Astore allows costumers to fill their own bags of candy, terri decides she only wants jelly beans and chocolate drops, jelly beans sell for $0.98 per pound, and chocolate drops sell for $0.67 per pound, terri's bag weighs 2.1 pounds and its costs $1.56. how many pounds of jelly beans and chocolate drops did terri buy?

Use a system of equations!

We know that:

$1.56 = 0.98j + 0.67c

(j represents how many pounds of jelly beans, and c represents how many pounds of chocolate drops)

We also know that:

2.1 = c + j

(Because the amount of jelly beans and chocolate chips together should be 2.1 pounds)

So, we can rearrange the second equation to get:

c = 2.1 - j

then plug that into the original equation we made:

1.56 = 0.98j + 0.67(2.1 - j)

Then use our algebra skills to solve for j, giving us:

j = 153/310 = about 0.494

now plug j into the "c = 2.1 - j" equation and solve for c algebraically:

c = 249/155 = about 1.606

So, that means it costs about $0.49 for one pound of jelly beans, and about $1.61 for one pound of chocolate drops.

We can check that it's correct by plugging our values of c and j into our first equation:

1.56 = 0.98j + 0.67c
1.56 ~ 0.98(0.49) + 0.67(1.61)
1.56 ~ 0.4802 + 1.0787
1.56 ~ 1.5589

No a triangle cannot be formed because when you add the two smallest number together (which would be 11) the have to be bigger than the number it is "against" ( which would be 12)

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.