if a car covers 82.5 km in 5.5L of gas, how much distance will it cover in 13.2L of gas?

Answer:

x = 54.6 m

Step-by-step explanation:

Δ MAB and Δ MNP are similar, then corresponding sides are in proportion, that is

[tex]\frac{MA}{MN}[/tex] = [tex]\frac{MB}{MP}[/tex] , substitute values

[tex]\frac{80.5-35}{80.5}[/tex] = [tex]\frac{x}{96.6}[/tex]

[tex]\frac{45.5}{80.5}[/tex] = [tex]\frac{x}{96.6}[/tex] ( cross- multiply )

80.5x = 4395.3 ( divide both sides by 80.5 )

x = 54.6

Answer:

Answer:

Answer:x = 25°

Answer:x = 25°Step-by-step explanation:

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )135 - x = 110 ( subtract 135 from both sides )

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )135 - x = 110 ( subtract 135 from both sides )- x = - 25 ( multiply both sides by - 1 )

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )135 - x = 110 ( subtract 135 from both sides )- x = - 25 ( multiply both sides by - 1 )x = 25°

Hence the answer is 25.

Answer:

Sally is currently 4 years old.

Step-by-step explanation:

Kaden is 18 years older than Sally now. In 5 years, Kaden will be 3 times as old as Sally. How old is Sally now?

Let Kaden's current age be [tex]k[/tex] and Sally's current age be [tex]s[/tex]. We can write the following algebraic equation using the fact that Kaden is currently 18 years older than Sally:

[tex]k=s+18[/tex]

Next, we will use the fact that in 5 years, Kaden will be 3 times as old as Sally. If Kaden and Sally's current ages are [tex]k[/tex] and [tex]s[/tex] respectively, then their ages in 5 years will be [tex]k+5[/tex] and [tex]s+5[/tex] respectively. Therefore, we have:

[tex]k+5=3(s+5)[/tex]

We have two equations with two variables. To solve for either variable, we need to create an equation with only one variable. Therefore, let's substitute the first equation into the second:

[tex](s+18)+5=3(s+5)[/tex]

Distribute and combine like terms:

[tex]s+18+5=3s+15,\\s+23=3s+15[/tex]

Subtract [tex]s[/tex] from both sides, then subtract 15 from both sides:

[tex]8=2s[/tex]

Divide both sides by 2:

[tex]s=\frac{8}{2}=\boxed{4}[/tex]

Therefore, Sally is currently 4 years old.

Answer:

Sally is 4 years old now.

Step-by-step explanation:

Let Sally's age = x

Kaden's age = x + 18

In 5 years, they are both 5 years older than now.

Sally will be x + 5

Kaden will be x + 18 + 5 = x + 23

"In 5 years, Kaden will be 3 times as old as Sally."

x + 23 = 3(x + 5)

x + 23 = 3x + 15

-2x = -8

x = 4

Answer: Sally is 4 years old now.

Answer:

f(x) / g(x) = (3x+2)/ (3x+5) x ≠-5/3

Step-by-step explanation:

f(x) = 3x + 2

g(x) = 3x - 5

f(x) / g(x) = (3x+2)/ (3x+5)

The denominator cannot equal zero

3x+5 ≠0

3x≠-5

x ≠-5/3

[tex]\\ \sf\longmapsto -\sqrt{64}[/tex]

[tex]\\ \sf\longmapsto -\sqrt{8\times 8}[/tex]

[tex]\\ \sf\longmapsto -\sqrt{8^2}[/tex]

[tex]\\ \sf\longmapsto 8i[/tex]

It belongs to set of complex numbers

Answer:

M = sin ^-1 (5/11)

M = 27 degrees

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin M = 5/11

Taking the inverse sin of each side

sin ^-1 sin M = sin ^-1 (5/11)

M = sin ^-1 (5/11)

M=27.03569

To the nearest degree

M = 27

Answer:

3:25 pm

Step-by-step explanation:

How much time do they need for tours

Empire State Building : 1 hour 10 minutes

Central Park                   2 hour 50 minutes

Times Square                1 hour

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

                                      4 hours 60 minutes

but 60 minutes = 1 hour  so subtract 60 minutes and add 1 hour

4 hours 60 minutes

+1        -60

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

5 hours

They need 5 hours for the tours

We have to be at dinner at 8:25 so we need to start 5 hours earlier

8:25

- 5

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

3:25

We can start no later than 3:25 pm

Answer:

3.25

Step-by-step explanation:

First convert into minutes

1 hour = 60 minutes

Empire state building:

60 + 10 = 70

Central park:

60 + 60 + 50 = 170

Times square:

60

Now add all minutes together.

