From 1980 to 1990 the consumer price index increased from 82.4 to 130.7 if a bottle of dish soap cost 0.74 in 1980 and the price of dish soap increased at the same rate as the cpi from 1980 to 1990 by approximately how much did the price of the bottle of dish soap increase from 1980 to 1990

Answer:

  They represent positive and negative numbers.

Step-by-step explanation:

Answer:

the answer is 36q^7

Step-by-step explanation:

multiply the bases and add the exponents

Answer:

Total income= $100

Step-by-step explanation:

Giving the following information:

Hourly rate=$10

To calculate the total income, we need to use the following formula:

Total income= hourly income*number of hours

For example, for 10 hours shoveling in a week:

Total income= 10*10

Total income= $100

Answer:

3(x-3)/4-1/2=2/3  

The least common denominator will be the least common multiple of 4,2,3 which is the product of the highest occurring primes of the numbers prime factorization...

Step-by-step explanation:

4=2*2, 2=2, 3=3, so the least common denominator is 2*2*3=12

Answer:

The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN.

a

0*5 =0

1*5=5

2*5=10

3*5=15

Answer:

97.12°

Step-by-step explanation:

the value of the highlight angle =

tan~¹ 1/3 + tan~¹ 5/1 =

18.43° + 78.69° = 97.12°

Answer:

:)

Step-by-step explanation:

ok so first you have to find the area of the white triangles, so the first one is 2 x 4= 8 cm2 and the second one is 3 x 2.5= 7.5 cm2, 8+7.5= 15.5 cm2, so the non-shaded region is 15.5 cm2, ok now find the area of the whole rectangle and subtract 15.5 from it hope this helped :)

Answer: The value of x is 184.

Step-by-step explanation:

According to the similar right angled triangle properties, the product of same side of triangles is equal to the another side product.

Now calculating the value of x for the given pair of similar​ triangles.

According to the given figure:

24 × (2x - 8) = 45 × (x + 8)

(24 × 2x) - (24 × 8) = (45 × x) + (45 × 8)

48x - 192 = 45x + 360

48x - 45x = 360 + 192

3x = 552

x = 184

Thus, the value of x is 184.

Answer:

y = (-1/4)x

Step-by-step explanation:

the factor of x is in a line equation the slope of the line.

it residents actually the ratio of y/x.

in our original equation that means that for every change of x by 1 unit y changes by 4 units (actually -4 units) => -4/1 ratio.

a perpendicular line just reverses that ratio.

now, x had to change by 4 units for y to change by 1 unit (actually -1 unit)

=> -1/4

so, our wanted line equation must be in the form of

y = (-1/4)x + c

c is the offset of the line from the (0,0) point in y direction.

so, what is c ?

now we use the information of the point that is stored to be in that line : (4,-1)

=> -1 = (-1/4)×4 + c

=> -1 = -1 + c

=> c = 0

therefore, the desired line is

y = (-1/4)x

Answer:

x = 4

Step-by-step explanation:

[tex]\frac{14}{2x-1} = \frac{10}{5} \\10(2x-1) = 5*14\\20x - 10 = 70\\20x = 70+10\\20x = 80\\x = 80:20\\x = 4[/tex]

Answer: 9 months

Step-by-step explanation:

Given

Weight of the person is 206 lb

If he looses 2 lb per month, his weight after x months becomes 188 lb

Net Reduction in weight is [tex]206-188=18\ lb[/tex]

for 18 lb , time period is

[tex]\Rightarrow x=\dfrac{18}{2}\\\\\Rightarrow x=9\ \text{months}[/tex]

Answer:

[tex]\text{(a) } x=11,\\\text{(b) } \angle C=12^{\circ}[/tex]

Step-by-step explanation:

The sum of the interior angles in a triangle is always equal to 180 degrees. Therefore, we have the following equation:

[tex](3x+28)+(5x+52)+(2x-10)=180[/tex]

Solving for [tex]x[/tex]:

[tex](3x+28)+(5x+52)+(2x-10)=180,\\3x+28+5x+52+2x-10=180,\\10x+70=180,\\10x=110,\\x=\boxed{11}[/tex]

Substitute [tex]x=11[/tex] to solve for angle C:

[tex]m\angle C=2x-10,\\m\angle C=2(11)-10,\\m\angle C==22-10=\boxed{12^{\circ}}[/tex]

Answer:

To solve for the trigonometric functions of x, we need to recall the ratios they represent as shown below.

sin x = O/H

cos x = A/H

tan x  = O/A

where O stands for opposite, A for adjacent, and H for hypotenuse. So, for example, the sine of x is equal to the side opposite of angle x over the hypotenuse. The same goes for cosine and tangent. Using the diagram attached, we have the expressions of the trigonometric functions as shown below.

sin x = f/d

cos x = e/d

tan x = f/e

Step-by-step explanation:

The trigonometric ratio's as per given side length of a triangle are as follow,

cosx = f/e , sinx = d/e , and tanx = d/f.

