Carrots sell for $2.10 per pound, and crackers sell for $2.90 per pound. Glen bought some carrots and some crackers. The total weight was 2.3 pounds and cost $6.03.How many pounds of carrots and how many pounds of crackers did Glen buy? A.0.5 pounds of carrots; 1.8 pounds of crackers B.0.8 pounds of carrots; 1.5 pounds of crackers C.1 pound of carrots; 1.3 pounds of crackers D.1.5 pounds of carrots; 0.8 pound of crackers

Answers

Answer 1

Answer: You can solve this problem by adding/subtracting expressions.

You have two expressions here: x + y = 2.3 and 2.1x + 2.9y = 6.03

The goal is to get rid of one of the variables because when there are two variables it's pretty impossible to figure them out when you don't know either. To do this you need to add or subtract the expressions. To do that you need to make one of the variables the same in both expressions.

Let's make the x's the same. So in one problem you have x and in the other you have 2.1x. You want to multiply the x by 2.1 so they are both 2.1 x. To do that you have to multiply the whole expression by 2.1 which would be 2.1(x + y) = 2.3(2.1) which equals 2.1x + 2.1y = 4.83.

Now you have two expression 2.1x + 2.1y = 4.83 and 2.1x + 2.9y = 6.03. Change the first one to all negatives to subtract it. 2.1x + 2.1y = 4.83 becomes -2.1x - 2.1y = -4.83. Now you can subtract the expression like this.

2.1x + 2.9y = 6.03
-2.1x - 2.1y = -4.3
________________
0x + 0.8y = 1.2 or 0.8y = 1.2 (Hooray the x is gone!)

Now you just finish solving it.

0.8y = 1.2
y = 1.2/0.8
y = 1.5

y represented the crackers so whatever answer has 1.5 crackers is the correct one

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XZ=15 and the perimeter of XWZ is 50. what is the length of WZ?

Answers

Assuming that this is an Isosceles Triangle which has 2 sides equal, then we can assume as well that XZ being the base of 15 and the total perimeter is XWZ = 50.

Perimeter = X + W + Z

Therefore;

XWZ (50) – XZ (15) = 35

Since we are assuming that this is an Isosceles triangle then 2 sides should have equal distance.

35 / 2 = 17.5

Hence, XW = 17.5 and ZW = 17.5

Perimeter = 15 + 17.5 + 17.5 = 50

St=18 and s = -4 where could T be located ?

Answers

Answer:

14 or -22

Step-by-step explanation:

st=18

s=-4

-4+18=14

so t can be at 14

or -4-18=-22

t can be at -22

What is the 41st term -13,-17,-21,-25...

Answers

adds -4 each time
first term is -13
an=a1+(n-1)d
d=common difference
a1=first term
an=-13+(n-1)(-4)
an=-13-4(n-1)

41 term
a41=-13-4(41-1)
a41=-13-4(40)
a41=-13-160
a41=-173

-173

When solving: 1,175 ÷ 5, using partial quotients, how would you decide which power of 10, when multiplied by 5, should be subtracted first?plz help! That would be so great if you did! :)

Answers

It equals 235. Using the quotient 10x 5 would make it 9,765,625 so I would subtract it first

3. Polygon ABCDE is congruent to polygon TVSRK. EAB corresponds to _____.

Answers

Answer: The answer is (A) ∠T.

Step-by-step explanation: Given that the polygon ABCDE is congruent to the polygon TVSRK. We are to find the corresponding angle of ∠EAB.

In the two polygons, the corresponding vertices are

A ⇒ T

B ⇒ V

C ⇒ S

D ⇒ R

E ⇒ K.

Therefore, ∠EAB, which is ∠A will correspond to ∠T.

Thus, the correct option is (A) ∠T.

The answer is T

A is in the same place as T

On Monday, Maria leaves her house for work and heads 20° east of north for 11 miles. On Tuesday, Maria visits her friend before work. Maria's friend's house is 6 miles away from hers at 10° south of west. How far does Maria's friend live from her work? Round the answer to the nearest tenth. A. 9.2 miles B. 10.6 miles C. 12.5 miles D. 14.9 miles

Answers

The answer to this question is 14.9 miles.

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