One number is 13 less than another number. Let x represent the greater number

Answer:

y = -2280x + 31,500

or

when x = 6

so 6 years

Step-by-step explanation:

y = -2280x + 31,500

y = -2280(6) + 31,500

y = -13,680 + 31,500

y = 17,820

Answer:

117

[tex]100[/tex]

by taking the interior angle sum as 360

Answer:

x > -13/12

Step-by-step explanation:

x + 3/4 > - 1/3

x + 9/12 > -4/12

x > -13/12

-1/3 = -4/12

3/4 = 9/12

Answer:

x > - 13

12

Step-by-step explanation:

[tex]x + \frac{3}{4} > - \frac{1}{3} \\ x + \frac{3}{4} - \frac{3}{4} > - \frac{1}{3} - \frac{3}{4} \\ x > \frac{ - 4 - 9}{12} \\ x > - \frac{13}{12} [/tex]

Answer:

1. You forgot to say what we have to do, we can't simplify or solve... so what do we do??

2. could you please rewrite on computer sorry I can't understand some

Step-by-step explanation:

Just checking if I'm right but

1. 6x² y + 14y²

2. 16x²+44

3. 26⁶ + 106⁴ -70

4. 81y² - 36

5. x² - 12 * + 27?

Answer:

-17

Step-by-step explanation:

p+5=-12

five over and switch signs

p=-17

Answer: 300 feet

Step-by-step explanation:

you see according too my outstanding intelligence its 300 due to me owning the building

Step-by-step explanation:

how tall is the building with 9 floors now ?

or how high or tall is ombre floor ?

you left out crucial information.

I can give you only a relative answer assuming that the autumnal floors would have the same heir as the existing ones :

the existing building with 9 floors has a ratio of 9/9 floors, so it's size is 9/9 = 1/1 to its current size.

the extended building with 15 floors would have a size of 15/9 = 5/3 times its current size.

Using angle relationships we have:

1. 18x = 180; x = 10

14x = 140°

4x = 40°

2. 7x + 40 = 180; x = 20

4x + 30 = 110°

3x + 10 = 70°

3. 4x + 80 = 180; x = 25

2x + 80 = 130°

2x = 50°

4. 7x + 5 = 180; x = 25

6x = 150°

x + 5 = 30°

In order to determine the value of x and find the missing angle measures, we must use the appropriate angle relationship to create an equation to solve for x.

1. 4x + 14x = 180 [the angle relationship is that they are supplementary angles and therefore have a sum of 180 degrees.]

18x = 180

18x/18 = 180/18

x = 10

Plug in the value of x

14x = 14(10) = 140°

4x = 4(10) = 40°

2. 3x + 10 + 4x + 30 = 180 [supplementary angles]

7x + 40 = 180

7x = 180 - 40

7x = 140

7x/7 = 140/7

x = 20

Plug in the value of x

4x + 30 = 4(20) + 30 = 110°

3x + 10 = 3(20) + 10 = 70°

3. 2x + 2x + 80 = 180 [the angle relationship is supplementary]

4x + 80 = 180

4x = 180 - 80

4x = 100

4x/4 = 100/4

x = 25

2x + 80 = 2(25) + 80 = 130°

2x = 2(25) = 50°

4. 6x + x + 5 = 180 [the angle relationship is supplementary]

7x + 5 = 180

7x = 180 - 5

7x = 175

x = 25

6x = 6(25) = 150°

x + 5 = 25 + 5 = 30°

Learn more about angle relationships on:

https://brainly.com/question/12591450

#SPJ1

   Here is a formula for figuring out loan interest payments. Divide the annual payment amount, typically 12 months, by the interest rate you are being charged. Divide that sum by your loan's initial balance, which should be set at the full amount you borrowed.

Depending on the APR and length of the loan, the monthly payment for a $30,000 loan can vary from 64.48. For instance, your monthly payment would be $3095.21 if you took out a $30,000 loan for one year with an APR of 1.54%.

Example

Amount of Loan: = $3,000

monthly payment  = 64.48

interest = 1.54

term equals 48 months

The total amount paid, including interest, was $305.21.

To Learn more About Loan calculation, Refer:

https://brainly.com/question/26077394

#SPJ13

The length of the indicated lines segments are as follows:

The line segment is given and we are ask to find the length HI and HJ in the line segment.

