Find the value of each variable

Solution:

From the given diagram;

The statements that are correct about the given diagram are

b)

d) The sum of exterior angles of a polygon is 360°,

Hence, the sum of the exterior angles of polygon ABCDE and the sum of exterior angles of polygon DEHGF is 720°

e)

The vertical distance between the kite and stingray is 81 feet.

Given that, a kite is gliding 74 feet above sea level. There is a stingray coasting 7 feet below sea level.

Vertical distance or vertical separation is the distance between two vertical positions. Many vertical coordinates exist for expressing vertical position: depth, height, altitude, elevation, etc.

The vertical distance between the kite and stingray is

74-(-7)

= 74+7

= 81 feet

Therefore, the vertical distance between the kite and stingray is 81 feet.

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Since the percent grade in period 1 was 92% and in period 2 was 96%, then the percent change from period 1 to 2 was 4%.

Since the percent grade in period 2 was 96% and in period 3 was 99%, then the percent change from period 2 to 3 was 3%.

Since 4% is 1% greater than 3%, then the percent change from grading period 1 to 2 was 1% greater than the percent change from grading period 2 to 3.

Therefore, the answer is: 1.0%.

Okay, here we have this:

Considering the provided formula and information, we are going to calculate the requested percent of college freshmen in 2010, so we obtain the following:

So since x corresponds to the number of years after 1980, in this case we will replace x with 30, since it is 30 years after 1980, we have:

p=4x/5+25

Replacing:

p=4(30)/5+25

p=120/5+25

p=24+25

p=49

So, as we can see, the model assumes that in 2010 the percentage was 49%, and the real one is 47%. It means that the model overestimates the real value by 2%.

The number of ounces of meat were used is 52 ounces.

Given that, a sandwich shop serves 4 ounces of meat and 3 ounces of cheese on each sandwich.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

There are 7 ounces of combined meat and cheese in each sandwich (4+3 =7)

Number of sandwiches can make with 91 ounce of meat and cheese

= 91/7

= 13 sandwiches

Number of ounces of meat = 13 × 4 = 52 ounces

Number of ounces of cheese = 13 × 3 = 39 ounces

Therefore, the number of ounces of meat were used is 52 ounces.

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Answer:

x = [tex]\frac{16}{5} = 3\frac{1}{5} = 3.2[/tex]

Step-by-step explanation:

25.6 = 8x

Divide both sides by 8.

[tex]\frac{25.6}{8} = x\\[/tex]

Expand [tex]\frac{25.6}{8}[/tex] by multiplying both numerator and the denominator by 10.

[tex]\frac{256}{80} = x[/tex]

Reduce the fraction  [tex]\frac{256}{80\\}[/tex]  to lowest terms by extracting and canceling out 16.

[tex]\frac{16}{5} = x[/tex]

Swap sides so that all variable terms are on the left-hand side.

[tex]x = \frac{16}{5}[/tex]

If you answer is meant to be a fraction, then your correct answer is [tex]3\frac{1}{5}[/tex] and if you answer is meant to be a decimal then you correct answer is 3.2.

Hope I helped and have a good day. ~sunshine~ =D

Answer:

12

Step-by-step explanation:

Answer:

if you meant %, the answer is 2016

Step-by-step explanation:

1120 + 80% is 2016

Answer:

length = 28 feet

Step-by-step explanation:

let length = x

width = 2x - 40 3/4

         = 2x - 163/4

         = 2x - 40.75

perimeter of a rectangle = 2(l+w)

according to the question:

86 1/2 = 2(l+w)

86.5 = 2(x + 2x - 40.75)

86.5 = 2(3x - 40.75)

86.5 = 6x - 81.5

86.5 + 81.5 = 6x

thus, x = 28

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Answer:

7

Step-by-step explanation:

Let x be the "integer."  We'll assume it is odd.

The next consecutive odd integer would be x+2.

(2(x+2) - x) =9    [When an integer is subtracted from 2 times the next consecutive odd integer the difference is 9]

(2(x+2) - x) =9

(2x+4) - x) =9

x+4 =9

x = 5

The greater integer is x+2 or 7

Check:

If 5 is subtracted from 2 times the next consecutive odd integer, 7, is the difference 9?

2*7 - 5 = 9?

14 - 5 = 9?

14 - 5 = 9?  YES

Answer:

Since all triangle angles sum to 180 then we can say

2x + 3x + 7x = 180

12x = 180

x = 15

There fore the angles are

2 * 15 3 * 15 and 7 * 15 or

30 45 and 105

Those 3 total 180 degrees

Step-by-step explanation:

Answer:

[tex]\frac{11}{20}[/tex]

Step-by-step explanation:

2[tex]\frac{3}{4}[/tex] ÷ 5

Convert mixed number fraction to improper fraction

[tex]\frac{11}{4}[/tex] ÷ 5

To divide fractions we turn the second fraction (the one you want to divide by) upside down (this is now called a reciprocal) and we multiply

[tex]\frac{11}{4}[/tex] × [tex]\frac{1}{5}[/tex] = [tex]\frac{11}{20}[/tex]

The angles are which alternate exterior angles include the following: A. ∠XWY and ∠STR.

Parallel lines can be defined as two (2) lines that are cut through by a transversal and they always have the same (equal) distance apart and never meet.

The alternate exterior angle theorem states that when two (2) parallel lines are cut through by a transversal, the alternate exterior angles that are formed lie outside the two (2) parallel lines, are located on opposite sides of the transversal, and are congruent angles.

In conclusion, we can logically deduce that both ∠XWY and ∠STR are alternate exterior angles because they lie outside the two (2) parallel lines and are located on opposite sides of the transversal.

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We can describe 15x-10 as an expression.

We would describe 6x-2<35 as an inequality.

In mathematics, inequalities characterize the connection between two non-equal numbers. Inequality means being unequal. If two values are not equal, we use the "not equal symbol". However, various inequalities are employed to compare the numbers, whether they are less than or higher than.

An inequality in mathematics is a relationship that makes a non-equal comparison between two integers or other mathematical expressions. It is most commonly used to compare two numbers on the number line based on their size. In the illustration above, there's a less than sign. This means that it's an inequality.

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Answer:

the answer for your question is option A

Answer:b

Step-by-step explanation:

In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable.

How are polynomials and non-polynomials categorized?

There are two ways to categorize polynomials: by degree and by number of terms. According to degree, polynomials can be classified as zero, linear, quadratic, or cubic. Monomials, binomials, trinomials, etc. are the different types of polynomials based on the quantity of terms.

A polynomial is, in general, an expression containing more than one term and non-negative integral exponents of a variable. A polynomial expression might look like this: ax + by + ca, x3 + 2x + 3, etc.

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Given data:

The given figure of the trapezium.

The expression for the area of the trapezium is,

Thus, the area of the given trapezium is 360 sq-m.

Answer:

x = 11.2 cms.

Step-by-step explanation:

I infer that the units are in centimeters.

8-3 = 5

One side = 5 cm

Other side = 10 cm

By the Pythagorean Theorem:

x² = 5² + 10²

x² = 25 + 100

x² = 125

√x² = √125

x = 11.18 cms

To the nearest tenth:

x = 11.2 cms

The biconditional statement is "You study for your test if and only if you passed".

What is biconditional statement?

A biconditional statement combines a conditional statement with its opposite expressed in the form of "if and only if."

The given statements are,

"If you study for your test, then you will pass your test"  and "you passed your test then you studied for your test".

The biconditional statement is: "You study for your test if and only if you passed".

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When the mass is 500 grams and the volume is 40 cubic centimeters then density is 12.5 gm per cc.

When the mass is 125 grams and the volume is 1.4 cubic centimeters then density is 89.28 gm per cc.

The amount per unit of length, area, or volume as. a: a substance's mass per unit volume. b: the distribution of an amount (such as mass, electricity, or energy) per unit, typically of space.

