6) A garden measures p metres by 3p + 2 metres.
a) Write an expression that describes the perimeter of the garden.
b) The garden has a perimeter of 76 metres. Write an equation to show this.
c) Solve your equation to find the value of p.

ALL WORKING OUT NEEDED

Answers

Answer 1

p = 18.5

Step-by-step explanation:

a. to find perimeter you have to add all the sides together

So if one side is p, and the other side is 3p+2, just add them together like this

p + 3p + 2, then combine the ps so the expression is

4p + 2

b. now you find out the perimeter is 76

So put the original expression of your perimeter and 76 together like this

4p + 2 = 76

c. So now solve the equation

4p + 2 = 76

subtract 2 from both sides to get the ps alone

4p = 74

now divide by 4 to get the p by itself

74 ÷ 4 is 18.5, or 18 1/2

So p = 18.5 or 18 1/2


Related Questions

5(x-1)=23 solve the equation

Answers

Answer: 28/5    or 5.6

Step-by-step explanation:

5(x-1) = 23        Distribute on the left side

5x - 5 = 23        Add 5 to both sides

    +5      +5

5x = 28       Divide both sides by 5

x = 28/5

Answer:

x = 28/5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

5(x - 1) = 23

Step 2: Solve for x

Divide 5 on both sides:                    x - 1 = 23/5Add 1 to both sides:                          x = 28/5

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                     5(28/5 - 1) = 23(Parenthesis) Subtract:        5(23/5) = 23Multiply:                                23 = 23

Here we see that 23 does indeed equal 23.

∴ x = 28/5 is the solution to the equation.

Is (8, 3) a solution to y = 5x – 7

Answers

So first you plug in (8,3) into their respective places, which makes it:
3= 5(8)-7
Solve
3 = 40-7
3 does not equal 33,
So the answer is no

Please help i will do anything

Answers

Answer:

i think it is not a function

Step-by-step explanation:

if you mirror it or use the vertical line test it would't come out the same

Translate this verbal expression to an algebraic expression.

The difference of -28 and x.





A x + 28

B -28 - x

C -28 + x

D -28x

Answers

Answer:

B.) -28 - x

Step-by-step explanation:

The answer is B





.........

If a > -1 then 1/a < -1

When is the statement above true for a≠0

Answers

Answer:

I think the answer is c, always

Answer:

yes a I always positive

Step-by-step explanation:

I think it's helps you

Which ratio it's less then 7/9 I need help ASAP

Answers

Answer:

7/9

Step-by-step explanation:

Next
Showing Data Center and Spread: Mastery Test
1
Select the correct answer from each drop-down menu.
Which data set has a greater spread? Why?
Set A: {38, 12, 23, 48, 55, 16, 18}
Set B: {44, 13, 24, 12, 56}
which set has a greater spread because why

Answers

Answer: 38

Step-by-step explanation:

n June Gemma paid £68 for her electricity. In July she will pay 5% more for her electricity.

Answers

Answer:

68/100 = 0.68

0.68 * 105 = 71.40

K/X=W+v solve for the letter x

Answers

Answer:

[tex]\displaystyle X=\frac{K}{W+v}[/tex]

Step-by-step explanation:

Equation Solving

Equations are solved for a given variable by performing a sequence of operations that lead to the variable to be alone, usually on the left side of the equation.

We are given the equation:

[tex]\displaystyle \frac{K}{X}=W+v[/tex]

It's required to solve it for X.

Note X is in the denominator of a fraction. To solve for X, we simply take the reciprocal on both sides of the equation:

[tex]\displaystyle \frac{X}{K}=\frac{1}{W+v}[/tex]

Now multiply by K:

[tex]\boxed{\displaystyle X=\frac{K}{W+v}}[/tex]

the graph shows the number of quarts picked the graph shows the number of quarts picked and amount of money paid by different customers ​

Answers

Answer:

Step-by-step explanation:

Part A

Since, line shown in the graph passes through origin (0, 0), relation between number of quarts picked (Q) and amount of money paid (M) will be proportional.

