Answer:
140 minutes
Step-by-step explanation:
Using m = (y₂ - y₁)/(x₂ - x₁) , we find the rate at which Snail A moves which is also the gradient of the line with which it moves. Given that Snail A was 12.5 inches above the ground at 10 minutes and 16 inches above the ground at 24 minutes, x₁ = 10 min, y₁ = 12.5 inches, x₂ = 24 min and y₂ = 16 inches.
So, m = (y₂ - y₁)/(x₂ - x₁)
m = (16 - 12.5)/(24 - 10) = 3.5/14 = 0.25
Also, the equation of the line,
(y - y₁)/(x - x₁) = m
(y - 12.5)/(x - 10) = 0.25
cross-multiplying, we have
y - 12.5 = 0.25(x - 10)
expanding the bracket, we have
y - 12.5 = 0.25x - 2.5
adding 12.5 to both sides, we have
y - 12.5 + 12.5 = 0.25x - 2.5 + 12.5
y = 0.25x + 10
Since Snail B started at 3 inches above the ground and climbed 0.3 inch per minute. The snails continued at the same speeds, its distance y moved is y = 0.3t + 3
We now find the time x it takes the snails to cover the same distance by equating both expressions. So,
0.25x + 10 = 0.3x + 3
collecting like terms, we have
10 - 3 = 0.3x - 0.25x
7 = 0.05x
0.05x = 7
x = 7/0.05
x = 140 minutes
Azmyne decided to spend 6 1/2 hours studying over the weekend. She spent 1 1/4 hours studying on Friday evening and 2 2/3 hours on Saturday. How much longer does she need to spend studying on Sunday in order to reach her goal?
Answer: [tex]2\ \dfrac{7}{12}\ \text{hours}[/tex]
Step-by-step explanation:
Given
Azmyne decided to study a total of [tex]6\ \frac{1}{2}\ hours[/tex]
She spent [tex]1\ \frac{1}{4}\ hours[/tex] on Friday and [tex]2\ \frac{2}{3}\ hours[/tex] on Saturday
Hours spent on Friday
[tex]\Rightarrow 1\ \frac{1}{4}=\frac{5}{4}\ hours[/tex]
Hours spent on Saturday
[tex]\Rightarrow 2\ \frac{2}{3}=\frac{8}{3}\ hours[/tex]
She must study for
[tex]\Rightarrow \dfrac{13}{2}-\dfrac{5}{4}-\dfrac{8}{3}\\\\\Rightarrow \dfrac{13\times6-5\times3-8\times4}{12}=\dfrac{78-15-32}{12}\\\\\Rightarrow \dfrac{31}{12}=2\ \frac{7}{12}\ \text{hours}[/tex]
Between which two consecutive whole numbers does √14 fall on the number line? Pls awnser
Answer:
3 and 4
Step-by-step explanation:
OS HELP math math Algebra
Answer:
P=1590
Step-by-step explanation:
Which has the higher kinetic
energy: a 195 g bird lying at 17 m/s
or a 2.7 kg cai walking at 2 m/s2
BRAINLIST ANSWER PLEASE HELP
Help me please is this right
answer (2 + 2) - 4 + 2
Answer:
The answer is 2
Step-by-step explanation:
[tex](2 + 2) - 4 + 2[/tex]
Start by solving what inside the parentheses
[tex]4 - 4 + 2[/tex]
Solve the addition
[tex]0 + 2 \\ 2[/tex]
6m - 3k when k=2 and m=7
Answer:
36
Step-by-step explanation:
put in the values of m and m first then solve:
6•7= 42
3•2= 6
42-6= 36
hope this helps have a great day luv <3
Jen measured the growth of a sunflower. In week one, it grew 2 1/2 inches. In week two, it grew 2 3/4 Inches. In week three, it grew 3 1/4 Inches. How much did the sunflower grow over all the three weeks?
Answer:
8 1/2 inches
Step-by-step explanation:
we add the fractions of growth over the 3 weeks
2 1/2 + 23/4 + 3 1/4 = 8 1/2
A straight fence is constructed from posts 6 inches wide and separated by lengths of chain 5 feet long. A certain fence begins and ends with a post. If there are 7 posts, what is the total length of the fence?
Answer: 72 ft
Step-by-step explanation:
Given
The width of a post is [tex]w=6\ in.[/tex]
Posts are separated by [tex]5\ ft[/tex] chain
for 2 posts, length is [tex]6+5+6=17\ ft[/tex]
for 3 posts, length is [tex]6+5+6+5+6=28\ ft[/tex]
for 4 posts, it is [tex]28+5+6=39[/tex]
i.e. 11 ft is adding on the addition of another post
for 7 posts it is [tex]17+11\times 5=72\ ft[/tex]
Thus, the total length of the fence is [tex]72\ ft[/tex]
Alisha received a fruit basket as a thank you gift and it had 18 tangerines, 4 pears, 2 plums, 6 bananas, and 3 peaches. Write the ratio of tangerines to pears and bananas in simplest form.
Answer:
9:14
Step-by-step explanation:
18:(18+4+6)
18:28
(18÷2);(28÷2)
9:14
Which expression matches this algebraic expression after using Distributive
property a(b+cq - bd).
abcq - abd
ab+ acq - abd
ab + acq -bd
ab + cq -bd
‼‼‼‼❗❗‼ HELP NEED RIGHT ANSWERS
Answer:
17,296
Step-by-step explanation:
All you do is 92x47 x4
Someone please help me
Answer:
1 read any graph left to right if up positive if down negative
Answer: 1
Step-by-step explanation:
we choice two points to find the slopes.
(0,-5) and (2,-3)
[tex]slope=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\\=\frac{-3-(-5)}{2-0}\\=\frac{2}{2}\\ \\=1[/tex]
Pls help i am stuck on this
Answer:
1,4.560
Step-by-step explanation:
I am not so sure.
A man walks into a bank with $1000 all in $1 bills. He asks the
bank teller to put specific amounts in 10 individual bags, so that
whenever he decides to come into the bank to request any amount
up to his $1000, the teller can just hand him bags without splitting
them up. How much money is in each bag?
Answer:
$100
Step-by-step explanation:
100 bills in each bag
$100 in 10 bags
Name an event that has a probability of 2/7
Answer:
2/7
Step-by-step explanation:
7 balls in a box 3 are red and 2 are yellow and 1 is white what is the probability of find a yellow ball?
16) Italia and Hugo sold a total of 137 glitter tattoos at the football game. Hugo sold
18 fewer than twice as many as Italia. How many tattoos did Hugo sell?
Answer:
i think ¹27 yea i ththatthats the answer hope it is
PLS HELP! TELL ME HOW TO DO IT!
91X + 637 = 273 Find X
pls help?
Answer:
X = -4
Step-by-step explanation:
91x + 637 =273
First subtract 637 from both sides: 91x = -364
Then, divide both sides by 91 to get X by itself: X = -4
(3+7i)+(-5+2)-(-7+6i)
HELP PLS!! What is the diameter of a circle whose circumference is 16pi centimeters?
32 cm
16 cm
4 cm
8 cm
answer: 8
Explanation:
Use the formula for the area of a circle:
A = π r 2
Here, the area is 16 π
16 π = π r 2
Divide both sides by
16 = r 2
Take the square root of both sides:
√ 16 = √ r 2
4 = r
Since the radius of the circle is
4
, the diameter is twice that:
d = 4 × 2 = 8
help
Santino pays $52.65 for twenty-seven 15-count boxes of granola bars. How much does 1 box of
granola bars cost?
Convert 0,0909 to a ratio of two integers
Answer:
not sure
Step-by-step explanation:
Pam ordered a circular hot tub cover with a diameter of 80 inches. Find the area of the hot tub cover.
Answer:
5026.55in²
Step-by-step explanation:
Area = πr^2
radius (r) is half of the diameter, hence the radius is 40 inches
So after plugging that in, the equation should look like
Area = π(40)^2
A = 1600π ≈ 5026.55
The units for this is in² so just add that in the end
logarithm
[tex] log(53.75) [/tex]
Answer:
log(53.75) ≈ 1.73
Step-by-step explanation:
Not sure if this was a question but I just put it into my calculator.
The height of a cone is 6 centimeters and the volume is 150 pi. Find the radius of the cone.
Answer:
4.89
Step-by-step explanation:
Equation for radius of a cone is
R= square root of 3 * v/ pi *h
R= Square root of 3 * 150/pi *6
R= 4.886025119
= 4.89
I hope its right. Hope it helped.
Answer:
r = 4.89
I don't know how to right my explanation but that's the answer.
Can someone please help me
Answer:
radius = 10
(x-5)² + (y-11)² = 100
Step-by-step explanation:
The circumference is given, we get r = 20π/2π = 10
∴Equation of circle is (x-5)² + (y-11)² = 100
Answer:
hiii
Step-by-step explanation:
Eight years ago, Manny was 4 years old. Let m equal Manny's age now. Circle every equation that shows Manny's age now.
Answer:
4+8=M or 4+8=12 or just 12
Step-by-step explanation:
there isnt anything to circle so but since he was 4, 8 years ago, you would add 4 and 8.
Mia has a bag of jellybeans. She has 1 cherry, 1 lime, 8 grape, and 2 lemon jellybeans. If she pulls out 1 jellybean without looking, what is the probability that she pulls out a flavor other than grape?
Answer:
7.692
Step-by-step explanation:
have a nice day :D
Answer: 1/3 or .33
Step-by-step explanation:
If we have 12 jelly beans and there is 8 grape jelly beans and 4 other jelly beans that arent 8 you add the numbers and get a denominator of 12 then you add the number of jellybeans you are focusing on which equals 4/12 then we simplify 4/12 into 2/6 then 1/3 and then we have 1/3! Hope this helps have a great day!
It takes 313131 employees and \$7500$7500dollar sign, 7500 to build a car, and it takes 191919 employees and \$4300$4300dollar sign, 4300 to build a motorcycle. Genghis Motors wants to spend more than \$84000$84000dollar sign, 84000 to build cars and motorbikes using at most 706706706 employees.
Complete question :
It takes 313131 employees and \$7500$7500dollar sign, 7500 to build a car, and it takes 191919 employees and \$4300$4300dollar sign, 4300 to build a motorcycle. Genghis Motors wants to spend more than \$84000$84000dollar sign, 84000 to build cars and motorbikes using at most 706706706 employees. Let CCC denote the number of cars they build and MMM the number of motorbikes they build. Write an inequality that represents the condition based on the number of employees. Write an inequality that represents the condition based on the number of dollars.
Answer:
31C + 19M ≤ 706
7500C + 4300M > 84000
Step-by-step explanation:
C = number of cars built
M = number of motorcycles built
Cost of building a car :
Cost = 31 + $7500
Cost of building a motorcycle,:
Cost = 19 + 4300
To build, C cars :
Number of employees = 31C
7500 * C = 7500C
To build, M motorcycles :
Number of employees = 19M
4300 * M = 4300M
Genghis budget :
Amount > 84000
Number of employees ≤ 706
Hence, the constraints
31C + 19M ≤ 706
7500C + 4300M > 84000
