You are playing a video game. For each diamond you collect, you earn 80 points. You also earn 100 bonus points by completing the level in less than 2 minutes. You need to earn more than 1220 points to continue on to the next level. Write and solve an inequality that represents the numbers dd of diamonds you must collect in less than 2 minutes to advance to the next level.

Answers

Answer 1

Given

For each diamond you collect, you earn 80 point

earn 100 bonus points by completing the level in less than 2 minutes.

earn more than 1220 points to continue on to the next level

Find the inequality that represents the numbers dd of diamonds you must collect in less than 2 minutes to advance to the next level.

To proof

As given in the question

For each diamond earn point = 80

bonus points by completing the level in less than 2 minutes = 100

earn more than 1220 points to continue on to the next level

Let us assume that the number of diamond = d

The inequality written in the form

we get

[tex]80d + 100 \geq 1220[/tex]

now solving the above equation

[tex]80d \geq1120[/tex]

[tex]d \geq14[/tex]

Thus the numbers of diamonds you must collect in less than 2 minutes to advance to the next level be 14.

Hence proved

Related Questions

Please help!!! The question is on the picture above. thank you :)

Answers

For a, since a straight line is 180 degrees, that means that x+x+35=180. Subtracting 35 from both sides, we get 145=2x. Next, we can divide both sides by 2 to get 72.5=x

For b, since vertical angles (opposite angles from intersecting lines) are equal, that means that 3x+13=5x-3. Subtracting 3x from both sides as well as adding 3, we get 2x=16. Dividing both sides by 2, we get x=8

two cruise ships are sailing towards each other from caribbean islands that are 264 km apart, one ship travels 4 km/h faster than the other. if they both started at the same time. and meet after 6h. how fast is the other ship travelling?

Answers

Final answer:

The slower ship is traveling at a speed of 21 km/h, while the faster ship is traveling at a speed of 25 km/h.

Explanation:

This is a mathematics problem that involves solving for unknown speeds with the given conditions. Lets assume the speed of the slower ship is x km/h. Thus, the speed of the faster ship is x+4 km/h. They are moving towards each other, thus their combined speed is (x+x+4) km/h. As speed is distance over time, we can set up the equation: (2x+4)*6 = 264. Solving this equation, we end up with x=21 km/h as the speed of the slower ship, and hence the speed of the faster ship is 25 km/h.

Learn more about Speed Calculation here:

https://brainly.com/question/19930939

#SPJ2

F= 9/5C + 32, solve for F please.

Answers

I believe u would do it this way if it's wrong please let me know hope I helped and don't srew u up

When constructing inscribed polygons and parallel lines, how are the steps different?

A.) A protractor is used to take measurements.
B.) Four right angles are created.
C.) A compass is used to copy an angle.
D.) There are no differences.

Answers

A compass is used to copy an angle.

The answer is C.

The answer is C.
hope this helps:D

plz give me brainiest

JIMMMMMMMMMMMMMMMM :)

Answers

The completed chart is attached as an image

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

Plug x = -2 into f(x) to get:
f(x) = 9*x + 7
f(-2) = 9*(-2) + 7
f(-2) = -18 + 7
f(-2) = -11

Do the same for g(x):
g(x) = 5^x
g(-2) = 5^(-2)
g(-2) = 0.04

----------------------------------------
Plug x = -1 into f(x) to get:
f(x) = 9*x + 7
f(-1) = 9*(-1) + 7
f(-1) = -9 + 7
f(-1) = -2

Do the same for g(x):
g(x) = 5^x
g(-1) = 5^(-1)
g(-1) = 0.2

----------------------------------------
Plug x = 0 into f(x) to get:
f(x) = 9*x + 7
f(0) = 9*(0) + 7
f(0) = 0 + 7
f(0) = 7

Do the same for g(x):
g(x) = 5^x
g(0) = 5^(0)
g(0) = 1

----------------------------------------
Plug x = 1 into f(x) to get:
f(x) = 9*x + 7
f(1) = 9*(1) + 7
f(1) = 9 + 7
f(1) = 16

Do the same for g(x):
g(x) = 5^x
g(1) = 5^(1)
g(1) = 5

----------------------------------------
Plug x = 2 into f(x) to get:
f(x) = 9*x + 7
f(2) = 9*(2) + 7
f(2) = 18 + 7
f(2) = 25

Do the same for g(x):
g(x) = 5^x
g(2) = 5^(2)
g(2) = 25

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

Write each of the results into the table (again see attached)

In the last row of that table, we have x = 2 lead to f(x) = 25 and g(x) = 25

So f(x) = g(x) has the solution of x = 2

The solution is x = 2 and not x = 25
25 is the output f(x) and g(x) value. It is not the x value.

