A house has increased in value by 28% since it was purchase. if the current value is $416,000, what was the value when it what was purchased?
Answer: 300,000
Step-by-step explanation:
The straight line, Line L has an equation of 4x+y=7. Find the equation of the straight line perpendicular to Line L that passes through (-8,3)
Answer:
Step-by-step explanation:
y = -4x + 7
perp. 1/4
y - 3 = 1/4(x + 8)
y - 3 = 1/4x + 2
y = 1/4x + 5
The equation of the perpendicular line is y = 1/4x + 5
How to determine the line equation?The equation is given as:
4x + y = 7
Make y the subject
y = -4x + 7
A linear equation is represented as:
y = mx + c
Where m represents the slope.
This means that:
m = -4
A line perpendicular to 4x + y = 7 will have a slope of:
Slope = -1/m
This gives
Slope = 1/4
The equation of the line is then calculated as:
y = Slope(x - x1) + y1
This gives
y = 1/4(x + 8) + 3
Expand
y = 1/4x + 2 + 3
Evaluate
y = 1/4x + 5
Hence, the equation of the perpendicular line is y = 1/4x + 5
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Each time you take your dog to the dog park it costs $1.75. Write an expression that represents the cost of n visits to the dog park.
Answer:
1.75n
For each visit it costs 1.75, so n visits would be the product of the two.
Step-by-step explanation:
Answer:
1.75n
Step-by-step explanation:
"every time" means multiplication.
Total cost is $1.75 multiplied by n number of trips.
(for instance, if you take 3 trips, it would be 1.75+1.75+1.75, or 1.75*3)
please help me it's urgent
Q4:
second choice
Q5:
first choice
Hope I helped :)
The radius r of the base of a cone is given by the equation r=(3V/piH)
, where V is the volume of the cone and h is the height of the cone. Find the radius of the paper cup to the nearest inch. Use 3.14 for pi .
Answer:
1 inStep-by-step explanation:
Given the expression to calculate the radius r of the base of a cone is given by the equation
r=(3V/piH)
v is the volume = 5in^3
H = 4in
pi = 3.14
Substitute
r = 3(5)/3.14(4)
r = 15/12.56
r = 1.19
r = 1in to the nearest inch
Help I will be marking brainliest!!!!
A. 119.92
B. 80.49
C. 113.68
D. 175.49
===========================================================
Work Shown:
Because segment GI is parallel to segment TA, this means triangle VGI is similar to triangle VTA.
From that we can set up the proportion
VG/VT = VI/VA
which breaks down into
VG/(VG+GT) = VI/(VI+IA)
Let's plug in the given values. Let x be the length of segment IA.
Let's solve for x
VG/(VG+GT) = VI/(VI+IA)
72/(72+61) = 95/(95+x)
72/133 = 95/(95+x)
72(95+x) = 133*95 ......... cross multiply
6840+72x = 12635
72x = 12635-6840
72x = 5795
x = 5795/72
x = 80.4861111111111 ......... which is approximate
x = 80.49 ......... rounding to the nearest hundredth
The length of IA is roughly 80.49 units. This is not the final answer. The fact that 80.49 is listed as one of the answer choices seems to imply your teacher put it as a trick answer.
Since we found IA = 80.49, this means,
VA = VI + IA
VA = 95 + 80.49
VA = 175.49
This is the length of segment VA, which is the same as segment AV.
-----------------------------
Here's a slightly similar way to solve:
VT = VG+GT = 72+61 = 133
VG/VT = VI/VA
72/133 = 95/x
72x = 133*95
72x = 12635
x = 12635/72
x = 175.486111111111
x = 175.49 is the approximate length of segment AV.
An angle measures 170° less than the measure of its supplementary angle. What is the measure of each angle?
Given:
An angle measures 170° less than the measure of its supplementary angle.
To find:
The measure of each angle.
Solution:
Let x be the measure of supplementary angle.
Then, the measure of the angle is (x-170°).
Sum of supplementary angles is 180 degrees. So,
[tex]x+(x-170^\circ)=180^\circ[/tex]
[tex]2x-170^\circ=180^\circ[/tex]
[tex]2x=180^\circ+170^\circ[/tex]
[tex]2x=350^\circ[/tex]
Divide both sides by 2.
