MATHEMATICS MIDDLE SCHOOL

If the ratio of the purple flowers to black flowers is 4 to 8 and there are a total of 108 flowers,how many of the flowers are purple

Answers

Answer 1

Answer:

Answer: 36

Step-by-step explanation:

Given : The ratio of the purple flowers to black flowers is 4 to 8.

Let the number of purple flowers be 4x and the number of black flowers be 8x.

Since , there are a total of 108 flowers.

Then we have the following equation :-

$4x+8x=108\n\n\Rightarrow\ 12x=108\n\n\Rightarrow\ x=(108)/(12)=9$

Now, the number pf purple flowers = 4(9)=36

Hence, there are 36 purple flowers.

Answer 2

Answer: 36 flowers would be purple. Here's why:
The ratio 4:8 is the same as 1:2. This means that of every three flows, 1 is purple and 2 are black.
Since 1/3 of the flowers are purple, you'd take 108 x (1/3), or simply divide by 3. Your answer would be 36, and that's how many flowers are purple.

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One of the authors received a credit card bill to $2,944, but it included a charge of $1,898 that was not valid. Find the values of the absolute and relative errors. The value of the absolute error is $ (The value of the absolute error is) The value of the relative error is nothing% (round to the nearest integer as needed).

Answers

The absolute error is $1898, the relative error is 2

What is an absolute and relative error?

An absolute error is a determinant of how large an error is. A relative error defines how good or bad an error is.

The formula for determining an absolute error is;

Absolute error = measured value - actual value

The formula for determining a relative error is:

relative error = absolute error/actual value

From the parameters given:

The absolute error can be computed as:

Absolute error = 2944 - (2944 - 1898)

Absolute error = 2944 - 1046

Absolute error = $1898

The relative error = 1898/1046

The relative error = 1.8

The relative error ≅ 2 (as an integer)

Learn more about absolute error and relative error here:

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Can a quadratic function ever be an odd function? Explain why.

Answers

no, odd functions are odd degrees
quadratic functions are to 2nd degree (Even)

Help what is x^2-2x-24=0 I know you can use quadratic formula I just forgot how examples always help :)

Answers

There are another way to solve a quadratic equation we call, Sum and product.

Let's see how we can do this...

$x^2-2x-24=0$

$Sum=-(b)/(a)$

$Product=(c)/(a)$

therefore

$Sum=-((-2))/(1)=2$

$Product=(-24)/(1)=-24$

now we have to pick up 2 numbers that the sum should be 2 and the product should be -24, we just have to think a little.

Let's try -3 and 8, for example.

$8+(-3)=5$

$8*(-3)=-24$

Doesn't work.

Let's try now 4 and -6.

$4+(-6)=-2$

$4*(-6)=-24$

Can you see here, that we have to change the signal?!

therefore

Let's try -4 and 6

$6+(-4)=2$

$6*(-4)=-24$

$Sum=2$

and

$Product=-24$

Them it works.

$\boxed{\boxed{x_1=-4~~and~~x_2=6}}$

$x^2-2x-24=0\n\na=1;\ b=-2;\ c=-24\n\n\Delta=b^2-4ac\n\n\Delta=(-2)^2-4\cdot1\cdot(-24)=4+96=100\n\nx_1=(-b-\sqrt\Delta)/(2a);\ x_2=(-b+\sqrt\Delta)/(2a)\n\nx_1=(2-√(100))/(2\cdot1)=(2-10)/(2)=(-8)/(2)=-4\n\nx_2=(2+√(100))/(2\cdot1)=(2+10)/(2)=(12)/(2)=6$

The straight line with equation $y = 11x - 28$
is a tangent to the curve
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at the point (3,5). Find A, the coefficient of
${x}^(2)$