How many ​3-digit numbers can be formed using the digits​ 0, 1,​ 2, 3,​ 4, 5,​ 6, 7,​ 8, 9, if repetition of digits is​ allowed?

Answer:

the solutions are where the parabola crosses the x-axis; therefore, if the parabola does not cross the x-axis then the solutions can be considered to be imaginary (for example, the square root of a negative)

Step-by-step explanation:

Answer:

[tex]r = 43.35[/tex]

Step-by-step explanation:

Given

[tex]Current\ Rent = r[/tex]

[tex]Increment = 15\%[/tex]

[tex]New\ Rent = \$51[/tex]

Required

Determine the value of r

The value of r can be set up percentage increase formula as follows:

[tex]\%Increment = \frac{New\ Rent - Current\ Rent}{Current\ Rent}[/tex]

Substitute values in the above equation

[tex]15\% = \frac{51 - r}{51}[/tex]

Cross Multiply

[tex]51 - r = 15\% * 51[/tex]

Convert percentage to decimal

[tex]51 - r = 0.15 * 51[/tex]

[tex]51 - r = 7.65[/tex]

And the value of [tex]r\ is\ calculated\ using:[/tex]

[tex]r = 51 -7.65[/tex]

[tex]r = 43.35[/tex]

Hence, Cody's current rent is $43.35 monthly

Answer:

THE ANSWER IS A. I GOT IT RIGHT ON EDMENTUM.

Step-by-step explanation:

A

The equation has one solution, y= 0

Answer:

The Equation for the situation is written as

y = 0.8x

Step-by-step explanation:

y is the price of the ticket with the coupon

x is the original price of the ticket

A movie theater sends out a coupon for 80% off the price of a ticket.

This is expressed algebraically as:

80% × x

80/100 × x

= 0.8x

Therefore, the Equation for the situation is written as

The price of the ticket with the coupon:

y = 0.8x

Answer:

(-3,1),(1,6),(-1,0)

Step-by-step explanation:

Given:

A coat was marked down by 60 percent from its original price of $99.

Rate of sales tax = 8%

To find:

The final cost of the coat after including tax.

Solution:

We have,

Original price = $99

Rate of marked down = 60%

Rate of sales tax = 8%

Marked price = Original price - 60% of original price.

[tex]\text{Marked price}=99-\dfrac{60}{100}\times 99[/tex]

[tex]\text{Marked price}=99-59.4[/tex]

[tex]\text{Marked price}=39.6[/tex]

Now,

Final cost = Marked price + Sales tax

[tex]\text{Final cost}=39.6+\dfrac{8}{100}\times 39.6[/tex]

[tex]\text{Final cost}=39.6+3.168[/tex]

[tex]\text{Final cost}=42.768[/tex]

[tex]\text{Final cost}\approx \$42.77[/tex]

Therefore, the correct option is B.

Answer:

Its B

Step-by-step explanation:

Answer:

Equation 2

is the answer

Step-by-step explanation:

To calculate the time for a full charge, you would divide the time already charged by the amount of charge:

1/3 / 2/5 = 1/3 x 5/2 = 5/6 of an hour for full charge.

You could use 2 and 4 to find the time.

Answer:

b

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

So the symbol 2 means that its greater than or equal to the number.

If 50 + 32.50 is 82.5 than the number is equal to 82.5. (hope this helps)

Answer:

2/3

Step-by-step explanation:

(6 -4) / (2 - (-1)) =(2) / (2+1) = 2/3

Answer:

96 people

Step-by-step explanation:

24÷100 × 400=96

Answer:

Answer: The car will travel 29 1/3 miles in 44 minutes, 40 miles in an hour

Step-by-step explanation:

1 1/2x2 1/4 = 2/3

Multiply that by your minutes (25) and you will get 16.6666

Convert to a fraction and u will get 16 2/3 miles in 25 minutes

40 miles in an hour

Answer:

[tex]\huge\boxed{A.\ -\dfrac{9}{4}+2i}[/tex]

Step-by-step explanation:

The standard form of a complex number:

[tex]z=a+bi\\\\a,\ b\in\mathbb{R}[/tex]

[tex]3i+\left(\dfrac{3}{4}+2i\right)-(3+3i)=3i+\dfrac{3}{4}+2i-3-3i\\\\=\left(\dfrac{3}{4}-3\right)+(3+2-3)i=-2\dfrac{1}{4}+2i=-\dfrac{9}{4}+2i[/tex]

Answer:

the second one

Step-by-step explanation:

6x-15

Answer:

In the equation y = mx + b for a straight line, the. number b is called the y-intercept of the line.

Step-by-step explanation:

Answer:

[tex]Arrival\ Time = 5:30\ pm[/tex]

Step-by-step explanation:

Given

[tex]Current\ Time = 4pm[/tex]

[tex]Speed = 70mph[/tex]

[tex]Distance = 105miles[/tex]

Required

Determine the arrival time

First, we calculate the time taken from Belfast to Dublin using:

[tex]Speed = \frac{Distance}{Time}[/tex]

Substitute values to the expression.

[tex]70 = \frac{105}{Time}[/tex]

Cross Multiply

[tex]70 * Time = 105[/tex]

[tex]Time = \frac{105}{70}[/tex]

[tex]Time = 1.5\ hour[/tex]

Arrival time is then calculated as:

[tex]Arrival\ Time = Current\ Time + Time\ Taken[/tex]

[tex]Arrival\ Time = 4pm + 1.5\ hour[/tex]

[tex]Arrival\ Time = 5:30\ pm[/tex]

Answer:

vanilla thickshake = $5

fruit juice = $3

USING ELIMINATION METHOD

Let the price of vanilla thickshake = x

Let the price of fruit juice = y

Given that a vanilla thickshake is $2 more than a fruit juice.

so

Given that If 3 vanilla thickshakes and 5 fruit juices cost $30.

So the system of equations

[tex]x = 2+y[/tex]

[tex]3x+5y = 30[/tex]

Arrange equation variables for elimination

[tex]\begin{bmatrix}x-y=2\\ 3x+5y=30\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}x-y=2\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:3x-3y=6[/tex]

[tex]\begin{bmatrix}3x-3y=6\\ 3x+5y=30\end{bmatrix}[/tex]

so

[tex]3x+5y=30[/tex]

[tex]-[/tex]

[tex]\underline{3x-3y=6}[/tex]

[tex]8y=24[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}3x-3y=6\\ 8y=24\end{bmatrix}[/tex]

solve 8y = 24 for y

[tex]8y=24[/tex]

Divide both sides by 2

[tex]\frac{8y}{8}=\frac{24}{8}[/tex]

[tex]y=3[/tex]

[tex]\mathrm{For\:}3x-3y=6\mathrm{\:plug\:in\:}y=3[/tex]

[tex]3x-3\cdot \:3=6[/tex]

[tex]3x-9=6[/tex]

[tex]3x=15[/tex]

Divide both sides by 3

[tex]\frac{3x}{3}=\frac{15}{3}[/tex]

[tex]x=5[/tex]

Therefore,

                                              2ND METHOD

Step-by-step explanation:

As a vanilla thickshake is $2 more than a fruit juice.

Given that 3 vanilla thickshakes and 5 fruit juices cost $30.

3(Vanilla thickshakes) + 5(fruit juice) = 30

3(x+2) + 5x = 30

3x+6+5x=30

8x+6=30

8x=30-6

8x=24

x = 3

Thus,

Answer:

15). is done

16).

[tex]slope = \frac{ {y}^{1} - {y}^{o} }{ {x}^{1} - {x}^{o} } \\ = \frac{2 - ( - 2)}{ - 3 - 9} \\ = \frac{4}{ - 12} \\ slope = - \frac{1}{3} [/tex]

Answer: last option. 9.2

Step-by-step explanation:

The pythagoreon theorm tells us, a^2+b^2 = c^2. We can substitute these values, so 7^2 + 6^2 = x^2 => 49+36 = x^2 => root of 85. The root of 85 is 9.219 something so you can round 9.219 to 9.2.

