Answer:
Length of the original square garage = 16.7ft
Length of the new square garage= 20.5ft
Percentage increase in the length of the side = 23%
Step-by-step explanation:
Yossi used to have a square garage with 280 ft? of floor space. He recently built an
addition to it. The garage is still a square, but now it has 50% more floor space. What was the length
of one side of the garage originally? What is the length of one side of the garage now? What was the
percent increase in the length of one side?
Area of the original square garage = 280ft²
Area of a square = length²
280ft² = length²
Find the square root of both sides
√280ft² = √length²
16.7ft = length
Length of the original square garage = 16.7ft
Area of the new square garage = 280ft² + 50% of 280ft²
= 280ft² + 0.5 × 280ft²
= 280ft² + 140ft²
= 420ft²
Area of a square = length²
420ft² = length²
Find the square root of both sides
√420ft² = √length²
20.5ft = length
Length of the new square garage= 20.5ft
Percentage increase in the length of the side = (new - old) / old × 100
= (20.5 - 16.7) / 16.7 × 100
= 3.8 / 16.7 × 100
= 0.23 × 100
= 23%
Percentage increase in the length of the side = 23%
How do you use what you know about absolute value to add integers?
Solve for k.
6 + -4k = 18
k=
k=-3
6*(-4k)=18
subtract 6 from both sides
-4k=12
divide by -4 on both sides
k=-3
Answer:
[tex] \sf \: k = - 3[/tex]
Step-by-step explanation:
Now we have to,
→ Find the required value of k.
The equation is,
→ 6 + (-4k) = 18
Then the value of k will be,
→ 6 + (-4k) = 18
→ 6 - 4k = 18
→ -4k = 18 - 6
→ -4k = 12
→ k = 12 ÷ (-4)
→ [ k = -3 ]
Hence, the value of k is -3.
What is the prime factorization of 90?
====================================================
Explanation:
Divide by the smallest prime 2
90/2 = 45
Then divide by the next smallest prime 3 (since 2 won't go into 45)
45/3 = 15
Repeat the last step
15/3 = 5
We stop because the result is prime.
Note the denominators are 2, 3, 3. The final result is 5 which is prime.
So the prime factors are 2, 3, 3, and 5
They multiply to 2*3*3*5 = 90.
We can condense it to 2*3^2*5 = 90 because 3*3 = 3^2.
Answer and Step-by-step explanation:
The prime factorization of 90 is 2 × 3 × 3 × 5 or 2 × 32 × 5, where 2, 3, and 5 are the prime numbers. You can find "prime factorization" by following two simple steps. Step 1: Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers. Step 2: Write the number as a product of prime numbers.
Hope you found this helpful! Have a wonderful day! <3
URGENT HELP PLEASE!
What do the following two equations represent?
y-2= x+20
y-2= -(x+20)
a. The same line
(Choice B)
Distinct parallel lines
(Choice C)
Perpendicular lines
(Choice D)
Intersecting, but not perpendicular lines
Answer:
C
Step-by-step explanation:
Both the given equations are of Perpendicular lines.
What are Perpendicular lines?Perpendicular lines are defined as two lines that meet or intersect each other at right angles (90°).
Given are two equations of lines
y-2= x+20
y = x+20+2
y = x+22.....(i)
y-2= -(x+20)
y = -x-20+2
y = -x-18,,,,,,,(ii)
The slopes of the equation are 1 and -1, We know that perpendicular lines have slopes that are negative reciprocals of one another.
Hence, The lines given are perpendicular lines
For more references on perpendicular lines, click;
https://brainly.com/question/18271653
#SPJ3
Jimmy,Andrew, and Richard collect comic books. Jimmy has five more comic books than Andrew, and Richard has four times as many comic books as jimmy. Together they have 145 comic books. Fine the number of comic books each person has
Answer:
Jimmy = 25
Andrew = 20
Richard = 100
Step-by-step explanation:
J = Jimmys # of comics
J - 5 = Andrews # of comics
4J = Richards # of comics
6J - 5 = 145
+5 +5
6J = 150
divide by 6
J = 25
plug 25 into the if statements above for J
Please help! The selected one is wrong
Answer:
option b
Step-by-step explanation:
(fog)x = f(g(x))
Option b
= f(x - 5)
= [2 (x-5) ]² + 1
= [2x - 10]² + 1 ≠ h(x)
Given the following expressions:
A.5.5
B В
c. () (1)
D
Part I Use operations of exponents to simplity each expression (A-D). Include your work in your final answer
Part 2: For each simplified expression (AD) tell whether or not the expression has a value between 0 and 1
Which correctly Applies the distributaries property to show an equivalent expression to (-2.1)(3.4)
Answer:
(–2.1)(3) + (–2.1)(0.4)
Step-by-step explanation:
It's D
Answer:
D
Step-by-step explanation:
Took the test ;)
In the diagram, line segment CD is the perpendicular bisector of line segment AB, and E is a point not on either line that is on the same side of segment CD as point A.
Is point E closer to point A, closer to point B, or the same distance from both points? Explain how you know.
Answer:
E would be closer to A
explanation:
if they were the same distance from both A and E it would be a point on the line CD, and if it was closer to E it would be on the other side of line CD.
i hope this is right :/
A. A blue container weighs 20 pounds.
A red container weighs 5 pounds.
How much more does the blue
container weigh than the red
container?
Answer:
The blue container ways 15 more pounds.
Step-by-step explanation:
Subtract 5 from 20 and it gives you 15.
20- 5= 15
Help pleasee
Mazes has been saving $7 each week, today he spent $77 of the savings, and now he has $42 left,for how many weeks has he been saving
Answer:
17 weeks
Step-by-step explanation:
add 77 and 42 then divide by 7
Simply the equation 1 1/3
1.3 i think that is the answer
what’s the answer to 6(3x+4)?
Answer:
18x + 24
Step-by-step explanation:
Given
6(3x + 4) ← distribute by multiplying each term in the parenthesis by 6
= 18x + 24
Commutative Property of Addition
25 + (-x) =
Answer:
x is 25
Hope it helps.....
Round o.oo9 to the nearest hundredth.
Answer:
0.01
Step-by-step explanation:
When rounding to the nearest hundredth, you look in the thousandths place to see if the number is 5 or greater. In this case it is. The hundredths place then moves up one number.
=0.01
Hope this helps!
The endpoints of a line segment are (-2, -4) and (6, 2) What are the coordinates of the midpoint? 1. (2, 3) 2. (4,3) 3. (4, -2) 4. (2, -1)
Pattern x starting number 10 rule add 6
Answer:
16,22,28,34,40
Step-by-step explanation:
Pythagorean theorem
Answer:
8.7
Step-by-step explanation:
hypotenuse= 14 =c
a=11
b=x
a²+b²=c²
b²=c²-a²
b²=14²-11²
b²= 196-121
b²=75
b=√75=5√3=8.7 rounded to the nearest tenth
Final Answer:
x = 8.66
Step-by-step explanation:
formula: [tex]b=\sqrt{c^2-a^2}[/tex]
a = 11
b = x
c = 14
[tex]b=\sqrt{14^2-11^2}[/tex]
[tex]b=\sqrt{196-121}[/tex]
[tex]b=\sqrt{75}[/tex]
b = 8.66025
x = 8.66
rounded off to the nearest hundredths: 8.66
A shirt is on sale for 40% off. The sale price is $12. How much was the original price? *
Answer:
$20
Step-by-step explanation:
Let the variable x in this equation represents the original price of the shirt:
100% - 40% = 60%
60% of x = $12
0.6x = $12
x = $12/0.6
x = $20
explanation and working too please :))
Answer:
Each side is 4 cm.
Step-by-step explanation:
We need to try to express the perimeter of the figure in terms of "square sides". Basically, we're going to count how many square sides the perimeter is.
Starting from the top, the very top is 1 side.
Moving down to the right, we have another side.
Then half a side as we go to the right edge.
The right edge is 1 full side.
Another half side, going left.
Going down, we have 1 full side.
The other side is mirrored, meaning we just have to double this to get the full figure's perimiter.
Counting up our sides (we'll call one side [tex]s[/tex] ), we have:
1s + 1s + 0.5s + 1s + 0.5s + 1s = 4s + 0.5s + 0.5s = 5s
Doubling it:
5s * 2 = 10s
The whole perimiter is 8 square sides. Since we know the perimeter is 40 cm, we can find the length of one side by solving this equation:
10s = 40
Dividing both sides by 10:
s = 40/10 = 4
Answer: Each side is 4 cm.
Is the line passing through the points (−4,5)
and (1,10)
parallel to the line passing through the points (−18,−6)
and (−8,4)
?
A
No, because the slopes of the lines are the same, but the y-intercepts are different.
B
No, because the slopes of the lines are different.
C
Yes, because the slopes of the lines are the same, but the y-intercepts are different.
D
Yes, because the slopes of the lines are different.
Is -5 a whole number, integer or a rational number ?
Answer:
-5 is an integer.
Step-by-step explanation:
Answer:
it is an integer
Step-by-step explanation:
It's and integer because a whole number goes up higher but never pass 0
an integer has whole numbers and their negative counterparts it would be a whole if it was just 5 and not -5 and it would be rational if it were -5.5
PART A
Plot two points to form a square in the above graph.Label the points R and S. A square is a quadrilateral with all four sides of the same length. After plotting the points, trace the square by connecting the points.
PART B
To find the perimeter of a polygon, take the sum of the length of each side. What is the perimeter of the square that you created in part A? Round your answer to two decimal places.
Answer:
Perimeter = 28.84 m
Step-by-step explanation:
Since the other two points will make the shape to look like a square, each length of the square will be equal.
We can therefore find the length PQ by using the formula
L = sqrt ( [ X2 - X1 ]^2 + [ Y2 - Y1 ]^2
L = sqrt( [ -2 + 4 ]^2 + [ 4 + 3]^2
L = sqrt (4 + 49)
L = sqrt (52)
L = 7.2 m
Each length of the square is 7.2 m approximately
The parimeters will be:
Perimeter = 4L
Perimeter = 4 × 7.2
Perimeter = 28.84 metres
Therefore, the perimeter of the square is 28.84
if your birthday is September 1st 1998 how old are you
Answer:
22
Step-by-step explanation:
Subtract 2020 by 1998 to get 22
1) Listen
Elijah made 8 of the last 12 free throws he attempted at basketball practice.
What is the probability that he will make the next free throw he attempts?
Enter your answer as a fraction in simplest terms. For example, if your answer is , which reduces to enter it li-
Answer:
15
Step-by-step explanation:
f(x)= x/x-7
What is the domain of f?
Answer:
(-∞,7) U (7,∞)
Step-by-step explanation:
All real values of x such x ≠ 7
A teacher wanted to prevent students from guessing answers on a multiple-choice test. The teacher graded 5 points for a correct answer, 0 points for no answer, and -2 points for a wrong answer. Giselle answered 17 questions correctly, left 3 blank, and had 5 wrong answers. She also got 8 out of 10 possible points for extra credit. What was her final score?
Help WILL MARK AS BRAINLIEST WHAT IS 5 X 5 / 8 - 10 =
Answer:
- 55 = -6.88
8
Step-by-step explanation:
5 X 5 / 8 - 10
5² - 10
8
25 - 80
8
- 55 = -6.88
8
Steps to solve:
5*5/8-10
~Simplify
25/-2
~Simplify
-12.5
Best of Luck!
-2(x+1)(x-2) what is the y-intercept?
Answer:
The y-intercept is at 4.
Step-by-step explanation:
When trying to find the y-intercept, you want to substitute your x's with 0 as x must equal 0 for your y-intercept. This gives you -2(0+1)(0-2). From here, you want to simplify your parenthesis equations.-2(1)(-2) Then you want to solve which gives you 4.
What is the midpoint of (-2,-5) and (-6,3)? What quadrant is it in?
