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ra1l [238]
3 years ago
8

Question 3

Mathematics
2 answers:
Sergio [31]3 years ago
8 0

9514 1404 393

Answer:

  7x - 19 = x + 16

Step-by-step explanation:

Once you get over your aversion to "word problems", you find that the translation from English is not hard.

"Seven times a number" is 7x.

Nineteen less than that is 7x-19.

"16 more than the number" is x+16.

"Is" means "is equal to," so you have ...

  7x -19 = x +16 . . . . . . . matches the first choice

_____

<em>Additional comment</em>

The 11-digit number at the top is intended to impart an energy that may help with an aversion to word problems. The effect is subtle and often takes numerous repetitions over time.

Oksanka [162]3 years ago
6 0

Answer:

 7x - 19 = x + 16

Step-by-step explanation:

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Simplify 4(a−b)+6b PLZ
yaroslaw [1]

Expand

4a - 4b + 6b

Collect like terms

4a + (-4b + 6b)

Simplify

<u>4a + 2b</u>

7 0
4 years ago
A cylindrical tank holds 352 cu. ft. of water. The height of the tank is 7 ft. Find the
Rzqust [24]

Answer:

0.3334 ft

Step-by-step explanation:

Measure the height and radius of the tank. The radius is the distance from the center of the tank to its outer edge. Another way to find the radius is to divide the diameter, or width, by two. Square the radius by multiplying the radius times itself and then multiply it by 3.1416, which is the constant pi.

  1. Given height and volume: r = √(V / (π * h)),
  2. Given height and lateral area: r = A_l / (2 * π * h),
  3. Given height and total area: r = (√(h² + 2 * A / π) - h) / 2,
  4. Given height and diagonal: r = √(h² + d²) / 2,
  5. Given height and surface-area-to-volume ratio: r = 2 * h / (h * SA:V - 2),
  6. Given volume and lateral area: r = 2 * V / A_l,
  7. Given base area: r = √(A_b / (2 * π)),
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4 0
3 years ago
Which expression is equivalent to 36 + 81?
KonstantinChe [14]
The equivalent expression to 36 + 81 is 9(4 + 9).
8 0
4 years ago
Read 2 more answers
A certain drug treatment cures 90% of cases of hookworm in children.18 Suppose that 20 children suffer- ing from hookworm are to
Anni [7]

Answer:

Step-by-step explanation:

Here X the no of children suffering from hookworm treated and recovered is binomial because

a) Each child is independent of the other

b) There are only two outcomes

c) The probability for any child to recover is constant as 90% = 0.9

X is Bin (20,0.9)

a) Prob that all 20 will be cured

=P(X=20)=0.9^{20} \\=0.1216

b) Prob all but 1 will be cured=P(x=1) = 20C1 (0.9) (.1)^{19} \\=1.8(10^8)

c) Prob exactly 18 will be cured

=P(X=18)\\=20C18 (0.9)^{18} (0.1)^2\\= 0.2852

d) Prob exactly 90% will be cured.

=P(X=18)\\=20C18 (0.9)^{18} (0.1)^2\\= 0.2852

7 0
4 years ago
Find the value of c so that the polynomial p(x) is divisible by (x-3). p(x) =-x^3+cx^2-4x+3. c=?
Vilka [71]

Answer:

\boxed{\textsf {The value of c is $\sf \dfrac{-14}{3}$. }}

Step-by-step explanation:

A polynomial is given to us . We need to find the value of c so that it is divisible by (x-3 ) .The given polynomial to us is ,

\sf \implies p(x)=- x^3+cx^2-4x+3

And the factor is ,

\sf \implies g(x) = x + 3

Now , according to factor theorem , p(x) will be divisible by g(x) if p(-3) = 0

\sf \implies p(x)= - x^3+cx^2-4x+3 \\\\\implies\sf p(-3) = 0 \\\\\sf\implies -(-3)^3+c(-3)^2-4(-3)+3 = 0 \\\\\sf\implies 27 + 9c +12+3=0 \\\\\sf\implies 9c +42=0 \\\\\sf\implies 9c = (-42) \\\\\sf\implies c = \dfrac{-42}{9}\\\\\sf\implies \boxed{\pink{\sf c = \dfrac{-14}{3}}}

<h3><u>Hence </u><u>the </u><u>value </u><u>of </u><u>c </u><u>is </u><u>(</u><u>-</u><u>1</u><u>4</u><u>)</u><u>/</u><u>3</u><u> </u><u>.</u></h3>
4 0
3 years ago
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