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Korvikt [17]
4 years ago
5

making 10 pounds of Apple Jam requires five pounds of Apple how many pounds of Apple are needed to make eight pounds of apple ja

m
Mathematics
1 answer:
allochka39001 [22]4 years ago
5 0
10lb. of jam needs 5lb. apple, or 2lb. of jam needs 1lb. apple. 
Now we want 8lb. of jam.
Set up a proportion:
2/1=8/x 
Solve for x by cross-multiplying.
2x=8 
x=4 lb. of apple

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Solve the simultaneous equations
Contact [7]

Answer:

The solution for given system of equations is: x = 6 and y = 3

Or

(6,3)

Step-by-step explanation:

Given equations are:

3x+4y=30\ \ \ Eqn\ 1\\3x-y=15\ \ \ \ Eqn\ 2

There are three methods to solve simultaneous equations

  1. Elimination
  2. Substitution
  3. Co-efficient method

We will use the elimination method as the coefficients of x in both equations are already same

Subtracting equation 2 from equation 1

3x+4y - (3x-y) = 30-15\\3x+4y-3x+y = 15\\5y = 15\\\frac{5y}{5} = \frac{15}{5}\\y = 3

Putting y = 3 in equation 2

3x-3 = 15\\3x = 15+3\\3x = 18\\\frac{3x}{3} = \frac{18}{3}\\x =  6

Hence,

The solution for given system of equations is: x = 6 and y = 3

Or

(6,3)

7 0
3 years ago
Which of the following points could be the initial point of vector v if it has a magnitude of 10 and the terminal point (-2,4)?
podryga [215]
Use the distance formula;
10=√(-2-x)²+(4-y)²
Now put the options one by one into the above equation;
you find that option b satisfies the equation which is the correct answer.
4 0
4 years ago
Read 2 more answers
What is the slope of a line perpendicular to the line whose equations is x-y=6
belka [17]

Answer:

m = -1

Step-by-step explanation:

First write the line in slope intercept form y = mx+b where m is the slope and b is the y intercept

x-y = 6

subtract x from each side

-y = -x+6

Multiply each side by -1

y = x-6

The slope is 1

Perpendicular lines have slopes that multiply to -1

m * 1 = -1

m = -1

The slope of the perpendicular line is -1

6 0
3 years ago
A digital camera costs $230. The camera is on sale for 30% off, and you have a coupon for an additional 15%off the sale price. W
Karo-lina-s [1.5K]
Do 230 - 30% and the do - 15% use math papa it's very helpful
7 0
3 years ago
A cardboard box of 32 in^3 volume with a square base and open top is to be constructed. What is the length of base that will min
stiv31 [10]
Volume = are base*height
32 = x^2*h --> h = 32/x^2

surface area =  4x(32/x^2) + x^2 
SA = 128/x + x^2

SA' = -128/x^2 + 2x = 0
2x = 128/x^2
2x^3 = 128
x^3 = 64
x = 4

surface area minimized when length of base is 4 in.

hope this help
6 0
3 years ago
Read 2 more answers
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