D = M/V

a) M = 500 gms

V = 40 cubic cm

D = 500/40

D = 12.5 gm per cc

b) M = 125 gms

V = 1.4 cubic cm

D = 125/1.4

D =89.28 gm per cc

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Answer:

Step-by-step explanation:

x y

2 12

6 8

10 4

14 0

18 -4

The slope is the Rise/Run, or change in y over the change in x.  Pick any two points.  I'll choose (2,12) and (18,-4),

Rise = (-4 - 12) = -16

Run = (18 - 2) = 16

Slope = Rise/Run = -16/15, or -1

The equation becomes y = -1x + b

To find b, use any of the points in the equation and solve for b.  I'll use (14,0):

y = -1x + b

0 = -1(14) + b

b = 14

The equation is y = -x + 14

See the attached graph.

The age of Evelyn is 10.5 years finding by the properties of linear equation.

What is linear equation?

A linear equation in algebra is one that only contains a constant and a first-order (linear) component, like y=mx+b, where m is the slope and b is the y-intercept.

Let the age of James is x years.

The age of Evelyn is x - 2.5 years

Sum of age of Evelyn and James are x + x - 2.5 = 2x - 2.5

According to question,

2 x (2x - 2.5) = 57

=> 4x - 5 = 57

=> 4x = 57 - 5

=> 4x = 52

=> x = 52/4

=> x = 13

Age of James is 13 years and the age of Evelyn is 13 - 2.5 = 10.5 years.

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The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. The equation 9 x 5 = 45 consists of the two equations are separated by the 'equal' sign.

Assume that a team has N players.

Each squad may have anywhere from 3 to 5 players, so

3 ≤ 5 ...(i)

Let P represent a player's total points in a single game round.

Each round of the game allows for a maximum of 10 points for each player, so

0 ≤ p ≤ 10 ....( i)

(1) Elena assembled a team of five people.

As a result, 5 players' points in 1 round equal 5P.

Equation (ii) yields the range of

0 ≤ 5p ≤ 50.

As a result, Elena's team's points total ranges from 0 to 50.

(2) If each shot is off by one point, then

One player's points in one round are equal to 10-1=9.

So, 9 x 5 = 45 points were collected by 5 players in 1 round.

(3) Assume that R represents the number of teams as an integer.

the game involves at least three teams, therefore

R ≥ 3 ...( iii)

Given that N players make up one team,

R team has NR players, where R is 3, 4, or more.

Next, using equation (i)

3R ≤ 5R

Therefore, the number of players ranges from 3R to 5R if there are at least 3 teams.

The game can have anywhere from 3x3=9 to 5x3=15 players when R=3.

Answer:

(I) Between 0 and 50.

(ii) Between 3 and 5.

(iii) Between 3R and 5R, where R = 3,4,5,...

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For a craft show, students make 93.5 ounces of liquid soap. They package the soap in 8.5 ounce bottles and charge $5.50 per bottle. The students will earn $60.5.

Given that,

For a craft show, students make 93.5 ounces of liquid soap. They package the soap in 8.5 ounce bottles and charge $5.50 per bottle.

We have to find how much money will the students make if they sell all the liquid soap bottles.

Total amount of liquid soap prepared by the students for a craft fair = 93.5 ounces

Weight of each bottle in which students poured the soap = 8.5 ounces

Let us first calculate the number of bottles, each contains 8.5 ounces of soap from 93.5 ounces of soap.

So, Number of bottles = 93.5/8.5

= 11

So, 11 bottles are prepared which contains 8.5 ounces of soap from 93.5 ounces of soap.

The amount at which each bottle is sold = $5.50

The total amount earned by selling all the bottles of liquid soap = 11×5.50

= $60.5

Therefore, the students will earn $60.5 if they sell all the bottles of liquid soap.

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The height is the sum of 39 and 9 times the number of boxes, n. The rule is 9n + 39.

An algebraic expression is defined as the type of expression that is made up of a variable, a coefficient and a constant.

From the given box of nails,

The height of 2 boxes of nails = (9× 2) + 39 = 57 In

The height of 3 boxes of nails = ( 9 × 3) + 39 = 66 In

The height of 4 boxes of nails = ( 9× 4) + 39 = 75 ln

That is to say that the height of the box above the floor can be calculated by the sum of 39 and 9 times the number of boxes, n.

Therefore, the rule of heights is 9n + 39 where n is the number of boxes present.

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