Which is the solution to the equation solved for p? (q + p)q = (s + r)s

Answer:

8 people can go

Step-by-step explanation:

1/4+1/5+1/6=1/x

LCM = 60

15/60+12/60+10/60=1/x

37/60=1/x

37x=60

x=60/37=1.62, round =1.6

1.6 HOURS

The number of hours they would take them all working together is around 1.6 hours.

A ratio is the divide of the two variables and the lower variable known as the denominator should not be zero.

Given that laine takes 4 hours to complete work

In 1 hour Laine will do 1/4 part of the work.

In 1 hour Leslie will do 1/5 part of the work.

In a 1-hour Lance will do 1/6 part of the work.

so let's suppose all done work by x hours then

1/4 + 1/5 + 1/6 = 1/x

x =1.6 so all together done the work by 1.6 hours.

For more information about ratio and proportion.

https://brainly.com/question/26974513

#SPJ5

Answer:

cosine = adjacent/hypotenuse

cos A = 20/29   (choice: yellow)

Step-by-step explanation:

Answer:

yellow

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

You do 3159 ÷ 27

Comes out to 27

I found 27 by just plugging in numbers.

Hope this helps

Answer:

There are 27 students in the class.

Step-by-step explanation:

Since the total weight is 3,159 and the average weight is 117lb, you can just divide 3,159 by 117, which will give you 27.

Answer:

i got u fam!!!!!!!!!!!!!!!

its 15625

Step-by-step explanation:

Answer:

the yield is 7.68%

Step-by-step explanation:

The calculation of the yield is given  below:

we know that

Yield is

= Annual dividend ÷ Price per share

= $4.15 ÷ $54

= 7.68%

Here we divide the annual dividend by the price per share in order to determine the yield  

hence, the yield is 7.68%  

And, the same would be considered

Answer:

"35.84 years" is the appropriate solution.

Step-by-step explanation:

The given values are:

Rate of savings generation,

[tex]s'(t)=300e^{\frac{t}{20} }[/tex]

System cost to install,

= $30000

Now,

The total savings will be:

⇒  [tex]s(t)=\int\limits s'(t) \ dt[/tex]

On substituting the values, we get

⇒         [tex]= \int\limits 300e^{\frac{t}{20} } \ dt[/tex]

⇒  [tex]s(t)=\frac{300e^{\frac{t}{20} }}{\frac{1}{20} }+c[/tex]

When,

Savings = 0

t = 0, then

⇒  [tex]0=6000e^o+c[/tex]

⇒  [tex]c=-6000[/tex]

The formula will be:

⇒  [tex]s(t)=6000[e^{\frac{t}{20} }-1][/tex]

On putting the values in the above formula, we get

⇒  [tex]30000=6000(e^{\frac{t}{20} }-1)[/tex]

           [tex]5=e^{\frac{t}{20}}-1[/tex]

        [tex]e^{\frac{t}{20} }=6[/tex]

On taking log, we get

⇒  [tex]\frac{t}{20} =log \ 6[/tex]

      [tex]t=20 log 6[/tex]

        [tex]=35.84 \ years[/tex]  

Answer:

(2, 7) is not an ordered pair for the function.

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

The point slope form of equation of a line is expressed as;

[tex]y - y_{0} = m(x-x_0)[/tex]

m is the slope

(x₀, y₀) is the point on the line

Given

(x₀, y₀) = (1, 2)

Given the equation 3y = 2x - 4

Rewrite the equation

y = 2/3x - 4/3

mx = 2/3x

m = 2/3

The slope is 2/3

Substitute the slope and the point into the formula above

[tex]y -y_0 =m(x-x_0)\\y - 2 = 2/3(x - 1)\\3(y-2) = 2(x-1)\\3y - 6 = 2x - 2\\Swap\\2x - 2 = 3y - 6\\2x - 3y = -6 + 2\\2x - 3y = -4\\x - 3/2 y = -4/2\\x - 3/2 y= -2[/tex]

Compare the expression to x+(m+2)y=n−5

m + 2 = -3/2

m = -3/2 - 2

m = -7/2

Similarly

n - 5 = -2

n = -2 + 5

n = 3

m + n = -7/2 + 3

m + n = -1/2

hence the sum of m and n is -1/2

Answer:

58

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

90-32=58

Answer:

$9015.20

Step-by-step explanation:

A = 4000[1 + (.063/4)]^13·4

Answer:

3276

Step-by-step explanation:

4000(6.3*13)÷100

Answer:

4 right angles

Step-by-step explanation:

a straight light intersects  another straight line= creating 4 right angles

Answer:

b

Step-by-step explanation:

data from our experiment.....

Answer:

√49

Step-by-step explanation:

It's a perfect square root.

Please brainliest ;)

Answer:

D)

Step-by-step explanation:

It looks like the most sense

Answer:

(x1, y1) = (1, 3)

(x2, y2) = (4, 12)

Step-by-step explanation:

y= x^2 - 4

y= 5x - 8

(substitute the value for y)

x^2 - 4 = 5x - 8

(solve the equation)

x = 1

x = 4

(substitute the values)

y = 5 × 1 - 8

y = 5 × 4 - 8

(solve the equations)

y = -3

y = 12

( the possible solutions are)

x1, y1 = 1, -3

x2, y2 = 4, 12

(check the solutions)

-3 = 1^2 - 4

-3 = 5 × 1 - 8

12 = 4^2 - 4

12 = 5 × 4 - 8

(simplify)

-3 = -3

-3 = -3

12 = 12

12 = 12

(the ordered pairs are the solutions)

Answer:

-7x - 5

Step-by-step explanation:

Combine like terms.

Answer:

x = 2, y = - 25

Step-by-step explanation:

(1)

note that 36 = 6² , then

[tex]6^{x}[/tex] = 6²

Since bases on both sides are equal then equate the exponents

x = 2

------------------------------------------

(2)

Using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

note that 25 = 5² , then

[tex]25^{11+3y}[/tex] = [tex](5^2)^{11+3y}[/tex] = [tex]5^{22+6y}[/tex]

Then

[tex]5^{5y-3}[/tex] = [tex]5^{22+6y}[/tex]

Since bases on both sides are equal then equate the exponents

22 + 6y = 5y - 3 ( subtract 5y from both sides )

22 + y = - 3 ( subtract 22 from both sides )

y = - 25

Answer: S > 22

Step-by-step explanation:

Answer:

s = 23 and above

Step-by-step explanation:

2s + 5 > 49

      -5     -5

2s > 44

44/2

= 22

However, the answer for s is not 22

Since it has this sign > not ≥ then that means s = 23 and above

Check:

2(23) + 5 > 49

46 + 5 > 49

51 > 49

Answer:

They are both correcte

Step-by-step explanation:

Imagine a pizza with 6 slices

Half of 6 slices is 3 slices, or 3/6

If you simplify 3/6, you will get 1/2

So, both fractions are equal, but in different forms.

For better context see images below!

Answer:

Option D

A right angle

Step-by-step explanation:

in circle geometry, we have several theorems that govern angles formed by chords drawn in circles.

One of the theorems states that the angle subtended on the circumference of a circle by a chord which is drawn across the center of the circle (which is the diameter) equals 90 degrees. This means that it is a right-angle.

Analytically, we can also sketch out the problem and see that we can divide the shape formed by points BAC into an isosceles triangle. (The two radii forming the sides while the diameter forms the base).  We can also run a bisector of the isosceles triangle through point A to meet the diameter. We can see that it forms two 45 by 45 degree right-angled triangles. Thus proving that angle BAC is indeed a right angle.

Answer:

no but choose b if u don't know it it usually works for me sorry if I don't help :(

Answer:

y=-3x is the bottom right one

y=4x is the top middle

y=x-3 is the top right one

Step-by-step explanation:

Answer:

No x-intercepts

y-intercepts: (0,2)

Step-by-step explanation:

Answer:

with what?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

6.6%

Step-by-step explanation:

Answer:

Prism B has a larger base area

Step-by-step explanation:

Given

Base dimensions:

Prism A:

Lengths: 6cm, 8cm and 10cm

Prism B:

Lengths: 5cm and 5cm

Required [Missing from the question]

Which prism has a larger base area

For prism A

First, we check if the base dimension form a right-angled triangle using Pythagoras theorem.

The longest side is the hypotenuse; So:

[tex]10^2 = 8^2 + 6^2[/tex]

[tex]100 = 64 + 36[/tex]

[tex]100 = 100[/tex]

The above shows that the base dimension forms a right-angled triangle.

The base area is then calculated by;

Area = 0.5 * Products of two sides (other than the hypotenuse)

[tex]Area = 0.5 * 8cm * 6cm[/tex]

[tex]Area = 24cm^2[/tex]

For Prism B

[tex]Lengths = 5cm\ and\ 5cm[/tex]

So, the area is:

[tex]Area = 5cm * 5cm[/tex]

[tex]Area = 25cm^2[/tex]

By comparison, prism B has a larger base area because [tex]25cm^2 > 24cm^2[/tex]

Answer:

21

Step-by-step explanation:

We know that the sqaure root of 121 = 11.

So, A - 10 = 11

=> A = 21

Answer:

a = -1 or a = 21

Step-by-step explanation:

take square root of each side to get:

a - 10 = [tex]\sqrt{121}[/tex]

a - 10 = 11;  a = 21

a - 10 = -11;  a = -1

Answer:

C

Step-by-step explanation:

(c + 1)(c+1) = c² + c + c + 1 = c² + 2c + 1