The perimeter of an equilateral triangle is 63 inches. If the length of each side is (4x-3), find the value of x. Equilateral means all sides are equal.

Answers

Answer 1

Answer:

Step-by-step explanation:

3*(4x - 3) = 63                         Divide both sides by 3

4x - 3 = 63/3

4x - 3 = 21                                Add 3 to both sides

4x = 21 + 3

4x = 24                                    Divide by 4 on both sides

4x/4 = 24/4

x = 6

Note: The perimeter is the sum of all three sides. One side is 4x - 3 All 3 sides must be 3*(4x - 3)


Related Questions

A blood sample has 50,000 bacteria present. a drug fights the bacteria such that every hour the number of bacteria remaining, r(n), decreases by half. If r(n) is an exponential function of the number, n, of hours since the drug was taken, find the bacteria present four hours after administering the drug.

Answers

Answer:

3125 bacteria

Step-by-step explanation:

Let r(0) be the initial amount of bacteria. Every hour, r(n) decreases by half. So, after one our new value for r(n) = (1/2)r(0). After two hours, r(n') =  (1/2)r(n) =  (1/2)(1/2)r(0) = (1/2)²r(0).

After n hours, r(n) = (1/2)ⁿr(0)

So when n = 4 hours and r(0) = 50,000, then

r(4) = (1/2)⁴r(0)

r(4) = (1/2)⁴ × 50,000

r(4) = (1/16) × 50,000

r(4) = 3125

So, after 4 hours, we have 3125 bacteria present.

Solve each of the following equations

Answers

Look at the photo I’ve attached

Someone help and plz make sure it’s right plz! :)

Answers

Answer:

-21/4

Step-by-step explanation:

slope = y2-y1/ x2-x1

-18 - 3 / 17-13 = -21/4

Enter the value for that makes the given equation true.

20−5(6+4)=4−6

Answers

Answer:

hi, there is no variable

please help (no links)

Answers

Answer:

EZ Excavation: y = 24.5x

Happy Hauling Service: y = 25x

Step-by-step explanation:

✔️Equation for EZ Excavation:

This can be written in slope-intercept form, y = kx

Where k is the unit rate/slope/constant of proportionality

y = cost

x = dirt

Thus,

k = y/x

Using any given pair of values from the table, say, (8, 196),

k = 196/8

k = 24.5

To write the equation, substitute k = 24.5 into y = kx

Thus:

y = 24.5x

✔️Equation for Happy Hauling Service:

This can be written in slope-intercept form, y = kx

Where k is the unit rate/slope/constant of proportionality

y = cost

x = dirt

Thus,

k = y/x

Using the coordinate of any point on the line, say (1, 25),

k = 25/1

k = 25

To write the equation, substitute k = 25 into y = kx

Thus:

y = 25x

What is 23 fl oz = ______ c

Answers

Answer:

2.875c

Step-by-step explanation:

Which characteristics best describe an acute isosceles triangle

Answers

Answer:

answer is A i and iv

two sides meet at 90°

two sides are equal in lenght

Simplify the radical expression.

√20c^6 d^5

Answers

Answer:

the first and second pictures are answer of √5c^6 d^5

the third and fourth pictures are answer of √20c^6 d^5

I hope this helps a little bit .

in the sequence: 67, 55, 46, 34, 25,…, what number should come next?
a) 16
b) 13
c) 15
d) 19

Answers

Answer:

b) 13

Step-by-step explanation:

67 - 55 = 12

55 - 46 = 9

46 - 34 = 12

34 - 25 = 9

25 - x = 12

rearrange that so,

25 - 12 = x

x = 13

Answer:

b) 13

Step-by-step explanation:

67 - 12 = 55

55 - 9 = 46

46 - 12 = 34

34 - 9 = 25

pattern: subtract 12, subtract 9

the pattern tells us to subtract 12, so take take 25 and subtract 12 from it:

25 - 12 = 13

For ΔJNM, the following facts are given: KL || MN
KL = 8 ft MN = 10 ft JL = 3.2 ft MK = 1.5 ft
Answer the following:
a) Is ΔJNM ~ ΔJLK? Support your answer with a postulate or theorem. b) Find the length of JN. Show all your work.
c) Find the length of JK. Show all your work.
d) What is the area ratio of ΔJNM to ΔJLK? Show all your work.

Answers

Answer:

I havn't gotten c and d yet, but:

a) They are similar because of the Angle Angle Theorem

b) JN=4ft

in the sequence 113, 93, 77, 65, 57,…, what number should come next?
a) 55
b) 54
c) 53
d) 51

Answers

Your answer is:

C)  53

THANK YOU!!

Sidhdi

The total value of the coins is 3.88. Anita has 4 more nickels than pennies and 2 more than 4 times the number of quarters than pennies. How many of which coins does she have?

Answers

Answer:

See explanations below

Step-by-step explanation:

Let the amount of nickel be x

Let the amount of pennies be y

Let the amount of quarters be z

If the the total value of the coins is 3.88, then;

x+y+z = 3.88 .... 1

If Anita has 4 more nickels than pennies, then;

x = y + 4 ... 2

If she has 2 more than 4 times the number of quarters than pennies, then;

y = 2 + 4z

4z = y-2

z = (y-2)/4 ...3

Substitute 2 and 3 into 1

y+4+y+(y-2)/4 = 3.88

4y+16+4y + y-2 = 15.52

9y + 14 = 15.52

9y = 15.52 - 14

9y = 1.52

y = 1.52/9

y = 0.17

Since x = y + 4

x = 0.17+4

x  = 4.17

z = y-2/4

z = 0.17-2/4

z = -1.83/4

z = - 0.46

help answer both plz!

Answers

Answer:

3.6666 (I didn't round)

Repeating decimal

Step-by-step explanation:

We know that

2/3

is the same as

2÷3

Therefore:

3 2/3 = 3+(2÷3) = 3 + 0.6666 =3.6666

A repeating decimal is one that keeps going and repeats a pattern. This is decimal keeps going and repeats a pattern so it is a repeating decimal.

A terminating decimal is one that terminates or ends. This decimal does not terminate or end. It keeps going.

Hope this helped.

plsss help i’ll give brainliest if you give a correct answer

Answers

Answer:

it a

Step-by-step explanation:

Answer:

A (7)

Step-by-step explanation:

9w = 63

9 x 7 is 63,

9 x 6 = 54,

9 x 8 = 72,

9 x 9 = 81,

Max picked out an old Star Wars puzzle to put together. Out of the 250 pieces, he was missing 15.
What percentage of the pieces was he missing?

Answers

Answer:

ummm... like 6% Convert fraction (ratio) 15 / 250 Answer: 6%

Step-by-step explanation: i have brain i use it some times

I -9I = ____
HELP HELP ME ME ASAP PLEASE

Answers

Answer:

9

Step-by-step explanation:

l l means absolute value

the absolute value of any negative number is the same number but positive

so the absolute value of -9 is positive 9

Answer:

9

Step-by-step explanation:

Absolute value (or the lines) makes everything inside of it positive, so |-9| = 9

What is the day after the day after tomorrow if the day before the day before yesterday was Friday ?

Answers

Answer:

Wednesday

Step-by-step explanation:

Friday is the day before the day before yesterday

Saturday is the day before yesterday

Sunday is yesterday

Monday is today

Tuesday is tomorrow

Wednesday is the day after tomorrow

Answer:

i cant seem to find ur anwser it seems confusing

Step-by-step explanation:

it is confusing

Use what you know about the angle sum theorem for triangles and your algebra skills to solve for x and find the measure of all three angles:

Answers

Answer:

2x° = 45°, 3x° = 67.5°

Step-by-step explanation:

Sum of angles in a triangle = 180°

2x+3x+3x=180°

8x=180°

x=22.5°

2x=22.5°x2=45°

3x=22.5°x3=67.5°

Line d has a slope of 3/2. Line e has a slope of -2/3. Are line d and line e parallel or
perpendicular?

Answers

Answer:

We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect

Which expression shows the total area of 5 rooms, if the
sides of 3 rooms measure 17 feet each, and the sides of
2 rooms measure 15 feet each?

