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emmainna [20.7K]
3 years ago
14

Explain why the system of equations - 2x + y=6 and y-2x = 4 has no solution

Mathematics
1 answer:
Zolol [24]3 years ago
7 0
Hi, so basically when you solve the system, you will end up with 6=4 which is clearly not true so the system has no solution. i’ve put the working in the image.

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What is the solution set of the following equation? 6x^2 = 13x + 5
fiasKO [112]

Answer:

2nd

Step-by-step explanation:

using the quadric formula

- ( - 13) +  -  \sqrt{( - 3) {}^{2} - 4 \times 6( - 5) }   \div 2 \times 6

do the math and you get the second one.

{-1/3,5/2}

6 0
3 years ago
9 times what number minus 7 equals negative seven
kirill115 [55]
9x-7=-7
9x=o
x=0
so the answer....is 0
8 0
3 years ago
What is 9% of 42 pls help fast!
joja [24]

Answer:

3.78

Step-by-step explanation:

Percentage solution with steps:

Step 1: We make the assumption that 9 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that $100\%=9$.

Step 4: In the same vein, $x\%=42$.

Step 5: This gives us a pair of simple equations:

$100\%=9(1)$.

$x\%=42(2)$.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{9}{42}$

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{42}{9}$

$\Rightarrow x=466.67\%$

Therefore, $42$ is $466.67\%$ of $9$.

4 0
3 years ago
Read 2 more answers
76 div 4<br><br> a)15<br><br> b) 8<br><br> c) 19<br><br> d) 0<br><br> Explain
Sunny_sXe [5.5K]

Answer:

C. 19.  

Step-by-step explanation:

Let's find the answer.

Step 1:  divide the first number of 76, which is 7, by 4 and find the integer part.

7/4=1.75, so the integer part is 1.

Step 2: subtract from 7 the (integer part times 4)

7-(1*4)=3

Step 3: put toether the result (3) and the second number of 76, which is 6, so the result is 36.

Step 4: find how many times we need to add 4s to reach 36, so:

4+4+4+4+4+4+4+4+4=36 which means that:

36/4=9

Step 5: put together the two resulted numbers calculated in step 1, which is 1, and step 4, which is 9:

1 and 9 giving 19, so the answer is:

76/4=19.

In conclusion the answer is C. 19. 

6 0
3 years ago
A 90 oz. bottle of shampoo is sold for $18.95. What is the price per ounce
Veseljchak [2.6K]

This sets up as a very commonly  used proportion.

90 oz / 18.95 = 1 oz / x             Cross multiply

90 x = 18.95                              Divide by 90

x = 18.95 / 90

x = 0.21 dollars or 21 cents.

So each ounce of shampoo costs 0.21 dollars or 21 cents.

This is a very handy way to check best deals. Stores have trained us for years to believe that the more we buy of a brand, the better the price. It isn't always true. Sometimes buying the  smaller quantity is the better deal. There is only one way to be sure and that's to do a proportion like this one.

Try this is an example. The same company makes a smaller container of shampoo of 45 oz for 9.15. How much is 1 oz and which is the better deal? You should get 0.20333 dollars so this is marginally (just) the better deal.

4 0
3 years ago
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