Therefore, let's find HI

13.

HI = x - 2

GI = 13

HJ = 2x + 2

GJ = 4x - 19

Hence,

GH = 4x - 19 - (2x + 2)

GH = 13 - (x - 2)

Therefore,

4x - 19 - 2x  - 2 = 13 - x + 2

2x  - 21 = 15 - x

2x + x = 15 + 21

3x = 36

x = 36 / 3

x = 12

Therefore,

HI = x - 2 = 12 - 2 = 10

12.

Let's find HJ

HJ = x + 30

IJ = 2x + 26

HK = x + 33

IK = 9

Therefore,

JK = x + 33 - (x + 30) = x + 33 - x - 30 = 3

JK = 9 - (2x + 26) = 9 - 2x  - 26 = -2x - 17

Therefore,

-2x - 17 = 3

-2x = 3 + 17

-2x = 20

x = 20 / - 2

x = - 10

Therefore,

HJ = -10 + 30 = 20 units

learn more on length here: https://brainly.com/question/12525882

#SPJ1

The most appropriate choice for fraction will be given by -

Rebeca still needed [tex]3\frac{3}{4}[/tex] yards of fabric to make a quilt.

What is a fraction?

Suppose there is a collection of objects and a part of collection has been taken. The part which is taken is called fraction. In other words, part of a whole is called fraction.

The upper part of fraction is called numerator and the lower part of fraction is called denominator.

Here,

Length of fabric needed to make a quilt = [tex]10\frac{1}{2}[/tex] yards = [tex]\frac{21}{2}[/tex] yards

Length of  one piece of fabric = [tex]2\frac{1}{2}[/tex] yards = [tex]\frac{5}{2}[/tex] yards

Length of another piece of fabric = [tex]4\frac{1}{4}[/tex] yards = [tex]\frac{17}{4}[/tex] yards

Total length of fabric Rebeca has = [tex]\frac{5}{2} + \frac{17}{4}\\[/tex]

                                                        = [tex]\frac{10 + 17}{4}\\[/tex]

                                                        = [tex]\frac{27}{4}[/tex] yards

Length of Fabric Rebeca still needed to make a quilt = [tex]\frac{21}{2} - \frac{27}{4}\\[/tex]

                                                                                        = [tex]\frac{42 - 27}{4}[/tex]

                                                                                        = [tex]\frac{15}{4}[/tex]

                                                                                         = [tex]3\frac{3}{4}[/tex] yards

To learn more about fraction, refer to the link-

https://brainly.com/question/17220365

#SPJ9

Answer:

h = 5m

Step-by-step explanation:

A = 1/2bh

15 = 1/2(6)h

15 = 3h

h = 5

Given Data:

The total number of toppings is: 23

The total number of selection is: 4

The expression to calculate the total number of compinations is,

Thus, a total of 8855 numbers of combinations are available.

Answer:

C. 26

Step-by-step explanation:

[tex]{ \tt{f(x) = - 9x + 8}}[/tex]

- f(-2) implies that x = -2, therefore; we substitute -2 in place of x in the function;

[tex]{ \tt{f( - 2) = - 9( - 2) + 8}} \\ \\ { \tt{f( - 2) = 18 + 8}} \\ \\ { \tt{f( - 2) = 26}}[/tex]

Answer:

2/3

Step-by-step explanation:

2/3 is equivalent to 10/15

the answer Is 1:3

Step-by-step explanation:

reduce 4:12 to the lowest term and you will have 1:3

The Right angled triangle △PQR, with the right angle at R, as plotted in the cartesian plane attached thereby along with the question statement, has an area of 25 sq. units.

As per the question statement and the graph attached alongside, a right angled triangle △PQR, with the right angle at R is plotted.

We are required to calculate the area of the above mentioned triangle.

To solve this question, first we will need to identify the coordinates of the vertices of PQR, which can be easily done by observing the plotted PQR in the reference attachment. Since R is the right angle, PR is the perpendicular or altitude for the △PQR while QR is it's base. Then, using the distance formula, we will calculate the lengths of PR and QR, and then apply these length magnitudes into the formula to calculate the area of a triangle which goes as [(1/2) * (base) * (altitude)].

