Answer:
R=4
Step-by-step explanation:
a house with an original value of $210,000 increased in value to $300,000 in 5 years what is the ratio of the increase in value to the original value of the house ?
Answer:
6%per year
Step-by-step explanation:
210000/300000=.7
it increased by 30%
30/5=6%per year
The ratio of the increase to the original will be 0.43.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Original value = $210,000
Final value = $300,000
Increment = 300000 - 210000 = 90000
The ratio of increment to original
⇒ 90000 / 210000 = 0.43
Hence "The ratio of the increase to the original will be 0.43".
For more information about ratio and proportion,
brainly.com/question/26974513
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Solve for p if 2lpl = 4
O {-8, 8)
O{-4, 4)
O (-2, 2)
Answer:
Step-by-step explanation:
2|p|= 4
2p = 4
p = 2
-2p = 4
p = -2
(-2, 2)
The price of a ring was increased by 30% to £325. What was the price before the increase?
Please answer asap!!
Answer:
227.5
Step-by-step explanation:
Find the number that is increased by 30% to get to 325.
100-30 = 70.
In other words, what number is 70% of 325.
325 x .70 = 227.5
The original price of the ring was 227.5.
Check your work, 227.5 = 70% of X
227.5 / .70 = 325
Answer:
The cost before the increase is £250.
Step-by-step explanation:
Given that after 30% increases, the cost of the ring is £325 so we can assume that 130% is £325. Now, we have to form an expression in term of x where x represents the original cost :
[tex] \frac{130}{100} \times x = 325[/tex]
Next, we have to solve it :
[tex]x = 325 \div \frac{130}{100} [/tex]
[tex]x = 325 \times \frac{100}{130} [/tex]
[tex]x = 250[/tex]
The angles in a triangle are in the ratio 1:2:3. Show that this triangle is a right-angled triangle. The hypotenuse of the triangle is 19 cm long. Calculate the length of the shortest side in the triangle
Answer:
see explanation
Step-by-step explanation:
(a)
Sum the parts of the ratio , 1 + 2 + 3 = 6 parts
Divide sum of angles in a triangle by 6 to find the value of one part of the ratio.
180° ÷ 6 = 30° ← value of 1 part of the ratio
2 parts = 2 × 30° = 60°
3 parts = 3 × 30° = 90°
Since there is an angle of 90° then the triangle is right.
(b)
The shortest side is the side opposite the smallest angle of 30°
Using the sine ratio and the exact value
sin30° = [tex]\frac{1}{2}[/tex] , then
sin30° = [tex]\frac{opp}{hyp}[/tex] = [tex]\frac{opp}{19}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2 opp = 19 ( divide both sides by 2 )
opp = 9,5
Shortest side in the triangle is 9.5 cm
What's the length of side b in the figure?
Answer:
the answer is 91
you have to multiply 7 and 13 to get your answer
PLEASE HELP I WILL MARK YOU BRAINLIEST
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{32 \frac{6}{20} \: \: \: {ft}^{2} }}}}}[/tex]
Option D is correct.
Step-by-step explanation:
Length of the rectangle = [tex] \sf{6 \frac{4}{5} \: ft}[/tex]
Width of the rectangle = [tex] \sf{4 \frac{3}{4} } \: ft[/tex]
Finding the area of a rectangle having length of [tex] \sf{6 \frac{4}{5} \: ft}[/tex] and width of [tex] \sf{4 \frac{3}{4} } \: ft[/tex]
[tex] \boxed{ \sf{area \: of \: a \: rectangle = length \times width}}[/tex]
[tex] \dashrightarrow{ \sf{6 \frac{4}{5} \times 4 \frac{3}{4} }}[/tex]
Convert the mixed number into improper fraction
[tex] \dashrightarrow{ \sf{ \frac{6 \times 5 + 4}{5} \times \frac{4 \times 4 + 3}{4}}} [/tex]
[tex] \dashrightarrow{ \sf{ \frac{30 + 4}{5} \times \frac{16 + 3}{4} }}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{34}{5} \times \frac{19}{4}}} [/tex]
To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator
[tex] \dashrightarrow{ \sf{ \frac{34 \times 19}{5 \times 4}}} [/tex]
[tex] \dashrightarrow{ \sf{ \frac{646}{20} }}[/tex]
Convert the improper fraction into mixed number
[tex] \dashrightarrow{ \boxed{ \sf{32 \frac{6}{20} \: \: {ft}^{2} }}} [/tex]
Hope I helped!
