Claire wants to buy enough sand to fill a sandbox that is shaped like a rectangular prism. The sandbox is 4 feet long, 4 feet wide, and 0.5 foot high. If a bag of sand holds 0.5 cubic feet and costs $2.55 per bag, how much will it cost her to fill the sandbox?

Step-by-step explanation:

The general equation for a circle is

[tex] {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} [/tex]

where (h, k) is the coordinates of the center of the circle and r is the radius. Since the circle passes through (4, 4) and (-4, -4), its center is located at the origin, which means its equation becomes

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

Answer:

Solve by factoring.

1. 2x^2+9x+26=-4x+5

2x²+9x+4x+26-5=0

2x²+13x+21=0

doing middle term factorization

2x²+7x+6x+21=0

x(2x+7)+3(2x+7)=0

(2x+7)(x+3)=0

either

x=-7/2

or

x=-3.

2.

3x^2-6x-4=0

comparing above equation with ax²+bx+c=0

we get

a=3

b=-6

c=-4

By using quadratic equation

x=[tex] \frac{ - b±\sqrt{ {b}^{2} - 4ac } }{2a} [/tex]

Substituting value

x=[tex] \frac{ 6±\sqrt{ {-6}^{2} - 4*3*-4 }}{2*-4} [/tex]

x=[tex] \frac{ 6±\sqrt{ {84}}}{-8} [/tex]

x=[tex] \frac{ 6±2\sqrt{ {21}}}{-8} [/tex]

-8x=6±2√21

taking positive

-8x=6+2√21

x=[tex] \frac{6+2√21}{-8} [/tex]

x=-[tex] \frac{3+√21}{4} [/tex]

taking negative

-8x=6-2√21

x=[tex] \frac{6-2√21}{-8} [/tex]

x=-[tex] \frac{3-√21}{4} [/tex]

Step-by-step explanation:

Answer:

The Slope Equation = y2 -y1 over X2 - X1

Step-by-step explanation:

1.) Pick every graph

2.) Pick any 2 point in the graph

3.) do the slope equation

4.) the answers must be equal  

Answer:

I think 230

Step-by-step explanation:

hope it's help.

Answer:

B is correct: 3x=40

Step-by-step explanation:

just cross multiply and mark brainliest if you feel like it :)

Answer:

3x =40

Step-by-step explanation:

3 will cross multiply with x then 4 will multiply 10

Hence 3x=40

Answer:

40 i think

Step-by-step explanation:

Answer:

249.88

Step-by-step explanation:

415-82.13-9.74-31.75-41.50

Answer:

The average speed on Monday is 27mph

Step-by-step explanation:

Given

Let:

[tex]1\to Sunday[/tex]

[tex]2\to Monday[/tex]

So:

[tex]t_1 = 5.4hr[/tex]

[tex]t_2 = 6hr[/tex]

[tex]s_2 = s_1 - 3[/tex] ---- average speed slower on Monday than Tuesday

Required

The average speed on Monday

Average speed is calculated as:

[tex]Speed = \frac{Distance}{Time}[/tex]

[tex]s = \frac{d}{t}[/tex]

Make d the subject

[tex]d = st[/tex]

On Sunday, we have:

[tex]d = s_1t_1[/tex]

[tex]d = s_1 * 5.4[/tex]

On Monday, we have:

[tex]d = s_2t_2[/tex]

[tex]d = s_2 * 6[/tex]

The distance traveled is constant;

So:

[tex]s_1 * 5.4 = s_2 * 6[/tex]

Make s1 the subject in: [tex]s_2 = s_1 - 3[/tex]

[tex]s_1=3+s_2[/tex]

So, we have:

[tex](3 + s_2) * 5.4 = s_2 * 6[/tex]

Open bracket

[tex]16.2 + 5.4s_2 = 6s_2[/tex]

Collect like terms

[tex]6s_2 - 5.4s_2 = 16.2[/tex]

[tex]0.6s_2 = 16.2[/tex]

Solve for s_2

[tex]s_2 = 16.2/0.6[/tex]

[tex]s_2 = 27[/tex]

The average speed on Monday is 27mph

Answer:

I belive the answer will be 28,350

Answer: 60 days

Step-by-step explanation:

To get the number of days that both of them will be washing the cars on thesame day, we have to find the lowest common multiple of 15 and 20. This will be:

Multiple of 15 = 15, 30, 45, 60, 75, 90

Multiples of 20 = 20, 40, 60, 80, 100

Lowest common multiple = 60

Therefore, they'll be Washing the car on thesame day on the 60th day.

Answer:

D

Step-by-step explanation:

Answer:

Yes, they should increase the budget, because both 8 (Manuel) and 9 (Gretchen) are at least 8. 8 times per month is equivalent to 2 times per week.

Step-by-step explanation:

Answer from Plato

Hence, the answer is Plato.

What is the measurement?

Measurement is the process of finding a number that shows the amount of something. Time the ongoing sequence of events is time. We can measure time in seconds, minutes, hours, days, weeks, months, and years.

Here given that,

The club will base its decision about whether to increase the budget for the indoor rock climbing facility on

the analysis of its usage. The decision to increase the budget will depend on whether members are using

the indoor facility at least two times a week. Use the best measure of center for both of the original data

sets to determine whether the club should increase the budget.

As per this we get that,

Yes, they can increase the budget, because both Manuel has [tex]8[/tex] and Gretchen [tex]9[/tex] are at least [tex]8[/tex] and [tex]8[/tex] times per month is equivalent to the two times per week.

Hence, the answer is Plato.

To know more about the measurement

https://brainly.com/question/18076822

#SPJ2

Answer:

- the pressure will decrease

(volume is doubled ,the pressure reduced by half).

Step-by-step explanation:

P_1 V_1=P_2 V_2

This equation shows that, as volume increases, the pressure of the gas decreases in proportion.

Similarly, as volume decreases, the pressure of the gas increases.

Answer: [tex]\dfrac{1}{\sqrt{2}}[/tex]

Step-by-step explanation:

The value of [tex]\cos 45^{\circ}[/tex] is the fixed value i.e. [tex]\frac{1}{\sqrt{2}}[/tex]

The values of cosine changes from a maximum at [tex]0^{\circ}[/tex] to a minimum at [tex]180^{\circ}[/tex]

for example, [tex]\cos 0^{\circ}=1, \quad \cos 90^{\circ}=0,\quad \cos 180^{\circ}=-1[/tex]

Answer:

A   145/360 * 38

Step-by-step explanation:

Answer:

1.

It has two solution because it is in quadratic form.

2.

(x-4)²-28=8

x²-8x+16-28-8=0

x²-8x-20=0

Doing middle term factorization

x²-(10-2)x-20=0

x²-10x+2x-20=0

x(x-10)+2(x-10)

(x-10)(x+2)=0

either

x=10

or

x=-2

:. x= 10 or -2

3.

2x²-5x-5=0

Comparing above equation with ax²+bx +c

we get

a=2

b=-5

c=-5

quadratic equation is

[tex]x = \frac{ - b ± \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

Substituting value

[tex]x = \frac{ 5 ± \sqrt{ {-5}^{2} - 4×2×-5} }{2×-5} [/tex]

-10x=5±[tex] \sqrt{ {25+ 40}}[/tex]

taking + ve

-10x=5+[tex] \sqrt{ {65}}[/tex]

x=-½-[tex] \frac {\sqrt{ {65}}}{10}[/tex]

taking -ve

x=-½+[tex] \frac {\sqrt{ {65}}}{10}[/tex]

Step-by-step explanation:

you will add the powers 4×+2=6×

then(-2)^6

Answer:

x = 16 units

Step-by-step explanation:

BC = 32√2 / √2 = 32

x = 32/2 = 16

Answer:

No but 11,60, and 61 do make a right triangle

Answer:

x = -17/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

3x + 5(2 + x) = 4x - 7

Step 2: Solve for x

Answer:

x=[tex]\frac{-17}{4}[/tex]

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x+5(2+x)=4x−7

3x+(5)(2)+(5)(x)=4x+−7(Distribute)

3x+10+5x=4x+−7

(3x+5x)+(10)=4x−7(Combine Like Terms)

8x+10=4x−7

8x+10=4x−7

Step 2: Subtract 4x from both sides.

8x+10−4x=4x−7−4x

4x+10=−7

Step 3: Subtract 10 from both sides.

4x+10−10=−7−10

4x=−17

Step 4: Divide both sides by 4.

[tex]\frac{4x}{4}[/tex]=[tex]\frac{-17}{4}[/tex]

x=[tex]\frac{-17}{4}[/tex]

Answer:

The number 28 should be written in the red box.

Answer:

166.67%

Step-by-step explanation:

=100×2.4/1.44

=166.67%

Answer:

Step-by-step explanation:

Make sure the computed ratio is present on your calculator and hit the sin^-1 key. This “inverse sine” function takes a known ratio and returns the angle that produced that ratio. For example, sin^-1(0.8) = 53.130 degrees.

for more;

https://sciencing.com/calculate-angle-sin-7413442.html

Answer:

Step-by-step explanation:

Let the center be O.

LOH and KOI are congruent as vertical angles.

Angle measure of KOI is the sum of KOJ and JOI.

mKJ = m∠KOI as central angle has same value as intercepted arc.

So we have:

Solve for x:

Answer:

-24·[tex]\sqrt{35}[/tex]

Step-by-step explanation: