Enny is a financial planner and wants to sell fixed-income investments. For this purpose, she requires a(n) certificate.

In linear equation, 4  is the maximum whole number of gigabytes of data he can use while staying within his budget.

What are a definition and an example of a linear equation?

Let the number of gigabyte so f data she can use while staying within her budget then,

we can write the cost equation as following

 4x + 66.50 ) ≤ 85

   85 - 66.50 ≤ 4x

   18.5 ≤ 4x

   x ≤ 18.5/4

   x ≤ 4. 625

   Xmax =  4

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Answer:

62 mph

Step-by-step explanation:

The measure of base angles and vertex angle are 133° and 47° respectively.

What is an isosceles triangle ?

A triangle with two equal-length sides is known as an isosceles triangle (/assliz/). The term "equilateral triangle" can refer to a shape with either exactly two sides that are the same length or at least two sides that are the same length, with the latter definition containing the equilateral triangle as an exception.

Let the vertex angle to be 'x'

So, according to the question, the measure of the base angels in an isosceles triangle is 8 less than 3 times the measure of a vertex angle

    So, Base angles = (3 × vertex angle) - 8

We know that sum of all angles of a triangle is 180° and the base angles of an isosceles triangle are equal.

∴ Base angles + vertex angle = 180°

  (3 × vertex angle) - 8  + x = 180°

  3x - 8 + x = 180°

  4x = 188°

  x = 47°

∴ The vertex angle is 47° and,

Base angles =  (3 × vertex angle) - 8  

                     = 3 × 47 - 8

                     = 141 - 8

                     = 133°

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The optimal solution for the amount of cash to withdraw each time to minimize transportation costs and maximize interest earnings is determined by calculating the Economic Order Quantity (EOQ) using the formula Q = √((2 * C * T) / r), and rounding the result to a convenient amount.

The Economic Order Quantity (EOQ) model is typically used for inventory management, not for optimizing cash withdrawals. However, if we assume that the question is seeking an optimal withdrawal strategy to minimize transportation costs and maximize interest earnings, we can approach it as follows:

Let's denote:

C = Annual cash need ($5,000)

T = Transportation cost per visit ($5)

r = Annual interest rate (5%)

To find the optimal solution for the amount of cash to withdraw each time, we can consider the trade-off between transportation costs and interest earnings. The objective is to minimize the total cost.

Calculate the optimal order quantity (Q) using the EOQ formula:

Q = √((2 * C * T) / r)

Round the calculated Q to the nearest convenient amount, such as multiples of $100 or $500.

The optimal solution would be to withdraw the rounded Q amount each time to minimize transportation costs while still meeting the annual cash need.

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The equation in the form y is mx + b is: z = xy + x = 3x + 36

Given:The phone company Blurizon has a monthly cellular plan where a customer pays a flat fee for unlimited voice calls and then a certain amount per GB of data used.Cost of 12 GB is $72.Cost of 38 GB is $150.Let,The flat fee for unlimited voice calls = $ xThe cost per GB of data used = $ yMonthly Cost = $ z (dependent variable)

Hence, the equation in the form y = mx + b is z = xy + x which is the equation of a line in slope-intercept form, where m is the slope and b is the y-intercept. Here, the slope is the cost per GB of data used (y) and the y-intercept is the flat fee for unlimited voice calls (x).

So, using the given data:When the customer uses 12 GB, the monthly cost will be $72, hence72 = 12y + x 1.....(i)When the customer uses 38 GB, the monthly cost will be $150, hence150 = 38y + x 2....(ii)To get the value of y, we can eliminate the variable x using either of the above two equations:

Subtract equation (i) from equation (ii), we get,78 = 26y => y = 3So, x can be found by substituting the value of y in equation (i):72 = 12(3) + x=> x = 36Thus, the equation in the form y = mx + b is:z = xy + x = 3x + 36

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only the equation y=1/x shows an indirect proportional relationship, while the other three equations show either a direct proportional or a linear relationship.

How to solve the question?

The mathematical term "indirectly proportional" refers to a relationship in which two variables are related in such a way that when one increases, the other decreases, and vice versa. In other words, the two variables vary in opposite directions.

