Find the Hcf of .
1. 25 and 30
2. 18 and 30
3. 42 and 84
4. 36, 54 and 72.

Answer: B

Step-by-step explanation:

Because 7 and 2/3 is almost the same as III -7.82 III and [tex]\sqrt65[/tex] is 8.0622577483 so first is 7 2/3 then III -7.82 III and then the root of [tex]\sqrt65[/tex]

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The probability that at least one of the two customers buy a banana ice cream is of:

55/64.

The probabilities are calculated from the tree diagram given by the image at the end of the answer.

The nodes that end up with none customers buying a banana ice cream are given as follows:

Cookie dough -> Cookie dough.

The probability of each node is given by:

3/8.

Hence the probability that none of the two customers buy a banana ice cream is of:

3/8 x 3/8 = 9/64.

None and at least one customer buying a banana ice cream are complementary events, hence the probability is obtained as follows:

1 - 9/64 = 64/64 - 9/64 = 55/64.

The tree diagram that models the situation is given by the image presented at the end of teh answer.

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The coordinate of the point on the directed line segment from (- 10, 2) to (-3,-5) will be;

⇒ (x , y) = (- 6, - 2)

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

The two points are;

(- 10, 2) and (- 3, 5)

And, The partitions the segment into a ratio of 4 to 3.

Now,

Since, We know that;

The The coordinate of the point on the directed line segment from

(x₁, y₁) to (x₂, y₂) that partitions the segment into a ratio of m₁ to m₂ will be;

⇒ x = (m₁ x₂ + m₂ x₁) / (m₁ + m₂)

⇒ y = (m₁ y₂ + m₂ y₁) / (m₁ + m₂)

Hence, The coordinate of the point on the directed line segment from

(- 10, 2) to (-3,-5) will be;

x = (4×-3 + 3×-10) / (4 + 3)

x = (-12 - 30) / 7

x = - 42/7

x = - 6

And,

y = (4×-5 + 3×2) / (4 + 3)

y = (-20 + 6) / 7

y = - 14/7

y = - 2

Thus, The coordinate of the point on the directed line segment from

(- 10, 2) to (-3,-5) will be;

⇒ (x , y) = (- 6, - 2)

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Answer: B SSS

Step-by-step explanation:

The measurement of ∠1 =  136° and ∠2 = x = 44°, using Vertically opposed angles.

What is Vertically opposed angles?

Two lines intersecting at a point create vertical angles. Every time they are on an equal footing. Alternatively stated, four angles are created anytime two lines cross or intersect. Two opposed angles are equal and are referred to as vertical angles, as we can see. Due to their position opposite one another, they are also known as "Vertically opposed angles."

Angles that are vertically opposed to one another at a certain vertex are formed by two straight lines intersecting. The equality of the vertically opposed angles has been established.

∠x = 44

∠2 = x = 44

∠1 + ∠2 = 180

∠1 = 180 - 44 = 136°

Hence, The measurement of ∠1 =  136° and ∠2 = x = 44°.

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Answer:Zn≅Zm implies (Z/2)n≅Zn/2Zn≅Zm/2Zm≅(Z/2)m.

Step-by-step explanation:

Answer:

Papina found 27 more shells than Camila.

Step-by-step explanation:

Let x = the number of seashells that Camila found.

That means that

4x = the number of seashells that Papina found.

Papina's shells + Camila's shells = 45

4x + x = 45

Combine like terms.

5x = 45

Divide by 5.

x = 9

Camila found x shells. That is 9 shells.

Papina found 4x shells.

4x

= 4(9)

= 36

Papina found 36 shells.

36 - 9

= 27

Papina found 27 more shells than Camila.

He should add 7.5 or 7 1/2 cups of water.

Cup of concentrate = 1

Cup of water = 1 1/2

                     = 3/2

                     = 1.5

Cups of concentrate = 5

Cups of water = 5 * 1.5

                       = 7.5

                       = 15/2

                       = 7 1/2

Hence, He should add 7.5 or 7 1/2 cups of water.

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Answer:

x=9

Step-by-step explanation:

9x-7=5x+29

9x=5x+36

4x=36

x=9

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Answer:

Option B

Step-by-step explanation:

If 3 scoops = 6 quarts

Then we divide both sides by 3 to find :

1 scoop = 2 quarts

Now we multiply both sides by 6 :

6 scoops = 12 quarts

Now we multiply the 1 scoop equation by 9 to find the last value in the table :

9 scoops = 18 quarts

These values matches only table B

Hope this helped and have a good day

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The graph of f(x) = 100(0.7)^x is represented by On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100)

Using the exponential function f(x) = 100(0.7)^x the graph is plotted and attached

Other information that can be abstracted from the equation directly

f(x) = 100(0.7)^x

at x = 2

f(x) = 100(0.7)^2

f(x) = 100(0.49)

f(x) = 49

hence the ordered pair is written as (2, 49)

f(x) = 100(0.7)^x

at x = 0

f(x) = 100(0.7)^0

f(x) = 100(1)

f(x) = 100

hence the ordered pair is written as (0, 100)

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The answer is A. its correct on EDGE 2022

The coordinates of point P along QR so that the ratio of QP to PR is 1 to 4 is P(6,3).

It is the comparison of one quantity with another. For example, if your weight is 30 kg and your father's weight is 90 kg, then the ratio of weight is 1:3.

Given:

The coordinates of Q = (8,4),

The coordinates of R = (-2, -1),

The ratio of QP/PR = 1/4,

Calculate the coordinates of the P by the following formula,

P(x, y) = [(mx₂ + nx₁) / m + n , (my₂ + ny₁ ) / m + n]

Here m and n are ratio and m/n = 1/4

Substitute the values,

P(x, y) = [1 × (-2) + 4 × 8] / 1 + 4 , [1 × (-1) + 4 × 4] / 1 + 4

P(x, y) = (6,3)

Therefore, the coordinates of point P along QR so that the ratio of QP to PR is 1 to 4 is P(6,3).

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Sara calculated the unit rate as dollars per orange whereas Sara's friend Daniel calculated unit rate as oranges per dollar.

What is unit rate?

One of a given object constitutes a unit. The cost of only one of an item is its unit rate. With one as the denominator, this is written as a ratio. For instance, you would move 7 yards on average every second if you covered 70 yards in 10 seconds.

Sara said there was a ratio of 12 to 8, so the unit rate was $1.50 per orange, it means she is calculating the unit rate as dollar per oranges.

Whereas, his friend Daniel, he thought the ratio would be 8:12, so the unit rate would be 8/12 oranges per dollar.

In this way both the unit rates are correct.

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Answer:

?

Step-by-step explanation:

c.r.=6/3=12/6=2

[tex]c.r=\frac{a_{n}}{a_{n-1}} \\\frac{a_{n}}{a_{n-1}} =2\\a_{n}=2a_{n-1}[/tex]

The distance between each tick mark on this number line= 1/5 units

What is unit rate?

A unit rate is the cost for only one of anything. This is expressed as a ratio with a denominator of 1. For instance, if you covered 70 yards in 10 seconds, you did so at an average speed of 7 yards per second. Although both of the ratios—70 yards in 10 seconds and 7 yards in one second—are rates, only the latter is a unit rate.

5 equal spaces between 0 and 1 shows,

5 equal spaces= 1 unit

1 equal space = x units

Do the cross multiplication.

5*x=1*1

5x=1

x=1/5

So, the distance between each tick mark on this number line= 1/5 units

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Answer:

1/5 is the answer

The remainder when the given function is divided by x +2 is 36

The given function is

f(x) = 2x⁴+x³-4x²-4x+4

Remainder theorem states that if any polynomial is divided by another factor in the form of x-a , then the remainder will be given by f(a)

Hence remainder = f(-2)

f(-2) = 2(-2)⁴ + (-2)³ - 4(- 2)²- 4 (-2) + 4 = 32 - 8 + 8 + 4 = 36

The Remainder Theorem can be used to tackle polynomial division according to Euclidean geometry. The Remainder Theorem is also known as Bezout's Theorem regarding Approaching Polynomials of Euclidian's Division.

The remainder theorem says that when a polynomial f(x) is divided by the factor (x - a), even though the factor isn't always an element of the polynomial, a smaller polynomial and a remnant are created. Because the result is actually the value of the polynomial f(x), where x = a, this can only occur if f(a) = 0. The remainder theorem can be used to factor polynomials quickly.

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Answer:

[tex]5\frac{1}{3}[/tex]

Step-by-step explanation:

3 5/9 x 1 1/2

32/9 x 3/2

96/18

16/3

5 1/3

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The amount that the owner can expect to sell the SUV in 10 years, given the loss in value annually is  $7, 171 .80

Assuming the selling price of the SUV will be the value of the SUV in 10 years, then the selling price can be found by the formula:

= Purchase price of SUV x ( 1 - percentage loss in value) ^ number of years

Purchase price of SUV = $23, 000

Percentage loss in value = 11%

Number of years = 10 years

The selling price of the SUV is therefore:

= 23, 000 x ( 1 - 11%) ¹⁰

= $7, 171 .80

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Answer:

The value of cos 0 is 1.Here, we will discuss the value for cos 0 degrees and how the values are derived using the quadrants of a unit circle. The trigonometric functions are also known as an angle function that relates the angles of a triangle to the length of the triangle sides.

