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katen-ka-za [31]
2 years ago
15

When 42 is added to a number the result is 37 less than 7 times the number. what is the number ?

Mathematics
1 answer:
Ghella [55]2 years ago
3 0
The number is <span>14. hope this helped</span>
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A quiz consists of 20 multiple-choice questions, each with 5 possible answers. for someone who makes random guesses for all of t
blondinia [14]
N = 20, the number of questions
p = 1/5 = 0.2, the probability of making a correct guess
q = 1 - p = 0.8, the probability of making an incorrect guess.
Expected success  = 60% or 6 of 10.

From the binomial distribution,
P(6 of 10) = ₁₀C₆ p⁶q⁴
                 = 210*0.2⁶*0.8⁴ = 0.0055

Answer: 0.0055

7 0
3 years ago
Please do not do this for the points, it's rude and disrespectful. I really need help.
professor190 [17]

Answer:

1) A = -10, B = -4, distance = 6 units

2) Eqaution: 3(x+4) = 60

Tyler's age: 16 Samantha: 20

3) x < 1

Draw a number line from 1 towards left, with an open circle at x = 0

Step-by-step explanation:

1) A/2 = -5

A = -5×2 = -10

8 = -B/0.5

8×0.5 = -B

B = -4

Distance = -4 - (-10) = -4 + 10 = 6

2) S = 4 + x

3s = 60

3(4 + x) = 60

3S = 60 S = 20

4 + x = 20 x = 16

3) x/2 + ¼ < ¾

x/2 < ¾ - ¼

x/2 < ½

x < 1

Draw a number line going towards left from 1, with an open circle at x=1 because x=1 is not included

7 0
2 years ago
2x+4-4=10-4<br> is this correct<br><br> <img src="https://tex.z-dn.net/?f=%5C%5C%20%5Cleq" id="TexFormula1" title="\\ \leq" alt=
OLga [1]

Answer:

yes the correct answer is what you chose

Step-by-step explanation:

the left side 4 is less than the right side 6

3 0
2 years ago
Which of the following systems of inequalities would produce the region
Debora [2.8K]

Answer:

Step-by-step explanation:

Neither blue plot line is dashed, so we eliminate any equation that contains the symbols "<" or ">". Remove A and C

B and D (actually all options) have y ≤ -x + 4 which is a line with slope -1 any y intercept 4. This represents the area below the line running from (0, 4) to (4, 0)

Which leaves us to select from y ≥ x + 2 for option B or y ≤ x + 2 for option D

As the shaded area is <em>below</em> the line we choose <u>option D</u>

<em />

4 0
2 years ago
Help!!<br> solve x+2/3-x+1/5=x-3/4-1
Elodia [21]

Answer:

The answer to the expression (x+2/3-x+1/5=x-3/4-1) is  x=\frac{28}{5}

Step-by-step explanation:

x+\frac{2}{3}-x+\frac{1}{5}=\frac{x-3}{4-1}\quad :\quad x=\frac{28}{5}\quad \left(\mathrm{Decimal}:\quad x=5.6\right)

x+\frac{2}{3}-x+\frac{1}{5}=\frac{x-3}{4-1}

\mathrm{Group\:like\:terms}\\x-x+\frac{2}{3}+\frac{1}{5}=\frac{x-3}{4-1}

\mathrm{Add\:similar\:elements:}\:x-x=0\\\frac{2}{3}+\frac{1}{5}=\frac{x-3}{4-1}

\mathrm{Least\:Common\:Multiplier\:of\:}3,\:5:\quad 15\\\mathrm{Prime\:factorization\:of\:}3:\quad 3\\\mathrm{Prime\:factorization\:of\:}5:\quad 5

\mathrm{Multiply\:each\:factor\:the\:greatest\:number\:of\:times\:it\:occurs\:in\:either\:}3\mathrm{\:or\:}5\\=3\cdot \:5\\\mathrm{Multiply\:the\:numbers:}\:3\cdot \:5=15\\=15

\\\\\\\frac{2}{3}=\frac{2\cdot \:5}{3\cdot \:5}=\frac{10}{15}\\\\\frac{1}{5}=\frac{1\cdot \:3}{5\cdot \:3}=\frac{3}{15}\\

\frac{10+3}{15}=\frac{x-3}{4-1}

\mathrm{Add\:the\:numbers:}\:10+3=13\\\frac{13}{15}=\frac{x-3}{4-1}

13\left(4-1\right)=15\left(x-3\right)

39=15\left(x-3\right)\\15\left(x-3\right)=39\\\mathrm{Divide\:both\:sides\:by\:}15\\\frac{15\left(x-3\right)}{15}=\frac{39}{15}\\x-3=\frac{13}{5}\\x-3+3=\frac{13}{5}+3 = \frac{28}{5}

Hope this helps!

Have a good morning. And happy Monday!

3 0
3 years ago
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