=============================================================
Work Shown:
x = brother's age, which is some positive whole number
x-6 = sister's age, since she is 6 years younger than her brother
The product is the result of multiplication, so we multiply x and (x-6) to get 135
x*(x-6) = 135
x^2-6x = 135
x^2-6x-135 = 0
Use the quadratic formula to solve from here
We plug in a = 1, b = -6, c = -135
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-6)\pm\sqrt{(-6)^2-4(1)(-135)}}{2(1)}\\\\x = \frac{6\pm\sqrt{576}}{2}\\\\x = \frac{6\pm24}{2}\\\\x = \frac{6+24}{2}\ \text{ or } \ x = \frac{6-24}{2}\\\\x = \frac{30}{2}\ \text{ or } \ x = \frac{-18}{2}\\\\x = 15\ \text{ or } \ x = -9\\\\[/tex]
x represents the brother's age, in years. So x must be positive.
Since x must be positive, this means we rule out x = -9
The value x = 15 is the only practical solution.
If x = 15, then x-6 = 15-6 = 9
The brother is 15 years old and the sister is 9 years old.
The product of their ages is 15*9 = 135, which confirms the answers.
The ratio of children to adults at a movie theater was 8:5. The theater sold 120 children tickets
that evening. How many adults attended the theater that night? How many tickets did the theater
sell altogether?
Answer:
75 adults
195 total tickets
Step-by-step explanation:
8:5
120:x
The length of a rectangle is 2 inches more than twice its width. Write an equation relating the length / of the rectangle to its width w.
Answer:
l = 2w + 2 would be the equation
The mass of a basket containing three balls was 3.64 kg. The mass of the same basket and five balls is 5.26 kg. Find the mass of the empty basket in kilograms?
Answer:
1.21
Step-by-step explanation:
5.26 - 3.64 = 1.62
1.62 ÷ 2 because the difference between 3 and 5 is two, the mass of one apple is 0.81 because 1.62 ÷ 2 = 0.81
so now we know one apple weights 0.81
if we multiply that 0.81 x 3 it will equal 2.43, so now the three apples alone wiegh 2.43...so now we look at the total weight of the whole basket with three apples, which is 3.64,
3.64 - the weigth of the apples (2.43)
3.64 - 2.43 = 1.21
the basket alone wieghts 1.21
Sorry if that was too long just want you to understand it
1) Dan ate 1/12 of a pumpkin, while Sandy ate 1/2 of a pumpkin. In total, how much pumpkin did these two eat?
Answer:
1 pumpkin
Step-by-step explanation:
1/2 + 1/2 is 1. They ate 1 pumpkin in total.
solve the question 7 _ 2 3/7
Answer:
Do you mean 7 - 2 and 3/7?
If so:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form:
32 /7
Decimal Form:
4. 571428
Mixed Number Form:
4 and 4 /7
Step-by-step explanation:
Have a great day!
Answer:
3.7 the answer.........
Find the area of the triangle.
4ft
ift
8ft
[? ] ft2
Sixty less than ten times ten
Answer:
40
Step-by-step explanation:
10x10=100
100-60=40
Hope this helps! :)
please answer it’s urgent!!
Find the whole. 215% of what number is 172
In a scale drawing of a rectangular garden,
the length is 15 inches and the width is
9 inches. In the drawing, 2 inches represents
3 yards. What is the width of the actual
garden, in yards?
Answer:
width is 13.5 yards
Step-by-step explanation:
2" / 3 yds = 9" / 'x' yards
cross-multiply:
2x = 27
x = 13 1/2 yards
saben cual es la raiz cuadrada de 3025 con metodo de aproximaciones sucesivas
Answer:
which language is this
Can someone please help me I don’t understand
Answer:
The ship is traveling at 25 mph
Step-by-step explanation:
12.5/0.5=25
25/1=25
37.5/1.5=25
The speed is constant (25) so the ship is moving at 25 mph
The mayor of a town has proposed a plan for the annexation of a new community. A political study took a sample of 800 voters in the town and found that 51% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is more than 47%. Determine the P-value of the test statistic. Round your answer to four decimal places.
hope this helps!!
mark me brainlist? this took a lil bit
Please Help, 20 points and brainiliest, URGENT.
Answer:
Step-by-step explanation:
∠ACB and ∠ECD are vertical angles, so ∠ACB = ∠ECD.
