The perimeter of a shape is the sum of its side lengths.
The perimeter of the shape is 24z - 18
Represent the length with l and the width with w.
The dimensions are given as:
[tex]l = 10z[/tex]
[tex]w = 2z - 9[/tex]
So, we have:
[tex]P =2 \times (l + w)[/tex] --- the formula of perimeter
The above equation becomes
[tex]P = 2 \times (10z + 2z - 9)[/tex]
Evaluate like terms
[tex]P = 2 \times (12z - 9)[/tex]
Open brackets
[tex]P = 24z - 18[/tex]
Hence, the perimeter of the shape is 24z - 18
Read more about perimeters at:
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plz help will mark as brainliest
Suppose that the functions u and w are defined as follows.
u(x) =
=-x-1
w(x) = 2x² +1
Find the following.
Step-by-step explanation:
(a○b)(x) is the same as a(b(x)).
it is really that simple.
first you calculate the result of the inner function, and then that result is the input for the outer function.
that's it.
so,
(w○u)(2) = w(u(2))
u(2) = -2 -1 = -3
w(-3) = 2×(-3)² + 1 = 2×9 + 1 = 19
so, 19 is the first answer.
(u○w)(2) = u(w(2))
w(2) = 2×2² + 1 = 2×4 + 1 = 9
u(9) = -9 - 1 = -10
so, -10 is the second answer.
The average daily maximum temperature in Syracuse is 21.85°C, and the average daily minimum temperature is -4.7°C. The average daily maximum temperature is:
____ °C higher than the average daily minimum temperature.
Answer:
26.55°C
Step-by-step explanation:
21.85 - - 4.7
21.85 + 4.7
26.55
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
-6) -6x — 10y = 3
12х + 20 y = 0
Elimination or substitution?
Solve
Answer:
Elimination and y=4 x=6
Step-by-step explanation:
what is the slope of y=-4?
Hello there!
The slope of this line is 0.
y=-4 is a horizontal line.
We find the slope using the formula Rise/Run.
The rise is 0, and no matter what the run is, the slope is 0 anyway.
Hope this helps!
~Just a cheerful teen
#CarryOnLearning
[tex]SilentNature[/tex]
The sale of cars in a particular month is decreased by 20% is $3060. What was the sale of cars before reduction.
Answer:
$3672
Step-by-step explanation:
3060 x 20% = 612
612 + 3060 = 3672
Riley is saving up to buy a new television. She needs a total of $1,161.59. Riley has saved $200.39 already and earns $80.10 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television?
Answer:
12 weeks
Step-by-step explanation:
I will use x to describe the amount of weeks.
200.39 (amount already have) + 80.10x (amount per week) = 1161.59 (total amount needed)
Now, just solve for x.
80.10x = 961.2
x = 12
What is the product of 0.15 x 0.32? *
Answer:
0.048
Step-by-step explanation:
Answer:
The answer to 0.15 x 0.32 is 0.048
A truck rental is $25 plus $.30/mi. Find out how many miles Ken traveled if his bill was $50.20.
Lets start by finding the equation.
25 is the constant, .3 is the slope, and 50.2 is the final.
This means that our equation is:
50.2 = .3x + 25
50.2 - 25 = .3x
25.2 = .3x
25.2 / .3 = x
84 = x
This means that Ken travelled 84 miles if his bill was $50.2.
I hope this helps! :)
Clara Clatter was born on December 27th, yet her birthday is always in the summer. How is this possible
Answer:
She lives in the Southern Hemisphere.
Step-by-step explanation:
round 2,419 to the nearest hundred
Answer:
2,400
Step-by-step explanation:
Can I please have brainliest?? thanks!! have an awesome day and good luck with your math :)
Answer:
2,400
Step-by-step explanation:
What is the answer of this question please reply!
0.00536 by 25
Answer:
0.134
Step-by-step explanation:
"By" means multiplied by, so the question is, what's 0.00536 multiplied by 25?
In the first step, we multiply all the numbers in the decimal by 5, and we get 0.02680. In the second, we multiply all the numbers in the decimal by 20, and we get 0.10720. Then we add the two together and get 0.134.
I hope that helped :)
STRUCTURE Gustavo sets up tables for a caterer on weekends. Each round table can seat 8 people. Each rectangular table can seat 10 people. One weekend, his boss asked him to set up tables for 124 people. He uses 2 more round tables than rectangular tables. Write a system of equations to find the number of round tables and rectangular tables Gustavo used. Then graph the system on a separate sheet of paper to solve the system.
Gustavo used 8 round tables and 6 rectangular tables.
Since Gustavo sets up tables for a caterer on weekends, and each round table can seat 8 people while each rectangular table can seat 10 people, and one weekend, his boss asked him to set up tables for 124 people, and he uses 2 more round tables than rectangular tables, to find the number of round tables and rectangular tables Gustavo used the following calculation must be performed:
10 x 8 + 8 x 10 = 160 8 x 8 + 6 x 10 = 124
Therefore, Gustavo used 8 round tables and 6 rectangular tables.
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You counted 28 big dogs and 20 small dogs running around at the park.
What was the small dogs to big dogs ratio ?
Answer:
5:7
Step-by-step explanation:
HELP ASAP!!!!!!!!! IM SO PUZZLED
Write a rule to describe each transformation.
- A
- B
- C
- D
Answer:
A, a dilation of 2
Step-by-step explanation:
The answer is, A dilation of 2 because the image is getting dilated to a bigger form. If it was a decimal or a fraction; the image would be smaller and than the pre-image.
(Pre-image is a shape before a transformation, image is after a ransformation.)
Have a great day friend! :D
Help Me in my Math Thanks :)
Answer:
Step-by-step explanation:
Asked: How many square tables are needed to place 100 pupils?
Given: Square table each has 4 pupils to sit
operation : Multiplication, subtraction, Division
Solve:
Number of pupils in 9 rectangular tables = 9*8 = 72 pupils
Remaining pupils = 100 - 72 = 28
Number of square table needed =28 ÷ 4 = 7
7 square tables are needed.
Find an
angle in each quadrant with a common reference angle with 280°, from
0°
Answer:
Step-by-step explanation:180
Answer:
80
Step-by-step explanation:
i don't know if it is right
12. Carter has 3 statues of various sizes in his garden. Statue A is one foot taller than
Statue B. Statue C is one-half of a foot taller than Statue B.
13
Let x represent the height of Statue B. Write expressions to represent Statue A and
Statue C.
Statue A
Statue B
Х
Statue C
14 If the total combined height of the 3 statues is 34.5 inches, find the height of
Statue B.
Answer: B is 11 feet tall
A=x+1 since A is one more than B
C=x+1/2 since C is one half more than B
B=x since B is just B
A+B+C=34.5
x+1+x+x+1/2=34.5
3x+1.5=34.5
3x=33
x=11
B is 11 feet tall
The arithmetic mean of the heights of five pupils in a class is 164cm if another pupil whose height is 168cm joins the class, calculate the arithmetic mean of the heights of the 6 pupils
Answer:
164.67 cm
Step-by-step explanation:
The arithmetic mean of height of 5 pupils is 164cm . Let the sum of heights of 5 pupils be x . Then , according to the question ,
[tex]\sf\longrightarrow \dfrac{x}{5}= 164cm [/tex]
On solving ,
[tex]\sf\longrightarrow x = 5*164cm =\bf{820cm}[/tex]
When a student of height 168cm is added ,
[tex]\sf\longrightarrow Mean = \dfrac{820cm+168cm}{6}\\[/tex]
[tex]\sf\longrightarrow Mean = \dfrac{988}{6}\\ [/tex]
[tex]\sf\longrightarrow \boxed{\pink{\sf Mean = 164.66 \approx 164.67 cm }}[/tex]
A sequence has a common ratio of Three-halves and f(5) = 81. Which explicit formula represents the sequence?
f(x) = 24(Three-halves) Superscript x minus 1
f(x) = 16(Three-halves) Superscript x minus 1
f(x) = 24(Three-halves) Superscript x
f(x) = 16(Three-halves) Superscript x
Answer:
f(x) = 16*(3/2)^(x-1)
Step-by-step explanation:
See attachment.
