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3 years ago

8

A restaurant chef bought potatoes at four different stores. The table shows the amount of the potatoes she bought at each store

and the price she paid. Store Price Pounds Bought $6.60 $3.50 $9.75 $4.80 8 Which store has the lowest price per pound for potatoes?

1 answer:

hichkok12 [17]3 years ago

3 0

Answer:

The way to answer this question is to find out the price per pound potato by dividing the amount the restaurant chief paid by the number of pounds bought.

Your question lacks details on the pounds bought in the other stores so I will assume these figures and you can use it as a reference.

Restaurant B - 2 pounds

Restaurant C - 12 pounds

Restaurant D - 5 pounds

Price per pound

Restaurant A = 6.60/8

= $0.83

Restaurant B = 3.50/2

= $1.75

Restaurant C = 9.75/12

= $0.82

Restaurant D = 4.80/8

= $0.96

<u><em>Restaurant C </em></u><em>has the lowest price per pound for potatoes. </em>

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A rectangular enclosure is to be created using 82m rope.

atroni [7]

Let
x-----> the length of rectangle
y-----> the width of rectangle

we know that
perimeter of rectangle=2*[x+y]
perimeter of rectangle=82 m
82=2*[x+y]---> divide by 2 both sides---> 41=x+y--> y=41-x---> equation 1

Area of rectangle=x*y
substitute equation 1 in the area formula
Area=x*[41-x]----> 41x-x²

using a graph tool
see the attached figure

the vertex is the point (20.5,420.25)
that means
for x=20.5 m ( length of rectangle)
the area is 420.25 m²

y=420.25/20.5----> 20.5 m

the dimensions are
20.5 m x 20.5 m------> is a square

the answer part 1)
<span>the dimensions of the rectangular with Maximum area is a square with length side 20.5 meters
</span>
Part 2)<span>b) Suppose 41 barriers each 2m long, are used instead. Can the same area be enclosed?
</span>divide the length side of the square by 2
so
20.5/2=10.25--------> 10 barriers
the dimensions are 10 barriers x 10 barriers
10 barriers=10*2---> 20 m

the area enclosed with barriers is =20*20----> 400 m²

400 m² < 420.25 m²
so

the answer Part 2) is
<span>the area enclosed by the barriers is less than the area enclosed by the rope
</span>
Part 3)<span>How much more area can be enclosed if the rope is used instead of the barriers
</span>
area using the rope=420.25 m²
area using the barriers=400 m²

420.25-400=20.25 m²

the answer part 3) is
20.25 m²

6 0

3 years ago

Given that $x \le -7,$ identify all the correct conclusions. (A) $3x \le -21.$ (B) $3x \ge -21.$ (C) $-3x \le 21.$ (D) $-3x \ge

exis [7]

Answer:

Options A and D are correct choices.

Step-by-step explanation:

We have been given an inequality $x\leq -7$ and we are asked to find the correct options from our given choices.

Let us solve inequalities in our given options one by one to see which of these matches with our given inequality.

(A) $3x\leq -21$

$x\leq \frac{-21}{3}$

$x\leq -7$

We can see that option A gives the same answer as our given inequality, therefore, option A is the correct choice.

(B) $3x\geq -21$

$x\geq \frac{-21}{3}$

$x\geq -7$

This inequality represented in option C gives solution that x should be greater than or equal to -7, which is opposite to our given inequality, therefore, option B is incorrect.

(C) $-3x\leq 21$

Dividing inequality by a negative number swaps inequality sign.

$x\geq \frac{21}{-3}$

$x\geq -7$

This inequality gives solution that x should be greater than or equal to -7, which is opposite to our given inequality, therefore, option C is incorrect.

(D) $-3x\geq 21$

Dividing inequality by a negative number swaps inequality sign.

$x\leq \frac{21}{-3}$

$x\leq -7$

We can see that option D gives the same answer as our given inequality, therefore, option D is the correct choice.

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3 years ago

Three ratios equivalent to 16:12

Elina [12.6K]

Answer:

48:36 64:48 60:80

Step-by-step explanation:

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4 years ago

Matematyka<br> g=?<br> Ep=m*g*h

kap26 [50]

Answer:

g = 1

Step-by-step explanation:

ep = m*g*h

ep = 1*1

m = 1

g = 1

h = 1

Brainlist Pls!

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3 years ago

1st term in sequence is 6-4th term is -6, the 8th term is -22 write a function that can be used to find the nth term of the sequ

laila [671]

EXPLANATION

The nth term of the sequence is given by

$U_n=a+(n-1)d$

Where

$a$

is the first term and

$d$

is the constant difference.

We were given that,

$a=6$

S we just need the common difference to write the nth term.

We can get that from another information given to us.

We were also given that the 4th term is 6. This gives the equation.

$a+3d=-6$

We substitute

$a=6$

to obtain

$6+3d=-6$

Or

$2+d=-2$

This implies,

$d=-2-2$

$d=-4$

We substitute these values into the general formula to obtain,

$U_n=6+(n-1)\times-4$

This gives us,

$U_n=6+-4n+4$

$U_n=10-4n$

Hence the nth term of the sequence is,

$10-4n$

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3 years ago

Read 2 more answers