M ∝ Q

M = kQ [k = proportionality constant]

k = Slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Since, line passes through two points (1, 3.5) and (2, 7),

k = [tex]\frac{7-3.5}{2-1}[/tex] = 3.5

Therefore, M = 3.5Q

This relation states that "For each number of quarts picked, $3.5 is to be paid"

Part B

Equation that represents the proportional relation,

y = 3.5x

Or Amount of money paid = 3.5(Number of quarts picked)

paul needs to find the number of people in his gymnasium who want the gym hours to be extended till late night. which of the following sample group should be in the survey to get the best results?

Answers

Answer:

b

Step-by-step explanation:

Took the test

Write the equation of a line passing through the points (5,-5) and (-5,-5)?

Answers

Answer:

y-(-5)/x-(-5)=0

so y=5 is the eqt.

Determine whether the given arc is a minor arc, major arc or semicircle.

A)minor arc
B)semicircle
C)major arc

Answers

the given arc is considered an major arc .

The given arc FBD is a ''Major arc''.

What is mean by Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

We have to given that;

An arc FBD is shown in figure of circle.

Now, By the figure of circle,

The measure of arc FBD is a ''Major arc''.

Thus, The given arc FBD is a ''Major arc''.

Learn more about the circle visit:

https://brainly.com/question/24810873

#SPJ7

a rectangular box has length 20 cm width 6 cm and height 4 cm find how many cubes of side 2 cm that will fit into the box​

Answers

Answer:

60

Step-by-step explanation:

Get the volume of the rectangular box

Volume of the rectangular box = length * width * height

Volume of the rectangular box = 20 * 6 * 4

Volume of the rectangular box = 480cm³

Get the volume of the cube;

Volume of the cube = l³

Volume of the cube = 2³

Volume of the cube = 8cm³

Amount of 2cm³ cube that will fit = volume of the box/volume of the cube

Amount of 2cm³ cube that will fit = 480/8

Amount of 2cm³ cube that will fit = 60

Hence 60 2cm³ cube will fit into the box

Question 4
How many more years can a 75-year-old person expect to live?

How do you do life tables?

Answers

Answer:

If that person lived to 75, their life expectancy increased to 86.8—9.3 years longer than the average child born in 2006.

Answer:

A 75 year old person can be expected to live 11.7 more years

Step-by-step explanation:

Answer from Edmentum/ Plato

I hate this course with a passion! :)

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!

Answers

Answer:

Both are correct because S is greater than P by 4 and P is smaller than S by 1/4.

Step-by-step explanation:

Please help? I need the answer quick!

Answers

Answer:

sorry icant open the picture my phone is lagging

Emily gave 20% of her buttons to Jake. How many total buttons did Emily start with if she gave 15 buttons to Jake?

SHOW UR WORK AND MAKE IT EASY

Answers

Answer:

75

Step-by-step explanation:

20%(x) =15

x=75

PLZ HELP ME I REALLY NEED IT?!?

Answers

Answer:

he bought 17 book.

Find and equation for the perpendicular bisector of the line segment whose endpoints are (-9, 5) and (-1,9).

Answers

Answer:

√(-9 - -1) 2 + (5 - 9) 2

Step-by-step explanation:

This would be the equation, I just answered a similar question for another fellow/lady. So how it would look for future reference is

√(xa - xb) 2 + (ya - yb) 2

The 2s would be small signifying that you would square it ( lol guessing you know that) and the xa - yb would be the cordinates. A for the first set of numbers and B for the second set of numbers.

If i could get brainliest that would be great! Im so close to virtuos and i only need 4 more brainliest to get there! Help a stranger out?

Anyway have a great day and hoped it helped! :D

5. Justify the last two steps of the proof.


Given: RS = UT and RT = US

Prove: RST = UTS



proof | given


1. RS = UT | 1. Given

2. RT = US | 2. Given

3. ST = TS | 3. _____

4. RST = UTS | 4. _____

Answers

Answer:

From the question it is given in a ΔRST and Δ UTS  

RS = UT

RT = US

proof:

RS = UT    {given}

RT = US    {given}

ST = TS     {Common}

Therefore, by SSS theorem ΔRST and Δ UTS  is congurent

RST = UTS    {SSS Theeorem}

Answer:

3. Reflexive Property

4. SSS

Step-by-step explanation:

calculate the area of the triangle state the units of the answer

Answers

Answer:

??????theres nothing??????

1
Which equation represents the situation, 12 is 42% of what number?

Answers

Answer:

28.57

Step-by-step explanation

12/42=.2857 x 100=28.57 hope i helped! please mark brainliest!

1.

Ms. Abbott's 6th grade class has 18 students with brown eyes and 12 students with blue eyes. Ms. Downey's class has 15 students with brown eyes and 10 students with blue eyes. Which classroom has a higher ratio of brown eyes?
a.
Ms. Abbott's class
c.
They are the same
b.
Mrs. Downey's class
d.
Mrs. Smith's class

Answers

Answer: A Ms. Abbott’s class

Answer:

They are both the same

Step-by-step explanation:

(ratio of brown eyes to blue eyes)

Ms. Abbott's class- 18:12

Ms. Downey's class-  15:10

if you simplify both of the ratio's you'll get 3:2 for both of them. Therefore both classes have the same ratio of brown eyes to blue eyes.

Please help and thank u

Answers

Answer: 40 squared centimeters

Step-by-step explanation:

Area of parallelogram: b × h

b = 10

h = 4

10 × 4 = 40

Area of the parallelogram: 40 cm²

Bill has 5 cups of strawberries he uses 2 and 1/6 to make smoothies he uses the rest of the strawberries to make fruit cups he needs 2/3 cups of strawberries for each fruit cup how many fruit cups can he make

Answers

Answer: Total fruit cups made = [tex]4\dfrac14[/tex]

Step-by-step explanation:

Total cups of strawberries = 5

Cups used for smoothies = [tex]2\dfrac16=\dfrac{13}{6}[/tex]

Since rest of the strawberries are used to make fruit cups = [tex]5-\dfrac{13}{6}=\dfrac{30-13}{6}=\dfrac{17}{6}[/tex]

Cups of strawberries for each fruit cup = [tex]\dfrac23[/tex]

Total fruit cups made = (rest of the strawberries ) ÷(Cups of strawberries for each fruit cup)

[tex]=\dfrac{17}{6}\div \dfrac23\\\\=\dfrac{17}{6}\times\dfrac32\\\\=\dfrac{17}{4}\\\\=4\dfrac14[/tex]

Total fruit cups made = [tex]4\dfrac14[/tex]

Plz help me plz I am timed

Answers

Answer:

g <= 2

Step-by-step explanation:

Subtract one from both sides.

Give brainliest, thanks, and 5 stars if helpful!

Question Help
Challenge Last month, Dani's neighbors paid her to take care of their fish when they went on
vacation. She spent $4 of her earnings on an afternoon snack and $12 on a new book. Afterward,
she had at most $7 left. How can you best describe how much Dani's neighbors paid her?
Select the correct choice below and fill in the answer box to complete your choice

Answers

Answer:

They paid her $23 at most

Step-by-step explanation: 4+12+7=23

what is the standard form for graphs of y-5=4/5(x-30)​

Answers

Answer:

y=0.8*x -19

Step-by-step explanation:

y-5=4/5(x-30)

5*(y-5)=5*(4/5(x-30))

5y-25=4x-120

5y=4x-120+25

5y=4x-95

y=(4/5)*x -19

y=0.8*x -19

2. Given square CANE with diagonals
intersecting at B. mZCNE = 3a + 2b,
AC = 35, and CE = 6a + 5.
Find the value of a +b.

Answers

What’s something goes up but never comes down?
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