Jaciee‘s mum says she has an hour before bed. Jenny Spends one third of the hour texting a Friend and one fourth of the hour to brushing her teeth and putting on pyjamas The rest of the time she read her book. How many minutes did Jaciee read

Answer:

88

Step-by-step explanation:

METHOD 1:

Find 68% of 275:

275 * 0.68 = 187

Subtract 187 from the total:

275 - 187 = 88 coins

METHOD 2:

100% - 68% = 32%

Find 32% of total:

275 *0.32 = 88 coins

The required with the help of trig ratios we have,
1. x = 30.69
2. x =23.21
4. angle T = 61.42°
5. angle T = 28.5°

If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.

Here,
1.

Apply the sine rule,
Sin21 = perpendicular/hypotenus
sin21 = 11 / x
x = 11/sin21
x = 30.69

Similarly,
2. x =23.21
4. angle T = 61.42°
5. angle T = 28.5°

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The value of CB and DB are 3.25 and 5.2

Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

CA = √ 4²+3²

CA = √ 16+9

CA = √ 25

CA = 5

represent DB by x

5/3+x = 4/5

25 = 4(3+x)

3+x = 25/4

3+x = 6.25

x = 6.25 - 3

x = 3.25

represent CB by y

y² = 3.25² + 4²

y²= 10.56+16

y² = 26.56

y = √ 26.56

y = 5.2

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For the equation -3/2x² = x + 1 the solution set is option D: {(-1 + √5)/3, (-1 - √5)/3}.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

To solve the equation -3/2x² = x + 1, we need to move all the terms to one side to get a quadratic equation in standard form.

We can do this by adding 3/2x² and subtracting 1 from both sides -

-3/2x² - x - 1 = 0

To solve this quadratic equation, we can use the quadratic formula -

x = (-b ± √(b² - 4ac)) / 2a

where a = -3/2, b = -1, and c = -1.

Substituting these values, we get -

x = (-(-1) ± √((-1)² - 4(-3/2)(-1))) / 2(-3/2)

x = (1 ± √(1 - 6)) / (-3)

x = (1 ± √5) / (-3)

So the set of solutions for the equation is -

{(-1 ± √5) / 3, (-1 ± √5) / 3}

Therefore, the answer is option {(-1 + √5)/3, (-1 - √5)/3}.

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Answer:

The difference in elevation between the bottom of the canyon and the bird's nest is the sum of the depths, which is:

72 1/2 + 719 2/5

To add these two mixed numbers, we first convert them to improper fractions:

72 1/2 = 145/2

719 2/5 = (3595/5) + (2/5) = 3597/5

Now we can add them:

145/2 + 3597/5

To add fractions with different denominators, we need to find a common denominator. The smallest common multiple of 2 and 5 is 10, so we can rewrite the fractions with a denominator of 10:

145/2 × 5/5 = 725/10

3597/5 × 2/2 = 7194/10

Now we can add the fractions:

725/10 + 7194/10 = 7929/10

Finally, we can simplify the fraction and convert it back to a mixed number:

7929/10 = 792 9/10

Therefore, the difference in elevation between the bottom of the canyon and the bird's nest is 792 9/10 feet.

The volume of 9/5x2/3x is 2/15.

Volume is the amount of space an object or substance occupies or contains. It is measured in three-dimensional space and is often given in cubic units such as cubic centimeters, cubic meters, and cubic millimeters. Volume is an important concept in physics, chemistry, and other sciences, and is used to describe the size of all kinds of substances, from solids, liquids, and gases to particles and energy fields. Volume is also used to compare the relative sizes of different objects, and to measure the capacity of containers.

To calculate this, we first need to multiply 9/5 and 2/3 together. This gives us 18/15. Then, we multiply this by x. This gives us 2/15x. Therefore, the volume of 9/5x2/3x is 2/15.

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Answer:

Step-by-step explanation:

We can rewrite the situation using cost equations for the two companies

If c1 and c2 represent the total costs for companies 1 and 2 respectively and w the weight of sugar transported

For the first company we have
c1 = 2804 + 100.50w

For the second company
c2 = 275.75w

Costs are the same when c1 = c2

or

2804 + 100.50w = 275.75w

To Solve:

At 16 tons of sugar, the costs will be the same for both companies

At this tonnage, the cost is
275.75 x 16 = $4412

The correct answer is Option c. The test statistic has the value 3.361 and hence the correlation is significant. Since the test statistic (2.824) is lower than the critical value (2.824), the correlation is not significant.

The sample correlation coefficient, r, estimates the population correlation coefficient, ρ. It indicates how closely a scattergram of x,y points cluster about a 45° straight line.

