Graph the inequality.<br> 1

A store is having a sale on jelly beans and trail mix. For 8 pounds of jelly beans and 3 pounds of trail mix, the total is $18.

topjm [15]

Answer: each pound of jelly beans costs 1.5 dollars, or $1.50, and each pound of trail mix costs 2 dollars, or $2

Step-by-step explanation:

j = jellybeans

t = trail mix

2j + 5t = 13

8j + 3t = 18

To solve this, we want to isolate a variable, and solve for the other. Let's do that with each equation.

2j + 5t = 13

2j = 13 - 5t

j = (13 - 5t) / 2

8j + 3t = 18

8j = 18 - 3t

j = (18 - 3t) / 8

Now that we have isolated the variable j in each equation, we can set the two right-sides equal to each other, and solve for t.

(13 - 5t) / 2 = (18 - 3t) / 8

By multiplying both sides by 8, this becomes simpler to look at.

8 * (13 - 5t) / 2 = 18 - 3t

4 * (13 - 5t) = 18 - 3t

4 * 13 - 4 * 5t = 18 - 3t

52 - 20t = 18 - 3t

52 = 18 + 17t

34 = 17t

34 / 17 = t

t = 2

Now that we have solved for t, we can trivially plug it into one of the other equations to solve for j. Let's choose the first equation, as it doesn't matter which we choose.

t = 2

2j + 5t = 13

2j + 5 * 2 = 13

2j + 10 = 13

2j = 13 - 10

2j = 3

j = 1.5

So, each pound of jelly beans costs 1.5 dollars, or $1.50, and each pound of trail mix costs 2 dollars, or $2.

6 0

2 years ago

Graph the relation. Is the relation a function? Why or why not? {(–5, 6), (–2, 3), (3, 2), (6, 4)} No; a domain value has two ra

RoseWind [281]

Answer:

Yes; there is only one range value for each domain value

Step-by-step explanation:

A relation can be defined as a function f(x) if for each value of the domain of x, there exists a unique value of f(x).

For example

(2, 4)(3, 9)(-2, 4)(4, 16) Is a Function

(2, 4)(2,6)(3, 8)(3, -8) Is Not a Function

To analyze if the relationship shown is a function, you must observe that each value of the domain has a single value of the range assigned.

For the given points {(-5, 6), (-2, 3), (3, 2), (6, 4)} this requirement is satisfied. Therefore, the relationship is a function. The graph is shown in the attached image.

The correct option is: Yes; there is only one range value for each domain value

4 0

3 years ago

Read 2 more answers

Sorry Guys, Angle 12 & 10 are effectively corresponding angles, but angle 10 & 7 are alternate interior angles. Anyways,

Irina-Kira [14]

Answer:

d

Step-by-step explanation:Angle 12 & 10 are effectively corresponding angles, but angle 10 & 7 are alternate interior angles. Anyways, Angle 12 & 10 are congruent and 10 & 7 are congruent. At the end, the three angles 12, 10, and 7 have the same measure. If we put it otherwise, the line B is intersecting line D which form right angles equals to 90 degrees, so angle 12 = 90, and the same happens with angle 10 and 7, so the three angles are congruent, but at the same time, angle 7 is supplementary with angle 12 because their sum is equal to 180, (90 + 90 = 180). If you think from different angles is hard to choose the right answer, so what I guess is that we don't need to take into account the angle 10, just the fact that line A intersect line C, and Line B intersect line D forming right angles, and that angle 7 and 12 are right angles which sum equals 180, therefore, we could say that they are supplementary angles, but also congruent because they measure the same, so at the end,

7 0

3 years ago

Please I need the answers if it is for today please if you can in edited photography, it is before 9 o'clock At that time I have

LenaWriter [7]

Answer:

mkhhikbyjhggfikmnikkfyujikok

4 0

3 years ago

Find the values of angles x, y, z.

My name is Ann [436]

X=80, y=140,z=20
I hope it helps

7 0