Rewrite as a simplified fraction.

The area of the rectangle is 26 square meters.

From the question, we are to determine the area of the described rectangle.

The area of a rectangle can be determined by the formula

A = l × w

Where A is the area of the rectangle

l is the length of the rectangle

and w is the width of the rectangle

From the given information,

l = 26 meters

w = 1 meter

Thus,

Area = 26 × 1

Area = 26 square meters

Hence, 26 square meters is the area of the rectangle.

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Answer: a.) 397.5 b.) 1.3333

Step-by-step explanation:

1 cent = £0.75

530 x 0.75 = 397.5

530 / 397.5 = 1.3333

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The number of possible different votes for Milan, based on the list of bands is 60 different votes.

There are 5 lists of bands that Milan has to choose from to place a vote and there are only 3 bands to be chosen out of the 5 lists.

The total number of different votes possible is therefore possible by performing a permutation:

= 5! / ( 5 - 3) !

= 5 ! / 2 !

= (5 x 4 x 3 x 2 x 1) / (2 x 1)

= 60 different votes

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Answer:

4x(2x−1)

Step-by-step explanation:

[tex] {8x}^{2} - 4x[/tex]

Factor out 4.

[tex]4( {2x}^{2} - x)[/tex]

Consider

[tex] {2x}^{2} - x[/tex]

Factor out x.

x(2x−1)

Rewrite the complete factored expression.

=4x(2x−1)

The values of each variable are ∠d=71°, ∠c=87°, arc a=121°, arc b=53°.

A circle is a shape formed by all points on a plane that are at a fixed distance from the center. It is the curve sketched out by a point moving in a plane such that its distance from a particular point remains constant. The radius is the distance between any point on a circle and the center. The radius must usually be a positive integer. Degenerate case is a circle with r=0. Except when otherwise specified, this article is about circles in Euclidean geometry, and specifically the Euclidean plane.

1) Measure of ∠d

∠d+109°=180°

∠d=71°

2) Measure of ∠c,

∠c+93°=180°

∠c=87°

3) Measure of arc a is,

109°=1/2[97°+arc a]

218°=97°+arc a

arc a=121°

4) Measure of arc b,

87°=1/2[121°+arc b]

174°=121°+arc b

arc b=53°

Therefore, the values of each variable are ∠d=71°, ∠c=87°, arc a=121°, arc b=53°.

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Answer:

It's an example of the distributive property

The value to make the inequality true is n > 3

Inequality, In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

We need to solve this problem and determine what value will solve this problem.

2(n + 2) < 5(n - 1)

2n + 4 < 5n - 5

Collect like terms

4 + 5 < 5n - 2n

9 < 3n

3n > 9

n > 3

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Answer:

x = -2.25

Step-by-step explanation:

To solve this we want to put the x alone on one side

Then by subtracting 6x from both sides

2x - 5 - 6x = 6x + 4 - 6x

- 4x - 5 =4

add 5 for both sides

- 4x - 5 + 5 = 4 + 5

- 4x = 9

Divide both sides by - 4

Then x = 9 / -4 = -2.25

So you only forget the negative sign

Glad to Help

Answer: x= - 9/4 or -2.25

Step-by-step explanation:

2x - 5 = 6x + 4(subtract 4 from the right side to move to the left side and subtract 2x from left side to move to right side)

-4 - 5 = 6x - 2x (now subtract these numbers as they have the same components)

-9 = 4x  (divide by 4 to get X alone)

-9/4 = x

Answer:

arc ABC ≈ 18.2 cm

Step-by-step explanation:

the length of the arc ABC is calculated as

arc = circumference of circle × fraction of circle

the angle around the centre O is 360° , then

angle subtended by arc = 360° - 100° = 260°

then

arc = 2πr × [tex]\frac{260}{360}[/tex] ( t is the radius = 4 )

     = 2π × 4 × [tex]\frac{26}{36}[/tex]

    = 8π × [tex]\frac{13}{18}[/tex]

    = [tex]\frac{8\pi (13)}{18}[/tex]

    ≈ 18.2 cm (to 3 significant figures )

Answer: If you mean how much is 1111 less than 1191, then your answer is

80.

Step-by-step explanation: 1191 - 1111 = 80.

For the given functions f(x) = 3x and g(x) = 1/x then domain of

(gof)(x) =1/3x is all the real numbers excluding zero.