Also, we need to know the distance formula which goes as,

"The distance between any two points (x₁, y₁) and (x₂, y₂) can be given by

√[(x₂ - x₁)² + (y₂ - y₁)²]"

From the plotted graph, we observe the coordinates of P as (-6, 9), Q as (-1, -1) and R as (-9, 5).

Now substituting the coordinates of P and R in the above mentioned distance formula, we get

PR = √[{(-9) - (-6)}² + (5 - 9)²]

Or, PQ = √[{(-9) + 6}² + (-4)²]

Or, PQ = √[(6 - 9)² + 16]

Or, PQ = √[(-3)² + 16]

Or, PQ = √(9 + 16)

OR, PQ = √25

Or, PQ = 5 units.

Similarly, substituting the coordinates of Q and R in the above mentioned distance formula, we get

QR = √[{(-9) - (-1)}² + {5 - (-1)}²]

Or, QR = √[{(-9) + 1}² + (5 + 1)²]

Or, QR = √[(1 - 9)² + (6)²]

Or, QR = √[(-8)² + 36]

Or, QR = √(64 + 36)

OR, QR = √100

Or, QR = 10 units.

Therefore, Area of our concerned triangle PQR

= [(1/2) * 10 * 5] = [(10/2) * 5 = (5 * 5) = 25 sq. units.

To learn more about Right-angled Triangles, click on the link below.

https://brainly.com/question/22548775

#SPJ1

Nine to the power of x, and 3 to the power of 2+x. 9ˣ and [tex]3^{2+x}[/tex]  are equivalent.

Given that,

Nine to the power of x, and 3 to the power of 2+x.

9ˣ and [tex]3^{2+x}[/tex]

Exponent means the amount of times a number has been multiplied by itself is shown by its exponent. The result of multiplying 8 by itself n times is represented as follows:

8 × 8 x 8 x 8... times equals 8ⁿ

The phrase 8ⁿ above is pronounced as 8 raised to the power n. As a result, exponents are also sometimes referred to as power or indices.

9ˣ=[tex]3^{2+x}[/tex]

[tex]3^{2x}[/tex]=[tex]3^{2+x}[/tex]

Here, bases are equal powers are also equal.

2x=2+x

2x-x=2

x=2

If we substitute x=2 we get 9²=81 and [tex]3^{2+2}[/tex]=3⁴=81

Therefore, 9ˣ and [tex]3^{2+x}[/tex] are equivalent.

To learn more about equivalent visit: https://brainly.com/question/14672772

#SPJ1

Answer:

Discount:

$2.10

Final Price:

$18.90

Step-by-step explanation:

Answer:

Step-by-step explanation:

$30.4

Step-by-step explanation:

fist we figure out what 5% of 32 is which is 1.6 then we subtract it from the total cost 32 - 1.6 = 30.4

Answer:

is 11

Step-by-step explanation:

a). The percentage of adults that exercise is 42%

b). Percentage of adults are vegetarian is 40%

c). percentage of adults who are vegetarian and exercise is 26%

d). No, because the percentage found in part c is about the same as part b.

Percentage is a number or ratio that can be expressed as a fraction of 100.

According to data, total number of adults = 150

No. of vegetarian who exercise = 39

no. of non vegetarian who exercise = 24

No of vegetarian who don't exercise = 21

a). percentage of adults exercise = 39+24/150×100

=42%

similarly b) percentage adults are vegetarian = 39+21/150×100

= 40%

c) percentage of adults who are vegetarian exercise = 39/150×100

= 26%

To know more about percentage, visit:

https://brainly.com/question/26352729

#SPJ13

The population at the onset as 250,000. There has been a 3.5% decrease every year.

The exponential decay function therefore is;

Hence, to approximate what the population would be 7 years from now;

The population after 7 years shall be 194,819 people (rounded to the nearest whole number).

Proportionately, the amount of money in Dean's wallet from the beginning was £90.

A proportion is the portion of a variable contained in another variable.

Proportions are like ratios; they show the fractional part taken away from a whole number or value.

Proportions are stated as fractions, decimals, or percentages.

