A oil company has a large tank that holds the oil before it is distributed. Which of the following amounts of oil would fit in the tank properly?
A: 21,000
B: 30,000
C: 20,000
D: 22,000

Answer: 12.9

Step-by-step explanation:

Answer:

6p + 7c = 50

4p + 5c = 34

(where p is the number of pizzas and c is the number of bags of chicken wings)

We need to buy 6 pizzas and 2 bags of chicken wings in order to spend a total of $50, AND for each of the 17 people to have 2 servings of food.

Step-by-step explanation:

Let p = number of pizzas

Let c = number of bags of chicken wings

Equation 1

Given:

⇒ 6p + 7c = 50

Equation 2

Given:

⇒ 4p + 5c = 34

Equation 3

Multiply Equation 2 by 1.5:

⇒ 6p + 7.5c = 51

Subtract Equation 1 from Equation 3 and solve for c:

⇒ 0.5c = 1

⇒ c = 2

Substitute found value of c into Equation 2 and solve for p:

⇒ 4p + 5(2) = 34

⇒ 4p + 10 = 34

⇒ 4p = 24

⇒ p = 6

Therefore, we need to buy 6 pizzas and 2 bags of chicken wings in order to spend a total of $50, AND for each of the 17 people to have 2 servings of food.

Step-by-step explanation:

There is 1 adult for every 15 students. (I don't see any pictures of a graph)

Answer:

There is 1 adult for every 15 students

Step-by-step explanation:

Answer:

6 1/2 minutes per miles

2/13 miles per minutes

Step-by-step explanation:

Distance travelled = 2 1/2 miles

Time taken = 16 1/4 minutes

Average: minutes per mile

= 16 1/4 minutes / 2 1/2 miles

= 65/4 ÷ 5/2

= 65/4 × 2/5

= 13/2

= 6 1/2

Average time per mile in minutes

= 6 1/2 minutes per mile

Average (miles per minutes)

= 2 1/2 ÷ 16 1/4

= 5/2 ÷ 65/4

= 5/2 × 4/65

= 20 / 130

= 2/13 miles per minutes

Answer:

281.15 cm²

Step-by-step explanation:

semi perimeter ( s ) = ( a + b + c ) / 2

=( KL + LM + KM ) / 2

=(32+21+27)/2

= 80/2

=40

Area of triangle =

[tex] \sqrt{s \: (s - a) \: (s - b)(s - c)} [/tex]

[tex] \sqrt{40(40 - 32)(40 - 21)(40 - 27)} [/tex]

[tex] \sqrt{40 \times 8 \times 19 \times 13} [/tex]

[tex] \sqrt{79040} [/tex]

[tex]281.15cm {}^{2} [/tex]

Answer:

6 people per car

Step-by-step explanation:

divide 18 people by 3 cars to get people per cars.

please rate and mark as brainlest.

Answer:

d₃ = 803.9 Miles

Step-by-step explanation:

d₁ = 560 Miles

R₁ = N35⁰E

d₂ = 410 Miles

R₂ = S76⁰E

d₃ = ?

α = 35⁰+76⁰ = 111⁰

We can apply the Law of Cosines as follows

d₃ = √(d₁² + d₂² - 2*d₁*d₂* Cos α)

⇒  d₃ = √(560² + 410² - 2*560*410* Cos 111⁰) = 803.9 Miles

Answer:

A. $32

Step-by-step explanation:

Normal price

1 chair cost = $79.99

2 chairs = $79.99 × 2

= $159.98

Discount price of 2 chairs

40% of $79.99

= 40/100 × 79.99

= 0.4 × 79.99

= 31.996

Approximately

$32

A. $32

Answer:

585

Step-by-step explanation:

650/10 = 65 (10%)

65 * 9 = 585

Answer:

40 carnations

Step-by-step explanation:

Using the principle of proportional relationship, the number of carnations to be used in the bouquet is 40

Setting up the proportional relationship thus :

2 roses = 5 carnations ----(1)

16 roses = P carnations - - - - - 2)

Solve for p :

Cross multiply :

2p = 16 × 5

2p = 80

p = 80 /2

p = 40

Therefore, the Number of carnations to be used is 40

Learn more : https://brainly.com/question/18581754

Answer:

[tex]y=3750 \cdot 1.0215^t[/tex]

(where [tex]y[/tex] is the population and [tex]t[/tex] is time in years after 2021)

5159

Step-by-step explanation:

Part (a)

General form of an exponential function:  [tex]y=ab^x[/tex]

where:

If [tex]b > 1[/tex]  then it is an increasing function

If [tex]0 < b < 1[/tex] then it is a decreasing function

We are told that the initial population is 3750.  Therefore, [tex]a=3750[/tex]

We are told that the farm grows at a rate of 2.15% annually.  Therefore, if it grows then every year it is 100% + 2.15% = 102.15% of the previous year.

Convert the percentage into a decimal:

102.15% = 102.15/100 = 1.0215

Therefore, [tex]b=1.0215[/tex]

We are told that the independent variable is [tex]t[/tex] (in years).

Therefore, the equation is  [tex]y=3750 \cdot 1.0215^t[/tex]

(where [tex]y[/tex] is the population and [tex]t[/tex] is time in years after 2021)

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

Part (b)

The year 2036 is 15 years after 2021.  Therefore, substitute [tex]t = 15[/tex] into the equation and solve for [tex]y[/tex]:

[tex]\implies y=3750 \cdot 1.0215^{15}[/tex]

[tex]\implies y=5159.49068...[/tex]

Therefore, an estimate of the population of the town in 2036 is 5159.

Answer:

[tex]x=0[/tex]

Step-by-step explanation:

Given the following question:

[tex]-5 - 3(x - 8) = -5x + 19[/tex]

To find the answer expand the equation, add/subtract on both sides, and simplify the expression.

[tex]-5 - 3(x - 8) = -5x + 19[/tex]
[tex]-5-3(x-8)=-3x+19[/tex]
[tex]-3x+19=-5x+19[/tex]
[tex]19-19=0[/tex]
[tex]19-19=0[/tex]
[tex]-3x=-5x[/tex]
[tex]-3x+5x=-5x+5x[/tex]
[tex]-3x+5x=2x[/tex]
[tex]2x=0[/tex]
[tex]2x\div2=x[/tex]
[tex]0\div2=0[/tex]
[tex]x=0[/tex]

Your answer is "x = 0."

Hope this helps.

think of the mirror reflection

imagine folding the sheet on the horizontal line y = 1

A        B

         C

----------------------         y = 1

         C'

A'       B'

This is really simple, all you have to do is:

Answer:

4

Step-by-step explanation:

By the triangle midsegment theorem, 2(YW)=VZ.

This means 2(7s)=s+52, and thus s=4.

Answer:

She used 4 test tubes for the last experiment

Step-by-step explanation:

Total test tubes needed = 14

Experiment 1 = 2 test tubes

Total test tubes remaining = total - used

= 14 - 2

= 12 test tubes

Remaining experiment = 4 - 1

= 3

Test tubes used for the remaining experiment = test tubes remaining / Experiment remaining

= 12 / 3

= 4 test tubes

How many test tubes did she use for the last experiment?

She used 4 test tubes for the last experiment

Answer:

B

Step-by-step explanation:

[tex]\begin{array}{lcccl} &\stackrel{lbs}{Qty}&\stackrel{\$}{price}&\stackrel{total}{value}\\ \cline{2-4}&\\ \textit{1st candy}&x&0.9&0.9x\\ \textit{2nd candy}&y&0.4&0.4y\\ \cline{1-4} mix&50&0.85&42.5 \end{array}\qquad \qquad \begin{cases} x+y=50\\\\ 0.9x+0.4y=42.5 \end{cases} \\\\[-0.35em] ~\dotfill[/tex][tex]\stackrel{\textit{using the 1st equation}}{x+y=50\implies y=50-x}\qquad \qquad \stackrel{\textit{substituting on the 2nd equation}}{0.9x~~ + ~~0.4(50-x)~~ = ~~42.5} \\\\\\ 0.9x+20-0.4x=42.5\implies 0.5x+20=42.5\implies 0.5x=22.5 \\\\\\ x=\cfrac{22.5}{0.5}\implies \boxed{x=45}\qquad \qquad \qquad \boxed{\stackrel{50~~ - ~~45}{y=5}}[/tex]

Answer:

im too slow i thought this was a gta cheat code

Answer:

I only know the first question and it's f(x)=3x^2+24x-6.

Answer: a) $30  b) $50  c) $20 each hour   d) No, because the line does not pass through (0,0)

Step-by-step explanation:

What is Jane's pay if she doesn't work any hours? This question means how much money does Jane gets paid for working 0 hours (y-intercept). At 0 hours on the x-axis, the point on the line is $30. This can be written as (0,30)

If she works 1 hour, the point where 1 hour on the x-axis meets with the y-axis is $50 dollars. This can be written as (1,50).

Her pay increase each hour is the slope in this given equation as the starting payment before completing any hours work is $30 and the line increases at a positive rate of change. The slope is y^2-y^1 divided by x^2-x^1, and we have (0,30) and (1,50). Plugging them into the formula, 50-30 divided by 1-0 is 20; the slope is $20 for every 1-hour increase).