Best regards! :D
how do I solve 3+k/14=4
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{k = 53}}}}}[/tex]
Step-by-step explanation:
[tex] \bigstar{ \sf{ \: \: \frac{3 + k}{14} = 4}}[/tex]
[tex] \tt{Step \: 1 \: }[/tex] : Do cross multiplication
[tex] \hookrightarrow{ \sf{3 + k = 4 \times 14}}[/tex]
[tex] \tt{Step \: 2}[/tex] : Multiply the numbers : 4 and 14
[tex] \hookrightarrow{ \sf{3 + k = 56}}[/tex]
[tex] \tt{Step \: 3 \: }[/tex] Move 3 to right hand side and change it's sign
[tex] \hookrightarrow{ \sf{k = 56 - 3}}[/tex]
[tex] \tt{Step \: 4 \: }[/tex] Subtract 3 from 56
[tex] \hookrightarrow{ \sf{k = 53}}[/tex]
The value of k is 53
Hope I helped!
Best regards! :D
~TheAnimeGirl
Answer:
Step-by-step explanation:
k/14 + 3 = 4
k/14 = 1
k = 14
F(x)=9(x-8) find f^-1(x)
Answer:
[tex]f^{-1}[/tex](x) = [tex]\frac{1}{9}[/tex] x + 8
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = 9(x - 8) ← divide both sides by 9
[tex]\frac{y}{9}[/tex] = x - 8 ( add 8 to both sides )
[tex]\frac{y}{9}[/tex] + 8 = x
Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus
[tex]f^{-1}[/tex](x) = [tex]\frac{1}{9}[/tex] x + 8
2x+y = 43
(2x+24-30)-2
solving multistep linear equations and inequalities
help me please
Answer:
Step-by-step explanation:
Part A:
C = 10t + s
Part B:
10(3) + 8
30 + 8 = $38
Function h is a transformation of the parent exponential function, $(=) = 2*
h(t) = -3 2-
Which statement is true?
O A
Function h is a horizontal translation of function f.
OB.
Function h is a reflection and a translation of function f.
C.
Function h is a vertical translation of function f.
D.
Function his a reflection and a dilation of function f.
Answer:
D. function h is a reflection and a dilation of functionStep-by-step explanation:
Parent function:
f(x) =2^xTransformed function:
h(x) = -3•2^xTransformation applied:
f(x) → -f(x) = reflection over x-axis = vertical reflectionf(x) → 3f(x) = dilation or vertical stretchCorrect answer choice is:
D. function h is a reflection and a dilation of function f
Please help me brainiest is award
Answer:
-3 >-5
5>-4
Step-by-step explanation:
Negative 3 is closer to zero so that statement is true. Also it's obvious 5 is greater than negative 4
hope this helps. Please mark me brainiest
Which point-slope equation represents a line that passes through (3,-2) with a slope of -4/5
O y-3 =-4/5(x+2)
Oy - 2 =4/5(x-3)
Oy+2=-4/5(x-3)
O y + 3 = 4/5(x+2)
Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question
the point is (3,-2) and slope - 4/5
The equation of the line is
[tex]y + 2 = - \frac{4}{5} (x - 3)[/tex]Hope this helps you
The point-slope equation of the line is given by:
[tex]y + 2 = -\frac{4}{5}(x - 3)[/tex]
What is the point-slope equation of a line?It is given by:
[tex]y - y_0 = m(x - x_0)[/tex].
In which:
m is the slope.[tex](x_0, y_0)[/tex] is the point.The line that passes through (3,-2) with a slope of -4/5, hence the parameters are given by:
[tex]x_0 = 3, y_0 = -2, m = -\frac{4}{5}[/tex]
Thus, the equation of the line is:
[tex]y - y_0 = m(x - x_0)[/tex].
[tex]y - (-2) = -\frac{4}{5}(x - 3)[/tex].
[tex]y + 2 = -\frac{4}{5}(x - 3)[/tex]
More can be learned about linear functions at https://brainly.com/question/24808124
Find the solutions to the equation -6y (5y + 9) = 0.
Step-by-step explanation:
The solution is too long so i m just giving u answer
[tex]y = (0 \: or \: - \frac{9}{5} )[/tex]
Ann's Paycheck showed a regular weekly salary of $835.50 a deduction of 13.29 a bonus of 34.35 and 28.95 for overtime. what is ANN's final pay?
Answer:
$885.01
Step-by-step explanation:
Answer:
$885.51
Step-by-step explanation:
$835.50-$13.29= $822.21
-The first step is to subtract the deduction. Deduction always means subtract.
$822.21+$34.35= $856.56
-Once you get the new total by subtracting the deduction, you have to add the bonus. Bonus always means add.
$856.56+$28.95= $885.51
-Finally, when you work overtime at a job, your employer is required by law to pay you extra. Add the overtime and get the final total of $885.51.
what is the quotient of a number and 5
Sorry but that's an unclear question, can you double check to see if you included everything, and also check to see the possible answers?
