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2 years ago

Darnell has $1.20 in quarters and nickels. He has 8 coins altogether. How many coins of each kind does he have?

Mathematics

2 answers:

dexar [7]2 years ago

8 0

Answer:

4 quarters

4 nickels

Step-by-step explanation:

Romashka [77]2 years ago

5 0

4 quarters 4 nickels

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Solve by taking the square root I need help understanding steps this is hard for me.

Shalnov [3]

Answer:

x= $-2 \pm \sqrt{13}$

Step-by-step explanation:

Given: $3x^{2} -12x+27= 0$

This is a quadratic equation.

$3x^{2} -12x+27= 0$

Taking common 3 from the equation given

⇒ $3(x^{2} -4x+9)=0$

dividing both side by 3

⇒ $x^{2} -4x+9=0$

By using different factor, we can observe this trinomial can not be factored.

∴ solving it by completing the square.

⇒ $x^{2} -4x+9=0$

adding 9 on both side

⇒ $x^{2} -4x= 9$

To get a perfect square number as coeffecient of x is 4, lets add both side by 4.

⇒ $x^{2} -4x+4= 13$

we know, $(x+2)^{2} = x^{2} +2\times x\times 2+2^{2}$

∴ $(x+2)^{2} =13$

Taking Square root on both side, remember; √a²= a

⇒ $(x+2)= \sqrt{13}$

opening parenthesis

⇒ $x+2= \sqrt{13}$

subtracting both side by 2

∴ x= $-2 \pm \sqrt{13}$

7 0

2 years ago

Find a8 in the arithmetic sequence with a1=-7 and d=0.5

gavmur [86]

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=-7\\
d=0.5\\
n=8
\end{cases}
\\\\\\
a_8=a_1+(8-1)d\implies a_8=-7+(8-1)(0.5)$

and surely you know how much that is.

3 0

3 years ago

The variable y is directly proportional to the variable x. If y = 12 when x = 14, what is the value of x when y = 247

vlabodo [156]

Answer: 288.17

Step-by-step explanation:

y ∝ x

⇒ y = kx

substituting the given value of x and y , the equation becomes

12 = 14 k

therefore

k = 12/14

k = 6/7

The formula then becomes

y = 6/7 x

when y = 247, we have

247 = 6/7 x

6x = 247 x 7

6x = 1729

x = 1729/6

x = 288. 17

6 0

3 years ago

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS

Leokris [45]

d ≥ -7 ? (ignore.....................................................................................................................................)

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2 years ago

Select the correct answer. Which expression is equivalent to , if x > 0? A. B. C. D.

zhenek [66]

Answer:

Step-by-step explanation:

7 0

3 years ago