The first amount spent from his wallet = 2/5

The next amount spent from his wallet = 2/5

The sum of the fractional spending = 4/5 (2/5 + 2/5)

The total amount spent = £72

Let 4/5 = £72

The total money in his wallet = £90 (£72 ÷ 4/5)

Thus, since Dean had spent 4/5, which equals £72, proportionately, he had £90 to start with.

Learn more about proportions at brainly.com/question/1496357

#SPJ1

Answer:

13

Step-by-step explanation:

12-{1+2[-1(3-8]2}

12-{1+2[-1-5]2}

12-{1+2[-6]2}

12-{3-4}

12-(-1)

12+1

13

Answer: -39 is the answer

Step-by-step explanation:

Answer:

x = 146°

Step-by-step explanation:

The given shape is a Rhombus. In rhombus, adjacent angles are supplementary.

     x + 34 = 180°

Subtract 34 from both sides,

             x = 180 - 34

             x = 146°

The length of the tree's shadow will be 35.59 ft.

Tangent function is one of the six trigonometric functions in mathematics. In heights and distances, tangent of the angle of elevation or depression can be used to calculate the distance or height of an object as -

tanФ = [P]/[B]

The domain and range of the tangent function is -

Domain - R - {(2k+1)π/2}     [where k is an integer]

Range - R  [where R is the set of real numbers]  

Given is angle of elevation of the sun during a certain time of day as 42.4°. At this specific time day a 32.5 foot tree casts a shadow on the ground.

Assume that angle of elevation is equal to Ф

Now, using the tangent function, we can write -

tanФ = [tree height] / [tree shadow]

tan(42.4) = 32.5 / [tree shadow]

tree shadow = (32.5/tan(42.4))

tree shadow = 32.5/0.913 = 35.59 ft

Therefore, the length of the tree's shadow will be 35.59 ft.

To solve more questions on heights and distances, visit the link below-

https://brainly.com/question/3862003

#SPJ1

A) The total cost of downloading B will be £13.3.

B) The total cost of downloading B for 5 tracks is less than 5 p.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Harry downloads album A which has 11 tracks.

The total cost of downloading A is £10.45

Now,

Since, Harry also downloads album B which has 14 tracks.

So, The total cost of downloading B = £10.45 x 14 / 11

The total cost of downloading B = £146.3 / 11

The total cost of downloading B = £13.3

And, The total cost of downloading B for 5 tracks =  £10.45 x 5 / 11

The total cost of downloading B for 5 tracks =  £52.25 / 11

The total cost of downloading B for 5 tracks =  £4.75

Therefore, The total cost of downloading B for 5 tracks is less than 5 p.

Thus,

A) The total cost of downloading B will be £13.3.

B) The total cost of downloading B for 5 tracks is less than 5 p.

Learn more about the multiplication visit:

https://brainly.com/question/2811940

#SPJ1

Answer: Biased

Step-by-step explanation:

It is biased because this survey is based off of opinions, of the 7th grade boys.

Given function:

Zero's are:

1.  

2.

3.

Answer:

[tex]\textsf{$x=0$ with multiplicity 2.}[/tex]

[tex]\textsf{$x=-\dfrac{3}{2}$ with multiplicity 5.}[/tex]

[tex]\textsf{$x=4$ with multiplicity 2.}[/tex]

Step-by-step explanation:

The multiplicity of a zero refers to the number of times the associated factor appears in the factored form of the equation of a polynomial.

Given polynomial:

[tex]f(x)=x^2(2x+3)^5(x-4)^2[/tex]

To find the zeros of the given polynomial in factored form, set each factor to zero and solve for x:

[tex]\implies x^2=0 \implies x=0[/tex]

[tex]\implies 2x+3=0 \implies x=-\dfrac{3}{2}[/tex]

[tex]\implies x-4=0 \implies x=4[/tex]

As the factor "x" appears twice in the factored form of the polynomial,  the associated zero has multiplicity 2.

As the factor (2x - 3) appears five times in the factored form of the polynomial, the associated zero has multiplicity 5.

As the factor (x - 4) appears twice in the factored form of the polynomial, the associated zero has multiplicity 2.

Solution

[tex]\textsf{$x=0$ with multiplicity 2.}[/tex]

[tex]\textsf{$x=-\dfrac{3}{2}$ with multiplicity 5.}[/tex]

[tex]\textsf{$x=4$ with multiplicity 2.}[/tex]