[tex]x=\dfrac{350^\circ}{2}[/tex]
[tex]x=175^\circ[/tex]
Now, the measure of the angle is
[tex]175^\circ-170^\circ=5^\circ[/tex]
Therefore, the measure of angle is 5° and the measure of its supplementary angle is 175°.
Answer:
175 , 5
Step-by-step explanation:
Amelia orders pancakes, a side of bacon, and orange juice. She also says that she will take care of the tax. How much does she owe?
Answer:
we need numbers please is this the full question?
The coorrdinate grids show the cost of different numbers of bookmarks .How many cents do 4 bookmarks cost?
Answer:
54 cents
Step-by-step explanation:
The cost of bookmarks relating to the number of bookmarks is shown in the coordinate grid. x represents the number of bookmarks and y represents the cost of each bookmark in cents.
The equation of a line passing through the points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
From the coordinate grid, it has the points (2, 30) and (7, 90). Therefore, the equation is:
[tex]y-30=\frac{90-30}{7-2}(x-2)\\\\y-30=12(x-2)\\\\y-30=12x-24\\\\y=12x+6[/tex]
Therefore the cost of 4 bookmarks (x = 4):
y = 12(4) + 6
y = 48 + 6
y = 54 cents
A high school reports that its students' SAT scores were down by 8% in one year. The next year, however, the test scores rose by 18%. The high school principal announces, "Overall, test scores have improved by 10% over the past two years."
Answer:
B
1.09 is the improvement in scores
Step-by-step explanation:
Here is the remaining part of the question : Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The statement is true because 18 - 10 = 8 and the percentage improvement is given by the difference in the percentages of the increase and decrease. B. The statement is false because the reference values for the decrease and increase are not the same. The true improvement over the past two years is (Simplify your answer. Type an integer or decimal rounded to the nearest hundredth as needed.)
let a = scores
If scores decreased by 8% last year, scores that year was (100 - 8%) = 92% = 0.92
scores last year = 0.92a
If scores increased by 18%. It means the score this year is 0.92a x 1.18 = 1.086a
Improvement in scores 1.09
Find the unit rate at which Jonas is paid.
Answer:
5 dollars per hour
Step-by-step explanation:
Answer:
5 per hour
Step-by-step explanation:
Divide 10 by 2 to get 5
57, 35, 9, 57, 2, 44
what is the probability of drawing two yellow marbles if the first one is placed back in the bag before the second draw. give your answer as a ratio reduced to simplest terms.
The probability that both marbles are yellow marbles is 1/25
How to determine the probability?The given parameters are:
Yellow = 2
Total = 10
The probability of selecting the first yellow marble :
P(Yellow) = 2/10
When the marble is returned, we have:
Yellow = 2
Total = 10
The probability of selecting the second yellow marble :
P(Yellow) = 2/10
The required probability is:
P = 2/10 * 2/10
Evaluate
P = 4/100
Simplify
P = 1/25
Hence, the probability that both marbles are yellow marbles is 1/25
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Please help! Find the area of this figure:
Answer:
this is an triangle.
so the area of triangle =1/2×base×hieght
so let fg be base
area of the triangle=1/2×6cm×5cm
area of triangle=15cm²
Subtract and simplify. Show work
(-5y^2 – 9y – 4) - (-2y^2– y + 8)
answer and ill mark you BRAINIEST
match each shape to the formula
shapes:
A. trapezoid
B. circle
C. rectangle
D. semi circle
E. triangle
formulas:
1. A= πr²
2. A= 1/2 base x height
3. A= 1/2 (base 1 + base 2 ) x height
4. A= 1/2 πr²
5. A= length x width
Answer:
Step-by-step explanation:
Circle - A = πr²
Semi circle - A= 1/2 πr²
Trapezoid - A= 1/2 (base 1 + base 2 ) x height
Rectangle - length x width
Triangle - A= 1/2 base x height
Answer:
(see below)
Step-by-step explanation:
A) Trapezoid
3. A = 1/2 (base 1 + base 2 ) x height
~
B) Circle
1. A = πr²
~
C) Rectangle
5. A = length x width
~
D) Semicircle
4. A = 1/2 πr²
This is half of a circle, so it would be 1/2 of the area of a circle, hence the 1/2.
~
E) Triangle
2. A = 1/2 base x height
If you cut a rectangle in half diagonally, you have two triangles. So it's half the area of a rectangle. This is one way to think about it, hence the 1/2.
Th GCF of two numbers is 3 and the LCM is 180. If one of the other number is 45, what is the other numbers?
Answer:
x = 12
Step-by-step explanation:
Given that,
GCF of HCF of two numbers = 3
LCM of numbers = 180
First number = 45
Let another number be x.
So,
HCF×LCM = first number × second number
[tex]x=\dfrac{3\times 180}{45}\\\\x=12[/tex]
So, the other number is 12.
Plz help will mark brainliest
Answer:
15m
Step-by-step explanation:
Since the square has an area of 9m^2 it has to have sides that are 3m. There are 3 sides that are 3m. An equilateral triangle has the same sides so it has 2 sides that are 3m. There are 5 sides that are 3m. The perimeter is 15m.
60,000 is borrowed for 10 years. If the interest on the loan is 49,321.74 , find the monthly payment
Answer:
911.0145
Step-by-step explanation:
60,000 is the initial cost to repay and you add 49,321.74 because of interest
60,000+49,321.74= 109321.74 this is the final cost with interest
you divide by ten because there are ten years and you want it to equal 1 year
109321.74/10= 10932.174 this is the cost per year
last you divide by 12 because thats how many months there are per year
10932.174/12= 911.0145 this is the cost per month
4(6-5x)^2+11=20
quadratic equations
Answer:
(x-114.5), (x-14.05)
Step-by-step explanation:
Answer attached
Ms. Sims made 32 braids in 40 minutes. At this rate, how many braids would she make in 60 minutes?
Answer: 48 in 1 hour
Step-by-step explanation:
32 divided by 40 = 0.8
0.8 times 60 = 48
hope this helped you out :))
Tyrone went to a basketball game and bought a jersey that was on sale at a 30% discount. He also bought a hat that cost $37.89. Tyrone spent a total of $83.39. Write an equation to find the original cost of the jersey
Answer:
Jersey cost (without discount)= $65
Step-by-step explanation:
First, we need to determine how much he spent on the jersey:
Jersey cost (with discount)= 83.39 - 37.89
Jersey cost (with discount)= $45.5
Now, the original cost of the jersey:
Jersey cost (without discount)= discount cost / (1 - discount)
Jersey cost (without discount)= 45.5 / 0.7
Jersey cost (without discount)= $65
Simplify the expression:
2 (5x) +7
Answer:
Step-by-step explanation:
to simplify you need to remove the parenthesis first , 2(5x)+7=
10x+7
who ever answers this will get 20 points and a 5 star rating
Seren draws a chick on graph paper using the scale shown below. The chick has a height of 5\,\text{cm}5cm5, start text, c, m, end text in the drawing.
Which of the following drawings best represents the height of the chick at the scale Seren chose?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
A chick on graph paper. A line labeled "10 units" shows the height of the chick. A 1-unit long scale is labeled, "half centimeter."
(Choice B)
B
A chick on graph paper. A line labeled "2.5 units" shows the height of the chick. A 1-unit long scale is labeled, "half centimeter."
(Choice C)
C
A chick on graph paper. A line labeled "5 units" shows the height of the chick. A 1-unit long scale is labeled, "half centimeter."
Answer:
its B
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Find the value of x and the length of bc
Answer:
x-2=3*9
x=29
BC=29-2=27
Step-by-step explanation:
Plz help I don’t want to fail
Answer:C
Step-by-step explanation:
Answer:
C. 3, 2, 0, -1, -3
Step-by-step explanation:
The more negative a number is, the lesser it is.
Count backwards: 4, 3, 2, 1, 0, -1, -2, -3, -4, ...
I hope this helped!
Help Pleases!!
2^4x=8^x-3
Answer:
Step-by-step explanation:
If you change the bases to the same number, the exponents must equal each other.
Write the linear equation for this table.
Answer:
its A
Step-by-step explanation:
Mrs. Brown drove 105 miles in 2.5 hours. What was Mrs. Browns speed in miles per hour?
Answer:
42mph.
Step-by-step explanation:
We know that the formula for miles per hour is.
r = d/t
R is our rate or miles per hour.
D is our distance.
T is our time.
In this case our distance is 105 miles.
And our times is 2.5 hours.
Therefore if we substitute them into our formula:
105mi ÷ 2.5hrs = 42mph
Hope this helped!
what is 32 divided by 13? please help!
Answer:
Step-by-step explanation:
32/13 = 2 6/13