Rachel has 2/3 pound of snack mix. She eats 5/12 of the snack mix. How much of the snack mix did Rachel eat?
Answer: Racheal ate [tex]\dfrac{5}{18}[/tex] of the snack mix.
Step-by-step explanation:
Given : Rachel has [tex]\dfrac23[/tex] pound of snack mix..
If she ate [tex]\dfrac5{12}[/tex] of the snack mix.
Then, Quantity of snack mix eaten by Rachel = [tex]\dfrac5{12}\times\dfrac23[/tex]
[tex]=\dfrac56\times\dfrac13\\\\=\dfrac{5}{18}[/tex]
Hence, Racheal ate [tex]\dfrac{5}{18}[/tex] of the snack mix.
Danny charges 30$ for 3 hours of swimming lessons martin charges 55$ for 5 hours of swimming lessons which deal is better
Answer:
Danny
Step-by-step explanation:
Danny charges $10 an hour
Martin charges $11 an hour
5x-2y=12
6x+2y=32
find the solution
Answer:
(4,4)
Step-by-step explanation:
There are two ways that you can solve this. You can solve it with the help of technology or you can solve it traditionally. I will show how to do it in both ways so you can pick which way you want to solve it.
Traditional Method:
5x - 2y = 12
6x + 2y = 32
Look at the variables and numbers in both equations. One of them has to be the same value but have to have opposite signs. The 2y in both equations are the same value but have different signs. That's what we want. We can add everything in the equation now. (5x + 6x), (-2y + 2y), and (12 + 32).
11x = 44
To get x alone, Divide each side by 11. Then we will get the value of x.
11/11x = 44/11
x = 4
Horray! We got x, but what about y? Pick one of the equations. I will go with 5x - 2y = 12. Substitute the x value inside the equation.
5(4) - 2y = 12
20 - 2y = 12
-2y = -8
y = 4
Good! We figured out y. Now we know the solution! The solution is (4,4).
Technology Method:
Grab a graphing calculator. Enter the equations. You will see two lines. Look at where they intersect. The point where they intersect is the solution. That line is (4,4). You could also do this on a piece of paper by graphing the equations.
I hope this helps! Let me know if you need any more help or if I got anything wrong.
Taiga wants to make a circular loop that she can twirl around her body for exercise. He will use a tube that is 2.5 meters long. Estimate the diameter of Taiga's exercise hoop? Round your answer to the nearest thousandth of a meter.
Answer: 0.796 meters
Step-by-step explanation:
Circumference of circle = [tex]2\pi r[/tex] , where r=radius
Here, Circumference of loop = 2.5 meters
i.e. [tex]2\pi r=2.5[/tex]
[tex]\Rightarrow\ r=\dfrac{2.5}{2\pi}[/tex]
[tex]\Rightarrow\ r=\dfrac{2.5}{2\times\dfrac{22}{7}}\\\\\Rightarrow\ r=\dfrac{2.5\times7}{2\times22}\\\\\Righttarrow\ r=0.398\ m[/tex]
Diameter = 2r = 2(0.398) = 0.796 meters
Hence, The diameter of Taiga's exercise hoop = 0.796 meters
What is the value of 8(3 + x) when x = 7?
Answer:
80
Step-by-step explanation:
8(3+7)=80
What is the unit rate for 21 3/4 and 2 1/2
Answer:
I think it is 19 1/4
Step-by-step explanation:
How I got this was I took 21 3/4 and subtracted 2 1/2 which gave me 19 1/4.
Hope this is right and helps.
If the principle is $4,000 and the rate of interest is 8% (simple interest), what is the amount of interest after one year?
Answer: $320
Step-by-step explanation:
A principal of $4,000 was invested.
The principal increases at a rate of 8% every year by simple interest.
After 1 year the total in the account can be calculated by the formula:
= Principal * ( 1 + rate * time)
= 4,000 * ( 1 + 8% * 1)
= $4,320
Interest:
= Amount after a year - original price
= 4,320 - 4,000
= $320
Write a ratio and a percent for the shaded area.
3/10, 27%
1/2, 50%
1/3, 33.33%
3/10, 30%
PLEASE HELP ME IVE BEEN STUCK BECAUSE I THOUGHT THAT 12/60 WAS 1/5 SIMPLIFIED??
Answer:
1/3, 33.33%
Step-by-step explanation:
The full square is 6x6 which means there are 36 tiles in total. The shaded area is 3x4 which is 12. 12/36 is 1/3 simplified or 33.33%.
Answer:
1/3 and 33.33℅
Step-by-step explanation:
total number of rectangles is 36 and the shaded are 12
so 12/36 =1/3
1/3= 0.3333
to change to percent we multiply by 100
0.3333×100℅ = 33.33℅
question is in picture
Answer:
6
Step-by-step explanation:
the first thing I did to smome but you know 5AM was a l
ABCD is a parallelogram. If side AB = 5x + 7, side BC = 8x - 12, and side CD = 7x - 9, find the value of x.
Answer:
8cm
Step-by-step explanation:
AB = CD
5x+7 = 7x-9
2x = 16
An airplane descends 1.5 miles to an elevation of 6.05.Find the elevation of the plane befor its descent the intial elevation of the plane was blank miles
Answer:
7.55 miles
Step-by-step explanation:
Given that :
Distance of descent = 1.5 miles
New elevation point after descent = 6.05 miles
The initial elevation of the plane before descent will be :
New elevation point after descent + Distance of descent
(6.05 miles + 1.5 miles)
= 7.55 miles
Write an equation in point-slope form with a slope of m=3 and passes through the point (4,-5).
Answer:
y+5=3(x-4)
Step-by-step explanation:
hope this helped :)
What is the domain of this function?
(8,8)
(2, 19)
(0,9)
(-12, 19)
Answer:
The domain is -12, 0, 2, 8.
Step-by-step explanation:
The domain is the set of all possible x-values. The x-values are the first numbers in a point.
Which term best describes the graph of y = x - 1
A. Increasing
B. Decreasing
C. Constant
D. Positive
Highest common factor of 220 and 88
HELLPP PWEASEEEE :( im confused
Answer:
18 seconds
Step-by-step explanation:
according to the question
-16t²+5184=0 (0 because when the height is 0 the ball will hit the ground)
-16t²=-5184
t²=-5184/-16
t²=324
t=√324
t=18
Can you guys help me find 1/3 + 5/6 please!
Answer:
7/6
Step-by-step explanation:
1/3=2/6
2/6+5/6=7/6
Answer:1.16666666667
Step-by-step explanation:
Please solve the following systems of equations using the elimination method
1. 2x + y =12
-3x + y = 2
2. -2x + 3y = -1
2x + 5y = 25
Answer the question in the picture above.
Answer:
m is less than A apparently
Step-by-step explanation:
Which point is collinear to points A and D?
5. Which expression is equivalent to (2p + 4)(2p – 4)?
A 4p2 + 16p – 16
B (2p)2 – 2(2)(4) + 42
C 2p2 – 42
D (2p)2 – 42
Answer:
[tex] {4p}^{2} - 16 [/tex]
I think I'm wrong or you're wrong.
I don't know but hope it's helpful ❤❤❤
THANK YOU.
This is 20 pts. Please help. I need help on my homework due tomorrow...here are the questions and please show how to work out the problems:
1. Convert 101 with an exponent of 2 to base 10
2. Convert 2A3 with an exponent of 16 to base 10
3. Covert 173 to base 3
4. Convert 177 to base 16
Answer:
1) 10^2 + 1
2) ?
3) 2(3^3) + 11
4) 16^2 - 79
Step-by-step explanation:
1) 101 = 100 +1 = 10^2 +1
2) ?
3) 173 = 81+81+11 = 3^3+3^3+11 = 2(3^3) +11
4) 177=256-79 = 16^2 -79
Pls mark Brainiest :)
Karly got a 74% on her Social Studies test. The test had 50
questions. How many questions did she NOT answer
correctly?
ann
BRAINLIEST IF RIGHT!
Which of the following is an even function?
f(x) = x1
Of(x) = x2 - 1
Of(x) = -3x
O Rx) = 3/8
Answer:
[tex]f(x) = x^{2} - 1[/tex]
Step-by-step explanation:
The definition of even function is: [tex]f(x) = f(-x)[/tex]
I am going to assume the second option is [tex]f(x) = x^{2} - 1[/tex] and the answer.
[tex]f(x) = x^{2} - 1\\f(-x) = (-x)^{2} - 1 = x^{2}-1[/tex]
PLZ HELP ASAP!!!!!!!!
Answer: 3:2
Step-by-step explanation:
the base ratio of unused tape to used tape is 24:16.
then we have to simplify,
both 16 and 24 can be divided by eight,
24 divided by eight is 3
16 divided by eight is 2
therefore, our simlpified ratio is 3:2
hope this helped! <3
Answer this and I will give you 20 points
Sam jogs every 2 days. He does Pilates every 3 days. Suppose Sam jogs and does Pilates on October 1. What are the next three dates on which he will jog and do Pilates?
Answer:
October 7, October 13, 0ctober 19
Step-by-step explanation:
Jog = every 2 days
Next days from October 1 = October 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31
Pilates = every 3 days
Next days from October 1 = October 4, 7, 10, 13, 16, 19, 22, 25, 28, 31
What are the next three dates on which he will jog and do Pilates?
= October 7, October 13, 0ctober 19
The next three dates on which he will jog and do Pilates are October 7, October 13, 0ctober 19
plz help asap i will give you brainlist
solve. -0.63 ÷ -0.7 = ill give brainiest
Answer:
0.9
Step-by-step explanation:
plz brainliest
Answer:
0.9
Step-by-step explanation: