1750 litres of petrol is required to fill the tanks of 50 cars. If 1960 litres of petrol is available, how many more cars can be filled?

Answer:

graph 1  

Step-by-step explanation:

Graph using table of values

x           y

2       -2/3

1         -4/3

0          -2

they are all on that graph

The graph represents a line with a slope of -2/3 and a y-intercept equal to that of the line y = 2/3x – 2 is A coordinate plane with a line passing through (negative 3, 0) and (0, negative 2).

The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx.

Using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.

According to the question

Represents a line with a slope of -2/3  

i.e ,

m = -2/3  

y-intercept equal to that of the line

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

i.e ,

at y-intercept , x = 0

y = -2

Now, Putting value in standard form of line

y = mx + c

-2 = 0 + c  

c = -2

now , substituting the values of m and c in standard form of line

y = mx + c  

y =  [tex]\frac{-2}{3}x-2[/tex] --------- (equation of graph )

Now ,

x             y

0            -2

3/2         1

3             0

Only option 4 have these points

Hence, The graph represents a line with a slope of -2/3 and a y-intercept equal to that of the line y = 2/3x – 2 is A coordinate plane with a line passing through (negative 3, 0) and (0, negative 2).

To know more about slope and intercepts here:

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Step-by-step explanation:

a. 8,435 is divisible by 5

b. 981 is divisible by 3 and 9

Answer:

39.25

Step-by-step explanation:

the formula is a = (3.14 × [tex]r^{2}[/tex]) / 2

the equation is a = (3.14 ×[tex]5^{2}[/tex]) / 2

5 is the radius

1. [tex]5^{2}[/tex] = 25

2. 3.14 × 25 = 78.5

3. 78.5 / 2 = 39.25

I hope this helped! :)

Answer:

12.5π or 39.25

Step-by-step explanation:

10 is diameter, we first find the radius which is 10/2 = 5 and so we know the area formula of the circle is πr^2 so 5^2 is 25 and then there's a π at the end so 25π, but it's a semicircle so 25π/2 which is 12.5π, if it's in base 10 (decimal form) then simply do 12.5 x 3.14 = 39.25

Answer:

No solution

Step-by-step explanation:

Parallel lines

Answer:

no solution

Step-by-step explanation:

easy way to remember parallel lines don’t touch.....no solution ever

Answer:

a) 15

b) 25

c) p = 15w + 25, where p is puppets and w is weeks

Step-by-step explanation:

a) Gepetto makes 15 puppets a week, so as the weeks increase by 1, puppets increases by 15, making the slope 15

b) Gepetto started out with 25 puppets. This means that when x = 0 (0 weeks), there will be 25 puppets already

c) The slope and y-intercept were incorporated into an equation in slope-intercept form.

Step-by-step explanation:

Hey there!

Here;

Given is; angle AEB = 88°

angle AEB + angle AED = 180° { being linear pair}

88° + angle AED = 180°

angle AED = 180° - 88°

Therefore, angle AED = 92°

Therefore, answer is Option C.

Hope it helps...

Answer:

21- 2.50 = 18.50

he can only buy 3, 5 10 15. he can buy 9.

Given:

x gets  larger and larger in the negative direction.

To find:

The polynomial function which gets larger and larger in the negative direction.

Solution:

In options a, c and d, degree of polynomials are even and leading coefficient is positive. So,

[tex]f(x)\to \infty\text{ as }x\to -\infty[/tex]

In option b, degree of polynomial is odd and leading coefficient is positive. So,

[tex]f(x)\to -\infty\text{ as }x\to -\infty[/tex]

Therefore, the function in option b, [tex]f(x)=6x^3+4x^2-15x+32[/tex] gets larger and larger in the negative direction as x gets  larger and larger in the negative direction.

Hence, the correct option is b.

We want to see which polynomial function gets larger and larger as the variable increases in the negative direction. We will see that the correct option is d: f(x) = 8x^6 + 1

Here you need to remember two things.

As the larger the exponent is, the faster the polynomial grows.

When we evaluate a negative number in an even exponent, the outcome is always positive.

Then the polynomials that get larger and larger as x increases in the negative direction are all the polynomials with a even leading exponent, particularly, the one that increases faster is the one with the largest leading exponent, which is:

d. f(x) = 8x^6 + 1

If you want to learn more, you can read:

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Answer:

Step-by-step explanation:

i believe it would be A...

y = a(x - h)² + k   is the vertex form of an equation of a parabola with vertex (h,k)

We get the coordinates of the vertex of parabola from that form: (h, k)

We also know if the parabola goes up or down: a>0 or a<0

We can tell how many roots has the equation:

(a>0 and q>0) or (a<0 and q<0) ⇒ no roots

a≠0 and q=0  ⇒  one root:  x₀=p

(a>0 and q<0) or (a<0 and q>0) ⇒ two roots

We can also determine the roots (if they exist):

a(x - h)² + k = 0

a(x - h)² = - k

(x - h)² = - k/a

x - h = √[-k/a]     ∨   x - h = - √[-k/a]  

x = √[-k/a] + h     ∨   x = - √[-k/a] + h

Usually you use this form to find the equation of parabola when you have got given the vertex and some other point from that parabola.

Answer:

1. C) 0.009

2. B) 8/15

3. C) 111

4. D) 1/5

5. B) 6/7

6. A) 6/11

Hope this helps and have a nice day.