Out of the four equations given, only one shows an indirect proportional relationship. This equation is:

y=1/x

In this equation, y and x are indirectly proportional. As x increases, the value of 1/x decreases, and therefore, the value of y decreases as well. Similarly, as x decreases, the value of 1/x increases, and the value of y increases as well. This relationship is commonly known as an inverse relationship, where the two variables vary in opposite directions.

On the other hand, the other three equations do not show an indirect proportional relationship. The equation y=5x shows a direct proportional relationship, where y increases as x increases and vice versa. The equation y=-2x+1 is a linear equation with a negative slope, where y decreases as x increases, and y increases as x decreases. Lastly, the equation y=3x+5 is also a linear equation with a positive slope, where y increases as x increases, and y decreases as x decreases.

In summary, only the equation y=1/x shows an indirect proportional relationship, while the other three equations show either a direct proportional or a linear relationship.

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Answer: In 1 hour , it will waste = 1.25ml

Step-by-step explanation:

Volume of water  wasted by the tap in 9 Hours = 11,250 ml

Since  it drips in equal quantity,

In 1 hr , it will drip=  1 x 11,250 / 9 = 1,250 ml

But  1000 ml = 1 Liter

1250 ml = 1250ml x 1Liter / 1000ml= 1.25L

Using the bisection concept, it is found that the measure of angle PQR is of 130º.

A bisection divides an angle into two equal angles. In this problem, the angles are given as follows:

Hence the value of x is given as follows:

3x + 5 = 2x + 25

x = 20º.

Hence the measure of angle PQR is given as follows:

m<PQR = 3x + 5 + 2x + 25 = 5x + 30 = 5 x 20º + 30º = 130º.

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Answer:

16

Step-by-step explanation:

We can calculate the value of x using Euclidean theorem

15^2 = 9 × (x+9)

225 = 81 + 9x subtract 81 from both sides

144 = 9x divide both sides by 9

16 = x

Answer:

2x + 4.8y  +13.2

Step-by-step explanation:

1. (4)(0.5x+2.5y+−0.7+−1.3y+4)

2. (4)(0.5x)+(4)(2.5y)+(4)(−0.7)+(4)(−1.3y)+(4)(4)

3. 2x+10y−2.8−5.2y+16

4. 2x + 4.8y  +13.2

I hope this helped, please mark Brainliest, thank you!!

Answer:

-0.8x + 4.8y + 16

Step-by-step explanation:

Answer:

c = √52

Step-by-step explanation:

applying pythagoras theorem: a² + b² = c²

where 'a' and 'b' are legs and 'c' the hypotenuse.

Substitute values:

6² + 4² = c²

c² = 36 + 16

c² = 52

c = √52

The solution is, The number is 280.

We have,

The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

Let the number be x.

According to the given question.

5/8 of number is 175.

The linear equation in one variable of the above statement is given by

5/8 * (x) = 175

Solve the above linear equation in one variable for x.

⇒5/8 * (x) = 175              ( multiplying both the sides by 8)

⇒ 5x = 175 * 8

⇒ 5x = 1400               ( dividing both the sides by 5)

⇒ x = 280

Hence, the number is 280.

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Answer:

x = 13

Step-by-step explanation:

Since AD is a straight line, then the 3 angles at C sum to 180° , thus

∠ BCE = 180° - (90 + 64)° = 180° - 154° = 26°

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ ABE is an exterior angle of the triangle, thus

3x = x + 26 ( subtract x from both sides )

2x = 26 ( divide both sides by 2 )

x = 13

Answer:

if you make a drawing, you will see that you have created a right triangle with the angle of elevation opposite the leg that is the height of the flagpole.

The length of the shadow is the other leg, adjacent to the angle of elevation.

Applying the trigonometric identity for right triangles:

tan(angle of elevation) = opposite/adjacent -->

tan(15) = height/37 -->

height = 37 * tan(15) = 9.9

9 unit rate in minutes per mile, 1/9 is Lisa's unit rate in miles per minute. 5 miles will Lisa have run after 45 minutes and 63 minutes would it take Lisa to run 7 miles.

A unit rate means a rate for one of something.

Given:

Lisa takes 27 minutes to run 3 miles.

We need to find unit rate in minutes per mile.

27/3=9minutes/ mile

Lisa's unit rate in miles per minute.

3/27=1/9 miles / minute

At this rate how long Lisa have run after 45 minutes

27/3=45/x

27x=135

Divide both sides by 27

x=5

Hence in 45 minutes Lisa run 5 miles.

The time for Lisa to run 7 miles

27/3=x/7

27(7)=3x

189=3x

x=63 minutes

Hence 9 unit rate in minutes per mile, 1/9 is Lisa's unit rate in miles per minute. 5 miles will Lisa have run after 45 minutes and 63 minutes would it take Lisa to run 7 miles.

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5 : 3  is the ratio of cooking times for the rice to pasta .

What does a math ratio mean?

When b does not equal 0, an ordered pair of numbers a and b, represented as a / b, is said to be a ratio. A percentage is an equation in which two ratios are made equal to one another.

                                    You might express the ratio as 1: 3 for instance, if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.

Rice takes 20 minutes to cook

pasta takes 12

the ratio of cooking times for the rice to pasta = 20  :  12

                                                                            = 5 : 3

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To find the amount of oatmeal in ounces for 1 ounce of milk, we use the following proportion

Now, we solve for x.

So, for 1 ounce of milk, the amount of oatmeal is 4/5 ounces.

Now, let's find the amount of milk for 5 1/10 ounces of oatmeal.

Now, we solve for x

Hence, there are needed 6 3/8 ounces of milk to get 5 1/10 ounces of oatmilk.

1 ) x²-1

x³+4

2) 2x 4/3

3) now try these all

Answer:

The midpoint is (0,2)

Step-by-step explanation:

To find the x coordinate, average the x coordinates of the endpoints

(-4+4)/2 = 0/2 =0

To find the y coordinate, average the y coordinates of the endpoints

(6+-2)/2 = 4/2 =2

The midpoint is (0,2)

The angle ∠DEF is equal to 90 degrees. Then the triangle ΔDEF will be a right-angle triangle.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function. The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The angle ∠DEG = 51° and angle ∠GEF = 39°.

Then prove that the triangle ΔDEF will be a right-angle triangle. Then we have

We know that if one angle of the triangle is 90 degrees then the triangle will be named a right-angle triangle.

The sum of the angle ∠DEG and ∠GEF will be

∠DEF = ∠DEG + ∠GEF

∠DEF = 51° + 39°

∠DEF = 90°

Then the triangle ΔDEF will be a right-angle triangle.

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The mean and range of the same population can differ if there is a significant difference between the sampled respondents.

Between Jayden and Carter, Carter's calculation will provide a better understanding of the population.

The reason is that he sampled more people with a wider time range.

The mean is the average number of minutes it took for the respondents to dress up. The goal of any survey work is to capture a significant size of the population whose opinions can give a true picture of the situation being examined.

In the case of Carter, we see that he took a more sizable amount of the population having randomly selected 7 samples of 10 students. A greater number of respondents will give a truer picture of the factor being surveyed.

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Answer:

The situation you are describing can be written as y=2x, or in this case t=2f, for every fragrance purchased there are 2 ounces of lotion that are given. Since the ounces of fragrance are not shown in this question, we can only make the graph on the ounces of lotion for every fragarance purchased. The points of the graph represent that for every fragrance bought, there is twice the amount of that in ounces of lotion. In summary,  the rule is t=2f where t would equal purchases of fragrance and f would equal the ounces of lotion.

(If there is any more you would like to add to the question I can answer that.)

Answer:

A would be the answer

Step-by-step and

Answer:

If the two lines have the same slope, they are parallel but they can't be the same line

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Given

x² - 36 = 0 ( add 36 to both sides )

x² = 36 ( take the square root of both sides )

x = ± \(\sqrt{36}\) = ± 6

That is x = - 6, x = 6 → C

Answer:

The image does not pop up for me because im on a laptop so im sorry

Step-by-step explanation:

i kinda just need point