Answer: choice C) x = 2

-11 1/25
-2 1/5
7 1
16 5
25 25

x = 25
(I'm guessing your suppose to find a common answer)
hope this helps

1) Write the sum or difference in the standard form a + bi. (2 points)
( 7 + 5i) - ( -9 + i)

a) 16+4i
b) -16-4i
c) 16-4i
d) -2+6i

2) Write the product in standard form. (2 points)
( 7 + 7i)( 6 + 7i)

a) -7 + 91i
b) 49i2 + 91i + 42
c) 91 - 7i
d) -7 - 91i

3) Find the product of the complex number and its conjugate. (2 points)
1 + 3i

a) 1 + 9i
b) 10
c) -8
d) 1-9i

4) Write the expression in standard form. (2 points)
three divided by quantity three minus twelve i.

a) - one divided by seventeen. + four divided by seventeen. i
b) one divided by seventeen. - four divided by seventeen. i
c) - one divided by seventeen. - four divided by seventeen. i
d) one divided by seventeen. + four divided by seventeen. i

5) Find the real numbers x and y that make the equation true. (2 points)
5 + yi = x + 3i

Answers

When performing addition and multiplication with constant numbers, we treat i as we would treat any variable x in an expression, with the same rules and properties of addition and multiplication.

1)

[tex]( 7 + 5i) - ( -9 + i)=7+5i+9-i=(7+9)+(5i-i)=16+4i[/tex]

2)
Distribute 7+7i over 6 and 7i:

[tex]( 7 + 7i)( 6 + 7i)=( 7 + 7i)\cdot6+( 7 + 7i)\cdot7i=42+42i+49i+49i^2[/tex]

collecting similar terms, and substituting [tex]i^2[/tex] with -1 we have:

42+91i-49=-7+91 i

3)

The conjugate of a complex number a+bi is a-bi;
the conjugate of 1+3i is 1-3i.

Thus, using the difference of squares formula we have

[tex](1+3i)(1-3i)=1^2-(3i)^2=1-9i^2=1-9(-1)=1+9=10[/tex]

4)

To write a rational expression ( with a complex number in the denominator) in the standard form, we multiply by the conjugate of the denominator both the numerator and the denominator:

[tex]\displaystyle{ \frac{3}{3-12i}= \frac{3(3+12i)}{(3-12i)(3+12i)}= \frac{9+36i}{3^2-(12i)^2} [/tex]

[tex]=\displaystyle{ \frac{9+36i}{9+144}= \frac{9+36i}{153}= \frac{9}{153}+ \frac{36}{153}i [/tex]

simplifying by 9, the complex number is finally written as

[tex]\displaystyle{ \frac{1}{17}+ \frac{4}{17}i [/tex]

5)

2 complex numbers a+bi, and c+di are equal only if a=c, and b=d. (Where a, b, c, d are real numbers.)

Thus, x=5, and y=3 is the solution to the equation.

Answers:

1) A
2) A
3) B
4) D
5) (x, y) =( 5, 3)

2+1/6y=3x+4 solve for y

Answers

2+1/6y=3x+4 solve for y

Answer y=18x+12

2 + 1/6y = 3x + 4
× 6y throughout
12y + 1 = 18xy + 24y
Send 12y to the other side
12y + 18xy = 1
Y is common
y (12 + 18x) = 1
y = 1/ (12 + 18x)

Hope it helped!

A pool is filled at a rate of 105 gal/min. What is the rate in mL per second?

Answers

Greetings!

(There are 3785.41 mL in a gallon.)
There are 60 seconds in minute. Therefore, if we divided the gallon per minute by 60, we can get the answer.

105/60
=1.75 gallon per second

1.75*3785.41
=6624.4675 mL per second

Hope this helps.
-Benjamin

A circle and a square have the same area. find the length of the diagonal of the square divided by the radius of the circle.

Answers

Let us say that the square have edge = sqrt(pi), then its area is pi since A = edge^2, and therefore the diagonal is pi*sqrt(2).

Meanwhile the circle of radius 1 has area pi since area of circle is A = pi *radius^2.

Therefore we get that the diagonal of the square divided by the radius is:

diagonal / radius = pi*sqrt(2) / 1 = pi*sqrt(2)

You have 6 green marbles, 23 blue marbles, and 18 red marbles. what is the probability of choosing a red marble. express your answer as a fraction in lowest terms.

Answers

The probability of choosing a red marble is 18/47.

A shop makes $37.50 for selling 15 calendars. If the shop wants to make $2450, how many calendars does it need to sell?

Answers

First find the price per calendar.

37.50/15=$2.5 per calendar

Next find the amount of calendars by dividing the amount the shop wants to sell by the price per calendar.

2450/2.5=980 calendars

The shop needs to sell 980 calendars to make $2450.

To find out how many calendars the shop needs to sell to make $2450, we first determine the price per calendar by dividing the total amount made from selling a batch of calendars by the number of calendars in that batch. The shop makes $37.50 from selling 15 calendars, so each calendar is sold for $37.50 / 15 = $2.50. To reach the goal of $2450, we need to calculate the number of calendars by dividing the target amount by the price per calendar.

$2450 / $2.50 = 980 calendars

PLEASE ANSWERRRRRRRR
1. Choose the equation of the vertical line passing through the point (−2, 3).

y = 3
x = 3
y = −2
x = −2

2. The domain of the following relation: R: {(−4, 8), (8, 10), (5, 4), (1, 6), (5, −9)} is

{8, 10, 4, 6, −9}
{−4, 1, 5, 8}
{−4, 8, 5, 1, 5}
No domain exists

Answers

1. x = -2
2. I'm pretty sure it's {-4,1,5,8}... the 5 doesn't have to be written twice..

What is the area of the polygon below

Answers

I got A. 156 for this question.

147 thats the awnser

Use the converse of the pythagorean theorem to determine whether the triangle with the given vertices is a right triangle. (2, 1)(6, 4), (–4, 9)

Answers

hello :
let : A(2, 1) , B(6, 4) , C(–4, 9)
calculate : AB , AC, BC
AB = √((6-2)² + (4-1)²) = √25 = 5
AC= √((-4-2)² + (9-1)²) = √100 = 10
BC= √((-4-6)² + (9-4)²) = √125
by pythagorean theorem : BC² = AC² + AB²
the triangle is rectangle in : A

the table represent a linear function

X Y
-2 -2
-1 1
0 4
1 7
2 10
what is the slope of the function?
-3
-2
3
4

Answers

the answer is three work is in picture

Answer:

The answer is 3.

Step-by-step explanation:

In order to determine the slope of the function, we have to know about linear function.

In any linear function, we can get its slope using two pairs of coordinates that belong to the linear function.

m=Slope of the linear function.

P1=(x1,y1)=First pair of coordinate.

P2=(x2,y2)=Second pair of coordinate.

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

In this case, we have many pairs of coordinates, so we choose two of them:

[tex]P_1=(-1,1)\\P_2=(0,4)[/tex]

Then, we replace them in the slope formula:

[tex]m=\frac{4-1}{0-(-1)}=\frac{3}{1}=3[/tex]

Finally, the slope of the function is 3.

Which does not describe the same situation?

Answers

Answer:

4. Option 3rd.

Step-by-step explanation:

In this question, three options are given.

We need to describe the same situation.

First option: y = 3 + 6x

this equation represent the equation of a line. In that line all the points are related with each other with same relation.

So, this equation describe the same situation.

Second equation:

y is two more than six times x.

We write this situation in equation form.

y = 6x + 2

this is also describe the same situation.

Third option:

this table shows the x-y relation table.

Here no two points are describe the same situation.

So, option 3rd doesn't describe same situation.

Question 5:

Please share the options

Answer:

Step-by-step explanation:

It is A

Find the equation of the line that is perpendicular to the line 3x-y=-4 and contains the point (-2,4)

Answers

3x - y = -4
- 3x - 3x
-------------------
y = -3x - 4

Slope: -3
Opposite Reciprocal Slope: 1/3

Given: (-2,4)

Point Slope Form: y - y₁ = m(x - x₁)
y - 4 = 1/3(x + 2)
y - 4 = 1/3x + 2/3
+ 4 + 4
-----------------------------
y = 1/3x + 14/3

A girl takes 6 hours to ride 38.4 kilometers what is her speed

Answers

I'm not sure but i think its 6.4km per hour

6.4 km an hour. I hope that Helps.

the total points scored in a basketball game can be calculated using the expression 3c - 3 if c = 41, how many points total were scored

Answers

Answer:

its actually 126

Step-by-step explanation:

Final answer:

The total points scored in the basketball game is 120 points.

Explanation:

To find the total points scored in a basketball game, we can use the expression 3c - 3. Given that c is equal to 41, we can substitute this value into the expression to calculate the total points.

So, 3c - 3 = 3(41) - 3 = 123 - 3 = 120.

Therefore, a total of 120 points were scored in the basketball game.

Which statement is true about the difference 2√7-√28

Answers

It seems like there are answer choices but you forgot to post them. If you want to simplify then

2*sqrt(7) - sqrt(28) = 2*sqrt(7) - sqrt(4*7)
2*sqrt(7) - sqrt(28) = 2*sqrt(7) - sqrt(4)*sqrt(7)
2*sqrt(7) - sqrt(28) = 2*sqrt(7) - 2*sqrt(7)
2*sqrt(7) - sqrt(28) = (2-2)*sqrt(7)
2*sqrt(7) - sqrt(28) = (0)*sqrt(7)
2*sqrt(7) - sqrt(28) = 0

So the whole complicated expression simplifies to 0 (zero)

This is because sqrt(28) = 2*sqrt(7) when you simplify sqrt(28)

Side Note: "sqrt" is shorthand for "square root"

A number sentence is said to be true if both numerical expressions are

Answers

if both expressions are equivalent (that is when both evaluate to the same number)

He tax rates are as shown. nevada mining currently has taxable income of $97,800. how much additional tax will the firm owe if taxable income increases by $21,000?

Answers

Although there is a bit of information missing, I can answer this question in a general sense. If taxable income is $97,800, then the tax liability is $97,800 * (Tax Rate). For example, if the tax rate is %15 then the tax liability will be $97,800 * .15 = $14,670. If taxable income increases by $21,000, then the additional tax liability in addition to the $14,670 reported earlier will be $21,00 * .15 = $3,150. Please substitute whatever tax rate is given in the original problem wherever i stated .15 or %15. This is just an arbitrary number I used because the information was missing from the problem.

Prove that acceleration is perpendicular to velocity

Answers

what are the answers

How do i factor -1/2 out of -1/2x + 6

Answers

-1/2x + 6

-1/2(x - 12)

multiply -2 to the 6 so that when you multiply -1/2 into the expression it will turn into positive 6

hope this helps

Cynthia besch wants to buy a rug for a room that is 18 ft wide and 30 ft long. she wants to leave a uniform strip of floor around the rug. she can afford to buy 220 square feet of carpeting. what dimensions should the rugâ have?

Answers

Since the strip around the outside of the rug will be uniform, the dimensions of the rug will have the form (18 - x) in width and (30 - x) in length, where x is equal to twice width of the strip. We can use this data to set up an equation. (18 - x) (30 - x) = 220 x^2 - 48 x + 540 = 220 x^2 - 48 x + 320 = 0 (x - 8) (x - 40) = 0 x = 8 or x = 40 Since x = 40 is too wide for the strip, the correct solution is x = 8 The width of the rug is: 18 - x = 10 feet The length of the rug is: 30 - x = 22 feet The dimensions of the rug are 10 feet x 22 feet. Note that the area is equal to 220 square feet.

What is the definition of proof in geometry

Answers

I'm guessing just to show that you did your work to get the answer.

A geometric proof involves writing reasoned, logical explanations that use definitions, axioms, postulates, and previously proved theorems to arrive at a conclusion about a geometric statement. hope this helped:)

How to find the domain of a composite function?

Answers

The domain of the inside function exists, and then an analysis of the outside function may yield an extra restriction to the domain.

what is the sum of the measures of interior angles of a 15-sides polygon

Answers

using
sum = (n-2)180
= (15-2)180 = 13×180 = 2340°

Answer:

2340

Step-by-step explanation:

A P E X

Is 1.34 a non-terminating decimal

Answers

if it is just 1.34, then it terminates.....1.34 = 1 34/100 = 1 17/50

terminates means ends.. so the answer to your question is no, 1.34 is a TERMINATING decimal

A restaurant bill before tax is 65.50.if the sales tax is 8% and the a 18% tip is added what is the total cost

Answers

Total $83.47

$65.50 + $5.24 (8%tax ) = $70.74
$70.74 + $12.73 (18%) = $83.47

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