What is the quoteint of 2/3 in 2/9

Answer:

4x25/100=1

Step-by-step explanation:

How I came up with it

4÷100=25

25÷25=1

Julie will only get a 1% discount

Hope it helps

Answer:

the other number would be - 18.

-18 + 6 = -12

Hi!

-6(2y + 3) + 6 = 24

-12y - 18 + 6 = 24

-12y = 24 + 18 - 6

-12y = 36 || : (-12)

y = -3

Answer:

  -7

Step-by-step explanation:

The slope of the line between two points can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

__

Using the first two points from your list, we find the slope to be ...

  m = (29 -36)/(40-39) = -7/1 = -7

The slope of the line is -7.

The probability of successful region is  =241/2500 Option b is correct.

Since √x=12, 12 ≤√x<13 and thus 144 ≤ x  < 169.
The successful region is when 120 ≤ 10√x < 121 in which case 12 ≤√x< 12.1
Thus, the successful region is when
144 ≤ x < 146.41

The successful region consists of a 2.41 long segment, while the total possibilities region is 25 wide. Thus, the probability is
=2.41/25
=241/2500 (B)  


In mathematics, a real number is a quantity that can be expressed as an infinite decimal expansion. In contrast to the natural numbers 1, 2, 3,..., which are derived from counting, real numbers are used in measurements of continuously varying quantities such as size and time.
               

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When 7/8 of the candy bar is split into 3/10 of the bar, the candy bar can make around 2 servings.

In mathematics, a fraction is represented by a number that identifies a portion of a whole. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object.

Given that there is 7/8 of the candy bar. The bar is needed to be further divided into 3/10 of the bar, this can be calculated as follows:

\(\frac{\frac{7}{8} }{\frac{3}{10} } = \frac{7}{8} * \frac{10}{3} = 2.91\)

Hence, we can make 2 serving of the required amount, with an extra piece for third serving. Since, the third serving will not be exactly of the required amount it is not counted.

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For acute angles A and B it is known that sin A - 28/53 and tan B = 4/3. , , the value of cos(A+B) in simplest form is -15/53.

In geometry, an angle is the measure of the amount of turn between two lines that intersect at a point, called the vertex of the angle. Angles are typically measured in degrees, but can also be measured in radians.

Angles can be classified based on their measures. An angle that measures less than 90 degrees is called an acute angle, while an angle that measures exactly 90 degrees is called a right angle. An angle that measures greater than 90 degrees but less than 180 degrees is called an obtuse angle, while an angle that measures exactly 180 degrees is called a straight angle. Finally, an angle that measures greater than 180 degrees but less than 360 degrees is called a reflex angle.

We can start by using the identity:

cos(A + B) = cos A cos B - sin A sin B

To find cos A and sin A, we can use the identity:

sin² A + cos² A = 1

sin A = √(1 - cos² A)

We are given sin A = 28/53, so we can solve for cos A:

sin² A + cos² A = 1

(28/53)² + cos² A = 1

cos² A = 1 - (28/53)²

cos A = ± √[(53/53)² - (28/53)²]

Since A is acute, we take the positive root:

cos A = √(1 - (28/53)²)

To find sin B and cos B, we can use the identity:

tan B = sin B / cos B

We are given tan B = 4/3, so we can solve for sin B and cos B using the Pythagorean identity:

sin² B + cos² B = 1

sin B = (4/3) cos B

(4/3)² cos² B + cos² B = 1

cos² B = 1 / ((4/3)² + 1)

cos B = √(1 / ((4/3)² + 1))

sin B = (4/3) cos B

Now we can substitute all of these values into the formula for cos(A + B):

cos(A + B) = cos A cos B - sin A sin B

cos(A + B) = √(1 - (28/53)²) √(1 / ((4/3)² + 1)) - (28/53) (4/3) √(1 / ((4/3)² + 1))

cos(A + B) = (√((53² - 28²) / 53²)) (√(9 / (16 + 9))) - (4/3) (28/53) (√(9 / (16 + 9)))

cos(A + B) = (45/53) (√(9/25)) - (112/265) (√(9/25))

cos(A + B) = (9/53) - (24/53)

cos(A + B) = -15/53

Therefore, cos(A + B) = -15/53.

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Answer:

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

You are multiplying both numerator and denominator by 2 1/2

So first of all we have "13 times b plus 2". 13 times b is given by just taking the variable and multiplying it by 13:

Then we add 2 to this expression so we get:

At item 2 we have "27 multiplied to w divided by 3". We first multiply 27 and w:

Then we divide this expression by 3:

In item 3 we have "The square of the quotient of 54 and j". We first write the quotient of 54 and j:

Then we square it:

At 4. we have "K divided by the square root of 6". The square root of 6 is:

Then we take K and we divide it by this root:

Finally, we must translate "Q to the 10th power subtracted from 100​". Q to the 10th power is:

Then we take 100 and we substract the last expression:

Then the answers are:

Answer:

The length will be 4.5 × 3.5 = 15.75 feet

The width will be 6 × 3.5 = 21 feet

So the area will be

15.75 feet × 21 feet = 330.75 square feet

Answer:

D

Step-by-step explanation:

Quotient means that it is a division equation.

