The sum of two numbers is 91. The greater number is 7 more than the smaller number. Which equation can be used to solve for the smaller number?

x(x + 7) = 91
x(x − 7) = 91
x + (x + 7) = 91
x − (x + 7) = 91

Answer:

The  probability   [tex]P(\^ p > 0.80) = 0.99957[/tex]

Step-by-step explanation:

From the question we are told that

     The population proportion is  p  =  0.90

     The sample size is  n  =  30

  Generally mean of the sampling distribution is  [tex]\mu_{\= x } = p = 0.90[/tex]

Generally the standard deviation is mathematically represented as

      [tex]\sigma = \sqrt{\frac{p( -p )}{n} }[/tex]

=>    [tex]\sigma = \sqrt{\frac{0.90( 1 -0.90 )}{100} }[/tex]

=>    [tex]\sigma = 0.03[/tex]

Generally the he probability that the proportion surviving for at least five years will exceed 80%, rounded to 5 decimal places is mathematically represented as

       [tex]P(\^ p > 0.80) = P(\frac{ \^ p - p }{ \sigma } > \frac{0.80 - 0.90}{0.03} )[/tex]

Generally [tex]\frac{\^p - p}{\sigma} = Z(The standardized \ value \ of \^ p)[/tex]

So  

    [tex]P(\^ p > 0.80) = P(Z > -3.33 )[/tex]

From the z-table [tex]P(Z > -3.33 ) = 0.99957[/tex]

So

    [tex]P(\^ p > 0.80) = 0.99957[/tex]

Answer:

x > -17/6 or x < -1/2

Step-by-step explanation:

4 |3x + 5| + 20 > 6

4 |3x + 5| > -14

|3x + 5| > -14/4

This is where the two equations split.

+:

3x + 5 > -14/4

3x > -17/4

x > -17/6

-:

- (3x + 5) > -14/4

3x + 5 < 14/4

3x < -3/2

x < -1/2

Supposedly these are your answers, but if I'm incorrect, please let me know. I don't see an option for you on that picture though.

Answer:

0.2379

Step-by-step explanation:

Answer:

0.2379

Step-by-step explanation:

Khan

Answer:ABCD and ABEC are parallelograms because they both have a pair of parallel lines.

DCE AND CEB are congruent angels

Answer:

Neither

Step-by-step explanation:

Hope this helps!

Answer:

meme

how bout that

If x/ -8 = -3,

Just multiply by -8 on both sides.

x = 24

Hope this helps!

If x/ -8 = -3,

Just multiply by -8 on both sides.

x = 24

Hope this helps!

Answer:

13x + 5= -12

hope this helps :)

Answer:

21 yard line

Step-by-step explanation:

Ok we start out on the 20 yard line, we need to add the yards together.

We add the 6 to the 20:

20+6=26

Then we subtract the 8 yards from our new 26:

26-8=18

Then we add the 18 by 3:

18+3=21

Therefore,

The Answer is 21 Yard Line.

Hope I could help, If you need some more assistance ask me!

Answer:

2 yard

Step-by-step explanation:

hola soy dora

Answer:

its point D hope this helps :)

Answer:

9/15

Step-by-step explanation:

because you would divide 15 by 5 and get 3 and then you would multiply the 3 by 3 and get 9.

Answer:

9/15

Step-by-step explanation:

you write the fraction 3/5 then you divide 5 by 15 you'll get 3 then 3×3 it will be 9 which is the denominator

Answer:

I think x=8

Step-by-step explanation:

5(x+7)+15=90

90 because it's a 90 degree angle

5x+35+15=90

5x+50=90

5x=40

x=8

Answer:

Step-by-step explanation:

For us to be able to determine the polynomials that are divisible by (x-1), this means that x-1 must be a factor for the functon to be able to divide any of the polynimial.

Since x-1 is a factor, we can get the value of x

x-1 = 0

x =0+1

x = 1

Next is for to substitute x - 1 into the polynomial and see the ones that will give us zero

For A(x)=3x^3+2x^2-x

A(1) = 3(1)^3+2(1)^2-(1)

A(1) = 3+2-(1)

A(1) = 5-1

A(1) = 4

Since A(1) ≠ 0, then x-1 is not divisible by the polynomial function.

For B(x)=5x^3-4x^2-x

B(1)=5(1)^3-4(1)^2-1

B(1)=5-4-1

B(1)=1-1 = 0

Since B(1) = 0, hence x-1 is divisible by 5x^3-4x^2-x

For the polynomial  C(x)= 2x^3-3x^2+2x-1

C(1)=2(1)^3-3(1)^2+2(1)-1

C(1)=2-3+2-1

C(1)= -1+1

C(1)= 0

Since C(1) = 0, hence x-1 is divisible by the

For the polynomial D(x)=x^3+2x^2+3x+2

D(1)=1^3+2(1)^2+3(1)+2

D(1)=1+2+3+2

D(x) = 8

Hence the polynomial D(x) is not divisible by x-1

Hence the correct options are B(x)=5x^3-4x^2-x and 2x^3-3x^2+2x-1

Answer:

B(x) and C(x)

Step-by-step explanation:

Answer:

Tc=3x+(x-7)

Step-by-step explanation: So, the Tc stands for total cost. The x stands for the variable for the hardback books and the x-7 is the price of the paperback book. You could introduce another variable, but that might be more confusing

Answer:

The answer is 0.

Explanation:

2/3 x 0 = 0

0 x -3 = 0

I hope it helps you...

Answer:

Step-by-step explanation:

[(3/2)⁰]⁻³

apply the exponent rule: (aᵇ)ˣ = aᵇˣ, a≥0

= (3/2)⁰ ⁽⁻³⁾

note that 0 * (-3) = 0 so,

=(3/2)⁰

apply exponent rule: a⁰ = 1, a≠0

= 1

Answer:12

Step-by-step explanation:

count you fingers. Easy XD

Answer:

4+8=12

Step-by-step explanation:

If you use your fingers and count

Answer:A

Step-by-step explanation: In exponents,

a

1

m

=

m

√

a

Hence

x

1

2

=

2

√

x

The answer is D, [tex]\sqrt2[/tex]

If you found this answer helpful, I strongly recommend marking me as Brainliest!

Answer:

x=55

Step-by-step explanation:

(2x+6)+(x+9)=3x+15

3x+15=180

3x=165

x=55

Answer:

Length = 4 times width

Area = length * width

=(4w)w

=4w²

So 4w²=1024 cm² (given)

w²=1024/4=256

w=√(256 cm²)

=16 cm (reject negative value of square-root)

Step-by-step explanation:

Hope this helps you

Crown me as brainliest:)

Answer:

The number that she will substitute is 7

Step-by-step explanation:

Mathematically, simple interest can be calculated using the formula ;

S.I = PRT/100

where P is the principal which is the amount invested = $12,876

T is the time which is 3 years

and R is the rate which is 7%

Answer:

Answer:

The number that she will substitute is 7

Step-by-step explanation:

i just took he test

9514 1404 393

Answer:

  C)  √3

Step-by-step explanation:

Treating this as a geometry problem, not a fluid dynamics problem, we assume the area of the smaller vessels must total that of the larger one. Then the ratio of areas of the smaller vessels to the larger one is 1/3. The ratio of radii is the square root of that: 1/√3.

Then the radius of the smaller arteries must be ...

  (3 mm)(1/√3) = √3 mm

Answer:

19 days

Step-by-step explanation:

305 - 115 = 190

190 ÷ 10 = 19

Answer:

C. Angle MNP

Step-by-step explanation:

Check the corresponding equal sides with congruent angles

Answer: Third choice. [tex]\angle MNP[/tex]

=======================================================

Explanation:

We want to find something congruent to angle ABC.

With angle ABC, we have

The order is important.

Looking at the triangle on the right, we see that

The sequence of arc markings can be written as 3,1,2

Now focus your attention on the triangle on the left. Start with the triple arc angle, move to the single arc angle, then go to the double arc angle. You should trace out M, N then P in that exact order.

Therefore [tex]\angle ABC \cong \angle MNP[/tex]

Note how M is first, N is second, then P is third.

This lets us form these pairs of congruences

Answer:

1.34 times the length of Noah's bike ride

Step-by-step explanation:

634/472

1.34322033898

1.34

1.34 times the length of Noah's bike ride

Answer:

1/2020

Step-by-step explanation:

We can set up an equation, where x is the number that, when divided by itself, is 2020 times itself:

x/x = 2020*x

The left-hand side reduces to 1:

1 = 2020*x

Now, you can divide both sides by 2020:

x = 1/2020

To check, we can divide 1/2020 by itself:

[tex]\frac{\frac{1}{2020}} {\frac{1}{2020}} = \frac{1}{2020}\cdot \frac{2020}{1} = \frac{2020}{2020} = 1[/tex]

1 is indeed 2020 times 1/2020.

We have that

x=4.95*10^{-4}

From the question we are told

What is the only real number which, when divided by itself, is 2020

times itself

Generally the equation for the statement  is mathematically given as

[tex]\frac{x}{x}=2020*x\\\\1=2020*x\\\\x=\frac{1}{2020}\\\\x=4.95*10^{-4}[/tex]

Hence

the only real number which, when divided by itself, is 2020

times itself is

[tex]x=4.95*10^{-4}[/tex]

For more information on this visit

https://brainly.com/question/23366835

Answer:

r=-2.00000

s=2.00000