The smaller of the two containers has a capacity of 150 gallons. When it is $\frac{4}{5}$ full, its contents are emptied into a larger container, filling exactly $\frac{2}{3}$ of it. What is the capacity, in gallons of the larger container?

Answer:

Im guessing your asking how many weeks he needs to work, he needs to work 20.2 weeks to get enough for the car. You can easily make a equation with this answer comment on this if you want me to make the equation for you

Step-by-step explanation:

Answer: for plato users

A is the correct answer

Step-by-step explanation:

I just took the test had 100%

The correct option is A. [tex]x^{2} -x-10=0[/tex].

Given quadratic equation  [tex]\frac{2}{3x-6} -\frac{1}{3x+6} =\frac{1}{3}[/tex]

On solving,  [tex]\frac{2(3x+6)-1(3x-6)}{(3x-6)(3x+6)} =\frac{1}{3}[/tex]

Further, [tex]\frac{6x+12-3x+6}{9x^{2} -6^{2} } =\frac{1}{3}[/tex]

[tex]\frac{3x+18}{9x^{2} -36} =\frac{1}{3}[/tex]

Taking 3 common from numerator and 9 common from denominator, we have

[tex]\frac{3(x+6)}{9(x^{2} -4)} =\frac{1}{3}[/tex]

[tex]\frac{(x+6)}{3(x^{2} -4)} =\frac{1}{3}[/tex]

[tex]\frac{x+6}{x^{2} -4} =1[/tex]

[tex]x+6=x^{2} -4[/tex]

On rearranging in decreasing powers of x we get,[tex]x^{2} -x-10=0[/tex].

Hence on solving, We get [tex]x^{2} -x-10=0.[/tex]

For more details on Quadratic equation follow the link:

https://brainly.com/question/17177510

answer: 2

(4/10) * 5 = 2

she walk 2 miles per day

Answer:

Each friend gets 6 erasers

Step-by-step explanation:

Start by subtracting the number of erasers Natalie has left from 28 to get 18, then divide 18 by 3 to get 6. Each friend gets 6 erasers.

Hopefully this helps - let me know if you have any questions!

Answer:

AC = 16.5

AE = 9

Step-by-step explanation:

Connect AC and BE

Note m∠ACD = m∠ACB, (both face arc BD)

ΔACD ~ ΔABE

AD : AB = AC : AE

6 : 4 = AC : (6 + 5)

3 : 2 = AC : 11

2AC = 3*11 = 33

AC = 16.5

AE = 9

Answer: B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

72 cm³

Step-by-step explanation:

Volume of a pyramid = Area of base * height / 3

= 3 * 6 * 12/3 = 72 cm³

Answer:

the numbers are 24 and 36

Step-by-step explanation:

y+x=60

y-x= -12

add them

2y= 48

y= 24

x= 60-24

x=36

Answer:

a

Step-by-step explanation:

Answer:

combine like terms; 15.4z - 12

the answer is 14 strips of fabric.

Answer:

88+64+8

Step-by-step explanation:

16*4 =64 and you can just replace that with the x.

Answer alternate exterior angles theorem

Step-by-step explanation

just do it

Answer:

what your looking for this? slope intercept distance? dm

Answer:

1.2 feet

Step-by-step explanation:

25 : 1 = 30 : x

x = 30/25 = 6/5 = 1.2 feet

Answer:

  D)  2 complex zeros; rational zeros among ±{1, 5, 7, 35}

Step-by-step explanation:

The signs of the coefficients of the polynomial are (+ + + +). They are all the same; there are 0 sign changes. When odd-degree terms change sign, the signs are (- + - +). There are 3 changes: -→+, +→-, -→+.

Descarte's Rule of Signs tells you the lack of sign changes among the coefficients means there are 0 positive real roots. When the signs of odd-degree terms are changed, there are then 3 sign changes, indicating 1 or 3 negative real roots and 2 or 0 complex roots.

  There are possibly 2 complex roots.

__

The Rational Root Theorem tells you any possible rational roots will be divisors of the constant term, 35. Those divisors are ±1, ±5, ±7, ±35.

  Possible rational roots are ±1, ±5, ±7, ±35.

_____

Additional comments

A graphing calculator shows the one rational root to be x=-5. The other two real roots are irrational (-3±√2). All are negative, as predicted.

__

Complex roots always come in conjugate pairs, so there will always be an even number of complex roots. This means an odd-degree polynomial will always have at least one (1) real root.

We can shorten the list of possible rational roots by remembering that there are 0 positive real roots. Then possible rational roots are -1, -5, -7, -35. In this problem, you're merely supposed to apply the rule, and not refine the result.

Changing the signs of odd-degree terms is equivalent to reflecting the function over the y-axis. That suddenly makes negative real roots into positive real roots, so the sign change rule can be applied as for positive real roots.

Answer:

Length in feet:  x-70

Step-by-step explanation:

Use factorization to find the length

Area = X^2-120x+3500

Area= length x width.

Area= L x (x-50)= (x-___) (x-50)

To find L we know that in factoring the quadratic equation 50 x __ must be equal to 3500.

(x-70)(x-50) = x^2-120x+3500.

