Answer:The area of the walkway around is 26 x + 16 as the sum of two terms
Step-by-step explanation:
A rectangular garden has a walkway around it
1. The area of the garden is 4(4.5 x + 1.5)
2. The combined area of the garden and the walkway is 5.5(8 x + 4)
We need to find the area of the the walkway
To find the area of the walkway by subtracting the area of the
rectangle from the combined area
∵ The combined area = 5.5(8 x + 4) ⇒ simplify it
∴ The combined area = 5.5(8 x) + 5.5(4)
∴ The combined area = 44 x + 22
∵ The area of the garden = 4(4.5 x + 1.5) ⇒ simplify it
∴ The area of the garden = 4(4.5 x) + 4(1.5)
∴ The area of the garden = 18 x + 6
Now subtract the area of the garden from the combined area
∵ Area of the walkway = (44 x + 22) - (18 x + 6)
∴ Area of the walkway = 44x + 22 - 18 x - 6
- Add like terms
∴ Area of the walkway = (44 x - 18 x) + (22 - 6)
∴ Area of the walkway = 26 x + 16
The area of the walkway around is 26 x + 16 as the sum of two terms
Step-by-step explanation:
Multiply and simplify. Plz show work!
(3x − 2)(5x^2 − 7x + 2)
Answer:
15^3−31^2+20−4
Step-by-step explanation:
Distribute
(3−2)(5^2−7+2)
3(5^2−7+2)−2(5^2−7+2)
Distribute
3(52−7+2)−2(5^2−7+2)
15^3−21^2+6−2(5^2−7x+2)
Distribute
15^3−21^2+6−2(5^2−7+2)
15^3−21^2+6−10^2+14−4
Combine like terms
15^3−21^2+6−10^2+14−4
15^3−31^2+6+14−4
Combine like terms
15^3−31^2+6+14−4
15^3−31^2+20−4
Solution
15^3−31^2+20−4
leah buys 3 adult and 3 child bus passes for a trip. the costs of an adult pass is a. the costs of a child pass is c. write an expression that will show the costs for all of the bus passes for the trip.
Answer:
6
Step-by-step explanation:
Please help with this question:
Tell whether a triangle can have the sides with the given lengths 12, 13, and 24
Answer:
yes
Step-by-step explanation:
as long as the two shortest sides add up to more than the longest side then a triangle can be made with those side lengths
hi does 1/6 -3 √7, -6/5 come first when the numbers are listed from least to greatest
Answer:
I think Yes im not exactly sure
Step-by-step explanation:
can someone plz do both of these will mark brainleist
Answer:
Step-by-step explanation:
2.b=90
1.30
Answer:
Step-by-step explanation:
6. You're gonna use Cos to find Y
Cos = adj/hyp
Cos 27 = 10/y
10/cos27 = y
11.2 = y
7. It'll help immensily if you draw this one out.
You're gonna use Sin to find the angle.
Sin = opp/hyp
Sin 65 = 14/x
14/sin65 = x
15.4 = x
plz help :: y - 4 = -3(x - 3) in slope internet form and show the work
Answer:
Step-by-step explanation:
y-4=-3x+9
y=-3x+13
what are the answers to these 2 questions? pls help! thank u
Answer:
The first answer is no
two varying quantities are said to be in a relation of proportionality you can't divide 50 into 6 and get a proportional number
The second answer is yes because they are all equal and make a straight line
Step-by-step explanation:
8. Amy is flying a kite. Her kite is flying 45 ft above the ground, and the string makes a 35°angle with the ground. How long is the string?
Round to the nearest HUNDREDTH. (0.01)
Note: This is a trigonometry question
Answer:
Check pdf
Step-by-step explanation:
please only answer if you're a hundred percent sure you know the correct answer and please answer all question
Answer:
Q.no.1
d=1 then t=7
d=3 then t=11
t=15 then d=5
Q.no.2
d=1 then t=3
d=3 then t=9
t=15 then d=5
Q.no.3
5x = 12+18
or, 5x = 30
or, x =30/5
or, x = 6
Q.no.6
x < 8
Q.no.7
x >_ 7 ( option d)
Hope it helps.
WILL GIVE BRAINLIEST! Form quadratic functions given the following information: f(x)>0 if and only if 1
Answer:
Step-by-step explanation:
sin (330)
-4 cot
(-45)
csc (60)
Answer:
f(x) = -2(x-3)^2+8
Step-by-step explanation:
Using vertex form: f(x)= a(x-h)^2 +k
if the maximum is 8 then k=8
h = 3 --> the midpoint of 1 and 5
Fill in the equation:
f(x) = a(x-3)^2 +8
Using f(1) = 0 to figure out a:
0 = a(1-3)^2+8
4a =-8
a = -2
Our final equation would be[tex]f(x)=-2(x-3)^2+8[/tex]
In standard form: [tex]f(x)=-2x+12x-10[/tex]
How can I factorise expressions
Answer:
The first step of factorising an expression is to 'take out' any common factors which the terms have. So if you were asked to factorise x² + x, since x goes into both terms, you would write x(x + 1) . This video shows you how to solve a quadratic equation by factoring.
Step-by-step explanation:
One of the students is chosn at random. What is the probability of picking a student who sciored above 65
Answer: 7 / 18
Step-by-step explanation:
There were 18 students.
Out of them, the scores above 65 are:
73, 73, 69, 68, 71, 76, 70
There are 7 of them.
