Answer:
Justin is 23 years old, and Aimee is 42 years old.
Step-by-step explanation:
Let Marcella's age be represented by x, and Justin's age by t.
Given that Justin is 2 years older than one third Marcella's age.
t = [tex]\frac{1}{3}[/tex] x + 2
t = [tex]\frac{x}{3}[/tex] + 2 ........... 1
Also, Aimee is four years younger than 2 times Justin's age.
Aimee = 2 x t - 4
Aimee = 2t - 4 .......... 2
But, Marcella's age is 63 years, so that from equation 1;
Justin's age = [tex]\frac{x}{3}[/tex] + 2
= [tex]\frac{63}{3}[/tex] + 2
= 21 + 2
= 23
Justin is 23 years.
From equation 2,
Aimee = 2 x 23 - 4
= 46 - 4
= 42
Aimee is 42 years.
Therefore,
Marcella is 63 years old, Justin is 23 years old, and Aimee is 42 years old.
If a data set is normally distributed, what percent of the data will lie below the mean
A) 99,7%
B)68%
C)50%
D)95%
Answer:
c
Step-by-step explanation:
In a jar of blue and red marbles the ratio of blue marbles to red marbles is 5 to 3 there are 320 marbles in the jar how many red marbles are in the jar
Answer:
120 red marbles
Step-by-step explanation:
5 to 3 gives a total of 8
let x = # red marbles
3 = x
8 320
8x = 960
x = 120
Can someone help me? I posted my question twice and I need help. I’m wasting my points just so nobody can help me :(
Answer:
Yeah i can try to do your questio i might not be able to answer it but ill try my best!
Step-by-step explanation:
Find the area of the shaded region. enter a decimal rounded to the nearest tenth
Answer:
78.42
Step-by-step explanation:
Area of 360 - 80 degree region.
You need to find out the region of the major arc where the circle is almost complete. The area left over will be calculated later
Angle = 360 -80
Angle = 280 degrees.
Area = [tex]\frac{angle*3.14*r^2}{360}[/tex]
Area = [tex]\frac{280*3.14*5^2}{360}[/tex]
Area = 23800/360
Area = 66.11
Area of the Triangle with sides of 5 cm each
Here's where I get into a bit of trouble. I have to assume you know some trig.
Find the height
Cos(40) = The height / the hypotenuse
Cos(40) = h/5
0.7760 = h/5
h = 0.7760*5
h = 3.830
Find 1/2 the base (the chord of the circle)
Sin(40) = 1/2 base / hypotenuse
Sin(40) = 1/2 b / 5 Multiply both sides by 5
1/2 b = 5*sin(40) Find the sin(40)
1/2 b = 5*.6428 Combine the right
1/2 b = 3.139 multiply by 2
b = 6.4278
Find the area of the triangle
Area = 1/2 b * h
b = 6.4278
h = 3.830
Area = 1/2 * 6.4278*3.830
Area = 12.31 cm^2
Total Area
12.31 + 66.11 = 78.42
Answer:
73.6
Step-by-step explanation:
I need help immediately :(((
Answer: $118.00
Step-by-step explanation:
Answer:
18.8 I'm not sure though
 help please with these 2 !!!! i’ll give brainliest !
Answer:
2 nd question _opposite
1st question_hypotnuse
-7k + 6k2 = 33
solve using the quadratic formula
Answer:[tex]6k^2-7k=33\\-33 -33\\6k^2-7k-33=0\\a=6\\b=-7\\c=-33\\\\k=-(-7)+/-\sqrt{-7^2-4(6)(-33)} /2(6)\\\\k=\frac{7+/-\sqrt{841} }{12} \\k=3,-11/6[/tex]
Jessica picked 40 apples. She gave 15 apples away. What percent of the apples does Jessica still have?
Please help im begging right now. I need the work and explanation on how u got it im counting on you guys this is a word problem. Im in middle school (6th grade) i dont know why it says im in high school.
Ill make it 30 points. JUST PLEASEEE
Answer:
62.5%
Step-by-step explanation:
40-15=25 apples left
25 apples/40 total=5/8 or 0.625
Translating that to a percent, we get 62.5% of the total apples left
7 out of 25 employees at Carlo's Car Repair wear contact lenses. What percent of the employees wear contact lenses?
Answer:
28%
Step-by-step explanation:
7/25 = 0.28
0.28 x 100 = 28
Answer:
28%
Step-by-step explanation:
since 25 multiplied by 4 gives exactly 100 you can multiply 7 by 4 = 28
7 out of 25 = 28%
Ace
4. 32+ (-12) ÷ (-3) - 7(-2)
Answer:
50 is your answer
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
32+
−12
−3
−(7)(−2)
=32+4−(7)(−2)
=36−(7)(−2)
=36−(−14)
=50
please help me its algebra I
i got the answer which is A and pls tell me if im right
Answer:
yes you are correct A is the correct answer
Answer:
D
Step-by-step explanation:
10%of 36=3.6
5% of 36= 1.8
3.6+1.8 will give you the right answer
Timothy purchased a computer for $1000. The value of the computer depreciates by 20% every year.
Answer:
We can apply the straight-line method to solve for the value of the computer every year.
Step-by-step explanation:
Step one:
What is depreciation?
It can be defined as the loss of value of a commodity.
In this problem, the percent depreciation is given as 20% which means that 20% of the worth of the computer is lost every year.
We are told that the computer cost is $1000
let the number of years taken for the computer to depreciate be x
Step two:
Say we want to find the value of the computer after 1 year, the value of the computer will be
Value of computer= 1000-20/100*1000
Value of computer= 1000-0.2*1000
Value of computer= 1000-200
Value of computer= $800
Step three:
For the second year, the value will be
Value of computer= 800-20/100*800
Value of computer= 800-0.2*800
Value of computer= 800-160
Value of computer= $640
Answer:
This situation represents exponential decay. The rate of growth or decay, r, is equal to 0.2. So the value of the computer each year is 80% of the value in the previous year. It will take 3 years for the value of the computer to reach $512.
Step-by-step explanation:
PLATOOOOOO
i will breann list yuo
Answer:
D. 4/9 and 0.4 repeated
Step-by-step explanation:
4000/9 is .4 repeated and the 4 in the remainder which would end up as 4/9
IS THIS RIGHT OH NO
Answer:
the top are right im not sure about bottom
On Tuesday at lunch time, it was 29°C. By sunset , the temperature had dropped to 16°C
Answer:
whats the question?
Step-by-step explanation:
plz help im stuck jk im really not
Answer:
im on my other acc
Step-by-step explanation:
lol
Solve for b in the equation 4(b + 2) = 16
Answer:
b=2
Step-by-step explanation:
A(n) _ is a prism with rectangles as bases whose lateral faces are not perpendicular to those bases.
oblique triangular prism
oblique rectangular prism
oblique cylinder
right triangular prism
right rectangular prism
right cylinder
A(n) oblique rectangular prism is a prism with rectangles as bases whose lateral faces are not perpendicular to those bases.
What is the rectangular prism?A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.
A(n) _ is a prism with rectangles as bases whose lateral faces are not perpendicular to those bases.
For the above condition, oblique rectangular prism would be the correct option that satisfies all the needs of the fillup.
An oblique rectangular prism is a simple rectangular prism with slightly oblique sides that are not perpendicular to the bases.
Learn more about a rectangular prism;
https://brainly.com/question/21308574
#SPJ2
Find the area of the shape below:
Answer:
Area of shape = 120 m²
Step-by-step explanation:
Given:
Height of triangle joint = 4 m
Base = 12 m
Width = 8 m
Find:
Area of shape
Computation:
Area of shape = Area of triangle + Area of rectangle
Area of shape = (1/2)(Base x height) + [Base x Width]
Area of shape = (1/2)(12 x 4) + [12 x 8]
Area of shape = 24 + 96
Area of shape = 120 m²
Please help!! I need an explanation on how to do this problem! please help and explain if u can! :]
Answer:
I think it is the third one
Step-by-step explanation:
hope it helps
Can anyone please help me !!
Answer:
The second one
Step-by-step explanation:
in a function, each time an x value is shown, it needs the same output. in this, 0 has an output of -3 and -4 so it is not a function.
find the length of each bolded arc. Round to the nearest hundredth.
Answer:
Length of the bold arc = 72.63 ft
Step-by-step explanation:
Length of the arc = [tex]\frac{\theta}{360}(2\pi r)[/tex]
Here, θ = angle subtended by the arc at the center
r = Radius of the circle
Since, angle subtended by the bold arc at the center = 360 - 73
= 287°
And radius of the circle 'r' = 14.5 ft
By substituting these values in the formula,
Length of the bold arc = [tex]\frac{287}{360}\times (2\pi)(14.5)[/tex]
= 72.632
≈ 72.63 ft
Therefore, length of the bold arc = 72.63 ft
63% of a university's freshman class are majoring in Economics. If 3654 students in the freshman class are Economics majors, how many students are in the freshman class?
Step-by-step explanation:
holaaaaaaaaaaaaaaaaaaa22zz
Answer:
5800
Step-by-step explanation:
thank me
c:
Winston goes to the store and buys a garden statue for $30. The store has a sales tax rate of 5%. How much tax will Winston have to pay?
Answer:
$1.50
Step-by-step explanation:
5% = 0.05
($30) * (0.05) = $1.50
Answer: $1.50
Explanation:
5%=0.05
30x0.05=1.5
The sporting goods store has a pair of soccer cleats on sale for $52. Without the sale they are $75. What is the percent of decrease? (Round to the nearest percent.)
Answer:
nl i can't give sorry again
super easy geometry problem!! 10 points!! will mark brainliest!!! *attached below*
Step-by-step explanation:
Given: AD = 6cm
m∠ACB = 90°
m∠ACD = 30°
CA = 12cm Leg opposite 30° theorem
m∠DCB = 60° Complementary angles
m∠CBD = 30° Sum of angles in a triangle
BA = 24 Leg opposite 30° theorem
BD = BA - AD = 18
Hope this helps!!!
Have fun in RSM :)
am i right 50 points
Enter the missing numbers in the boxes to complete the table of equivalent ratios.
Answer:
your right
Step-by-step explanation:
please can anyone explain congruent triangles
Congruent Triangles
Two triangles are said to be congruent if their sides have the same length and angles have same measure. Thus, two triangles can be superimposed side to side and angle to angle.
Marc doesn’t think that the angle of the front seat in his mom’s car is very cool, so he tilts the seat back. If m∠XWZ=115° and m∠YWX=15°, find m∠YWX