A car traveled 200 miles on 8 1/2 gallons of gas. How much gas will it take to drive 1 mile?

Answer:

290,905

Because the ten-thousands place is greatest, and the hundreds place is greater than option A, we can determine that option C is correct.

Answer:

X = 5

Step-by-step explanation:

When the line is going vertically down, the x-intercept is always the equation of the line.

Linear equations are typically organized in slope-intercept form:

[tex]y=mx+b[/tex]

However, for vertical line equations, we write them a little differently:

[tex]x=d[/tex]

We write equations for vertical lines like this because they might not always have a y-intercept.

We're given:

This means that the x-intercept of the line is 5. Plug this into [tex]x=d[/tex]:

[tex]x=d[/tex]

[tex]x=5[/tex]

[tex]x=5[/tex]

Step-by-step explanation:

(-2-6)/(3-5)= -8/-2= 4

y+2= 4(x-3)

y+2= 4x-12

y=4x-14

Answer:

y = 4x - 14 or y = 2(x - 7)

Step-by-step explanation:

Finding the slope

Finding the y-intercept

Making the equation using slope-intercept form

Answer:

10.6

Step-by-step explanation:

We can use the Pythagorean Theorem to find the radius, as we are given a right triangle. The hypotenuse is 16. So we have [tex]r^2 + 12^2 = 16^2[/tex].

Solving for [tex]r[/tex] (radius), we get [tex]r = \sqrt{16^2 - 12^2} = 10.6[/tex] (rounded to the nearest tenth place).

Answer:

step 1

Step-by-step explanation:

in step one,  it should have been 2 x 7 x 1000

Answer:

step 1

Step-by-step explanation:

In step 1 he separated 7000 as 7×100. but it should be 7×1000 or 70×100 because its 7000 not 700

So, the simplified expression that represents the total cost is 8(x + 0.34375) dollars.

Let x be the cost of one scoop of ice cream without any toppings. Then the total cost for each kid who adds sprinkles is x + 0.25, the total cost for each kid who adds nuts is x + 0.35, and the total cost for each kid who adds nothing extra is x.

Therefore, the total cost for the 10 kids is:

5(x + 0.25) + 3(x + 0.35) + 2x = 8x + 2.75

Simplifying this expression, we get:

8x + 2.75 = 8(x + 0.34375)

To learn more about cost:

https://brainly.com/question/30045916

#SPJ1

Answer:

  x = -1 and x = +1

Step-by-step explanation:

The solution to f(x) = g(x) is found where the graphs intersect.

__

Your problem statement tells you the solution:

  "The curve and the line intersects at begin ordered pair negative 1 comma 3 end ordered pair and begin ordered pair 1 comma 1.5 end ordered pair."

We interpret this statement to mean the points of intersection are ...

  (-1, 3) and (1, 1.5)

The x-values that make f(x) = g(x) are x=-1 and x=1.

Answer:

c

Step-by-step explanation:

The multiplicative inverse of number 0 does not exist.

When taking the multiplicative inverse of 0, we get :

Answer:

Step-by-step explanation:

Let x be the number of days that it will take.

7/8 km per 1 day

14 km    per x day

We have to solve the equation:

[tex]\frac{x}{1} =\frac{14}{\left( \frac{7}{8} \right) }[/tex]

[tex]\Longrightarrow x=14\times \frac{8}{7} =2\times 8=16[/tex]

Answer:

a = 337.214 m2

Step-by-step explanation:

hope this helps

Answer:

The s represents the y-intercept of the graph.

The 100t in the equation means the initial velocity of the rockey is 100

Step-by-step explanation:

According to the text and graph.