HELP ME PLEASE i need this
1.step:-lets name the corner point as in the first photo2.step:- Now find the area of triangle ABD= 1/2 ×4×8=163.step:- NOW find area of the triangle DBC=1/2 ×4×2=44.step:- Now add both triangle area 16+4=20 hope you understood ♤♤♤♤♤♤♤♤
You have $700 to buy new carpet for your bedroom right and solve in any quality that represents the cost per square foot that you can pay for the new carpet. Specify the units of measure in each step
If you can show the steps it’ll be helpful
Find and interpret the slope of the line containing the given points. (0,20) and (-8,0)
Answer:
The slope is: 20/-8, or -20/8
Step-by-step explanation:
to find the rate of change, you do change in y over change in x
so you minus the y numbers and minus the x numbers
so,
20-0/0-8 = 20/-8
or you can do
0-20/8-0 = -20/8
both of them are the same
sorry I'm really bad at explaining myself
hope this helps! :D
Answer:
Step-by-step explanation:
(0 - 20)/(-8 - 0)= -20/-8= 20/8= 5/4
Kristin earns $6.50 for every hour she babysits for the Overstreet family. (Part A:) Last Friday, Kristin babysat for 4.5 hours. How much money did she make during that job? Kristin earns $6.50 for every hour she babysits for the Overstreet family. (Part B): Mrs. Overstreet has told Kristin that she will pay her $45.50 for tomorrow's babysitting job. How many hours will Kristin babysit then?
Answer:
a)$29.25
b)7hours
comments if you need an explanation
Answer:
Part A: 29.25
Part B: 7 hours
Step-by-step explanation:
Part A :
6.50 times 4.5 equal 29.25
Part B:
45.50 divided by 6.5 equal 7
hopefully this helps you :)
pls give me brainlest :)
Level 4
5. A restaurant orders 132 bags of flour. Each box contains 4 bags of flour. Write an equation that
you can use to solve x the number of boxes they receive. Solve the equation.
132/4 = 33, x = 33 boxes
Answer:
4x=132
you divide by 4 on both side
x should be by it self
x=132/4
x=33
If you want make a harder equations use this
4x+10=142
subtract 10 9n both side
-10+10 +4x= 142-10
4x=132
divide by four on both side
x=132/4
x=33
help me if u can q is below
Step-by-step explanation:
C = 25p
p = number of people
C = Total cost of admission
For 4 people, Total cost is
C = 25 × 4 = 100 dollars
Evaluate the expression when y=-6.
y² +8744
Answer:
8780.
Step-by-step explanation:
-6 times -6 is 36 + 8744
Answer:
8780
Step-by-step explanation:
We simply substitute "-6" in for "y"
[tex]y^2 + 8744\\\\(-6)^2 +8744\\\\36 + 8744\\\\8780[/tex]
help me please!!!!!!!
Answer:
C (-6,-8) → C' (6,8)
D (-2,-8) → D' (2,8)
E (-2,-4) → E' (2,4)
F (-6,-4) → F' (6,4)
Step-by-step explanation:
When you rotate a point 180° counterclockwise about the origin, the point A (x,y) becomes A' (-x,-y). So, if the points are positive, they will become negative.
Because all the points are negative, rotating them 180° counterclockwise will make them positive.
Hope that helps.
(3x+4y=18) (5x+6y=28)
Answer:
x = 2, y = 3
Step-by-step explanation:
Given the 2 equations
3x + 4y = 18 → (1)
5x + 6y = 28 → (2)
Multiplying (1) by 5 and (2) by - 3 , then adding will eliminate the term in x
15x + 20y = 90 → (3)
- 15x - 18y = - 84 → (4)
Add (3) and (4) term by term to eliminate x
2y = 6 ( divide both sides by 2 )
y = 3
Substitute y = 3 into either of the 2 equations and solve for x
Substituting into (1)
3x + 4(3) = 18
3x + 12 = 18 ( subtract 12 from both sides )
3x = 6 ( divide both sides by 3 )
x = 2
Solution is (2, 3 )
pleaseee solve this peoplessss only the top
Answer:
3/5(0) = 0
3/5(5) = 3
3/5(10) = 6
Step-by-step explanation:
Sub the x (domain) into the equation and solve.
Answer:
x (0) = y (0)
x (5) = y (3)
x (10) = y (6)
Step-by-step explanation:
You substitute the given x in the table into the equation.
For example:
y= 3/5 (0)
= 0
is 8.33865… rational
Answer:
no, 8.33865... is not rational
Step-by-step explanation:
it's an irrational number
Evaluate the expression when a = 3, b = 2, and c= -3: (a³ + 2bc)/( c² -5)
3 - 5y = -37 for math 8th
Answer:
y = 8
Step-by-step explanation:
Step 1: Write equation
3 - 5y = -37
Step 2: Subtract 3 on both sides
-5y = -40
Step 3: Divide both sides by -5
y = 8
Find the distance between the point (-8,2) and (6,-1)
Answer:
3/14
Step-by-step explanation:
Go to cordinate plane and then find distance.