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3 years ago

Write mathematical sentence for: Sixteen is less than one more than a number

Mathematics

1 answer:

ollegr [7]3 years ago

5 0

Answer:

16<n+1

Step-by-step explanation:

Word by word... it ends with this equation..

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Solve for the unknown variable 2/5(3x-4)=-4

Elanso [62]

Answer:

x = -2

Step-by-step explanation:

Solve for x:

(2 (3 x - 4))/5 = -4

Multiply both sides of (2 (3 x - 4))/5 = -4 by 5/2:

(5×2 (3 x - 4))/(2×5) = -4×5/2

5/2×2/5 = (5×2)/(2×5):

(5×2)/(2×5) (3 x - 4) = -4×5/2

5/2 (-4) = (5 (-4))/2:

(5×2 (3 x - 4))/(2×5) = (-4×5)/2

(5×2 (3 x - 4))/(2×5) = (2×5)/(2×5)×(3 x - 4) = 3 x - 4:

3 x - 4 = (-4×5)/2

(-4)/2 = (2 (-2))/2 = -2:

3 x - 4 = 5×-2

5 (-2) = -10:

3 x - 4 = -10

Add 4 to both sides:

3 x + (4 - 4) = 4 - 10

4 - 4 = 0:

3 x = 4 - 10

4 - 10 = -6:

3 x = -6

Divide both sides of 3 x = -6 by 3:

(3 x)/3 = (-6)/3

3/3 = 1:

x = (-6)/3

The gcd of -6 and 3 is 3, so (-6)/3 = (3 (-2))/(3×1) = 3/3×-2 = -2:

Answer: x = -2

6 0

3 years ago

Read 2 more answers

25% of American households have only dogs (one or more dogs) 15% of American households have only cats (one or more cats) 10% of

sergeinik [125]

Answer:

a) P=0.2503

b) P=0.2759

c) P=0.3874

d) P=0.2051

Step-by-step explanation:

We have this information:

25% of American households have only dogs (one or more dogs)

15% of American households have only cats (one or more cats)

10% of American households have dogs and cats (one or more of each)

50% of American households do not have any dogs or cats.

The sample is n=10

a) Probability that exactly 3 have only dogs (p=0.25)

$P(x=3)=\binom{10}{3}0.25^30.75^7=120*0.01563*0.13348=0.25028$

b) Probability that exactly 2 has only cats (p=0.15)

$P(x=2)=\binom{10}{2}0.15^20.85^8=45*0.0225*0.27249=0.2759$

c) Probability that exactly 1 has cats and dogs (p=0.1)

$P(x=1)=\binom{10}{1}0.10^10.90^0=10*0.1*0.38742=0.38742$

d) Probability that exactly 4 has neither cats or dogs (p=0.5)

$P(x=4)=\binom{10}{4}0.50^40.50^6=210*0.0625*0.01563=0.20508$

8 0

3 years ago

Use set notation to denote the elements, subsets, and complements of the following given sets.

vlabodo [156]

Answer:

N = {13, 15, 17, 19} is the correct answer.

Step-by-step explanation:

We are given with the following details:

N is the set of odd natural numbers.

N contains the elements which are greater than 11 and less than 21.

To write: The set notation for the elements of set N.

Solution:

First of all, let us see what are odd natural numbers.

Natural numbers are the positive integers i.e. {1,2,3,4, ........ }

Odd Natural numbers are the natural numbers which leave remainder as 1 when divided by 2 i.e. {1,3,5,7,9,11,13, ...... 21, 23, 25, 27.....}

Here, set N is odd natural numbers greater than 11 (so 11 will not be included) and less than 21 (so 21 will not be included). Odd natural numbers between 11 and 21 will be included.

So the answer will be N = {13,15,17,19}.

7 0

3 years ago

Can anyone help me with 9th-grade geometry?

katovenus [111]

Answer:

See below.

Step-by-step explanation:

From the given info the 2 triangles are isosceles with AE = FR and ET = RP because the 2 sets of base angles are equal.

As the base angles are congruent m < E = m < R.

So the are 2 triangles are congruent by SAS, ASA and AAS.

7 0

3 years ago

2x1x2x2 order of operations

VMariaS [17]

8? I mean its kind of a guess

4 0

3 years ago

Read 2 more answers