How far can a car travel on 1 gallon of gasoline?

Answer:

(x,y)=(-1,1)

Step-by-step explanation:

Given that,

3x + 5y = 2   .....(1)

6x - 10y = -16  ....(2)

Finding the value of x from equation (1).

[tex]x=\dfrac{2-5y}{3}[/tex]

Put the value of x in equation (2)

[tex]6(\dfrac{2-5y}{3}) - 10y = -16\\\\2(2-5y)-10y=-16\\\\4-10y-10y=-16\\\\-20y=-16-4\\\\y=1[/tex]

Put the value of y in equation (1) :

[tex]3x + 5(1) = 2\\\\3x=2-5\\\\3x=-3\\\\x=-1[/tex]

So, the solution of the equations is (-1,1).

Answer:

See answers below (and image for functions)

Step-by-step explanation:

g(x) = (3)^5x is a horizontal compression

h(x) = 4(3)^x is a vertical stretch since |a|>1

p(x) = 1/2(3)^x is a vertical compression since 0<|a|<1

w(x) = 3^0.2x is a horizontal stretch

Answer:

count da squares first then triangles 12:6

Answer:

2:1

Step-by-step explanation:

12:6 simplfies to 2:1

Answer:

answer: B

Step-by-step explanation:

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

[tex]As\ we\ are\ given\ that\ l\ \parallel m\ \parallel n,\\We\ can\ tell\ that\ l \parallel n\\As\ we\ know\ that\ if\ two\ lines\ are\ parallel, then\ the\ pair\ of\ corresponding\ angles\\formed\ are\ equal.\\Hence,\\As\ (8x-17)\ and\ (4x+11)\ are\ corresponding,\ they\ are\ equal.\\Hence,\\8x-17=4x+11\\8x-4x=11+17\\4x=28\\x=28/4\\[/tex]

[tex]x=7[/tex]

Answer:

0.214 kg

Step-by-step explanation:

Answer:

10.5 Inches of snow after 6 hours

Step-by-step explanation:

First you would divide

7/4=1.75

Then you would multiply by 6

1.75*6=10.5

10.5 inches of snow would be the total

Hope this helped! :D

The amount of snowfall in 6 hours, if the amount of snowfall is directly proportional to the time, is 10.5 inches.

In general, the term "proportion" refers to a part, share, or amount that is compared to a whole. According to the definition of proportion, two ratios are in proportion when they are equal.

Given:

In a winter storm, the amount of snowfall is directly proportional to the time,

After 4 hours, a total of 7 inches of snow had fallen,

Calculate the amount of snowfall in one hour as shown below,

amount of snowfall in one hour  =  7 / 4

Calculate the amount of snowfall that occurs in 6 hours,

Amount of snowfall in 6 hours  =  7 / 4 × 6

Amount of snowfall in 6 hours  =  10.5 inches

To know more about proportion:

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Answer:

[tex]75^{\circ}\text{F}[/tex]

Step-by-step explanation:

Last Wednesday it was 90 degrees Fahrenheit.

Today it is 15 degrees Fahrenheit colder than it was last Wednesday.

So, today's temperature will be the difference of the temperatures of last Wednesday's and today's temperature. We have to find the difference as it is colder today means it is a lower temperature than last Wednesday's.

[tex]90-15=75^{\circ}\text{F}[/tex]

Today's temperature is [tex]75^{\circ}\text{F}[/tex]

Answer:

12427

Step-by-step explanation:

Answer:

12,427

Step-by-step explanation:

Answer: It's C.

Step-by-step explanation:

Answer:

1.87500

Step-by-step explanation:

Answer:

Cost = Rs. 6095.95

Step-by-step explanation:

We are given the perimeter as 440m.

Mow,perimeter of a circle is also called circumference.

Formula for circumference of a circle is;

C = 2πR

Thus:

2πR = 440

R = 440/2π

R = 70 m

We are told that A path 1.4m runs inside the park. Thus radius of smaller circle: r = 70 - 1.4 = 68.6 m

Area of larger circle: A1 = πR² = π(70²)

A1 = 4900π

Area of smaller circle: A2 = πr² = π(68.6²)

A2 = 4705.96π

Area of path = A1 - A2

Area of path = 4900π - 4705.96π

Area of path = 194.04π Sq.m

We want to find the cost of gravelling the path at the rate of Rs.100 per square meter.

Thus;

Cost = 100 × 194.04π

Cost = Rs. 6095.95

Step-by-step explanation:

because we can also find out the value of x in second equation like this

3x=21

x=21/3

x=7

Answer:

We conclude that x = 7 must be true for the second equation because it will also satisfy the second equation.

Step-by-step explanation:

Given the first equation

solving the equation

3x-5 = 16

adding 5 to both sides

3x-5+5 = 16+5

3x = 21        ∵ 3x = 21 is the 2nd equation      

divide bothe sides by 3

3x/3 = 21/3

x = 7

Please notice that when simplifying 3x-5 = 16, the moment we reach 3x=21, we can determine that it represents the same equation.

