Use the substitution method or the elimination method to solve the following system.
2x−20y
=
10
−7x+70y
=
−35

15.82x2=31.64

31.64+42.37=74.01

100-74.01=25.99

Sinead received $25.99 for change.

Answer:

Sinead received $25.99 for change.

Step-by-step explanation:

The value of the expression 18 + 4(28) will be 130.

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The expression is given below.

⇒ 18 + 4(28)

Simplify the expression, then the value of the expression will be

⇒ 18 + 4 x (28)

⇒ 18 + 4 x 28

⇒ 18 + 112

⇒ 130

Thus, the value of the expression 18 + 4(28) will be 130.

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Answer: Three-8 ounce containers

Step-by-step explanation: 3 x 1.29 divided by 0.6= $6.45 for three 8-ounce containers

4 x 3.77 divided by 0.6= $15.08

a. The expected value is $12

b. She is expected to win money

To find the expected value of playing the game, we need to calculate the average value of the winnings or losses.

(a) Expected Value:

The probability of drawing an even-numbered card is 5/10 (since there are 5 even-numbered cards out of 10), and the probability of drawing an odd-numbered card is also 5/10.

If Leila draws an even-numbered card, she wins an amount equal to the value of the card. So the expected value of winning is:

(5/10) * (2 + 4 + 6 + 8 + 10) = (5/10) * 30 = 15/10 = $15

If Leila draws an odd-numbered card, she loses $6. So the expected value of losing is:

(5/10) * (-6) = -3

To find the overall expected value, we subtract the expected value of losing from the expected value of winning:

Expected value = (15) + (-3) = 12

Therefore, the expected value of playing the game is $12

(b) In the long run, after playing the game many times, Leila can expect to lose money. Since the expected value is positive $12 , on average, she will win $12 per game.

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Answer:

x = 2

Step-by-step explanation:

3x + 4x = 7x

Divide 14 by 7 to get 2

Answer:

x=2

Step-by-step explanation:

Collect like terms

7x=14

Divide both sides of the equation by 7

x=2

Solution is x=2

The volume of the pyramid is 576 cubic inches.

To find the volume of a square base pyramid, you can use the formula:

Volume = (1/3) x base area x height

In this case, the side of the square base is given as 12 inches, and the height is given as 12.5 inches.

First, calculate the base area of the pyramid:

Base area = side²

= 12²

= 144 square inches

Now, substitute the values into the volume formula:

Volume = (1/3) x 144 x 12.5

Volume = 576 cubic inches

Therefore, the volume of the pyramid is 576 cubic inches.

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Answer:

The question is not complete

Answer:dddddd

ddddddddStep-by-step explanation:

The percent of the front page taken up by the prom story is 20%

From the question, we have the following parameters that can be used in our computation:

The front page

From the front page, we have

Area front page = 5 * 4

Area front page = 20

Also, we have

Prom = 2 * 2

Prom = 4

So, we have

Percentage = 4/20 * 100%

Evaluate

Percentage = 20%

Hence, the percent of the front page taken up by the prom story is 20%

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Answer:

=0.5(1.1) - 0.5(2x)+2.4x-2.10

=0.55-x+2.4x-2.10

=1.4x-1.55

Ans A

Given

To find

we know that

Inserting the value of radius

The given statement about inequality is true.

The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.

The statement is true ''Pick a point on one side of the solid or dashed line and enter its coordinates into the original inequality to determine which side of a linear inequality to colour in for its graph. On that side of the plane, you should shade if the coordinates satisfy the inequality''.

The statement defines how to write an inequality the meaning of inequality is that one part of the inequality will be shaded by some colour indicating that the region is falling under the area of inequality.

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Answer:

\(B.\ TE\ congruent\ to\ EN\)

Step-by-step explanation:

\(As\ we\ know\ that,\\A\ median\ bisects\ the\ base\ side\ of\ a\ triangle.\\Hence,\\As\ AE\ is\ the\ median\ in\ this\ case,\\it\ bisects\ TN\ into\ congruent\ sides\ TE\ and\ EN.\\Hence,\\TE\ congruent\ to\ EN\\\)

Answer:

The absolute value of +98 is simply 98. So, | +98| = 98.

Step-by-step explanation:

Answer:

98

Step-by-step explanation:

The absolute value of a number is its POSITIVE distance from 0, so as +98 is 98 away from 0, then |+98| = 98.

Triangle UTS and triangle VTS are congruent using ASA criteria. Hence, SU = SV using CPCT.

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.

