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Romashka-Z-Leto [24]
3 years ago
12

John used 1 3/4 kg of salt to melt on his sidewalk. He then used another 3 4/5 kg on the driveway. If he originally bought 10 kg

of salt, how much does he have left
Mathematics
1 answer:
Natali [406]3 years ago
4 0

Answer:

he have left 4.45 kg

Step-by-step explanation:

The computation of he have left is as follows:

= Total salt purchase - salt used on his sidewalk - sales used on the driveway

= 10 - 1 \frac{3}{4} - 3 \frac{4}{5}\\\\= 10 - \frac{7}{4} - \frac{19}{5}\\\\= \frac{200 - 35 -76 }{20}  \\\\= \frac{89}{20}

= 4.45 kg

Hence, he have left 4.45 kg

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For the direct variation such that when y = 2 then x = 3 , find the constant of variation ( k) and then find the value of y when
Sergeu [11.5K]

Answer:

k is 2/3 and y is -1/3 when x is -0.5.

Step-by-step explanation:

The direct variation relationship is y = kx, where k is the const. of var.

Subbing 3 for x and 2 for y, 2 = 3k, or k = 2/3.

Now, if x = -0.5, y = (2/3)(-1/2) = -1/3

k is 2/3 and y is -1/3 when x is -0.5.

8 0
3 years ago
xP(x)00.2510.0520.1530.55Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal pl
Nookie1986 [14]

The Solution:

Given:

Required:

Find the standard deviation of the probability distribution.

Step 1:

Find the expected value of the probability distribution.

E(x)=\mu=\sum_{i\mathop{=}0}^3x_iP_(x_i)\begin{gathered} \mu=(0\times0.25)+(1\times0.05)+(2\times0.15)+(3\times0.55) \\  \\ \mu=0+0.05+0.30+1.65=2.0 \end{gathered}

Step 2:

Find the standard deviation.

Standard\text{ Deviation}=\sqrt{\sum_{i\mathop{=}0}^3(x_i-\mu)^2P_(x_i)}=(0-2)^2(0.25)+(1-2)^2(0.05)+(2-2)^2(0.15)+(3-2)^2(0.55)=4(0.25)+1(0.05)+0(0.15)+1(0.55)=1+0.05+0+0.55=1.60

Thus, the standard deviation is 1.60

Answer:

1.60

8 0
1 year ago
What is the solution for x in the equation?<br><br> 10x − 4.5 + 3x = 12x − 1.1
Aleksandr [31]

Answer:in first part of equation add 10x and 3x (like terms)

13x-4.5=12x-1.1

move all terms containing x to left side of equation

13x-4.5-12x= -1.1

x-4.5= -1.1

Subtract 4.5 from both sides

x=3.4

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The ratio of oranges to apples in Helen's basket is 4:3. The basket has 12 apples in it. How many oranges are in the basket?
frez [133]

Answer:

16 oranges

Step-by-step explanation:

The ratio of oranges to apples is 4:3 which means that for every four oranges, there are 3 apples.

Since there are 12 apples in the basket, to find the number of oranges, set up a ratio.

4/3 = x/12 (x represents the number of oranges)

Cross multiply.

48 = 3x

Divide by 3.

x = 16

There are 16 oranges in the basket.

Hope that helps.

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3 years ago
Michelle is filling out a form and needs to enter her height in meters. She
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1.45 meters is your answer
6 0
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