Answer:
B
Step-by-step explanation:
Is s = 7 a solution to the inequality below s < 2 yes
Answer:
No
Step-by-step explanation:
No, because s is less then 2. 7 is not less then 2.
‘Hope that helps! :)
Answer:
no
Step-by-step explanation:
s<2
s=7
7>2
A(-5‚-8) B(2‚-3) And C(-2‚9) are the vertices of ∆ABC. find the coordinates of its image under the rotation through 180°
in anti-clock wise direction about origin? HELP Meeeee
Answer:
see explanation
Step-by-step explanation:
Under a rotation about the origin of 180°
a point (x, y ) → (- x, - y ) , then
A (- 5, - 8 ) → A' (5, 8 )
B (2, - 3 ) → B' (- 2, 3 )
C (- 2, 9 ) → C' (2, - 9 )
722000
= ×10
its scientific notation help please
Answer:
7.22 x 10^5
Step-by-step explanation:
Remember that the decimal is always to the right of the ones place.
1. Move it one place to the left and multiply by 10 to compensate.
2. Move it two places to left and multiply by 10^2.
3. Move the decimal point three times and multiply 10^3 to compensate, and the pattern continues until you reach the very last digit, the 7.
4. Numbers after the 7 that are not zeros will be after the decimal point.
so, 7.22 x 10^5
I need help with my math homework :(
We plug in 14 for x when we set the two equations equal to each other to prove they are equal.
So true LM congruent to MN
Work out the percentage change to 2 decimal places when a price of £189 is decreased to £150.
Answer:
20.63%
Step-by-step explanation:
189-20.63%=150,0093
Answer:
20.63%
Step-by-step explanation:
% change = (New Value - Initial Value)/(Initial Value) * 100
= (150-189)/189 * 100
= -20.63%
Though the value comes as negative but it only indicates that it is a percentage decrease. As the question mentioned that the value is decreased, the final answer would be only 20.63%.
Hopefully this helps!!
Find the slope of the line that passes through point A (-2,0)and point B (0,10) using m=rise/run
Answer:
m = 5
Step-by-step explanation:
The x-coordinate of A is -2 and that of B is 0. The increase in this coordinate from A to B is 2. Similarly, the y-coordinate increases by 10. The slope is therefore m = rise / run = 10/2, or m = 5
Which of the following is(are) the solution(s) to |11x +3 = 6 ?
Hey there!
11x + 3 = 6
SUBTRACT 3 to BOTH SIDES
11x + 3 - 3 = 6 - 3
CANCEL out: 3 - 3 because it gives you 0
KEEP: 6 - 3 because it helps you solve for your x-value
11x = 6 - 3
11x = 3
DIVIDE 11 to BOTH SIDES
11x/11 = 3/11
CANCEL out: 11/11 because that gives you 1
KEEP: 3/11 because it simplifies for the x-value
SOLVE
x = 3/11
Therefore, your answer should bed x = 3/11
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
You are buying carpet to cover a room that measures 38 ft by 40 ft. The carpet
cost $18 per square yard. How much will the carpet cost?
Answer:
27360
Step-by-step explanation:
38x40=1520
1520*18=27360
Laura wants to place a flowerpot every 3/4 meters along the path from the gate to the main entrance of her home the path is 12 meters long how many flowerpots will she need
Answer:
16 pots
Step-by-step explanation:
Laura wants to place a pot every 3/4 (0.75)m
The length she wants to cover is 12m
So all we must do is divide
1) 12/0.75 (I converted the fraction to a decimal cause its easier)
2) 12/0.75 = 16
3) which means for each 3/4 there will be one pot so there is 16 pots in total