Given:
Side length of square is x = 10 in.
To find:
Area of a square with side length x when x = 10 in.
Check whether the area of a square and the length of its side directly proportional.
Solution:
Area of square is
[tex]Area=(side)^2[/tex]
[tex]Area=x^2[/tex]
For x=10, we have
[tex]Area=(10)^2[/tex]
[tex]Area=100[/tex]
Therefore, the area of square is 100 sq. in. when x=10 in.
For x=1,
[tex]A_1=1^2=1[/tex]
[tex]\dfrac{A_1}{x_1}=\dfrac{1}{1}=1[/tex]
For x=2,
[tex]A_2=1^2=4[/tex]
[tex]\dfrac{A_2}{x_2}=\dfrac{4}{2}=2[/tex]
Here, [tex]\dfrac{A_1}{x_1}\neq \dfrac{A_2}{x_2}[/tex].
Since, [tex]Area=(side)^2[/tex] and ratio of area and sides are not always same, therefore the area of depends on the side but not directly proportional to its side.
The average of your 3 quiz grades is 17 points. Two of your quiz grades are 14 points and 19 points. Write and solve an equation to find the score of your third quiz.
Answer:
The equation would be 14+19+x=51, and the 3rd quiz score would be 18.
Step-by-step explanation:
To get to the average, you have to add all the quiz scores and divide by the number of quizzes. If you work backwards, you can multiply the average by the number of quiz scores, which is 51. Then you subtract the known test scores, and you get your answer.
Una persona ahora en el banco 1000 pesos, el cual le ofrece un interés fijo de 3%. La función que relaciona el dinero ahorrado que recibirá después de x meses de ahorro
Answer:
Interes= [Principal*(1+tasa de interes)^x] - Principal
Step-by-step explanation:
Dada la siguiente información:
Principal= $1,000
Tasa de interes= 3% anual = (0.03/12)= 0.0025 mensual
Número de periodos= x
Para calcular el interés ganado, hay que usa la formula siguiente:
Interes= [Principal*(1+tasa de interes)^x] - Principal
Por ejemplo, para 6 meses:
Interes= [1,000*(1.0025^6)] - 1,000
Interes= $15.09
Layla has a toy car collection of 400 toy cars. She keeps 85% of the toy cars on her wall. How many toy cars does she keep on her wall?
Answer:
340 cars
Step-by-step explanation:
400*0.85
which is 340
340 cars.
Hope this helps plz hit the crown :D
Find an equation for the perpendicular bisector of the line segment whose endpoints are (-1,5) and (7,9).
Answer:
say where we meet ❤️
Help me solve this problem please
Answer:
-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
I dont have an explanation, sorry
EASY QUICK POINTS
Read the list of properties below.
Two sets of parallel sides
Opposite angles that are congruent
Opposite sides that are congruent
Angles that do not measure 90°
Which polygon would have all of these properties?
rectangle
rhombus
square
trapezoid
the answer is rhombus...
Answer:
rhombus
Step-by-step explanation:
ite a number of your choice, using the followi a two digit number greater than 40 divisible by both 2 and 3
Answer:
60
Step-by-step explanation:
60 ÷ 2 = 30
60 ÷ 3 = 20
Have a nice day :)
Divide. Simplify so the quotient is in lowest terms.
1: 1/2 divided by 4
2: 1 3/4 divided by 1/8
please help me lol
1. 1/2 divided by 4 = 1/8 or 8.
2. 1 3/4 divided by 1/8 = 7/32.
In ARST, mZR = (5x – 11)", mZS = (3x – 3)°, and m_T = (3x + 18)º.
Find mZR.
Answer:
m∠R = 69
Step-by-step explanation:
m∠R + m∠S + m∠T = 180 {Angle sum property of triangle}
5x - 11 + 3x - 3 + 3x + 18 = 180
5x + 3x + 3x - 11 - 3 + 18 = 180 {Combine like terms}
11x +4 = 180
11x = 180 - 4
11x = 176
x = 176/11
x = 16
m∠R = 5x - 11
= 5*16 - 11
= 80 - 11
m∠R = 69
For what values of m are there 2 different distinct real solutions? Give your answer as an inequality. X^2-2x+m.
I'm not sure, but I think the formula is b^2-4ac>0
Answer:
m<1
Step-by-step explanation:
If the expression is in the form of [tex]ax^2+bx+c[/tex], then the condition for having 2 different real roots is
[tex]b^2-4ac>0\cdots(i)[/tex].
The given expression is [tex]x^2-2x+m[/tex].
Here, a=1, b=-2 and c=m.
So, by using equation (i),
[tex](-2)^2-4(1)(m)>0[/tex]
[tex]\Rightarrow 4-4m>0[/tex]
[tex]\Rightarrow 4m<4[/tex]
[tex]\Rightarrow m<4/4[/tex]
[tex]\Rightarrow m<1[/tex].
Hence, the condition for the expression [tex]x^2-2x+m[/tex] to have two different real roots is m<1.
I need help on this quesion. (Easy)
Answer:
the answer is C
Step-by-step explanation:
just divide 42.75 by 9
The yield of corn in bushels per acre and the amount of rain in the growing season.
Identify the explanatory variable and the response variable, if possible.
1. Amount of rain is the explanatory variable and yield of corn is the response variable.
2. Bushels per acre is the explanatory variable and amount of rain is the response variable.
3. Yield of corn is the explanatory variable and amount of rain is the response variable.
4. Amount of rain is the explanatory variable and bushels per acre is the response variable.
5. Rain is the explanatory variable and corn is the response variable.
Answer:
1. Amount of rain is the explanatory variable and yield of corn is the response variable.
Step-by-step explanation:
Explanatory Variable is the causal variable, which effects the other variable.