Trigonometric functions are one of the most important topics which are used in the study of periodic phenomena like sound and light waves, the study of harmonic oscillators and finding the average temperature variations.

The three basic trigonometric ratios are sine function, cosine function, and tangent function. It is commonly defined for the angles less than a right angle, trigonometric functions are stated as the ratio of two sides of a right triangle containing the angle in which the values can be found in the length of various line segments around a unit circle. The angles of a triangle are calculated with respect to sin, cos and tan functions. Usually, the degrees are represented as 0°, 30°, 45°, 60°, 90°, 180°, 270° and 360°.Cos 0 Degree ValueTo define the cosine function of an acute angle, start with the right-angled triangle ABC with the angle of interest and the sides of a triangle. The three sides of the triangle are defined as follows:The opposite side is defined as the side opposite the angle of interest.The hypotenuse side is the side opposite the right angle and it is the longest side of a right triangleThe adjacent side is the remaining side where it forms a side of both the angle of interest and the right angleThe cosine function of an angle is equal to the length of the adjacent side divided by the length of the hypotenuse side and the formula is given by:Cos θ = Adjacent Side / Hypotenuse SideValue of Cos 0 Using Unit CircleAssume a unit circle with the center at the origin of the coordinate axes. Consider that P (a, b) be any point on the circle which forms an angle AOP = x radian. This means that the length of the arc AP is equal to x. So we define that cos x = a and sin x = b

Step-by-step explanation:

lots to read but answer is 1

A) The explicit formula which model this situation will be;

⇒ an = $43,000 + $1,100n

Where, ''an'' be the construction worker's salary in the nth year.

B) The value of a₁₀ = $54,000

C) After 11 years her salary will be $55,100.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A construction worker's starting salary = $43,000.

And, Each year she receives a $1100 raise.

Now,

A) Let ''an'' be the construction worker's salary in the nth year.

So, We can formulate;

⇒ an = $43,000 + $1,100n

B) Since, The construction worker's salary in the nth year is,

⇒ an = $43,000 + $1,100n

Put n = 10, we get;

⇒ a₁₀ = $43,000 + $1,100 × 10

⇒ a₁₀ = $43,000 + $11,000

⇒ a₁₀ = $54,000

C) Let after n year her salary will be $55,100.

So, We can formulate;

⇒ an = $43,000 + $1,100n

⇒ $55,100 = $43,000 + $1,100n

Solve for n as;

⇒ $55,100 - $43,000 = $1,100n

⇒ $12,100 = $1,100n

⇒ n = 12,100 / 1,100

⇒ n = 11

Thus, After 11 years her salary will be $55,100.

Therefore, A) The explicit formula which model this situation will be;

⇒ an = $43,000 + $1,100n

Where, ''an'' be the construction worker's salary in the nth year.

B) The value of a₁₀ = $54,000

C) After 11 years her salary will be $55,100.

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A deferred tax liability can arise when the tax return and the income statement report a revenue or expense in different years

A deferred tax liability is a balance-sheet entry that records taxes that are owed but are not due to be paid until a later date. The liability is postponed due to a timing difference between when the tax was accrued and when it is due to be paid.

On the balance sheet, deferred income tax appears as a liability. The most common cause of deferred income tax is a discrepancy between the IRS and GAAP depreciation methods. Income tax deferral can be classified as either a current or long-term liability.

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The equation to model the total cost, c, in dollars, of a hamburger with t additional toppings on Mondays is c = 3 + 0.50t.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let the additional topping = t

Therefore, the cost will be expressed as:

c = 1/2(6) + (0.50 × t)

c = 1/2(6) + 0.50t

c = 3 + 0.50t

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The proportion of the children identified orange as their favorite type of juice is 400 / 1000.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

From the table

Adults who like oranges= 600

and, Children who like oranges = 400

So, proportion of the children identified orange as their favorite type of juice

= 400/ 1000

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Answer:

The first one

Step-by-step explanation:

The age of Molly is 24 years.

We have two persons. The names of the two persons are Wally and Molly. The age of Wally is 12 years. Billy has a cousin named Molly. The age of Molly is twice the age of Wally. It means that to find the age of Molly, we will multiply the age of Wally by two. Let the age of Molly be represented by the variable "x". A constant's value remains constant across time. A variable, on the other hand, changes its value depending on the equation. Variables are often written in alphabets or symbols. Constants are frequently written in numbers.

x = 2*12 = 24

Hence, Molly is 24 years old.

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Answer:

Step-by-step explanation:

8 10