70 + 170 + 60 = 300 minutes.

Convert into hours:

300 / 60 = 5 hours.

8 - 5 = 3

So, Gabby's family can start their tour at 3:25 at most to get to dinner on time.

Hope this helped.

Answer:

He ate 1/12 of the pizza

Step-by-step explanation:

Divide the pizza by 4 to get the share each friend got

1/4

Then Binli ate 1/3 of his share

1/4 * 1/3 = 1/12

He ate 1/12 of the pizza

False because 5 is associated with two values.

To be a function, the domain can only map to one range value, but in this case, 5 is mapped to two values, 1 and 3.

Answer:

B  -150.

Step-by-step explanation:

The minimum value of a sine is -1

So the answer is 15 * - 1 = -150.

Answer:

-150

Step-by-step explanation:

F(x)=150•sin(3•x)

The minimum that sin takes is negative 1

so 150(-1) = -150

The minimum of f(x)  is -150

Answer:

C. -2(-2)

Step-by-step explanation:

A. -2(-1/5) = 1

B. -2(1/2)=1

C. -2(-2)=4

D. -2(2)=-4

Answer:

C

(0,−3)

E

(5,−2)

Step-by-step explanation:

We need to find a point in the shaded region

A

(−4,1)

x = -4 is not in the shaded region

B

(−3,−4)

x = -3 is not in the shaded region

C

(0,−3)

Since the bottom line is solid, this is in the shaded region

D

(0,1)

Since the line is dotted, this is not in the shaded region

E

(5,−2)

This point is in the shaded region

Answer:

Step-by-step explanation:

its right

Answer:

F is reduced by 31%

Step-by-step explanation:

F = 1/(d²)

now, we increase the distance by 20% (multiply by 1.2).

F new = 1/(1.2×d)² = 1/(1.44×d²) = (1/1.44) × (1/(d²)) =

= 1/1.44 × old F = 0.69 × old F

100 - 69 = 31%

Answer:

47°;47°;113°;113°

Step-by-step explanation:

3x+5=61-x

4x=56

X=14

Answer:

x = complement

x + 5.2 = first angle (5.2 more than complement)

measure of two complementary angles add up to 90.

x + x+ 5.2 = 90

2x = 84.8

x = 42.4

other angle = x + 5.2 = 42.4 + 5.2 = 47.6

hope it's help you.....!!!!!

plz mark as brain list...!!!!

plz follow me #Rishu....!!!!!

Step-by-step explanation:

Hope it will help you .

.

.

.

Answer:

23.73pi (rounded to the nearest hundredth)

Step-by-step explanation:

You can find the radius of the half-circle by looking at the triangle. You then calculate the area of a circle with that radius and divide the area by 2. Area of full circle=113.1

113.1/2=56.55. You must now calculate the area of the triangle, (6*6)/2. This gives you 18. Add your areas together, 56.55+18=74.55. Now divide your answer by pi. Then you put it as an equation of 74.55/pi = 23.73pi.

Answer:

126

Step-by-step explanation:

∠S : ∠T = 7:3

∠S = 7x  

∠T = 3x

∠S + ∠T = 180               {Supplementary angles}

7x + 3x = 180

10x = 180

Divide both sides by 10

x = 180/10

x = 18

∠S = 7x = 7*18 = 126°

Answer:

sin²A-5 sinA+6

=sin²A-(3+2)sinA+6

=sin²A-3sinA-2sinA+6

=sinA(SinA-3)-2(sinA-3)

=(sinA-2) (sinA-3)

hope this help you

Answer:

sin²A-5 sinA+6

=sin²A-(3+2)sinA+6

=sin²A-3sinA-2sinA+6

=sinA(SinA-3)-2(sinA-3)

=(sinA-2) (sinA-3)

Answer: Option B 3!((6×5×4)-1)

Step-by-step explanation:

6! - 3!

