18 - [5 + 1 + (4 - 2 + 2)}] please solve​

Answer:

5.60 pounds each

Step-by-step explanation:

This is the dry mixture problem.

Let x = the number of pounds of the first type of candy

Therefore, number of pounds of second type of candy = 10-x

Value of first candy + value of second candy = value of mixture

Value of any candy = cost per pound of candy * weight of candy

Thus:

4x + 6(10 - x) = 5.60(10)

4x + 60 - 6x = 56

-2x + 60 = 56

-2x = -4

x = -4/-2

x = 2

Therefore, the number of pounds of first type of candy = 2 pounds

The number of pounds of second type of candy = 10 - 2 = 8 pounds

Check

$4(2) + $6(8) =

           8 + 48 = $5.60(10)

               $56 = $56

Answer: It is 105/8, or 13 1/8 (as a mixed number)

Step-by-step explanation:

To find volume, you do length times width times height (l  * w  * h)

Hope this helps! :D

The conditions for this type of sampling test regarding the wait times at two branches of a bank include:

It should be noted that sampling simply means a statistical process where a predetermined number of observations are taken from a larger population.

In this case, the samples are both randomly selected and the wait times within each group are approximately symmetric without outliers. When there's a symmetric distribution with no outliers, the mean and standard deviation will be used.

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The geometric series with 4th term as 10 and 7th term as 80 has the sum of the first tenth terms as 1278.75.

aₙ = arⁿ⁻¹

where

Therefore,

10 = ar³

80 = ar⁶

Hence,

a = 10 / r³

80 = (10 / r₃) r⁶

80 = 10r³

r³ = 80 / 10

r = ∛8

r = 2

a = 10 / 2³

a = 10 / 8 = 5 / 4

The sum of 10 terms can be calculated as follows:

Sₙ = a(rⁿ - 1) / r - 1

Sₙ = 5 / 4 (2¹⁰ - 1) / 2 - 1

Sₙ = 5 / 4 (1024 - 1) / 1

Sₙ = 1.25(1023)

Sₙ = 1278.75

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Answer:

none of the above

Step-by-step explanation:

Let us call x the smallest integer. Because the next two numbers are consecutive even integers, we can call represent them as x + 2 and x + 4. We are told the sum of x, x+2, and x+4 is equal to 72.

x + (x + 2) + (x + 4) = 72

3x + 6 = 72

3x = 66

x = 22.

This means that the integers are 22, 24, and 26. The question asks us for the product of these numbers, which is 22(24)(26) = 13728.

The answer is 13728.

Answer:

12 meters

Step-by-step explanation:

You have to use the inverse of the pythagorean theorem to do this so you do square root of (20x20-16x16) which is 12

Answer:

381 feet cubed

Step-by-step explanation:

You need to divide the shape into 2.

I would divide the shape so that 8.5ft, 6ft, and 3ft are one.

Now do Length times Width times Height for the first one.

8.5 ft x 6 ft x 3 ft = volume for shape 1

The volume for shape 1 is 153 feet cubed

Now onto the second one.

Since you divide the other shape to have 8.5 feet the measurements are:

4ft, 9.5ft, and 6ft.

Do the formula lwh.

4ft x 9.5ft x 6ft = volume for shape 2

The volume for shape 2 is 228 feet cubed

Finally, you have to add shapes 1 and 2 due to the fact it's a composite figure.

153ft + 228ft = 381ft cubed

Answer:

6.856

Step-by-step explanation:

8² + x² = 17

8² - 17 = -x²

64 - 17 = -x²

-47 = -x²

x² = 47

x = 6.856

Answer:

12 pieces of cake

Step-by-step explanation:

4 pieces for each cake

there is a total of three cakes

needed to find total pieces of cakes

multiply 4 by 3 and you will get 12 pieces of cake.

Answer:

Miko has 12 pieces of cake

The height of the right circular cylinder with volume of 500π cubic centimetre and radius of 5 centimetre is 20 cm.

volume = πr²h

where

Therefore,

volume = 500π cm³

r = 5 cm

Therefore,

volume of the cylinder = πr²h

500π = 5²πh

500π = 25πh

divide both sides by 25π

500π / 25π = 25πh / 25π

h = 20 cm

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Answer:

A) 20 cm

Step-by-step explanation:

Answer:

option b

Step-by-step explanation:

It is option b

Your answer is 4(x+1)²

Answer:

B

Step-by-step explanation:

Given functions:

[tex](f \circ g)(x) & =f[g(x)][/tex]

This means substitute the x of f(x) with the function g(x).

[tex]\implies f[g(x)]=4(x+1)^2[/tex]

Answer:

1 cent

Step-by-step explanation:

Dime = 10 cents

8 Dimes = 8 * 10 = 80 Cents

1 Nickel = 5 Cents

80 + 5 = 85

85 - 84 = 1 Cent

Answer:52.8

Step-by-step explanation:

Answer:

The answer is indeed 52.8

Step-by-step explanation:

Here is proof: I got the same answer.

Answer:

V = V0 e^-k t     where V is the value of the car and t the time in years

ln (V/V0) = - k t

k = -1/4 ln (96/280) = .268

V = V0 e^-k t = 28000 e^-.268 * 6 = 28000 e^-1.606 = $5621

Using the Pythagorean Theorem, it is found that Barrie is 12 miles from Luke's house, in a straight line.

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

This problem can be modeled by a right triangle, with [tex]l_1 = 16, l_2 = d, h = 20[/tex], hence:

[tex]h^2 = l_1^2 + l_2^2[/tex]

[tex]16^2 + d^2 = 20^2[/tex]

[tex]d^2 = 144[/tex]

[tex]d = 12[/tex]

Barrie is 12 miles from Luke's house, in a straight line.

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Answer:

33.15

Step-by-step explanation:

65% is 0.65

102/2=51

0.65*51=33.15 which is the answer

Answer:

hello

15 x 0.4 = 6

6 sunflower

Step-by-step explanation:

Answer:

6 of them have sprouted

Step-by-step explanation:

(15/100)x40

0.15x40

6

Answer:

78 is the number

Step-by-step explanation:

(65*6)÷5 = 78.

5/6 of a number is 65.

And the number is 78.

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

A phrase: 5/6 of a number is 65.

To find the number:

Let the number be n.

Applying multiplication operation,

5/6 of n is 65.

(5/6)n = 65.

Applying cross multiplication,

n = 65 x 6/5

n = 390/5

n = 78.

Therefore, the number is 78.

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Answer:

  a) 96 = 3.57√h

  b) h ≈ 723.11 m

Step-by-step explanation:

The equation you want to solve is the model with the given values filled in.

  D(h) = 3.57√h . . . . model

  96 = 3.57√h . . . . . equation for seeing 96 km to the horizon

__

We solve this equation by dividing by the coefficient of the root, then squaring both sides.

  96/3.57 = √h

  h ≈ 26.891² ≈ 723.11 . . . . meters above sea level

Dustin would need to have an elevation of 723.11 meters above sea level to see 96 km to the horizon.

The semi-annual net cash flow that the company must achieve in order for the purchase to be made is $5041.

Maximum amount that can be invested = $32348.

Less: Present value of salvage value = $5927

Present value of cash inflow = $32348 - $5927 = $26421.

Net cash flow will be:

= $26421 / PV factor

= $26421/5.242

= $5041

In conclusion, the correct option is $5041.

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Answer: 55.20$

Step-by-step explanation:

1. Add up 35% with the 15% since Mario is paying for it

2. Multiply 120(the cost without any discount/tax) with the new discount percentage

3. Now with the answer from multiplying subtract it from 120.

4. With the answer, multiply the tax percentage(0.08)

5. Now add It to the discounted price.

6. Round it to the nearest hundredth

Answer:

You can solve this by setting up an exponential growth equation.

Now we solve for b

Now that we have found b, we can use the equation  to predict how many bacteria will be present after 10 hours.

t = 10

Answer = 4732

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: Length = 9 in

Width = 12 in

Step-by-step explanation:

Length L = 3 + W

Perimeter P = 42 in

Perimeter = 2L + 2W

plugin values:

42 = 2(3 + W) + 2W

42 = 6 + 2W + 2W

42-6 = 4W

W = 36 / 4

W = 9  

solve L by substituting the value of W=9 into the equation:

L = 3 + W

L = 3 + 9

L = 12

therefore, the dimensions of the rectangle:

               Length = 9 in

               Width = 12 in

Answer:

Answer:

length = 9 in

width = 12 in

Step-by-step explanation:

You have to use the formula for the perimeter of a rectangle

P=2(l+w)

Answer:

In 2009

Step-by-step explanation:

If the wren population is going down by 40% each year, that means the following year's population is just 60% of what was in the previous year. This means that what we have to do is multiply the previous year's number by 0.6 to get the current year's population. If we take the data from 2004 as 100%, we have the following numbers:

2004 = 100%

2005 = 60 % (100 * .6)

2006 = 36 % (60 * .6)

2007 = 21.6 % (36 * .6)

2008 = 12.96 % (21.6 * .6)

2009 = 7.776% (12.96 * .6)

This means that 2009 will show that the wren population is less than 10% (7.776%) than what it was in the year 2004.

I hope this helps! :D

Answer:

2009

Step-by-step explanation:

On June 1, 2004 we can say that there were 100% of the wrens.

If the number decreases by 40% each year, then each year there will be 60% of the previous years number.  To find 60%, multiply by 0.6 (since 60% = 60/100 = 0.6)

June 1, 2004 = 100%

June 1, 2005 = 100% x 0.6 = 60%

June 1, 2006 = 60% x 0.6 = 36%

June 1, 2007 = 36% x 0.6 = 21.6%

June 1, 2008 = 21.6% x 0.6 = 12.96%

June 1, 2009 = 12.96% x 0.6 = 7.776%

Therefore, the census shows that the number of wrens is less than 10% in the year 2009.

Answer:

624

Step-by-step

480+(480(30%))

=624

Answer:

162

30/100 * 480

3/10 * 480

3/1 * 48

3 * 48

162

The rate of interest required to achieve the conditions set forth is 7.1773%.

The interest rate is the rate at which the investment increases. The formula that can be used to determine interest rate is:

g = (FV / PV)^(1/N) - 1

Where:

4^(1/20) - 1 = 7.1773%

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Answer:

[tex]\sf (x+2)^2+(y-2)^2=2[/tex]

Step-by-step explanation:

If RS is the diameter of the circle, then the midpoint of RS will be the center of the circle.

[tex]\sf midpoint=\left(\dfrac{x_s-x_r}{2}+x_r,\dfrac{y_s-y_r}{2}+y_r \right)[/tex]

             [tex]\sf =\left(\dfrac{-1-(-3)}{2}+(-3),\dfrac{3-1}{2}+1 \right)[/tex]

             [tex]\sf =(-2, 2)[/tex]

Equation of a circle:   [tex]\sf (x-h)^2+(y-k)^2=r^2[/tex]

(where (h, k) is the center and r is the radius)

Substituting found center (-2, 2) into the equation of a circle:

[tex]\sf \implies (x-(-2))^2+(y-2)^2=r^2[/tex]

[tex]\sf \implies (x+2)^2+(y-2)^2=r^2[/tex]

To find [tex]\sf r^2[/tex], simply substitute one of the points into the equation and solve:

[tex]\sf \implies (-3+2)^2+(1-2)^2=r^2[/tex]

[tex]\sf \implies 1+1=r^2[/tex]

[tex]\sf \implies r^2=2[/tex]

Therefore, the equation of the circle is:

[tex]\sf (x+2)^2+(y-2)^2=2[/tex]