Solve the following system of equations using elimination.

5x+y=24
-5x-4y=-56

Solve for y:


Solve for x:

Answer:

[tex]\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1[/tex]

Answer:

15 3/4 = (15*4 + 3)/4 = 63/4

5*(63/4) = 78.74 OR 78 3/4

The  change in the total number of bushels is 78 3/4 bushels.

Answer: The volume of this cylinder is 2389.18 cubic cm, and the surface area is 1000.6 square cm.

Answer:

7/20

Step-by-step explanation:

7 / 20 0.35

Answer:

7/20

100/20=5

7*5=35.

Answer:

240

Step-by-step explanation:

36+4=40

40x6=240

Answer:

3.5hours

Step-by-step explanation:

7 hours is the max but divided by 2 people it is 3½ hours

Answer:

Step-by-step explanation:

I'll assume these are the equations:

11x + y =  18

4x + y  = 18

-2x - 2y = 18

=======

The easiest approach to graphing, for me, is to rearrange each to y=mx+b (slope-intercept) format:

It seems to me that all three can be graphed easily from simply reading the slope and y-intercept values.  Since these are straight lines, all we need is two points for each line, and one is standing out in plain view, the y-intercept:  (0,y-intercept).  The second point can be determined by using whatever value of x makes the calculation easy

An example:  y =  - x -9.  Plot (0,-9) for the y intercept, and then calculate one additional point (e.g., for x = - 9).  (-9,0)  Then connect a straight line between these two points and presto (metric term for magic), a graph. For the first equation, I picked 20 for x.  For x = 20, y = -29.  That was easy, and we have the second point:  (1,-10)

See the attachment for how this was done.  The first points are all for the y-intercept (0,[18 or 9]).  All of the second points were calculated in my head by using a convenient value for x.

This approach doesn't work well for non-linear equations.  There, I find it easier to set up a table of values - a spreadsheet such as Excel is my tool for the calculations.

The attachment also demonstrates the Really Easy Way to graph functions.  DESMOS, a free, and excellent, online calculator.

Answer:

p= 25000

I=3%

t=5yrs

a= pti÷ 100

25000*3*5÷100

3750

Answer:

multiply the length and the width of a rectangle or a square

Answer:

that's the answer hope it helps to you

Answer:

Step-by-step explanation:

Answer:

480 quarts could be made in 12 hours

Rate: 40 quarts per hour

Step-by-step explanation:

Rate: 200/5 = 40 quarts per hour

(40)(12) = 480 quarts

Answer:

Step-by-step explanation:

The quadratic equation in factored form:

We have:

Substitute them to get:

Converting this into standard form:

Answer:

64 once bottle for $5.05

Answer:

[tex]-8p^2+10p-3[/tex]

Step-by-step explanation:

[tex](-1+2p)(3-4p)[/tex]

Distribute

[tex]-1(3-4p)+2p(3-4p)[/tex]

[tex]-3+4p+6p-8p^2[/tex]

Then you will organize it into standard form and combine the like terms

[tex]-8p^2+6p+4p-3[/tex]

[tex]-8p^2+10p-3[/tex]

Hope this helps!

Answer:

The personal hygiene part of the store (I think)

Step-by-step explanation:

This is an ultimately weird question, so I don't really know. But my answer is what I think, (I don't even know if it exists though).

Answer:

3 dimes (10c each), a nickel (5c), and 3 pennies (1c each)

Step-by-step explanation:

10+10+10+5+1+1+1 = 38

Hope that helps.

[tex]4 + \sqrt{ - 16} \\ = 4 + \sqrt{ - 2 \times 2 \times 2 \times 2} \\ = 4 + 2\sqrt{ - 4} \\ = 2(2 + \sqrt{ - 4} )[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

[tex]\\ \sf\longmapsto 4+√-16[/tex]

[tex]\\ \sf\longmapsto 4+√16i[/tex]

[tex]\\ \sf\longmapsto 4+4i[/tex]

[tex]\\ \sf\longmapsto 4(1+i)[/tex]

Answer:

1) the baseball will take approx 0.514 seconds to move 18 meters.

35/1 = 18/x

x = 0.514s

2)  the car's average speed is 60 km per hour.

870/14.5 = x/1

x = 60h

Answer:

  g(x) = -4x^2 +(45/2)x +6

Step-by-step explanation:

A function is scaled horizontally by replacing x with x/k, where k is the expansion factor. Here, we want to expand the graph horizontally by a factor of 2, so the new function will be f(x/2).

  g(x) = f(x/2) = -16(x/2)^2 +45(x/2) +6

  g(x) = -4x^2 +(45/2)x +6

Answer:

X1=-4,Y1=-3,X2=-8,Y2=6

=√(X2-X1)^2+(Y2-Y1)^2

=√(-8-(-4))^2+(6-(-3))^2

=√(-4)^2+(9)^2

=√(16+81)

=√97units

Answer:

Step-by-step explanation:

The cost function c(n) for n T-shirts can be written according to the problem statement:

  [tex]c(n)=\begin{cases}20+12n&\text{for }n<10\\20+10n&\text{for }10\le n\le20\\20+7n&\text{for }n>20\end{cases}[/tex]

For an order of 15 shirts, the cost will be ...

  c(15) = 20 +10(15) = 170

The soccer team's 15 shirts will cost $170.

Answer:

i think x=1 y=3 (1,3)

Step-by-step explanation:

2x+4x-1 = 5

x = 1

y = 4x-1

y = 4(1)-1

y = 4-1

y = 3

Answer:

x=[tex]\frac{3c-q^2}{5p}[/tex]

Step-by-step explanation:

5px+q^2=3c

subtract q^2 from both sides

5px=(3c)-q^2

divide by 5p from both sides

x=[tex]\frac{3c-q^2}{5p}[/tex]

Answer:

∠BAC=70°

Step-by-step explanation:

If AB || CD and BC II DE that means the two triangles are congruent or the same, this means ∠BAC°=∠DCE°, ∠ABC°=∠EDC°, and ∠BCA°=∠DEC°. The three angles of a triagle add up to 180°. If ∠DEC=45° and ∠EDC=65°

Total°-(∠DEZ°+∠EDC°)=∠DCE° or ∠ECD°

180°-(65°+45°)=70°

∠BAC°=∠DCE°

Therefore ∠BAC=70°

Step-by-step explanation:

We know that in kinematics we can write the formula for uniformly accelerated bodies:

s = 1/2 a t^2 + v0 t + s0

In our case s0 (initial deployment)  = 0m and v0 (initial velocity) = 0

So:

s = 1/2 a t^2

Now we isolate t:

t = [tex]\sqrt[2]{\frac{2s}{a} }[/tex]

All proportionalities are obvious.

Note: I forgot to say that a, the acceleration, is the gravitational acceleration. It can be g or -g depending on how you'll choose the reference system.

Answer:

The shape of base of a cubic box is square

Step-by-step explanation:

Here the figure is

Here the base is square

The shape of base of a cubic box is square

Answer:

The base is a square

Step-by-step explanation:

Since this question is very straightforward it is asking us the what it the base or what holds the shape itself. We know that a cube is made up of all squares so we can say the the base is a square.