a closed rectangular tank measures 12 meters by 6 meters by 10 metersfind the surface area of the shape

Answer:

The smaller number is 23.

The bigger number is 131.

Step-by-step explanation:

"difference" means subtraction. In this question "more than" means adding. This can be done with one variable. And would take more reasoning with the meaning of the words, but less complicated algebra.

If you are learning systems of equations in high school or college, then you may want to use two variables. The set up is way more straight forward. But then you also need strategies to solve a system of equations.

There are two solutions attached. You only need one that matches the math you are studying. see images.

Answer:

Step-by-step explanation:

Ratio = 7 : 5

Numbers are 7x , 5x

[tex]\dfrac{7x-2}{5x-2}=\dfrac{3}{2}\\\\\\[/tex]

Cross multiply,

2*(7x - 2) = 3*(5x -2)

2*7x - 2*2 = 3*5x - 3*2

14x - 4       = 15x - 6    

14x - 4 + 6 = 15x   {Add 6 to both sides}

14x  + 2      = 15x

            2    = 15x - 14x       {Subtract '4x' from both sides}

   x = 2

7x = 7*2 = 14

5x = 5*2 = 10

Numbers are 14 , 10  

Answer:

C.

Step-by-step explanation:

16 cm² + 9 cm² = 25 cm²

5 cm × 5 cm = 25 cm²

Hey there!

2x^2 - 5 / x + 9

= 2(-1)^2 - 5/ -1 + 9
= (2(-1)^2 - 5) / (-1 + 9)

= (2(1) - 5) / 8

= (2 - 5) / 8

= -3 / 8

≈ -0.375

Therefore, your answer is:

-3/8 OR -0.375

EITHER OF THOSE SHOULD WORK BECAUSE THEY ARE EQUIVALENT TO EACH OTHER!

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

no and they need 936 more dollars

Step-by-step explanation:

Answer:

They need to work 16 days before they get paid.

Step-by-step explanation:

40/2.5=16

Answer:

Slope m = [tex]\frac{5}{8}[/tex]

Step-by-step explanation:

[tex]x_{1}=-6\\ y_{1}=-4\\\\x_{2}=2\\y_{2}=1\\\\[/tex]

def. of slope = rise over run

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{2}}[/tex]

so:

[tex]\frac{1-(-4)}{2-(-6)} = \frac{1+4}{2+6} = \frac{5}{8}[/tex]

We get [tex]\frac{5}{8}[/tex] as our slope

The slope of the line in the graph is 5/8.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

As we observe the graph the line is passing from points (-6, -4) and (2, 1)

Slope = 1+4/2+6

=5/8

Hence, the slope of the line in the graph is 5/8.

To learn more on slope of line click:

https://brainly.com/question/16180119

#SPJ7

Answer:

8.1

Step-by-step explanation:

Formula for volume of cube. V = Volume and A = Edge.

[tex]V=a^{3}[/tex]

[tex]a=\sqrt[3]{v}[/tex]

Therefore we have.

[tex]528=a^{3}[/tex]

[tex]a=\sqrt[3]{528}[/tex]

We have to use the cube root function.

The cube root of (n) is the same as (n) raised to the 1/3 power.

n = a number

[tex]a=v^{\frac{1}{3} }[/tex]

So then we have.

[tex]528^{\frac{1}{3} } =a[/tex]

[tex]a=8.08248004[/tex]

Round to 1 decimal place.

[tex]a=8.1[/tex]

Answer:  approximately 7525 feet

A more accurate value is 7,524.6679636332 feet, but even that isn't fully exact.

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

Explanation:

The change in height, or delta height value, is 11200-9000 = 2200 which is the vertical component of the right triangle shown below. This side is opposite the reference angle, aka the angle of elevation 17°

The hypotenuse is x, which is the length of the trail. Assume we're dealing with a flat and straight surface. Of course realistically the ground is very likely going to be bumpy with various curved complexities; but we'll simplify things greatly.

We'll use the sine ratio to find x.

sin(angle) = opposite/hypotenuse

sin(17) = 2200/x

x*sin(17) = 2200

x = 2200/sin(17)

x = 7,524.6679636332

Assuming your teacher wants you to round to the nearest whole number, then we'd get to 7525 feet

We need Hypotenuse

[tex]\\ \rm\rightarrowtail sin\theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\\ \rm\rightarrowtail sin17=dfrac{2200}{h}[/tex]

[tex]\\ \rm\rightarrowtail h=2200/sin17[/tex]

[tex]\\ \rm\rightarrowtail h=2200/0.2923[/tex]

[tex]\\ \rm\rightarrowtail h=7526.51ft[/tex]

Answer:

Step-by-step explanation:

Answer:

41.60

Step-by-step explanation:

[tex]\sqrt{108}[/tex]=10.39230485=10.40

10.40+10.40+10.40+10.40=41.60

10.40*2=20.80

[tex]20.80^{2}[/tex]=432.64

Answer:

etermine the form of each augmented matrix: 4 0 0 11 2 -5 8 0-2 -6 7 3 1 0 0 0 1 0 0 0 1 -6 ... - did not match any news results.