The test statistic has the value 2.824 and hence the correlation is not significant. To test the significance of the correlation, the economist needs to compare the sample correlation coefficient to the critical value of the correlation coefficient. In this case, the critical value of 0.4165 with a sample size of 40 and a 5% level of significance is 2.824.

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Therefore , the solution of the given problem of expressions comes out to be x = 1.0730 is roughly the answer to the equation 10*e(³ˣ) = 250.

When variables are shifting, estimates should be created that mix joining, disabling, and instead of randomly  dividing. They could answer a puzzle collectively, offer some information, and instead software. Formulas, elements, and mathematical operations like addition, subtraction, grouping, and combination are all found in a statement of truth. Words and sentences can both be evaluated and analysed.

Here,

In order to find x in the equation 10*e(3x) = 250, we can start by dividing both parts by 10 to isolate the exponential term:

=> e³ˣ = 25

The exponential can then be removed by taking the natural logarithm (ln) of both sides:

=> ln(e(³ˣ) = ln(25)

We can simplify the left half by using the fact that ln(ey) = y:

=> 3x = ln(25)

By multiplying both parts by 3, we can finally find the value of x:

=>x = (1/3) * ln(25)

We can use a computer to determine that the value of ln(25) is roughly 3.2189. Therefore:

=> x ≈ (1/3) * 3.2189

=> x ≈ 1.0730

So x = 1.0730 is roughly the answer to the equation 10*e(³ˣ) = 250.

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Answer:16.67%.

Step-by-step explanation:

The ratio of raisins to almonds is 2:10, which can be simplified to 1:5.

This means that for every 6 parts of the mix, 1 part is raisins.

To find the percentage of raisins in the mix, we need to divide the amount of raisins by the total amount of mix, and then multiply by 100 to convert to a percentage.

So if we let x be the total amount of mix (in any unit of measurement), then the amount of raisins is (1/6)x.

The percentage of raisins in the mix is:

[(1/6)x / x] x 100% = 16.67%

Therefore, the percent of the raisins in the mix is 16.67%.

Answer:

Distributive property

Step-by-step explanation:

In this problem, you are distributing the 5 to both the [tex]\sqrt{3}[/tex] and the 2. Therefore, the answer is the distributive property

Answer: Distributive property.

Step-by-step explanation: The initial terms are being multiplied by 5 into both terms and they are equivalent by the distributive properly.  

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According to the question the solution to the inequality is x < 6.

Inequality is the unequal distribution of resources, rights, and opportunities among individuals or groups in a society. It is a form of systemic injustice that can take on many forms, such as economic, social, and political. Economic inequality is when people have unequal access to resources such as wealth, income, and education; social inequality is when people have unequal access to social opportunities and resources such as political power, public services, and health care; and political inequality is when people have unequal access to the political process and decision-making, such as voting rights and other forms of representation.

To solve this inequality, we need to isolate the variable on one side. First, let's subtract 8 from both sides:
-4x + 8 > -16
-4x > -24
Now, divide both sides by -4:
-4x/-4 > -24/-4
x < 6
Therefore, the solution to the inequality is x < 6.

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Answer:

That is true.

Answer: True

Step-by-step explanation:

due to the fact that its 2 and every time you multiply by the factor itll equal a even number

Answer: D, 912

Step-by-step explanation:

g(21) = 24 (21 + 17)

g(21) = 24 x 38

g(21) = 912 (Use your calculator for this part)

Answer:

x= -4
y=1

Step-by-step explanation:

-7x + 6y = 34

7x+ 4y =-24
You would add them up together

-7 +7x cancels out. 6y+4y = 10y
34+ (-)24 = 34 - 24 = 10
y= 1
substitute y
7x + 4 = -24
7x= -28
x=-4

Step-by-step explanation:

what is the question ?

to solve this system of 2 equating in 2 variables ?

if so, we start by adding both equations :

-7x + 6y = 34

7x + 4y = -24

----------------------

0 + 10y = 10

y = 1

with that we go into one of the original equations (it did not matter which one, I like the second better) :

7x + 4×1 = -24

7x + 4 = -24

7x = -28

x = -4

The result of alternately adding and subtracting the terms in the nth row of Pascal's triangle is given by the formula

[tex]n C 0 - n C 1 + n C 2 - ... + (-1)^n \times n C n = 0.[/tex]

The binomial theorem and patterns in Pascal's triangle can be used to simplify the given expressions.

