When x = 60, what is the value of x/5 ?

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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Answer:

A) true

B) true

C) true

hope that helps :)

Step-by-step explanation:

x = pounds of cheaper chocolate

y = pounds of more expensive chocolate

30 pounds for $1.10 per pound were sold.

so, the 30 pounds cost

1.1 × 30 = $ 33.00

and then we know

x + y = 30

0.9x + 1.5y = 33

from the first equation we get

x = 30 - y

and we use that in the second equation

0.9×(30 - y) + 1.5y = 33

27 - 0.9y + 1.5y = 33

0.6y = 6

y = 10 pounds

x = 30 - y = 30 - 10 = 20 pounds

anyway, 10 pounds of the $1.50 chocolate was used.

The graph of the line segment after the translation (x, y) → (x-2, y-3) and (x, y) → (x-4, y + 5) has been drawn.

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).

As per the given coordinate,T(1,2) and U(4,6)

Apply the translation (x, y) → (x-2, y-3)

T(1,2) → T'(1 - 2,2 - 3) = T'(-1,-1)

U(4,6) →  U'(4 - 2,6 - 3) = U'(2,3).

Apply the translation (x, y) → (x-4, y + 5)

T(1,2) → T'(1 - 4,2 + 5) = T'(-3,7)

U(4,6) →  U'(4 - 4,6 + 5) = U'(0,11)

All points have been plotted below.

Hence"After the translations (x, y) → (x-2, y-3)  and (x, y) → (x-4, y + 5), the graph of the line segment has been drawn.".

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Answer:

Translation (x, y) → (x - 2, y - 3):

Translation (x, y) → (x - 4, y + 5):

Step-by-step explanation:

Given endpoints of line segment TU:

Translation 1 (blue on attached diagram)

This means to subtract 2 from the x-values of the endpoints, and subtract 3 from the y-values of the endpoints:

Therefore:

Translation 2 (red on attached diagram)

This means to subtract 4 from the x-values of the endpoints, and add 5 to the y-values of the endpoints:

Therefore:

The maximum error in the calculated area of the disk is 26.39 cm². The percentage error is 3.73%. (Round your answer to two decimal places.)

The radius of a circular disk is given as 15 cm with a maximum error in measurement of 0.28 cm.

Use differentials to estimate the maximum error in the calculated area of the disk.

We know that the formula for the area of a circle is given by:

A = πr²

where r is the radius of the circle.

Using differentials, we have:

dA = 2πrdr

Substituting the given values:

r = 15 cm and dr = 0.28 cmdA = 2π(15)(0.28)dA ≈ 26.39 cm²

Therefore, the maximum error in the calculated area of the disk is 26.39 cm².

The relative error is given by the formula:

Relative error = (Error in measurement / Actual value) × 100%

The actual value of the area of the disk is given by:

A = π(15)²A = 706.86 cm²

Substituting the values we calculated earlier, we have:

Relative error = (26.39 / 706.86) × 100%

Relative error ≈ 3.73%

Therefore, the relative error is approximately 3.73%.

The percentage error is the same as the relative error, which is 3.73%.

Therefore, the percentage error is 3.73%.

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The measure of angle O is 56 and the value of m and n are 8.1 in and 14.5 in respectively.

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The longest side is hypotenuse and it is the side facing the right angle. The other two sides are opposite and adjascent.

sin(tetha) = opp/hyp

cos(tetha) = adj/hyp

tan,(tetha) = opp/adj

angle O = 180-(90+34)

= 180- 124

= 56°

To find m,

Tan 34 = m/12

m = Tan34 × 12

m = 8.1 in

using Pythagoras theorem to find n,

n= √8.1²+12²

n = √65.61+144

n = √209.61

= 14.5 in

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Answer:

The answer is 2.75 gallons.

130.3

85×(23/15) = (X/85) × 85

85×(23/15) = X

X =130.3

The height of the chalkboard is 55.4 in.

A ratio is a relationship between two things when it is expressed in numbers or amounts.

Given that, the aspect ratio in width to height  of a chalkboard is 23:15 and the width is 85 inches,

Let the height be y,

Establishing the ratio,

23/15 = 85/y

y = 15/23x85

y = 55.4

Hence, the height is 55.4 inches.

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Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

combine like terms

(10f -5f)

(8 + 4)

(6g)

The surface area of the triangular prism would be =324,000cm²

To calculate the surface area of the triangular prism the formula that should be given would be as follows:

Surface area of triangular prism;

Surface area of triangular prism;= bh+(b1+b2+b3)l

where:

base length = 20cm

height = 15cm

length = 18cm

SA = 20×15(20+15+25)×18

= 300×60×18

= 324,000cm²

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(-3, 3) and (4, -1) are the points that can be used to form a right triangle to derive the distance formula to find the length of the line segment

Given the line on the xy-plane, we are to determine the points on the line that can be used to determine the distance between the two points.

The required points on the line will be the two endpoints on the line. The end points are (-3, 3) and (4, -1). The distance between this points is expressed as:

D = √(-1-3)²+(4+3)²
D = √14 + 49
D = √63

Hence the points that can be used to form a right triangle to derive the distance formula are (-3, 3) and (4, -1)

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Answer: It’s -1,-3

Step-by-step explanation:

got 100 on the test

The question is an illustration of inequalities and mathematical operations

(a) Amount between $2 and $10.

The amount is calculated as:

\(\mathbf{Amount = \$10- \$2}\)

\(\mathbf{Amount = \$8}\)

Hence, the amount between $2 and $10 is $8

(b) Amount between $10 and $20.

The amount is calculated as:

\(\mathbf{Amount = \$20- \$10}\)

\(\mathbf{Amount = \$10}\)

Hence, the amount between $10 and $20 is $10

(c) Amount greater than $50.

An amount greater than $50 is an amount that have an higher value.

Take for instance: $100

$100 is greater than $50, because it has a higher value.

There is no enough information to solve the other questions

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Answer:

Step-by-step explanation:

we just have to substitute 0 in place of x

1-(0)³, 0³ is still 0, so we're left with 1-0=1

mark me brainliest of it helped

The effect of the decrease on the salary of $54000 will be b. Benefit would decrease by $7,020 annually.

Social security is the safety net that a society offers to individuals and families to ensure that they have access to health care and to assure financial stability, particularly in circumstances of old age, unemployment, illness, invalidity, work injuries, maternity, or the death of a primary earner.

One possible solution to a diminishing Social Security payroll is to decrease the Social Security benefit by 13%. The effect of the decrease will be:

= 13% × $54000

= $7020

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Simplifying this equation, we get:

8 + 4k + 4k + 6 = 30

8k + 14 = 30

8k = 16

k = 2

Therefore, the value of k is 1.

In mathematics, a polynomial is an expression consisting of variables (usually represented by x), coefficients, and non-negative integer exponents, which are combined using the operations of addition, subtraction, and multiplication. For example,

\(3x^2 + 2x - 1\)

is a polynomial with three terms, or a "trinomial," where the variable x is raised to the powers of 2 and 1, and the coefficients are 3, 2, and -1.

The degree of a polynomial is the highest power of the variable in the expression. For example, the polynomial above has a degree of 2, since the highest power of x is 2.

Polynomials are used in many areas of mathematics, including algebra, calculus, and geometry, and are used to model many real-world phenomena.

We can use the remainder theorem, which states that if a polynomial f(x) is divided by (x - a), then the remainder is equal to f(a). In this case, we know that when the polynomial\(l x^3 + kx^2 + 2kx\) + 6 is divided by (x - 2), the remainder is 30. So, we can set up the following equation:

\(x^3 + kx^2 + 2kx + 6 = (x - 2)q(x) + 30\)

where q(x) is the quotient when. \(x^3 + kx^2 + 2kx + 6\) is divided by (x - 2). We don't need to know what q(x) is, since we're only interested in finding k.

Now, let's substitute x = 2 into the equation above:

\(2^3 + k(2^2) + 2k(2) + 6 = (2 - 2)q(2) + 30\)

Simplifying the left-hand side, we get:

\(8 + 4k + 4k + 6 = 30\)

\(16k = 16\)

\(k = 1\)

OR

8 + 4k + 4k + 6 = 30

8k + 14 = 30

8k = 16

k = 2

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Answer:

\(y=-|x+1|+1\)

Step-by-step explanation:

Parent function:  \(y=|x|\)

Reflected in the x-axis:  \(y=-|x|\)

Translated 1 unit to the left:  \(y=-|x+1|\)

Translated 1 unit up:  \(y=-|x+1|+1\)

Answer:

1

Step-by-step explanation:

Answer:

175/48 or 3 31/48

Step-by-step explanation:

7/8 = 7/8

4 1/6 = 25/6

7/8 x 25/6 = 175/48

A trinomial is a polynomial consisting of three terms.

In this case, the expression has three terms. Thus, it is a trinomial.

On the other hand, a cubic trinomial is a trinomial in one variable with a degree of 3.

I

Answer:

The probability is 40%

Step-by-step explanation:

a) There are ten pieces of paper with ten numbers

Probability of selecting four pieces of paper = 4/10 or 40%

Probability that the four numbers selected will have a sum greater than 82 = 82/205 = 40%

Therefore, the probability of selecting four numbers that have a sum greater than 82 out of ten numbers totalling 205 is 40%.

b) Probability is the ratio of the number of outcomes favourable for the event to the total number of possible outcomes.   In other words, it is a measure of the likelihood of an event (or measure of chance).

Answer: 16 white to 5 black

Step-by-step explanation:

Answer:

16:4 or 16 to 4.

Step-by-step explanation:

To solve this ratio, all you have to do is Find the Ratio!

The problem says, there are 16 White Horses and Some black horses. There are 20 horses in this herd so 20 - 16 = 4 so that is your answer

Have an awesome day!

The quotient of the expressions −48.132 and −0.84 will be 57.30. Then the correct option is C.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

Given −48.132 ÷ −0.84.

