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vichka [17]
2 years ago
13

Nuts.com sells raw almonds for $10 per pound and roasted pistachios for $12 per pound. Christopher spends $70, before taxes and

shipping, to purchase 6.3 total pounds of nuts. Let a represent the number of pounds of almonds and let p represent the number of pounds of pistachios. Which system of equations represents the situation?
Question 1 options:


{10a+p=70
a+70p=6.3



{10a+12p=70
a+p=6.3



{10a+12p=6.3
a+p=70



{10a+12p=70
10a+12p=6.3
Mathematics
1 answer:
galben [10]2 years ago
3 0

Answer:

second equation

Step-by-step explanation:

10a + 12p = 70  (10 goes with almonds [a], 12 goes with pistachios[p], $10 and $12 is price per pound and $70 is total price, so that's why its = to 70)

a + p = 6.3        (this is total almonds and pistachios adding up to 6.3 pounds)

a = pounds of almonds

p = pounds of pistachios

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Answer:

6.1555

Step-by-step explanation:

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7 0
2 years ago
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How many rectangular prisms 8 inches long, 5 inches wide, and 2 inches high can fit into another rectangular prism that measures
tangare [24]

Answer:

20

Step-by-step explanation:

Volume of rectangular prism = length × width × height

Length = 8 inches

Width = 5 inches

Height = 2 inches

Volume of rectanglular prism = length × width × height

= 8 inches * 5 inches * 2 inches

= 80 inches ³

Dimensions of another rectangular prism:

Length = 16 inches

Width = 10 inches

Height = 10 inches

Volume of rectangular prism B = length × width × height

= 16 inches * 10 inches * 10 inches

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Number of prism A that fits into prism B = Volume of prism B ÷ volume of prism A

= 1,600 inches ³ ÷ 80 inches ³

= 20

Number of prism A that fits into prism B = 20

8 0
2 years ago
Find the equation of the straight line passing through the point (3,5) which is perpendicular to the line y=3x+2
ohaa [14]

Answer:

y=-1/3x+6 .Hope this helps

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3 years ago
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The figure below shows a straight line AB intersected by another straight line t:
BaLLatris [955]

When two straight lines intersect, the pairs of nonadjacent angles in opposite posi-tions are known as vertical angles.

If a segment AB is intersected by a transversal labeled t, then ∠1 and ∠3 and ∠2 and ∠4 are vertically angles formed by the transversal t on the segment AB.

Angles ∠1 and ∠2 can be described as adjacent and supplementary angles, so

m\angle 1+m\angle 2=180^{\circ}.

Angles ∠3 and ∠2 can be also described as adjacent and supplementary angles, so

m\angle 3+m\angle 2=180^{\circ}.

Subtract from the first equation the second equation:

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4 0
3 years ago
Use the identity (x+y)(x2−xy+y2)=x3+y3 to find the sum of two numbers if the product of the numbers is 28, the sum of the square
fgiga [73]

Answer:

Step-by-step explanation:

1) f(x) = x+y , xy = 49 --> f(x) = x+49/x

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y = 49/x = 7

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smaller = 5000 ft and larger = 7500 ft

this took me ages to work out so hopefully it helped

4 0
2 years ago
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