Here are the simplified versions of each expression:

9 C 0 + 9 C 1 +…+ 9 C 9 = 2^9 = 512

12 C 0 − 12 C 1 + 12 C 2 −…− 12 C 11 + 12 C 12 = 0

r=0 ∑ 15 15 C r = 2^15 = 32768

r=0 ∑ n n C r = 2^n

If r=0 ∑ n n C r = 16384, then [tex]2^n[/tex] = 16384, so n = 14.

The sum of the squares of the terms in the nth row of Pascal's triangle is given by the formula:

[tex](n C 0)^2 + (n C 1)^2 + ... + (n C n)^2 = 2^{(2n-1).[/tex]

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The number of residents in a city is a discrete variable with ratio level of measurement. Therefore, the correct option is option 3. When a pair of dice are rolled, the pair of mutually exclusive events are getting an odd number on the first die; getting a 4 on the second die. Therefore, the correct option is option 2.

The number of residents in a city is a discrete variable because it can only take on whole number values. The level of measurement for this variable is ratio level because there is a true zero point (a city with zero residents) and the differences between values are meaningful. Therefore, the correct answer is discrete, ratio level which is the third option.

Mutually exclusive events are events that cannot occur at the same time. In the case of rolling a pair of dice, the pair of mutually exclusive events is "Getting an odd number on the first die; getting a 4 on the second die." This is because if the first die is an odd number, the second die cannot be a 4 at the same time.

The other options are not mutually exclusive because they can occur at the same time. For example, it is possible to get an even number on the first die and a double 5 at the same time. Therefore, the correct answer is "Getting an odd number on the first die; getting a 4 on the second die" which is the second option.

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Christine will pay $6.30 for shipping and handling for the lawn mower.

To find the amount of shipping and handling Christine will pay, we can use the formula:

Shipping and Handling = Price x 10%

Substituting the given values into the formula, we get:

Shipping and Handling = $63 x 10%

Simplifying the equation, we get:

Shipping and Handling = $6.30

Therefore, Christine will pay $6.30 for shipping and handling for the lawn mower.

The percentage represents a certain amount, expressed as a fraction of 100 equal parts.

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By answering the above question, we may infer that The rocket will thus equation touch down 2.5 seconds after it was fired (to the nearest tenth of a second).

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.

Hence, we may solve for t by setting the equation for h equal to 0:

[tex]-16t^2 + 120t + 200 = 0\\2t^2 - 15t - 25 = 0\\(-b \sqrt(b2 - 4ac)) / 2a[/tex]

where a=2, b=15, and c=25

[tex]t = (15 \sqrt(625)) / 2(2) (-(-15) \sqrt((-15)2 - 4(2)(-25))) / 4\st = (15 + 25) / 4[/tex]

T thus equals 10/2 or -5/2. Time cannot be negative, thus we may ignore the negative number.

The rocket will thus touch down 2.5 seconds after it was fired (to the nearest tenth of a second).

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The rectangular coordinates of the polar coordinates are as follows:-

a) x = 0 and  y = ( -2 )

b) x = ( -√3/2 ) and y = 1

To convert these polar coordinates to rectangular coordinates, we calculate the following,

a) ( 2, 3π/2 ) :

r=2 ; θ = 3π/2

x = r * cosθ

x = 2 * cos( 3π/2 )

x = 2 * 0

Therefore, x = 0

y = r * sinθ

y = 2 * sin( 3π/2 )

y = 2 * ( -1 )

Therefore, y = ( -2 )

b) ( 1, 5π/6 ) :

r = 1 ; θ = 5π/6

x = r * cosθ

x = 1 * cos( 5π/6 )

x = 1 * ( -√3/2 )

Therefore, x = ( -√3/2 )

y = r * sinθ

y = 2 * sin( 5π/6 )

y = 2 * ( 1/2 )

Therefore, y = 1

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Therefore , the solution of the given problem of equation comes out to be every term in this sequence will be a whole number greater than 7.

Variable words are commonly used in complex algorithms to show consistency between two contradictory claims. Academic expressions called equations are used to show the equality of various academic numbers. In this case, normalization produces a + 7 as opposed to a different algorithm that splits 12 into two parts and can evaluate data received from x + 7.

Here,

The given equation can be used to create a table of values for this sequence, beginning with a1 = 7:

n an

1 7

2 19

3 31

4 43

5 55

6 67

7 79

8 91

9 103

10 115

... ...

We multiply the first term of the sequence by a factor of 1 and add 12 to determine each succeeding term.

=> a2 = a1 + 12 = 7 + 12 = 19

Similarly, we enter n = 3 and a2 = 19 to determine a3:

=> a3 = a2 + 12 = 19 + 12 = 31

so forth.

Because a1 is a whole number greater than 7 and each term in the sequence is obtained by adding 12 to the preceding term,

it should be noted that every term in this sequence will be a whole number greater than 7.

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To find a linear function h(x) given two points, we can use the formula for the slope of a line:
m = (y2 - y1) / (x2 - x1)
Where m is the slope, (x1, y1) and (x2, y2) are the two points.

In this case, the two points are (-3, -4) and (-9, -5). Plugging in the values into the formula, we get:
m = (-5 - (-4)) / (-9 - (-3))
m = (-1) / (-6)
m = 1/6
Now that we have the slope, we can use the point-slope form of a linear equation to find the function h(x):
y - y1 = m(x - x1)
Plugging in the slope and one of the points, we get:
y - (-4) = (1/6)(x - (-3))
y + 4 = (1/6)(x + 3)
y = (1/6)x + 3/6 - 4
y = (1/6)x - 21/6

Simplifying the equation, we get:
y = (1/6)x - 7/2

Therefore, the linear function h(x) is:
h(x) = (1/6)x - 7/2

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The probability of winning on the first try is 0.000003426 .

P(MUF) = P(M) + P(F) - P(M and F) = 73/293 + 79/293 - 14/293 = 138/293

P(B) = 80/293

P(E/S) = P(E and S)/P(S) = 20/293 / 78/293 = 20/78 = 10/39

P(ENS) = P(E and S and N) = 0 (since there is no N category in the table)

P(MUJUH) = P(M and J and H) = 0 (since there is no intersection of all three categories in the table)

P(SEUM) = P(SE and M) = 10/293

P(F/B) = P(F and B)/P(B)

=> 16/293 / 80/293

=> 16/80

=> 1/5

P(AUB) = P(A) + P(B) - P(A and B)

=> .4 + .35 - (.4 * .35)

=> .595
If order matters, the probability is

(5/30) * (4/29) * (3/28) * (2/27) * (1/26) * 5!

=> 0.00002056

The probability of winning on the first try is

(5/30) * (4/29) * (3/28) * (2/27) * (1/26)

=> 0.000003426

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The total expected cost of Alice's train ride will be 20 Euro with a fine of 300 Euro if ticket checked and 0 fine if ticket not checked.

It is known to us that Alice is riding the train, and that she accidentally purchased a ticket for zone 4, although she has to be traveling to zone 5,

with this we need to find how much money can Alice expect to pay

since we know that there is a 5 percent chance that the transit authorities will check tickets,

Probability to check ticket = 5/100 = 0.05

fine = 300 euro

probability to not check ticket = 1 - 0.05 = 0.95

we know that she has already spent 5 Euro on the ticket,

there is a 300 Euro fine if ticket checked,

and 0 fine if ticket not checked,

Expected cost to pay = 5 + 0.05 × 300 + 0.95 × 0

= 5 + 15 + 0

= 20 Euro

Alice Expected to Pay = 20 Euro

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In half an hour, Ellie can cover 12 books.

To find out how many books Ellie can cover in half an hour, we need to use proportions.

We know that Ellie can cover 2 books in 5 minutes, so we can set up a proportion like this:
2 books / 5 minutes = x books / 30 minutes

Cross-multiplying and solving for x, we get:
5 minutes * x books = 2 books * 30 minutes
5x = 60
x = 12

So, Ellie can cover 12 books in half an hour.

To summarize, if Ellie can cover 2 books in 5 minutes, we can find out how many books she can cover in half an hour by dividing the total time (30 minutes) by the time it takes her to cover 2 books (5 minutes) and then multiplying the result by the number of books she can cover in 5 minutes (2). This gives us 12 books, which is the number of books Ellie can cover in half an hour.

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A cluster sample will: b. Seek views from a homogeneous group in the population

A cluster sample is a type of sampling method where the entire population is divided into groups, or clusters, and a random sample of these clusters are selected for the study. Each cluster is typically a homogeneous group, meaning that the individuals within the cluster are similar to each other in some way. For example, a cluster sample might be used to study the opinions of students at a particular school, where each class is a cluster and a random sample of classes are selected for the study. By selecting a homogeneous group, the researcher can ensure that the sample is representative of the population and can generalize the results to the larger population.

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Answer:

Third Option
84 cm²

Step-by-step explanation:

Split the composite figure into two rectangles as shown in the figure

One rectangle has length 12 and width 5 giving an area of 12 x 5 = 60

The other rectangle has length 6 and width 4 giving an area of 6 x 4 = 24

Total area = 60 + 24 = 84 cm²

Third Option

Answer:

Step-by-step explanation:

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Answer:

1

Step-by-step explanation:

3 - 2 = 1