Let us consider triangle name as ABC,

Measure of angle ABC = x degree

Measure of angle BAC = 90 degree

Side length AB = f

Side length AC = d

Side length BC = e

For angle x ,

AC is the opposite side , AB is the adjacent side, and BC is the hypotenuse.

cosx = adjacent side / hypotenuse

       = f / e

sinx = opposite side / hypotenuse

       = d / e

tanx  = opposite side / adjacent side

       = d / f

Therefore, the value of the trigonometric ratio for the given side length of a triangle are cosx = f/e , sinx = d/e , and tanx = d/f.

learn more about triangle here

brainly.com/question/29122914

#SPJ2

Answer:

B. 2w^2 + 2w + 36

Step-by-step explanation:

The equation to find the perimeter of anything is: Length + Length + Width + Width = Perimeter.

Applying this logic to this problem, the equation would be as follows:

[tex]w^{2} + 13 + w^{2} + 13 + w+5+w+5[/tex]

Then, we simplify. The like terms go together, and you have your solution.

[tex]2w^{2} + 2w+36[/tex]

Answer:

.........................

Answer:

x   -   h(x)

0   -   1

1    -   3

2   -   5

3   -   7

Step-by-step explanation:

Just substitute the x value into the function

Answer:

El pasajero recorrió 15 kilómetros.

Step-by-step explanation:

Dado que se sabe que el precio a pagar por un viaje en taxi incluye una parte fija, que se denomina bajada de bandera, y una parte variable, que es función de la distancia recorrida, si el precio de la bajada de bandera es de R $ 4,60 y el kilómetro recorrido es de R $ 0,96, para determinar cuál es la distancia recorrida por un pasajero que pagó R $ 19,00 se debe realizar el siguiente cálculo:

Costo total = (0.96 x cantidad de km recorridos) + 4.60

19 = 0.96X + 4.60

19 - 4.60 = 0.96X

14.4 = 0.96X

14.4 / 0.96 = X

15 = X

Por lo tanto, el pasajero recorrió 15 kilómetros.

Answer:

0.3 if you typed the calculating correctly.

because then all operations are of the same priority and ranking, and we go simply from left to right :

0.5/0.5 = 1

and then there is 1 × 0.3 = 0.3

but if you missed to write any brackets like for

0.5/(0.5 × 0.3)

then this goes differently, because now 0.3 is in the bottom part of the division/quotient.

we can still shorten the expression, as the 0.5 on top and on the bottom eliminate each other to 1. but it leaves us with

1/0.3

now, what is 0.3 ?

it is actually 3/10.

so, we have 1/(3/10) which is the same as

(1/1) / (3/10)

to solve this, the two inner numbers of the quotient multiply and the two outer numbers multiply giving us

(1×10) / (1×3) = 10 / 3 = 3.33333...

so, please pick the solution that best fits your actual question.

Answer:767

Step-by-step explanation:

Answer:

here u go

Step-by-step explanation:

binomial

Answer:

2 * x^10 * y^12

Step-by-step explanation:

when dividing by exponents with the same base, you subtract the exponent.

Answer:

true

Step-by-step explanation:

AUB=A+B-(A∩B)

geckos sundry cheri suffering augusto

Answer;

B3 = 72°

C3 = 84°

Solution

B3: x = 180° - 55° - [ 180° - 127° ] = 127°- 55° = 72°

C3: x = 180° - 133°+ [ 180°-143° ] = 47°+37°= 84°

feedback

hope it helps you. thank you.

Answer:

x = sqrt(33)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

4^2 + x^2 = 7^2

16 + x^2 = 49

Subtract 16 from each side

x^2 = 49-16

x^2 = 33

Take the square root of each side

sqrt(x^2) = sqrt(33)

x = sqrt(33)

[tex]\quad\quad\quad \boxed{ \tt{\color{blue}{c}^{2} = {a}^{2} + {b}^{2} }}[/tex]

[tex]\quad\quad\quad \boxed{ \tt{\color{blue}{a} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]

[tex]\quad\quad\quad \boxed{ \tt{\color{black}{a} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]

[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]

[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {7}^{2} - {4}^{2} \: \: } }}[/tex]

[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {49} - {16} \: \: } }}[/tex]

[tex]\quad\quad\quad \boxed{ \tt \color{black}{{x} = \sqrt{ 33} }}[/tex]

[tex]\quad\quad\quad \boxed{ \tt \color{green}{{x} = \sqrt{ 33} }}[/tex]

_________

#LetsStudy

Answer: [tex]\frac{700}{y} =\frac{18}{100}[/tex]

Step-by-step explanation: 18% is a fraction [tex]\frac{18}{100}[/tex]

In this case since 700 18% of the budget we can do the same thing with the budget being valued as y.[tex]\frac{700}{y}[/tex]