Step-by-step explanation:

Answer:

I got this right on edg 22

Step-by-step explanation:

first one : Row Echelon Form

second one : Reduced Row Echelon Form

third one : Neither

i don't understand, what is it asking for here?

Answer:

34

Step-by-step explanation:

15+6=21

21+5=26

26+8=34

Answer:

675 packages

Step-by-step explanation:

You multiply 15 x 45 to get 675

if 1 treat per 15 bags is correct

Answer:

55°

Step-by-step explanation:

Let's start by finding "y" (see diagram attached).

Using the given diagram, we can conclude that the angle measuring 125° and angle y are a linear pair or supplementary. This means that they add up to 180°.

We can use this information to set up an equation:

[tex]125^{\circ}+y=180^{\circ}[/tex]

Subtract 125° from both sides:

[tex]y=55^{\circ}[/tex]

The diagram displays two parallel lines cut by a transversal.

Therefore "x" and "y" are corresponding angles.

The corresponding angle theorem states that if the two lines being cut by a transversal are parallel, then corresponding angles must be congruent/equivalent.

Using this theorem we can set up an equation...

[tex]y=x[/tex]

Therefore...

[tex]x=55^{\circ}[/tex]

Answer:

(-1, 16), (3, 12)

These are my examples so if you want you can do different solutions, too!

Step-by-step explanation:

It may sound weird, but there are infinitely many solutions to a linear equation. It's basically all real numbers that are on the line.

So, just choose two random numbers for the x-value and substitute in into the equation. I'm going to use -1 and 3.

x = 15 - y

when x = -1

-1 = 15 - y

y = 16

(-1, 16)

when x = 3

3 = 15 - y

y = 12

(3, 12)

Answer:

Step-by-step explanation:

hello :

if y=0    so x= 15  and  if : x=0   so y = 15

you have  two solutions : (15;0)  and (0;15)

Answer:

r=-2, y=-3

Step-by-step explanation:

Answer: 8/15 + 2/5 = 0.93etc or 14/15

Step-by-step explanation:

Answer:

C is right ಠ_ಠ

Answer:

No solutions

Step-by-step explanation:

[tex]y''+4y'+4y=0,\:y(0)=1,\:y'(0)=1\\\\m^2+4m+4=0\\\\(m+2)(m+2)=0\\\\m=-2[/tex]

Thus, since we have equal real roots, we use the general solution [tex]y(x)=C_1e^{m_1x}+C_2e^{m_1x}[/tex] and our initial conditions to set up our system of equations:

[tex]y(x)=C_1e^{-2x}+C_2e^{-2x}\\\\y(0)=C_1e^{-2(0)}+C_2e^{-2(0)}\\\\1=C_1+C_2[/tex] <-- First one

[tex]y(x)=C_1e^{-2x}+C_2e^{-2x}\\\\y'(x)=-2C_1e^{-2x}-2C_2e^{-2x}\\\\y'(0)=-2C_1e^{-2(0)}-2C_2e^{-2(0)}\\\\1=-2C_1-2C_2[/tex] <-- Second one

Solve the system

[tex]C_1+C_2=-2C_1-2C_2\\\\3C_1+3C_2=0\\\\3C_1=-3C_2\\\\C_1=-C_2[/tex]

[tex]1=C_1+C_2\\\\1=-C_2+C_2\\\\1=0[/tex]

Therefore, there are no solutions to the differential equation given the initial conditions.

Answer:

  2a^3 -3a^2 -45a +50

Step-by-step explanation:

The expansion of the product of polynomials is an application of the distributive property. Usually, it needs to be applied several times.

  (2a^2+7a-10)(a-5)

  = 2a^2(a -5) +7a(a -5) -10(a -5)

  = 2a^3 -10a^2 +7a^2 -35a -10a +50

  = 2a^3 -3a^2 -45a +50

Answer:

Step-by-step explanation:

20.3 Yw :)

Answer:

-9, -5, 5

Step-by-step explanation:

is there more to this question?