Ben purchased lunch today at the school cafeteria for $5.00. Before today, Ben owed $10.00 on his lunch account. What is the status of his lunch account after today?

Answer:

x = 5

Step-by-step explanation:

Given

3x - 5(x - 5) = - 7 + 2x + 12 ← distribute and simplify left side

3x - 5x + 25 = 2x + 5

- 2x + 25 = 2x + 5 ( subtract 2x from both sides )

- 4x + 25 = 5 ( subtract 25 from both sides )

- 4x = - 20 ( divide both sides by - 4 )

x = 5

Answer:

= 10root6 i

Step-by-step explanation:

= 5 • 2root6 i

= 10root6 i

Answer:

8 cups max

Step-by-step explanation:

3/4 cup = 1 recipe

6 2/3(20/3) cup =  20/3 x 1

                                  3/4

= 20 / 3

   3     4

= 20 x 4

   3     3

= 80/9

= 8 cups max

the 9th cup will not be enough.

Answer:

so whats the question then?

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

vertex form is y=a(x-h)^2+k

Answer:

True.

Step-by-step explanation:

The quadratic equation [tex]y=2(x+3)^2-1[/tex], is in fact written in vertex form.

Vertex Form = [tex]y=a(x-h)^2+k[/tex]

[tex]a=amplitude[/tex]

[tex]h=horizontal shift[/tex]

[tex]k=vertical shift[/tex]

Answer:

The correct answer is c.

the slope is 9

y intercept is -2

Step-by-step explanation:

When you right the equation it is in slope intercept form in which m and y are whole numbers

Answer:

$4000

Step-by-step explanation:

Given that :

Volume of cube = 8000 ft³

Charge per ft² = $10

Recall, volume of a cube = a³

Where a = edge

Hence,

a³ = 8000

Take the cube root of both sides

a = 20

Hence,

Volume = 20 * 20 * 20

The Area of the floor will be :

20 * 20 = 400 ft²

If charge per ft² = $10

400 ft² = ($10 * 400) = $4000

Answer:

14776.8

Step-by-step explanation:

Yeahh its that because its the difference and the elevation for the death valley is below sea level so if you do

x-(-y) you essentially get x+y so therefore you add the two numbers and your good (x stands for that mountain and y is for the death valley

Answer:

x ≈ 63.5°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Identify Variables

Angle = x°

Opposite Leg = 17

Hypotenuse = 19

Step 2: Solve for x

Answer:

I want to say that X= 62.8 or 63  17/19= 0.89 arcsin= 62.8 rounded 63

Step-by-step explanation:

Given:

The set of ordered pairs below represents a function.

{(–9, 1), (–5, 2), (0, 7), (1, 3), (6, –10)}

Josiah claims that the ordered pair (6, –10) can be replaced with any ordered pair and the set will still represent a function.

To find:

All the ordered pairs that could be used to show that this claim is incorrect.

Solution:

We need to find the ordered pairs that can be replaced with (6,-10) and for which the set is not a function.

A relation is called function if there exist a unique output for each input.

If (-9,-6) is replaces with (6,-10), then the set has two outputs y=1 and y=-6 for x=-9. So, the claim is incorrect.

If (1,12) is replaces with (6,-10), then the set has two outputs y=12 and y=3 for x=1. So, the claim is incorrect.

If (-10,-10) is replaces with (6,-10), then there exist unique output for each input. So, the claim is correct.

If (4,7) is replaces with (6,-10), then there exist unique output for each input. So, the claim is correct.

If (-5,1) is replaces with (6,-10), then the set has two outputs y=1 and y=2 for x=-5. So, the claim is incorrect.

Therefore, the correct options are (a), (b) and (e).

Answer:

y=71

x=109

Step-by-step explanation:

Answer:

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set

Step-by-step explanation:

[tex]distance = | \frac{2 - ( - 1)}{ \sqrt{ { (\frac{ - 1}{4} )}^{2} + {( - 1)}^{2} }} | \\ = \frac{1 2\sqrt{17} }{17} \\ = 2.9[/tex]

Answer:10.8

Step-by-step explanation:

10.8

Step-by-step explanation:

We got the same question in math that was the answer.

Answer:

z=(84-p(51+z))/d

Step-by-step explanation:

Answer:

point b

Step-by-step explanation:

took the test

Answer: point b

Step-by-step explanation: because the mans who asked the question is a legend

Answer: x=−0.518396

Step-by-step explanation:

Answer:

[tex] x=\ln (4.4) - 2 [/tex]

Step-by-step explanation:

[tex] 5e^(x+2)-8=14 [/tex]

[tex] 5e^(x+2)=22 [/tex]

[tex] e^(x+2)=4.4 [/tex]

[tex] \ln [e^(x+2)]=\ln 4.4 [/tex]

[tex] x+2=\ln 4.4 [/tex]

[tex] x=\ln (4.4) - 2 [/tex]

In one full rotation/revolution, a point on the edge travels a distance equal to the circumference of the gyroscope, or 2π (18 cm) = 36π cm. Convert the angular speed, 36π cm/rev, to linear speed:

(36π cm/rev) • (35 rev/min) = 1260π cm/min ≈ 3958 cm/min

Answer:

Step-by-step explanation:

each person represents 5%. so 45% are girls. 45/5 is 9, so 9 are girls. 20 minus 9 is 11 so 9 girls and 11 boys

The number of girls is 9 and the number of boys is 11.

Important information:

Using the given information, the number of girls is:

[tex]20\times \frac{45}{100}=9[/tex]

Now, subtract the number of girls from the total number of students.

[tex]20-9=11[/tex]

Therefore, the number of girls is 9 and the number of boys is 11.

Find out more about 'Percentage' here:

https://brainly.com/question/813490

Answer:

1,680

Step-by-step explanation:

n!/(n-r)!

in this case n= 8 and r= 4

so 8!/(8-4)! = 1,680

The possible permutation of 8 objects taken at 4 a time will be 1680.

The linear arrangement of the set of the orders or the linear arrangements of the numbers is called the permutation.

The number of possible permutations of 8 objects taken 4 at a time will be:-

[tex]^8C_4=\dfrac{8!}{(8-4)!}[/tex]

[tex]^8C_4=\dfrac{8!}{(4)!}[/tex]

[tex]^8C_4=\dfrac{8 \times 7\times 6\times 5\times 4\times 3\times 2}{4\times 3\times 2}=1680[/tex]

Therefore the possible permutation of 8 objects taken at 4 a time will be 1680.

To know more about permutations follow

https://brainly.com/question/1216161

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Answer:

7

Step-by-step explanation:

8 units separate -4 and 4

8 divided by 2 (which is the x of slope) is four

Four times 1 (which is y of slope) equals four

3+4 equals seven

(4,7)

Answer:

D I guess is the answer for the question

Answer:

its the first one and its 3.24

Height at an instance of time is given by :

h(t) = -4( t - 2 )² + 5     .....1

Differentiating above equation with respect to t .

[tex]\dfrac{dh}{dt}= -4\times ( -2 ) ( t - 2 ) \\\\\dfrac{dh}{dt}= 8(t-2)[/tex]

Now, for maximum , [tex]\dfrac{dh}{dt} = 0[/tex] .

8( t - 2 ) = 0

t = 2

Putting value of t = 2 in given equation, we get :

h( 2 ) = -4( 2 - 2 )² + 5

h( 2 ) = 5 m

Therefore, maximum height rocket can reach is 5 m.