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Kay [80]
2 years ago
7

A)Mark and Jada share 5 yards of ribbon equally. How much ribbon will each get

Mathematics
1 answer:
Julli [10]2 years ago
7 0
A) Mark and Jada will each get 2.5 yards of ribbon.

Explanation:
Mark and Jada are sharing 5 yards of ribbon equally amongst 2 people, the two of the together. In order to solve the equation, you must divide the number of yards of ribbon by the number of people equally sharing it, which would be 5 divided by 2. 2 can not be multiplied by any non-decimal number to equal 5, so we can put down the number multiplied by 2 that is closest to 5, which would be 2, because 2 x 2 = 4. Subtracting 5 from 4 gives us 1. Since there are no remainders in our answer, the answer will be a decimal. So then we put a decimal in front of the 2, and add a 0 next to the 1 we got by subtracting 4 from 5, turning the 1 into a 10. 2 times 5 equals 10, so add a 5 to your answer and subtract 10 from 10. 10 - 10 = 0, so the answer is 2.5 yards of ribbon. You can check this answer by multiplying the 2.5 yards of ribbon in our answer by the 2 people who are equally sharing it, 2.5 x 2 = 5 yards of ribbon. So we can certainly conclude that Mark and Jada will be sharing 2.5 yards of ribbon.


B) Mark and Jada can make 10 bows with 5 yards of ribbon.

Explanation:
It takes half a yard of ribbon to make a bow, so we will need to find half of 1. 1 divided by 2 equals 0.5, so 0.5 yards of ribbon will be used for each bow. Now we need to find out how many bows can be made with 5 yards of ribbon. 5 divided by 0.5 equals 10, so the answer come out to be 10 bows. You can check your answer by solving 5 divided by 10, which equals 0.5. So we can safely conclude that 10 bows can be made with 5 yards of ribbon.

I’m sorry if the explanations were too long, I provided a picture so that you could better understand what I’m saying! If I answered correctly and you understood my explanation, a 5 star rating would be highly appreciated! If you didn’t understand my explanation, but the answer was right, a 4 star rating would be better. Thank you!

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2 years ago
Find the zeros (roots) of the following equations. f(x) = 2x5 - 9x4 + 12x3 - 12x2 + 10x - 3 = 0
Talja [164]
Hi,
f(1)=2*1^5-9*1^4+12*1^3-12*1^2+10*1-3\\
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f(x)=(x-1)(2x^4-7x^3+5x^2-7x+3)\\


g(x)=2x^4-7x^3+5x^2-7x+3\\

g(3)=2*3^4-7*3^3+5*3^2-7*3+3\\
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g(x)=(x-3)(2x^3-x^2+2x-1)\\

h(x)=2x^3-x^2+2x-1\\

h( \dfrac{1}{2} )=2* \dfrac{1}{8} - \dfrac{1} {4}+1-1\\
=0\\

h(x)=(2x-1)(x^2+1)\\


f(x)=(x-1)(x-3)(2x-1)(x+i)(x-i)\\



Roots are 1,3,0.5,i,-i.

8 0
3 years ago
A method currently used by doctors to screen patients for a certain type of cancer fails to detect cancer in 15% of the patients
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Answer:

A technique presently used through docs to display screen ladies for breast most cancers fails to observe most cancers in 15% of the girls who without a doubt have the disease. A random pattern of eighty girls acknowledged to have breast most cancers are to be screened the use of a new technique that researchers suppose will be capable to realize most cancers greater accurately. At the 0.05 stage of significance, the researchers will be capable to conclude that the new approach is higher than the present day one if the fantastic.

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3 years ago
Using the z table, find the critical value for a=0.024 in a left tailed test
natita [175]

Answer:

Critical value is -1.98.

Step-by-step explanation:

Given:

The value of alpha is, \alpha=0.024

Now, in order to find the critical value, we need to subtract alpha from 1 and then look at the z-score table to find the respective 'z' value for the above result.

The probability of critical value is given as:

P(critical)=1-\alpha=1-0.024=0.976

So, from the z-score table, the value of z-score for probability 0.976 is 1.98.

Now, in a left tailed test, we multiply the z value by negative 1 to arrive at the final answer. We do so because the area to the left of mean in a normal distribution curve is negative.

So, the z-score for critical value 0.024 in a left tailed test is -1.98.

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=5%20%2B%20%20%5Cfrac%7Bx%20-%202%7D%7B3%7D%20%20%3D%20%20%5Cfrac%7Bx%20%2B%203%7D%7B8%7D%20" i
sammy [17]
First multiply each term by 24(the common denominator found by 8×3) to remove the fractions and make things easier.
24(5) + 24( \frac{x - 2}{3} ) = 24( \frac{x + 3}{8} )
This will give you,
120 + 8(x - 2) = 3(x + 3)
Then just continue to simplify and isolate the variable.
120 + 8x - 16 = 3x + 9
8x + 104 = 3x + 9
5x =  - 95
x =  - 19

7 0
3 years ago
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