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dezoksy [38]
2 years ago
15

A grocer wants to mix nuts costing 5.00 per kilogram with nuts costing 8.00 per kilogram to make a 10 kilogram mixture for 6.00

a kilogram. How much of each type should he mix.
Mathematics
2 answers:
vladimir1956 [14]2 years ago
8 0

Step-by-step explanation:

let E be weight of expensive nuts, C be cheaper nuts

E*8+C*5=10*6 value equation

E+C=10 mass equation

Solve it by any method, I will do determinants

Det: 8-5=3

E= (60-50)/3=10/3 =3.33 lb

C= 80-60 /3=20/3 =6.66 lb

erma4kov [3.2K]2 years ago
5 0

Answer:

mix nuts 20/3

nuts 10/3=

Step-by-step explanation:

x+y=10

5x+8y=60

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ABCD rhombus, AC:BD = 4:3 Perimeter ABCD = 20 cm Find: Area of ABCD
AlladinOne [14]
Given that the perimeter of rhombus ABCD is 20 cm, the length of the sides will be:
length=20/4=5 cm
the ratio of the diagonals is 4:3, hence suppose the common factor on the diagonals is x such that:
AC=4x and BD=3x
using Pythagorean theorem, the length of one side of the rhombus will be:
c^2=a^2+b^2
substituting our values we get:
5²=(2x)²+(1.5x)²
25=4x²+2.25x²
25=6.25x²
x²=4
x=2
hence the length of the diagonals will be:
AC=4x=4×2=8 cm
BD=3x=3×2=6 cm
Hence the area of the rhombus wll be:
Area=1/2(AC×BD)
=1/2×8×6
=24 cm²
6 0
3 years ago
Four runners start at the same point; Lin, Elena, Diego, Andre. For each runner write a multiplication equation that describes t
Helen [10]

Answers:

Lin's finish point is at 205 meters

Elena's velocity is 8.92 meters per second

Diego's finish point is at -259.2 meters or 259 meters behind the start

Andre's velocity is -8.14 meters per second

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6 0
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3 years ago
Write the equation (in point-slope form) for the line parallel to y = x + 4 and passes
Tanya [424]

Answer:

y = x-7

Step-by-step explanation:

<u>Step 1:  Write the equation in point-slope form</u>

Point Slope Form:  y-y_{1}=m\left(x-x_{1}\right)

<u>Plug in the numbers and solve</u>

<u />y - (-2) = 1(x - 5)

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8 0
3 years ago
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faust18 [17]
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3 years ago
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