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Alex777 [14]
3 years ago
13

A store is having a sale on walnuts and chocolate chips. For 3 pounds of walnuts and 5 pounds of chocolate chips, the total cost

is $20. For 6 pounds of walnuts and 2 pounds of chocolate chips, the total cost is 14$. Find the cost for each pound of walnuts and each pound of chocolate chips.​
Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
5 0

Answer:Walnuts cost $1.25 and chocolate chips cost $3.25

Step-by-step explanation: Make walnuts x and chocolate chips y.

3x+5y=20

6x+2y=14

Multiply the first equation by 2 and then subtract it from the second.

-(6x+10y=40)

6x+2y=14

-8y=-26

y=3.25

Plug y back into either equation and isolate x to solve for x.

6x+2(3.25)=14

6x+6.5=14

6x=7.5

x=1.25

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WINSTONCH [101]

Answer:

$52.11

Step-by-step explanation:

6.35% = 0.0635

49+0.0635 = 52.115

8 0
3 years ago
the area of a right triangle is 77 m^2. the hypotenuse has a length of √317 m. what is the length of the legs?​
Alexxandr [17]

Answer:

11 m and 14 m

Step-by-step explanation:

Legs: x and y

---

1/2xy= 77  ⇒ xy= 154

√x²+y²= √317 ⇒ x²+y²=317

x²+y²+2xy= (x+y)²= 2*154+317= 625 ⇒ x+y= √625= 25

x= 25-y

xy=154 ⇒  y(25-y)= 154 ⇒ 25y- y²=154 ⇒ y²- 25y +154=0 ⇒ y=11 and y=14

x= 25-y= 14 and 11

4 0
4 years ago
Jason's insurance company pays 80% of the cost of an ambulance ride, after he pays a $200 deductible. The ambulance ride costs $
Y_Kistochka [10]
Jason's insurance pays 80% of the cost after he pays a $200 deductible. The deductible is Jason's responsibility. The insurance does not pay this and calculates the 80% AFTER it is subtracted from the total cost.

That's 1200 - 200 = 1000.

The insurance pays 80% of 1000. Percent means "out of 100" (per means "for every" and "cent" means 100 --> think CENTury...100 years). So 80% means 80 out of 100. That is, \frac{80}{100}. To find 80% of 1000 we multiply: (\frac{80}{100})( 1000) =  \frac{80000}{100}=800


If decimals are more your thing then represent 80% as .80 and multiply (1000)(.80) = 800.

Now, that's what the insurance pays. So out of that $1,000 the insurance pays $800 leaving Jason with a bill of $200 plus the deductible (another $200). That means Jason pays $400.
6 0
3 years ago
Read 2 more answers
calculate the distance between the two points shown on the graph below give your answer correct to 2 decimal places if necessary
GenaCL600 [577]

Answer:

Find the distance between (-1, 1) and (3, 4).

This problem is solved simply by plugging our x- and y-values into the distance formula:

D=(3−(−1))2+(4−1)2−−−−−−−−−−−−−−−−−−√=

=16+9−−−−−√=25−−√=5

Sometimes you need to find the point that is exactly between two other points. This middle point is called the "midpoint". By definition, a midpoint of a line segment is the point on that line segment that divides the segment in two congruent segments.

If the end points of a line segment is (x1, y1) and (x2, y2) then the midpoint of the line segment has the coordinates:

(x1+x22,y1+y22)

4 0
3 years ago
Can someone please help me with this. please & thank you !
Kryger [21]
From the first picture, the triangle can be redrawn. It is an isosceles triangle.
The base angles of an isosceles triangle are angle. Hence, angle A = angle C = 56°.

Note that: angle À + angle B + angle C = 180° (sum of angles in a triangle)
56 + B + 56 = 180°
B + 112° = 180°
B = 180° - 112°
B = 68°

4 0
4 years ago
Read 2 more answers
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