Probability of picking someone who scored higher than 65 is:
= Number of people who scored above 65/ Total number who took the test
= 7 / 18
In a hostel, 120 students consume 2160 kg of rice per month. How much rice will be consumed by 80 students in a month?
Answer:
1440kg of rice
Step-by-step explanation:
2160kg/120 students gives 18kg of rice per student per month. Take that
18kg*80people gives you 1440kg of rice for 80 students
What is the value of the following expression: w^2 + 2 + 48 divided by 2z. If w = 5 and z = 8
Answer:
Replace w and z with the given values:
5^2 + 2 + 48 / 2(8)
Simplify:
75/16 = 4 and 11/16
Step-by-step explanation:
hopes this helps
-Unknown
What is the total surface area??? PLEASE HELP ME
Answer:
56 +136 add the rest
Step-by-step explanation:
In order to raise money for road repairs, the bridge toll is going to increase 130% next month. If the bridge toll is currently $2.50, how much will the toll be after the increase?
A.$0.75
B. $3.25
C. $4.80
D. $5.75
Can anyone please help with this?
Answer:
see explanation
Step-by-step explanation:
Find AC
AC = AD + DC = 3y + 4x
(i)
AE = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex](3y + 4x) = [tex]\frac{3}{2}[/tex] y + 2x
(ii)
CB = - AD = - 3y
Adrian purchased a new car in 1990 for $24,900. The value of the car has
been depreciating exponentially at a constant rate. If the value of the car was
$13,500 in the year 1994, then what would be the predicted value of the car
in the year 1999, to the nearest dollar?
Answer:
Multiply it by 4 and divide it by 100. It should be1,100. Now multiply it by12. it should be 13200 . Now subtract that to the original price. 14300
Step-by-step explanation:
PLEASE rate follow and thank
Answer: 6281
Step-by-step explanation:
Help plz will give brainliest
5 x 3 = 15
Your answer: 15
Answer: 15 out of the 18 blocks are shaded
The prism shown has a volume of 35 cm.
Work out h, the height of the triangular cross section.
h
7 cm
4 cm
Answer:
the height is 2.5 cm
Step-by-step explanation:
The computation of the height of the triangular section is shown below:
As we know that
Volume = One-half × base × height
35 = One-half × 4 × height × 7
So, the height is 2.5 cm
Answer:
Height = 2.5cm
Step-by-step explanation:
Volume = Base(b) x Height(h) x Length(l) / 2
Substitute the information that you have into the equation
Volume = 4 x Height(h) x 7 / 2
Height = 4x7 / 2
= 14cm
35 / 14
= 2.5cm
The length of two sides of a right triangle are leg:
10 m and hypotenuse: 15 m.
Find the length of the third side.
Answer:
11.2m
Step-by-step explanation:
Using Pythagoras,
a²+b²=c²
10²+b²=15²
100+b²=225
b²=225-100
b²=125
b=√125
b=11.2m
70 pointsss for the correct answer
When the function f(x) is divided by 4x−5, the quotient is 3x^2 −x+3 and the remainder is −2. Find the function f(x) and write the result in standard form.
Answer:
Step-by-step explanation:
f(x) = (4x-5)(3x²-x+3) - 2
= (12x³-4x²+12x)-(15x²-5x+15) -2
= 12x³ - 19x² + 17x - 17
Find mAPD .
60
Select one:
O a. 30 degrees
O b. 60 degrees
O c. 45 degrees
O d. 90 degrees
Answer:
I believe it's a because 90 + 60 would get you 150 and then you add 30 and it gives you 180/half a circle
What is the equation of the line that passes through the point (-3, 4) and has a
slope of 1?
Answer:
y =1x+4
Step-by-step explanation:
Plz help due tomorrow if correct ill give brailiest
Harvey and Dona want to test the range of the walkie-talkies they have. They start at Harvey's house and walk away from each other. Harvey goes to the store 4 miles away to the East and Dona goes to the park 5 miles West. How far apart are the walkie-talkies?
what is 10 to the 100th power
Answer:
EZ!!! 1e+100
Step-by-step explanation:
Lisa is going on a 3 3/4 mile hike. She has already hiked 1 1/4 miles. How many more miles does she have left to hike?
Answer:
C = 2½ miles.
Step-by-step explanation:
Let the total distance be A
Let the distance covered be B.
Let the unknown distance (distance left) be C.
Given the following data;
A = 3¾ miles
B = 1¼ miles
To find the distance left to hike;
A = B + C
Substituting into the equation, we have;
3¾ = 1¼ + C
C = 3¾ - 1¼
C = (3 - 1) ¾ - ¼
C = 2 2/4
C = 2½ miles.
Method II.
We would convert the mixed fraction into a proper fraction:
A = 3¾ = (4*3 + 3)/4 = 15/4
B = 1¼ = (4*1 + 1)/4 = 5/4
C = 15/4 - 5/4
C = 10/4
C = 5/2
C = 2½ miles.
Find Y. Round to the nearest tenth. Z 17 ft 8 ft X 16 ft Y Y= [?]° Law of Cosines: c2 = a + b2 - 2ab cos C
Answer:
27.8
Step-by-step explanation:
here are 4 red cards and 8 black cards in a bag. How likely is it that you will randomly draw a blue card?
a
Impossible
b
Unlikely
c
As likely as not
d
Likely
e
Certain
Answer:
I would say B?
Step-by-step explanation:
Hope this helps (: