Please help on the last question!

Answer:

- SWIMMING POOLS A swimming pool is 30 feet long by

12 feet wide by 4 feet deep. A cubic yard of water is

27 cubic feet. How many cubic yards of water can the

pool hold? Round to the nearest tenth.

M

Answer:

y = -7/2x +17

Step-by-step explanation:

First, lets put the original equation into slope intercept form which is y=mx+b

7x + 2y = -8

subtract 7x on both sides

2y = -7x -8

divide by 2 on both sides

y = -7/2x - 8/2

y = -7/2x - 4

now we can plus in any x and y values to get a new b, which is our y intercept.

lets use (4,3)

Also, since they are parallel, their slope (m) will be the same.

y = -7/2x + b

3 = -7/2(4) + b

3 = -14 + b

b = 17

lets plug in our new b into our original equation

y = -7/2x + 17

The value of [y] = 7 and that of [x] = 6.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written to express proportional relationship as -

y = kx  {k is constant}

We have a equation that represents a line as -

7x + 2y = - 8

We can write -

7x + 2y = - 8

2y = - 7x - 8

y = (-7/2)x - 4

Options are not given, so the line whose slope will be (-7/2) will be parallel to the given line with equation 7x + 2y = - 8

Therefore, line whose slope will be (-7/2) will be parallel to the given line with equation 7x + 2y = - 8

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The length of the 1 inch nail weighing 18 mg is 25.4 mm

An equation is an expression showing the relationship between numbers and variables.

Weight is the quantity of matter stored in an object. The SI unit of weight is the kilograms.

1 inch = 0.0254 meter

1 m = 1000 mm

Given the nail is 1 inch, hence:

1 inch = 0.0254 m

0.0254 m = 0.0254 m * 1000 mm/m = 25.4 mm

The length of the nail is 25.4 mm

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Answer:

2x² + 7x + 6

Step-by-step explanation:

To solve this polynomial, you need to distribute/multiply, (x+2) with (2x+3).

You would first multiply (x) with 2x and 3. This would give you 2x² and 3x. You would then multiply 2 with 2x and 3. This would give you 4x and 6. You then add the like-terms, which are 3x and 4x, which gives you 7x. This would give you your final expression of 2x² +7x + 6.

(x+2)(2x+3)

2x²+ 3x + 4x + 6

2x² +7x + 6

Answer:

2x^2+7x+6

Step-by-step explanation:

Expand the polynomial (An algebraic expression) using the FOIL (First, Outer, Inner, Last) method.

2x^2+7x+6

(x+2)(2x+3)

First, multiply the variables (x).

(x)(2x) = 2x^2

Then, multiply the whole numbers (2, 3).

(2)(3) = 6

Now, you're not done. You need to multiply the variables and the whole numbers (that weren't already multiplied together)

(x)(3) = 3x

(2)(2x) = 4x

Finally, add them all together, and simplify.

2x^2 + 6 +3x + 4x

=

2x^2+7x+6

Answer:

Height of rectangle block = 10 m

Step-by-step explanation:

Given:

Height of well = 20 m  

Radius of well = 7 m

Dimension of rectangle = 22m x 14m

Find:

Height of rectangle block

Computation:

Volume of well = Volume of rectangle block

πr²h = (l)(b)(h)

(22/7)(7)²(20) = (22)(14)(Height of rectangle block)

(22/7)(49)(20) = (308)(Height of rectangle block)

3080 = 308(Height of rectangle block)

Height of rectangle block = 10 m

Step-by-step explanation:

Total cards that deck contains= 5+4+2+1=12 ( as mentioned in question)

So,

1. Probability of getting blue card is 1/12

2. Probability of getting a red card is 2/12=1/6

hope it helps

Answer:

30

Step-by-step explanation:

Answer:

angle B'CA'= angle BCA..... (common angle)

angle B'A'C = angle BAC.....(corresponding angels)

therefore,

ΔCB'A' ~ ΔCBA. ......(by A-A test of similarity)

therefore,

B'A'/ BA. = CA'/ CA....(congruent sides of congruent triangles)

now, B'A' = 5, CA'= 6 , CA = 6 + 3 = 9

5 / BA. = 6 / 9

therefore, 5 / BA. = 2 / 3

[tex]ba \: = \frac{5 \times 3}{2 } \\ = \frac{15}{2} \\ = 7.5[/tex]

Answer : AB = 7.5 units

Answer:

i have the same question

Step-by-step explanation:

i have the same question

Answer:

The answer is "0.274 and 0.841"

Step-by-step explanation:

Given:

In this question, let X  the binomial random variable with the parameters:

[tex]n = 1000\\\\P = 0.193[/tex]

Calculating the random variable Z:

[tex]Z= \frac{X - np}{\sqrt{np(l - p)}}=\frac{x -193}{12.48}[/tex]

is an approximately regular, cumulative random variable with [tex]\Phi[/tex] specified in the back of the book in the tables.

Using the continuity and tables to calculate:

[tex]\to \mathbb{P} (X > 200) = \mathbb{P} (X\geq 200.5) \approx \mathbb{P}(Z\geq 0.6)=1- \Phi(0.6) \approx 0.274 \\\\\to \mathbb{P} (180 < X < 300) = \mathbb{P} (180.5 \leq X \leq 299.5) = \approx \mathbb{P} (-1 \leq Z\leq 8.53) = \approx 1- \Phi(-1) \approx 0.841[/tex]

(a) The probability that more than 200 persons throughout the sample have a disability will be "0.08691".

(b) The probability that between 180 - 300 people throughout the sample have a disability will be "0.85122".

According to the question,

Majority percentage, P = 19.3% or,

                                       = 0.193

Sample person, n = 1000

Q = 1 - P

   = 1 - 0.193

   = 0.807

By using Normal approx. to Binomial,

→ Mean, E(X) = n × P

By substituting the values,

                     = 1000 × 0.193

                     = 193

Standard deviation, X = √n × p × Q

                                      = √1000 × 0.193 × 807

                                      = 12.4800  

(a)

Z = [tex]\frac{X - \mu}{\sigma}[/tex]

  = [tex]\frac{210-193}{12.48}[/tex]

  = 1.36

The probability be:

→ P(X > 210) = 1 - P (Z < 1.36)

                    = 1 - 0.9131

                    = 0.08691

(b)

Z = [tex]\frac{X - \mu}{\sigma}[/tex]

  = [tex]\frac{180-193}{12.48}[/tex] or, [tex]\frac{300-193}{12.48}[/tex]

  = 8.57

hence,

The probability be:

→ P (180 < X < 300) = P(Z < 8.57) - P(Z < -1.04)

                                = 1 - 0.1488

                                = 0.85122  

Thus the answers above are correct.

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Answer:

We see that SR is a diameter, therefore Δ SRT is right triangle with ∠STR = 90°

∠ROQ, ∠RST and ∠TRQ all intercept the same arc RT

∠ROQ is twice the ∠RST and ∠TRQ as the central angle:

PQ is tangent to circle, therefore:

Answer:

464feet

Step-by-step explanation:

USing the SOH CAH TOA identity

Hypotenuse = 5,328feet

Angle of elevation - 5 degrees

Required

Opposite = x

Since

Sin theta = opp/hyp

sin 5 = x/5,328

x = 5,328sin5

x  = 464.36

x = 464feet to the nearest foot

Answer:

20.4

Step-by-step explanation:

The answer is 2011.4

Answer:

11.6 mi

Step-by-step explanation:

A^2+B^2=C^2

A^2+4.2^2=12.3

A^2=133.65

A=11.5607093

A=11.6

Answer:

4 1/7

Step-by-step explanation:

16 4/7 ÷ 4 = 4 1/7

Hope this helps!

Complete question :

Find the balance in the amount after the given period. 5000 principal earning 7% compounded annually for 7 years

Answer:

8,028.91

Step-by-step explanation:

Given :

Principal, P = 5000

Rate, r = 7% = 0.07

Period, t = 7 years

Using the compound interest formula :

A = P(1 + r/n)^nt

A = final amount ; n = number of compounding times per period

A = 5000(1 + 0.07/1)^(1*7)

A = 5000(1 + 0.07)^7

A = 5000(1.07)^7

A = 5000 * 1.60578147647843

A = 8028.90738239215

Amount saved = 8,028.91

Answer:

21 pounds

Step-by-step explanation:

bill is 140 pounds, plus 5 tax means the total amount to pay is (1.05x140)=147 pounds.