As given in the question,

Given functions are as follow:

f(x) = 3x

g(x) = 1/x

Now ,

(gof)(x)

= g(f(x))

Substitute f(x) = 3x in the above function we have,

=g(3x)

Replace the value of x by 3x in the given function g(x) we get,

= 1/ 3x

For x = 0 (gof)(x) =1/3x is undefined.

Domain include all the real numbers except zero.

Therefore, for the given functions f(x) = 3x and g(x) = 1/x then domain of (gof)(x) =1/3x is all the real numbers excluding zero.

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The logarithmic expression given as logₙ(1/63) has its value to be -4.143

From the question, the given parameters are

logₙ(7) = 1.946

logₙ(9) = 2.197

logₙ(16) = 2.773

The logarithmic expression to calculate is given as

logₙ(1/63)

Express 1/63 as 1/7 * 1/9

So, we have the following representation

logₙ(1/63) = logₙ(1/7 * 1/9)

Apply the product of logarithm

This gives

logₙ(1/63) = logₙ(1/7) + logₙ(1/9)

Apply the exponent of logarithm

This gives

logₙ(1/63) = -logₙ(7) - logₙ(9)

Substitute logₙ(7) = 1.946 and logₙ(9) = 2.197 in logₙ(1/63) = -logₙ(7) - logₙ(9)

logₙ(1/63) = -1.946 - 2.197

Evaluate

logₙ(1/63) = -4.143

Hence, the value of the logarithmic expression is -4.143

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Step-by-step explanation:

first you have to multiply 4 with 3 and add with 2 and do same as in second .

then do lcm

The Cartesian coordinate of the point where polar coordinates are [5√2, π/4 ]​ is  ( 5/√2, -5/√2)

The polar cordinates given are (r,θ)=(5,− π/4)

And we need to find the cartesian coordinates

We have,

x=rcosθ, y=rsinθ

x=5cos(− π/4) ,y=5sin(− π/4)

x= 5/√2 ,y=− 5/√2

So, the cartesian form is ( 5/√2, -5/√2)

The Cartesian coordinate of the point where polar coordinates are [5√2, π/4 ]​ is  ( 5/√2, -5/√2)

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The missing digits of the following UPC code 55X200100102 is 3.

Add three to the total of the digits in the first, third, fifth, seventh, ninth, and eleventh positions. The total of the digits in the second, fourth, sixth, eighth, tenth, and twelveth positions should be added to this. The code is legitimate and the computer will accept it if the outcome is a multiple of 10. Add the values of the 1, 3, 5, 7, 9, and 11 odd digits together. Multiply that amount by 3. Add up the values of all the even digits (digits 2, 4, 6, 8 and 10). To the value from step 2, add this total. Take the figure in Step 4. Thus, 3 is the check digit.

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Answer:

C and A

Step-by-step explanation:

Answer:

0.6

Step-by-step explanation:

3/4 of 4/5 is the same as asking: If you take 3/4 of 4/5, what do you get? Furthermore, 3/4 is 75 percent. Therefore, we are solving 75 percent of 4/5 when we are solving 3/4 of 4/5. To solve the problem, we start by labeling 3/4 of 4/5 like this: N1/D1 of N2/D2

Then we use this fraction of a fraction formula to solve the problem:

(N1 x N2) / (D1 x D2)

When we enter 3/4 of 4/5 into the formula, we get:

(3 x 4) / (4 x 5) = 12/20

Therefore, the answer to 3/4 of 4/5 in its lowest form is:

3/4 of 4/5 = 3/5

The answer above is 3/4 of 4/5 in fraction form. Below we have converted the response to a decimal form for you: 3/4 of 4/5 = 0.6

Hint: If you need to figure out a Fraction of Fraction problem like 3/4 of 4/5 in the future, remember that you get the answer by multiplying the numerator to and the denominator this is the same as multiplying the fractions together.

The total number of tongue depressors and Band-Aids are 56 and 128 respectively.

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Given that, a medic's bag contains individually wrapped tongue depressors (each costing 4 cents) and Band-Aids (each costing 8 cents). If the materials are worth $12.48 and there are 184 individual packages in total,

Let the number of wrapped tongue depressors be w and that of Band-Aids be b,

Therefore,

w+b= 184

0.04w+0.08b = 12.48

w+2b = 312

On solving the equation, by elimination method, we get,

b = 128

Therefore, w+128 = 184

w = 56

Hence, the total number of tongue depressors and Band-Aids are 56 and 128 respectively.

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Answer:

An arithmetic sequence occurs when the difference between each term and the next is constant. Therefore, only addition or subtraction is possible. Also, the amount (4, in this case) must remain the same when added to each successive term.

Answer:

x=5

Step-by-step explanation:

7x=70/2

7x=35

7x/7=35/7

x=5

Answer:_______________________________________________

-0.5

Answer:

224.50

-225.00

$0.50

- 50 cents

The correct option regarding the proportional relationships for the costs of the Peanut Brittle and for the Almond Bark are given as follows:

Almond bark costs $0.25 more per ounce than peanut brittle.

A proportional relationship is a special case of a linear function, with slope k and intercept 0, hence the output variable y is obtained with the multiplication of the input variable x and the slope k, as follows:

y = kx.

The Peanut Brittle graph goes through the point (10, 10), hence the constant, which is the price per candy, is obtained as follows:

10k = 10

k = 10/10

k = 1.

For Almond Bark, the price per candy is obtained as follows, from the table:

4k = 5

k = 5/4

k = 1.25.

Hence the difference of the prices is:

1.25 - 1 = $0.25.

Which means that the first option is correct.

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Answer:

Almond bark costs $0.25 more per ounce than peanut brittle.

Step-by-step explanation:

Answer:

the answer Is D 19/18

1/9 +2/3=1/9+ 6/9 =7/9

7/9 +5/18= 14/18 + 5/18 = 19/18

Answer:

  (x, y) ≈ (3.4, 1.8)

Step-by-step explanation:

You want the point of intersection of the lines through (0, 1), (4.3, 2) and (2.1, 3), (5.4, 0).

The first attachment shows a graph of the lines and the coordinates of the point of intersection. The solution is ...

  (x, y) ≈ (3.42, 1.8)

  (x, y) = (3.4, 1.8) . . . . accurate to 1 decimal place

__

Additional comment

For each pair of points, the equation of the line can be written as ...

  (y2 -y1)(x -x1) -(x2 -x1)(y -y1) = 0

  (2 -1)(x -0) -(4.3 -0)(y -1) = 0   ⇒   x -4.3y +4.3 = 0

and

  (0 -3)(x -2.1) -(5.4 -2.1)(y -3) = 0   ⇒   -3x -3.3y +16.2 = 0

The calculator result in the second attachment shows the exact solution to be ...

  (x, y) = (3 229/540, 1 43/54) ≈ (3.42407, 1.79630)

Using the given exponential function, it is found that:

a) The number of mosquitoes in the container after 5 days is of: 346.

b) The number of days until the container reaches the maximum capacity is of: 10 days.

The exponential function that models this problem is presented as follows:

P(t) = 24(4)^(0.385t).

Hence, after five days, the number of mosquitoes is of:

P(5) = 24(4)^(0.385 x 5) = 346 mosquitoes.

The number of days that it takes for the container to reach it's maximum capacity of 5000 is obtained solving the exponential function with logarithms as follows:

[tex]5000 = 24(4)^{0.385t}[/tex]

[tex](4)^{0.385t} = \frac{5000}{24}[/tex]

[tex](4)^{0.385t} = 208.3[/tex]

[tex]\log{(4)^{0.385t}} = \log{208.3}[/tex]

Applying the power property of logarithms, we have that:

[tex]0.385t\log{4} = \log{208.3}[/tex]

[tex]t = \frac{\log{208.3}}{0.385\log{4}}[/tex]

t = 10 days.

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The number of ways to form the committees, using the Fundamental Counting Theorem, are given as follows:

a) President and vice from different grades: 79,800.

b) At least one from each: 141,960.

It is a theorem that states that if there are n independent trials, each with [tex]n_1, n_2, \cdots, n_n[/tex] possible results, the total number of outcomes is calculated by the multiplication of the factorials as presented as follows:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

For item a, there are two possible cases for the parameters, as follows:

Hence the number of ways is:

N = 7 x 15 x 20 x 19 + 15 x 7 x 20 x 19 = 79,800.

For item b, the total number of outcomes is obtained as follows:

N = 22 x 21 x 20 x 19 = 175,560.

The number of outcomes with only grade 11 students is:

N = 7 x 6 x 5 x 4 = 840.

The number of outcomes with only grade 12 students is:

N = 15 x 14 x 13 x 12 = 32760.

Hence the number of students with at least one of each is:

N = 175,560 - (840 + 32,760) = 141,960.

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Answer:

x is 109°

hopefully this will help u