The sum of three consecutive numbers is 72.
What IS the smallest of these numbers?

Answer:

-6

Step-by-step explanation:

f(0) =  5(0) -6

f(0) = -6

Answer:

Give me some hint please

The rate of change is 16, the equation is y = 16x, the (1,16) represents that the cost of 1 ticket is $16 and by y = 16x it is clear that it is a direct proportion.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

The table of tickets and their cost is given,

The graph of it has been plotted below,

The rate of change or slope = (48 - 32)/(3 - 2) = 16

The equation is y = mx + c where m is the slope and it is 16

So, y = 16x + c

Now substitute (2,32)

32 = 2(16) + c

c = 0

So the equation becomes y = 16x

Since y = kx is a direct proportional equation so it will be also direct proportionally.

In (1,6) , 1 = number of ticket , 16 = cost of ticket so it is $16.

Hence "The rate of change is 16, the equation is y = 16x, the (1,16) represents that the cost of 1 ticket is $16 and by y = 16x it is clear that it is a direct proportion".

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Answer:

5 $3.00

Step-by-step explanation:

For every 5 apples, the cost is $3.00

Hello There! :)

3 Negative numbers that are less than -1:

And it goes on and on for ever. Hope it helps you! :)

Do ask me if you have any question.

~An excited gal

[tex]MagicalNature[/tex] here to help

Answer:

-4,-9,-10

Step-by-step explanation:

Answer:

When the base is less than 1 it's Decay

When the base is greater than 1 it's Growth

Answer:

No solutions

Step-by-step explanation:

We can go through this one step at a time to figure out what M is equivalent to. First, let's write out our whole equation:

3 + 2M = 10 - 6 + 2M

I always like to combine like terms first. It looks like there are two like terms on the right side of our equation... 10 and -6. I can combine those to get 4. Now I have the following equation:

3 + 2M = 4 + 2M

Now, let's remove 2M from both sides.

3 + 2M - 2M = 4 + 2M - 2M

3 ≠ 4

We got an answer of 3 = 4, which is not true (that's why I put a ≠ between them instead of a =). What do we do with this information? Well, since we got an untrue statement as an answer, we know that no number is equivalent to M, or, there are no solutions.

Hopefully that's helpful! :)

Answer:

There are no values of  M  that make the equation true.

Step-by-step explanation:

Answer:

The most she can spend on each blank shirt is $5.50.

Step-by-step explanation:

In order to set up the inequality, we need to write an expression for the total cost of each shirt wherein the price of each blank shirt is "x". Tina needs to buy 12 shirts and there is an additional charge of $2.75 for each logo. The total cost needs to be less than or equal to $99.

This gives us 12 * (x + 2.75) ≤ 99

We can then distribute:

12x + 12 * 2.75 ≤ 99

12x + 33 ≤ 99

Then subtract 33 from both sides:

12x ≤ 66

And finally divide by 12 on both sides:

x ≤ 5.5

Answer:

Step-by-step explanation:

12x + 2.75*12 < 99             Combine 12 * 2.75

12x + 33 < 99                     Subtract 33 from both sides

12x < 99 - 33                      Combine

12x <66                               Dive by 12

x < 66/12

x < 5.50

The very most she can spend is 5.50 on each shirt. Actually it should be 5.49 which will be less than 99. It will come to 65.88 which is just 12 cents less than 99, but it answers the problem. The problem does not use less than or equal which would mean that 99 is the answer ≤

Answer:

6 pounds of coffee

Step-by-step explanation:

Given Teresa's $90 gift card for a coffee store, and a balance of $38.46 on her card:

Subtract the remaining balance of $38.46 from the $90 original balance on Teresa's card, to determine how much she spent on coffee.

$90.00 - $38.46 = $51.54

Next, divide the amount that she spent at the coffee store by the $8.59 cost per pound to find out how many pounds of coffee she purchased from the store:

$51.54 ÷  $8.59 per pound = 6 pounds

Therefore, she bought 6 pounds of coffee worth $51.54 from the store.

Answer:

(3.5,3)

Step-by-step explanation:

Midpoint= (x¹+x²/2, y¹+y²/2)

x¹=4

x²=3

y¹=0

y²=6

Put your values into the formula

(4+3/2,0+6/2)

(7/2, 6/2)

(3.5,3)

Answer:

x=121

Step-by-step explanation:

Answer:

x = 121°

Step-by-step explanation:

180 - 115 = 65°

The angle beside 115° is 65°.

A full circle is 360° so

360 - 304 = 56°

Add the two angles

65 + 56 = 121°

Subtract it to 180° to find the other angle

180 - 121 = 59°

Now subtract again to 180° to find the angle in the other side

180 - 59 = 121°

Answer:

x = 2

y = -7

Step-by-step explanation:

First, we see that all the terms in the first equation can be divided by 7:

-x + y = - 9

Then we solve for x by adding adding x and 9 to both sides:

-x + x + y + 9 = -9 + 9 + x

it cancels out to:

y + 9 = x

Now, replace x in the second equation with (y + 9):

28(y + 9) - y = 63

Now simplify:

28(y) + 28(9) - y = 63

27y + 252 = 63

27y = 63 - 252

27y = -189

y = -7

Plug in the value for y in the equation for x:

y + 9 = x

-7 + 9 = x

x = 2

Answer:

-7x +7y = -63(i)

28x -y = 63 (ii)

Divide eq(i) by 7

-x + y = -9 (iii)

28x -y= 63 (ii)

Add (iii) and ii

-x + y = -9

28x - y = 63

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

-x +28x +0 = -9 +63

27x = 54

●x = 2

Put x=2 in any eq..

Lets put in eq[i]

-7 (2) + 7y =-63

-14 + 7y = -63

7y = -63 +14

7y=49

●y=7

BRAINLIST PLS

Answer:

7/13

Step-by-step explanation:

You would first have to turn the fraction into an improper fraction to find the reciprocal of the fraction!

1 6/7 = 13/7

Reciprocal means reverse, so reverse the improper fraction of 13/7 to get 7/13!

I hope this helps you!

Answer:

  (d)  extrapolation, because a key that is 12 keys from middle C is outside the data set

Step-by-step explanation:

Any prediction made outside the data set is called "extrapolation." The key 12-keys out is outside the domain 0–8 of the data set.

Answer:

(d)  extrapolation, because a key that is 12 keys from middle C is outside the data set

Step-by-step explanation:

edg 2022

Answer: The number is 57

Step-by-step explanation:

Lemme tell you , We dont know the number , so we imagine it as x

so the question says one third of a number , so 1 third is 1 divided by 3 and if we imagene the number as x , we can write x/3 .

So x/3 +7 = 26 , as the equation says one third of a number plus 7 is equal to 26.

So write the lcm of 3 and 7 and then cross multiply , and subtract . you get      

x = 57 , and we imagined x as the number so if x is 57 , so the number we have to find is also 57 . Done Easy .

Answer:

3.996x10

Step-by-step explanation:

7.9x108 = 853.2

7.53×108 = 813.24

853.2-813.24=39.96

not sure how many sig figs there are supposed to be though

3.996x10 has 4 sig figs

Answer:

2/3 meters

Step-by-step explanation:

Work=Force*Distance

we can also say:

Distance=Work/Force

Distance=100j/150N

D=2/3 meters

The distance she moves her weight is 2/3 meters.

Energy, which is observable in the execution of labor as well as in the form of heat and light, is the quantitative quality that is transferred to a body or to a physical system in physics.

Energy is a preserved resource according to the rule of conservation of energy, energy can only be transformed from one form to another and cannot be created or destroyed.

Given, Kim Kardashian weight lifts 150N.

Her muscles use 100J of energy.

We know work = force×distance.

∴ 100 = 150×distance.

distance = 100/150.

distance = 2/3 meters.

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Answer:

10

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

You're doing well!  The parts of the table you've done are correct.

For x = 1, you switch to the second part of the function rule (because that part says to use it if [tex]x \ge 1[/tex].

x =1 :   6 - 2(1) = 4   (1, 4)

x = 2:  6 - 2(2) = 2   (2, 2)

x = 3:  6 - 2(3) = 0   (3, 0)

x = 4:  6 - 2(4) = -2  (4, -2)

Each of the parts of the function rule graph as pieces of straight lines.  The first part will be a straight line through points (-4, 1), (-3, 0), (-2, 1), (0, 3) but that part of the graph stops at point (1, 4).  Point (1, 4) is on BOTH parts of the graph, so the two lines connect at that point.

Answer:

Step-by-step explanation:

[tex]\dfrac 52 \cdot x = 1\\\\\implies 5x = 2\\\\\implies x = \dfrac 25[/tex]

Answer:

5/2

Step-by-step explanation:

30 is the area of the rectangle changing at the instant when the other side is 12 cm and increasing at 3cm per minute

The area of Rectangle is length times of width.

Given,

A rectangle has one side of 10cm

We need to find how fast is the area of the rectangle changing at the instant when the other side is 12 cm  and increasing at 3cm per minute

This can be written as A=10x

Now differentiate with respect to t.

dA/dt=10 dx/dt

increasing at 3cm per minute

dx/dt=3

dA/dt=10 (3)

dA/dt=30

Hence 30 is the area of the rectangle changing at the instant when the other side is 12 cm and increasing at 3cm per minute

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Answer:

4

Step-by-step explanation:

rule 1 positive + positive= positive

rule 2 negative plus negative = negative

Answer:

the answer is 14

Step-by-step

multiply 2x7

Answer:

4 duhh... Ur kidding me??

Answer:

22 because 2+2

Step-by-step explanation:

if we put 2 near 2 it will be 22 so the answer is 22

Answer:

All the prime numbers between 50 and 75 are 53, 59, 61, 67, 71 and 73.

Step-by-step explanation:

Answer:

51 53 57 59 61 69 71 73 these are the prime numbers

Answer:

The answer is 3

Step-by-step explanation:

It’s 3 because with dilation your multiplying points to make a shape bigger, so multiply all the numbers by 3 and when you do that you woulda gotten what’s shown in B

Answer:

x=13

Q=30

P=126

R=24

Step-by-step explanation:

To find x put them all into an equation like this:

(4x-22)+(10x-4)+(x+11)=180 (we get 180 because all three angles of any triangle always equal 180)

calculate and you'll get x=13.

then to find each angle just put 13 in place of x

4(13)-22=30

10(13)-4=126

(13)+11=24

=》The answer is -61/3 = -20.333

Steps are in the attachment.

Note :-

=》The LCM is 3.

_______

Hope it helps ⚜ :))