QUADRATIC EQUATION – WORD PROBLEMS
The length of a playground is 15 meters more than the width and the area is 2700 . If the width is x m, find an equation in x and hence, find the dimensions of the classroom.
The answer width =45 m , length = 60 m
I just need the steps
Answer:
let the width of the playground be X
length will be (X+15)
area - length * width = 2700
(X+15)* X = 2700
x^2+15x-2700=0
x^2+60x-45x-2700=0
X(X+60)-45(X+60)=0
(X+60)(x-45)=0
x=45 because, the dimensions cannot be in negative
so length = 60 and width = 45
which number line model represents the expression -2+ (- 7/2)
Answer: -5.5
Step-by-step explanation:
(; -2= 7/2
-5+ 7 =12
12/2=5
Please plssss pls I’ll award you so much points!! <3
Answer:
Part 1
1.) -105
2.) 120
3.) 15
4.) -200
5.) 40
6.) 16
7.) 240
Step-by-step explanation:
1.) Do 7 x 15, which is 105, then since 15 is a negative and 7 is positive, the product is negative.
2.) Do 5 x 24, which is 120, and sine both 5 and 24 are negative, they cancel each other out and the product is positive.
3.) Do 75 / 5, which is 15, and since both 75 and 5 are negative, they cancel each other out and the quotient is positive.
4.) Do 25 x 8, which is 200, and since 25 is negative and 8 is positive, the product is negative.
5.) Do 120 / 3, which is 40, and since both 120 and 3 are positive, the quotient stays positive.
6.) Do 80 / 5, which is 16, and since both 80 and 5 are negative, they cancel each other out and the quotient is positive.
7.) Do 16 x 15, which is 240, and since both 16 and 15 are negative, they cancel each other out and the product is positive.
Hope this helps <3
Find the total mass of the triangular region shown below. All lengths are in cm, and the density of the region is sigma(x) = 1 + x grams/cm^2
Answer:
3 grams
Step-by-step explanation:
We are going to take the mass of a bunch of little strips below the triangle "roof." To do this, we must figure out what formula for the mass we'll use, in this case, we'll use:
Mass of strip = denisty * area = (1+x)*y*deltax grams
now, because the "roof" of the triangle contains two different integrals (it completely changes direction), we will use TWO integrals!
**pretend ∈ is the sum symbol
Mass of left part = lim x->0 ∈ (1+x)*y*deltax = inegral -1 to 0 of (1+x)*3*(x+1) = 3 * integral -1 to 0 of (x^2 + 2x + 1) = 3 * 1/3 = 1
Mass of left part = lim x->0 ∈ (1+x)*y*deltax = inegral 0 to 1 of (1+x)*3*(-x+1) = 3 * integral 0 to 1 of (-x^2 + 1) = 3 * 2/3 = 2
Total mass = mass left + mass right = 1 + 2 = 3 grams
The Law of Large Numbers states that as an experiment is repeated, the relative frequency of an event tends toward the real probability.
a. if the probability of a specific observed event is very small, it is unlikely that the assumption about the probability is correct.
b. the probability of obtaining a favorable outcome increases as the number of trials increases.
c. the sampling distribution of the sample mean will be approximately normally distributed as long as the sample size is sufficiently large.
d. the probability that an event will occur is derived from one's increasing knowledge of relevant circumstances.
Answer:
the probability of obtaining a favorable outcome increases as the number of trials increases
Step-by-step explanation:
The law of large numbers occupies an important place in probability statistics especially as it regards the outcome of experiments.
A simple statement of this law is that; when an experiment is independently repeated a large number of times, the average result, that is obtained is close to the expected value.
Hence, the probability of obtaining a favorable outcome increases as the number of trials increases.
let x be 3 and y be 4 and z is 5
x + y / xz
Answer:
7/15
Step-by-step explanation:
3 + 4 / 3 * 5
7 / 15
Answer:
[See Below]
Step-by-step explanation:
[tex]Hey~There![/tex]
_____________________
➜ First we have to turn to into a proper equation:
[tex]3+4[/tex] ÷ [tex]3*5[/tex]➜ Now we solve the two parts:
[tex]3+4=7[/tex][tex]3*5=15[/tex]➜ Then we can divide:
[tex]7[/tex] ÷ [tex]15=0.466666667...[/tex]_____________________
So your answer would be:
Full equation: [tex]3+4[/tex] ÷ [tex]3*5[/tex]Simplified Equation: [tex]7[/tex] ÷ [tex]15[/tex]Simplified Answer: [tex]0.47[/tex]_____________________
[tex]Hope~this~helps~Mate!\\-Your~Friendly~Answerer,~Shane[/tex] ヅ
will give brainlist plz help its for my 9 week exam
a. 228
b. 229
c. 172
d. 171
Answer:
I think its 229
if you take how many yellow marbles he got out of 7 it would be 3/7 and then I divided 400 by 7 and got 57. something so I multiplied 3 times 57 and got 171. So if you take 400-171 you get 229
A food bank sends a truck with 400 pounds of food pantries every week, and receives a government surplus shipment of 3,200 pounds every other week. If it has 10,000 pounds of food on hand at the beginning of July, how much will it have six weeks later?
slove for x 3x-24=81
Answer:
15
Step-by-step explanation:
Answer:
x = 35Step-by-step explanation:
[tex]3x-24=81[/tex]
Collect like terms and simplify
[tex]3x=81+24\\\\3x = 105[/tex]
Divide both sides of the equation by 3
[tex]\frac{3x}{3} = \frac{105}{3} \\\\Simplify\\\\x = 35[/tex]
What is the value of 2 5/8 divided by 7/10
Answer:
3 3/4
(Decimal: 3.75)
Step-by-step explanation:
15 points
Draw a square
side 5cm
Diagonal 5cm
how will i draw it
with both 5cm
Answer:
that's easy
Step-by-step explanation:
first we should check the 5 cm in scale .
Then we can easily draw 5 cm in side and diagonal.
hope it's clear to you.
The average temperature at the South Pole is -49.62°C, and the average temperature at the North Pole is -34.68°C. How much higher is the average temperature at the North Pole than at the South Pole?
A.
-84.3°C
B.
-14.94°C
C.
14.94°C
D.
84.3°C
Answer:
i am pretty sure it's -14.92
Step-by-step explanation:
Answer:
B!!!
Step-by-step explanation:
help help pls plz pls fast pls
Answer:
The third one
Step-by-step explanation:
Answer:
Hey mate......
Step-by-step explanation:
The third option is the correct one....
hope it helps,
mark me as the brainliest.....
follow me.....
8. The area of a square weightlifting platform is 16 m2. a) Sketch the platform. What are its dimensions? b) What is the perimeter of the platform?
Answer:
Step-by-step explanation:
Area of a square platform = Length × Length
A = L² (note that all the sides of a square are equal)
Given
A = 16m²
L² = 16
L = √16
L = 4m
Hence the dimension of the square is 4m by 4m (use the dimension when sketching the diagram. Al the sides is the diagram must be the same i.e 4m)
Perimeter of the square = 4L
P = 4(4)
P = 16m
Hence the perimeter of the platform is 16m
What’s the value of x ?
Answer:
6
Step-by-step explanation:
x = 6
12x + 3 = 11x + 9
112x - 11x = 9 -3
x = 6
The table represents a linear function.
What is the slope of the function?
-10
-5
5
10
What is 23.2639 rounded to the nearest hundredth?
Answer:
23.26
Step-by-step explanation:
I hope is helps and I hope you get right but I tried at least.
Answer:
23.26
Step-by-step explanation:
A simple search on rounding calculator and i took the k-12 test and got it right
DUE TODAY PLEASE HELP
Answer: 6. 113.398 7. 354.882 8. 4.82803
HOPE THIS HELPS!
Step-by-step explanation:
evaluate the expression if m = -5 and n = 7
|-m+n|
|m+n|
-|m+(-n)|
-|-m|+n
Answer:
n m
Step-by-step explanation:
mn
1 inch= 2.54 cm
How many centimeters equal 8 feet?
20.32 cm
96 cm
30.48 cm
243.84 cm
which fraction is equivalent to 0.36
Answer: 9/25, Percentage: 36%
You have discovered another alien.
What is the equation of the line that provides the
correct path to rescue this alien?
y = 5
y = x + 5
y = -x + 5
y = 5x
Answer is : y= -x + 5
Answer:
y=-x+5
Step-by-step explanation:
have a great day :))))
How many 1/8 teaspoons are equal to 4 3/4 teaspoons?
1. Convert fraction into same decimal.
To find this answer, we want to first convert the fraction so that the denominators are the same:
3/4 = ?/8
Divide the original denominator by the needed-to-be denominator.
8 / 4 = 2
Do reversal calculations
4 x 2 = 8
So, now that we know to multiply the original denominator by 2 to get the new denominator, multiple the numeriator by the same.
3 6
_ x 2 = _
4 8
So now, the new equation is:
How many 1/8 teaspoons are equal to 4 6/8 teaspoons.
(The reason why you must convert is because then you can simply say that the fraction is 6 1/8's, which means you just have to worry about the whole numbers.
2. Convert the whole numbers into a fraction to make it easier.
In order to convert whole numbers into fractions, first find the denominator your using. Which in this case, it is 8.
?/8
Now remember, for it to be a whole number, the numeriator and denominator MUST be the same.
8/8 = 1
Now remember, there are four 1's. Multiply the numeriator by 4, but keep the denominator the same or else the equation is ruined.
32/8 = 4
3. Add all your information together.
DO NOT forget to add the information you collected during the equation, or else you will get a wrong answer. Add the equation's final answer to the whole numbers final answer.
32 / 8 + 6 / 8 = ?
32 / 8 + 6 / 8 = 38 / 8
Well now, remember something. It is asking us, how many 1/8's were in the equation 4 3/4. We have transformed 4 3/4 into a whole equation, 38/8.
Now, all you need to do is look at the numeriator.
What number do you see?
You see 38.
The denominator is the correct denominator that you need. So, the number of the numeriator is the answer to the equation.
So, how many 1/8 are in 38/8?
38!
The number of ⅛ teaspoons will equal 4¾ teaspoons is; 38 teaspoons
We want to find how many ⅛ teaspoons will equal 4¾ teaspoons.
To start with, let us convert 4¾ teaspoons from mixed fraction to improper fraction to get;
4¾ teaspoons = 19/4 teaspoons
Now to find out how many ⅛ teaspoons will equal 19/4 teaspoons, all we need to do is to divide 19/4 by ⅛
Thus;
19/4 ÷ 1/8
>> 19/4 × 8/1
>> 38 teaspoons
In conclusion the number of ⅛ teaspoons that are equal to 4¾ teaspoons is 38 teaspoons.
Read more about division of fractions at; https://brainly.com/question/1622425
1.) A pipe bursts in your house and you call 2 plumbers for estimates. Plumber A says he
charges $40 to check the problem and $ 55 an hour to repair. Plumber B says he
charges $ 60 to check the problem and $ 40 an hour. If the repair takes 4 hours to
complete, which plumber would be a better option.
Answer: Plumber B
Step-by-step explanation:
Plumber A: First, multiply $55 times 4, then add the fee of $40. This will give you $260 as total. This is how much it would cost for Plumber A.
Plumber B: Multiply $40 by 4 and then add $60. This gives you $220, showing that Plumber B is a better option.
Answer:
Plumber B
Step-by-step explanation:
We could set up 2 expressions, and set the time to be 4 hours, and see which plumber costs less:
Plumber A: 40+55*4 = $260
Plumber B: 60+40*4 = $220
Plumber B is cheaper, so therefore he/she is the better option.
HELP ANSWER AS FAST AS U CAN
Acceptance into an acting workshop is highly competitive. Last year only 2 out of every 15 applicants were accepted into the workshop. This year the work shop accepted 40 out of 600 possible applicants.
Compare this years acceptance rates to that of last years rate. Is this years acceptable rate higher or lower or equal to last year’s acceptance rate? Explain your reasoning.
Answer:
is this a test
Step-by-step explanation:
kshsjwoo2o1k1 snsn
By using the 20 percent off coupon that she found in the newspaper, Jill saved $4 on the extra large bag of dog food that she bought.
Percents
Total
20%
20%
20%
20%
20%
100%
$4
$4
$4
$4
$4
What was the cost of the bag of dog food without the coupon?
$8
$12
$16
$20
Answer: The answer would be $20, because 20% 5 times is 100% and 4 times 5 is 20
If line n bisects segment CE, find the positive value of x.
A.6
B.10
C.15
D.9
9514 1404 393
Answer:
D. 9
Step-by-step explanation:
The segment lengths are equal, so ...
x^2 = 90-x
x^2 +x -90 = 0 . . . . . . add x-90 to put in standard form
(x +10)(x -9) = 0 . . . . . factor
The solutions are the values of x that make the factors zero: -10, 9.
The positive value of x is 9.
18 pounds for 9 dollars what is it in unit rate
Answer:
0.5
Step-by-step explanation:
9 dollars divided by 18lbs.
9/18 = 0.5
$0.50/lbs
Mason sells life insurance policies. He earns a 12 percent commission on every policy he sells. He made the following sales this week: Monday $425.00, Tuesday $694.25, Wednesday $296.14, Thursday $501.85, and Friday $358.76. What is his commission for the week?
Answer: Mason made $185.00
Step-by-step explanation:
For the first 10 suits he made $12.50 each suit, then he made $20 for the additional 3. (Just ignore the "suits part ._.)
250*.05=12.50
250*.08=20
12.50*10=125
3*20=60
125+60=185.
B.6-(5x-9)2 for x=1
Answer:
14
Step-by-step explanation:
Step 1:
6 - ( 5x - 9 ) 2 Equation
Step 2:
6 - ( 5 ( 1 ) - 9 ) 2 Input x
Step 3:
6 - ( 5 - 9 ) 2 Multiply
Step 4:
6 - ( - 4 ) 2 Subtract
Step 5:
6 - ( - 8 ) Multiply
Answer:
14 Add
Hope This Helps :)
Answer:
14
Step-by-step explanation:
1) 6-(5[1]-9)2
2) 6-(5-9)2
3) 6-(10-18)
4) 6-(-8)
5) 14