And for determining whether b and c are equal, every answer choice includes whether the line passes through the point (0,0). After answering problem c, you should find that your equation is y=20x+30 (20 as the slope and 30 as the y-intercept). As a reminder, b is $50 and c is $20, so you already know it is not the top two answer choices. So to see if it DOES pass through (0,0) you can plug the values into the equation OR graph it. Either way, you will see that (0,0) does not pass through the line and that 0 does not equal 30 (0=20(0)+30).  

Answer:

8

Step-by-step explanation:

Answer:

59

Step-by-step explanation:

You know the measures of the 2 angle values. you add

52+69=121

Since the interior has to be 180 degrees, you subtract

180-121=59 degrees is the measure of I.

Answer:

is this geometry. if it is then i can help you

Step-by-step explanation:

[tex]\\ \rm\rightarrowtail \dfrac{NM}{NO}=\dfrac{KM}{KL}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{x}{7}=\dfrac{20}{2x}[/tex]

[tex]\\ \rm\rightarrowtail 2x^2=140[/tex]

[tex]\\ \rm\rightarrowtail x^2=70[/tex]

[tex]\\ \rm\rightarrowtail x=\sqrt{70}[/tex]

Answer:

12 1/4

Step-by-step explanation:

2in

3.5in

1.75in

equals:

12.25 or 12 1/4

Answer: 340

Step-by-step explanation:

Given: There are 15 plant-eating mammals for every 2 meat-eating mammals.

i.e. ratio of meat-eating mammals to plant eating animals = 2:15 or [tex]\dfrac2{15}[/tex]

ratio of meat-eating mammals to total population = [tex]\dfrac{2}{17}[/tex]

Total population: 2,900 (approx.)

The population of meat-eating mammals in the valley = [tex]\dfrac{2}{17}\times2900[/tex]

[tex]\approx341[/tex]

From the given options, the best estimate of the population of meat-eating mammals in the valley = 340

Check the picture below, so the parabola looks more or less like so, with a vertex at (0 , -7), let's recall the vertex is half-way between the focus point and the directrix.

so this horizontal parabola opens up to the left-hand-side, meaning that the "P" distance is a negative value.

[tex]\textit{horizontal parabola vertex form with focus point distance} \\\\ 4p(x- h)=(y- k)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h+p,k)}\qquad \stackrel{directrix}{x=h-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\supset}\qquad \stackrel{"p"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\begin{cases} h=0\\ k=-7\\ p=-9 \end{cases}\implies 4(-9)(x-0)~~ = ~~[y-(-7)]^2 \\\\\\ -36x=(y+7)^2\implies x=-\cfrac{1}{36}(y+7)^2[/tex]

Answer:

2.47 × 10^-6

Step-by-step explanation:

The negative power is in coorilation to how many decimal spots it was moved.

Ex: The 2 in 2.47 was moved left 6 spots.

Explanation:

The trapezoid has area of

A = h*(b1+b2)/2

A = 6*(10+18)/2

A = 84

The rectangle is 18 ft by 12 ft, which leads to an area of 18*12 = 216 sq ft.

Adding the two sub-areas gets us: 84+216 = 300

The total area of the house-shaped figure is 300 sq ft.

Answer:

30

Step-by-step explanation:

2x30=60

3x30=90

60+90+30=150

Answer:

yes

Step-by-step explanation:

Answer:

Except d. Rotate 120 degrees around center c then rotate 220 degrees around again.

Step-by-step explanation:

Let's choose an arbitrary shape to work with the exercise.

For example a square (All the conclusions that we will make can be use with any shape).

For a. Translate 3 units up, then 3 units down is easy to see that this will return the square to its original position. Wherever we translate up and then down the same units a particularly shape this will return to its original position.

For b. Reflect over line p, then reflect over line p again

Wherever we have any particularly shape and we reflect over an arbitrary line twice, the shape will return to its original position. Particularly, the composition of two reflections over the same line is the identity function.

The identity function is the function that doesn't change the shape (It is the analogy of the multiplication by 1 with the common product between real numbers).

c. Translate 1 unit to the right, then 4 units to the left, then 3 units to the right.

The composition of this three translation will return the square to its original position (Same reasoning as a.)

d. Rotate 120 degrees around center c then rotate 220 degrees around c again.

Given that we choose an arbitrary center c and then chosen an arbitrary rotation sense (counterclockwise or clockwise), the composition of the two rotations is a 340 degrees rotation (given that we sum the degrees).

This transformation will not return a shape to its original position

(Of course, it exists some exceptions such as a rotation of a circle around its center. For any value of degrees, the rotation of a circle around its center will return the circle to its original position).

Generally, option d. is the correct option.