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Reptile [31]
3 years ago
12

Determine if the following system of equations has no solutions ......................

Mathematics
1 answer:
topjm [15]3 years ago
8 0

Answer:

No solutions

Step-by-step explanation:

3x+4y=-4

15x+20y=-22

——————————

-5(3x+4y)=-5(-4) multiply 1st equation by -5 so you can eliminate the variables

-15x-20y=20. Modified 1st equation

15x+20y=-22.  2nd equation

0+0=-2. Added two equations together

since 0 does not equal -2, there is no solution.

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-7x^2+14x+21=0<br>answer?​
scoray [572]

Answer:

7(−x−1)(x−3)

Step-by-step explanation:

6 0
3 years ago
How many centimeters are in 5.2 inches? [1 inch = 2.5 cm]
Molodets [167]
This would be about 13 cm
6 0
4 years ago
Read 2 more answers
Kerry purchased a used car for 14,4000. And had to pay 8% sales tax how much did she pay
saul85 [17]

Answer:

Kerry should pay = 155520

Step-by-step explanation:

Total amount paid = 14,4000 + 8% of 14,4000

It is given that,

Kerry purchased a used car for 14,4000. And had to pay 8% sales tax

<u>To find the 8% of 14,4000</u>

8% of 14,4000 = (8*144000)/100 = 11520

<u>To find total amount paid</u>

Total amount paid = 14,4000 + 8% of 14,4000

 = 14,4000 + 11520 =155520

Therefore Kerry should pay = 155520

4 0
4 years ago
The volume of a rectangular prism, in cubic meters, is given by the expression x to the 3rd power
nydimaria [60]

Answer:

power of 3

Step-by-step explanation:

that formula of rectangular prism V=L×b×h when all of number are in meter will not convert if the number of cubic are not all meter must convet to be in meter by dividing by 10, 100 or 1000

5 0
2 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
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