Hope this helps!

Answer:

n(A)= 10

Step-by-step explanation:

Hope it is ..mark me as brilliant

Answer: 9x * 1024x or

9126x if you need it that way

Step-by-step explanation: 3x to the power of 2 is 3x3 which is 9

4x to the power of 5 is 4x4x4x4 which is a bit harder but the answer comes out to 1024

4x4 = 16

16x4 = 64

64x4 = 256

256x4 = 1024

According to the given data the length of a \(90^{0}\) arc is \(\pi /2\) or approximately \(1.57\) feet.

In geometry, the length of an arc is the distance along the curved line that makes up the arc. It is a measure of the "length" of a portion of a circle's circumference, and it is usually expressed in the same units as the circle's radius.

According to the given information:

The length of a \(90^{0}\) arc in a circle with radius \(1\) foot can be calculated using the formula:

Length of arc = (angle/\(360\)) x \(2\pi r\)

where angle is the central angle of the arc in degrees, r is the radius of the circle, and \(\pi\) is a mathematical constant approximately equal to \(3.14159\).

Substituting the given values, we have:

Length of arc = (\(90/360\)) x \(2\pi(1 ft)\)

Length of arc = \((1/4)\) x \(2\pi ft\)

Length of arc = \(\pi /2 ft\)

Therefore, the length of the \(90^{0}\) arc is \(\pi /2 feet\) or approximately \(1.57 feet\)

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the length of the 90° arc is π/4 feet or approximately 0.785 feet

What is arc of circle?

In geometry, an arc of a circle is a portion of the circle's circumference. It is defined by two endpoints and all points along the circle between those endpoints. The measure of an arc is typically given in degrees or radians and can be used to calculate various properties of the circle, such as its length, area, and sector angles.

The formula for the length of an arc is:

L = (θ/360) × 2πr

where L is the length of the arc, θ is the central angle of the arc in degrees, and r is the radius of the circle.

In this case, θ = 90° and r = 1 ft, so we have:

L = (90/360) × 2π(1) = (1/4) × π = π/4

Therefore, the length of the 90° arc is π/4 feet or approximately 0.785 feet (rounded to 3 decimal places).

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the answer is: q=3

start by combining like terms (13q - 9q) which would leave you with 4q + 5 = 17. subtract 5 from both sides and you're left with 4q = 12. divide by 4 on both side and you get q = 3

Answer:

q=3

Step-by-step explanation:

13q - 9q + 5 = 17

13q - 9q = 17 - 5

4q = 12

4q/4 = 12/4

q = 3

Answer:

73.0 m²

Step-by-step explanation:

\( A = \dfrac{n}{360^\circ}\pi r^2 \)

\( A = \dfrac{130^\circ}{360^\circ}\pi (8.02~m)^2 \)

\( A = 73.0~m^2 \)

Answer:

Option 3

(3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Step-by-step explanation:

Factorize polynomials:

Use exponent law:

                   \(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)

9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²

25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²

Now use the identity:  a² - b² = (a +b) (a -b)

Here, a = 3xy³ & b = 5x²y⁴

9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²

                       = (3xy³)² - (5x²y⁴)²

                      = (3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Answer: 18

Step-by-step explanation:

Multiply number of each item possible

3*2*3=18

The difference (Dogs – Cats) in the sample proportions of those that get their teeth cleaned typically varies about 0.054 from the true difference in proportions.

The third option is correct.

What is the standard deviation?

Standard deviation is a statistical measure of the spread of a dataset, defined as the square root of its variance. It is a way to quantify the amount of variation or dispersion of a set of data values.

Percentage of Dogs getting their teeth cleaned = 48% = pD

Percentage of Cats getting their teeth cleaned = 35% = pC

Number of Dogs selected = nD = 25

Number of Cats selected = nc = 32

As the sample sizes are large enough, we can apply Central Limit Theorem

According to Central Limit Theorem for proportions –

pD-hat ~ Normal(pD, {pD*(1-pD)}/nD)

Thus, pD-hat ~ Normal(0.48, 0.009984)

Similarly,

pC-hat ~ Normal(pC, {pC*(1-pC)}/nC)

Thus, pC-hat ~ Normal(0.35, 0.0071094)

Now if X ~ N(E(X), Var(X)) and Y ~ N(E(Y), Var(Y))

then X -Y ~ N(E(X)-E(Y), Var(X)-Var(Y)) (If X and Y are Independent)

Thus,

pD-hat - pC-hat ~ Normal(0.48-0.35, 0.009984 – 0.0071094)

pD-hat - pC-hat ~ Normal(0.13, 0.0028746)

Thus, Standard Deviation of pD-hat - pC-hat = (0.0028746^0.5) = 0.0536 that is 0.054 approximately

Hence, the difference (Dogs – Cats) in the sample proportions of those that get their teeth cleaned typically varies about 0.054 from the true difference in proportions.