= (1×2×3×4×5×6) - (1×2×3)

= 720 - 6

= 714

As you told you forgot to put options lemme answer it.

It will be option B

3!((6×5×4)-1)

It will be 6((6×5×4)-1)

= 6(120) -6

= 720 - 6

= 714

please click thanks and mark brainliest if you like :)

[tex]\\ \sf\longmapsto 6!-3![/tex]

[tex]\\ \sf\longmapsto (6\times 5\times 4\times 3\times 2\times 1)-(3\times 2\times 1)[/tex]

[tex]\\ \sf\longmapsto (720)-6[/tex]

[tex]\\ \sf\longmapsto 714[/tex]

Note:-

[tex]\boxed{\sf n!=n\times (n-1)(n-2)\dots}[/tex]

or

[tex]\\ \sf\longmapsto n!=n\times( n-1)![/tex]

Answer:

All whole numbers are rational numbers.

False

All integers are whole numbers.

True

There are integers that are not rational numbers.

True

There are whole numbers that are not integers.

True.

Answer:

300 raisins

Step-by-step explanation:

sum the parts of the ratio, 3 + 27 = 30 parts

Divide the total by 30 for the value of one part of the ratio.

3000 ÷ 30 = 100 ← value of 1 part of the ratio , then

3 parts = 3 × 100 = 300 ← number of raisins in a box

Answer:

Inequality form:

x>1

Interval Notation:

( 1, infinity)

Step-by-step explanation:

which language is right

Treat the matrices on the right side of each equation like you would a constant.

Let 2X + Y = A and 3X - 4Y = B.

Then you can eliminate Y by taking the sum

4A + B = 4 (2X + Y) + (3X - 4Y) = 11X

==>   X = (4A + B)/11

Similarly, you can eliminate X by using

-3A + 2B = -3 (2X + Y) + 2 (3X - 4Y) = -11Y

==>   Y = (3A - 2B)/11

It follows that

[tex]X=\dfrac4{11}\begin{bmatrix}12&-3\\10&22\end{bmatrix}+\dfrac1{11}\begin{bmatrix}7&-10\\-7&11\end{bmatrix} \\\\ X=\dfrac1{11}\left(4\begin{bmatrix}12&-3\\10&22\end{bmatrix}+\begin{bmatrix}7&-10\\-7&11\end{bmatrix}\right) \\\\ X=\dfrac1{11}\left(\begin{bmatrix}48&-12\\40&88\end{bmatrix}+\begin{bmatrix}7&-10\\-7&11\end{bmatrix}\right) \\\\ X=\dfrac1{11}\begin{bmatrix}55&-22\\33&99\end{bmatrix} \\\\ X=\begin{bmatrix}5&-2\\3&9\end{bmatrix}[/tex]

Similarly, you would find

[tex]Y=\begin{bmatrix}2&1\\4&4\end{bmatrix}[/tex]

You can solve the second system in the same fashion. You would end up with

[tex]P=\begin{bmatrix}2&-3\\0&1\end{bmatrix} \text{ and } Q=\begin{bmatrix}1&2\\3&-1\end{bmatrix}[/tex]

Step-by-step explanation:

hence it has been done . check the file .

hope this helped you

any problem then comment it .

[tex]\\ \sf\longmapsto 2(4x-1)+3(3-2x)=0[/tex]

[tex]\\ \sf\longmapsto 8x-2+9-6x=0[/tex]

[tex]\\ \sf\longmapsto 8x-6x-2+9=0[/tex]

[tex]\\ \sf\longmapsto 2x+7=0[/tex]

[tex]\\ \sf\longmapsto 2x=-7[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-7}{2}[/tex]

Answer:

expression is 20. +20...

Answer:

[tex]4\sqrt{3}[/tex]

Step-by-step explanation:

[tex]4\sqrt{3}[/tex] = [tex]\sqrt{6}[/tex] x [tex]\sqrt{8}[/tex]

Answer:

4 root 3 is the answer

Step-by-step explanation:

hope its help

Answer:

3^4 / 8^2 or 81/64

Step-by-step explanation:

(-8)^-2 / 3^-4 =

= 3^4 / (-8)^2

= 3^4 / 8^2

= 81/64

Answer:

Population

Step-by-step explanation:

A.

A population is the entire group that is being studied while a sample is a subset of the population that is being studied.