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Sedbober [7]
3 years ago
10

Jack did 3/5 of all problems on his weekend homework before Sunday. On Sunday he solved 1/3 of what was left and the last 4 prob

lems. How many problems were assigned for the weekend?
Mathematics
1 answer:
Snezhnost [94]3 years ago
4 0

Answer:

\text{Problems assigned for weekend are}\frac{11}{15}x+4

Step-by-step explanation:

Given that Jack did 3/5 of all problems on his weekend homework before Sunday. On Sunday he solved 1/3 of what was left and the last 4 problems. We have to find the number of problems assigned for weekend.

Let the total problems be x

\text{Problems solved by Jack before Sunday}=\frac{3}{5}x

\text{Problems solved by Jack on Sunday}=\frac{1}{3}(x-\frac{3}{5}x)+4=\frac{1}{3}\times \frac{2}{5}x+4=\frac{2}{15}x+4

∴ Problems assigned for weekend are

\frac{3}{5}x+\frac{2}{15}x+4

⇒ \frac{11}{15}x+4

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alexira [117]
3√10 + 7√15 - 6√10 - 4√15
3√10 - 6√10 + 7√15 - 4√15
-3√10 + 3√15

The answer is B.
3 0
4 years ago
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7. If A = 2x + 3 and B = x^2 - 5x + 1, what is the value of A-5B?​
taurus [48]

Answer:

\huge \boxed{ \boxed{ \tt  - 5 {x}^{2}  + 27 x- 2}}

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • algebra
  • PEMDAS
<h3>given:</h3>
  • A=2x+3
  • B=x²-5x+1
<h3>to find:</h3>
  • A-5B
<h3>let's solve:</h3>

step - 1 : define

A-5B=2x+3-5(x²-5x+1)

step - 2 : solve

  1. distribute -5 to the parentheses:2x+3-5x²+25x-5
  2. rewrite:-5x²+2x+25x-5+3
  3. combine like terms:-5x²+27x-2

and

we are done

7 0
3 years ago
Given that XY is a line segment with the angle a = 46°, work out the value of the angle
Evgesh-ka [11]

Answer:

b = 44

Step-by-step explanation:

b + 90 + 46 = 180 (Supplementary Angles)

b = 180 - 90 - 46

b = 44

7 0
2 years ago
Sickle-cell disease is caused by a recessive allele. Roughly one out of every 500 African Americans (0.2%) is afflicted with sic
BabaBlast [244]

Answer:

heterozygous (Aa) are 0.085 = or 8.54%

Step-by-step explanation:

The heterozygous individuals are carriers of the sickle cell trait. They have a genotype of Aa and are represented by the 2pq term

in the H-W equilibrium equations.

According to the question 0.2% of the population is affected with sickle cell anemia, thus q^2

= 0.2% = 0.002 in decimal. So, q =

sqr(q^2)

or sqr(0.002) =

0.04472

and p + q = 1, thus p = 1 – q = 1 – 0.04472 = 0.96

Thus, A allele has a frequency of 0.96 and the a allele has a frequency of 0.04472. Therefore, the

percentage of the population that is heterozygous (Aa) and are carriers is = 2pq = 2× 0.04472× 0.96 =0.085 = or 8.54%

3 0
3 years ago
Write a rul for the sequence. Then find the unknown term<br> 3/10, 2/5 blank 3/5, 7/10
iren [92.7K]

Answer:

<u>The constant is to add 1/10 to the previous term, therefore the unknown term is 5/10 or 1/2.</u>

<u>And this is the rule:</u>

<u>aₙ = aₙ₋₁ + 1/10 ⇒ a₁ = 3/10</u>

Step-by-step explanation:

Let's find the unknown term and the sequence:

1st term = 3/10

2nd term = 2/5 = 4/10

3rd term = x

4th term = 3/5 = 6/10

5th term = 7/10

<u>As we can see the constant is to add 1/10 to the previous term, therefore the unknown term is 5/10 or 1/2.</u>

<u>And this is the rule:</u>

<u>aₙ = aₙ₋₁ + 1/10 ⇒ a₁ = 3/10</u>

a₂ = a₁ + 1/10 ⇒ a₂ = 4/10 = 2/5 (Simplifying)

a₃ = a₂ + 1/10 ⇒ a₃ = 5/10 = 1/2 (Simplifying)

a₄ = a₃  + 1/10 ⇒ a₄ = 6/10 = 3/5 (Simplifying)

a₅ = a₄ + 1/10 ⇒ a₅ = 7/10

6 0
3 years ago
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