Third Option is correct.

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Answer:

a) 952

b) 136

Step-by-step explanation:

Ratio of b:g = 3:4, based on this we have:

Number of spectacle wearers:

Number of those not wearing spectacles:

And this number equals to 612, then we can find the value of x:

a) Total number of pupils:

b) The difference in the number of boys and girls:

Answer:

total number of students: 952

number of girls more than boys :136 more girls

Step-by-step explanation:

1/3 of boys +3/8 girls= spectacles

612 people do not wear spectacles

3:4= boys: girls

total number of students

3+4=7

boys + girls = total ratio

7= total ratio

1/3×3=1 3/8×4=3/2

1+3/2=5/2

7-5/2=9/2 9/2=612 students

If 9/2=612 Then 7=?

7= 7÷ 9/2×612

=952 people

Girls more than boys

if 7= 952

3= 3/7 × 952=408 boys

if 7 = 952

4= 4/7 ×952=544girls

Girls - boys

544- 408 = 136 girls

Answer:

A, Between 9 and 10 am

Step-by-step explanation:

The math is simple. between 9 and 10 theres 1 hour, and between 28 and 67 there are 39 P(t).

Between 10 and 15 there are 5 hours, and between 67 and 212 there are 145 P(t), which divided by 5 is 29.

You divide by 5 to get the same amount of hours to compare both

9-10 am= 39

10-15am/pm= 29

Therefore, the number of people increased faster between 9 and 10 am.

The rate of increase of population is faster between t = 9 to t = 10.

The ratio of two numbers a and b can be written as a : b = a/b.

The ratio of two quantities is the unit rate of one quantity with respect to the other.

The table for the population and time can be formed as follows,

Population                               Time in hours

28                                                 9

67                                                 10

212                                                15

Now, the increase in population can be obtained by taking the ratios as follows,

Increase in population between t = 9 to t = 10 is given as,

(67 - 28) ÷ (10 - 9)

⇒ 39

And, between t = 10 to t = 15, it is given as,

(212 - 67) ÷ (15 - 10)

⇒ 145 ÷ 5 = 29

Thus, the rate of increase is more from  t = 9 to t = 10.

Hence, the faster increase is given in time interval of  t = 9 to t = 10.

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Answer:eita moçaa

Stedssfsdsvbg´xclmvb´zdmfbhd

da

Answer: The answer is b

Step-by-step explanation:

The number of republicans and democrats will be 47 and 53 respectively.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It shows that the expressions printed on the left and right sides have an equal relationship. In any mathematical equation, we have LHS = RHS (left hand side = right hand side). Equations can be solved to find the value of an unknown variable that represents an unknown quantity.

Given data -

Total number of members in U.S senate = 100

Let the number of republicans in U.S senate be x members

As republicans outnumber democrats by six,

Therefore, number of democrats = (x+6) members

According to the given data,

x + (x+6) = 100

2x + 6 = 100

2x = 94

x = 47

Number of members as a republicans will be 47.

Number of members as a democrats will be (100-47) = 53

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Answer:

-4u-18

Step-by-step explanation:

The correct option is option B) ​False, although a theorem cannot be strengthened by additional​ information, but it can be proven false by a counterexample.

What is a theorem?

a statement which has been proved true by a special kind of logical argument called a rigorous proof.

When we have a theorem there will certain exceptions which will not follow  the theorem We call them as counter examples. By stating such counter example we either prove theorem wrong or prove the restrictions of the theorem

Hence the correction option is option B) ​False, although a theorem cannot be strengthened by additional​ information, but it can be proven false by a counterexample.

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For the given figure, we will find the measure of each angle:

1) ∠a ad ∠35 are the same side interior angles

So, ∠a = 180 - 5 = 145

2) ∠a and ∠b are forming a straight angle

So, ∠b = 180 - ∠a = 180 - 145 = 35

3) ∠c = ∠a, the alternative angles are congruent

∠c = 145

4) ∠e and ∠110 are the same side interior angles

∠e = 180 - 110 = 70

5) ∠d = ∠e; the alternative ngles are congruent

∠d = 70

6) ∠f and ∠e are supplementary angles

∠f = 180 - ∠e = 180 - 70 = 110

7) ∠g and ∠125 are the same side interior angles

∠g = 180 - 125 = 55

8) ∠h = ∠125; the alternative angles are congruent

∠h = 125

9) ∠i and ∠g are supplementary angles

∠i = 180 - ∠g = 180 - 125 = 55

10) ∠j and ∠130 are supplementary angles

∠j = 180 - 130 50

11) ∠m = ∠j; the alternative angles are congruent

∠m = 50