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s344n2d4d5 [400]
2 years ago
10

Lynn bought a bag of grapefruit 1 5/8 pounds of apples to + 3/16 pounds of bananas the total weight of her purchase with 7 1/2 p

ounds how much did the bag of grapefruit way
Mathematics
1 answer:
Irina-Kira [14]2 years ago
7 0
Let us assume the weight of grapefruit = x pounds
Weight of the apples = 1 5/8 pounds
                                   = 13/8 pounds
Weight of the bananas = 3/16 pounds
The total weight of her purchase = 7 1/2 pounds
                                                     = 15/2 pounds
Then we get the equation as
x + 13/8 + 3/16 = 15/2
16x + 26 + 3 = 16 * (15/2)
16x + 29 = 8 * 15
16x + 29 = 120
16x = 120 - 29
16x = 91
x = 91/16
So the weight of the grapefruit is 91/16 pounds. It can also be written
as 5 11/16 pounds
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b) A fruit seller bought some mangoes for Rs 500. He sold them at 10% loss. If he wants to make a profit of 12.5% without increa
avanturin [10]

Answer:

New CP = Rs 387.5

Step-by-step explanation:

Cost Price = Rs. 500

Loss %age = 10% of 500

So, Loss = Rs 50

<u><em>Finding the selling price:</em></u>

Selling Price = CP - Loss

SP = 500 - 50

SP = Rs 450

Now, The fruit seller wants to gain a profit of 12.5% without changing the selling Price:

<u><em>Firstly, Let's talk about the Profit :</em></u>

Profit %age = 12.5% of 500

Profit = 12.5 * 5

Profit = Rs 62.5

He wants to gain a profit of Rs 62.5

<u><em>So, The cost Price</em></u>

The cost price would be reduced by Rs 62.5

New CP = 450 - 62.5

New CP = Rs 387.5

4 0
2 years ago
A researcher found a study relating the value of a car, y, to the age of the car, x. When researchers looked at the association
vredina [299]

Answer: c) About 16% of the variation in value of the car is explained by a linear relationship with the age of the car.

e) The correlation coefficient, r, is 0.397.

Step-by-step explanation:

Given that:

Coefficient of determination (r²) between two variables, age of car (x) and value of car (y) = 0.158

Correlation of determination (r²) of 0.158 = (0.158 × 100% = 15.8% of the variation between the two variables can be explained by the regression line). Hence, about 16% of the variation between age and value of car can be explained by the linear relationship.

Coefficient of correlation (r) = sqrt(r²) = sqrt(0.158) = 0.397

8 0
2 years ago
Suppose students' ages follow a skewed right distribution with a mean of 24 years old and a standard deviation of 3 years. If we
natta225 [31]

Answer: Option 'c' is correct.

Step-by-step explanation:

Since we have given that

Mean of students' age = 24 years

Standard deviation of students' age = 3 years

Sample size = number of students = 350

So, according to options,

a. The shape of the sampling distribution is approximately normal.

It is true as n >30, we will use normal.

b. The mean of the sampling distribution is approximately 24-years old.

It is true as it is given.

c. The standard deviation of the sampling distribution is equal to 5 years.

It is not true as it is given 3 years.

Hence, Option 'c' is correct.

8 0
2 years ago
If -50c+6=-69, what is the value of 6c-15
ipn [44]

The answer that I got is C=-6

8 0
2 years ago
There is a point $A$ with positive coordinates such that the sum of the coordinates of $A$ is $14$. If the $x$-coordinate of $A$
ch4aika [34]

Answer:

  5

Step-by-step explanation:

<u>Given</u>:

  A = (a, 14-a)

  P = (3a, a^2 +13a -11)

  the slope of AP is 7

  a > 0

<u>Find</u>:

  a

<u>Solution</u>:

The slope of AP is ...

  m = (Py -Ay)/(Px -Ax)

  7 = (a^2 +13a -11 -(14 -a))/(3a -a)

  14a = a^2 +14a -25

  25 = a^2

  a = √25 = 5 . . . . . the positive solution

The value of 'a' is 5.

_____

<em>Check</em>

The point A is (a, 14-a) = (5, 9).

The point P is (3a, a^2 +13a -11) = (15, 79)

The slope of AP is (79 -9)/(15 -5) = 70/10 = 7.

6 0
2 years ago
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