∠D = ∠B
∠A = ∠E
△ABC and △EDC are similar because they have the same angles.
Select all sports that apply (you may select more than one). The underhand serve is used in...
Badminton
Tennis
Soccer
Pickleball
Voleybal.
Let me know guys pls
Answer:5
Step-by-step explanation:
Answer:
Step-by-step explanation:
x/35=15/25
x=35(15)/25
x=21
Given that a linear function goes through the points (3,2) and (5, 6) determine the slope
of the line.
Answer:
2
Step-by-step explanation:
The formula of slope from 2 points is change in y divided by change in x, so you can apply that to this problem.
First, find the change in y between the two points. To do this, do y2 - y1.
y2 = 6 and y1 = 2, so you have 6 - 2 = 4.
Next, find the change in x between the two points. To do this, do x2 - x1.
x2 = 5 and x1 = 3, so you have 5 - 3 = 2.
All you're really doing here is finding the distance between the x values and the y values of the points, if that makes sense.
The last step is to do change in y divided by change in x, so 4 / 2 = 2.
This means that the slope of the line is 2.
What is the value of y?
2y
Y+10
50°
Answer:
The question is incorrect. Please rewrite the question.
WILL MARK BRAINLYIST
put median or altitude for the first part
Wednesday, a local deli offered a lunch special consisting of a ham or roast beef sandwich with or without American cheese on toast, a roll, or a bagel. Thursday, the owner of the deli decided to offer customers the same options of meat and bread but let customers choose to have their sandwiches with or without either American or Swiss cheese.
How many more one meat, one cheese, one bread sandwich combinations are offered Thursday than Wednesday?
1
6
12
18
I think that A would be the correct answer.
6.
The distance from London to New York is 3456 miles.
A plane takes 8 hours to fly from London to New York.
Work out the average speed of the plane.
Di
Answer:
3456/8 = 432
432 miles per hour
Step-by-step explanation:
a. Draw a rectangle with an
area of 39 squares, and
perimeter of 32 units.
a
Answer:
It has side lengths of 3 and 13
Step-by-step explanation:
If it has an area of 39, then let the sides be x and y: thus we get the two relationships:
xy=39
2(x+y)=32
From the second equation, you get x+y=16. Now, rearrange to get y=16-x. You can now plug this into the first equation:
x(16-x)=39 -> 16x-x^2=39 -> x^2-16x+39=0 -> (x-3)(x-13)=0
This implies that x=3, or x=13, which further implies that the side lengths must be 3 and 13.
b) A car priced at $3600 is reduced by 25%.
What is the reduced price?
3600:25 =144
reduced price is 144$
Please answer!!!
y = Yolanda's height in inches
y + 7 = Linda's height in inches
2y + (y + 7) = 193
1. X+4x+6x need help ASAP 10 minutes remaining
Answer:
10x^2 or 10x because you are adding x
bro helppppppppppppp
Answer:
1. 2 and 2 is c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
How can you tell how many solutions a linear equation will have by looking at the equation?
Answer:
A system of two equations can be classified as follows
Step-by-step explanation:
If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.
A number that adds with 2/3 substrate 1/3 will be 8.What should be the number??
Answer:
The number is [tex]\frac{23}{3}[/tex]
Step-by-step explanation:
I am going to call the number x.
A number that adds with 2/3 subtract will 1/3 will be 8.
As an equation, this is:
[tex]x + \frac{2}{3} - \frac{1}{3} = 8[/tex]
Now we solve the equation to find x. So
[tex]x + \frac{2-1}{3} = 8[/tex]
[tex]x + \frac{1}{3} = 8[/tex]
[tex]x = 8 - \frac{1}{3}[/tex]
[tex]x = \frac{24}{3} - \frac{1}{3}[/tex]
[tex]x = \frac{24-1}{3}[/tex]
[tex]x = \frac{23}{3}[/tex]
The number is [tex]\frac{23}{3}[/tex]
In a softball league, 4 coaches are needed for every 28 players. If 84 players sign up for softball, how many coaches are needed?
Answer:
12 coaches
Step-by-step explanation:
If for every 28 players, 4 coaches are needed, for 84 (triple the amount) players, 12 coaches would be needed (triple the amount)
What is the solution to the equation 37x = 9x + 4?
-7
-1/7
1/7
7
Answer: The solution is C. 1/7.
Step-by-step explanation: Just plug 1/7 as x. You will find that the statement is true when you plug in 1/7.