Although having the same form, each might have different sizes.

There are no matching angles that are not equal.

Similar equivalent side ratios exist.

Given: ST bisects ZUTV.

angle UTS ≅ angle VTS (as ST bisects ZUTV)

angle TUS and angle TVS are right angles as shown in the figure.

Thus, triangle UTS and triangle VTS are congruent using ASA criteria.

Hence, SU = SV using CPCT.

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Answer:

yes

Step-by-step explanation:

a right trapeziod( it looks like a trapesiod cut in half at the the y axis)

Step-by-step explanation:

(a) The Absolute minimum value is -3/2 and maximum value is 3.

(b) We have global minima at x = 4/9 and global minimum value at x = −4/27.

(c) Global maximum value of function is 2.72 and minimum value of function is 0.37.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output. Four main categories may be used to classify different sorts of functions. One to one function, many to one function, onto function, one to one and into function—all based on the element. The graph is a function if any vertical line created may cross it at no more than one point. The graph is not a function if there is any location where a vertical line may cross it at two or more points.

Here,

a) Given function as:

f(x,y)=x2-y2-2xy-2x

The triangular region described by the vertices (1,0),(0,1) and (-1,0) can be described by the straight lines :

a) Straight line joining (1,0) and (0,1) i.e y= 1-x

b) Straight line joining (0,1) and (-1,0) i.e y= 1+x

c) Straight line joining (-1,0) and (1,0) i.e the x axis where y=0

When y=0, we have, x^2-2x

Now, df/dx=0 for maxima / minima

2x-2=0

X=1

Also, d^(2)f/dx^(2)=2>0 and df/dx<0 for x<1

So, we have minimum value = 12−2×1=−1

and maximum value = (−1)2−2×−1=3

When y=1+x, we have ,

f(x,y)=x^2−(1+x)^2−2x(1+x)−2x

df/dx=2x−2(1+x)−2x−2(1+x)−2

=−6−4x<0, for  x>−3/2

Hence f(x,y) is always decreasing function in the interval x=[-1,0] , with minimum

=f(0,1)

=02−12−2×0×1−2×0

=−1

Maximum value = f(-1,0)

=(−1)2−02−2×−1×0−2×−1

=1−0+2

=3

When y= 1-x, we have,

f(x,y)=x^2−(1−x)^2−2x(1−x)−2x

df/dx=2x+2(1−x)+2x−2(1−x)−2

=4x−2>0,for x>1/2

Hence at x=1/2,we have df/dx=0 which is global minima point since

d2(f)/dx2=4>0

So, minimum value for y = 1- x

=f(1/2,1/2)

=1/22−1/22−2×1/2×1/2−2×1/2

=−1/2−1=−3/2

Maximum value in the interval [ 0 1] shall be

=max(f(0,1).f(1,0))

=max(−1,−1)=−1

So, considering all points on this triangle , we have absolute maximum

= max(f(x,y) for y=0, f(x,y) for y=1+x, f(x,y) for y=1-x)

=max(3,3,−1)

=3

Absolute minimum considering all points on the triangle

= min(f(x,y) for y=0, f(x,y) for y=1+x, f(x,y) for y=1-x)

=min(−1,−1,−1.5)

=−3/2

b) Given g(x,y)=x+xy−2y2

When y=x0.5, we have,

g(x,y)=x+x^1.5−2x

=x^1.5−x

For the domain x = [0 , 1], we have ,

dg/dx=1.5×x^0.5−1=0

x=4/9

d^2(g)/d^x2=0.75x0.5>0 for x=4/9

Hence, we have global minima at x = 4/9 and global minimum value

=(4/9)1.5−49

=8/27−4/9

=−4/27

Global maximum = max(g(0,0),g(1,1))

=max(0,0)

=0

(a) The Absolute minimum value is -3/2 and maximum value is 3.

(b) We have global minima at x = 4/9 and global minimum value at x = −4/27.

(c) Global maximum value of function is 2.72 and minimum value of function is 0.37.

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Part A: There are 28 green beans in the garden. Part B: There are 80 plants that are either pumpkin or tomato. Part C: There are 52 more corn plants than cucumber plants.

A circle graph, often called a pie chart, is a circular graph with sectors on it, each representing a particular category or set of data. Each sector's area or angle is proportionate to the amount it stands for. In data visualisation, circle graphs are frequently used to show the relative sizes or proportions of several categories or groups within a dataset. They can instantly convey the distribution of data without the need for laborious numerical calculations, which makes them effective for presenting data that is divided into discrete groups. However, if the data is not presented in a clear and simple manner or if the sectors are not precisely drawn to scale, circle graphs may be deceiving.

