Answer:
Your answer is 105km travelled in 7 hours.
Step-by-step explanation:
Divide 150km by 10 to find the amount of km travelled in 1 hour. Then multiply that answer by 7.
The width of a rectangular field is 20 feet less than its length. The area of the field is 12,000 ft? What is the length of the field?
80 ft
100 ft
120 ft
140 ft
Answer:
The answer is 120 feet.
Step-by-step explanation:
The area of the field (A) is:
A = w · l (w - width, l - length)
It is known:
A = 12,000 ft²
l = w - 20
So, let's replace this in the formula for the area of the field:
12,000 = w · (w - 20)
12,000 = w² - 20
⇒ w² - 20w - 12,000 = 0
This is quadratic equation. Based on the quadratic formula:
ax² + bx + c = 0 ⇒
In the equation w² - 20w - 12,000 = 0, a = 1, b = -20, c = -12000
Thus:
So, width w can be either
or
Since, the width cannot be a negative number, the width of the field is 120 feet.
The length of the field is 120 feet.
Option C is the correct answer.
What is a rectangle?A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
Let's start by using the given information to set up two equations:
Let x be the length of the field in feet.
Then, the width of the field is x - 20 feet.
The area of the field is given as 12,000 square feet:
x (x - 20) = 12,000
Expanding the left side of the equation, we get:
x² - 20x = 12,000
Bringing all the terms to one side, we get:
x² - 20x - 12,000 = 0
Now, we can solve this quadratic equation using factoring,
Completing the square, or the quadratic formula.
Here, we will use factoring:
x² - 20x - 12,000 = 0
(x - 120) (x + 100) = 0
The solutions are x = 120 and x = -100, but a negative length doesn't make sense, so we reject that solution.
Therefore,
The length of the field is 120 feet.
To check, we can substitute x = 120 into the equation for the width:
Width = x - 20 = 100 feet
Area = Length x Width
= 120 ft x 100 ft
= 12,000 sq ft
Thus,
The length of the field is 120 feet.
Learn more about rectangles here:
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The formular r= √A/P- 1 gives the interest rater that will allow principal P to grow into amount A in two years, if the interest is compounded annually. Suppose you have 5425
to deposit into an account. Find the interest rate you would need to have $470 in the account at the end of the second year.
The interest rate is 29.43%
How to determine the interest rate?The given parameters are:
Amount, A = $470
Principal, P = $5425
The formula of rate is given as:
r= √A/P- 1
Substitute known values
r= √470/5425- 1
Evaluate the difference
r= √470/5424
Evaluate the quotient
r= √0.08665
Evaluate the exponent
r= 0.2943
Express as percentage
r = 29.43%
Hence, the interest rate is 29.43%
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The measures of the angles of Triangular garden are in the ratio 2:5:5. What are the measures of the angles? Classify the triangle based on its sides :)
2x + 3x + 5x = 180
10x = 180
x = 18
2x = 36, 3x = 54, 5x = 90
They add up to 180 (definition of sum of angles of a triangle.)
please please please please help me
Sim porque positivo não fecha
A square fits exactly inside a circle with each of its vertices being on the circumference of the circle
an isosceles triangle has at least__congruent sides
Answer:
two
Step-by-step explanation:
an isosceles triangle has at least two congruent sides
Find the value of x.
Answer:
x = 25
Step-by-step explanation:
One can use the Line Tangent to a Circle theorem to solve this problem. The Line Tangent to a Circle theorem states that when two non-parallel lines are tangent to a circle (the lines touch the circle at a single point), then the distance between the intersection point and the point of tangency is the same for both lines. This theorem does go by other names, but the actual theorem content is the same.
Using this one can form the equation;
BA = CA
Substitute,
2x + 3 = 53
Inverse operations,
2x + 3 = 53
-3 -3
2x = 50
/2 /2
x = 25
Simplify -6w+(-8)+1+(-7w)
Answer:
[tex]-13w-7[/tex]
Step-by-step explanation:
1) Remove parentheses.
[tex]-6w-8+1-7w[/tex]
2) collect like terms.
[tex](-6w-7w) +(-8+1)[/tex]
3) Simplify.
[tex]-13w-7[/tex]
Therefor, the answer is -13w - 7.
Who understands how to do this mess?
Answer: 140
Step-by-step explanation:
Angle 4 and A are supplementary meaning they add to 180
Thus you can do 180-40 = 140 to get that angle A = 140.
Since the two lines are parallel, Angle A is congruent to Angle D. Then, since Angle D is opposite Angle 3, we know that that Angle 3 and Angle D are congruent.
A survey asked 12 students how many portable electronic devices they have in
their homes. The results are shown in the line plot below.
Based on the data in the line plot, calculate the following.
SHOW YOUR WORK! Each question is worth 2 points.
a) Mean (Round your answer to the nearest tenth.)
b) Median
c) Mode
d) Range
e) What percentage of the students have more than 3 portable electronic
devices in their home? Give your answer as a fraction, decimal, and percent.
Answer:
should be either b or c
Step-by-step explanation:
Answer:
Mean: 4.6666666
Mode: 5.5
Range: 6
75%
Step-by-step explanation:
Select the two
pairs of figures that are similar.
Answer:
the first 2 pairs are equal in shape and proportion.
Please give me the correct answer.Only answer if you're good at math.
Answer:
The first hour is 14 euros and each hour after that is 2 euros.
a jewellery shop is having a sale
a bracelet is now reduced to 420 pounds
this is 70% of the original price
A) workout the original price of the bracelet
a ring is now reduced to 840 pounds
this is a saving of 40% of the original price
b) workout the original price of the ring
Answer:
a) £600
b) £1400
Step-by-step explanation:
a)
original price = x
reduced price = £420
reduced price is 70% of original price
Since the discounted price, £420, is 70% of the original price, x, then
70% of x = 420
0.7x = 420
x = 420/0.7
x = 600
Answer: £600
b)
original price = x
discounted price = £840
discount percentage = 40%
The original price is x, and x is 100% of the original price since 100% is the whole amount. The discount is 40% of the original price. 100% - 40% = 60%. That means the discounted price is 60% of the original price.
60% of x = 840
0.6x = 840
x = 840/0.6
x = 1400
Answer: £1400
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find the value of the variable if necessary round your answer to the nearest tenth
Answer:
x = 24.7
Step-by-step explanation:
Here, we want to find the value of x
To do this, we are to use the appropriate trigonometric ratio
From what we have;
9 faces the angle given as it is the opposite, x is below and it is the adjacent
The trigonometric identity that links opposite to adjacent is the tan which is the ratio of former to latter
Thus, we have that;
tan 20 = 9/x
x = 9/tan 20
x = 24.7
You have $35 in your bank account and deposit $2.50 each week. At the same time, your cousin has $115 but is withdrawing $7.50 each week. When will the accounts have the same balance? How much will they have?
What are the variables and equations, and how do you solve?
Answer:
$55
Step-by-step explanation:
Let w = the no. of weeks
35 + 2.50w = amount you will have in the account after w weeks
115 - 7.5w = amount cousin will have in the account after w weeks
You need to set these expressions equal to each other.
35 + 2.50w = 115 - 7.5w Multiply thru the equation
by 10 to remove the fractions
350 + 25w = 1150 - 75w
100w = 800
w = 8 weeks
35 + 2.50w = 35 + 2.5(8) = 35 + 20 = $55
115 - 7.50w = 115 - 7.50(8) = 115 - 60 = $55
Can someone help me on this
Answer:
P = 44
Step-by-step explanation:
perimeter of a square = 4a
where a = side lenght
equation:
⇒ 4a
solve by substituting 11 for a
⇒ 4a
⇒ 4 x 11
⇒44
I don´t like math can I get some help with this math maze.
Answer:
Go down down and to the right
9(w + 6) simplified. please help!
Answer:
9w+54
Step-by-step explanation:
9(w + 6
distribute
9w+54
Three girls (Zeva, Abby and Jenny) went to a hair salon. Each girl had their hair styled (curly, straight, and wavy) and colored (blonde, red, and black). From the clues below, which chart correctly matches the girl, the hairstyle and the color?
Answer:
You need to make the question again and include the chart.
Step-by-step explanation:
Fill in the blank
When you multiply exponents with the same base, you _______ the base, and ________ the exponents
Answer:
multiply the base and add the exponents
mary works for a commission of 12% on all goods she sell for the month if her basic salary is 3000 per month and she sells $2500 worth of goods for a certain month calculate mary's gross salary for that particular month
Answer:
3300
Step-by-step explanation:
Formula
Gross Salary = Basic + Commission
Givens
Basic = 3000
% = 12%
Solution
Gross = 3000 + 12/100 * 2500
Gross = 3000 + 30000/100
Gross = 3000 + 300
Gross = 3300
Which is equivalent to 16^3/4
Answer:
1024
Step-by-step explanation:
Can someone please help me answer this??
In other words, y-2 goes in the first box and 5 goes in the second box.
=================================================
Work Shown:
y^2 - 4y - x + 9 = 0
y^2 - 4y + 9 = x
x = y^2 - 4y + 9
x = y^2 - 4y + 4 + 5 .... rewrite 9 as 4+5
x = (y^2-4y+4) + 5
x = (y-2)^2 + 5 .... apply the perfect square factoring rule
So we'll have y-2 go in the first box and 5 goes in the second box
note: One version of the perfect square factoring rule says (a-b)^2 = a^2-2ab+b^2.
help pls! ill mark best answer brainliest
pls help i will give you like and brainliest if you are correct!!!
Answer:
+9.2=7.6x
x+9.2=38x
______
5
Solution
=1.393939393
Name <2 in many different ways as possible.
Answer:
2 to two too
Step-by-step explanation:
thats how much i think
The school band is having a car wash to raise money. There goal is to collect $150. So far they have earned $10 each from three families and $5 each from 15 families.How much more money do they have to earn to reach their goal?
she’s not skinner than you...she’s just a picky eater.
go get that big mac you been wanting ❤️
Answer:
ok
Step-by-step explanation:
Answer:
huh????
Step-by-step explanation:
-1/4m + 5 = 16; m =
what does m =