Amount per friend = 147/7 = 21 pounds per friend.

Answer:

21

Step-by-step explanation:

This is just a confirmation answer

Answer:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Step-by-step explanation:

Exact Form:

[tex]x=-\frac{1}{2} , \frac{4}{3}[/tex]

Decimal Form:

x=-0.5, -1.¯3

Hope this helps     :)

Answer:

[tex]A_1 = 1500\\A_n = A_{n-1} - 15\%\cdot A_{n-1} + 60[/tex]

Step-by-step explanation:

We just put the task description into the answer :)

The last line can also be shortened to:

[tex]A_n = 85\%\cdot A_{n-1} + 60[/tex]

or

[tex]A_n = 0.85A_{n-1} + 60[/tex]

Step-by-step explanation:

[tex] {x}^{2} - 6x - 16 = 0[/tex]

[tex] {x}^{2} - 6x = 16[/tex]

[tex] {x}^{2} - 6x + 9 = 16 + 9[/tex]

There two ways you can go this route.

Route 1

[tex](x - 3) {}^{2} = 25[/tex]

[tex](x - 3) {} = 5[/tex]

[tex]x = 8[/tex]

And

[tex]x - 3 = - 5[/tex]

[tex]x = - 2[/tex]

The roots are 8,-2

Answer:

x=-2,8

Step-by-step explanation:

x2 - 6x - 16 = 0

x²-8x+2x-16=0

x(x-8)+2(x-8)=0

(x-8)(x+2)=0

either

x=8

or

x=-2

Answer:

10.93

Step-by-step explanation:

5.9 ÷ 0.54 = 5.9 x 1/0.54 = 5.9/0.54 = 10.93

Answer:

$36

Step-by-step explanation:

Use the simple interest formula, I = prt

Plug in the interest rate, original amount of money, and number of years:

I = prt

I = (150)(0.08)(3)

I = 36

So, $36 in interest would be made

Answer:

365 messages

Step-by-step explanation:

x = # text messages)

16.5 = 10 + .10(x - 300)

6.5 = .10x - 30

36.5 = .10x

x = 365

Answer:

365

300+65=365 text messages in total

365 text messages=$16.50

Step-by-step explanation:

6.50/0.10=65

Have a nice day!!

Answer:

The bigger angle is 135, and the smaller angle is 45.

Step-by-step explanation:

First, you have to know that supplementary angles add up to 180°.

We have no equations for the angles, so I will use the variable x for the value of the smaller x.

The reason for this: the problem gave the value of the bigger angle, but relative to the smaller angle. Therefore, it would be safe to assume the use of a variable for the smaller angle.

Since the bigger angle is 3 times as large as the smaller, we can say that the bigger angle is 3x, or 3 times x.

Now, we can put this in an equation: 3x+x=180. Like I said before, both of the angles add up to 180 degrees.

To solve the equation:

1. Combine like terms

4x=180

2. Divide both sides by 4

x=45

Now that we have the value of x, we can plug that in to 3x and x to find the angles.

3*45=135, which is the bigger angle

45, which is the smaller angle.

Answer:

Step-by-step explanation

Remark

The likelihood of an event happening is 28 times out of a hundred.

The chances of it not happening is 72 chances out of a hundred.

Answer:

Unlikely!

Step-by-step explanation:

Answer:

H) 45,000 + 2,500 x = 54,000 + 1,500x

Step-by-step explanation:

Let the number of years be represented as x

For Jerry

Jerry has a new job and earns a salary of $45,000.Jerry will receive a salary increase of $2,500 per year,

The equation is

45,000 + 2,500x

Victoria has a new job and earns a salary of $54,000. and Victoria will receive a salary increase of $1,500 per year.

The equation is :

54,000 + 1,500x

The equation that can be used to find x, the number of years it will take Jerry to earn the same salary as Victoria is given as

Equation for Jerry = Equation for Victoria

45,000 + 2,500x = 54,000 + 1,500x

Option H is the correct option

Answer:

nope u dont need to buy more

Step-by-step explanation:

u have 1/2 cup after spilling but the recipe only needs 1/3 which is less