Answer:
x = 10.52 m
Step-by-step explanation:
Given that,
Length of a park = 90 m
Width of a park = 60 m
Area, A = 9000 m²
A uniform strip borders all four sides of the park for parking. We need to find the width of the strip. Let it is x. Now the area becomes,
(90+2x)(60+2x) = 9000
[tex]4x^2 +120x +180x =5400 = 9000\\\\x=10.52\ m[/tex]
So, the width of the strip is equal to 10.52 m.
please help i cannot figure this out
PLEASE HELP!! I DON'T UNDERSTAND!!!!! I WILL MARK!!!!
Answer:
2
Step-by-step explanation:
first use order of operations.
1/2(4^2)-6
1/2*16-6
then simplify to get:
8-6=2
Answer: 2
Step-by-step explanation:
The question is asking you to substitute the b with 4 and find the solution to the expression.
[tex]\frac{1}{2}b^{2} -6[/tex]
[tex]=\frac{1}{2}(4)^{2} -6[/tex]
[tex]=\frac{1}{2}(16) -6[/tex] (PEMDAS so you do the exponent first)
[tex]=8 -6[/tex] (PEMDAS so you do the multiplication first)
[tex]=2[/tex]
what is 25/x 15/30 can you please help
Answer:
x = 50.... 25/50 = 15/30 or 1/2 = 1/2
Step-by-step explanation:
25/x = 15/30
consider the cross multiply
25 * 30 = 15 * x
750 = 15x
divide both sides with 15 to make the co-efficient of x, 1.
x = 50
Answer:
5×15/6
5×5/2
25/2
12.2 is your answer ☺️☺️☺️. If I'm right so,
Please mark me as brainliest. thanks!!!
Which expression is equivalent to 13 22b
in a circle of radius 28 cm, an subtends an angle of 45° at the centre, then find the length of the arc(in cm)
Answer:
22cm
Step-by-step explanation:
Length of arc = [tex]\frac{theta}{360}[/tex] * 2[tex]\pi[/tex]r
= [tex]\frac{45}{360}[/tex] * 2 * [tex]\frac{22}{7}[/tex] * 28
= 22 cm
Hello i would really appreciate it if you help!
Identify the end behavior of the function f(x) = 6x^4 - 12x^3 +8x -10
Answer:
Step-by-step explanation:
This is a quartic equation with a positive coefficient for x^4 so it is shaped like an M xo ir rises to both the left and the right.
PLEASE HELP!!!! WILL MARK BRAINLIEST IF CORRECT!!!!!!
The picture shows the question, tables, and multiple-choice answers.
Love you, tysm, happy tuesday <3
.
Sadie buys milk and apples at the store.
She pays a total of $47.92.
She pays a total of $3.05 for the milk.
She buys 7 bags of apples that each cost the same amount.
How much does each bag of apples cost?
Answer:
$6.41
Step-by-step explanation:
47.92 - 3.05 = 44.87
44.87/7 = $6.41
**Jane found money in her pocket. She went to a convenience store and spent 1/4 of her money on chocolate milk, 3/5 of her money on a magazine, and the rest of her money on candy. What fraction of her money did she spend on candy?
Answer:
3/20
Step-by-step explanation:
1/1-1/4-3/5= (money spent)
1×4×5/(1×4×5)-1×1×5/(1×4×5)-3×1×4/(1×4×5)
20/20-5/20-12/20
(20-5-12)/20=3/20
Answer:
$y - $0.85
Step-by-step explanation:
y represents how much money he had.
[tex]\frac{3}{5}+\frac{1}{4} =\frac{17}{20}[/tex]
$y - $0.85
Isabel and Jonah had 2 pies. Isabel wrote the equation ½ + ⅙ = 4/6 and Jonah wrote 3/6 + 1/6 = 4/6 to represent combining the pie pieces. Explain why both equations are correct.
PLEASE JUST TYPE THE ANSWER AND DON’T LEAD TO ANY LINKS
Solve.
t
8.4=
1.5
=
Help plzzzz
Answer:
t = 12.6
Step-by-step explanation:
8.4 x 1.5 = 12.6
to check it, do 12.6 ÷ 1.5 = 8.4
Andrew is saving up money for a down payment on a car. He currently has $3355, but knows he can get a loan at a lower interest rate if he can put down $4045. If he invests the $3355 in an account that earns 3.7% annually, compounded monthly, how long will it take Andrew to accumulate the $4045? Round your answer to two decimal places, if necessary.
Answer:
5.06 years or 60.75 months
Step-by-step explanation:
Compound interest formula:
[tex]AV=PV(1+\frac{i}{n})^{n*t}\\4045=3355(1+\frac{.037}{12})^{12t}\\1.025=(1.003)^{12t}\\log1.025_{1.003}=12t\\60.75=12t\\5.062[/tex]
5.06 years or 60.75 months
It will take Andrew 5 years to accumulate $4045 by investing $3355 in an account that earns 3.7% annually, compounded monthly.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
We can use the formula for compound interest to solve this problem:
[tex]A = P(1 + r/n)^(^n^t^)[/tex]
where:
A is the amount of money at the end of the investment period
P is the principal amount (initial investment)
r is the annual interest rate (as a decimal)
n is the number of times the interest is compounded per year
t is the time (in years) of the investment period
In this case, we want to solve for t. We know that:
P = $3355
r = 0.037 (3.7% as a decimal)
n = 12 (compounded monthly)
A = $4045
Substituting these values into the formula, we get:
[tex]4045 = $3355(1 + 0.037/12)^(^1^2^t^)[/tex]
ln(1.206) = 12t ln(1 + 0.037/12)
ln(1.206) = 12t ln(1 + 0.0031)
ln(1.206) = 12t ln(1.0031)
0.187=12t 0.0031
0.187=0.0372t
t=5.02
Therefore, it will take Andrew approximately 5 years to accumulate $4045 by investing $3355 in an account that earns 3.7% annually, compounded monthly.
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If the volume of the cylinder is 502.4 in?, what is the radius of
the base of the cylinder? Use 3.14 for i and enter your answer
as a whole number.
h=10 in
r= in.
Answer:
radius of the base of cylinder = 4 in
Step-by-step explanation:
Volume of cylinder = pi x r² × h
502.4 = 3.14 x r² x 10
502.4 = 31.4 x r²
r² = 502.4/31.4
r² = 16
r = 4 in
100. 00 - 0.22 what is the answer show your work
Answer:
100.00-0.22 is 99.78
U have to use decimal method. don't use Normal method
If a person was reading a 528 page book and they read 22 pages every day how many days would it take them
Answer:
24 days
Step-by-step explanation:
Given
[tex]Pages = 528[/tex]
[tex]Rate = 22[/tex]
Required
The number of days
The number of days (d) is calculated as:
[tex]d = \frac{Pages}{Rate}[/tex]
[tex]d = \frac{528}{22}[/tex]
[tex]d = 24[/tex]
What is the equation in point-slope form of the line passing through (0,5) and (-2, 11)?
Oy-5=-3(x + 2)
Oy-5= 3(x + 2)
Oy - 11 = -3(x - 2)
Oy - 11 = -3(x + 2)
Answer: y-11 = -3(x+2)
How many students choose strawberry kiwi
Need help with the answer please
NO LINKS!!!
Answer:
15 students. 30%
Step-by-step explanation:
Pls helpppp I’m stuck and no one knows
Answer:
x=9
Step-by-step explanation:
10x+11=51 solve for x
Answer:
x=4
Step-by-step explanation:
You spend £41.01 on groceries, £49.54 on fuel, and £12.50 on lottery tickets, how much do you have left from £105?
Answer:
£1.95
Step-by-step explanation:
£41.01 + £49.54 + £12.50 = £103.05
£105 - £103.05 = £1.95
select all the measurements that create a unique triangle
A boat has a depreciation rate of 12% per year. If the original price of the boat was $15,000, what is the value of the boat 5 years later? Round your answer to the nearest penny (hundredths place value).
Answer: $7,915.98
Step-by-step explanation: This is an exponentially decaying problem, so that means we use the formula ab^x.
The a value is the original price or the starting point, which is 15,000. The b value is the ratio in which it decreases or increases. It is decreasing, so we subtract 12 from 100, which is 88. The ratio should be in decimal form, so it is 0.88. Finally, the x should be the exponent, the amount of times it is getting multiplied by the ratio. So the equation would be 15,000(0.88)^5.
Then, we solve.
0.88 * 0.88 * 0.88 * 0.88 * 0.88 = 0.5277319168
Then 0.5277319168 * 15,000 = 7,915.978752.
Of course, we round to the nearest hundredth, which is 7,915.98. Hope this helped.
I don’t have time to do it help me please
Answer:
4=3 5=10 6= YOu would add more dots accordingly 7=4
Step-by-step explanation:
hoped this helped!
please help is it 2/9?
Answer:
7/9
Step-by-step explanation:
7/9
Answer:
7/9
Step-by-step explanation:
Brainliest maaaybe? :)
Which describes the cross section of the square prism that passes through the vertices A, B, C, and D shown below?
A square prism. The front left points are labeled A and D. The back right points are labeled B and C.
a rectangle
a square
a kite
a trapezoid
Answer:
its not that i got it wrong
Step-by-step explanation:
ILL MARK BRAINLIESTTTTT
Answer:
0.075 inches per year
Step-by-step explanation:
The average rate of change is measured as
( difference in diameter ) ÷ ( difference in years )
= ( 251 - 248 ) ÷ ( 2005 - 1965 )
= 3 inches ÷ 40 years
= 0.075 inches per year
The point p=(x,1/2)
Lies in the unit circle shown below what is the value of X in simplest
6(y - 2) = -18
What is y?
Answer:
-1
Step-by-step explanation:
6 (y - 2) = -18
6y - 12 = -18
6y = -18 + 12
6y = -6
y = -1
Make r the subject of x=e+r/d
Answer:
r = dx - de
Step-by-step explanation:
x = e + r/d
x - e = r/d
d (x - e) = r
dx- de = r
r = dx - de