Answer: =−13 1/3
Step-by-step explanation:
Yossi used to have a square garage with 250 ft 2 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?
Answer:
5√10 ≈ 15.81 ft5√15 ≈ 19.36 ft22.47%Step-by-step explanation:
You want to know the length of the sides of a 250 ft² square, and one with an area 50% larger. You also want to know the percentage change in side length.
Side lengthThe area of a square is given by the formula ...
A = s²
Solving for the side length (s), we find ...
s = √A
The side length of a square with 250 ft² area is ...
s = √250 ft = 5√10 ft ≈ 15.81 ft . . . side length
The area of a square that has 50% more area is ...
(250 ft²) × (1 +50%) = 375 ft²
The side length of that square is ...
√375 ft = 5√15 ft ≈ 19.36 ft . . . side length
Percentage changeThe percentage change can be found from ...
percentage change = ((new value)/(old value) -1) × 100%
= ((5√15)/(5√10) -1) × 100% = (√1.5 -1) × 100% ≈ 22.47%
The percentage increase in the length of one side is about 22.47%.
what is an equivalent fraction for 6/10
Answer:
3/5, 9/15 - some equivalent fractions for 6/10
4 friends buy 16 pizzas. Each pizza is cut into
12 pieces. Each person eats the same number
of pieces.
How many pieces does each person eat?
You are buying a house and will borrow $330,000 on a 25-year fixed rate mortgage with monthly payments to finance the purchase. Your loan officer has offered you a mortgage with an APR of 4.15 percent. Alternatively, she tells you that you can “buy down” the interest rate to 3.8 percent if you pay points up front on the loan. A point on a loan is 1 percent (one percentage point) of the loan value. How many points, at most, would you be willing to pay to buy down the interest rate? (Do not round intermediate calculations and round your answer to 3 decimal places, e.g., 32.161.)
The number of points the borrower needs to buy down interest rate to 3.8% is 0.350 points
What is the desired annual percentage rate for the borrower?
The desired annual percentage rate(APR) for the borrower is 3.8% whereas the the loan officer offer is 4.15%, which means that the borrower needs to buy the interest rate from 4.15% to 3.8%
difference in interest rate=4.15%-3.8%
difference in interest rate=0.35%
We need to translate the reduction in interest rate of 0.35% to points , bearing in mind that the 1% is the same as 1 point
number of points required to buy down interest=1 point*0.35%
number of points required to buy down interest=0.350
In essence, the home loan borrower needs to buy down interest by 0.350 points in order to achieve the desired loan APR of 3.8%
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Expand and simplify 4(2x - 1) + 3(2x + 5)
Answer:
14x+11
Step-by-step explanation:
On a map of the Thunderbird Country Club golf course, 1.5 inches equals 15 yards. How
long is the 15th hole if the map shows 17.5 inches?
175 yards long is the 15th hole if the map shows 17.5 inches.
hole = c yards
1.5 / 15 = 17.5 / c
1.5 c = 15 * 17.5
1.5 c = 262.5
c = 175 yards
A length unit equal to 36 inches, or 3 feet (see foot), in the United States Customary System, or 0.9144 metre in the International System of Units. A cloth yard is 37 inches long, and it was also the standard length for arrows.
The yard is an English unit of length that equals 3 feet or 36 inches in both the British imperial and US customary measurement systems. Since 1959, it has been standardized as 0.9144 meter by international agreement. One mile is equivalent to 1,760 yards. The survey yard in the United States is slightly longer.
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help pleaseeeeeeeeeeee
The value of h(-2) is 65
What is a function?A function can be defined as an expression, law , rule of hypothesis that explains or compares the relationship between two variables - the dependent and the independent variable.
Given the function;
h(x) = 2x^4 - x³ + 2x² - 7x + 3
To determine the function, h(-2)
We substitute the value of x as -2 into the function, we have;
h(-2) = 2(-2)^4 - (-2)^3 + 2(-2)^2 - 7(-2) + 3
expand the bracket
h(-2) = 2(16) - 2(-8) - 7(-2) + 3
h(-2) = 32 + 16 + 14 + 3
h(-2)= 65
Thus, the value of h(-2) is 65
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i need help with this
Answer:
x=82
Step-by-step explanation:
Because of Supplementary angles we know that x+10 degrees and x+6 degrees is 180 degrees. We combine this to form 16+2x=180
subtract 16 from both sides. 2x=164
divide both sides by 2
x=82
PLS HELP RUNNING OUT OF TIME
The x-intercept of a line is -5 and the y-intercept of the line is -2. What is the equation of the line?
A. y = - 5/2x -5
B. y = 2/5x + 2
C. y = 5/2x - 2
D. y = -2/5x - 2
The equation of the line is y = - (2 / 5) · x - 2. (Correct choice: D)
How to derive the equation of a line based on information about two intercepts
Lines are represented by first grade polynomials of the form y = m · x + b, where m and b are the slope and the y-intercept of the line, and x and y are the independent and dependent variables, respectively.
We can find the values of the slope and the y-intercept by knowing the location of two distinct points on Cartesian plane. If we know that (x₁, y₁) = (- 5, 0) and (x₂, y₂) = (0, - 2), then the equation of the line is:
- 5 · m + b = 0 (1)
b = - 2 (2)
The solution to the system of linear equations is (m, b) = (- 2 / 5, - 2). Lastly, the equation of the line is y = - (2 / 5) · x - 2. (Correct choice: D)
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(55 times 2) divided by 5+ 13-7= PEMDAS
55*2=110
110 divided by 5= 22
22+13=35
35-7=28
Answer:
18.33
Step-by-step explanation:
multiply 55×2 you get 110
then since it is +13-7 + is bigger than - ( positive is greater than negative)
it will be 6
so 110 ÷6 = 18.3333333 you put it into 4digits
The answer is 18.33
Hope it will help
Four fifths is equal to ten sixteenths of a number.
The Four-fifths is equal to ten-sixteenths of a number is x=32/25.
Given the statement is four-fifths is equal to ten-sixteenths of a number.
A mathematical statement is a meaningful component of words that can be true or false. Simply, they are known as a statement.
Let us assume the given number be x.
According to the given statement,
Four fifths means 4/5. ......(1)
And ten sixteenths means 10/16.
It is also given that ten sixteenths of a number means is (10/16)x. .......(2)
Now, we will equate equation (1) and equation (2) according to the given statement is
4/5=(10/16)x
Further, we will cross multiply both sides, we get
4×16=10x×5
64=50x
Now, we will divide both sides by 50, we get
64/50=50x/50
64/50=x
32/25=x
Hence, the number for the given statement "Four fifths is equal to ten sixteenths of a number" is 32/25.
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Can you please help me
Answer:1=a
2=b
3=c
Step-by-step explanation:
Please help it’s due tomorrow
Answer:
Step-by-step explanation:
Can someone help wit this problem I’m confused on it
Answer:
1/9
Step-by-step explanation:
When the quantities are proportional, you are able to find the constant of proportionality by y/x. If you take each one of the y's listed and divide it by x, you will get 1/9.
For example 1 2/9 ÷11
1 2/9 is the same at 9/9 + 2/9 or 11/9
[tex]\frac{11}{9}[/tex] ÷ 11 is the same as [tex]\frac{11}{9}[/tex] ÷ [tex]\frac{11}{1}[/tex] To divide with fractions, you multiply by the reciprocal.
[tex]\frac{11}{9}[/tex] x [tex]\frac{1}{11}[/tex] The 11 can cancel out and we are left with [tex]\frac{1}{9}[/tex]
Answer: r = [tex]\frac{1}{9}[/tex]
Step-by-step explanation:
y = rx
finding r (substitute y and x):
5 = r x 45
5/45 = r
r = [tex]\frac{5}{45} = simplify = \frac{1}{9}[/tex]
checking:
rx = y
[tex]\frac{1}{9}[/tex] x 11 = 1 [tex]\frac{2}{9}[/tex]
[tex]\frac{11}{9}[/tex] = 1 [tex]\frac{2}{9}[/tex]
convert mixed fraction into improper fraction
[tex]\frac{11}{9}[/tex] = [tex]\frac{11}{9}[/tex]
correct
In an orchard, there are 15 apple trees, 23 orange trees, and a cherry tree. What is the ratio of apple trees to orange trees?
Type an equation for the following pattern.
write in a number in which the value of the 8 is ten times greater than the value of the 8 in 8304?
Thee number in which case has the value of the 8 ten times greater than than the value of the 8 in 8304 as required in the task content is; 83450.
Which number has the value of the 8 is ten times greater than the value of the 8 in 8304?It follows from the task content that the number which satisfies the condition that, the value of its 8 is ten times greater than the value of the 8 in 8304 is to be determined.
It follows from place value that the 8 in 8304 has a value of; 8 × 1000 = 8000.
Hence, an example of a number that is ten times greater is; 10 × 80,000.
Ultimately, an example of the required number as in the task content is; 83450 where it's 8 digit is ten times greater than that in 8304.
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(LOTS OF POINTS ANSWE FAST) multiply (5 4/7) (-2 2/5)
Answer:
-13 13/35
Step-by-step explanation:
Answer:
The answer is C
Step-by-step explanation: Just took it
Please help me! I have a fe of this for me to finish my homework! Please
What are the coordinates for the image of the figure E(0,4), F(2,2), G(0,0), D(-4,3) if it has been dilated with a scale factor of 1/4
Answers:
E ' = (0, 1)
F ' = (0.5, 0.5)
G ' = (0, 0)
D ' = (-1, 0.75)
Notes: 0.5 = 1/2 and 0.75 = 3/4
================================================
Explanation:
Assuming the origin is the center of dilation, then we multiply each coordinate by the scale factor of 1/4 = 0.25
For instance, the point E(0,4) moves to E ' (0, 1) since
x coordinate: 0*0.25 = 0y coordinate: 4*0.25 = 1Do the same for the other points.
Factorize this does it have Any breaking form??
4a^2+4a-5
Answer:
[tex](2a + 1+\sqrt{6})(2a + 1-\sqrt{6})[/tex]==========================
Identities we will use:
[tex]a^2+2ab+b^2=(a+b)^2[/tex][tex]a^2-b^2=(a+b)(a-b)[/tex]===========================
Given expression:
[tex]4a^2+4a-5[/tex]Factorize it by completing the square and setting the difference of squares:
[tex]4a^2+4a + 1-6=[/tex][tex](2a)^2+2*1*2a + 1^2-6=[/tex][tex](2a+1)^2-6=[/tex][tex](2a + 1+\sqrt{6})(2a + 1-\sqrt{6})[/tex]Jasmine received a $140 paycheck from her job at the supermarket today. If she spends $10 every day at Starbucks, in how many days will she have exactly $30 left? Represent and solve this problem by creating a table graph and equation.
Please Help Me ;-;
[tex]||3x-1|+5|\ \textless \ 1[/tex]
The value of x based on the equation illustrated as 3x - 1 + 5 < 1 is x < 1.
How to illustrate the information?It should be noted that an equation is simply used to show the relationship between the expression or variables.
From the information, 3x - 1 + 5 < 1.
Collect like terms
3x - 1 + 5 < 1.
3x < 1 + 1 - 5
3x < -3
Divide
3x / 3 < -3 / 3
x < 1
Therefore, the value of x based on the equation illustrated as 3x - 1 + 5 < 1 is x < 1.
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Evalute f(x) = x² + 1 for f(10)
Answer:
101
Step-by-step explanation:
Because if f(x) = [tex]x^{2}[/tex] + 1 and f(x) is f(10), this means that x = 10. If x = 10, then you can plug that into the equation, getting you [tex]10^{2}[/tex] + 1. [tex]10^{2}[/tex] is 100, plus 1 is 101.
Hope this helps!
Last month, Alma was able to volunteer in a community pet shelter for 2,760 minutes. How many hours did she volunteer?
The number of hours Alma volunteered is 46 hours.
What is time conversion?
The process of time conversion changing or converting the unit of time from one unit to another.
For example, it can be converting seconds to minutes, converting minutes to hour or converting hours to minutes or hours to seconds.
Basically, time can be converted from one unit to another.
The number of hours Alma volunteered is calculated as follows;
60 minutes = 1 hour
2,760 minutes = ?
= (2760 x 1) / 60
= 46 hours
Thus, the number of hours Alma volunteered is 46 hours.
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Answer:
Step-by-step explanation:
46
A triangle has a perimeter of 13. If it has
sides of x/2,( x – 5), and (x - 2) lengths,
then:
a) find the value of x
b)find the length of the longest side
find the value of x.
find length of the longest side.
Step-by-step explanation:
perimeter=s+s+s
p=x/2+x-5+x-2
13=x/2+x-5+x-2
26=x+x+x-10-4
26=3x-14
26+14=3x
3x/3=40/3
x=13.3cm
b.
x/2=6.65
x-5=8.3
x-2=11.3
longest side=11.3cm
Factor 2x² + 8x - 90 completely.
O a
Ob
OC
Od
(2x +9)(x - 5)
(2x-9)(x - 5)
2(x + 9)(x - 5)
2(x-9)(x - 5)
A
Please helppp
Factors of the polynomial 2x² + 8x - 90 is Option (c) 2(x + 9)(x - 5).
What is Factorization?Factorization is the method used to discover the factors of a given value or mathematical statement. A factor is an integer that is multiplied by another to create the original number. For instance, 2, 3, 6, 9, and 18 are the factors of 18. Likewise, in the case of polynomials, the factors are the polynomials that are multiplied to create the initial polynomial.
Given Equation: 2x² + 8x - 90
Step 1: Pull out like factors from the equation
⇒ 2x² + 8x - 90 = 2 • (x² + 4x - 45)
Step 2: Factorize by splitting the middle term of the equation (x² - 4x - 45)
⇒ x²+ 9x - 5x - 45
Step 3: Take Common factors from the two pairs of the equation
⇒ x(x + 9) - 5(x + 9)
Step 4: Rewrite the polynomial in factored form
⇒ 2(x + 9)(x - 5)
Therefore the factorization result is 2(x + 9)(x - 5).
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one mousetrap car contestant researched the speed of actual race cars. he found that when nascar drivers race on the phoenix international raceway they make 312 laps. in april 2009 the race that was held there lasted for about 3 hours. what was the approximate rate the racers were traveling one mouse trap car contestant research the speed of actual race cars he found that one NASCAR drivers race on the Phoenix International Raceway they make 312 laps in April 2009 the race that was held there lasted for about 3 hours what was the approximate right the races were traveling
Answer:
104 mph
Step-by-step explanation:
The Phoenix International Raceway is 1 Mile so they did 312 miles in 3 hours.
Rate = Distance/Time
R = 312/3 = 104/1
The racers were traveling at 104 miles per hour.
A tower has a revolving restaurant 785 feet above the ground. The restaurant makes a
complete revolution every 90 minutes. While a visitor was at the tower, the restaurant
rotated through 82°. How long was the visitor at the tower?
The visitor was at the tower for ______
minutes.
Answer:
1 revolution is 360 degrees
1 hour = 60 minutes
360/60 = 6
so it rotates 6 degrees every minute
135/6 = 22.5 minutes
I=Prt. You borrow $10,000 from the bank at a 8% rate for 5 years. Find
the simple interest you will pay on this loan.
Answer:14 000
Step-by-step explanation:
Simple interest formula: A=P(1+in)
A= amount after interest is added
P= initial amount (10000)
i= interest rate (8%)
n= number of periods (5 years)
Now substitute what you have into the simple interest formula:
A=P(1+in)
A=10000(1+(8/100)(5))
A= 14 000
The reason why 8 is divided by 100 is that 8 is a percentage. Unless you have a percentage function on your calculator, I'd strongly encourage you to ALWAYS divide your percentages by 100.
