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Margaret [11]
3 years ago
5

Choose Yes or No to tell if the fraction

Mathematics
1 answer:
Ivahew [28]3 years ago
8 0

Answer:

adding \frac{3}{5} in the blank space makes the equation true.

Step-by-step explanation:

i) \dfrac{7}{20}  + \dfrac{3}{5}  = \dfrac{7}{20} + \dfrac{12}{20} = \dfrac{7 + 12}{20} = \dfrac{19}{20}

ii) From the above equation we see that adding \dfrac{3}{5} in the blank space makes the equation true.

iii) first the fraction of  \dfrac{3}{5}  is multiplied by 4 on top and bottom which gives us the value of \dfrac{12}{20} which now has the same denominator as \dfrac{7}{20} and so the numerator of the two fractions can be added which gives the result \dfrac{19}{20} which makes the equation true.

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The annual health insurance premium for Ms Everett is $12,304. her employer pays 70% of the premium and deducts the remainder fr
Gekata [30.6K]
Answer: See each one below:

1) Since she is paying for 30% of the cost, we multiply it by 0.3. Then, since it is over the whole year, we divide it by 12.

12304 * 0.3 / 12 = 307.6 B

2)  First, we subtract the cost of the 50 deductible, then multiply the amound by 0.2 because he has to pay 20% of the balance.
1060 - 50 = 1010 x 0.2 = 202 A

3)  First, we find the total cost of the visits. Mattie has to pay for 40% so times it by 0.4. Then, don't forget to add in the cost of 12 co-pays of $15 each.
3660 * 0.4 = 1464 + 15(12) = 1664 B
7 0
3 years ago
Read 2 more answers
3x+2y=10 Solve the equation for y
Irina-Kira [14]

Answer:

y=-3/2x+5

Step-by-step explanation:

3x+2y=10

2y=10-3x

2y=-3x+10

y=-3/2x+10/2

y=-3/2x+5

5 0
3 years ago
Read 2 more answers
20x=9<br> How to solve 20x=9
nikdorinn [45]

Answer:

x= 9/20 = .45

Step-by-step explanation:

20x=9

x= 9/20 = .45

8 0
3 years ago
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Simplify f+g / f-g when f(x)= x-4 / x+9 and g(x)= x-9 / x+4
steposvetlana [31]

f(x)=\dfrac{x-4}{x+9};\ g(x)=\dfrac{x-9}{x+4}\\\\f(x)+g(x)=\dfrac{x-4}{x+9}+\dfrac{x-9}{x+4}=\dfrac{(x-4)(x+4)+(x-9)(x+9)}{(x+9)(x+4)}\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=\dfrac{x^2-4^2+x^2-9^2}{(x+9)(x+4)}=\dfrac{2x^2-16-81}{(x+9)(x+4)}=\dfrac{2x^2-97}{(x+9)(x+4)}\\\\f(x)-g(x)=\dfrac{x-4}{x+9}-\dfrac{x-9}{x+4}=\dfrac{(x-4)(x+4)-(x-9)(x+9)}{(x+9)(x+4)}\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=\dfrac{x^2-4^2-(x^2-9^2)}{(x+9)(x+4)}=\dfrac{x^2-16-x^2+81}{(x+9)(x+4)}=\dfrac{65}{(x+9)(x+4)}


\dfrac{f+g}{f-g}=(f+g):(f-g)=\dfrac{2x^2-97}{(x+9)(x+4)}:\dfrac{65}{(x+9)(x+4)}\\\\=\dfrac{2x^2-97}{(x+9)(x+4)}\cdot\dfrac{(x+9)(x+4)}{65}\\\\Answer:\ \boxed{\dfrac{f+g}{f-g}=\dfrac{2x^2-97}{65}}

6 0
3 years ago
Read 2 more answers
Write and solve an equation to answer the question. after earning interest, the balance of a checking account is $560. the new b
nikitadnepr [17]
2.33 is the aprox number we start off with. if we got to find the original, we divide 560 by (7/3).
after we estimate the divisior we get 240. 560 - 240 gives us 320.
the answer could be 320.
7 0
3 years ago
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