Please help me write a 1 page story explaining the identified above.

Answer:

x > 7

Step-by-step explanation:

x = 28 ÷ 4

x > 7

that's it

Hey there!

4x > 28
DIVIDE 4 to BOTH SIDES

4x/4 > 28/4

SIMPLIFY it

x > 28/4

x > 7

It is an open circle started at 7 & it’s going to the left of the number line

Therefore, your answer should be:

x > 7

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

141 degrees

Step-by-step explanation:

The total angle interior of a triangle is 180 degrees. And the 2 angles opposite of x equal it so x=103+38

The absolute change in the population was 59 million. The relative change in the population was 23.69%

The absolute population change is the magnitude of the increase or decrease in population for a defined period.

Absolute change describes the straightforward difference between the indicator over two time periods. The indicator's value in the earlier period is used to calculate the relative change, which expresses the absolute change as a percentage.

Small numbers can make relative changes appear more significant than they actually are. This is true because a minor change in the number's absolute value can generate a significant change in the percentage.

Big numbers may make relative changes appear less significant. This is so that any change in the number that represents a substantial relative change may be seen.

The relative change can be minor even when the absolute change is significant if it is a change on a larger number.

Absolute change = Final value – Initial value

                            = 308m- 249m = 59m

The absolute change in the population was 59 million

Relative change Formula = (Final value – Initial value) / Initial value * 100%

                                         =  308m- 249m/ 249*100 = 23.69%

The relative change in the population was 23.69%

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If Andrew earns 30% on all sales plus a retainer of $125 per week and If he earns $893 in one week, then the value of the his sales for that week is $2560.

The total amount he earned = $893

The amount of retainer he earned = $125

The percentage he earned = 30%

30% of the sales = The total amount he earned - The amount of retainer he earned

Substitute the values in the equation

= 893-125

= $768

Consider the total sales as x

Then,

x × (30/100) = 768

0.3x = 768

x = 768/0.3

x = $2560

Hence, if Andrew earns 30% on all sales plus a retainer of $125 per week and If he earns $893 in one week, then the value of the his sales for that week is $2560.

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Answer:

c = 23

Step-by-step explanation:

To start, the interior of ∠L is needed to complete the equation. Since the total value of an interior and exterior angle is equal to 180°, we can confirm that 180° - 83° = 97°. Now, we can plug in the numbers.

(2c + 51)° = 97°

Next, you want to subtract 51 from both sides.

(2c + 51) - 51 = 97 - 51

2c = 46

Lastly, you isolate c by dividing 46 by 2.

c = 46 ÷ 2

c = 23

To solve an inequation for x you have to follow the same procedure you follow when solving equations, with exception that when you multiply/divide by a negative number the direction of the inequality gets inverted.

So to solve the given inequelity for x, you have to pass "+49" to the other side of the expression. To do so, subtract it from both sides of the expression:

The result of the inequality is x > -21

The given expression is

Factor out the greatest common factor between 15x and 20y.

Then, use the product property to expand the logarithm.

At last, simplify the first logarithm because its base is equal to its argument.

Therefore, the simplest form of the logarithm is

Answer:

17. s = 9

18. x = 8x^(½)

Step-by-step explanation:

s² - 7 = 74?

s² = 74 + 7

s² = 81

√(s²) = √(81)

s = 9

x² - 8x = 0

x² = 0 + 8x

x² = 8x

√(x²) = √(8x)

x = 8x^(½)

OR by factoring

x²−8x=0

x(x−8)=0

x=0 or x−8=0

x=0 or x=8

Let x be the amount raised by each club member. Since there are 60 members, the amount raised by them would be

Now, we know the school contributed $1,000. Now, the amount raised is:

Since this amount has to be at least $5,000, we have that the inequality that shows the amount of money that each glee club member needs to raise to help pay for the trip is:

Answer: Option A

Vertical angles are : 1 and 6

supplementary angles : 1 and 2

linear pair : angle 4 and 8

adjacent angles: 21 and 22

A supplementary angle is an angle that, when added to another angle, results in a total angle measure of 180 degrees. In other words, if two angles are supplementary, the sum of their angle measures will be equal to 180 degrees.

For example, if angle A measures 100 degrees, its supplementary angle B would measure 80 degrees, since 100 + 80 = 180. Conversely, if angle B measures 120 degrees, its supplementary angle A would measure 60 degrees, since 120 + 60 = 180.

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Solution:

LCM of 9 and 19 is the smallest number among all common multiples of 9 and 19.

The first few multiples of 9 and 19 are (9, 18, 27, 36, 45, 54, . . . ) and (19, 38, 57, 76, 95, . . . ) respectively.

There are 3 commonly used methods to find LCM of 9 and 19 - by listing multiples, by division method, and by prime factorization.

To calculate the LCM of 9 and 19 by the division method, we will divide the numbers(9, 19) by their prime factors (preferably common). The product of these divisors gives the LCM of 9 and 19.

In this case, we get:

Then, the LCM would be:

so that, the correct answer is:

Answer:

can't answer the first two questions as figure is not mentioned in picture

3. -3

4. 6

5. 3/4

6. -3

7. 5

8. 3

Step-by-step explanation:

The mixed fraction of the given improper fraction is [tex]1\frac{2}{5}[/tex].

According to the question,

We have the following improper fraction:

7/5

Now, to convert this into mixed fraction we will divide the numerator by the denominator and add the quotient before the fraction and the remainder will form the numerator and the denominator will remain same as that of this improper fraction.

(More to know: there are three kinds of fraction: proper fraction (in proper fraction, we have denominator larger than numerator), improper fraction and mixed fraction.

So, we will divide 7 by 5:

[tex]1\frac{2}{5}[/tex]

Hence, the mixed fraction of 7/5 is [tex]1\frac{2}{5}[/tex].

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She calls for 4/5 cup of chocolate

She had 7/3 cups of chocolate.

Maximum number of cakes a baker can make = 2

Answer:

y=5

Step-by-step explanation:

RS  +    ST   =    RT

9y+2     +     2y+3       =   60

11y         +      5         = 60

11y   =     55

Y = 5

Notice that in the given sequence the difference between the first two terms is 7 so the solution must be in terms of multiples of 7 plus a constant. The only two options that have this characteristic are first and last ones, for the sum to consider the first term the sum must start for r=0.

Answer: last option.

[tex]4a^{2} -25=0\\(2a-5)(2a+5)=0\\2a-5=0 \\or 2a+5=0\\\\a=\frac{5}{2} \\\\or\\\\a=-\frac{5}{2}[/tex]

IF YOU CHECK CAREFULLY YOU WILL FIND THAT THIS EQAUTION IS MADE OF DIFFERENCE OF SQUARES.

GOODLUCK!!

Prior to 1982, pennies weighed 3.1 grams. Coins produced after 1982 weigh 2.5 grams. 647 coins from each period are there in the bag if it contains 1267 pennies and weighs 3541.9 grams.

Given that,

The 1982 change in pennies composition from all copper to zinc with copper coating was made by the US Mint. Prior to 1982, pennies weighed 3.1 grams. Coins produced after 1982 weigh 2.5 grams.

We have to find how many coins from each period are there in the bag if it contains 1267 pennies and weighs 3541.9 grams.

An issue of quantity and amount. In this context, the term "amount" refers to weight. The variables should be identified with letters that will make them easy to distinguish: Z for largely zinc and C for all copper. Create weight and quantity equations:

C + Z = 1287

3.1 C + 2.5 Z = 3601.5

By multiplying all three components of the first equation by -2.5 and placing them under the second equation, drawing a line, and then subtracting, you can eliminate the Z using this method.

3.1 C + 2.5 Z =  3601.5

-2.5 C -  2.5 Z = -3217.5

--------------------------------

0.6 C              =    384      

Divide both sides by .6.

C = 640        

Subtract 640 from 1287.

Z = 647

Therefore, 647 coins from each period are there in the bag if it contains 1267 pennies and weighs 3541.9 grams.

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The equation of the line is found as y = -x/2 + 9/2.

For the given question;

The equation of the perpendicular line is given as;

y = 2x - 7

Compare the equation with the standard form of slope intercept.

y = mx + c

m = slope and c is the y intercept.

m1 = 2

Now, the line is perpendicular, thus the relation between both slopes is;

m1 × m2 = -1

m2 = -1/2

The passing coordinates of the line is (1. 4).

Find the equation using formula.

y - y1 = m2(x - x1)

y - 4 = (-1/2) (x - 1)

Simplifying,

y = -x/2 + 9/2

Thus, the equation of the line is found as y = -x/2 + 9/2.

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Answer: 1

Step-by-step explanation:

[tex]\lim_{x \to -6} f(x) \neq -1[/tex] because the left and right hand limits are not the same.

[tex]\lim_{x \to -1} f(x) \neq -1[/tex] because the left and right hand limits are not the same.

However, somewhere between 1 and 2, the limit does equal -1 because the left and right hand limits are the same.

Answer:

3.456 × 10^11

Step-by-step explanation:

= 3.456 × 10^11

scientific notation

= 3.456e11

scientific e notation

= 345.6 × 10^9

engineering notation

billion; prefix giga- (G)

= 3.456 × 10^11

standard form

11

Order of Magnitude

for scientific and standard forms

= 345600000000

(real number)

= three hundred forty-five billion six hundred million

word form

I hope this helps!! :D

The total money spent on fruits is $7.03

While at  the fruit stand, Ramon bought the following fruits,

3 pounds of apples that cost $0.89 per pound

4 cantaloupes that each cost $1.09

So, the total amount he spent on the materials he bought without including taxes is,

Total money spent = 3 x ( 0.89 ) + 4 x ( 1.09 )

                                = 2.67 + 4.36

                                = 7.03

The total money spent on fruits is $7.03

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The inequality that represents the number of outfits he can buy while staying within his budget is M ≤ 6.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal =

Greater than and equal=

We have,

Total amount to spend = $720

Cost of bicycle = $401.83

Cost of bicycle reflector = $12.85 ( 4 reflector bought )

Cost of bike cloves = $23.83

Cost of biking outfits = $40.49

The number of possible biking outfits:

401.83 + 4 x 12.85 + 23.83 + M40.49 ≤ 720

401.83 + 51.4 + 23.83 + M40.49 ≤ 720

477.06 + M40.49 ≤ 720

M40.49 ≤ 720 - 477.06

M40.49 ≤ 242.94

M ≤ 242.94 / 40.49

M ≤ 6

M = Number of possible outfits

Thus,

The inequality that represents the number of outfits he can buy while staying within his budget is M ≤ 6.

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A piecewise function is basically a function that behaves differently at different domain intervals.

The given piecewise function is

As you can see, the function has a different expression for the interval x is less than or equal to 3 and a different expression for the interval x is greater than 3.

The easiest way to determine which graph corresponds to the given piecewise function is to evaluate the piecewise function at different values of x and graph it.

Evaluate the piecewise function for the interval x is less than or equal to 3.

Evaluate the piecewise function for the interval x is greater than 3.

Now, let us graph these points

As you can see from the graph, it matches with the graph of the 2nd option.

Therefore, the correct graph of the given piecewise function is the 2nd graph.

Considering the given figure, the conjecture with the rephrased statement of proof to show the diagonals of a parallelogram bisect each other is: In parallelogram EFGH show EK is congruent to KG and F.K is congruent to KH

The diagonals refer to the lines running between the two opposite ends of the parallelogram

Bisecting means sharing into two equal parts

congruent means a copy that is equal in dimension hence can be used in place of the other image  

The diagonals of a parallelogram bisect each other means that the diagonals cut each other to form two equal parts such that each part is congruent to each other.

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After performing some mathematical operations, we know that the total cost of 8 popcorn bags and 5 drinks is $53.

So, the total cost:

Cost of a total of 8 bags of popcorn and 5 drinks:

Therefore, after performing some mathematical operations, we know that the total cost of 8 popcorn bags and 5 drinks is $53.

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The correct question is given below:

Zahra and some friends are going to the movies. At the theater, they sell a bag of popcorn for $3.50 and a drink for $5. How much would it cost if they bought 8 bags of popcorn and 5 drinks?

two lines are perpendicular when their slope is inverted and have the opposite sign

the general form of the equation line is-3,1

where m is the slope

rewrite

so, the slope 3/8

the slope of the other line is

to write the new equation of the line we use the slope and replace the point (-3,1)

now, replace b and the slope to create the line

We will break apart the figure into triangles, rectangles, squares etc. We will then find area of each individual figure and sum it.

We can break apart the figure as shown below: