Solve for x please help

Standard form of ellipse has equation [tex]\frac{y^2}{a^2} +\frac{x^2}{b^2} =1[/tex] where, a and b are the halves of the length of major and minor axis respectively.

Given that,

Length of major axis(2a)=6.

So

a=6/2

 =3

Length of minor axis(2b)=4.

So

b=4/2

 =2

Putting in equation of standard ellipse. We get

[tex]\frac{y^2}{3^2} +\frac{x^2}{2^2} =1[/tex]

After simplifying

4y² + 9x² = 36

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The marked-up price of the desk in the furniture store is $158.92.

The markup is the difference added to the cost of a product or service.

The markup represents the seller's profit on the cost.

The markup differs from the margin, which is the ratio of the seller's profit to the sales price.

The wholesale price of a desk = $137

Markup rate = 16%

Marked-up price = $158.92 ($137 x 1.16)

Thus, the desk is sold at the marked-up price of $158.92.

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We can write the given statement as inequality as -

-(x/9) < 12

Linear inequalities are defined as expressions in which two linear expressions are compared using the inequality symbols.

Reversal property : If (a > b) then (b < a) and  if (a < b) then (b > a).

Law of Trichotomy : The "Law of Trichotomy" says that - only one of the following is true : (a < b) or (a = b) or (a > b).

The general equation of a straight line is y = mx + c

Other possible equations of lines are -

We have the following statement -

"the quotient of a number and three minus twelve is less than 12".

We can write the inequality as -

-(x/9) < 12

Therefore, we can write the given statement as inequality as -

-(x/9) < 12

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The correct 7 digit combination safe-breaker code which is a palindrome is given by 6437346.

A palindrome is a number that reads the same both forward and backward in mathematics. Examples of palindromes include 353, 787, and 2332.

The following straightforward procedure may be used to find other palindromes given any set of integers.

Start with any number in step one. Identify it as original number. Reverse the original number's digits.

Call the number whose numbers have been reversed in step two. The new number should be added to your original one.

Call the number discovered by combination of the new number with the test number.

Step 3: You're finished if the test number is a palindrome. If the test number is incorrect, use your original number instead and complete the previous procedures using your test number.

How to solve?

Let the seven-digit code be given by abcdefg. As it is palindrome therefore, a=g, b=f, c=e, and d=d. Also, first digit is double than third digit that is a=2c.

As per the question d=7, c=f-1 and,

b=7-3 = 4.

Since the number is palindrome so b=f. Therefore f=4.

Now, c=f-1 => c = 4-1 = 3, and c = e = 3.

Also, a=2c => a=6.

Thus, the numbers are a=6, b=4, c=3, d=7, e=3, f=4, g=6 and the combination is 6437346.

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The measurement of angle DBC is 100°. It can be obtained by the properties of bisector of an angle and algebriac multiplication.

What is angle bisector?

An angle bisector is the ray or line segment that divides the angle into two equal parts.

Since the segment BD bisects angle ABC hence,

∠ABC = ∠ABD+∠DBC               ..... (1)

Also, since segment BD bisects angle ABC hence,

∠ABD = ∠DBC

Use this fact in equation (1)

∠ABC = ∠ABD+∠ABD

∠ABC =2 ∠ABD

Now, substitute values and use algebriac multiplication.

7x = 2(3x+25)

7x = 6x+50

7x - 6x= 50

x=50

Now, substitute the value of x in the expression of ∠ABD.

∠ABD = 3x+25

∠ABD = 3(50)+25

∠ABD = 100

Now, since ∠ABD = ∠DBC hence, ∠DBC = 100.

Hence, the measurement of angle DBC is 100°.

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They both Bihn and Inscoe can do same work in 3(1/13) hours.

How to solve work time problems?

Efficiency = (work)/(time)

Bihn can write one test =  Eight hours

Bihn's one hour work = 1/8

Inscoe can write one test = Five hours

Inscoe's one hour work = 1/5

Bihn and Inscoe 's one hour work =  1/8 + 1/5

= (5 + 8)/40

= 13/40

Both Bihn and Inscoe can do same work in 40/13

= 3(1/13) [13 * 3 + 1]

Hence, they both Bihn and Inscoe can do same work in 3(1/13) hours.

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The Height of trees are equal after 4 years and the height is 54 inches.

A linear equation is a equation which draws straight line on the plot

when plotted.

Given,

Height of tree A at the time of planting = 38 inches

Height of tree B at the time of planting = 22 inches

Each year  tree A grow = 4 inches

Each year  tree B grow = 8 inches

Let's make an equation for the height of the trees,

H = 38 +4t

H = 22+8t

Now the time when height of both the trees will equal

38 + 4t = 22 + 8t

4t = 16

t = 4

Hence , After 4 years the height of both the trees will equal and the height of both the trees after 4 years will be 54 inches.

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The length of the segment connecting (-4, 3) and (-5,2) is 1.4.

The length of a line segment can be measured by measuring the distance between its two endpoints.

Therefore, the length of the segment connecting (-4, 3) and (-5,2) can be found as follows:

length of the segment = √(2 - 3)² + (-5 + 4)²

length of the segment = √(-1)² + (-1)²

length of the segment = √1 + 1

length of the segment = √2

length of the segment = 1.41421356237

length of the segment = 1.4

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Gianna washes 15 cars in 5 hours as her rate of washing cars is 3 cars per hour.

What is unitary method?

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

According to the given question:

Gianna can wash 6 cars in 2 hours

Therefore, in 1 hour she can wash 6/2 cars which is 3 cars.

Gianna's rate of washing cars is 3 cars per hour

Hence by unitary method, Gianna at this rate can washes 5 x 3 cars that is 15 cars.

Gianna washes 15 cars in 5 hours as her rate of washing cars is 3 cars per hour.

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Answer:

3x3 should be the maximum dimensions of a rectangle with a perimeter of 12.

the diameter to allow an elongation of 0. 38 mm therefore required diameter is 7.65 mm

Given the data in the question;

F = 11100 N

l₀ = 310 mm = 0.31 m

E = 207 GPa = 207 × 10⁹ N/m²

Δl = 0.38 mm = 0.0005 m

So, lets assume the deformation is elastic;

d₀ = √(  [4l₀F] / [πEΔl] )

we substitute

d₀ = √(  [4 × 0.38 × 11100] / [π × (207 × 10⁹) × 0.0005]] )

d₀ = √( 10123.2 / 172787595.947 )

d₀ = √( 5.85875 × 10⁻⁵ )

d₀ = 0.007654 m

d₀ = ( 0.007654 × 1000 )mm

d₀ = 7.65 mm

Therefore, required diameter is 7.65 mm

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Answer:

460000 milligrams converted to pounds would be 1.01 pounds.

Step-by-step explanation:

Ques) What is the symbol (∑)?

This symbol is used to denote the sum of multiple numbers.

This symbol is generally put by an index that varies to encompass all terms that must be considered in the sum of all the numbers.

In order to calculate the arithmetic mean of a set of data, the first step is to add up (sum) all of the data values (x) and then divide the result by the number of values (n). Since ∑ is the symbol used to indicate that values are to be summed (see Sigma Notation) we obtain the following formula for the mean

Mean = ∑ x/n

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The correlation coefficient r between an employee's age, x, and annual income, y, given as 0. 923, will vary by 85.2% of its value.

The Pearson correlation coefficient, sometimes referred to as Pearson's r, Pearson's product-moment correlation coefficient, bivariate correlation, or simply the correlation coefficient, is a statistical indicator of the linear relationship between two sets of data. A correlation coefficient is a statistical indicator of how well changes in one variable's value predict changes in another. When two variables are positively linked, the value either rises or falls together. With a correlation value of 1, there is a fixed proportional rise in one variable for every positive increase in the other. For instance, shoe sizing increases almost perfectly with foot length.

Here,

The correlation coefficient= 0.923

The percent of variation,

=correlation coefficient²*100

=0.923²*100

=85.192%

=85.2%

When the correlation coefficient r between an employee's age, x, and yearly income, y, is provided as 0. 923, the percent of variance will be 85.2%.

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A) The number of pounds that the beverage cans are recycled in an hour is 119772 pounds

B) The number of tons that the beverage cans are recycled in an average day is 2397 ton

C) The number of Kilograms that the beverage cans are recycled in a day is 57528000 kg

The pound is the main unit of sterling, and the term "pound" is frequently used to refer to British currency in general, which is often qualified in foreign contexts as the British pound or the pound sterling.

In 2002 about 34 beverages can weigh one pound.

In one minute 113204 beverage cans are recycled.

In one hour, 60 minutes number of beverage cans recycled=113204×60

=6792240

34 beverage cans weight 1 pound

1 beverage cans weight=1/34 pounds

A) 6792240 beverage can weigh=1

=(1/34)(6792240) pound

=119771.765 pound

≈119772 pound

B) So, In 24 hours, no. of pounds recycled

=119772×24 pound

=119772×24×0.0005 ton

=2397.26 ton

≅2397 ton in one day.

C) So, In 24 hours, no. of tons recycled

=2397×24 ton

=2397×24×1000 kg

=57528000 kg

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Answer:

Neither

Step-by-step explanation:

Line d:

m = 4-9/2-6 = -5/-4 = 5/4

Line e:

m = 7-3/10-5 = 4/5

It would be neither because if it was perpendicular, one of the slopes' would have to be negative.

The expression that represents the perimeter of the rectangle is 8x - 14

A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles. The opposite sides of the rectangle are equal in length which makes it different from a square.

Length of rectangle(L) = x - 4

Width of rectangle(W) = 3x - 3

Perimeter of rectangle = 2(L + W)

L =  x - 4, W = 3x - 3

Perimeter of rectangle = 2( x - 4 + 3x - 3)

Perimeter of rectangle = 2( 4x - 7) which is 8x - 14

In conclusion 8x - 14 is the expression for the perimeter of the rectangle

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Answer:

√130

Step-by-step explanation:

                              |

          ?                  |         7

                              |

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

            9

a² + b² = c²

7² + 9² = c²

49 + 81 = c²

130 = c²

√130 = √c²

√130 = c

I hope this helps!

Answer:

8.m = ∞

9.[tex]m=\frac{20c-39}{54}[/tex]

Step-by-step explanation:

8.The equation is a vertical line, so the slope is ∞

so the answer for 8. is m = ∞

9.Switch sides:

2.7m + 1.95 = c

Multiply both sides by 100:

2.7m · 100 + 1.95 · 100 = c · 100

Refine:

270m + 195 = c · 100

Move 195 to the right side so it would be: 270m = c · 100 - 195

And now Divide both sides by 270

[tex]\frac{270m}{270}[/tex] = [tex]\frac{c*100}{270}[/tex] - [tex]\frac{195}{270}[/tex]

And now all that's left is to Simplify it

so the answer for answer 9. is [tex]m=\frac{20c-39}{54}[/tex]

The blanks are filled as below

Collinear points are those that are situated along a single straight line.

Collinear points are those that are on a line either close to or far from another point, it can be more than two points.

While coplanar points imply lying on the same plane

In the diagram,

E, F, and G are collinear points

D, B, E, F, and G are coplanar points

A, B, and C are another collinear points

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The number of miles Melissa travelled that night is approximately 667 miles.

Melissa is planning to rent out a limo for her friends and herself for prom.

Limousine rates charge a 450 flat rate plus an additional 30 cents for every mile travelled.

Melissa aid the limousines driver $200 for prom. The number of miles she travel can be calculated as follows;

using equation,

y = 450 + 0.3x

where

Therefore,

200 + 450 = 450 + 0.3x

650 = 450 + 0.3x

650 - 450 = 0.3x

200 = 0.3x

x = 200 / 0.3

x = 666.666666667

x = 667 miles

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Answer:

a. 1/2 or 50% b. 1/2 or 50%

Step-by-step explanation:

a. 1/2 of 50%

Since theres 2 sides, and 1 head, it will be 1/2 outcomes so 1/2.

b. Stil 1/2 or 50%

The coin flips are not dependent, and they have 2 outcomes and 1 tails.

Stil 1/2

the amount invested at 4% interest rate = P = $1228.57

The amount invested at 5% interest rate = 2P = $2457.14

What is principle interest ?

Every mortgage payment is made up of principal and interest, which are its two main components. The principal, which you borrow for your mortgage, and the interest, which you pay each month to use the loan, are the same thing. You may select the finest mortgage choice for you by being aware of both principle and interest.

We will use the simple interest formula: A=P(1+rt)

where: A=total amount accrued, P=principal, r=rate of investment, t=time (years, here). r and t are given, and we know that the total amount accrued from both accounts minus the invested amounts (principals) will be $175.

A1=P(1+0.04*1) simplified: A1=P(1.04)

A2=2P(1+0.05*1) simplified: A2=2P(1.05)

because the amount invested in the account with interest rate of 5% is twice as much as the amount invested at 4% interest rate.

A1+A2-P-2P=175 because the total income is $175.

Substituting in equations 1 and 2 we get:

P(1.04)+2P(1.05)-P-2P=175

1.04P+2.1P-3P=175

3.14P-3P=172

0.14P=172

P=1228.57

So, the amount invested at 4% interest rate = P = $1228.57

The amount invested at 5% interest rate = 2P = $2457.14

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Answer: It is A

Step-by-step explanation:

Answer:

C. $4.00

Step-by-step explanation:

Profit, which is given by [tex]P(x)[/tex], is maximized when the price per drink is $4.00, as shown on the graph.

The number of calories in one cup is 132 calories and the number of calories in 4 cups is 528 calories.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a box of cereal states that there are 99 calories in a ​3/4 cup serving.

The number of calories per cup is calculated as,

3 / 4 cup = 99 calories'

1 cup = 99 x (4 / 3 )

1 cup = 132 calories

The number of calories for 4 cups of cereal,

1 cup = 132 calories

4 cup = 132 x 4 calories

4 cup = 528 calories

Therefore, the number of calories in one cup is 132 calories and the number of calories in 4 cups is 528 calories.

Therefore, the number of calories in one cup is 132 calories and the number of calories in 4 cups is 528 calories.

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Answer:

B: (5,3)

Step-by-step explanation:

We just fill in the coordinates

A: (7,9)

9=7-2

9=5

not true

B: (5,3)

3=5-2

3=3

true

C: (7,14)

14=7-2

14=5

not true

D: (5,7)

7=5-2

7=3

not true

so b is the only correct answer

hopes this helps please mark brainliest