Response Variable is the resultant variable, which is effected by the other variable.
In this case, amount of rain effects the yield of corn (bushels per acre).
So, Amount of rain being causal effecting variable - is Explanatory Variable. Corn yield, being resultantly effected variable - is Response Variable.
not trying to do my work right help
Answer: you are correct. The answer is the first option and if you don't believe me look at my explanation.
Step-by-step explanation: Since a ratio can also be written as a fraction, 3:12 = 3/12. So what you do is simplify 3/12 to get 1/4 which equals 1:4.
20 POINTS! What is the ANSWER?
Answer: The first one
Step-by-step explanation:
Answer:
Sin(33°) = x\14
Step-by-step explanation:
coz sin = p\hWhat is the slope of the line through (-7,-8)(−7,−8)
Answer:
the slope would be 0
Step-by-step explanation:
this is because those are the same 2 points
plz help :(
1.Your brother and some of his friends, all under 12 years old, went to the movies. They paid $60 for their tickets. What equation could describe the situation?
2.Another family went to the movies. They bought some child tickets and some adult tickets and spent $96 altogether.
What equation could describe the situation?
How would the equation change if a child’s ticket cost $10?
How would the original equation change if the total price spent on the tickets were $156?
Answer:
1. 60=12y
60=5*12 y=5
2. a) 96=16x+12y
b) the 12y would be changed to 10y so, 96=16x+10y
c) 156=16x+12y the number of tickets will change if the total price goes up
Step-by-step explanation:
x= adult tickets
y=child tickets
im not sure but i think is bAnswer:
Step-by-step explanation:
b
b
b
b
bbb
b
b
b
b
b
b
b
b
b
b
b
b
b
b
b
b
b
b
b
Please help with the question below. I will give brainiest.
Answer:
a. y= -1221x+19820
b. For every year the car value decreases $1,221.
c. $11,273
Step-by-step explanation:
a. (y2-y1)/ (x2-x1)
(16157-17378)/(3-2)= -1221
For the y-intercept you would just add 1221 twice to the value of the 2 year old car, get the value of 0 years.
c. -1221(7) +19820 =$11,273
how to solve 2x^2-11x+12=0
Answer:
x= 3/2 and 4
Step-by-step explanation:
Use this method to solve;
First get the multiples of 12: -1, -12 -2, -6 -3, -4 (we use negatives, because we need a positive 12, and a negative 11).
Next, set it up like this: (2x - ) (x- ).
Then plug in (2x-3) and (x -4), and use rainbow to double check.
Then take 2x-3=0 and x -4 =0 to get x.
2x-3=0, add 3 to both sides, leaving you with 2x=3, then divide by 2 to get x alone which leaves x= 3/2, could use 1.5 or 1 (1/2) too.
Then do the same with x-4=0, add 4 to both sides leaving x= 4.
Answers are x= 3/2 and 4.
Albie's total income is $695.25 in a week
where his sales are $2870. If he earns a
commission of 7.5% of his sales, what is
his retainer? can you tell me how to work it out aswell please
Answer:
Step-by-step explanation:
7.5/100= .075
$580000 x .075 = $43,500 commission
Pls help i can’t figure this out
Step-by-step explanation:
1°.2°.3°.4°.5°.6°.7°.8°.9°.10°.11°.12°.13°.14°.15°.16°.17°.18°.19°.20°.
6. A farmer sows a certain crop. It costs $240,000 to buy the seed, prepare the ground, and sow the crop. In one year's time it will cost $93,200 to harvest the crop. If the crop will be worth $350,000, and the interest rate is 7%, what is the net present value (NPV) of this investment?
Answer:
$0
Step-by-step explanation:
Given that:
Preparation and sowing cost = $240,000
Cost of harvest after a year = $93,200
Worth of crop = $350,000
Interest rate (r) = 7% = 0.07
Net present value of Investment :
[(worth - Cost after 1 year) / (1 + r)] - initial investment cost
[(350,000 - 93,200) ÷ (1 + 0.07)] - 240,000
[256,800 / 1.07] - 240,000
$240,000 - $240,000
= $0
How many zeros does the function have?
f(x) = x^3 – 5x^2 – 8x + 48
Answer:
x^(3)+5x^(2)-8x-48=0
A dog walker earns $10 plus $3 per dog. What equation represents this model?
mx = pn , for x
Someone pleaseeeee help
Answer:
x=pn/m
Step-by-step explanation:
Divide both sides by m to isolate x from the other variables.
mx/m = pn/m
cancel out the m where possible.
x = pn/m
HELP ILL GIVE BRAINLIEST
Answer:
[tex]7.09*10^{8}[/tex]
Step-by-step explanation:
In scientific notation, a number less than 10 (in this case 7.09) is the base, and it is multiplied by 10 with an exponent (in this case 8).
Please help I'll give brainliest to right answer
20m + 6m − 17m = 9
What does "M" equal?
Answer:
m is 1
Step-by-step explanation:
ez mathzzzzzzzzzzz
(Solve by Graphing)
3x - 2y = 4
x + y = -7
Systems of equations solved by graphing please!
Answer:(2,-9)
Step-by-step explanation:
Helpppppp plzzz nowwww
Answer: side AB is 5.7 units
Step-by-step explanation:
If you look at the congruence marks on the angles, you can see that side AB and side KL correspond. Since we know KL is 5.7, AB must be 5.7 as well. :)
Write the sentence as an inequality.
One-half of a number y is more than 22.
The inequality is
Answer:
1/2y > 22
Step-by-step explanation:
This can also be written as
y/2 > 22
and
0.5y >22
Hope this helps!
What is the value of a?