Every summer I drive to San Diego. It is 700 km to get there. If I average 100 km/hr, how much time will I spend driving?

Answer:

Step-by-step explanation:

One clue about where to start is this: the sentence describes the length by referring to the width. "The LENGTH is blah, blah, blah, the WIDTH. When that happens, choose a variable to represent the width (the quantity being referred to).

Width = w

Length IS three more than (added to) 4 times (multiplied by) the width

Length = 4w + 3

Area of a rectangle is the width multiplied by the length.

Equation: w(4w + 3) = 24

Solve.

Multiply out the left side.

4w^2 + 3w = 24

Subtract 24.

4w^2 + 3w -24 =0

This equation does not factor. Use the Quadratic Formula. One of the solutions is a negative number, so that should be rejected (width can't be a negative number).

[tex]w=\frac{-3+\sqrt{393}}{8}[/tex]

Substitute this into the expression 4w + 3 to find the length. A calculator can give you decimals for both dimensions.

Answer:

B

Step-by-step explanation:

Answer:

The answer is C. ✋✋✋✋✋

Answer:

12

Step-by-step explanation:

Answer:

9 kids tickets

Step-by-step explanation:

Let k = no. of kid's tickets

12 - k = no. of adult's tickets

9.50(12 - k) + 6.50k = 87

95(12 - k + 65k = 870

1140- 95k + 65k = 870

- 30k = -270

k = 9 kids

Answer:

542

Step-by-step explanation:

May the 4th be with you (When it's May 4th lol)

Answer:

104 degrees'

Step-by-step explanation:

Find the diagram attached

According to the theorem;

Angle at the vertex is half the angle at its intercepted arc

Given

Angle at the vertex = 52 degrees

Angle at the intercepted arc = arc QR

Hence;

52 = 1/2 arcQR

Cross multiply

52 * 2 = arcQR

104 = arc QR

Swap

arc QR = 104 degrees'

Answer:

C)104

Step-by-step explanation:

edg 2021

Answer:

C(t) = 0.55t + 7.75, $30.85

Step-by-step explanation:

the fixed cost is $7.75. this is the cost incurred at zero minutes of the taxi ride

the variable cost or the cost per minutes driven =

(13.25 - 7.77) / (10 - 0) = 0.55

total cost = 7.75 + 0.55t

cost of 42 minutes = 7.75 + 0.55(42) = $30.85

w(t) tells you the amount of water w at a given time t.

The inverse function tells you at which time t the tank contains an amount of water w.

To get the inverse function, solve the equation

w = 80 - 2.8t

for t :

w = 80 - 2.8t

2.8t = 80 - w

t = (80 - w) / 2.8

t ≈ 28.57 - 0.357 w

The graph of w(t) is a downward-sloping line. The graph of the inverse is also a downward-sloping line, but its intercept (28.57) and slope (-0.357) are both smaller than the intercept and slope of w(t).

Answer and Step-by-step explanation:

When we take a look at the graph, we can see that at around 1 gallon, which would be halfway between 0 and 2, the line is underneath $5.

That means we can eliminate any number that is or above $5.

That leaves us with answer choices A and C.

Let's go to a point that is easily readable. Point (4, 15) is readable, and we can use this to find the price per gallon.

Divide 15 by 4. We get 3.75 as the result.

This means that the answer choice is:

C. The cost of gas is $3.75 per gallon.

#teamtrees #PAW (Plant And Water)

Answer:

Step-by-step explanation:

See ratios and step changes below

126

Step-by-step explanation:

hdhfgdhdgdhdhrgdgdgdhdgdhdhdh

Answer:

Step-by-step explanation:

Sorry I didn't mean to do that.

Answer:

121.21 people per square mile

Step-by-step explanation:

area = 1/2(12 + 21)(14) = 231 mi²

28,000/231 = 121.21 people per square mile

Answer:

I think it is 38+11i not sure but try it

Answer:

1 meter= 100 cm

432cm/100=4.32 cm

$3.50*4.32=$15.12

the total cost is: $15.12

Step-by-step explanation:

Answer:

15.12

Step-by-step explanation:

Answer:

area is 60.75 m^2

Step-by-step explanation:

Given:

Consider the given function is:

[tex]f(x)=x^2-8x+13[/tex]

To find:

The average rate of change of the function over the interval [tex]-1\leq x\leq 6[/tex].

Solution:

The average rate of change of the function f(x) over the interval [a,b] is:

[tex]m=\dfrac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

We have,

[tex]f(x)=x^2-8x+13[/tex]

At [tex]x=-1[/tex],

[tex]f(-1)=(-1)^2-8(-1)+13[/tex]

[tex]f(-1)=1+8+13[/tex]

[tex]f(-1)=22[/tex]

At [tex]x=6[/tex],

[tex]f(6)=(6)^2-8(6)+13[/tex]

[tex]f(6)=36-48+13[/tex]

[tex]f(6)=1[/tex]

Now, the average rate of change of the function f(x) over the interval [tex]-1\leq x\leq 6[/tex] is:

[tex]m=\dfrac{f(6)-f(-1)}{6-(-1)}[/tex]

[tex]m=\dfrac{1-22}{7}[/tex]

[tex]m=\dfrac{-21}{7}[/tex]

[tex]m=-3[/tex]

Therefore, the average rate of change of the function f(x) over the interval [tex]-1\leq x\leq 6[/tex] is -3.

Answer:

u = 7

Step-by-step explanation:

In a parallelogram, GI = GK so:

u + 28 = 5u

4u = 28

u = 7

Answer:

FV= $70,887.15

Step-by-step explanation:

First, we need to calculate the future value of the $130 deposit for 5 years:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit= $130

i= 0.08/12= 0.0067

n= 5*12= 60 months

FV= {130*[(1.0067^60) - 1]} / 0.0067

FV= $9,561.96

Now, using the following formula, the future value of the investment after 25 years:

FV= PV*(1 + i)^n

n= 25*12= 300

FV= 9,561.96*(1.0067^300)

FV= $70,887.15

Answer:

(1, 6) is the solution

Step-by-step explanation:

-2x + 6y = 34

2x + 2y = 14;     divide by 2

x + y = 7;        subtract x

y = 7 - x

let's substitute y with 7 - x in first equation

-2x + 6*(7 - x) = 34;    expand multiplication

-2x + 6*7 - 6*x = 34;    group

-8x + 42 = 34;         subtract 42

-8x = 34 - 42 = -8;      divide by -8

x = 1

y = 7 - 1 = 6

It is the only solution, as we've arrived at exact numbers.

Answer:

$2.60

Step-by-step explanation:

13.00÷5=2.6

6 is in tens placement

Answer:

A. there must be a vertical asymptote at x=c

Step-by-step explanation:

Answer: A

Step-by-step explanation:

got it right edge 2022

Answer:

the 3rd option

Step-by-step explanation:

Answer:

the correct answer to this is C, have a wonderful day :)

Step-by-step explanation:

Answer:

Acceleration is 0.5 m/s² and the distance covered is 6.25 m.

Step-by-step explanation:

Given that,

Initial speed, u = 0

Final speed, v = 9 km/h = 2.5 m/s

Time, t = 5 seconds

We need to find the acceleration and the displacement covered in that time. Acceleration = rate of change of velocity

So,

[tex]a=\dfrac{v-u}{t}\\\\a=\dfrac{2.5-0}{5}\\\\a=0.5\ m/s^2[/tex]

Distance d can be calculated using third equation of motion.

[tex]d=\dfrac{v^2-u^2}{2a}\\\\d=\dfrac{2.5^2-0^2}{2\times 0.5}\\\\d=6.25\ m[/tex]

So, acceleration is 0.5 m/s² and the distance covered is 6.25 m.

Answer:

16.83

Step-by-step explanation:

7.36

+ 9.47

----------

16.83

Answer:

There are two colors and 8 numbers.

One color is represented by 3 numbers 2, 3, 7

The second color is represented by 5 numbers 1, 4, 5, 6, 8