a unit rate is a rate that compares a quantity to exactly _____ of another quantity ​

Answer:

p=1

Step-by-step explanation:

4p - 3(p + 5) = 3p - 17

Distribute

4p -3p -15 = 3p -17

Combine like terms

p -15 = 3p -17

subtract p from each side

p-p -15 = 3p -17-p

-15 = 2p -17

Add 17 to each side

-15+17 = 2p -17+17

2 = 2p

Divide by 2

2/2 = 2p/2

1 =p

Answer:

Need points! Give brainliest! (a useless mod deleted all my answers for no reason)

Step-by-step explanation:

4p -3p-15 = 3p-17

2 = 2p

p = 1

Answer:

4/5

Step-by-step explanation:

6/30 times she did

aka 1/5

5/5-1/5

=4/5 :)

Answer:

31, 37

Step-by-step explanation:

Let the smaller number be x

Therefore, longer number = x + 6

According to the given information:

x + x + 6 = 68

2x + 6 = 68

2x = 68 - 6

2x = 62

x = 62/2

x = 31

x + 6 = 31 + 6 = 37

Thus, the two parts of 68 are 31 and 37.

Answer:

The second option

Step-by-step explanation:

the range is all the y vaules

Answer:

x=−y+15

Step-by-step explanation:

Answer:

y=1/3-3

Step-by-step explanation:

Answer:

7/20

Step-by-step explanation:

10 blue marbles, 4 black marbles, 5 white marbles, and 6 red marbles = 25 marbles

25-10 = 15

There are 15 not blue marbles

P( not blue ) = not blue marbles / total = 15/25 = 3/5

keep the not blue marble

25-1 = 24 marbles left

15-1 = 14 not blue marbles

P( not blue ) = not blue marbles / total = 14/24 = 7/12

P( not blue, keep, not blue) = 3/5 * 7/12 = 21/60 = 7/20

Answer:

7/20

Step-by-step explanation:

10(blue) + 4(black) + 5(white) + 6(red) = 25(total)

25(total)-10(blue)=15(not blue)

not blue/all = 15/25 = 3/5 = probability that first marble removed are not blue

If we remove 1 marble;

25-1 = 24 (total) , 15-1=14(not blue)

second not blue/all = 14/24 = 7/12 = probability that second marble removed are not blue

probability that both marbles removed are not blue : 3/5. 7/12 = 21/60

21/60 = 7/20

Hope this helps ^-^

Answer:

Well i haven't found the hours out because the problem doesn't specify how many hours you can rent the boat for. I did do the math and you can rent the boat and the paddles for 13 dollars. This means that David can rent the boat for 3 days and he will have 6 dollars left over. I hope this helped you.

Answer:

1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Anything to the power of 0 is 1 and 1 to the power of anything is 1.  In this case it is negative:

(-14^0)^-2

-1^-2

1

Answer:

a set of integers is closed under addition, subtraction, and multiplication because when you add, subtract, or multiply any integers, the result is always an integer.

Step-by-step explanation:

Answer:

m∠BTD and m∠ATP

m∠ATN and m∠RTD

Answer:

ATN & RTD, BTD& ATP

Step-by-step explanation:

To find out which pairs of angles are vertical in the picture let's define it first

Vertical Angles: Opposite Angles

It can't be the first one because the angle vertical to RTP is BTN

ATN & RTD

It isn't the third option since the angle opposite to DTN is RTA

BTD& ATP

Answer:

$0.50

Step-by-step explanation:

According to the information given, in the equation  t=kh, t is the total amount a customer is charged and h is the amount of hot dogs purchased. So, to be able to get the total amount a customer is charged you have to multiply the amount of goods bought by the price of each good. Because of that, K would be the price per hot dog which is $0.50.

Answer:

22.36 feet

Step-by-step explanation:

This situation forms a right triangle, where the wire is the hypotenuse

Use the pythagorean theorem to find the hypotenuse/wire length:

a² + b² = c²

20² + 12² = c²

400 + 144 = c²

544 = c²

22.36 = c

So, the wire is 22.36 feet long

Answer:

(2, - 1 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (- y, x ) , thus

O(- 1, - 2 ) → (2, - 1 )

Answer: 77+e=Perry

Step-by-step explanation:

if you pulg in any number that is exacly what you will do to the number.

Answer:

Step-by-step explanation:

f(x) = 4x + 30

g(x) = x - 1

In order to find (fºg)(5) first find ( f • g)(x)

To find ( f • g)(x) substitute g(x) into f(x) that's for every x in f (x) replace it with g(x)

So we have

( f • g)(x) = 4(x -1) + 30

= 4x - 4 + 30

( f • g)(x) = 4x + 26

To find (fºg)(5) substitute the value of x that's 5 into (f • g)(x)

That's

(fºg)(5) = 4(5) + 26

= 20 + 26

We have the final answer as

Hope this helps you

Answer:

46

Step-by-step explanation:

Answer:

pen: £3

pencil: £0.5

now I'm typing cause it said the answer needs to be at least twenty words long...

Answer:

Step-by-step explanation:

total angle of a triangle=180

52+90+x=180

x=180-(90+52)

x=180-142

x=38

Answer:

38

Step-by-step explanation:

Angle of a triangle is 180

52+90+x=180

x=180-(90+52)

x=180-142

x=38

Answer:

The correct option is (D).

Step-by-step explanation:

A one-to-one function can be defined such the every value of x corresponds to exactly one value of y.

That is:

x₁ → y₁

x₂ → y₂

x₃ → y₃

.

.

.

and so on.

Consider the graph.

From the graph it can be seen that for y = 0 and y = 2 there are multiple x coordinates.

So, the graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.

According to the graph it can be concluded that the graph of three lines is not an one one function because the values of 'y' between 0 and 2 are paired with multiple 'x' values.

Given :

Draw the graph of the three lines in order to determine the function is one-one function or not.

The equation of the line passing through (-5,6) and (-2,0) is given by:

[tex]\dfrac{y-6}{x+5}=\dfrac{0-6}{-2+5}[/tex]

[tex]\dfrac{y-6}{x+5}=\dfrac{-6}{3}[/tex]

[tex]y-6=-2(x+5)[/tex]

y + 2x + 4 = 0    --- (1)

The equation of the line passing through (-2,0) and (2,2) is given by:

[tex]\dfrac{y-0}{x+2}=\dfrac{2-0}{2+2}[/tex]

2y = x + 2   ---- (2)

The equation of the line passing through (2,2) and (4,-2) is given by:

[tex]\dfrac{y-2}{x-2}=\dfrac{-2-2}{4-2}[/tex]

y - 2 = -2(x - 2)

y + 2x = 6   ---- (3)

Now, with the help of these three equations, the graph of the three lines can be plotted. The Graph is attached below.

So, according to the graph it can be concluded that the graph of three lines is not an one one function because the values of 'y' between 0 and 2 are paired with multiple 'x' values.

Therefore, the correct option is D).

For more information, refer to the link given below:

https://brainly.com/question/12465796

Answer:

200n+50x+4000=Total Salary

Step-by-step explanation:

Answer:

0.0000625

Step-by-step explanation:

[tex]10^{-5}=0.00001[/tex]

[tex]6.25*10^{-5}=6.25*0.00001=0.0000625[/tex]

Answer:

So we need to express [tex]6.25 * 10^{-5}[/tex].

What is being used here is scientific notation, and when the exponent is negative, that means the number is less than 1.

As the exponent is -5, we have to move the coma 5 positions to the left (if it was positive we would have done that put to the right), so:

[tex]6.25 * 10^{-5}=0.0000625[/tex]

If you don't understand what does it mean to move the coma to the left, see this example to understand it:

We move it one time from 6.25 --> 0.625

We move it two times from 6.25 --> 0.0625

We move it three times from 6.25 --> 0.00625

We move it four time from 6.25 --> 0.000625

What we are doing is adding 0 to the left and if the exponent was positive, we would add 0 to teh right.

So now we know that [tex]\boxed{6.25 * 10^{-5}=0.0000625}[/tex]

Answer:

Solution:

[tex]\frac{\left(y-1\right)^2}{9}-\frac{\left(x+4\right)^2}{4}=1[/tex]

Step-by-step explanation:

We have the general equation for our up - down facing hyperbola as (y - k)² / b²- (x - h)² / a²  = 1. Let's start listing the properties of this graph -

• Taking a look at the graph we see that the center point of our hyperbola here is (- 4, 1). Therefore (h, k) = (- 4,1).

• Another thing here is our key value a. This is the semi distance from the center to one of the vertices. Here it will be the distance from points (- 4,1) and (- 4,4) or 3 unit difference. Therefore a = 3.

• That leaves us with our asymptotes. Now remember that it will be in the form y = ± b / a. We already know a = 3, so we have to find b. Looking at this graph I can say that another point besides (- 4,1) that lies on the " dotted line " is (- 2, - 2). Calculating the slope of the dotted line would be as follows,

Given: (- 4,1) and (- 2, - 2)

Slope = - 2 + 4 / - 2 - 1 = 2 / 3

We have the equation y = 2 / 3x. Therefore b = 2. Let's substitute to receive our equation...

h = - 4, k = 1, b = 2, a = 3

(y - 1)² / (3)²- (x + 4)² / (2)²  = 1

(y - 1)² / 9 - (x + 4)² / 4  = 1 ~ your solution is the last one, option d

[tex]:\implies\sf\:\dfrac{4a^3}{a^4+x^4}+\dfrac{8a^7}{x^8-a^8}[/tex]

[tex]:\implies\sf\:\dfrac{4a^3(x^8-a^8)+8a^7(a^4+x^4)}{(a^4+x^4)(x^4-a^4)(x^4+a^4)}[/tex]

[tex]:\implies\sf\:\dfrac{4a^3x^8-4a^{11}+8a^{11}+8a^7x^4}{(a^4+x^4)^2(x^4-a^4)}[/tex]

[tex]:\implies\sf\:\dfrac{4a^3x^8+4a^{11}+8a^7x^4}{(a^4+x^4)^2(x^4-a^4)}[/tex]

[tex]:\implies\sf\:\dfrac{4a^3(a^8+2a^4x^4+x^8)}{(a^4+x^4)^2(x^4-a^4)}[/tex]

[tex]:\implies\sf\:\dfrac{4a^3\tt{(a^4+x^4)^2}}{{\tt(a^4+x^4)^2}(x^4-a^4)}[/tex]

[tex]:\implies\boxed{\bf{\purple{\dfrac{4a^3}{(x^4-a^4)}}}}[/tex]

Answer:

Solution : Parabola

Step-by-step explanation:

As you can see only one variable is square in this situation, so it can only be a parabola. We can prove that it is a parabola however by converting it into standard form (x - h)^2 + (y - k)^2.

[tex]y^2-1=4\left(x-7\right) = y^2-1=4\left(x-7\right)[/tex]

Respectively it's properties would be as follows,

[tex]\left(h,\:k\right)=\left(\frac{27}{4},\:0\right),\:p=1[/tex]

Answer:

False

Step-by-step explanation:

f(x)=4x^3-12x^2-x+15

Using synthetic division

-2     4  -12   -1     15

            -8   40    -78

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

       4   -20  39  -63

Since this is not zero, this is not a lower bound

Answer:

[tex]\Large \boxed{\mathrm{False}}[/tex]

Step-by-step explanation:

[tex]\sf f(x)=4x^3-12x^2-x+15[/tex]

The zeros of the function is the values at which the function crosses the x-axis.

The value -2 is not a lower bound for the zeros of the function.

Answer:

b:chockelet

Step-by-step explanation:

Answer:

odd numbers

Step-by-step explanation:

you can see that end with odd numbers 1 and three so they can best be described  as odd numbers

HOPE YOU FIND IT USEFUL

x equals negative 8 that's it

Answer:

-8

Step-by-step explanation:

3x+5-x=x-3

collect like terms

3x-x-x=-3-5

x=-8

Simplest form:

7 x^3 − 5 x^2 + x + 2