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Eva8 [605]
3 years ago
13

The Scott family is trying to save as much money as possible. One way to cut back on the money they spend is by finding deals wh

ile grocery shopping; however, the Scott family needs help determining which stores have the better deals. At Grocery Mart, strawberries cost $2.99 for 2 lb., and at Baldwin Hills Market strawberries are $3.99 for 3 lb. What is the unit price of strawberries at each grocery store? If necessary, round to the nearest penny.
Mathematics
1 answer:
avanturin [10]3 years ago
7 0

Answer:

Unit price of strawberries at Grocery Mart is $ 1.495 or 150 pennies

Unit price of strawberries at Baldwin Hills Market is $ 1.33 or 133 pennies.

Step-by-step explanation:

1 dollar = 100 pennies

Given:

Cost of 2 pounds of strawberries at Grocery Mart = $ 2.99

Cost of 3 pounds of strawberries at Baldwin Hills Market = $3.99

∵ Cost of 2 pounds of strawberries at Grocery Mart = $ 2.99

∴ Cost of 1 pound of strawberries at Grocery Mart = \frac{2.99}{2}=\$1.495=1.495\times 100\approx 150\textrm{ pennies}

∵ Cost of 3 pounds of strawberries at Baldwin Hills Market = $3.99

Cost of 1 pound of strawberries at Baldwin Hills Market = \frac{3.99}{3}=\$1.33= 1.33\times 100 = 133\textrm{ pennies}

Therefore, the unit price of strawberries at each grocery store is the cost of 1 pound of strawberries. So, unit rate at Grocery Mart is 150 pennies and at Baldwin Hills Market is 133 pennies.

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Alexeev081 [22]

Answer:

x=\frac{2}{5} or x=1

Step-by-step explanation:

The given quadratic equation is

5x^2-7x+2=0

Group the constant terms on the right hand side.

5x^2-7x=0-2

5x^2-7x=-2

Divide through by 5.

x^2-\frac{7}{5}x=-\frac{2}{5}

Add the square of half the coefficient of x., which is (\frac{1}{2}\times- \frac{7}{5})^2=\frac{49}{100} to both sides of the equation.

x^2-\frac{7}{5}x+\frac{49}{100}=-\frac{2}{5}+\frac{49}{100}

The left hand side is now a perfect square.

(x-\frac{7}{10})^2=\frac{9}{100}

Take the square root of both sides;

(x-\frac{7}{10})=\pm \sqrt{\frac{9}{100}}

x-\frac{7}{10}=\pm \frac{3}{10}

x=\frac{7}{10}\pm \frac{3}{10}

x=\frac{7-3}{10} or x=\frac{7+3}{10}

x=\frac{4}{10} or x=\frac{10}{10}

x=1 or x=\frac{2}{5}

5 0
3 years ago
Read 2 more answers
Questions 2-7 will all be in regards to this data set:Observation X Y1 20 302 23 353 28 404 26 385 24 376 32 457 35 508 24 349 3
Tomtit [17]

Answer:

r =0.4437

Step-by-step explanation:

We have the follwoing dataset:

X: 20,23,53,4,24,32,35,24,31,23

Y: 30,35,40,38,37,45,50,34,42,32

n=10

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

And in order to calculate the correlation coefficient we can use this formula:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

For our case we have this:

n=10 \sum x = 269, \sum y = 383, \sum xy = 10609, \sum x^2 =8645, \sum y^2 =15007  

Th excel figure attached shows the calculations for each sum.

r=\frac{10(10609)-(269)(383)}{\sqrt{[10(8645) -(269)^2][10(15007) -(383)^2]}}=0.4437  

So then the correlation coefficient would be r =0.4437

3 0
3 years ago
The store is selling lemons at $0.56 each. Each lemon yields about 2 tablespoons of juice. How much will it cost to buy enough l
Nostrana [21]

Answer:

$6.72

Step-by-step explanation:

The store is selling lemons at $0.56 each. Each lemon yields about 2 tablespoons of juice.How much will it cost to buy enough lemons to make three  9-inch lemon pies, each requiring half a cup of lemon juice?

1 cup = 16 table spoon of juice

half a cup =  8 table spoon of juice

1 pie require half a cup of lemon juice. so 1 pie requires 8 tablespoon of lemon juice

Each lemon yields about 2 tablespoons of juice

2 times 4 = 8

So 4 lemon needed to make a pie

cost of 1 lemon = 0.56

cost of 4 lemons = 0.56 \cdot 4=2.24

cost of lemon for making 3 pie= 3 \cdot 2.24=6.72

4 0
3 years ago
Ray LN is the perpendicular bisector of segment JK.
scoray [572]

Answer:

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Step-by-step explanation:

3 0
2 years ago
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inessss [21]

Answer:

x+2y-10=0

Step-by-step explanation:

Consider an equation: y=mx+c

Here, m is the slope of the line and c is the y-intercept.

Given equation is y=2x+3.14

Here, slope is m=2

As product of slopes of two perpendicular lines is equal to -1, slope of the required line is m_1=\frac{-1}{m}=\frac{-1}{2}.

Let (x_1,y_1)=(2,4)

Equation of the required line is y-y_1=m_1(x-x_1)

y-4=\frac{-1}{2}(x-2)\\2(y-4)=-1(x-2)\\2y-8=-x+2\\x+2y-8-2=0\\x+2y-10=0

8 0
3 years ago
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