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3 years ago

6

Shelby needs 4/8 of a cup of oatmeal for each batch of cookies she is baking. If she wants to make 7 oatmeal cookies, how much o

atmeal does she need?

2 answers:

Diano4ka-milaya [45]3 years ago

8 0

Answer:

4/8×7

<u>4</u><u>×</u><u>7</u>

8

=7/2

=3 1/2 oatmeal

anyanavicka [17]3 years ago

7 0

Answer:

3.5

Step-by-step explanation:

1/2*7=3.5

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Find an m > 0 such that the the equation x^4−(3m+2)x^2+m^2=0 has four real solutions that form an arithmetic sequence.

Aleonysh [2.5K]

Answer:

The value of m is 6.

Step-by-step explanation:

Here, the given equation,

$x^4-(3m+2)x^2+m^2=0$

$x^4+0x^3-(3m+2)x^2+0x+m^2=0$

Let the roots of the equation are a-3b, a-b, a+b and a + 3b, ( they must be form an AP )

Thus, we can write,

$a-3b+a-b+a+b+a+3b=\frac{\text{coefficient of }x^3}{\text{coefficient of }x^4}$

$=\frac{0}{1}=0$

$\implies a=0----(1)$

$(-3b)(-b)+(-b)(b)+(b)(3b)+(3b)(-3b)+(-b)(3b)+(-3b)(b)=\frac{\text{coefficient of }x^2}{\text{coefficient of }x^4}}$

$=\frac{-3m-2}{1}$

$3b^2-b^2+3b^2-9b^2-3b^2-3b^2=-3m-2$

$-10b^2=-3m-2$

$\implies b^2=\frac{3m+2}{10}-----(2)$

$(-3b)(-b)(b)(3b)=\frac{\text{Constant term}}{\text{coefficient of}x^4}= m^2$

$9b^4=m^2$

$9(\frac{3m+2}{10})^2=m^2$

$9(\frac{9m^2+4+12m}{100})=m^2$

$81m^2+36+108m=100m^2$

$-19m^2+108m+36=0$

$19m^2-108m-36=0$

$19m^2-114m+6m-36=0$

$19m(m-6)+6(m-6)=0$

$(19m+6)(m-6)=0$

$\implies m=-\frac{6}{19}\text{ or }m=6$

But m > 0,

Hence, the value of m is 6.

4 0

3 years ago

A political gathering in South America was attended by 7,910 people. Each of South America’s 14 countries was equally represente

zheka24 [161]

Answer:

565

Step-by-step explanation:

You would divide the number of people (7910) by the number of countries attending (14).

7910÷14=565

3 0

3 years ago

in solving the equation for x to distribute a minus 4 on one side of the equation what needs to be done on the other side of the

IrinaVladis [17]

The distributive property is a simplification rule that does not change the value of an expression. Nothing need be done to the other side of the equation.

q = -4(3+x)
q = -4*3 -4*x . . . . . the -4 is distributed. The right side has not changed value.

6 0

3 years ago

Read 2 more answers

Charlie guesses that his dog weighs 34. 5 pounds. The dog actually weighs 32. 7 pounds. What is the percent error in Charlie’s g

expeople1 [14]

Percent error is the amount of error to actual value, in percent. The percent error in Charlie’s guess is approximately: Option D: 5.5%

<h3>How to calculate the percent error?</h3>

Suppose the actual value and the estimated values after the measurement are obtained. Then we have:

Error = Actual value - Estimated value

To calculate percent error, we will measure how much percent of actual value, the error is, in the estimated value.

$\rm Percent \: Error = |\dfrac{Error}{Actual value}|\times 100 \\\\Percent \: Error = | \dfrac{\text{(Actual Value - Estimated Value)}}{Actual value}|\times 100 \\$

(here |x| is such that it makes x non negative, thus, |-5| = 5, and |5| = 5)

For the given case, it is specified that:

Actual weight of dog = 32.7 pounds

Guessed weight of dog, by Charlie : 34.5 pounds.

Error = 32.7 - 34.5 = -1.8 pounds

Thus, percent error in Charlie's guess is calculated as:

$\text{Percent Error} = |\dfrac{-1.8}{32.7}| \times 100 \approx 5.5\%$

Hence, the percent error in Charlie’s guess is obtained approximately is given by: Option D: 5.5%

Learn more about percent error here:

brainly.com/question/25749180

3 0

2 years ago

What's 2|-9| - |-2|?

UNO [17]

Answer:

16

Step-by-step explanation:

First, simplify by finding the absolute values:

2|-9| - |-2|

2(9) - (2)

Then, simplify this by multiplying 2 and 9:

18 - 2

= 16

So, the answer is 16

3 0

2 years ago