Function p gives the perimeter of an equilateral triangle of side length s. It is represented by the equation p(s)=3x

a. What does P(s)=60 mean in this situation?

b. Find a value of s to make the equation P(s) = 60 true.

Answers

Answer 1

Answer:

A) p(s) means that the perimeter of the triangle is 60 units.

B) A value to make the equation true is s = 20

Step-by-step explanation:

In the equation p(s) = 60, 60 represents the perimeter of the equilateral triangle.

To find a value of s that makes the equation p(s) = 60 true, plug in 60 as p(s) and solve for s.

p(s) = 3s

60 = 3s

20 = s

So, s = 20 will make the equation true


Related Questions

A water pipe has a circular cross section of radius 0.75 cm. Water flows through the pipe at a rate of 16 cm/s.
Calculate the time taken for 1 litre of water to flow through the pipe.

Answers

Step-by-step explanation:

volume of water flows through the pipe per second= π r² h = 22/7 × ( 3/4)² × 16

= 22/7 × 9/16 × 16

= 22/7 × 9

= 3.14 × 9 = 28.26 cm ³= 28.26/ 1000= 0.02826 litre

0.02826litre = 1 second

1 litre = 1 / 0.02826 = 100000/2826

= 35 .38 seconds

answer = 35.38 seconds

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you ☺️.

Two secretarial students, Agyemang and Ike
are used Typewriter dealers. They found that the
length of time before a major repair is required on
Typewriter sold is normally distributed with a mean
equal to 11 months and
Standard deration & 2
montes. If the dealers wand only s% of the
Cars to fail before the end of the guarantee
period, for how
many
minth should the Typewriters
be guaranteed
how me
,​

Answers

Step-by-step explanation:

22

A thermally insulated vessel contains

150 g of water at 0°C. Then the air from the

vessel is pumped out adiabatically. A

fraction of water turns into ice and the rest

evaporates at 0°C itself. The mass of

evaporated water will be closest to:

(Latent heat of vaporization of

water = 2.10 x 106 Jkg - and Latent heat of

Fusion of water = 3.36 x 105J kg-1)

Solve the following problem and choose the best answer.
Question
Favian received a $100 gift card to a clothing store. Using only the gift card, he was able to purchase n
sweaters that cost $32 each and 1 belt for $20. If there was no tax on the sweaters and belt, which of the
following must be true?
O 80 : n> 32
O 32 :n> 80
0 80 : n < 32
O 100 – 32n< 20

Answers

Answer:

80 : n < 32

Step-by-step explanation:

100-20=80

Another one the last one ASAP

Answers

Answer:

13m²

Step-by-step explanation:

Area=6.5*4÷2=13

Answer:

13m

Step-by-step explanation:

1/2 × bas × perpendicular height

Can help find the answer , what the increasing interval and decreasing interval. In interval notations?

Answers

Answer:

increasing on intervals

Step-by-step explanation:

cause the intervals come from a negative 2 aNd are going upwards in which the become positive

hope I helped

Question 4
There are 15 members in a bicycle club this fall. By next summer, Ming hopes the number of members will be 140% of this number. What is
Ming's goal for the number of members next summer?

Answers

Ming's goal for the projected number of members next summer is the product of percentage increase and the current number of members, which is 21

Given the Parameters :

Present number of members in club = 15

Expected percentage rise = 140%

The projected number of members next summer can be calculated thus :

Current number × Expected percentage rise

15 × 140%

15 × 1.4 = 21

Therefore, Ming expects to see the number of members rise to 21 next summer.

Learn more :https://brainly.com/question/18796573

Answer:

It's 36 :)

Step-by-step explanation:

Decrease 1428g by 38.5%​

Answers

Answer:

1428 (1-0.385) = 878.22

Step-by-step explanation:

C The triangles in this picture are similar. Find the height of the tree.

Answers

Answer:

Please find attached pdf

Step-by-step explanation:

PLEASE HELP ITS URGENT
DONT GUESS
WILL MARK BRAINLIEST

Answers

Answer:

[tex]468 {in}^{2} [/tex]

Step-by-step explanation:

see attached image, surface area is the area of each surface added together

Tiy deposit $500 in a savings account that earns 7% interest compounded annually.

Answers

500(1+.07/1)^1t assuming t=1 year here the answer would be 535

Derwin used 6 gallons of paint to paint two rooms. He used 4 gallons to paint one of the rooms. The equation g + 4 = 6 can be used to find the number of gallons g he used to paint The other room. How many gallons of paint did Derwin use to paint the other room?

Answers

Answer:

He used 2 gallons to paint the other room.

