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sergey [27]
3 years ago
9

Mary and her brother John collect foreign coins. Mary has three times the number of coins that John has. Together they have 180

foreign coins. Find how many coins Mary has.
45 coins

126 coins

135 coins

17 coins
Mathematics
2 answers:
irina [24]3 years ago
7 0
Mary has 135 coins and John has 45 coins.
jarptica [38.1K]3 years ago
4 0
She has 135 coins. John has 45 coins
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What is a true statement about negative exponents?
Nadya [2.5K]

Answer:

Raising something to a negative exponent is just taking the reciprocal of the amount.

Step-by-step explanation:

Let's assume that you wanted to know what x^{-2} is.

To find it, you would take the reciprocal of the x amount. So x^{-2} becomes \frac{1}{x^{2}}.

This works because of the nature of exponents. Exponents represent the number of times you are multiplying a value by itself. So a^{3} would be equal to a · a · a. To increase the exponent, you increase the number of times the value is multiplied by itself: To increase a^{3} to a^{5}, you would have to multiply a with a^{3} two more times (a · a · a · a · a). To decrease the exponent, you must divide the value by itself. So to decrease a^{5} to a^{2}, you would have to divide a^{5} by a 3 times.

If the exponent is 0, the value is equal to 1. But you can still decrease the exponent into negative numbers. You just divide 1 by a the desired amount of times: \frac{1}{a^{3}} means that you are dividing 1 by a 3 times.

Hope this helps.

3 0
3 years ago
Three people invest in a treasure dive, each investing the amount listed below. The dive results in 40 gold coins. Apportion tho
garri49 [273]

Answer:

Alice: 20 coins, Ben: 16 coins, and Carlos: 4 coins.

Step-by-step explanation:

We know that the dive results in 40 gold coins.

We know that:

Alice: $7,600 Ben: $5,900 Carlos: $1,400.

So they have $ 14900 in total.

Now we will divide that money by 40.

x=\frac{14900}{40}\\\\x=372.5

So 1 gold coin costs $ 372.5. Now we will calculate how much they can get for the money they have.

A=\frac{7600}{372.5}=20.4\\\\B=\frac{5900}{372.5}=15.8\\\\C=\frac{1400}{372.5}=3.75\\

We conclude that:

Alice: 20 coins, Ben: 16 coins, and Carlos: 4 coins.

6 0
3 years ago
I just need to find this data set out, please anyone?​
rewona [7]

Answer:

Ok so...

Mean: 68.76

Median: 72

Range: 85

Step-by-step explanation:

3 0
3 years ago
Last year at a certain high school, there were 125 boys on the honor roll and 80 girls on the honor roll. This year, the number
Elodia [21]

Answer:

6.8% decrease

Step-by-step explanation:

a drop of 8% means that only 92% of 125 boys remained on honor roll from last year; .92 x 125 = 115

a drop of 5% means that only 95% of 80 girls remained on honor roll from last year; .95 x 80 = 76

total number of students on honor roll last year = 125 + 80 = 205

total number of students on honor roll this year = 115 + 76 = 191

percent of change = (191 - 205) ÷ 205 = -14/205 = -.068

-.068, which represents a 6.8% decrease

3 0
2 years ago
A sugar box manufacturing company is accurately making 100 g packets. Suppose a business researcher randomly selects 100 boxes,
irga5000 [103]

Answer:

The kind of error the researcher has done is a;

Type I error

Step-by-step explanation:

When carrying out hypothesis testing in statistical analysis, a type I error is the type of error said to have occurred when a null hypothesis that is true or correct is rejected which is a false positive conclusion

Given that that sugar box manufacturing company makes the boxes to be 100 g accurately, and that the researcher makes non-random or randomly selects packets which are not filled, the mean of the filled packets is expected to be 100 g making the conclusion for rejection of the null hypothesis a false positive rejection

7 0
2 years ago
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