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grin007 [14]
2 years ago
6

Ray is buying some ginger roots to brew some fresh ginger ale. The price of the ginger root is g, and Ray has a coupon for 10% o

ff. Match the expressions to their meanings
below.

Mathematics
1 answer:
kondaur [170]2 years ago
7 0

Step-by-step explanation:

Comparision: Let say you buy chocolate that cost $1. And there was luckily a coupon, for 10% off.

That means after applying the coupon, you will only pay 90% of the original price. Which is

0.9(1) = 0.9

which equals 90 cents.

So let go back to this problem and apply similar thinking.

The price of the original root is g, so for the original price column, check the 3rd cell, g.

Use our comparision problem, by applying the coupon to the chocolate, you will save

1 - 0.9 = 0.1

which is 1/10 of the original price.

In this equation, we can represent this as 0.1g.

So for the second column, shade in 5th cell, 0.1g.

The price would be

(0.9)1 = 0.9

So our equation for this equation will be

0.9g.

So for third column, shade in 1st cell, 0.9g.

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Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE=2x, BE=y+10, CE=x+2 and DE=4y−8. Find the length of AC.
WARRIOR [948]

Answer: 8 units

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, so you can set AE and CE equal to each other, as well as BE and ED

2x=x+2

x=2

AC=2x+x+2

AC=3x+2

SUbstitute x

AC=3(2)+2

AC=6+2

AC=8

6 0
3 years ago
Harry owes the bank money. To repay his debt, he paid \$150$150dollar sign, 150 back to the bank each month. After 101010 months
Sonja [21]


$8,400
Explanation:
Amount repaid each month = $150
Number of Periods for which amount was paid = 10 months
Amount left after 10 months payment = $6900
The total amount paid = $150 × 10 = $1500
Amount left = $6900
Total debt amount:
(Total Amount left + total amount paid )
$(6900 + 1500)
7 0
3 years ago
A carton has a length of 2 2/3, width of 1 1/3, and height of 1 1/2 feet. What is the volume of the carton?
Oksanka [162]
14/6 fourteen sixths
2 2/6 two and two sixths
simplified 2 1/3 two and a third
all u do is multiply L*W*H

hope this helps
5 0
3 years ago
(a) How many integers from 1 through 1,000 are multiples of 2 or multiples of 9?
DENIUS [597]

Answer:

(a)There are 500 integers from 1 through 1,000 are multiples of 2.

There are 111 integers from 1 through 1,000 are multiples of 9.

(b)0.611

Step-by-step explanation:

Given the set of Integers from 1 through 1000

The least multiple of 2 is 2 and the highest multiple of 2 in the interval is 1000.

To determine the number of terms, we use the formula for the nth term of an Arithmetic Progression, since 2,4,6,... is an Arithmetic Progression,

where first term, a =2, common difference, d =2

Nth term of an A.P,

U_n= a+(n-1)d\\1000=2+2(n-1)\\1000=2+2n-2\\1000=2n\\n=500

  • There are 500 integers from 1 through 1,000 are multiples of 2.

Similarly,

Given the set of Integers from 1 through 1000

The least multiple of 9 is 9 and the highest multiple of 9 in the interval is 999.

To determine the number of terms, we use the formula for the nth term of an Arithmetic Progression, since 9,18,27,... is an Arithmetic Progression,

where first term, a =9, common difference, d =9

Nth term of an A.P,

U_n= a+(n-1)d\\999=9+9(n-1)\\999=9+9n-9\\999=9n\\n=111

  • There are 111 integers from 1 through 1,000 are multiples of 9.

(b)Probability that an integer selected at random is a multiple of 2 or a multiple of 9.

There are a total of 1000 numbers between from 1 through 1,000

n(S)=1000

n(Multiples of 2)=500

n(Multiples of 9)=111

Therefore:

P(\text{Multiples of 9}) \:OR\: P(\text{Multiples of 2})=\frac{111}{1000} + \frac{500}{1000} \\=\frac{611}{1000} \\=0.611

7 0
3 years ago
ASAP WILL AWARD BRAINLIEST.<br><br> Please find the area of all the shapes.
Mandarinka [93]

Answer:

This a trapezium shape.

8+13/2×4=42 in2

8 0
3 years ago
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