Answer:
23ft
Step-by-step explanation:
Area of the rectangle = LW
L is the length
W is the width
Given
Area = 414ft²
If the length of this garden is 5 feet longer than its width, then;
L = W+5
Substitute into the formula
414 = (W+5)W
414 = W²+5W
W²+5W-414 = 0
W = -5±√5²-4(-414)/2
W = -5±√25+1656/2
W = -5±√1681/2
W = -5+41/2
W = 36/2
W = 18ft
Since L = W+5
L = 18+5
L = 23ft
Hence the length of the rectangle is 23ft
As an estimation we are told 5 miles is 8km. Convert 44km to miles
Answer:
27.5 miles.
Step-by-step explanation:
44km ÷ 8km = 5.5
5.5 x 5 = 27.5
Answer:
27.5 miles
Step-by-step explanation:
i think that's the method I know and I believe that's the answer hope it helps you have a great day.
Walter invested some money at 5% simple interest for 3 years and earned $300. What was the amount he invested?
the young lad invested 6000$
Answer:2000
Step-by-step explanation:
Are the triangles similar? Explain how you know.
Answer: Yes,these triangles are similar because they are both obtuse, scalene, and they both have three sides
Please help!!
Will mark brainliest
Answer:
y=+2
Step-by-step explanation:
Every advancement in boxes, gives 2 to the next box. the rate of change would be 2/1
2) In the following diagram, a ladder is leaning against the building. What is the
length of the ladder? (
Answer:
I believe the answer is about 34
Step-by-step explanation:
Taylor has dd dimes and qq quarters. She has a maximum of $4 worth of coins altogether. Write this situation as an inequality.
Answer: .10d+.25q<_ 4
Step-by-step explanation:
d= dimes and q = quarters
dimes are worth .10 and quarters are worth .25
The inequality for the given situation is
0.1d + 0.251 ≤ 4
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
10 dimes = 1 dollar
1 dime = 0.1 dollar
4 quarters = 1 dollar
1 quarter = 0.25 dollar
Now,
The maximum amount is $4.
So,
0.1d + 0.251 ≤ 4
Thus,
The inequality is 0.1d + 0.251 ≤ 4.
Learn more about inequalities here:
https://brainly.com/question/20383699
#SPJ2
can someone help me with this
Answer:
A.) 3/4
Step-by-step explanation:
You can find this by dividing the distance from point Z to point Y by the distance of point X to point Y. The distance from Z to Y is 6 and the distance from X to Y is 8, so that means that the slope is 6/8, which simplifies to 3/4.
Which pair of variables would most likely have approximately zero correlation
Answer:
I’m not sure but it’s b
Step-by-step explanation:
Which expression is equivalent to the given expression? Assume the denominator does not equal zero.
https://app.edmentum.com/mimetex/mimetex?\fs3%5Cfrac%7B14x%5E%7B4%7Dy%5E%7B6%7D%7D%7B7x%5E%7B8%7Dy%5E%7B2%7D%7D
ok so basically i got =2rx8y9
Two people compete in a five-mile go kart race. Person A travels 1/10 miles every 15 seconds while Person B travels 3/8 mile every 48 seconds. Who wins the race? What is the difference of the finish times of the competitors?
Answer:
a) Person B wins the race.
b) The difference in the finish times of the competitors is 110 s.
Step-by-step explanation:
a) We can find the time that takes Person A and B to finish the race:
Person A:
[tex] t_{F_{A}} = \frac{t_{A}}{d_{A}}*d_{T} [/tex]
Where:
[tex]t_{A}[/tex]: is the time of Person A = 15 s [/tex]
[tex]d_{A}[/tex]: is the distance of Person A = 1/10 miles [/tex]
[tex]d_{T}[/tex]: is the total distance = 5 miles [/tex]
[tex] t_{F_{A}} = \frac{15 s}{1/10 miles}*5 miles = 750 s [/tex]
Person B:
[tex] t_{F_{B}} = \frac{t_{B}}{d_{B}}*d_{T} = \frac{48 s}{3/8 miles}*5 miles = 640 s [/tex]
Hence, Person B wins the race.
b) The difference in the finish times is:
[tex] t_{F_{A}} - t_{F_{B}} = 750 s - 640 s = 110 s [/tex]
Therefore, the difference in the finish times of the competitors is 110 s.
I hope it helps you!
Find the slope of the following graphs.
A. 3/2
B. 1
C. -1
D. - 3/2
what is the percent rate of change in function y = (0.98) ^ x? determine whether the function represents exponential growth or exponential decay
C. 2%; exponential decay
You can use the fact that increasing power of values lying between 0 and 1 results in less and less values.
The percent rate of change in given function is -2%
The function represents exponential decay.
Given that:The function: [tex] y = (0.98) ^ x[/tex]To find:Percent rate of change in given function.Is it representing exponential growth or exponential decay?Finding percent rate of change in given function:
For finding this, first find how much the output y changes if we change x from x to x + 1.
Output when x = x: [tex]y = (0.98)^x[/tex]
Output when x = x+1: [tex]y = (0.98)^{x+1}[/tex]
Difference in output if x goes from x to x+1: [tex](0.98)^{x+1} - (0.98)^x = (0.98)^x(0.98 - 1) = -0.02 \times (0.98)^x[/tex] (this change occurs if we increase input x by 1 unit, thus this also represents the rate)
Rate of change of function per unit increment = [tex]-0.02 \times (0.98)^x[/tex]
The percentage of rate of change is found as:
[tex]\text{Percent rate of change\:} = \dfrac{\text{Rate of change} \times 100}{\text{previous value}} = \dfrac{-0.02 \times (0.98)^x \times 100}{(0.98)^x} \\\\ \text{Percent rate of change\:} = -2\%[/tex]
Thus, the percent rate of change is -2%
The negative sign shows that the value is decreasing, thus showing that function shows exponential decay.
Learn more about exponential growth or decay here:
https://brainly.com/question/11743945
just question # 2 I'll give you 15 points and brainly
can someone please help me
Answer:
12
Step-by-step explanation:
Pls help I’ll make u brainly
Answer:
3x-2 = 4 or x = ²/3
Step-by-step explanation:
we have full bars of X's so that represents 3 because we have 3 of them and we subtract the 2 (-1)'s we also have and since it is an equation it is supposed to equal something so in this case it equals 4 (1)'s .
If you solve the equation you get x =²/3
a car is traveling at a constant velocity of 60km/h east for 4 hours. choose the correct statement about the acceleration of the car
f(x)=-x^2-14 find f(9)
Evaluate the function
f(x)=x2−14 is the answer
find the missing side length
Not done just yet!
Let’s do this!
Answer: A and C
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
The expression equals 0. Because 6+(-6) equals 0 that is the true statement. Enjoy your answer.
Pls help!
Find the Area of the following composite figure. (Round to one
decimal place if necessary)
Answer:
A=132in^2
Step-by-step explanation:
A=1/2(a+b)h
A= 1/2(6+16)12
A= 1/2(22)(12)
A= (11)(12)
A= 132
Samantha buys a shirt that costs $28.50. She uses a
30% coupon. What will Samantha pay for the shirt?
Which is a composite number
81
61
71
41
Answer:
81
Step-by-step explanation:
A composite number has factor more than just one and itself.
Factors of 81=
1, 3, 9, 27, 81
please help and please explain how you got the answer, thank you!!
Answer:
327
Step-by-step explanation:
[tex]\frac{(3+9)8}{2} (2)+9(11)+8(11)+3(11)+10(11)=96+88+33+110\\ = 327[/tex]
Answer:
60
Step-by-step explanation:
So we have all four side lengths: 8, 3, 10, and 9. Since there's one diagonal side, the best way to solve this is to split the shape in two. So the area of the first shape would be 24 because 8 x 3 is 24. The other one would be different. The side length is 8, so we multiply 9 by 8 and get 72. But since it's a triangle, we have to divide that by 2. Then we get 36. If you add 36 and 24, you get 60. That would be your area.
If the sin 30° is one half, then the cos ________° = ________.
60°; one half
30°; square root 2 over 2
60°; square root 3 over 2
30°; 1
Step-by-step explanation:
[tex]sin(a) = cos(90 - a)[/tex]
60°= one half
Answer:
The answer and most correct out of the options given is answer "A."
Step-by-step explanation:
Took the test, the person above is right I can confirm. I know a lot of people want confirmation for these answers.
Write the equation in standard form:
y + 5 = - (x + 3)
Answer:
x + y = -8
Step-by-step explanation:
Simplify 2x + 8x + 3 + 9 by combining like terms
Answer:
10x+12
Step-by-step explanation:
Answer:
10x+12
Step-by-step explanation:
I combined the like terms
Alice has 8 acres of orchards.
Alice grows apple trees in 4 acres of the orchards
She grows pear trees in the rest.
How many acres of pear trees does Alice have?
Answer:
4
Step-by-step explanation:
8-4=4
difference in acres
The Fun Guys game rental store charges an annual fee of $5 plus $5.50 per game
rented.
The Game Bank charges an annual fee of $11 plus $2.50 per game.
For how many game rentals will the cost be the same at both stores?
Answer:
2 games
Step-by-step explanation:
Given data
The Fun Guys game
charges annual fee of $5 plus $5.50 per game
let the number of games be x
and the total charges be y
The expression for the total is
y=5+5.5x---------------1
The Game Bank
charges an annual fee of $11 plus $2.50 per game.
y=11+2.5x---------------2
Equate 1 and 2 above
5+5.5x=11+2.5x
collect like terms
5.5x-2.5x= 11-5
3x= 6
divide both sides by 3
x= 6/3
x= 2
It will take 2 games
PLZ HELP PLZ HELP PLZ HELP PLZ HELP
Division as Fractions - Word
Name
cach problem. Make sure to write your answer as a fraction.
Henry wanted to collect 65 pounds of cans in 7 days. How much should he
collect each day to reach his goal? Which two whole numbers does your
answer lie between?
Answer:
The answer lies between 9 and 10.
Step-by-step explanation:
It is given that:
Pounds of cans to be collected = 65 pounds
Number of days = 7
Cans per day = [tex]\frac{Total\ pounds}{Days}[/tex]
Cans per day = [tex]9\frac{2}{7}[/tex]
As 2/7 is less than one.
Therefore,
The answer lies between 9 and 10.