The expression 13.26d + 9.20c can be used to find the total cost of d pounds of almonds and c pounds of cashews. How much does it cost to buy \ pounds of almonds and \ pounds of cashews?

The expression shows the price of one pound of almonds and one pound of cashews.

The number that we are to multiply to find the total cost of almonds is the cost of 1 pound of almonds which is $13.26 and the same goes for cashews, $9.20.

Now assuming we are to find the cost of 5 pounds of Almonds and 4 pounds of cashews, the total cost would be:

= (13.26 * 5) + (9.20 * 4)

= 66.3 + 36.8

= $103.10

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4