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Answer:

2.84   >   34/13

because 34/13 is equal to 2.61538462 so its shorter

Answer:

Area of yellow portion =54 in

Answer:

x = 15

Angle ABC = 57°

Step-by-step explanation:

Hi there!

We're given:

⇒ ABD is a straight line

⇒ Angle ABC = 5x-18 degrees

⇒ Angle DBC = 8x+3 degrees

ABD is a straight line, meaning it measures an angle of 180 degrees.

Angles ABC and DBC create line ABD, so therefore, their sum is equal to 180 degrees:

\((5x-18)+(8x+3)=180\)

Open the parentheses:

\(5x-18+8x+3=180\)

Combine like terms:

\(13x-15=180\\13x=195\)

Divide both sides by 13 to isolate x:

\(x=15\)

Therefore, x = 15.

To find angle ABC, replace x with 15 in 5x-18:

\(5x-18\\=5(15)-18\\=75-18\\=57\)

Therefore, the measure of angle ABC is 57 degrees.

I hope this helps!

Answer:

\(7 (2)^{3}\) in expanded form is 7

Step-by-step explanation:

Hope this helps! :))

The expanded form of the given expression is 7×2×2×2=56.

The given expression is 7(2)³.

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

Here, 7(2)³

= 7×2×2×2

= 56

Therefore, the expanded form of the given expression is 7×2×2×2=56.

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Answer:

814.795

Step-by-step explanation:

Answer:

\(\huge\boxed{\text{the slope}=\dfrac{2}{3}}\)

Step-by-step explanation:

The formula of a slope

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

Put the coorcinates of the points:

(2, 3); (5, 5)

\(m=\dfrac{5-3}{5-2}=\dfrac{2}{3}\)

(2, 3); (8, 7)

\(m=\dfrac{7-3}{8-2}=\dfrac{4}{6}=\dfrac{4:2}{6:2}=\dfrac{2}{3}\)

The point (2, 3), (5, 5) and (8, 7) are collinear because have the same slope.

Clarice did not verified the answer to verify the check should be 5×\(1\frac{1}{2}\) = \(7\frac{1}{2}\)

A division is a process of splitting a specific amount into equal parts.

Given,

\(7\frac{1}{2}\)÷\(1\frac{1}{2}\)

15/2÷3/2

When fraction is divided by fraction the denominator turns to reciprocal and multiplied with numerator

15/2×2/3=5

Clarice did not verified the answer

5×\(1\frac{1}{2}\) should be equal to \(7\frac{1}{2}\)

Hence, Clarice did not verified the answer to verify the check should be 5×\(1\frac{1}{2}\) = \(7\frac{1}{2}\)

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Answer:

Simplifying

6x + 32 = 180

Reorder the terms:

32 + 6x = 180

Solving

32 + 6x = 180

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-32' to each side of the equation.

32 + -32 + 6x = 180 + -32

Combine like terms: 32 + -32 = 0

0 + 6x = 180 + -32

6x = 180 + -32

Combine like terms: 180 + -32 = 148

6x = 148

Divide each side by '6'.

x = 24.66666667

Simplifying

x = 24.66666667

6x + 32> -4

6x > -4 - 32

6x > -36

x > -6

Answer:

so i hope im understanding this. for every 1 bouqet there is 4 roses 6 white carnations so the amount of roses in total you will need for the 4 bouques is 16 and the amount of carnations is 24

Step-by-step explanation:

1 b= 4r an 6c   r= roses c=carnations

sooo                        4+4+4+4=16      6+6+6+6= 24

1b= 4r 6c

1b= 4r 6c

1b= 4r 6c

1b= 4r 6c

Answer:

c

Step-by-step explanation:

Answer:

20-12=8

here it is the difference is 8.

The expected demand for the high-pressure cleaner is 1.86.

Frequency distribution is a statistical tool that organizes data into different categories and shows how often each category occurs. In this case, the demand for a high-pressure cleaner is the category, and the number of times it occurs is the frequency.

To calculate the expected demand, we need to first find the relative frequency of each demand level. The relative frequency is the percentage of the total number of demands accounted for by each demand level. We can calculate the relative frequency by dividing the frequency of each demand level by the total number of demands.

Total number of demands = 20 + 23 + 27 + 14 + 16 = 100

Relative frequency of demand level 0 = 20/100 = 0.20

Relative frequency of demand level 1 = 23/100 = 0.23

Relative frequency of demand level 2 = 27/100 = 0.27

Relative frequency of demand level 3 = 14/100 = 0.14

Relative frequency of demand level 4 = 16/100 = 0.16

Next, we multiply each demand level by its relative frequency and add the products to get the expected demand.

Expected demand = (0 × 0.20) + (1 × 0.23) + (2 × 0.27) + (3 × 0.14) + (4 × 0.16)

=> 1.86

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Complete Question:

The following data has been recorded regarding the rental history of a high pressure cleaner. Find the expected demand for the high pressure cleaner.

Demand Frequency

0              20

1               23

2              27

3              14

4              16

An interpretation of the relationship between the variables in this graph is that: C. you leave home, drive for 2 hours at a constant speed, and then stop for 1 hour. Finally, you continue at a slower (but constant) speed than before.

A graph can be defined as a type of chart which is used to graphically represent the relationship between the variables in a data set, on both the horizontal and vertical lines of a cartesian coordinate i.e x-axis and y-axis.

By critically observing the graph attached in the image below, we can infer and logically deduce that an interpretation of the relationship between the variables in this graph is that you drove at a constant speed for 2 hours, and then stopped for 1 hour. Finally, you continued at a slower, but constant speed than before.

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Answer:

25%

Step-by-step explanation:

25% of 60 = 15

Answer:

Step-by-step explanation:

The product which we will get after multiplying 3 * 8 * 40 = 960

A method of calculating the sum of two or more numbers is multiplication. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious.

The repetitive addition of one number in relation to another is represented by multiplying two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.

A mathematical operation other than addition, subtraction, and division is multiplication . The multiplication of numbers say, ‘a’ and ‘b’, is stated as ‘a’ multiplied by ‘b’.

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1)

Given measure of angle 2 and angle 4:

∠2 = 5x + 24

∠4 = 6x - 9

Now the two lines are parallel to each other and have a transversal line.

Thus ∠2  and ∠4 form linear pair.

So,

∠2  + ∠4 = 180°
5x + 24 + 6x - 9 = 180°

x = 15.

Now,

∠2  = 5x + 24

∠2  = 5(15) + 24

∠2 = 99°

Hence the angle 2 is of 99° .

b)

Given,

Area of circle = 907.46 in²

Now,

Area of circle = πr²

Calculate r,

907.46 = πr²

r = 16.99 in

Now,

Diameter is double of radius.

d= 2r

d= 33.99 in

Thus diameter of the circle is 33.99 in.

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Answer:

The table represents a nonlinear function because the rate is not constant.

Step-by-step explanation:

As shown in the picture below, the x side of the table has the same rate of change of +1. However, due to the fact that the y side does not have the same rate of change, +6 and +3, the table represents a non linear function. If the rate on the y side of the table were all the same, then this would be a Linear function.

Answer:

3.35

Step-by-step explanation:

hope it helps

Answer:

x = 3

Explanation:

To solve the equation, we need to cross multiply, so:

Then, we can apply the distributive property:

Subtract 3x from both sides of the equation:

Finally, divide both sides by 2:

Therefore, the value of x is 3.

Answer:

y=0.5x + 5

Step-by-step explanation:

The points are (0,5) and (-10,0)

to find the slope do

0-5/-10-0 = 5/10 = 1/2 = 0.5

next plug one of the points into point slope formula

y-y1=m(x-x1)

lets use the point (-10,0)

y1=0

x1= -10

m= 0.5

y-0=0.5(x- -10)

y = 0.5(x+10)

distribute the 0.5

y=0.5x+5

Answer: it means to make larger or smaller.

Step-by-step explanation:

it means to make larger or smaller.

Answer:

A dilation is a transformation that changes the size of a figure. It can become larger or smaller, but the shape of the figure does not change. ... Knowing the scale factor allows you to predict what the image will look like after the dilation.

Step-by-step explanation:

Let J be the money that James saved and let S be the money of his sister.

We have that JAmes saved half the money that his sister saved, then:

then if they both save $30, then james will have saved 3/4 as much as his sister. To represent this in the equation, we have to add 30 to the previous eqution (since James saved $30):

But with the $30 more, James will have 3/4 as much as his sister:

Now, if we match both equations we get:

The measure of angle L is 66 degrees, which is found using the sum of the internal angle of a triangle. The length is 3.56 units.

A polygon's interior angle is the angle created between its two adjacent sides. Alternately, we may state that the internal angle of a polygon refers to the angle measured at the interior portion of a polygon.

Given that the measure of angle M is 24 degrees and angle K is 90 degrees.

The sum of internal angles of a triangle is 180 degrees, thus:

\(\angle M + \angle K + \angle L = 180\\\\24 + 90 + \angle L = 180 \\\\\angle L = 66\)

The length of side LK can be found as follows:

tan 24 = LK / MK

tan 24 = LK / 8

0.44 * 8 = LK

LK = 3.56 units.

The length of LM can be found by applying the Pythagorean theorem.

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Answer:

This is your answer ☺️☺️☺️

The percentage error in the density of metal will be 3.4%.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the density of the metal in the handbook is 4.018 g/mL and the measured value of the density is 4.16 g/mL.

The percentage error will be calculated as:-

Percentage = [ ( 4.16 - 4.018 ) / 4.16 ] x 100

Percentage = 0.034x 100

Percentage = 3.4%

Hence, the percentage error will be 3.4% for the densities.

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Answer:

C

Step-by-step explanation:

Answer:

Volume = 7.912

Step-by-step explanation:

V = πr²h

V = 3.14 × 3/4 × 3/4 × 6 3/4 ( π = 22/7 or 3.14 )

V = 3.14 × 9/16 ×18/4

V = 3.14 × 0.56 × 4.5

V = 7.912