In other words, whatever the value of x we will get, it will satisfy both equations.

Therefore, we conclude that x = 7 must be true for the second equation because it will also satisfy the second equation.

Verification:

Consider the 2nd equation

3x = 21

Put x = 7

3(7) = 21

21 = 21

Thus, it has been validated that when we conclude that x = 7 must be true for the second equation because it will also satisfy the second equation.

Answer:

b on edge, 16.3

Step-by-step explanation:

trust

The angle between the two given vectors is 16.26°

Here we have the vectors u = (3, 4) and y = (4, 3).

We know that:

u*y = |u|*|y|*cos(θ)

Then:

u*y = 3*4 + 4*3 = 24

And:

|u| = √(3^2 + 4^2) = √25 = 5 = |y|

Then we have:

24 = 5*5*cos(θ)

24/25 = cos(θ)

To find theta, we apply the inverse cosine function in both sides:

Acos(24/25) = θ = 16.26°

If you want to learn more about vectors:

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Answer:

remainder is 4x^2+7x-10-  22/x-1

Step-by-step explanation:

Answer:

y=21x+5

Step-by-step explanation:

Part (a)

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

Work Shown:

[tex]3\left(\frac{x}{7}+2\right) = 6\\\\\frac{x}{7}+2 = \frac{6}{3}\\\\\frac{x}{7}+2 = 2\\\\\frac{x}{7} = 2-2\\\\\frac{x}{7} = 0\\\\x = 7*0\\\\x = 0\\\\[/tex]

In step 2, I divided both sides by 3. In step 4, I subtracted 2 from both sides. In step 6, I multiplied both sides by 7.

================================================

Part (b)

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

Work Shown:

[tex]2\left(\frac{5x}{3}-1\right) = 8\\\\\frac{5x}{3}-1 = \frac{8}{2}\\\\\frac{5x}{3}-1 = 4\\\\\frac{5x}{3} = 4+1\\\\\frac{5x}{3} = 5\\\\5x = 3*5\\\\5x = 15\\\\x = \frac{15}{5}\\\\x = 3\\\\[/tex]

The steps are fairly similar to part (a). The steps were

Answer:

y=3-2x

any more help just ask :)

Answer:

The height of the mother is 147.25cm

Step-by-step explanation:

The height of the new-born panda is 15.5 centimeters.

Let the height of the mother be = x

We know from the problem that the mother is 9.5 times taller than the baby.

We can get the height of the mother by multiplying the height of the baby by 9.5.

i.e x = 9.5 X 15.5 = 147.25cm

Answer:

k=5

Step-by-step explanation:

for every one unit on the x, the y goes up five. So, the ratio is 5:1 or five.

Answer:

You would need to shade in 10 pieces out of 12.

Step-by-step explanation:

10 out of 12 shaded pieces is usually the equivalence 5/6 when it is divided by 2.

Answer:

2. The oil company wants to transport 27L/min of oil through the pipes. Find the maximum

flow of oil that can flow through the pipes (per minute) to show that this demand cannot

be met. Clearly explain how you have found the maximum flow.

D

2

A

10

4

5

8

F

6

с

17

12

B.

12

G

E

Given:

The function is

[tex]f(x)=(x+3)^2(x-5)^6[/tex]

To find:

The zeros of the given function.

Solution:

The general form of polynomial is

[tex]P(x)=a(x-c_1)^{m_1}(x-c_2)^{m_2}...(x-c_n)^{m_n}[/tex]       ...(i)

where, a is a constant, [tex]c_1,c_2,...,c_n[/tex] are zeros of respective multiplicities [tex]m_1,m_2,...,m_n[/tex].

We have,

[tex]f(x)=(x+3)^2(x-5)^6[/tex]

On comparing this with (i), we get

[tex]c_1=-3,m_1=2[/tex]

[tex]c_2=5,m_2=6[/tex]

It means, -3 is a zero with multiplicity 2 and 5 is a zero with multiplicity 6.

Therefore, the correct option is B.

Answer:

10.75 tiles per square meter

Step-by-step explanation:

Here, we want to get the constant of proportionality

From the question, we are told that every square meter needs 10.75 tiles

The constant of proportionality in this case is thus;

10.75 tiles per square meter

Step-by-step explanation:

We can estimate 320/11 by using 320/10, which is 32.

Making it divide by 10 is easier as compared to 11.

Step-by-step explanation:

well I don't know what the answer choices are but here's some information that could help.

all of the angles in a triangle have to add up to 180°

and isosceles triangles have at least two sides that are congruent. This also means that at least two angles have to be congruent

based on this there could be two angles that measure 50° and the last angle would measure 80°

or one angle could measure 50° and the other two angles each measure 65 degrees

just ask if you need more information

Answer:

b

Step-by-step explanation:

Answer:

b

Step-by-step explanation: