|a−b| − |c+d| , if a=−5; b=4; c=1; d=−3

Answer:

The price of the regular gasoline is $2.46, while the premium is $2.67.

Step-by-step explanation:

Let the price of regular gasoline be "x", while the price for the premium be "y", The sum of the amount of each type of gas multiplied by its cost should be equal to the total paid, therefore:

[tex]8*x + 8*y = 41.04[/tex]

We also know that the premium gas costs 0.21 more than the regular one, therefore:

[tex]y = x + 0.21[/tex]

We can apply the second expression on the first, in order to solve for "x".

[tex]8*x + 8*(x + 0.21) = 41.04\\8*x + 8*x + 1.68 = 41.04\\16*x = 41.04 - 1.68\\16*x = 39.36\\x = \frac{39.36}{16} = 2.46[/tex]

[tex]y = 2.46 + 0.21 = 2.67[/tex]

The price of the regular gasoline is $2.46, while the premium is $2.67.

Answer:

The answer is 2 different angles, 53° and 127°.

Explanation:

As you subtract 180° from the given angle to find the other angle, you will get only 2 angles either 53° or 127°.

Answer:27/28

1/4+5/7

TakingLCM

7+20/28

27/28

Answer: 27/28

Step-by-step explanation:

1/4 + 5/7

= 7/28 + 20/28

= 27/28

Answer:

B

Step-by-step explanation:

The figure shown is of an isosceles triangle.The triangle is not congruent with any of the faces of the pyramid thus the triangle does not have the same dimension as one of the sides of the pyramid

Answer: B

Step-by-step explanation:

Answer:

The answer the to first image is X=2. The answer to the second image is X=4.

Step-by-step explanation:

Answer:

(1, 0)

Step-by-step explanation:

Please write this as y^2 = 4x; the " ^ " indicates exponentiation.

The appropriate equation for a horizontal parabola that opens to the right is

y^2 = 4px

Here, we are told that  y^2 = 4x; this tells us that 4p = 4, and so p = 1.  

Again, this parabola is a horizontal one and it opens to the right.  p = 1 is the distance of the focus from the vertex, and in this case p = 1.  Thus, the focus is at (1, 0) (situated on the x-axis).

Answer:

(1,0) 2022

Step-by-step explanation:

stop playing wit me

Answer:

C

Step-by-step explanation:

The parent graph of this function is the absolute value, or |x|. However, it is shifted 8 units to the right and 2 units up. Therefore, the equation of this function is y=|x-8|+2, or answer choice C. Hope this helps!

Answer:

When Jeff travels more than 20 miles

Step-by-step explanation:

Let 'x' be the number of miles traveled by Jeff.

In order for the national car company to be less expensive, then the following condition must be met:

[tex]12+0.30x < 10+0.40x\\12-10 < 0.4x-0.3 x\\2 <0.1x\\20<x[/tex]

This means that when Jeff travels more than 20 miles, it is cheaper to rent from the national car company.

Answer:

79%

Step-by-step explanation:

median is the middle no.

arrange the scores in descending order

72,74,76,(78,80),82,92,92

78+80, divide 2= 79%

Answer:

1i) nth term = 12(-b/4)^(n-1)

ii) nth term = 3(-1/9)^(n-1)

2i) Sixth term= (-3b^5)/256

ii) Eight term = -1/1594323

Question:

The complete question as found on brainly (question-10746111):

Write down the nth term of each of the following G.Ps whose first two terms are given as follows. Also find the term stated besides each G.P.

i) 12,-3b,......sixth term

ii) 3,-1/3,..........;8th term?

Step-by-step explanation:

1) To solve terms involving Geometric progressions (GPs), we would first state the variables that are to be incorporated in the formula.

i) 12,-3b,......;sixth term

1st term = a= 12

r = common ratio = 2nd term /1st term

r = -3b/12 = -b/4

Then we would find the nth term

See attachment for details

ii) 3,-1/3,..........;8th term

1st term = a= 3

r = common ratio = 2nd term /1st term

r = (-⅓)/3 = (-⅓)(⅓) = -1/9

Then we would find the nth term

See attachment for details

2) we are to determine the sixth term in (i) and eight term in (ii)

See attachment for details

Sixth term= (-3b^5)/256

Eight term = -1/1594323

Answer:

x=-1 and y=10

Step-by-step explanation:

-3(5x+y=5)

10x+3y=20

-15x-3y=-15

10x+3y=20

10x-15x+3y-3y=20-15

-5x=5

x=-1

5x+y=5

(-1)5+y=5

-5+y=5

y=10

Answer:

12 cm

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We know the diameter is 6 so the radius is d/2 = 6/2 = 3

108 pi = pi (3)^2 h

108 pi = 9pi h

Divide each side by 9pi

108 pi /9pi = 9pi h/9pi

12 = h

Answer:

12cm in height

Step-by-step explanation:

Answer:

4.5 miles

Step-by-step explanation:

On the graph,

We use the distance formula to find the distance between Elm and Oak.