Answer:

1/14

Step-by-step explanation:

Hope this helps!!

Mark brailyest please°°°°°

Answer:

1/14

Step-by-step explanation:

convert 4/7 into 8/14 and 1/2 into 7/14 and then subtract 8/14 and 7/14

Answer:

15

Step-by-step explanation:

450=c*10*3 divide by 10

45=c*3 divide by 3

c=15

Answer:

c = 15

Step-by-step explanation:

(Divide both sides by 30 to find c)

4. 450 ÷ 30 = 15

5. 15 = c

Hope this helps. Even if Maths is not my fortè. :)

Answer:

42 6/7

Step-by-step explanation:

For me what i usually do is i convert the mixed number into a fraction, which for example:

Example and Explanation: Step 1

so since the number 7 is the denominator and the 2 is the mixed number, we can multiply these numbers, 2 x 7 = 14, then we add our numerator which in this case, is one, 14 + 1 = 15, and since the denominator stays the same, our fraction now is 15/7. We do the same for the others:

3 3/4:

3 x 4 = 12 + 3 = 15 = 15/4

5 1/3:

5 x 3 = 15 + 1 = 16 = 16/3

Now that they are all fractions we can finally do the multiplication

Multiplying Fractions: Step 2

Multiplying fractions does not require that the fractions have the same denominator. Instead, the numerators are multiplied with each other and the denominators are multiplied with each other. However, the resulting fraction may not be in lowest terms so it may need to be reduced. So since this is a three step multiplication problem, we will multiply two fractions first.

In this case I chose 15/7 x 15/4. so we just multiply from there, 15 x 15 = 225, and  7 x 4 = 28. So our fraction is 225/28, now we will multiply the other fraction: 225/28 x 16/3 which comes out to 3,600/84. Wow, thats a big number, now its time to..

Reduce: Step 3

This fraction is far too big to be a proper answer, so we will reduce, also known as simplifying.  

Find the Greatest Common Factor (GCF) of 3600 and 84, if it exists, and reduce our fraction by dividing both numerator and denominator by it. GCF = 12,

=3600÷1284÷12=3007

Converting to a mixed number using long division with remainders for 300 ÷ 7.

300÷7=42r6

Therefore:

300/7 = 42 6/7

I am so sorry if i am wrong

Answer:

Step-by-step explanation:

You need to multiply the amount of counselors by 8 to find the total amount to find the number of campers.

Answers: 32, 40

Answer:

32 & 40

I hope it will be useful.

Step-by-step explanation:

Look at the sequence. It follows the result to be 1:8

Thus, you have to multiply the numbers by 8 to get the denominators i.e., 4*8 & 5*8

Answer:

42

we can use trigonometric ratios (cos, sin, tan) to solve this

[tex]cos(54)=AD/20\\20cos(54)=AD\\AD=12\\[/tex]

Using the pythagorean theorum we see that BD is 16

now we can use tan to solve for DC

[tex]tan(28)=16/DC\\DC=16/tan(28)\\DC=30\\30+12=42; AC=42[/tex]

Step-by-step explanation:

Step-by-step explanation:

30.53

loooooooooooooooooooooool

Answer:

We conclude that the number of milligrams of the vitamin in the drink will be: 48 mg

Step-by-step explanation:

The amount of certain Vitamin = 40 mg

Given that a new health drink has 120% of the recommended daily allowance (RDA) for a certain vitamin is 40 MG.

Thus,

The number of milligrams of the vitamin in the drink:

120% of 40

= [120/100] × [40]

= 1.2 × 40

= 48

Therefore, we conclude that the number of milligrams of the vitamin in the drink will be: 48 mg

Answer:On the average, the average low in January for Nuuk is 10/3 or 3.333 times farther below the freezing point of water than the average low for Isla Hoste in August.

Step-by-step explanation:

Answer:

dsdsdsdsdsdssdsddddddddd

Step-by-step explanation:

Answer:

A

Step-by-step explanation: