales you make. Your commissions are 55%.

If we call x the dollar amount of all sales made by Tito in a week, then his income z(x) is given by the following equation:

$z (x) = 0.55x + 500$

We wish that $z (x) = 750$ .

Then we equate the equation to 750 and solve for the variable x.

$0.55x + 500 = 750\\\\0.55x + 500-500 = 750-500\\\\0.55x = 250$

$\frac{0.55}{0.55}x = \frac{250}{0.55}$

$x = \$\ 454.55$

Total sales made by Tito must be $454.55

7 0

3 years ago

For each order pair (x,y) , determine whether it is a solution to the inequality 4x-6y_< - 18

anyanavicka [17]

Solution:

Given:

$4x-6y\leq-18$

To determine if an ordered pair is a solution, we substitute the x and y-values into the inequality and check if it is true.

Thus,

$\begin{gathered} For\text{ the point }(-9,-2) \\ x=-9,y=-2 \\ 4x-6y\leq-18 \\ 4(-9)-6(-2)=-36+12=-24 \\ Since\text{ }-24$

$\begin{gathered} For\text{ the point }(0,3) \\ x=0,y=3 \\ 4x-6y\leq-18 \\ 4(0)-6(3)=0-18=-18 \\ Since\text{ }-18=-18,\text{ then }(0,3)\text{ is a solution} \end{gathered}$

$\begin{gathered} For\text{ the point }(5,-3) \\ x=5,y=-3 \\ 4x-6y\leq-18 \\ 4(5)-6(-3)=20+18=38 \\ Since\text{ }38>-18,\text{ then }(5,-3)\text{ is not a solution} \end{gathered}$

$\begin{gathered} For\text{ the point }(8,5) \\ x=8,y=5 \\ 4x-6y\leq-18 \\ 4(8)-6(5)=32-30=2 \\ Since\text{ }2>-18,\text{ then }(8,5)\text{ is not a solution} \end{gathered}$

Therefore, the correct answers are selected as shown below;