Then the value of the expression will be

⇒ −48.132 / −0.84

If in the numerator and the denomination, the negative sign is present, then both will cancel out each other.

⇒ 48.132 / 0.84

⇒ 57.30

The quotient of the expressions −48.132 and −0.84 will be 57.30.

Then the correct option is C.

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Check the picture below.

Answer:

Y intercept = (0,4)

X intercept = (6,0)

Step-by-step explanation:

2x+3y=12

To do so, you need to get y on it's own (or on one side)

-3y+12=2x

y-4=-2/3x

y= -2/3x +4

-2/3x= slope while 4= y intercept

You can also graph it on desmos and find the y intercept and x intercept

We want to find the x and y-intercepts of a given equation.

The solution is:

First, we start by defining what x-intercept and y-intercept are.

The x-intercept is the x-value at which the graph of the equation intercepts the x-axis, and is equivalent for the y-intercept.

So, for a given function y = f(x).

We define the y-intercept as the value of y when we define x = 0.

And we define the x-intercept as the value (or values) of x when y = 0.

Here we have:

2x + 3y = 12

So to get the x-intercept, we just need to define y = 0 and solve for x.

2x + 3*0 = 12

2x = 12

x = 12/2 = 6

To get the y-intercept, we just need to define x = 0 and solve for y.

2*0 + 3*y = 12

3*y = 12

y = 12/3 = 4

Then we can conclude:

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Answer: slope is 3, y-intercept is 2

Step-by-step explanation:

The slope of a line is the ratio at which the y value changes with respect to the x value. Since the entire line is straight, the slope at every single point along the line is the exact same. This means that we can find the slope at any point along the line and it'll represent the slope for the entire line.

When x = 0, the y = 2. Therefore we have the point, (0, 2). When x = 1, the y value is y = 5. Therefore, we have another point, (1, 5). The difference between the y values is:

\(5-2=3\)

The difference between the x values is:

\(1-0=1\)

Therefore, their ratio is:

\(3/1=3\)

The y-intercept is the y value at which the function intercepts the y-axis. That would be when y = 2

What is cross multiplication?
To discover the unknown values in a mathematical equation, we cross multiply the numbers in the equation. The method of cross multiplication is frequently employed to identify the missing variable in an equation. We multiply both the numerator and denominator of the provided expression or fractions.
If w/e = r/t is the given expression, then the formula for cross multiplication can be given as: w*t = r*e

For 11, comparing numerators by multiplying the 'x' on right with 2.5 we get, x - y = 2.5x ⇒ 1.5x + y = 0, only possible if y = -1.5x
Therefore, the blank in 11 should be filled using (-1.5x).
For 12, comparing numerators by multiplying LHS with 6 and RHS with 4, we get, 6(h + y) = 4(h - 12) ⇒ 6h + 6y = 4h - 12 ⇒ 6y = -2h -12
⇒ y = (-1/3)h -2
Therefore, the blank in 12 should be filled using (-1/3)h -2.
Similarly, using cross multiplication and equating denominators for the next four, the blank spaces can be constructively filled.

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For us to be able to determine the possible combinations of 4 number from the list of 5 numbers (12, 13, 14, 15, 16), we will be using the following formula:

Where,

n = total numbers of sample in the list = 5

k = selected numbers in the list = 4

We get,

Therefore, the answer is letter B.

For the population to double, it takes around 7.07 hours.

The continuous exponential growth model is given by:

\(N(t) = N0 * e^{rt}\)

Where:

N(t) is the population size at time t

N is the initial population size (at t = 0)

r is the growth rate parameter

t is the time elapsed

We want to find the time t it takes for the population size to double, which means N(t) = 2N. Substituting into the growth model, we get:

\(2N = N * e^{rt}\)

Dividing both sides by N, we get:

\(2 = e^{rt}\)

Taking the natural logarithm of both sides, we get:

ln(2) = rt

Solving for t, we get:

t = ln(2)/r

Substituting r = 0.098 (9.8% as a decimal), we get:

t = ln(2)/0.098

t ≈ 7.07 hours

Therefore, it takes approximately 7.07 hours for the population size to double.

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\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{-11})\hspace{10em} \stackrel{slope}{m} ~=~ 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-11)}=\stackrel{m}{ 4}(x-\stackrel{x_1}{(-3)}) \implies y +11 = 4 ( x +3) \\\\\\ y+11=4x+12\implies {\Large \begin{array}{llll} y=4x+1 \end{array}}\)

The equation is:

Work/explanation:

Recall that the point slope formula is \(\rm{y-y_1=m(x-x_1)}\),

where m is the slope and (x₁, y₁) is a point on the line.

Plug in the data:

\(\rm{y-(-11)=4(x-(-3)}\)

Simplify.

\(\rm{y+11=4(x+3)}\)

Simplified to slope intercept:

\(\rm{y+11=4x+12}\)

\(\rm{y=4x+1}\) <- this is the simplified slope intercept equation