[tex]\text{Distance Formula=}\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\(x_1,y_1)=(-3,-6), (x_2,y_2)=(-1,-2)\\Distance=\sqrt{(-1-(-3))^2+((-2)-(-6))^2} \\=\sqrt{(-1+3)^2+(-2+6)^2} \\=\sqrt{2^2+4^2}\\=\sqrt{20}$ Units \\ Distance =4.5 mile (to the nearest tenth of a mile.)[/tex]

Answer:

23

Step-by-step explanation:

j = jeans

s = shirt

j + 3s = 114

jeans = 45

45+ 3s = 114

Subtract 45 from each side

45-45+3s = 114-45

3s =69

Divide each side by 3

3s/3 =69/3

s = 23

Each shirt is 23

Answer:

b.) 23

Step-by-step explanation:

114-45=69

69/3=23

As indicated on the number line 1/3 is the same as 2/6 so we get

Answer: 2/6 + 5/6 = 7/6

Answer:

the correct answer is D

Answer:

Step-by-step explanation:

We can use combinations

20 choose 4:

20!/(16!*4!)

= (20*19*18*17)/4!

= 4845

Answer:

D

Step-by-step explanation:

The point slope form of a line is y-h=m(x-k), where h is the y coordinate of the point, k is the x coordinate, and m is the slope. Therefore, a line with the equation given will have a slope of 3 and go through the point (1,4). The only graph here that matches that is graph D, meaning that it is the answer. Hope this helps!

Answer:

D is the answer

Step-by-step explanation:

Answer:

The percentage change is -21%

Step-by-step explanation:

The percentage change can be expressed by the formula;

(new price -old price)/old price * 100%

New price = £150

old price = £189

Inputing these values in the formula, we have;

(150-189)/189 * 100%

-39/189 * 100%

= -20.63% and that is approximately -21%

Answer:

B you need to plug it in the calculator

The approximate value of tan C is 0.38 (Option D).

To find the approximate value of tangent (tan) of angle C, we can use the given side lengths of the right-angled triangle ABC:

Hypotenuse (c) = 13.93

Base (b) = 13

Height (a) = 5

The tangent of angle C is defined as the ratio of the height (a) to the base (b):

tan C = a / b

tan C = 5 / 13

Now, let's calculate the approximate value of tan C:

tan C ≈ 0.3846

Among the given options (0.36, 0.93, 2.6, 0.38), the closest approximation to the value of tan C is option D: 0.38.

Therefore, the approximate value of tan C is 0.38.

To know more about tan, refer here:

https://brainly.com/question/12754887

#SPJ2

Complete Question:

What is the approximate value of tan C?

Answer:

a = -4,000m + 39,000

Step-by-step explanation:

Answer:

most probably A part 1 by 12 . and i think it's also . d part 1 by 3

Answer:

B and D

Step-by-step explanation:

Age of Student --> Age of student is continues

Time taken to run one mile is also continues

Answer:

B and D

Step-by-step explanation:

Reasoning:

'a' is less than 0, so we write a < 0

Since a < 0, this means a^4 > 0. Raising a negative to an even exponent will make the result positive. Example: (-2)^4 = 16

Applying the cube root to some positive number leads to some other positive number.

So far we see that the expression    a^(4/3)   is positive

The final result however is negative because the negative out front flips things from positive to negative.

It turns out it doesn't matter if 'a' is positive or negative. As long as 'a' is nonzero, then   -a^(4/3)   is negative. If a = 0, then the whole thing is 0.

[tex]answer \\ = 15.01 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]

Answer:

1.2Litres

Question:

Wes mixed different juices to make fruit punch. He filled one-half of the punch bowl with orange juice. Then he filled half of the remaining space with grape juice. Finally, he filled the rest of the punch bowl with 300 mL300\text{ mL}300 mL300, space, m, L of cherry juice. How many liters of fruit punch did Wes make?

Step-by-step explanation:

Let the total punch bowl be = P

Portion of Orange juice = ½ of total punch bowl

= ½ × P = P/2

Portion of grape = ½ of the remaining space

Remaining space = P - P/2 = P/2

Portion of grape = ½ × P/2 = P/4

The rest of the punch bowl is for cherry = 300mL

P/2 - P/4 = 300

(2P - P)/4 = 300

P/4 = 300

P = 300×4

P = 1200mL

1mL = 10^(-3)L

P = 1.2 ×10³ × 10^(-3)L

P = 1.2L

Wes made 1.2liters of fruit punch.

Answer:

(-2, -3)

Step-by-step explanation:

The middle of the point. It covers two blocks so find the middle.

Or you can use the midpoint formula

[tex](x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

(-2,-3)  because it is in the middle of the line segment, between the two marked points

Answer : The equivalent expression of the given expression is 1.

Step-by-step explanation :

According to the BODMAS rule, when the expression contains brackets open ((), {}, []) we have to first simplify the bracket followed by of (powers and roots etc.) and then we have to solve the division, multiplication, addition and subtraction from left to right order (respectively).

The given expression is:

(11²)⁴ ÷ 11⁸

First we have to solve bracket.

= (11)⁸ ÷ 11⁸

By dividing this expression, we get:

= 1

Therefore, the equivalent expression of the given expression is 1.

Answer: if this is what you wanted ,I think that n=0 and /or n= -18

Step-by-step explanation:

In an equation equal to 0 you can say that if it is a product like that : A x B =0 so A or / and B can be equal to 0 so you have to search when A=0 and when B=0 separately then you know when n is equal to 0 so the values of n . I’m sorry if it is not what you needed as an answer.