Answer:
The average age would be 45.
Step-by-step explanation:
1.
The diagram below shows a composite shape formed by joining two rectangles.
4 cm
I
xcm
12 cm
(x + 2)cm
Diagram not drawn to scale
The area of the larger rectangle is 4 times the area of the smaller rectangle.
Calculate the dimensions of the smaller rectangle.
You must justify any decisions that you make.
9514 1404 393
Answer:
24 cm^2
Step-by-step explanation:
The larger rectangle has dimensions in cm of 12 by (4+x). The smaller rectangle has dimensions of (x+2) by x. The area of the larger is 4 times the smaller, so ...
12(4+x) = 4(x)(x+2)
3(4+x) = x(x+2) . . . . . . divide by 4
x^2 +2x -3x -12 = 0 . . . eliminate parentheses, subtract 3(4+x)
(x -4)(x +3) = 0 . . . . . . . factor
The positive solution is x = 4, so the area of the smaller rectangle is ...
x(x+2) = 4(4+2) = 24 . . . cm^2
Hey guys I really need help on this one!
Find the length of side x in simplest radical form with a rational denominator.
Answer:
x = [tex]\sqrt{3}[/tex]/6
Step-by-step explanation:
30-60-90 triangles have legs in the ratio of 1 : [tex]\sqrt{3}[/tex] : 2
create a proportion: (6 ÷[tex]\sqrt{3}[/tex]) = (1÷x)
cross-multiply: 6x = [tex]\sqrt{3}[/tex]
divide by 6
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPP
Felix worked at a music shop during the summer. The table below shows some of Felix’s hours and earnings. The amount of money he earned is proportional to the number of hours he worked.
2. Let x represent the number of hours he worked, y represents the amount of money he earned.Write an equation that represents this relationship.
3. If Felix worked 180 hours, then how much money did he earn?
Answer:
2. y=9x
3. 180*9 = 1620
Step-by-step explanation:
2. y = mx+b, so find the slop efirst
lacampanella avatar
so take the first two points you got
lacampanella avatar
(2,18) and (5,45),
lacampanella avatar
(45-18)/(5-2) = 9
lacampanella avatar
then use (2,18)
lacampanella avatar
18= 9*2+b
lacampanella avatar
so b=0
3. y = 9x
x= 180. y = 9*180 = 1620
I GIVE A BRAINLIEST I DO ANYHTING JUST HELP
The lines graphed below show the amounts of water in two tanks as they were being filled over time.
For each tank, explain whether or not there is a proportional relationship between the amount of water, in gallons, and the time, in minutes.If there is a proportional relationship, identify the unit rate. Use specific features of the graph to support your answer.
Answer:
(100,0.5)
Step-by-step explanation:
Unit Rate: k=200x
Find the average of -1/8,3/4,3/4,-1/2
Answer:
7/32Step-by-step explanation:
Sum is:
-1/8 + 3/4 + 3/4 - 1/2 =-1/8 + 6/4 - 1/2 =-1/8 + 12/8 - 4/8 =(-1 + 12 - 4)/8 = 7/8Number is 4
Average is:
sum/number =7/8 : 4 =7/32A group of friends wants to go to the amusement park. They have $94.25 to
spend on parking and admission. Parking is $14.75, and tickets cost $13.25
per person, including tax. Write and solve an equation which can be used to
determine p, the number of people who can go to the amusement park.
Answer:
1) The equation to determine the the number of people who can go to the amusement park is 14.75 + 13.25·p = 94.25
2) The number of people who can go to the amusement park is people
Step-by-step explanation:
The given parameters are;
The amount the group of friends have to spend on parking and admission = $94.25
The cost parking = $14.75
The cost of tickets per person = $13.25
The variable we let to represent the number of people who can go to the amusement park be "p"
1) The equation that can be used to determine "p" is therefore, given as follows;
14.75 + 13.25·p = 94.25
2) Therefore, we have, by making "p" the subject of the above equation;
p = (94.25 - 14.75)/13.25 = 6
Therefore, the number of people who can go to the amusement park, p = 6 people.
Answer:
Answer: 6
Step-by-step explanation:
Equation: 13.25p+14.75=94.25
What is the square root of 100?
Answer:
the square root of 100 is 10
10x10=100
Answer:
the square root of 100 is 10
Step-by-step explanation:
Tell whether the angles are adjacent or vertical. Then find the value of x.
I finished the angles, but need the value of x.
Answer : The angles are vertical angles and the value of x is [tex]25^o[/tex]
Step-by-step explanation :
Adjacent angles : It is defined as the two angles that have the common arm and common vertex.
Vertical angles : It is defined as the two lines intersect each other and form angles. The opposite angles are known as vertically opposite angles.
And we know that the vertically opposite angles are equal.
In the given image, the angles are vertical angles and vertically opposite angles are equal.
So,
[tex](4x-25)^o=75^o[/tex]
[tex]4x-25^o=75^o[/tex]
[tex]4x=75^o+25^o[/tex]
[tex]4x=100^o[/tex]
[tex]x=\frac{100^o}{4}[/tex]
[tex]x=25^o[/tex]
Therefore, the angles are vertical angles and the value of x is [tex]25^o[/tex]
write an expression for 5 less than x
Answer:
x-5
Step-by-step explanation:
Find the product:
(xy)^2 (x^2y^2)^2
Answer:
x^6y^6
Step-by-step explanation:
Answer:
x^6 y^6
Step-by-step explanation:
Alec says the sum of two numbers can never be less than either number.Use a model to explain why Alex is incorrect.
Answer:
Answer:
If you put two things together it cannot be less than what was originally there.
Step-by-step explanation:
For example if you have two bowls of soup and you add them together you will have more soup.
I need help with this problem please
Answer:
150
Step-by-step explanation:
Answer:
150
Step-by-step explanation:
PEMDAS = Parenthesis, exponents, multiplication, division, addition, subtraction.
3 · [(22 + 4 ÷ 2 + 2) + 24]
3 · [(22 + 2 + 2) + 24]
3 · [26 + 24]
3 · [50]
150
Find the inverse of function f.
$() = 9x + 7
OA /--) = 7x + 9
OB. 1 (1) = = -1
Oc. 7-1() = -98
OD. () = gr - 1
7
Answer:
C) f-1(x) = -9x - 7 the inverse of multiplication is division
What will be the rule?
Step-by-step explanation:
it's rule is multiplying the in by 3
2 *3 = 6
4 * 3 = 12
7 * 3 = 21
9 * 3 = 27
Answer:
times 3
Step-by-step explanation:
ok so this is how I do it, I recommend it!
Look out the out number in the first number: 6
Ask yourself how to get from 6 to 2???......divided by 3 ofc!
Ok so then we see 4 and we multiply by 3=12
21 divided by 3 is 7! Rule right again!
27 divided by 3 is 9! Yay we did it!
Hope this helps :>
a) y=(x+4)7-7)
Convert factored form to standard form
Answer:
[tex]y - 7x = 21[/tex]
Step-by-step explanation:
Given
[tex]y = (x + 4)7 - 7[/tex]
Required
Convert to standard form
[tex]y = (x + 4)7 - 7[/tex]
Start by opening the bracket
[tex]y = x*7 + 4*7 - 7[/tex]
[tex]y = 7x + 4*7 - 7[/tex]
[tex]y = 7x + 28 - 7[/tex]
[tex]y = 7x + 21[/tex]
Subtract 7x from both sides
[tex]y - 7x = 7x - 7x + 21[/tex]
[tex]y - 7x = 21[/tex]
Hence:
The standard form is: [tex]y - 7x = 21[/tex]
Solve for the variableeeeee plzzz
Answer: x= -7
Explanation for answer:
Answer:
x = -7
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other.
First, add 2x and subtract 18 from both sides:
5x - x + 18 (-18) (+2x) = 6 - 2x (+2x) - 30 (-18)
5x - x + 2x = 6 - 30 - 18
Next, simplify. Combine like terms:
(5x - x) + 2x = 6 + (-30 - 18)
(4x) + 2x = 6 + (-48)
6x = -42
Next, fully isolate the variable, x, by dividing 6 from both sides:
(6x)/6 = (-42)/6
x = -42/6 = -7
x = -7 is your answer.
~
(0, 4) and (4,0)
Rate of Change:
b=
Answer:
b=4
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINLIEST!!!! Please help
Answer:
where is the question though?
Step-by-step explanation:
Answer:
what's your question ❓❓❓❓
..... . ..,m..... ...
..
.
Ummi sees an advertisement for her favorite cereal
Answer:
Thanks for the points!
Mr. Tren splits a 12-pound bag of soil equally between 5 flower pots.
Which equation shows how many pounds of soil Mr. Tren put in each flower pot?
A. 12 divided by 5 = 2 2/5
B. 5 divided by 12 = 2 5/12
C. 12 divided by 5 = 2/5
D. 5 divided by 12 = 5/12
Answer:
A
Step-by-step explanation:
what is 3/10 x 5/36 please answer
Answer:
1/24
Step-by-step explanation:
Pls mark me the brainiest thx.
Hope this helps!
I WILL GIVE YOU BRAINLY PLSS
What is the solution of x + 6 11
C. x –1
PLSS SHOW YOUR WORK PLSS
Answer:
9.34
Step-by-step explanation:
add 6 then mulitiply 11-1 xC=9.34
Catherine is going cycling with 3 friends. They take 2 L of water for each person. At the end of the day they have 0.8 L of water left. How much water have they drunk?
can y’all help me???
Answer:
4 miles
Step-by-step explanation:
2/3 x 6= 4
Maurice has completed 64 pages of the research paper he is writing. That is 80% of the required length of the paper. What is the required length of the paper?
Answer:
80 pages
Step-by-step explanation:
Let the required length of paper = x
Hence:
80% of x = 64 pages
80/100 × x = 64 pages
80x /100 = 64 pages
Cross Multiply
80x = 100 × 64 pages
x = 6400/80
x = 80 pages
Therefore, the required length of the paper = 80 pages
Parker has a bag that contains orange chews, apple chews, and lime chews. He performs an experiment. Parker randomly removes a chew from the bag, records the result, and returns the chew to the bag. Parker performs the experiment 40 times. The results are shown below: A orange chew was selected 13 times. A apple chew was selected 9 times. A lime chew was selected 18 times. Based on these results, express the probability that the next chew Parker removes from the bag will be orange or lime as a fraction in simplest form.
Answer:
31/40
Step-by-step explanation:
13/40 + 18/40
Jose was playing a basketball shooting game in the arcade. He made 15 shots and missed 25 shots. What is the percentage of shots Jose made in the basketball game?
help pls :(
Answer:
37.5/38(rounded)
Step-by-step explanation:
Answer:
37.5%
Step-by-step explanation:
15 + 25 = 40
15/40 = 37.5%
15
40 x 100% = 37.5%
Sorry if wrong! Plz mark brainiest if correct :D Have a great day Luv!
-Bee
Which expression is equivalent to 4/9 (2n - 3n)
A. 8/9 n - 1 1/3
B.8/9 n - 3
C. 2n - 3
D. 2n - 1 1/3
How much is 75% of 10 liters of milk?
Step-by-step explanation:
100% of milk = 10 litres
=> 75% of milk = 10 * (75/100) = 7.5 litres.
Hence 75% of 10 litres of milk is 7.5 litres.