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3 years ago

Find the quotient and remainder for52/8

Mathematics

1 answer:

Burka [1]3 years ago

8 0

The answer 48 with a remainder of 4. Hope this works.

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Find the value of x in the equation 2x²+3x+3=20

Zigmanuir [339]

Answer:

$x= \frac{-3 - \sqrt{145} }{4} \ \ or\ \ x= \frac{-3 + \sqrt{145} }{4}$

Step-by-step explanation:

2x² + 3x + 3 = 20

⇔ 2x² + 3x + 3 - 20 = 0

⇔ 2x² + 3x - 17 = 0

Using the Quadratic Formula to solve a Quadratic Equation :

$x= \frac{-b \pm \sqrt{b^{2}-4ac} }{2a}$

In the equation 2x² + 3x - 17 = 0

a = 2 , b = 3 and c = -17

Then

b² - 4ac = 3² - 4×2×(-17)

= 9 + 8 × 17

= 9 + 136

= 145

Then

b² - 4ac > 0

Then

$x= \frac{-3 \pm \sqrt{145} }{2 \times 2}$

Then

$x= \frac{-3 \pm \sqrt{145} }{4}$

8 0

1 year ago

Read 2 more answers

Solve for x using the image shown below:

mario62 [17]

Given:

The given triangle has three equal sides. Thus, the given triangle is an equilateral triangle.

The measure of one angle is (4x - 20)°

Since, it is an equilateral triangle, then all the three sides will be equal.

We need to determine the value of x.

Value of x:

The value of x can be determined using the triangle sum property.

Thus, we have;

$(4x-20)^{\circ}+(4x-20)^{\circ}+(4x-20)^{\circ}=180^{\circ}$

Simplifying, we have;

$4x-20+4x-20+4x-20=180$

Adding the like terms, we have;

$12x-60=180$

$12x=240$

$x=20$

Thus, the value of x is 20

7 0

3 years ago

Read 2 more answers

You have 8 times as many dimes as nickels. You have 18 dimes

fenix001 [56]

Answer:

$1.70

Step-by-step explanation:

Let the number of nickels be $x$ .

Thus, by the problem statement, the number of dimes is [/tex] 8 \cdot x = 8x. [/tex]

Therefore, there are $8x + x = 9$ coins in total. To find what $x$ is, we need to solve the equation $9x = 18.$ This can be done by dividing both sides by $9$ which gives $x=2$ . Plugging these values in tells us that there are $2$ nickels and $16$ dimes. (Test it out!) Thus, the nickels are worth $2 \cdot 5 = 10$ cents and the dimes are worth $16 \cdot 10 = 160$ cents, so in all, you have $10 + 160 = 170$ cents which is $1.70.