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Mademuasel [1]
3 years ago
9

The product of two even numbers is always divisible by 4

Mathematics
2 answers:
iogann1982 [59]3 years ago
6 0
Idk what you're asking but if it's a true or false question then the answer would be true
Here's an example:
6 x 8 = 48 
48/ 4 = 12

14 x 12 = 168
168/4 = 42




NNADVOKAT [17]3 years ago
3 0
Yes because 4 is an even number too but I really recommend you to always check by dividing it so a good answer to that would be... Yes, because 4 is an even number as well.
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Mai drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8 hours. When Mai drove hom
Vesna [10]

Answer:

Mai lives 384 miles away from the mountains

Step-by-step explanation:

Let d represent distance between Mai's house and mountains and r represent Mai's rate while going to mountains.

We have been given that there was heavy traffic on the way there, and the trip to mountains took 8 hours.

\text{Distance}}=\text{Time}\times \text{Speed}

d=8r...(1)

We are also told that when Mai drove home, there was no traffic and the trip only took 6 hours. Her average rate was 16 miles per hour faster on the trip home.

d=6(r+16)...(2)

Upon equating equation (1) and equation (2), we will get:

8r=6(r+16)

8r=6r+96

8r-6r=6r-6r+96

2r=96

\frac{2r}{2}=\frac{96}{2}

r=48

Upon substituting r=48 in equation (1), we will get:

d=8r\Rightarrow 8(48)=384

Therefore, Mai lives 384 miles away from the mountains.

8 0
3 years ago
Willie spent half of his weekly allowance on clothes. To earn more money his parents let him weed the garden for $5. What is his
Lera25 [3.4K]

Answer:

14 dollars

Step-by-step explanation:

14÷2= 7

7+5=12

5 0
3 years ago
There are some Nichols dimes and quarters in a large piggy bank for every two nickels there a sweetheart forever to Diane’s ther
grigory [225]

Answer:

There are 80 nickels, 120 dimes and 300 quarters in the piggy bank.

All coins in the piggy bank worth $91.

Step-by-step explanation:

Please consider the complete question:

There are some nickels, dimes, and quarters in a large piggy bank. For every 2 nickels there are 3 dimes. For every 2 dimes there are 5 quarters. There are 500 coins total. How many nickels, dimes, and quarters are in the piggy bank? Explain your reasoning. How much are the coins in the piggy bank worth?

Let n, d, q represent number of nickles, dimes and quarters respectively.

For every 2 nickels there are 3 dimes. We can represent this information in an equation as:

\frac{2}{n}=\frac{3}{d}...(1) or

n=\frac{2d}{3}...(1)

For every 2 dimes there are 5 quarters. We can represent this information in an equation as:

\frac{2}{d}=\frac{5}{q}...(2) or  

q=\frac{5d}{2}...(2)  

There are 500 coins total. We can represent this information in an equation as:

n+d+q=500...(3)

We will use substitution method to solve our given system.

Upon substituting equation (1) and equation (2) in equation (3), we will get:

\frac{2d}{3}+d+\frac{5d}{2}=500  

Multiply the equation by 6:

\frac{2d}{3}*6+d*6+\frac{5d}{2}*6=500*6  

2d*2+6d+5d*3=3000  

4d+6d+15d=3000  

25d=3000  

\frac{25d}{25}=\frac{3000}{25}  

d=120  

Therefore, there are 120 dimes in the piggy bank.

Upon substituting d=120 in equation (1), we will get:

n=\frac{2(120)}{3}

n=2(40)

n=80

Therefore, there are 80 nickels in the piggy bank.

Upon substituting d=120 in equation (2), we will get:

q=\frac{5d}{2}  

q=\frac{5(120)}{2}  

q=5(60)  

q=300  

Therefore, there are 300 quarters in the piggy bank.

Now, we need to find the value of all coins.

We know 1 quarter is worth $0.25, so 300 quarters will be worth \$0.25\times 300=\$75.

We know 1 dime is worth $0.10, so 120 dimes will be worth \$0.10\times 120=\$12.

We know 1 nickel is worth $0.05, so 80 nickels will be worth \$0.05\times 80=\$4.

\text{All coins worth}=\$75+\$12+\$4

\text{All coins worth}=\$91

Therefore, all coins in the piggy bank worth $91.

7 0
3 years ago
5,000/7,000,000,000 simplified
riadik2000 [5.3K]
0.000000714 is the decimal version, but as a fraction its 5/7,000,000
3 0
3 years ago
Calculate the value of x
vivado [14]

Answer:

x = 55

Step-by-step explanation:

x + (2x+15) = 180

3x + 15 = 180

3x = 165

x = 55

6 0
3 years ago
Read 2 more answers
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