For every 2 hours that Tina spends studying, she often spends 10 hours on the phone. If Tina spent 65 hours on the phone, how many would you expect her to spend studying

The identity property of addition states that if we sum zero to a number, the result will be the same number.

When we have the equation

And evaluate at m = 0, we just substitute m in the equation for our value

And this is the definition of the identity property.

Answer:

$ 27.6.

Step-by-step explanation:

Let the cost of tea be C.

Let the mass of tea be M

From the question given, we were told that the cost of tea varies directly with the mass. This can be expressed as:

C & M

C = KM

K is called constant of proportionality.

C is the cost of the tea.

M is the mass of tea.

Next, we shall determine the constant of proportionality, K.

Cost (C) = $ 10.35

Mass (M) = 4.5 kg

Constant (K) =..?

C = KM

10.35 = K × 4.5

Divide both side by 4.5

K = 10.35/4.5

K = 2.3

Finally, we shall determine the cost of 12kg of tea as follow:

Mass (M) = 12 kg

Constant (K) = 2.3

Cost (C) =..?

C = KM

C = 2.3 × 12

C = $ 27.6

Therefore, the cost of 12 Kg of tea is $ 27.6

Answer:

$27.6

Step-by-step explanation:

10.35 divided by 4.5 = 2.3

$2.3 for 1 kg

2.3 times 12= 27.6

The measure of the largest angle is 96 degrees.

What is a ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3

The measure of the largest angle in the triangle is 96 degrees.

To find the measure of the largest angle, we can use the fact that the sum of the measures of the angles in a triangle is always 180 degrees.

Let's call the measures of the three angles x, y, and z, where x is the measure of the smallest angle, y is the measure of the middle angle, and z is the measure of the largest angle.

We are given that the ratio of the angles is 3:5:8, which means that x:y:z = 3:5:8.

We can set up the following equation to represent the sum of the measures of the angles in the triangle:

x + y + z = 180

We can also set up the following equation to represent the ratio of the angles:

x : y : z = 3 : 5 : 8

We can use these two equations to find the measure of the largest angle.

First, let's multiply the second equation by 3, 5, and 8 to get:

3x = 15y = 24z

Then, we can substitute these equations into the first equation to get:

15y + 24z = 180

Solving for z, we get:

z = 180 / (15+24) = 180 / 39 = 96

Therefore, the measure of the largest angle is 96 degrees.

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the answer is

\(x = \frac{n - c}{p + 1} \)

Step-by-step explanation:

add x to both sides of the equation

subtract c from both sides of the equation

factor x out of px+x

divide each term by p+1 and simplify and that how you get your answer.

  m = 133°

Step-by-step explanation:

You want the value of m in the given polygon.

The sum of interior angles in a heptagon is (7 -2)(180°) = 900°.

This fact is used to find the value of m:

  138 +106 +(m -9) +m + 133 +120 +(m +13) = 900

  3m = 399 . . . . . . . subtract 501

  m = 133 . . . . . . . . divide by 3

The value of m is 133°.

__

Additional comments

We suspect your answer will be just the numerical value.

An n-sided polygon has a sum of angles equal to (n -2)(180°).

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Write an example from daily life that uses rational numbers .

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Answer:

Slope: -5 Y-intercept: 3

Step-by-step explanation:

the slope intercept of a linear equation is:

y=mx+b

were m is slope. and b is the y intercept

therfore the problem is:

y=-5x+3

m=-5 so the slope is -5

b=3 so the y-intrercept is 3

Answer:

-5

Step-by-step explanation:

The slope is always in front of the x

The area of the sign is 35 square feet. The solution has been obtained by using the area of the trapezoid.

The entire area occupied by the sides of a trapezoid is its area. A trapezoid's area is determined by how many unit squares fit inside of it.

We know that area of the trapezoid is

Area (A) = (a + b ) * h/ 2

Now, here we are given the following:

a = 8

b = 6

h = 5

Now, on substituting these values in the formula, we get

⇒A = (8 + 6 ) * 5 / 2

⇒A = (14 * 5) / 2

⇒A = 70 / 2

⇒A = 35 square feet

Hence, the area of the sign is 35 square feet.

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The six-digit number that satisfies all the given rules is 123,565.

To form a six-digit number that follows all the given rules, we can start by considering the divisibility requirements. Since the first two digits (starting from the left) must be divisible by 2, the last digit (the sixth digit) must be an even number. The available options are 2, 4, or 6.

The sum of the digits in a number must be divisible by 3 for the number itself to be divisible by 3. So, let's consider the possibilities for the last three digits (the fourth, fifth, and sixth digits) that can form a sum divisible by 3:

  - 1 + 2 + 3 = 6

  - 1 + 2 + 6 = 9

  - 1 + 4 + 5 = 10

  - 1 + 4 + 6 = 11

  - 2 + 3 + 6 = 11

 - 3 + 4 + 5 = 12

  - 3 + 4 + 6 = 13

  - 4 + 5 + 6 = 15

The only option that gives a sum divisible by 3 is 3 + 4 + 5 = 12.

For a number to be divisible by 4, the last two digits (the fifth and sixth digits) must form a two-digit number divisible by 4. Given that the fifth digit must be 5, the only possible options for the sixth digit are 2 or 6. Thus, the available two-digit numbers are 52 and 56.

Since the last digit (the sixth digit) must be even, we can't use the two-digit number 52, leaving 56 as the only option. Thus, the last two digits are 5 and 6. For a number to be divisible by 6, it must be divisible by 2 and 3. The only remaining option for the first three digits is 123.

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X=49°

Step-by-step explanation:

we have an isosceles triangle

thus our equation is

x+x+82=180°

=>2x+82°=180°

cancel 82 from both sides

=>2x=98

divide both sides by 2

therefore

X=49

The amount of rain the city received in July is r = 2.5 inches

Given data ,

City received 3/4 inch of rain on July 31

Now , it represents 3/10 of the total amount of rain this to received in July

So , the equation is represented as A

Now , the value of A is

( 3/10 )r = 3/4

Multiply by 10 on both sides , we get

3r = 30/4

Divide by 3 on both sides , we get

r = 30/12

r = 2.5 inches

Hence , the city received 2.5 inches of rain

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Answer:

Step-by-step explanation:

<A = <C

The angles meeting at B and are part of the triangle are vertically opposite and therefore equal.

<E  and <D are equal. (given)

Therefore by angle angle angle, the two connected triangles are similar

AD/CE = 12/x        from <A = <C

27/23.4=12/x         Cross Multiply

27x = 12*23.4        Combine the Right Side

27x = 280.8           Divide by 27

x = 280.8/27

Answer: x = 10.5 cm

Answer:

Hi,

6

Step-by-step explanation:

the number divided by 5 has a remainder of 1 , its last digit is 1 or 6.

the number is divisible by 2, its last digit is 0 or 2,or 4, or 6 or 8.

Both conditions give : the last digit must be 6.

Answer:

The inequality is x less than or equal to 6. So the amount of hours they can rent it is  6 hours or less.

Step-by-step explanation:

5.80x + 39 <_ 73.80 ----> subtract 39 on both side to get ---> 5.80x <_ 73.80 -----> then divide by 5.80 on both sides to get ---> x <_ 6.

Hope this helped!

Answer:

60%

Step-by-step explanation:

The correct answer is b. we know the standard deviation of the population.

The Nearly Normal condition, also known as the Central Limit Theorem, states that the sampling distribution of the sample mean tends to be approximately normal, even if the population distribution is not normal, under certain conditions. One way to meet the Nearly Normal condition is by knowing the standard deviation of the population.

When the standard deviation of the population is known, the sample size does not have to be large for the sampling distribution of the sample mean to be approximately normal. This is because the standard deviation provides information about the variability of the population, allowing for a more accurate estimation of the sample mean distribution.

While the other options (a, c, and d) may be relevant in specific scenarios, they are not directly related to meeting the Nearly Normal condition as defined by the Central Limit Theorem.

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The shirt that Brian can iron in a minute is 5/81.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. A fraction is used to denote a portion or component of a whole. It symbolizes the proportionate parts of the whole.

If you keep in mind this tip, you can quickly calculate a fraction of an amount: "Divide by the bottom and times by the top." In order to find the answer, you must first divide the amount by the denominator and then multiply the result by the numerator.

There are three major types of fractions. They are proper fractions, improper fractions, and mixed fractions

Here, set up a proportion (shirt ironed/minutes = shirt ironed/minutes). I'll convert 3 3/5 to an improper fraction as well to set it up.

(2/9) / (18/5) = x / 1

Cross multiply

2/9 = (18/5)x

Multiply both sides by 5/18 to solve for x.

10/162 = 5/81

The Fraction is 5/81.

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Complete question

Brian irons 2/9 of his shirt in 3 3/5 minutes. If Brian irons at a constant speed how much of his shirt does he iron in a minute

In general, two congruent segments have the same measure. Since no more information about the figure is given, we would need to estimate the measurement of each of its segments.

A) Notice that

B)

C)

D)

E)

Answer:

The area of each section of the circle is 25\pi\ m^{2}25π m2

Step-by-step explanation:

we know that

The area of a circle is equal to

A=\pi r^{2}A=πr2

we have

r=10\ mr=10 m

substitute

A=\pi (10^{2})=100\pi\ m^{2}A=π(102)=100π m2

To find the area of each section divide the complete area of the circle by 44

so

100\pi\ m^{2}/4=25\pi\ m^{2}100π m2/4=25π m2

Answer:

22

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

22 add 5 subtract 4 add 7 and subtract 8

Answer:

Step-by-step explanation:

$105.20

Answer:

Exact Form:

11/6

Decimal Form:

1.83

Mixed Number Form:

1 5/6

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Answer:

3/8

Step-by-step explanation:

The exact value  of \(sin 2x\) is \(4√5/9.\)

Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.

In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)

Also, we know that sin \(2x = 2 sin x cos x.\)

Now, we need to find sin x.

Having sec x = 3/2, we can use the Pythagorean identity

\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)

As x is in the first quadrant, it lies between 0° and 90°.

Therefore, x cannot be negative.

Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)

Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)

Therefore, the exact value  of sin 2x is 4√5/9.

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To make layla's favorite shade of purple, she needs 8 ounces of blue for every 14 ounces of red, and she need for 63 ounces of red, then the blue would be 36 ounces.

To make layla's favorite shade of purple, she needs 8 ounces of blue for every 14 ounces of red.

Based on the given conditions,

She needs ounces of blue = 8

For every ounces of red = 14

She need for 63 ounces of red = 63

Let us assume,

She need for ounces of blue = x

So,

We can write,

Need for 63 ounces of red ⇒ Every 14 ounces of red

she needs 8 ounces of blue ⇒ She need for X ounces of blue

Then,

\(\frac{8}{14}\) = \(\frac{x}{63}\)

We can solve the equation of \(\frac{8}{14}\) = \(\frac{x}{63}\)

Swap the sides,

\(\frac{x}{63}\) = \(\frac{8}{14}\)

Divide both sides of the equation by the coefficient of variable,

\(x\) = \(\frac{8}{14} *63\)

Simplify fractions,

x = 4*9

Calculate the product or quotient,

x = 36

Therefore,

To make layla's favorite shade of purple, she needs 8 ounces of blue for every 14 ounces of red, and she need for 63 ounces of red, then the blue would be 36 ounces.

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Therefore , the solution of the given problem of angle comes out to be ∠1 ≅ ∠4, and ∠3 ≅ ∠5 are different interior angles they are congruent.

The circular lines that make up a skew's extremities are divided using Cartesian coordinates by the walls at the top and bottom. A junction point may result from the convergence of two beams. Angle is another outcome of two things colliding. They mirror dihedral shapes the most. A two-dimensional curve can be created by arranging two line beams in various ways at their extremities.

Here,

The right response is:

=> C. The following are true: ∠1 ≅ ∠4, and ∠3 ≅ ∠5.

Alternate Interior Angles Theorem is the cause.

This is due to the Alternate Interior Angles Theorem, which asserts that the alternate interior angles are congruent if a transversal intersects two parallel lines.

As can be seen, in this instance, ∠1 ≅ ∠4, and ∠3 ≅ ∠5 are different interior angles, and as such, they are congruent.

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There are no values of $b$ for which the base-$b$-representation of $2013$ ends in the digit $3$. For a number to end in the digit $3$ in base-$b$ representation, it must be congruent to $3$ modulo $b$.

We can rewrite $2013$ as $2 \cdot 10^3 + 0 \cdot 10^2 + 1 \cdot 10^1 + 3 \cdot 10^0$. Now, if $2013$ is congruent to $3$ modulo $b$, it means that $2 \cdot 10^3 + 0 \cdot 10^2 + 1 \cdot 10^1 + 3 \cdot 10^0$ is also congruent to $3$ modulo $b$.

Simplifying the expression, we have $2000 + 0 + 10 + 3$. Since the base-$b$-representation is formed by multiplying each digit by the corresponding power of $b$, we can rewrite the expression as $2 \cdot b^3 + 1 \cdot b^1 + 3 \cdot b^0$. We can now observe that the constant term $3 \cdot b^0$ will always be congruent to $3$ modulo $b$. However, the other terms $2 \cdot b^3$ and $1 \cdot b^1$ will not be congruent to $3$ modulo $b$ for any positive value of $b$. Therefore, the base-$b$-representation of $2013$ cannot end in the digit $3$ for any value of $b$.

Hence, there are no values of $b$ for which the base-$b$-representation of $2013$ ends in the digit $3$.

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To convert the given ambiguous grammar into an unambiguous one, we need to remove the ambiguity by specifying a unique parse tree for every valid input string.

One way to do this is to introduce a new nonterminal symbol for each operator and rewrite the grammar rules accordingly. The unambiguous grammar for the given ambiguous grammar is as follows:

bexp → bterm or bexp

bexp → bterm

bterm → bfactor and bterm

bterm → bfactor

bfactor → not bfactor

bfactor → bool

bool → T

bool → F

Here, we have introduced new nonterminal symbols for each operator (or, and, not) and have written separate rules for each operator. This unambiguous grammar ensures that every valid input string has a unique parse tree.

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