The sum of three different positive integers is 7. What is the product of these three
integers?​

THE CORRECT ANSWER IS OPTION ( B )

Answer:

±5 sqrt(2) =x

Step-by-step explanation:

50 – x^2 = 0

Add x^2 to each side

50 = x^2

Take the square root of each side

±sqrt(50) = sqrt(x^2)

±sqrt(25*2) = x

±sqrt(25)sqrt(2)=x

±5 sqrt(2) =x

Answer:

If you have to choose an alternative, it is C. [tex]x=5\sqrt{2}[/tex] is one of the solutions/roots of the quadratic equation, but the correct answer is actually [tex]x= \pm 5\sqrt{2}[/tex].

Step-by-step explanation:

[tex]50-x^2 = 0 \Rightarrow x^2=50[/tex]

[tex]x= \pm \sqrt{50}[/tex]

Once [tex]\sqrt{50} =\sqrt{2\cdot5\cdot 5}= 5\sqrt{2}[/tex]

[tex]x= \pm 5\sqrt{2}[/tex]

Answer:

13.5

Step-by-step explanation:

area: 1/2*[x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)]

Answer:

-64

Step-by-step explanation:

When given two points we can use the slope formula

m = (y2-y1)/(x2-x1)

   = (-7 -57)/(38-37)

    =-64/1

  = -64

Answer:

15

Step-by-step explanation:

Pythagorean Theorem:

12^2+9^2=x^2

144+81=x^2

x=15

Answer:

15

Step-by-step explanation:

Using the Pythagorean theorem, or knowing that pythagorean triangles are can be scaled up/down, we know that this triangle is similar to the "3 4 5 egyptian triangle" Therefore x would be 15, as the sides are 3x the sides of the 345 triangle. we can prove this with sqrt(81 + 144) = sqrt(225) = 15

Answer:

A, B, and C

Step-by-step explanation:

By substituting each of the ordered pairs into the equation you can determine that A, B and C all satisfy the equation.

Answer: C, It stays the same.

Step-by-step explanation: If you simplify the ratio (the fraction) by canceling the t's, you get 2/1 or 2:1. This means that no matter the value of the variable t, the value of the expression will stay the same.

Answer:

08, 15, 17

Step-by-step explanation:

Use the Pythagorean theorem.

Where the sum of both legs squared is equal to the hypotenuse squared.

8² + 15² = 17²

64 + 225 = 17²

289 = 17²

289 = 289

The side lengths that represent Pythagorean triplets are 08, 15, 17.

Answer:

C. 8, 15, 17

D. 10, 24, 26

F. 28, 45, 53

Step-by-step explanation:

Step-by-step explanation:

for number 4:

2x + 5y = -10

2x - y = 8

subtract it

6y = -18

y = 6/-18

y = -0.3

now go back to the first equation

2x + 5 x -0.3 = -10

2x -1.5 = -10

2x = -8.5

-4.25

x = -4.25, y = -0.3

hope this help

Answer:try to answer the rest on your own and if it is not clear, let me know

Step-by-step explanation:

Answer:

[tex]25x^{10}[/tex]

Step-by-step explanation:

[tex](5x^5)^2\\\\\text {Apply Rule: }(a*b)^n=a^n b^n\\\\(5x^5)^2=5^2(x^5)^2\\\\25(x^5)^2\\\\\text {Apply rule: } (a^b)^c=a^{bc}\\\\25(x^5)^2=\boxed{25x^{10}}[/tex]

Answer:

36

Step-by-step explanation:

First we need to write out some of the common multiples of 4 and 6.

12, 24, 36

The number 36 is between 25 and 45 so it is our answer

Answer:

Okay so he had to withdraw 28.50 from his bank account every week so that means he withdrew 142.5 that in 5 weeks

Step-by-step explanation:

Answer:

x² can be written as (3.8 * 10⁵)² = 3.8² * 10⁵ * ² = 14.44 * 10¹⁰.

x² / y = 14.44 * 10¹⁰ / 5.9 * 10⁴ ≈ 2.45 * 10⁶

Answer:

The found values are:

μ = 8

σ = 2

Step-by-step explanation:

Following data is given in the question:

p = 0.5

n = 16

Consider that it follows binomial distribution:

For binomial distribution, the mean is the product or probability 'p' and and the sample size 'n' :

μ = p · n

μ = 0.5 · 16

μ = 8

For binomial distribution, the standard deviation is the square root of product of sample size 'n' and the probabilities 'p' and 'q'.

σ = √(n·p·q)

where q = 1 - p = 1 - 0.5 = 0.5

σ = √(16 · 0.5 · 0.5)

σ = √4

σ = 2

Answer:

The value of the expression given is:

Step-by-step explanation:

First, you must divide the expression in three, and to the final, you can multiply it:

Now, we can solve each part one by one:

First part.

And we elevate this to -2:

Second part.

And we elevate this to 4:

Third Part.

At last, we multiply all the results obtained:

We approximate the value because the difference to 4 is minimal, which could be obtained if we use all the decimals in each result.

Answer:

[tex]\Huge \boxed{\mathrm{4}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]\displaystyle \sf (3^8 * 2^{-5} * 9^0)^{-2} * (\frac{2^{-2}}{3^3 } )^4 *3^{38}[/tex]

Distributing the power of -2 to the parenthesis,

[tex]\displaystyle \sf (3^{-16} * 2^{10} * 9^0)* (\frac{2^{-2}}{3^3 } )^4 *3^{38}[/tex]

Distributing the power of 4 to the fraction,

[tex]\displaystyle \sf (3^{-16} * 2^{10} * 9^0)* (\frac{2^{-8}}{3^{12} } )*3^{38}[/tex]

Multiplying,

[tex]\displaystyle \sf \frac{3^{-16} * 2^{10} * 9^0* 2^{-8} *3^{38}}{3^{12} }[/tex]

Simplifying,

[tex]\displaystyle \sf \frac{2^2 *3^{22}}{3^{22} }[/tex]

[tex]\sf 2^2 =4[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

Step-by-step explanation:

Well, first you'd have to get the equations in slope-intercept form in order to make it easier for you to see it in the bigger picture. 2x+y=4 would be y= 2x-4, and the other equation would be y= x-3. If you were to solve it, there would be one solution since the y's cancel out. If you graphed it, there would be a point of intersection, unlike when the lines are parallel if there's 0 solutions or only one line's there if there's infinitely many solutions.

Answer:

shane is 120 pounds and johnny is 150 pounds

Step-by-step explanation:

shane 120  and johnny gains weight 60 pounds so 120 plus 60 that is both of the together is 180  hope this helps you i think they maybe  be the same weight because together they are more  

Answer:

No, Shane will be heavier

Step-by-step explanation:

120 > 150

120 + 60= 180

180 > 150

Answer:$140 for the train ride

$84 for the museum

Step-by-step explanation:

28×5

28×3

All the students + you = 28

If not, try 27×5 and 27×3

Answer:

Step-by-step explanation:

There are two values to find and add together.

o The admission cost for the Museum

o The admission cost for the Train Ride

Let's make some equations.

x=number of people

Museum: 3x=total cost for Museum (m)

Train Ride: 5x=total cost for Train Ride (t)

m+t= total money spent

Now, let's replace the values.

Museum: 3(27)=$81

Train Ride: 5(27)=$135

$81+$135=$216 for the Train Ride and visit to the Museum.

Hope this helps!

-Emma

Answer:

first y then x because y represents 22 and x represents 4 a week.

Answer:

88

Step-by-step explanation:

hello,

we need to replace x by 6 and y by -10 so it comes

3*(6)-7*(-10)

= 18 + 70 = 88

hope this helps

Answer:

Given,

X=6

y=-10

[tex]3x - 7y \\ = 3 \times x - 7 \times y \\ = 3 \times 6 - 7 \times ( - 10) \\ = 18 - ( - 70) \\ = 18 + 70 \\ = 88[/tex]

Hope this helps...

Good luck on your assignment..

Step-by-step explanation:

[tex]a) \\ (8 \times {10}^{ - 3} ) \times (2 \times {10}^{ - 4} ) \\ = 8 \times 2 \times {10}^{ - 3} \times {10}^{ - 4} \\ = 16 \times {10}^{ - 3 - 4} \\ = 16 \times {10}^{ - 7} \\ = 1.6 \times {10}^{ - 6} \\ \\ b) \\ (6 \times {10}^{ 2} ) \div (3\times {10}^{ - 5} ) \\ \\ = \frac{6 \times {10}^{ 2}}{3\times {10}^{ - 5}} \\ \\ = \frac{2\times {10}^{ 2}}{ {10}^{ - 5}} \\ \\ = 2 \times {10}^{ 2 + 5} \\ \\ = 2 \times {10}^{7} \\ [/tex]

Answer:

a) Area of △ABC= 78.8cm² (3 s.f.)

b) AB= 17.3cm (3 s.f.)

c) h= 9.09cm (3 s.f.)

Step-by-step explanation:

Please see the attached picture for full solution.

Answer:

D

Step-by-step explanation:

the x coordanate length is 9, because | -4-5 | = 9

and the y coordanate is 13 becasue | -7 - 6 | = 13

Then you do [tex]a^{2}+b^{2} = c^{2}[/tex] which equals 5√10 or approximately 15.81139 which rounds to 15.81

Answer:

3b + 3c

Step-by-step explanation:

hope this helps you

Answer:

3(c+b)

Step-by-step explanation:

3(b+c) is essentially 3 times B+ 3 times c

and 3(c+b) is 3 times c + 3 times B

Answer: 0.0013684

Step-by-step explanation:

Given the following :

Probability (p) = 49% = 0.49

Number of selected adults (n) = 30

Find the probability that exactly 23 use their smartphone.

The problem is abive can be solved using the binomial probability function.

Binomial probability :

P(X = x) = [n! / x! (n-x)!] * P^x * (1 - P)^(n-x)

At x = 23

P(X = 23) = [30! / 23! (30-23)!] * P^23 * (1-0.49)^(30-23)

P(X = 23) = [30! / 23! (7)!] * 0.49^23 * (0.51)^7

P(X =23) = (2035800) × 6.72203E−10

= 0.0013684

Answer:

hi

Step-by-step explanation:

Answer:

28 points

Step-by-step explanation:

A touch down is 6 points and an extra point is 1 point

There are 4 quarters

6+1 = 7

4 quarters

4*7 = 28

They scored 28 points

Answer:

78.375 miles per hour = R

Step-by-step explanation:

D= RT

The miles are 313.5 which is D and the time is 4 hours

313.5 = R * 4

Divide each side by 4

313.5/4 = R

78.375 miles per hour = R

Answer:

In order to give the same value for money as Tim's idea, Jane has to reduce the price by 25%

Step-by-step explanation:

The given  parameters are;

Cost of each box of breakfast cereal = 3 pounds

Amount of cereal in each box of breakfast cereal = 160 g

160 g of cereal = 100%

25% of one box of cereal = 25% of 160 g = (25/100)×160 g= 40 g

Given that Jane wants her idea to give the same value of money as Tim's idea, we have;

160 g of cereal costs 3 pounds

1 g of cereal will cost 3/160 pounds

40 g of cereal will cost 40*3/160 = 3/4 pounds

Therefore, the percentage 3/4 pound is of 3 pounds = [tex]\dfrac{\frac{3}{4} }{3} \times 100 = 25 \%[/tex]

Which gives, Jane has to reduce the price by 25% to give the same value for money as Tim's idea.

To give the same value of money as Tim's idea, she need to reduce the price by 20%.

Given that:

Cost of one box of breakfast cereal is 3 pounds.

Weight of 1 box of cereal is 160g.

Tim's idea is to put 25% more cereal.

Let Jane's idea is to reduce price by x pounds such that the value of the item is same as that after applying Tim's idea.

Value in case of Tim's idea:

[tex]160g + \dfrac{160 \times 25}{100} \: \: in \: \: 3 \: pounds\\\\200g \: \: in \: \: 3 pounds\\1g \: \: in \: \: \dfrac{3}{200} \: pounds[/tex]

Value in case of Jane's idea:

[tex]160g \: \: in \: \: (3-x) \: pounds\\\\1g \: \: in \: \: \dfrac{(3-x)}{160} \: pounds\\[/tex]

Since values have to stay same, thus we have:

[tex]\dfrac{3}{200} = \dfrac{3-x}{160}\\\\\dfrac{12}{5} = 3-x\\\\5x = 3\\\\x = \dfrac{3}{5}\\\\x = 0.6 \:pounds[/tex]

To calculate percentage, we can do as follows:

[tex]\begin{aligned}percentage &= \dfrac{x \times 100}{3}\\&= \dfrac{60}{3}\\&= 20\end{aligned}[/tex]

Thus,  to give the same value of money as Tim's idea, she need to reduce the price by 20%.

Learn more here:

https://brainly.com/question/8011401

Answer:

I believe Isaac Newton did with a formula.

gravity(F=Gm1m2/ r2)

Hope this helps

Step-by-step explanation:

Answer:

Isaac Newton was the first man to do so.

Step-by-step explanation:

gravity(f=gm=1m2/ r2)