The s reprecets the yintexept of the graph

h(t)=5+100t-16t²

h(t)=100-32t

k(0)=100

in terms of the rocket The 100t in the equation means the initial velocity of the rockey is 100

read the image for the rest

The recursive formula of the geometric sequence is [tex]a_{n} = 5a_{n-1}[/tex] and a1 = 1.25

The given parameters are:

Fifth term = 781.25

Term = 1/5 * following term

The second parameter above means that:

[tex]a_n = \frac{1}{5} * a_{n+ 1}[/tex]

Multiply both sides by 5

[tex]a_{n+1} = 5a_n[/tex]

Remove 1 from the terms

[tex]a_{n} = 5a_{n-1}[/tex]

Using the formula [tex]a_n = \frac{1}{5} * a_{n+ 1}[/tex], we have the first term to be:

[tex]a_1 = \frac 15 * a_2[/tex]

[tex]a_2 = \frac 15 * a_3[/tex]

[tex]a_3 = \frac 15 * a_4[/tex]

[tex]a_4 = \frac 15 * a_5 = \frac 15 * 781.25 = 156.25[/tex]

So, we have:

[tex]a_3 = \frac 15 * 156.25 = 31.25[/tex]

[tex]a_2 = \frac 15 * 31.25 = 6.25[/tex]

[tex]a_1 = \frac 15 * 6.25 = 1.25[/tex]

Hence, the recursive formula is [tex]a_{n} = 5a_{n-1}[/tex] and a1 = 1.25

Read more about recursive sequence at:

https://brainly.com/question/1275192

#SPJ1

Answer:

A

Step-by-step explanation:

Answer:

8 miles a day

Step-by-step explanation:

First you have to subtract the amount of miles she had already gone.

60 - 12 = 48

Next you have to divide by the remaining amount of days (6 days).

48/6 = 8

Answer:

the exponent is four

2x2x2x2 is 16

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Concept : As we know, Angle made by an arc on the centre of the circle is double the angle made by the same arc on the part of circle.

Therefore, we can infer that :

[tex]\qquad \sf  \dashrightarrow \:\angle O= 2 × \angle R[/tex]

[tex]\qquad \sf  \dashrightarrow \:\measuredangle O= 2 × 28 \degree[/tex]

[tex]\qquad \sf  \dashrightarrow \:\measuredangle O= 56 \degree[/tex]

I hope that helps ~

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

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

        What are the coefficients in the polynomial 4x²+3x-3?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond[/tex]

Coefficient:-  A number before a variable

Coefficients in this polynomial:-

4 (the number before x²) and 3 (the number before x)

So we conclude that the right option is:-

[tex]\bigcirc\!\!\!\!\!\large\checkmark[/tex] 4, 3 (Option B)

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

The value of the product expression (x + 1)(x - 3) is x² - 2x - 3

From the complete question, the product expression is given as:

(x + 1)(x - 3)

Expand

x(x - 3) + 1(x - 3)

Further, expand

x² - 3x + x - 3

Evaluate the like terms

x² - 2x - 3

Hence, the value of the product expression (x + 1)(x - 3) is x² - 2x - 3

Read more about product expression at:

https://brainly.com/question/4344214

#SPJ1

Answer:

C) cross products

Step-by-step explanation:

Let's say you were solving [tex]\frac{1}{2}=\frac{x}{4}[/tex] for example. You would need to use cross products to simplify the problem. Here, the left side would be 1*4, and the right side would be 2*x, giving you [tex]4=2x[/tex], thus, leading to the solution [tex]x=2[/tex]. We can see clearly that the cross products would thus need to be equal to each other.

The probability is the ratio of the favorable outcome to the total number of outcomes. Then the probability of a pink marble is 33.33%.

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

Joe has a bag with 10 pink marbles and 20 silver marbles.

If he draws a marble from the bag without looking.

Then the probability that it will be a pink marble.

The total number of the event will be

Total event = 20 + 10

Total event = 30

Favorable event = 10

Then the probability will be

P = 10 /30

P = 1/3

P = 0.3333

P = 33.33%

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ1

Answer:

24 cookies increased by 25% is 30 cookies

step by step explination:

If you want to increase a number by a certain percentage, follow these steps:

1. Divide the number you wish to increase by 100 to find 1% of it.

2. Multiply 1% by your chosen percentage.

3. Add this number to your original number.

4. There you go, you have just added a percentage increase to a number!

Answer:

49 teachers

Step-by-step explanation:

By proportion, the number of teachers needed is found as follows:

6/102 = x/825 where x is the required number of teachers.

102x = 6*825

x = (6*825)/102

=  48.5

Answer:

Se necesitan 49 profesares

Step-by-step explanation:

Answer:

Point D

Step-by-step explanation:

The length from Point A to Point D is 6 units, while the length from point A to Point C is 7 units, and the length from Point A to Point B is also 7 units. Because to reach Point C, you have to make one turn, adding one more unit. Same with Point B.

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

Explanation:

Point A is at (-3,3) while point B is at (2,5)

Let's use the distance formula to find the distance between these points.

[tex]A = (x_1,y_1) = (-3,3) \text{ and } B = (x_2, y_2) = (2,5)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-3-2)^2 + (3-5)^2}\\\\d = \sqrt{(-5)^2 + (-2)^2}\\\\d = \sqrt{25 + 4}\\\\d = \sqrt{29}\\\\d \approx 5.3852\\\\[/tex]

The distance from A to B is approximately 5.3852 units.

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

Point C is at (-2,-2)

Let's find the distance from A to C

[tex]A = (x_1,y_1) = (-3,3) \text{ and } C = (x_2, y_2) = (-2,-2)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-3-(-2))^2 + (3-(-2))^2}\\\\d = \sqrt{(-3+2)^2 + (3+2)^2}\\\\d = \sqrt{(-1)^2 + (5)^2}\\\\d = \sqrt{1 + 25}\\\\d = \sqrt{26}\\\\d \approx 5.099\\\\[/tex]

The distance from A to C is approximately 5.099 units.

So far, point C is the closest to point A.

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

Point D is at (3,3)

We could use the distance formula to find the distance from A to D, but we can simply subtract the x coordinates and make the result positive if needed. This works because points A and D have the same y coordinate.

D - A = 3 - (-3) = 3+3 = 6

The distance from A to D is 6 units.

Or you could count out the horizontal spaces between the points and you should count 6 spaces.

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

Summary:

The smallest distance value is the 5.099, which is from A to C.

Therefore, point C is closest to point A.

She made a mistake on step 3

The [tex]18^2+24^2[/tex] is not the same as [tex](18+24)^2[/tex]

This is what her steps should look like

[tex]a^2 + b^2 = c^2\\\\18^2 + 24^2 = 30^2\\\\324 + 576 = 900\\\\900 = 900\\\\[/tex]

Since we get the same number on both sides, this means the last equation is true. This means the first equation is also true. Therefore, she does have a right triangle. Refer to the converse of the pythagorean theorem for more info.

Answer: The answer is in fact C.

Step-by-step explanation:

I am the lizard king, I can do anything.

Answer:

A

Step-by-step explanation:

sin 32=29.2/x

x=29.2/sin 32

Answer:

[tex]A.\:\:x =\frac{29.2}{\sin (32)\degree}[/tex]

Step-by-step explanation:

Answer:

BE

Step-by-step explanation:

Answer:

Given that certificate of deposits earns 0.75% interest every three months, the value of $25,000 after 8 years will be:

A=P(1+r/100)^nt

where:

A=amount

P=principle

r=rate

t=time

n=number of terms

thus:

from the infomation

$25000, r=0.75%, t=8 years, n=12/3=4

thus

A=25000(1+0.0075/100)^(4*8)

A=25000(1.0075)^32

A=$3175.28

Step-by-step explanation:

Answer:

1326 cm²

Step-by-step explanation:

1) Identify the equation of the surface area of a rectangular prism

       [tex]A = 2(wl + wh + hl)[/tex]

2) Input the corresponding values [tex]l=15 cm[/tex]; [tex]w=22 cm[/tex]; and [tex]h=9 cm[/tex] into the equation, and solve for the area

       [tex]A=2(wl+wh+hl)\\A=2((22)(15)+(22)(9)+(9)(15))\\A=2(330+198+135)\\A=2(663)\\A=1326 cm^{2}[/tex]

3) ∴ [tex]A=1326cm^2[/tex]