Part A: The percentage of green beans in the circle graph is 14%.

14% of 200 = 0.14 x 200 = 28

Part B: The circle graph shows:

pumpkin plants and tomato plants is 20% + 20% = 40%.

40% of 200 = 0.40 x 200 = 80

Part C: The corn plants is 36% and the percentage of cucumber plants is 10%.

36% of 200 - 10% of 200 = (0.36 x 200) - (0.10 x 200) = 72 - 20 = 52

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Answer:

Step-by-step explanation:

sin(0) = 0/2

sin(30) = 1/2

sin(45) = \(\sqrt{2}\)/2

sin(60) = \(\sqrt{3}\)/2

sin(90) = \(\sqrt{4}\)/2

cos(90) = 0/2

cos(60) = 1/2

cos(45) = \(\sqrt{2}\)/2

cos(30) = \(\sqrt{3}\)/2

cos(0) = \(\sqrt{4}\)/2

notice that sin and cos repeat,   but in reverse

the answer for your questions is in there.  

Thus, the cardinal number of the set E is found to be: N(E) = 6.

A cardinal number describes or expresses how many of anything are present.

So all natural numbers are often refereed to as cardinal numbers. Cardinal numerals have been used for counting. When an ordinal number is an integer that represents the location or place of an object.

The description of a cardinal number is really a number that is used to express quantity in whole numbers. Decimals and fractions are not regarded as cardinal numbers. Natural numbers and numbering numbers constitute cardinal numbers. Each of them is a positive integer.

Given data:

N(CxE) = 18

C = {4, 5, 6)

In which N is the cardinal number, that is the total elements present in the set.

So,

N(C) = 3

Given that: N(CxE) = 18

The formula for the Cartesian product is:

N(CxE) = N(C) * N(E)

18 = 3* N(E)

N(E)  = 18 /3

N(E) = 6

Thus, the cardinal number of the set E is found to be: N(E) = 6.

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Complete questions:

Find N(E), Given That N(CxE) = 18 And C = {4, 5, 6).

Α. 6

B. 9

C. 3

D. 5

Answer: 43

Step-by-step explanation:

Let's start with what we know about triangles which is that the sum of the angles in a triangle = 180. So far, we have one angle at 79 and another at 58, when adding them up: 79 + 58 = 137.  Then we do 180 - 137 = 43.

So x = 43.

In this case

And the probability that the sample proportion surviving for at least 3 years will be less than 70% is approximately 0.0421

The Z-score in this case is:

Answer:

See below

Step-by-step explanation:

\(2(4x + 1) = 4(2x + 5)\)

\(8x + 2 =8x + 20\)

\(\nexists x \in \mathbb{R} \text{ That makes the equality true}\)

The equation has no solution because no matter what the value we plug for \(x\) in the equation, it will not be true and will lead to a contradiction. This is the meaning of not having a solution.

Answer:

-1/2

Step-by-step explanation:

the slope of the first line is 2

to get the line perpendicular, you swap the numerator and denominator, then if positive make negative and the other way around

36930

The given numbers: 3.65 x 104 and 4.3 x 102​

I will be assuming the numbers are: 3.65 x 10⁴ and 4.3 x 10²

we expand each of the numbers in standard form before we can sum them together.

3.65 x 10⁴ = 36500

4.3 x 10² = 430

3.65 x 10⁴ + 4.3 x 10² = 36500 + 430

3.65 x 10⁴ + 4.3 x 10² = 36930

Step-by-step explanation:

40 * 14 = 560

Happy holidays!

9514 1404 393

Answer:

  (i) ∠CDF = 86°

  (ii) ∠BAD = 141°

Step-by-step explanation:

(i) Angles CDF and GFD are "alternate interior" angles, so are congruent.

  ∠CDF = 86°

__

(ii) Angles BAD and CDA are "alternate interior angles, so are congruent. Angle CDA is the sum of angles CDH and HDA. Angle CDH is supplementary to angle CDF, so is ...

  ∠CDH = 180° -∠CDF = 180° -86° = 94°

Then ...

  ∠CDA = ∠CDH +∠HDA = 94° +47°

  ∠CDA = 141°

Answer:

The maximum profit the florist will earn from selling celebration bouquets is $725.

The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.

The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.

Step-by-step explanation:

Answer: ⇒V=π×32×53=45×π3≈47.124 cubic cm

Hope this helps!!