Step-by-step explanation:

g=2

Because 2+4=6

If you subtract 4 from 6 it equals 2.

Hopefully it helps.

Please help with this I am very stuck because I am horrible at math

Answers

Answer:

20

Step-by-step explanation:

Milton spilled some ink on his homework paper. He can't read the coefficient of $x$, but he knows that the equation has two distinct negative, integer solutions. What is the sum of all of the distinct possible integers that could be under the ink stain

Answers

Answer:

[tex]Sum = -81[/tex]

Step-by-step explanation:

See the comment for complete question.

Given

[tex]c = 36[/tex] ----- Constant

No coefficient of x^2

Required:

Determine the sum of all distinct positive integers of the coefficient of x

Reading through the complete question, we can see that the question has 3 terms which are:

x^2 ---- with no coefficient

x ---- with an unknown coefficient

36 ---- constant

So, the equation can be represented as:

[tex]x^2 + ax + 36 = 0[/tex]

Where a is the unknown coefficient

From the question, we understand that the equation has two negative integer solution. This can be represented as:

[tex]x = -\alpha[/tex] and [tex]x = -\beta[/tex]

Using the above roots, the equation can be represented as:

[tex](x + \alpha)(x + \beta) = 0[/tex]

Open brackets

[tex]x^2 + (\alpha + \beta)x + \alpha \beta = 0[/tex]

To compare the above equation to [tex]x^2 + ax + 36 = 0[/tex], we have:

[tex]a = \alpha + \beta[/tex]

[tex]\alpha \beta = 36[/tex]

Where: [tex]\alpha, \beta <0[/tex] and [tex]\alpha \ne \beta[/tex]

The values of [tex]\alpha[/tex] and [tex]\beta[/tex] that satisfy [tex]\alpha \beta = 36[/tex] are:

[tex]\alpha = -1[/tex] and [tex]\beta = -36[/tex]

[tex]\alpha = -2[/tex] and [tex]\beta = -18[/tex]

[tex]\alpha = -3[/tex] and [tex]\beta = -12[/tex]

[tex]\alpha = -4[/tex] and [tex]\beta = -9[/tex]

So, the possible values of a are:

[tex]a = \alpha + \beta[/tex]

When [tex]\alpha = -1[/tex] and [tex]\beta = -36[/tex]

[tex]a = -1 - 36 = -37[/tex]

When [tex]\alpha = -2[/tex] and [tex]\beta = -18[/tex]

[tex]a = -2 - 18 = -20[/tex]

When [tex]\alpha = -3[/tex] and [tex]\beta = -12[/tex]

[tex]a = -3 - 12 = -15[/tex]

When [tex]\alpha = -4[/tex] and [tex]\beta = -9[/tex]

[tex]a = -4 - 9 = -13[/tex]

At this point, we have established that the possible values of a are: -37, -20, -15 and -9.

The required sum is:

[tex]Sum = -37 -20 -15 - 9[/tex]

[tex]Sum = -81[/tex]

help me i need help pls pls pls

Answers

Answer:

B.…….................

pls help. whats 6¹⁵÷6¹⁰=?​

Answers

Answer:

6^5 or 7776

Step-by-step explanation:

When you divide exponentials you minus the exponents. 15-10=5

6^5 = 7776

Answer:

6^5 = 7776

Step-by-step explanation:

6^15 /6^10 = 6^(15-10) = 6^5 = 7776

Two rectangular picture frames have the same area of 45 square inches but have different side lengths. Frame A has a length of 6 3/4 inches, and Frame B has a length of 7 1/2 inches.


Without calculating, predict which frame has the shorter width. Explain your reasoning.


Find the width that you predicted to be shorter.

Answers

Answer:

B, 6 inches

Step-by-step explanation:

The formula for area is width * height. If the area is the same in both times, increasing height means you must be decreasing width. B has a taller height so must have a shorter width.

7 and 1/2 = 15/2

45 / (15 / 2) = 45 * 2 / 15 = 6 inches

What is 74x56
Help fast I need it
Me will give brainliest
Thx in advance

Answers

Answer:

4144

Step-by-step explanation:

hope this helps

Answer:

the answer is 4,144

Step-by-step explanation:

Three hundred new ones cost $2100. what would be the cost of 120 new ones​

Answers

Answer:

840

Step-by-step explanation:

120 is 40% of 300, and 840 is 40% of 2100 is 840.

Answer:

840

Step-by-step explanation:

In ΔOPQ, PQ = 17, QO = 9, and OP = 15. Which statement about the angles of ΔOPQ must be true?

