A cooking school is teaching students how to make pasta noodles. The line plot displays how much flour each student used. How many total cups of flour did the students use to make the pasta?
Answer:
[tex]Total = 11\frac{1}{8}\ cups[/tex]
Step-by-step explanation:
Given
See attachment for plot
Required
Total number of cups used
The number of dot on each dataset represent the number of student
So, to get the total number of cups, we simply add the product of the number of cups and the number of student for each data item
So, we have:
[tex]Total = \frac{1}{8} * 6 + \frac{1}{4} * 5 + \frac{3}{8} * 2 + \frac{1}{2}*0 + \frac{5}{8} * 4 + \frac{3}{4} * 2 + \frac{7}{8} * 5[/tex]
[tex]Total = \frac{6}{8} + \frac{5}{4} + \frac{6}{8} + 0+ \frac{20}{8} + \frac{6}{4} + \frac{35}{8}[/tex]
Solve
[tex]Total = \frac{6+10+6+0+20+12+35}{8}[/tex]
[tex]Total = \frac{89}{8}[/tex]
[tex]Total = 11\frac{1}{8}\ cups[/tex]
The dollar value of a car is a function, f, of the number of years, t, since the car was purchased. The function is defined by the equation f(t)=12,000(3/4)^t.
A. How much was the car worth when it was purchased? Explain how you know.
B. What is f(2)? What does this tell you about the car?
C. About when was the car worth $6,000? Explain how you know.
Answer:
1.) 12000
2.) 6750
3.) 2.41
Step-by-step explanation:
Given the Equation :
f(t)=12,000(3/4)^t. ; where, t = time ; f(t) = worth of car at time, t
When, car was purchased, t = 0
t = 0
f(0) = 12000(3/4)^0
= 12000 * 1
= 12000
2.)
f(2) ; this mean the worth of the car after 2 years :
f(2)=12,000(3/4)^t.
12000(3/4)^2
12000 * 0.5625
= 6750
When car will be worth 6000
f(t) = 6000
f(t)=12,000(3/4)^t.
6000 = 12,000(3/4)^t
6000 / 12000 = (3/4)^t
1/2 = (3/4)^t
Take the log of both sides :
Log(0.5) = log(0.75)^t
log(0.5) = tlog(0.75)
- 0.301029 = - 0.124938t
t = - 0.301029 / - 0.124938
t = 2.4094
t = 2.41 years
Robert invested $7,600 in an account paying an interest rate of 1.9% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $8,600?
Answer:
the answer is 7
Step-by-step explanation:
Compounded Continuously:
A=Pe^rt
A=8600
P=7600
r=0.019
8600=7600e^0.019t
[tex]\frac{x}{y} 8600\\ 7600[/tex] =[tex]\frac{x}{y} 7600e^0.019t\\7600[/tex]
1.1315789=e^0.019t
In(1.1315789)=e^0.019t
ln(1.1315789)=
\,\,0.019t
0.019t
6.5059977=t
t=7
thxxxx byee
If 3/4=x/16, then x =
Answer:
12
Step-by-step explanation:
We can try and get both sides to have a common denominator. If we multiply the left side by 4, we get 12/16=x/16. Here, it is clear that x=12.
Answer:
x is equal to 12/16
Step-by-step explanation:
If you divide 12/16 by 4 you will realize that it is equal to 3/4. Therefore x is equal to 12. That is a really explanation, but hope it helps!
An investment of $100 is now valued at $149.18 the interest rate is 8% compounded continuously about how long has the money been invested
question: An investment of $100 is now valued at $149.18 the interest rate is 8% per year, compounded continuously about how long has the money been invested
Answer:
5.2 years
Step-by-step explanation:
Applying
A = P(1+R/100)ⁿ.......................... Equation 1
Where A = amount, P = principle, R = rate, n = time.
From the question,
Given: A = $149.18, P = $100, R = 8%
Substitute these values into equation 1 and solve for n
149.18 = 100(1+8/100)ⁿ
149.18/100 = (1+8/100)ⁿ
1.4918 = (1+0.08)ⁿ
1.4918 = (1.08)ⁿ
Taking the Logarithm of both side
Log(1.4918) = Log(1.08)ⁿ
Log(1.4918) = nLog(1.08)
n = Log(1.4918)/Log(1.08)
n = 0.1737/0.0334
n = 5.2 years.
Question 5 (1 point)
Calculate the area of this composite shape. Use the ti key on the calculator. Round answer
to tenths.
10 yd
12 yd
13 yd
13 yd
Area =
yd2
Answer and explanation
Answer: c
Step-by-step explanation: because you add the x's and then add the fractions
May I have help to figure out how to do this? It is confusing! :(
Answer:
it should be 80%
Step-by-step explanation:
I hope this helps
Factor the expression: 625t^5-1715t^2
Please show steps!
Answer:
5[tex]t^{2}[/tex](5t-7)(25[tex]t^{2}[/tex]+35t+49)
Step-by-step explanation:
someone, please help !! these are direct and inverse variations, algebra 2. i need them asap !
Answer:
3, 20, 2, and 2.5
Step-by-step explanation:
For each question, they gave you an x and y value. If you substitute them into the equation and then solve for k, you get your answer.
On the first one, x is 12 and y is 1/4. If you put those into the equation they gave you y = k/x, you get 1/4 = k/12
3/12 is 1/4 so the first k is 3.
Second one y = k/x. x is 4 and is 5. So 5 = k/4
20/4 is 5, so the second k is 20.
Please help me with full calculations
Answer:
use formula,
P(x,y)=P'(-y,x)
so.
R(-2,-2)=R'=(2,-2)
S(1,1)=S'(-1,1)
T(-1,-3)=T'(3,-1)
Step-by-step explanation:
plot R,S,T and R',S',T' in the graph
NO LINKS The circumference of a circle is 36 feet. What is the length of the radius of this circler
O 9 ft
18 ft
36 ft
O 72 ft
Thank you so much for your help! :)
Answer:
18ft
Step-by-step explanation:
Formula of circumference * r x r x 3.14* or d x 3.14*
:DDD And ye glad I could help!
Based on equation of the line of best fit how much money should Millie expect to earn if he works a five hour shift?
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]x = 5[/tex] ---- 5-hour shift
Required
The expected earnings
The question is incomplete, as the equation is not given. A general way to solve this, is to substitute the value of x in the equation, then solve for the y variable.
Take for instance, the equation is:
[tex]y = 10x + 2[/tex]
The expected earnings will be:
[tex]y = 10*5 + 2[/tex]
[tex]y = 50 + 2[/tex]
[tex]y = 52[/tex]
Expected Earnings = $52
i need help plz :( i don’t understand
If the ratio of grapes to walnuts to oranges is 6:6:12, how many grapes are there if the total number of fruits is 192?
Answer:
48
Step-by-step explanation:
6+6+12 = 24
192/24 = 8
8*6 = 48
(Ratio is 48:48:96)
Answer:
48
Step-by-step explanation:
48
Step-by-step explanation:
6+6+12 = 24
192/24 = 8
8*6 = 48
(Ratio is 48:48:96)
sorry I copied you harpsickle213 but i needed the 7 points
Find the product of 6* V12
O 36/2
O 65
0 5/6
04/18
Answer:
6√2
Step-by-step explanation:
√6 x √12 = √72
= 6√2
OR
6 x √12 = √72
= 8.485281374238570
Answer:
b
Step-by-step explanation:
X+2y=0
12y= -6x
Plzzz this is due 11:59
Answer:1. X+2y=0 answer:−2y 2. 12y= -6x answer:x=−2y
Step-by-step explanation:
Please help me with this. And my teacher said to show your work so what do I have to do and she said on paper please help thank you!
Answer:
Step-by-step explanation:
V=H x W x L so 11.25= H (1.5) (2); 3H=11.25 so the height of one box is 3.75’
To find the volume of 5 stacked boxes multiply the volume of one box by 5.
5(3.75 x 1.5 x 2) which is 20.25 cubic feet.
Does anyone know what the answer to this would be?
Answer:
D
Step-by-step explanation:
Someone please help me!!!
help me plzz please please please
Answer:
Q1: 18 degrees
Q2: 60 sides
Step-by-step explanation:
The sum of the exterior angles is always 360 degrees. With this, do 360/20 to get the amount of sides that are within the shape.
360/20 --> 18 degrees.
Now with the interior angles, it can be found with the equation ((n-2) * 180 degrees) / n = Angle Given. With this, plug 174 degres into your equation.
(n-2) * 180 degrees) / n = Angle Given
(n-2) * 180 degrees) / n = 174
180n -360 / n = 174
180n -360 / 174n
360 = 6n
n = 60
It would be 60 sides.
FREEEE POINTS REALLY
Answer:
x is less than 46
x<46°
Step-by-step explanation:
............
Please help me on this :) I will give brainleast
Answer:
B. 6 cans for 5.16
Step-by-step explanation:
A. 0.89$ for 1 can
B. 0.86$ for 1 can
C. 0.88$ for 1 can
D. 0.90$ for 1 can
Answer:
b
Step-by-step explanation:
store a - 0.89 each can
store b - 0.86 each can
store c - 0.88 each can
store d - 0.90 each can
PLEASE IM BEGGING YOU
Which is closest to the number of hot chocolates the owner would expect
to sell when the temperature is 38°F?
19
15
23
Answer: the answer is 19
Step-by-step explanation:
Please a correct answer gets brain thing that I forgot it name please help
Answer:
;FIHI;IHFHGILSOUDHFUHZSIUDGNJKZNSFJGNOSHTJOIJOIGJOSKFNGKNSJKGNONOJGOKJN
Step-by-step explanation:
95 - 3/4 what is the value of the expression
Answer:377 /4 = 94 and 1 / 4 =94.25
Step-by-step explanation:
Subtract
95 − 3 /4
= 377 / 4
Convert integer to fraction
95 = 95 / 1
Find common denominator
95 over 1
− 3 over 4
= ( 95 × 4 ) over ( 1 × 4 )
− ( 3 × 1 ) over ( 4 × 1 )
= 380 over 4
− 3 over 4
4 is the least common multiple of denominators 1 and 4. Use it to convert to equivalent fractions with this common denominator.
Subtract
380 over 4
− 3 / 4
= ( 380 − 3 ) / 4
= 377 /4
Simplify
377 / 4
= 94 and 1 /494
Reduce fraction to lowest terms
1 is the greatest common divisor of 377 and 4. The result can't be further reduced.
Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.
Convert improper fraction to mixed number
377 /4
= 94 1 /4
377 ÷ 4 = 94 remainder 1
By writing the whole number as a fraction, we will see that the solution is 377/4
How to solve the expression?
Here we want to take the difference between a whole number and a fraction:
95 - 3/4
To do this, we need to write the whole number as a fraction, to do it, we multiply and divide it by 4:
95 = (4/4)*95 = 380/4
Now we rewrite our expression as:
95 - 3/4 = 380/4 - 3/4 = 377/4
This is the solution of the expression.
If you want to learn more about fractions, you can read:
https://brainly.com/question/11562149
Is 1/4 squared a rational?
Answer:
It is a rational.
Step-by-step explanation:
0.25² = 0.0625
It is a rational.
-8 + 9 · 2 ÷ -3. please explain it to me step by step.
Answer:
-14
Step-by-step explanation:
Type it in a calculator
Answer:
-14
Step-by-step explanation:
positive 9 × 2 = 18 ÷ 3 = -6
negative 6 + negative 8 = - 14
a negative plus a negative always equals a negative
Hope this helps or if you don't understand you can use photo math <3
A phone case, which originally
costs $14.50, is on sale for 32% off.
What is the cost of the phone case
after the discount? ?
Find each angle or arc measure
Answer:
17
Step-by-step explanation:
34/2 because the measure of the arc is half of what it would normally be because it touched the other side