Answer:  y = 3/2x + 1

Step-by-step explanation:  For a perpendicular line, take the reciprocal of  "m"  and reverse the sign.

- 2/3 becomes +3/2

Then substitute the y and x values of the given coordinate into the equation and solve for "b"

y = mx + b

-2 = 3/2(-2) + b

-2 = -3 + b

-2 +3 = b

+1 = b   Substitute for b in y = (3/2)x + 1

Answer:

What is the starting temp?

Step-by-step explanation:

Answer:

The equality is not true.

Step-by-step explanation:

[tex](4^2 +24) = |(3 - 7) - 16|[/tex]

[tex](16 +24) = |(3 - 7) - 16|[/tex]

[tex]40 = |(3 - 7) - 16|[/tex]

[tex]40 = |(- 4) - 16|[/tex]

[tex]40 = |-20|[/tex]

[tex]40 = 20[/tex]

But

[tex]40 \neq 20[/tex]

Answer:

hujikmnjhu

Step-by-step explanation:

egyiru9epojgtur9iokejrue

Answer:

Step-by-step explanation:

Given the rate at which the car elevation decreases expressed by the function

E(x) = -150x+13,500 where x is in minutes.

To evaluate E(5), we will substitute the variable x = 5 into the function as shown;

E(5) = -150(5)+13,500.

E(5) = -750+13,500.

E(5) = 13500-750

E(5) = 12750

This means that after 5minutes, the car elevation has decreased by 12,750feet

Answer:

integer and rational

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

start by using system of equations

x = cola

y = root beer

x + y = 30

x = 2y

now either use substitution or elimination. for me, substitution is easier.

the second equation already has one variable isolated ( x ) so, plug that into the first equation.

2y + y = 30

y = 10

now plug your answer into the original equation.

x + 10 = 30

x = 20

hope this helps :)

Answer/Step-by-step explanation:

An easy way to be sure two lines are perpendicular is if the product of both slopes equals -1.

That is: [tex] (m_1)(m_2) = -1 [/tex]. Where, m1 and m2 are slopes of both lines respectively.

Let's find the slope of the both lines.

Slope of the line that slants upward from left to right using coordinates (0, 0) and (2, 2) of two points on the line:

[tex] m_1 = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 0}{2 - 0} = \frac{2}{2} [/tex]

[tex] m_1 = 1 [/tex]

Slope of the line that slants downwards from left to right using coordinates (2, 2) and (0, 4) of two points on the line:

[tex] m_2 = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 2}{0 - 2} = \frac{2}{-2} [/tex]

[tex] m_2 = -1 [/tex]

Find the product of both slopes

[tex] (m_1)(m_2) = (1)(-1) = -1 [/tex]

Therefore, we know the lines are perpendicular because [tex] (m_1)(m_2) = -1 [/tex].

Answer:

a

Step-by-step explanation:

proportional relationship start from the origin (0,0)

they also have a line that goes upwards in an even relationship

they also can make points

follows the slope

Answer:

Step-by-step explanation:

Let the unknown number be x

[tex]75 \% \times x = 240 \\ \frac{75x}{100} = 240[/tex]

Cross Multiply

[tex]75x \times 1 = 100 \times 240 \\ 75x = 24000[/tex]

Divide both sides of the equation by 75

[tex] \frac{75x}{75} = \frac{24000}{75} [/tex]

Simplify

[tex]x = 320[/tex]

Answer:

320

Step-by-step explanation:

you would do [tex]\frac{75}{100}[/tex]*x=240

then you would multiply both sides by 100 and then divide both sides by 75 which woud give you x=240*[tex]\frac{100}{75}[/tex]

which would give you [tex]\frac{24000}{75}[/tex]=x

which then simplifies down to 320

Answer:

a. the measure of angle A is 113 degrees

the measure of angle B is 67 degrees

Step-by-step explanation:

Remember, linear pairs have a sum of 180 degrees when added. So, if you add your angle measures and set it equal to 180, then you just need to solve from there.

7x-13+3x+13=180

combine like terms

(7x+3x)+(-13+13)=180

10x+0=180

10x=180

divide both sides by 10 to isolate x

x=18

now that you have x, plug it into your angle measures

m<a: 7(18)-13

126-13

113

m<b: 3(18)-13

54+13

67

Answer and explanation:

To determine number if DVDs that can be bought for $20, we simply check price per DVD then calculate how many $20 can buy

Number of DVDs that can be rented for no more than $20

=$20 divided by cost of each DVD $3.50

=20/3.50

=5.714

=5 DVDs

We round down because 0.714 DVD does not qualify as one DVD

1. (1.) -24, (2.) 6, (3.) -3

2. Positive

3. Difference = Subtraction

Product = Multiplication

Quotient = Division

Answer:

t=1.06x+10 where x=The amount of tickets bought

Step-by-step explanation:

you multiply x by 1.06 to add the extra tax onto it.

You add the 10 to add the $10 booking fee

Answer:

A. 10 times

Step-by-step explanation:

Answer:

A. Ten times.

Step-by-step explanation:

If it was one place to the right, it would have been one-tenth, so that's gone. If it was moved twice in place of either direction, it would be hundredths, so those are also eliminated. So, It's 10 times.