Answers

Answer:

All angles are different.

Internal angles can be acute, obtuse, or right angle.

The smallest side is opposite to the smallest angle and the longer side is opposite to the larger angle.

Step-by-step explanation:

Given - In ΔOPQ, PQ = 17, QO = 9, and OP = 15.

To find - Which statement about the angles of ΔOPQ must be true?

Proof -

As given,

In ΔOPQ, PQ = 17, QO = 9, and OP = 15.

As all the sides of the given triangle is different, So the given triangle is a Scalene triangle.

Now,

We know that , In Scalene triangle -

All sides are different.

All angles are different.

Internal angles can be acute, obtuse, or right angle.

The smallest side is opposite to the smallest angle and the longer side is opposite to the larger angle.

Smallest angle: ∠P

Opposite shortest side.

Middle angle: ∠O

Opposite middle side.

Largest angle: ∠Q

Opposite longest side.

Therefore:

m∠P<m∠O<m∠Q

Less than symbol goes from smallest to largest

Here's a better Explanation!!!!!!

What is the range of function g if g(x) = f(x) + 3

Answers

Answer:

g(x)=f(x)

f(x)=y

y+3=0

y=-3

the range of g(x) is y=-3

The range of g(x) is y=-3. The range of function is found  by equating the given function with the f(x);

What exactly is a function?

A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.

The range of function is found  by equating the given function with the f(x);

[tex]\rm g(x)=f(x)[/tex]

The given function is represented as;

[tex]\rm y=f(x)\\\\y+3=0\\\\y=-3[/tex]

The range of g(x) is y=-3

Learn more about the function, refer;

https://brainly.com/question/5245372

#SPJ2

On Monday Mrs. Wise bought 3 lbs of apples at $4 per lb. On Tuesday, apples were on sale for 20% off so she bought another 5 lbs. What was the price of apples on Monday?

Answers

Answer:

$12 on Monday

$16 on Tuesday

$28 in total

Step-by-step explanation:

Multiply the number of pounds by the cost per pound on Monday:

3 * 4 = $12 on Monday

If you want to find the price on Tuesday as well (I know it doesn't ask for it) you can calculate 20% of 4 by multiplying:

4 * 0.2 = 0.80

Next, subtract the 20% from the normal price:

4 = 0.80 = 3.20

Finally, multiply the discounted price by the number of pounds she bought:

3.20 * 5 =  $16 on Tuesday

You can find the total of both Monday and Tuesday by adding the two together:

12 + 16 = $28.00 in total

Need help on this please any one

Answers

if you use y=mx+b that should help you get it
Try the app Desmos. Basically a graph and you type t he equation in.

What is sum of the vectors, (4.-5) and (10,2)?

(-6, 7)
(14,-3)
(14,7)
(15,6)

Answers

Answer:

(14,-3)

Step-by-step explanation:

To sum vectors, simply sum values at each position.

The sum is (4+10, -5+2) = (14,-3)

it's been a while since i learned this and i think it'll be (14,-3).

Amanda went to the store to purchase ink pens. She found three kinds of pens. The first cost $4 each; the price of the second kind was 4 for $1; and the cost for the third kind was 2 for $1. She bought 20 pens and she bought at least one of each kind. (It is possible to buy only 1 of the pens that are "4 for $1" or "2 for $1".) The cost was $20. When she got back to her office, Amanda decided to turn this into a math problem for me. She asked: how many of each kind did I buy?

Answers

Answer:

Amanda buy first kind of pen = 3

Amanda buy second kind of pen = 2

Amanda buy third kind of pen = 15

Step-by-step explanation:

Given - Amanda went to the store to purchase ink pens. She found three    

            kinds of pens. The first cost $4 each; the price of the second kind

            was 4 for $1; and the cost for the third kind was 2 for $1. She bought

            20 pens and she bought at least one of each kind. (It is possible to

            buy only 1 of the pens that are "4 for $1" or "2 for $1".) The cost was

            $20.

To find - When she got back to her office, Amanda decided to turn this into

              a math problem for me. She asked: how many of each kind did I

              buy?

Proof -

Let Amanda buy first kind of pen = x

                      second kind of pen = y

                           third kind of pen = z

As given,

She bought total pen = 20

⇒x + y + z = 20          ...............(1)

Now,

As given,

cost for first kind pen = $4 for 1 pen

As she bought x pens of first kind , so

Cost of x pens of first kind = $4x

Now,

The price of the second kind was 4 for $1

⇒Cost of second kind = $[tex]\frac{1}{4}[/tex] for 1 pen

As she bought y pens of send kind , so

Cost of y pens of second kind = $[tex]\frac{1}{4}y[/tex]

Now,

The price of the third kind was 2 for $1

⇒Cost of third kind = $[tex]\frac{1}{2}[/tex] for 1 pen

As she bought z pens of send kind , so

Cost of z pens of third kind = $[tex]\frac{1}{2}z[/tex]

Now,

As given, The cost was $20

⇒4x + [tex]\frac{1}{4}y[/tex] + [tex]\frac{1}{2}z[/tex] = 20

⇒16x + y + 2z = 80             .....................(2)

∴ we get 2 equations

x + y + z = 20                   .....................(1)

16x + y + 2z = 80             .....................(2)

Now,

Subtract equation (1) from equation (2) , we get

16x + y + 2z  - ( x+ y + z )= 80 - 20

⇒16x + y + 2z - x - y - z = 60

⇒15x + z = 60

⇒z = 60 - 15x

Now,

Put the value of z in equation (1) , we get

x + y + 60 - 15 x = 20

⇒ y - 14x = 20 - 60

⇒y - 14x = -40

⇒14x - y = 40

⇒y = 14x - 40

Now,

we get

z = 60 - 15x

y = 14x - 40

As given

she bought at least one of each kind

it means x > 1, y > 1, z > 1

Now,

If x = 1, then y = 14 - 40 = -26

Not possible

If x = 2 , then y = 14(2) - 40 = -12

Not possible

If x = 3, then y = 14(3) - 40 = 2 and z = 60 - 15(3) = 15

Possible.

If x = 4,  then y = 14(4) - 40 = 16 and z = 60 - 15(4) = 0

Not Possible.

If x = 5, then y = 14(5) - 40 = 30 and z = 60 - 15(5) = -15

Not Possible.

∴ we get

x = 3, y = 2, z = 15

Amanda buy first kind of pen = x = 3

Amanda buy second kind of pen = y = 2

Amanda buy third kind of pen = z = 15

If point N, with coordinates (1, 4) is translated to point N', with coordinates (-1,-1).
which translation did N undergo?
one unit left and three units down
two units left and three units down
two units left and five units down
one unit left and five units down

Answers

it should be 2 units left and 4 units up

30 POINTS TO WHOEVER GETS IT. WILL MARK BRANLIEST. A lever is four meters long. A load of 1,200 newtons is placed one meter from the fulcrum. The force on the 3 meter arm
that will make it balance is
In order to lift the load above, a work input of 1500 Nm is applied. What is the efficiency of this lever?

Answers

Answer:  

Your efficiency is 80%. N is 400

Step-by-step explanation:

I hope I helped :)

Would appreciate Brainliest ;)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Have a lovely day and good luck with your school work!

I believe the answer is 400, 80%

have a blessed day!

What Is The Estimated Weight Of Three Containers Weighing 1.656 kg each? (Math 5 Quarter 2, Week 5) I Need A Nice And Clear Answer

Answers

Answer:

[tex]Estimate = 5.0kg[/tex]

Step-by-step explanation:

Given

[tex]Weight = 1.656kg[/tex]

Required

Determine the estimated for 3 containers

Since the weight of all containers are the same, we simply multiply the given weight by the number of containers.

i.e.

[tex]Estimate = Number\ of\ containers * Weight\ of\ each[/tex]

[tex]Estimate = 3 * 1.656kg[/tex]

[tex]Estimate = 4.968kg[/tex]

[tex]Estimate = 5.0kg[/tex] --- approximated

So, the estimated weight is 5.0kg

Changed 19/4 into a mixed number (fraction).

Answers

Answer:

Step-by-step explanation:

Did you mean: Change 19/4 into a mixed number (fraction).

How do you turn 19/4 into a mixed number?

As an improper fraction. (numerator larger than denominator): 19/4 = 19/4

As a mixed number (mixed fraction) (a whole number and a proper fraction, of the same sign): 19/4 = 4 3/4

As a decimal number: 19/4 = 4.75.

As a percentage: 19/4 = 475%

4 and 3/4

16/4 equals 4; then 19/4-16/4 = 3/4, so that's left over.

Subtract. (12+8i)−(7+4i) Enter your answer in the box.

Answers

Answer:

5+12i

Step-by-step explanation:

So 12-7 = 5 and 8i+4i=12i and that equals 5+12i

(12 + 8i) -(7 +4i)
(12 - 7) + (8i - 4i)
5 + 4i

please answer giving BRAINLIEST

Answers

Answer:

x=7

Step-by-step explanation:

You

Have

X-ray

Vision

YhXr

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