Step-by-step explanation:

[tex] \bf \blue{ \boxed{ \bf p = 4 \: \: and \: \: q = - 5 \Rightarrow pq = 4 \times ( - 5) = - 20}} [/tex]

3(p2q + pq2 - pq) - 6pq + 3pq2 =

3[-20 × 2 + (-20) × 2 - (-20)] - 6 × (-20) + 3 × 2 × (-20) =

3[-40 + (-40) + 20] - 6 × (-20) + 3 × 2 × (-20) =

3(-40 - 40 + 20) - 6 × (-20) + 3 × 2 × (-20) =

3(-80 + 20) - 6 × (-20) + 3 × 2 × (-20) =

3 × (-60) - 6 × (-20) + 3 × 2 × (-20) =

-180 + 120 + 6 × (-20) =

-180 + 120 + (-120) =

-180 + 120 - 120 =

-60 - 120 = -180

Answer:

-180

Step-by-step explanation:

3 ( p2q + Pq2 - pq ) - 6 pq +3pq2

3 [(4)(2)(-5) + (4)(-5)(2) - (4)(-5)] -6 (4)(-5) +3(4)(-5)(2)

3(-40-40+20) + 120 -120

3(-60) +0

-180+0

-180

Answer:

y=1/3x +16/3

Step-by-step explanation:

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

   =(6-5) (2- -1)

    =1/3

Substitute in m and either point into the point slope form

y=m(x-x1) + y

y=1/3(x- -1) +5

y=1/3(x+1) +5

Now lets distribute the 1/3 to and combine the constants to put the answer in standard form

y=1/3x + 1/3 + 5

y=1/3x +1/3 + 15/3

y=1/3x +16/3

Answer:

I) 1.1cm

II) 0.001m = 1mm

Step-by-step explanation:

I)

10mm = 1 cm

11mm = ?

? = (11 x 1)/10 =11/10 =1.1

II)

1000mm = 1m

Milli represents 10^-3 = 0.001

1 millimeter = 1 x 0.001 =0.001m

5.5 cm

Step-by-step explanation:

Let x be the width of the rectangle.

Since the length is double the width, the length would be 2x.

x can be found by solving the perimeter equation. The perimeter of the rectangle can be found by the equation:

[tex]p = 2(l + w)[/tex]

[tex]33 = 2(2x + x)[/tex]

[tex]33 \div 2 = (2x + x)[/tex]

[tex]16.5 = 3x[/tex]

[tex]16.5 \div 3 = x[/tex]

[tex]5.5 = x[/tex]

Therefore, the width of the rectangle is 5.5 cm.

Answer:

x+4=36

Step-by-step explanation:

you would subtract 4 on each side

x+4=36

  -4   -4

x=32

Answer:

48 degrees

Step-by-step explanation:

the angle measure doesn't scale of shrink with the dilation of circles. the angle only just extends.

Let's see

[tex]\\ \sf\longmapsto 25x^2-4=0[/tex]

[tex]\\ \sf\longmapsto 25x^2=4[/tex]

[tex]\\ \sf\longmapsto (5x)^2=2^2[/tex]

[tex]\\ \sf\longmapsto 5x=2[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{2}{5}[/tex]

Answer:

solid figure: refrigeration

plane figure: table

Answer:

A plane figure is a geometric figure that has no thickness. It lies entirely in one plane.

A solid figure is a three-dimensional (3D) shape or geometric figure that has length, width and height.

Plane figure

Place mat (rectangle)

Dish cloth (square)

Plate (circle)

Solid figure

Can of food (cylinder)

Washing sponge (cuboid)

Orange (sphere)

Answer:

It B

Step-by-step explanation:

The data provided in the table does not represent a linear pattern option (b) No, it does not appear on a straight line correct.

It is defined as the change in values of a dependent variable with respect to the independent variables.

It is given that:

Four years ago, you invested $1000 in an account that returns 5.1% annually.

The table represents the value of your investment at the end of each year.

Time (in years)            Value (in dollars)

          1                                    $1051.00

          2                                    $1104.60

          3                                    $1160.94

          4                                    $1220.14

Plot the point (x, y) on the coordinate plane:

From the graph, as we can see (1,  $1051.00) does not lie on the line.

Thus, the data provided in the table does not represent a linear pattern option (b) No, it does not appear on a straight line correct.

Learn more about the rate of change here:

brainly.com/question/12786410

#SPJ2

Answer:

5 Liquid Gallons

Step-by-step explanation:

To find this answer, divide the volume value of liquid quarts by 4, then you will get 5 as your liquid gallon answer.

[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=h-3\\ V=25h\pi \end{cases}\implies 25h\pi =\pi (h-3)^2 h \\\\\\ \cfrac{25h\pi }{\pi h }=(h-3)(h-3)h\implies 25=\stackrel{F~O~I~L}{h^2-6h+9}\implies 0=h^2-6h-16 \\\\\\ 0=(h-8)(h+2)\implies \blacktriangleright h= \begin{cases} 8~~\checkmark\\ -2 \end{cases} \blacktriangleleft ~\hfill \blacktriangleright \underset{radius}{\stackrel{8~~ - ~~3}{5}} \blacktriangleleft[/tex]

notice, we didn't use h = -2, because the height cannot be a negative value.

Answer:

HEYYYYY HOW ARE YOUUUU :)

Step-by-step explanation:

5x - 5 + 2x 6: PEMDAS

5x - 5 + 2x + 6: order of operation??

5x + 2x - 5 + 6: Combine like terms

7x + 1: Your answer...