In Figure 1, a parallelogram is drawn in a trapezium. If the area of the parallelogram is 390 cm², find the area of the trapezium.​

Exact Form:

774/25

Decimal Form:

30.96

Mixed Number Form:

30 24/25

You probably need to put in The Decimal Form

Answer:

51 3/5

Step-by-step explanation:

[tex]\frac{2}{3} *8\frac{3}{5} * 9\\[/tex]   turn the mixed number into an improper fraction first. So, turn

8 3/5 into 43/5.

Also, turn the 9 into 9/1 to make it easier to multiply with

Now multiply all together:

2/3 * 43/5* 9/1

= 774/15

Simplify:

i divided both numerator and denominator with 3 because that is a common factor

=258/5

Answer= 51 3/5  is the mixed number

Question:

Solution:

Consider the following functions:

and

a) f(-3):

if we evaluate the function f at x = -3, we get:

so that, the correct answer is:

b) g(4):

if we evaluate the function g at x = 4, we get:

so that, the correct answer is:

c) f(3)*g(3):

Step 1: evaluate f at x = 3:

Step 2: evaluate g at x = 3:

Step 3: multiply f(3) and g(3):

so that, we can conclude that the correct answer is:

B (second option)

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Answer:

See below

Step-by-step explanation:

x-axis intercept occurs when y = 0

5x + 2(0) = 6

x = 6/5

y axis intercept occurs when x = 0

5(0) + 2y = 6

y = 3

The value of x is 4.

When two parallel lines are intersected by a transversal, the exterior angles created on either side of the transversal are equal, according to the alternate exterior angle theorem.

The given angles are 2x + 19° and x + 23°.

As these pair of angles are created on the outer side of the parallel lines but on the other side of the transversal, they are alternate exterior angles.

Using the Alternate Exterior Angles Theorem,

2x + 19° = x + 23°

2x - x = 23° - 19°

x = 4

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The area ratio is 100:49.

The ratio of areas equals the ratio of squares of matching sides.

Let's put this fraction of comparable ratios into an equation and then input in our two known values to get our two unknown values:

(10)2 : (7)2 = 100 : 49

The ratio of two identical figures areas is equal to the square of the ratio of their corresponding sides.

For instance, if the ratio of the respective widths of two comparable rectangles is 2:3, the ratio of their areas is

22:32=4:9: 2 = 4: 9

Hence the ratio of the areas is 100 : 49

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Answer:

b step 2 is incorrect answer

If Keilantra will make a guaranteed wage of $40 and she will get about $14 in tips for each table she waits on,

Part 1

If Keilantra waits on 17 tables, the she will earn $278

Part 2

If Keilantra waits on t tables, the she will earn 40+14t

The guaranteed wage she earn = $40

The amount she earn for each table she waits as tip = $14

Part 1

The number of table she waits on = 17 tables

Then the amount she earn in a day = The guaranteed wage she earn +The amount she earn for each table she waits as tip × The number of table she waits on

= 40+14×17

= 40+238

= $278

Part 2

The number of table she waits on = t tables

Then the amount she earn in a day = 40+14t

Hence, if Keilantra will make a guaranteed wage of $40 and she will get about $14 in tips for each table she waits on,

Part 1

If Keilantra waits on 17 tables, the she will earn $278

Part 2

If Keilantra waits on t tables, the she will earn 40+14t

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The number of Students enrolled in US universities & Colleges in 2017 will be 20, 460,000

Mathematical formulas can be used to solve issues or situations in the real world thanks to the area of mathematics known as algebra. To create a valid mathematical expression, you need variables like x, y, and z as well as mathematical operations like addition, subtraction, multiplication, and division. Calculus, trigonometry, and coordinate geometry are just a handful of mathematics subjects that use algebra. A simple algebraic equation is 2x + 4 = 8. Operations on variables and constants, such as addition, subtraction, multiplication, and division, result in algebraic expressions.

Students' enrollment in US universities

in 1980 = 12, 400, 000

In 2017 the percent increase = 65%

So,

65% of 12, 400,000

= 12,400,000 X 65%

= 8,060,000

The number of Students enrolled in US universities & Colleges in 2017 will be

= 12, 400,000 + 8,060,000

=20, 460,000

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The solution for the system of linear equations y = 5 − x and 4x + 2y = 10 are x = 0 and y = 5

Linear equations are equations that have constant average rates of change.

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

y = 5 − x

4x + 2y = 10

Substitute y = 5 − x in the equation 4x + 2y = 10

So, we have the following equation

4x + 2(5 - x) = 10

Open the brackets

4x + 10 - 2x = 10

Evaluate the like terms

2x = 0

Divide through by 0

So, we have

x = 0

Substitute x = 0 in y = 5 - x

y = 5 - 0

Evaluate the like terms

y = 5

Hence, the solution of the equations are x = 0 and y = 5

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Step 1

Given; Which toolkit function is this? I am always continuous and have a point of inflection at the origin. My range is from a negative one to one.

Step 2

The function that is always continuous and has a point of inflection at the origin with its range going from -1 to 1 is

From the graph, the range is from -1 to 1.

Answer;

Carson will make $686.25 in a week.

This problem can be solved by using percentage.

Percentage is the measure of a quantity with respect to its whole.

Given,

The total salary of Carson in a week is = $450

Also he gets a commission of 15% on making sales for a week.

In a week he makes a sales of $1575.

Commission for this week = 15% of 1575

                                           = $236.25

Total salary for this week = 450+236.25

                                          = $686.25

So, Carson will receive the above amount in a week as his salary.

Hence, Carson will make $686.25 in a week.

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Answer:

y = 5/9

Step-by-step explanation:

   To simplify the expression, isolate y. To isolate y, divide both sides by 2.

 [tex]\sf 2y =\dfrac{10}{9}\\\\\text{Divide both sides by 2,}\\\\y = \dfrac{10}{9*2}\\\\y=\dfrac{5}{9}[/tex]

Length of paper left is 5 m.

What is length?

Distance is measured by length. Length is a quantity having the dimension distance in the International System of Quantities. Most measuring systems use a base unit for length from which all other units are derived. The metre is the basic unit of length in the International System of Units (SI). The greatest extended dimension of a stationary item is typically believed to be its length. This is not always the case, as it may depend on the location of the item. Height, sometimes known as vertical length or vertical extent, and width, breadth, or depth are all words used to describe the length of a stationary object. When length is the longest dimension, width or breadth generally refer to the shorter one.

Length of paper left = 20-(1.5x10) = 20-15 = 5 m.

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The ratio of the area of the original photo to the area of the enlarged photo is 2.253

What is rectangle ?

It is a common geometrical shape having 4 sides and four vertices and each side making 90 degree with the adjacent side.

Surface area of rectangle is given as :

s = 2(lb+bh+hl)

Volume of rectangle is given as :

V= lbh

Area of rectangle is given as ;

A = lb

If a rectangular photo measures 18cm by 7cm initially, the area of the photo before enlargement will be expressed as :

A1 = Length * breadth

A1 = 18 x 7

A1 = 126 cm²

If the photo is enlarged in the ratio 2:3 then increase/decrease in length and breadth will be :

2 : 3 = 2/3 = 0.66

This is 33% decrease of its dimensions’ measurements.

Length of the photo after decrement = 18 x 2/3 = 12 cm

breadth of the photo after decrement = 7 x 2/3 = 4.66 cm

Area of the decreased photo A2 = 12 x 4.66 cm² = 55.92 cm²

The  ratio of the area of the original photo to the area of the enlarged photo = A1/A2 = 126 / 55.92

= 2.253

Therefore, the ratio of the area of the original photo to the area of the enlarged photo is 2.253.

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Answer:

2 zeros

Step-by-step explanation:

600 has 2 zeros and 8 has no zeros. 0+2= 2. 2 zeros

Answer:

[tex]\textsf{When the \boxed{\sf numerator} of a fraction is equal to \boxed{0} the value of the fraction is 0.}[/tex]

Step-by-step explanation:

Fraction

[tex]\boxed{\large\begin{array}{ccl}1 & \leftarrow & \sf numerator\\\cline{1-1}2 & \leftarrow & \sf denominator \\\end{array}}[/tex]

The numerator of a fraction is the number (or expression) above the fraction bar.

The denominator of a fraction is the number (or expression) below the fraction bar.

[tex]\large{\boxed{\dfrac{n}{0}=\textsf{und\:\!efined} \quad \quad \dfrac{0}{n}=0}[/tex]

If a number (or expression) is divided by zero, the quotient is undefined.

If zero is divided by a number or expression, the quotient is zero.

Therefore:

[tex]\textsf{When the \boxed{\sf numerator} of a fraction is equal to \boxed{0} the value of the fraction is 0.}[/tex]

Answer:

B

Step-by-step explanation:

I cannot see option D but regardless, C is a function for the following reasons

A function y = f(x) is a relationship in x such that f(x)  has only 1 value for a value of x.

In A, we see that for x = -1 we have y = 2 and y = 4 for a single value of x = -1

That alone is sufficient to dismiss this as a function. If that wasn't bad enough you see that y = -3 and -4 for x = 2

In C we see the same problem
For x = 5 there are two value of y = -3 and -2
So we can disregard C

In B we can see a definite pattern
Between x = -2 and x = 0 we see that y increases by 1 unit for every increase of 1 unit in x. This is a linear relationship with a slope of + 1

Between x = 0 and x = +2, for every increase of 1 unit in the x-value, the y-value decreases by 1 unit. This is also a linear relationship but with a slope of -1

In particular this is what is known as a piecewise function. Its function expression is different for different intervals of x value

It can be expressed as follows
f(x) =    x + 2 for -2 ≤ x ≤ 0
     =   -x + 2  for 0 ≤ x ≤ 2

Answer:

5 ft/sec

Step-by-step explanation:

I don't see a question, but I'll assume it wants the speed of the scooter, in feet/sec.

(30 feet0/(2 seconds) = 15 ft/sec

-15° = C is  a given temperature in degrees Fahrenheit by finding the function's.

What is the purpose of Fahrenheit?

we have a value for F, and so we use that to find C. Insert F's value into the equation:

5 = 9/5 C + 32

Subtract 32 from both sides:

5 - 32 = 9/5 C + 32 - 32

-27 =  9/5 C

Now we multiply both sides by 5/9

-27 *  5/9 = 9/5 C  5/9

-27 is divisible by 9:

-3 * 5 = C

-15° = C

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Answer:

1. Inverse

2. 5/9 and 160/9

3. All of them

Step-by-step explanation:

The solution to the equation of the graph are represented below

To solve this problem, we simply need to use a graphing calculator to plot the graph of the straight line.

The points of at which they touch both x- axis and y-axis are highlighted in the graph.

The first equation is represented by the graph with red line while the second equation is represented by the graph with blue line.

Kindly find the attached solution as graph below

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Karina use fabric for each bag is 2.5 yards.

The unitary method is a process of finding the value of a single unit, and based on this value; we can find the value of the required number of units.

Given that,

Karina has 10 yards of fabric, she makes 4 equally sized bags

fabric does she use for each = [tex]\frac{10}{4}[/tex]

                                               = 2.5 yards

It means, Karina use fabric for each bag is 2.5 yards.

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Answer:

69420

Step-by-step explanation:

2 +2 is 4 minus 1 that's 3 quick math

The arc corresponding to a central angle of 65 in a circle of radius 10 feet measures 11.34 feet.

What is Arc of circle?

The arc of circle is defined as the segment of the circumference of a circle.

Given that;

Central angle = 65°

Radius of a circle = 10 feet.

Now, To find arc of circle, we change measure of angle in radian as;

1 degree = π/180 radian

65 degree = 65 x π/180 radian

65 degree = 1.134 radian

Since, Arc = Angle x radius

Arc = 1.134 x 10

Arc = 11.34 feet.

Thus, The arc corresponding to a central angle of 65 in a circle of radius 10 feet measures 11.34 feet.

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Answer:

X > -1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let's solve the inequality step by step:

Given inequality:

-3x + 3 < 6

Subtract 3 from both sides:

-3x < 3

Now, divide both sides by -3. When dividing by a negative number, remember to reverse the inequality:

x > -1

The correct answer is: The graph shows a number line with an open circle at negative one and shading to the right. (Option B)

Have a great day!

They can make 10 teams NOT 10.3.

Long division is a common division procedure in mathematics that may be used to divide multi-digit Hindu-Arabic numbers (Positional notation) and is easy enough to do manually. A division problem is divided up into a number of simpler steps.

Like in every division problem, the dividend and divisor are two numbers that are divided to produce the quotient, which is the final product. It makes it possible to carry out computations involving arbitrary large numbers by adhering to a set of straightforward processes. When the divisor contains only one digit, long division is nearly always avoided and instead, the condensed version, known as short division, is employed. A less mechanical approach to long division is known as "chunking," which is also known as the "partial quotients method" or "hangman method."

31 ÷ 3

= 10 but remainder 1 .

And then the fulfills the condition is that not everyone can be on a team.

So therefore remainder 1. Condition fulfilled

Answer is 10 .

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The rate of change of what the cab company  charges is; $3.3 per mile

The rate of change is simply the slope of the graph which is the change in y-values per change in corresponding x-values. Thus;

Rate of change here is;

Slope = (y₂ - y₁)/(x₂ - x₁)

We are told that the cab company charges a one time pick up fee of $2 for every ride as well as a $1.10 charge for each mile travelled.

Thus;

Base fee = $2

Rate of change = 2 + 1.1

Rate of change = $3.3 per mile

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Answer: Y=4x-5

That should be write thats what i got

Solution: 0 = 2y - 8x + 10

=> - 2y = - 8x + 10

=> 2y = 8x - 10

=> y = 4x - 5

Answer:

This is a linear function and you have to rewrite the equation to the standard form y= mx+q, so y= -4x + 3 where -4 is m and tells you the slope of the function while 3 tells you where it intercepts the y axis. Now you have to write the points of the function taking some x values and obtaining the relative y. For example if x is 0 then y= 3-4(0) which is equal to 3. If x is 1 y is -1, if X is 2 then y is -5 and you continue like that until you want. However, to draw the line you could just stop to two points.

The value of y in the equation 1/2 = 1/4y + 1/8 when solved is: y = 3/2(three halves).

Solving an equation implies looking for the value of the variable that would make the equation true or balanced if we plug in the value of that variable into the equation.

To solve for the value of y in the given equation, 1/2 = 1/4y + 1/8, isolate the variable of equation, y, to one side.

1/2 = 1/4y + 1/8 [given]

1/2 - 1/8 = 1/4y + 1/8 - 1/8 [subtraction property of equality]

3/8 = 1/4y

Multiply both sides by 4

3/8(4) = 1/4y(4)

12/8 = y

3/2 = y

y = 3/2 (three halves).

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