Answer:
3 1/5
Step-by-step explanation:
Okay, this is a standard division problem, so our equation is:
2 2/5 ÷ 3/4
but then we have to covert the mixed number to an improper fraction:
12/5 ÷ 3/4
do the cross thingy:
4/5 x 4/1 = 16/5 = 3 1/5
So Jason can cut 3 1/5 sections or 3 if you round
Bacteria growth. A colony of bacteria is grown under ideal conditions in a laboratory so that the population increases exponentially with time. At the end of 3 h there are 10,000 bacteria. At the end of 5 h there are 40,000 bacteria. How many bacteria were present initially
Answer:
1250 bacteria
Step-by-step explanation:
The formula for Exponential Growth is given as:
P(t)= Poe^rt
Where
P(t) = Population after time t
Po = Initial Population
r = growth rate
t = time
Hence, solving for the above question , we have to find Po
Making Po the subject of the formula
Po = P(t)/e^rt
Step 1
Find the Exponential growth rate
At the end of 3 h there are 10,000 bacteria.
Hence:
Po = 10000/e^3r.... Equation 1
At the end of 5 h there are 40,000 bacteria.
Po = 40000/e^5r..... Equation 2
Equating both equations together,
10000/e^3r = 40000/e^5r
Hence:
e^5r/e^3r = 40000/10000
e^2r = 4
Take the In of both sides
In (e^2r) =In 4
2r= In 4
r = In 4/2
r = In 2
Step 2
Solve for Po(Initial Population)
Using Equation 2
Po = 40000/e^5r..... Equation 2
r = In2
Po = 40000/e^5 × In 2
Po = 40000/2⁵
Po = 1250 bacteria.
Therefore, they was 1250 bacteria initially
which is the slope of a line that contains A (3,4) and B (2,2)
Simplify the expression:
5(7 − 4n) =
Answer:
35 - 20n
Step-by-step explanation:
Use destributive property.
5 * 7 = 35
5 * 4n = 20n
35 - 20n
BRAINLIST!!!!
What does the expression 4+x+x equal?
What is the measure of
A 54°
D. 66°
B. 56°
E. 114°
C. 58°
Answer:
66 I think might he wrong
Step-by-step explanation:
I'm not sure if its right
Una nadadora entrenó todos los días durante 21días. El primer día nadó 15 minutos, y cada día nadaba 5 minutos más que el día anterior. ¿Cuánto tiempo nadó el último día? ¿Y a lo largo de las tres semanas? Expresa los resultados en horas y minutos.
Responder:
1 hora 55 minutos; 22 horas 45 minutos
Explicación paso a paso:
Dado que:
Tiempo el primer día = 15 minutos
Minutos adicionales cada día siguiente = 5 minutos
Número total de días
Usando la fórmula del enésimo término de una progresión aritmética:
Tn = A + (n - 1) d
A = primer trimestre = 15
d = diferencia común = 5
n = enésimo término
Tiempo de nado el último día (n = 21)
T21 = 15 + (21 - 1) 5
T21 = 15 + 20 * 5
T21 = 15 + 100
T21 = 115 minutos
= 1 hora 55 minutos
SEGUNDO.)
Suma de minutos durante las 3 semanas
Suma de n términos:
Sn = n / 2 * (primer término + último término)
Primer término = 15
Último trimestre = a21 = 115 minutos
n = número de términos = 21
Por lo tanto,
Sn = 21/2 * (15 + 115)
Sn = 10,5 * (130)
Sn = 1365 minutos
= 22 horas 45 minutos
A 2.5-kg bag of flour contains enough flour to make 4 cakes. a) How much flour is needed to make 50 cakes?
Answer:
31.25 kg of flour is needed to make 50 cakes
Step-by-step explanation:
A 2.5-kg bag of flour contains enough flour to make 4 cakes. a) How much flour is needed to make 50 cakes?
We can find it by using unitary method i.e first find quantity of flour needed for 1 cake and then we can find quantity of flour needed for 50 cakes.
Flour needed to make 4 cakes = 2.5 kg
Flour needed to make 1 cake = [tex]\frac{2.5}{4}[/tex] kg
Flour needed to make 50 cakes = [tex]\frac{2.5}{4}\times 50[/tex]
= 31.25 kg
So, 31.25 kg of flour is needed to make 50 cakes
Help please.........
Answer:
it would be 105
Step-by-step explanation:
you are adding 6 each time
Answer:
The answer is 105.
Step-by-step explanation:
Because the amount of money is increasing by 6 dollars for every month.
How many solutions are there to the equation shown below? 7x+12=5x−8
Answer:
Only one and that one solution is -10
Step-by-step explanation:
;w;
Answer:
One Solutionx = -10Explanation:
7x + 12 = 5x − 8
Subtract 12 from both sides7x + 12 - 12 = 5x - 8 + 12
Simplify7x = 5x - 20
Subtract 5x from both sides7x - 5x = 5x - 20 - 5x
Simplify2x = -20
Divide both sides by 22x / 2 = -20 / 2
Simplifyx = -10There Is One solution- PNW
6(g+17)= ...... ............................................................................
Answer:
6g + 102
Step-by-step explanation:
Anyone, PLEASE answer me all the questions with their answers because I have final board exams, so please answer. I will mark Branliest.
Answer:
Ok! I will keep a look out on your account and only answer when im sure that I know the answer! :D
Step-by-step explanation:
HELP PLEASE
Carolina completed the right column of the table to help her translate the number 5.073 to word form.
Step 1: State the number before the decimal point. "Five"
Step 2: Write the word "and."
Step 3: State the number after the decimal point.
Step 4: Write the place value of the last digit.
Step 5: Combine steps 1 to 4 to write the number.
"and"
"seventy-three"
"hundredths"
"Five and seventy-three
hundredths"
In which step was the first error made?
O Step 1
O Step 3
O Step 4
Step 5
Answer:
..mrnekrvgnw4,grmsfc
Step-by-step explanation:
what is the y intercept
Answer:
2
Step-by-step explanation:
Move words to the blanks and equations to the boxes to prove that vertical angles <21 and <23 are congruent.
Answer:
See proof below
Step-by-step explanation:
From the given diagram, we can see that <2 and <3 lies on the same straight line, hence the sum of the angles is 180 degrees (supplementary)
<2 + <3 = 180 .... 1
Similarly. <1 and <2 are also supplementary angles
<1 + <2 = 180 .... 2
Subtract 1 from 2;
<3 - < 1 + <2 - <2 = 180 - 180
<3 - <1 +0 = 0
<3 - <1 = 0
Add <1 to both sides
<3 - <1 + <1 = 0+<1
<3 = <1 (Proved!)
This shows that <3 and <1 are equal
We can also conclude that <3 and <1 are vertically opposite angles and vertically opposite angles are equal
Helpppppp meeee pleaseeee
Answer:
B
Step-by-step explanation:
How many points does the team have?
How many games has this team lost?
Step-by-step explanation:
P = 3W + D
When W = 5 and D = 3, P = 3(5) + 3 = 18.
When P = 50 and D = 14,
(50) = 3W + (14), 3W = 36, W = 12.
Since the team has 12 wins and 14 draws,
they have 35 - 12 - 14 = 9 losses.
Find the value of p
Find the arc length of AB
Answer:
p = 38.22
Step-by-step explanation:
Area of sector
[tex] = \frac{ \theta}{360 \degree} \pi {r}^{2} \\ \\ 12 = \frac{p\degree}{360 \degree} \times 3.14 \times {6}^{2} \\ \\ 12 = \frac{p\degree}{360 \degree} \times 3.14 \times 36 \\ \\ p \degree= \frac{12 \times 360 \degree}{3.14 \times 36} \\ \\ p\degree = \frac{4,320 \degree}{113.04} \\ \\ p \degree= 38.2165605 \degree \\ \\ p = 38.22[/tex]
Your friend used the proportion 40/100 = 80/? To find 40% of 80 and says that the answer is 200. Complete the explanation as to why your friend is incorrect and find the correct answer.
Answer: See explanation
Step-by-step explanation:
My friends calculation is wrong. 40% of 80 is not 200. It is:
= 40% of 80
= 40/100 × 80
= 0.4 × 80
= 32
He should have represented the missing number by x. Therefore,
40/100 = 80/x
Cross multiply
(40 × x) = (80 × 100)
40x = 8000
x = 8000/40
x = 200
I need help with Geometry
Answer:
Yes, this set of lengths can form a triangle.
Step-by-step explanation:
55+76 = 131
131 > 112
Since the sum of smaller lengths is greater than 112, these numbers can form a triangle.
The figure shows ST
intersecting plane A at point V. a right angle. Points P, R, and
Q also lie in the plane.
Which statements are true based on the figure? Select all that apply.
Answer:
A,B,E,F those the answer i have EOC review packet done
Step-by-step explanation:
Points, lines and planes are undefined terms in geometry.
The true statements are:
(c) V lies on line ST(d) ST is perpendicular to plane A(e) ST is perpendicular to RVFirst, we test each option to determine the true and false options.
(a) S, V and U are collinear
Points that are collinear are on the same line
S, V and U are not collinear, because they are not on the same line.
Hence, (a) is false
(b) Q, S, T and U are coplanar
Points that are coplanar are on the same plane
Q, S, T and U are not coplanar, because they are not on the same plane.
Hence, (b) is false
(c) V lies on line ST
Point V is the point of intersection of line ST and plane A
This means that point V lies on line ST and plane A
Hence, (c) is true
(d) ST is perpendicular to plane A
Line ST intersects with plane A at point V at 90 degrees.
Perpendicular lines and planes meet at 90 degrees
Hence, (d) is true
(e) ST is perpendicular to RV
Because line ST intersects with plane A at point V at 90 degrees.
Any line drawn from point V would be perpendicular to line ST
Hence, (e) is true
(f) P, R and Q are collinear
Points that are collinear are on the same line
P, R and Q are not collinear, because they are not on the same line.
Hence, (f) is false
Read more about lines, planes and points at:
https://brainly.com/question/1887287
help me on a multiple choice question, please! correct answer gets brainliest!
consider the following function. y = 18 (1.06)[tex]x^{t}[/tex]
which scenario could represent this function?
- John has 18 pairs of shoes and his amount of shoes increases by 0.6% each year
- John has 18 pairs of shoes and his amount of shoes increases by 6% each year
- John has 18 pairs of shoes and his amount of shoes increases by 1.06% each year
- John has 18 pairs of shoes and his amount of shoes increases by 60% each year
Answer:
its c
Step-by-step explanation:
Find the percent of change. Round to the nearest whole percent if necessary. State whether the percent of change is an increase () or decrease (0)
15 yards to 18 yards
Is this an increase or decrease?
Answer:
increase
Step-by-step explanation:
i need help can so one help me please do not answer it if you don't know the answer.
if y=5x-3, which of the following sets represents possible inputs and outpouts of the function, represented as ordered pairs?
a [(2,5), (-3,-12), (-4,-18)]
b [(-1,-8), (0,-3), (3,12)]
c [(1,4), (7,25), (3,10)]
d [(5,20), (6,12), (1,9)]
Please help me with this geometry problem, tysm
9514 1404 393
Answer:
x = 6∠NBS = 68°Step-by-step explanation:
The sum of the two adjacent angles is equal to the angle that includes both.
∠NBS +∠SBR = ∠NBR . . . . . angle sum theorem
(12x -4) +42 = (17x +8)
30 = 5x . . . . . . . . . . . . . . subtract 12x+8
6 = x . . . . . . . . divide by 5
__
Then the measure of ∠NBS is ...
∠NBS = 12x -4 = 12·6 -4
∠NBS = 68 . . . . degrees
I need the answer fast please!
Answer: 0.0238095238
Step-by-step explanation:
Which of the equations below could be the function rule for the following function?
{(0, -1), (1, 2), (-1, -4), (2, 5)}
y = x - 3
y = x + 1
y = 3 x - 1
y = 2 x + 1
Answer:
the correct equation for which the following functions are true is
c.) y = 3x - 1
Help plsss I will mark as brainlest if correct
Answer:sorry for the delate
Step-by-step explanation:
if the sum of data is 80 and number of data 16,find the value of mean.
Answer:
Its 5
Step-by-step explanation:
Mean= sum/number
=80/16
=5
Please helppppppp!!!!
Answer:
I am not sure if i am correct Buttttt
Step-by-step explanation:
25:180
Answer:
I'm pretty sure it's (180, 1.5) (120, 3.5)
Step-by-step explanation:
I don't think that is right but maybe because it's the coordinates for the two points