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kherson [118]
2 years ago
12

James multiplies 38 by 55. He finds three of the four partial products: 40, 150, and

Mathematics
1 answer:
jeka942 years ago
6 0

Answer:

He is missing 1500, the final solution would be 2090

Step-by-step explanation:

5 times 8 equals 40

5 times 30 equals 150

50 times 8 equals 400

50 times 30 equals 1500

40+150+400+1500= 2090

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Ethan went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 45 grams of sugar and e
Anna35 [415]

9 bottles of soda and 10 juice bottles are purchased

<em><u>Solution:</u></em>

Given that,

Sugar contained by each soda bottle = 45 grams

Sugar contained by each juice bottle = 35 grams

Let,

x be the number of soda bottles

y be the number of juice bottles

Given that,

<em><u>Ethan purchased a total of 19 bottles of juice</u></em>

Therefore, we get,

x + y = 19 ---------- eqn 1

<em><u>Ethan purchased a total of 19 bottles of juice and soda which collectively contain 755 grams of sugar</u></em>

<em><u>Therefore, we frame a equation as:</u></em>

45 \times x + 35 \times y = 755

45x + 35y = 755 --------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

<em><u>From eqn 1,</u></em>

x = 19 - y --------- eqn 3

Substitute eqn 3 in eqn 2

45(19 - y) + 35y = 755

855 - 45y + 35y = 755

10y = 100

y = 10

<em><u>Substitute y = 10 in eqn 3</u></em>

x = 19 - 10

x = 9

Thus 9 bottles of soda and 10 juice bottles are purchased

7 0
2 years ago
Nelson Mandela was a South African politician known for fighting racism and inequality. He was president of South Africa until h
user100 [1]
One possible inequality would be

1999-x<0.

If you subtract any year after he stepped down from 1999, the year he stepped down, the result will be a negative number.
6 0
2 years ago
Read 2 more answers
After selling one third of his apple crop, a farmer sold the remainder at the same price per bushel for $600. What is the value
kolezko [41]
300. if you sold a third. then 2/3 would be left. you can then infer each is 300
3 0
2 years ago
Read 2 more answers
Assume that the ages for first marriages are normally distributed with a mean of 26 years and a standard deviation of 4 years. W
Snowcat [4.5K]

Answer:

0.7743

Step-by-step explanation:

Mean of age = u = 26 years

Standard Deviation = \sigma = 4 years

We need to find the probability that the person getting married is in his or her twenties. This means the age of the person should be between 20 and 30. So, we are to find P( 20 < x < 30), where represents the distribution of age.

Since the data is normally distributed we can use the z distribution to solve this problem. The formula to calculate the z score is:

z=\frac{x-u}{\sigma}

20 converted to z score will be:

z=\frac{20-26}{4}=-1.5

30 converted to z score will be:

z=\frac{30-26}{4}=1

So, now we have to find the probability that the z value lies between -1.5 and 1.

P( 20 < x < 30) = P( -1.5 < z < 1)

P( -1.5 < z < 1 ) = P(z < 1) - P(z<-1.5)

From the z-table:

P(z < 1) = 0.8413

P(z < -1.5) =0.067

So,

P( -1.5 < z < 1 ) = 0.8413 - 0.067 = 0.7743

Thus,

P( 20 < x < 30) = 0.7743

So, we can conclude that the probability that a person getting married for the first time is in his or her twenties is 0.7743

6 0
2 years ago
A 5 lb cat needs 12mg/kg thiopental. How much 2.5% thiopental will you need to draw up? A. 10.8 mL B. 1.08 mL C. 108 mL D. 18 mL
wlad13 [49]
B. 1.08mL

1 lb = 2.2 kg

5 lb = 2.27 kg

2.27kg   ×  12mg   = 27.24 mg

Divide 27.42 mg by 2.5    = 10.896mg

Now change the mg to mL

10.896   ÷ 10  = 1.0896 
6 0
2 years ago
Read 2 more answers
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