Answers

Answer:

3084 sq. ft

Step-by-step explanation:

for the first three rooms,

area= 6l² = 6× 17² = 1734

for the next two rooms,

area= 6l² = 6×15² = 1350

total area = 3084

The diagram below shows a rectangle inside of a regular hexagon. the apothem of the hexagon is 17.32 units. to the nearest square unit, what is the area of the shaded region?

Answers

Answer:

your answer will be A)719 units²

Step-by-step explanation:

hope it helps ^_^

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

C. The initial amount of money in the account

Answer:

C

Step-by-step explanation:

250 represent the amount of money that they started off with

1.05 represent how much the money in the account is increasing by

and x represent the amount of months that have passed

What is the slope and y-intercept of the line y = 3x - 7?
Group of answer choices

The slope of the line is -7, and the y-intercept is (0, 3).

The slope of the line is 3, and the y-intercept is (0, -7).

Plz help ASAP!!!!
The slope of the line is -3, and the y-intercept is (0, 7).

The slope of the line is 7, and the y-intercept is (0, -3).

Answers

Y = mx + b
m = slope, b = y intercept
Given m = 3, b = -7
The slope is 3
The y intercept is (0,-7)
hello!

[tex]==================================[/tex]

the given equation is written in slope-intercept form, which looks like so:

[tex]\pmb{y=mx+b}[/tex]

where

[tex]\pmb{m}[/tex] is the slope of the line

[tex]\pmb{b}[/tex] is the y-intercept of the line

in order to determine the slope & the y-intercept, just look at the equation:

[tex]\pmb{y=3x-7}[/tex]

slope: [tex]\pmb{3}[/tex]

y-intercept: [tex]\pmb{-7}[/tex] or ( [tex]\pmb{0, -7}[/tex])

[tex]===================================[/tex]

note:-

Hope everything is clear; if you need any more explanation, kindly let me know.

Which expression is equivalent to 99 + 22? A. 11(9) + 2(1) B. 11(9 + 2) C. 9 + 2(11) D. (8 × 9) + (6 × 7)

Answers

Answer:

B

Step-by-step explanation:

They both equal 121


The perimeter of a rectangle is 158 cm. If the length is 7 more than 3 times the width:
i)
Write an equation for the length (l) in terms of the width (w).

Use your understanding of simultaneous equations to determine the unknown
dimensions.

Find the area of the rectangle.

Answers

Width of rectangle = x
Length =3x+7
Perimeter of rectangle = 158cm
2(l+w)=158
2(3x+7+x)=158
2(4x+7)=158
8x+14=158
8x=158-14
x=144/8
x=18
Therefore the width of the rectangle is 18cm
Length=3x+18+7
54+7=61cm
Area=lxw
=61x18
=1098^2

The mall is 6 miles west of the highway. The hospital is 12 miles west of the mall. How far, and in what direction, is the hospital from the highway?

Answers

Answer: 18 miles west

Step-by-step explanation:

The mall is west of the highway.

The hospital is then west of the mall.

If the hospital is west of the mall which is already to the west of the highway, the Hospital must be west of the highway as well.

The hospital is 12 miles west of the mall which is then 6 miles west of the highway. As they are both west, it is a continuous distance and we can simply add their distances up and assume the distance is linear.

The distance between the hospital and the highway is therefore:

= 12 + 6

= 18 miles west

Please someone help me with this... and please thouroughly explain, i have no clue what to do.

Answers

144. Use the formula for the volume of a cone, since the answer is in terms of pi disregard the pi in the formula and solve using (r^2)(h/3) which will give you the answer in terms of pi.


[tex] x - 25 = 0[/tex]

Answers

The answer is 25

25-25=0
the answer is x = 25

Plz answer I'll give brainliest

Answers

Answer:

900<x<1100

Step-by-step explanation:

The third side must be greater than the difference of the other two sides

10000- 1000 < 10x

9000< 10x

Divide by 10

9000/10 < x

900 < x

The third side must be smaller than the sum of the other two sides

10000+1000 > 10x

11000>10x

Divide by 10

11000/10>10x/10

1100>x

900<x<1100

Can someone plz help me with this the answer choices are at the bottom plz I beg u

Answers

formula is v=1/3Bh
shape of base is rectangle/parallelogram
solution: 192cm^3
sorry if it’s wrong , been a while since i did it

Answer:

Step-by-step explanation:

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