scientists are studying a population of 20 bugs and tracking the population, y, as it grows over time, t, in weeks. If the population grows by at least 6.1% each week, which system of inequalities represents the scenario?
Answer:
I am pretty sure it is
y >_ 20(0.061)^t
t >_ 0
Step-by-step explanation:
. If BC=46.5 and AC=82.3 Find AB.
What is the opposite of -9
Answer:
positive 9
Step-by-step explanation:
Answer:
the answer is positive 9
Step-by-step explanation:
just positive 9
most ants can lift 50 times their own weight. If an ant weighs 5 milligrams, how many ants would it take to lift a 500 gram bag of sugar?
Answer:
2000
Step-by-step explanation:
5*50=250 mg
250*4=1000 mg
1000*500=500 m
4*500=2000
It would take 2,000 ants to hoist a 500-gram bag of sugar.
What is proportionality?the property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.
Given, most ants can lift 50 times their own weight.
also given every ant has 5 mg weight.
So, 1 ant can lift = 5mg * 50 = 250mg
Since 1 gram has 1000 mg
Ant can lift = 1/4 grams
thus,
1/4 gram of sugar can be lifted by = 1 ant
1 gram of sugar can be lifted by = 4 ant
500 grams of sugar can be lifted by = 4 * 500 ant = 2000 ants
Therefore, 2000 ants would it take to lift a 500-gram bag of sugar.
Learn more about proportionalities here:
https://brainly.com/question/3254974
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My four-year-old son loves playing out in the garden. His favourite activity is digging up and inspecting creepy crawlies, especially snails. If he is patient enough, after the initial shock of being uprooted, they will emerge cautiously from the safety of their shells and start to glide over his little hands leaving viscid trails of mucus. Eventually, when he tires of them, he will discard them, somewhat callously, in the compost heap or on the woodpile behind the shed. Late last September, after a particularly busy session in which he had unearthed and disposed of five or six large specimens, he came to me as I was sawing up wood for the fire and asked ‘Daddy, how many snails is [sic] there in the garden?’ A deceptively simple question for which I had no good answer. It could have been 100 or it could have been 1000. To be quite honest, he would not have comprehended the difference. Nevertheless, his question piqued an interest in me. How could we figure this out together? We decided to conduct an experiment. The next weekend, on Saturday morning, we went out to collect snails. After ten minutes, we had a total of 23 of the gastropods. I took a sharpie from my back pocket and proceeded to place a subtle cross on the back of each one. Once they were all marked up, we tipped up the bucket and released the snails back into the garden. A week later we went back out for another round. This time, our ten-minute scavenge brought us just 18 snails. When we inspected them closely we found that three of them had the cross on their shells, while the other 15 were unblemished. This was all the information we needed to make the calculation. What is the total amount of snails
Answer:
There are 38 snails.
Step-by-step explanation:
Plz help Plz help
Ella played a math game and had the five cards shown.
7 0 -4 -10
Her score was the sum of the numbers on these five cards. What was Ella’s score?
3
⊝
23
−5
⊝
Not here
Answer:
-7 (Not here)
Step-by-step explanation:
1. A negative plus a negative equals a negative/ a negative minus a positive equals a negative so: -10 -4 = -14
2. -14 + 7 = -7 so your answer is -7 and it's not an answer choice so you would select "Not here"
which expression means 8 less twice a number
8-2n
2n-8
Answer:
I think 2n-8 because you are taking 8 away from 2 times a number
Step-by-step explanation:
What is the answer to this
AT&T charges a connection fee of 35 cents and 3 cents per minute. Verizon charges a connection fee of 45 cents and 2 cents per minute. At how many minutes does a call cost the same no mater what company you use?
Answer:
10 Minutes
Step-by-step explanation:
At&t = 3x+35
Verizon = 2x+45
2x+45=3x+35
-2x -2x
45=x+35
-35 -35
x=10
I need help ASAP due rn!
Solve the equation by completing the square. Show all your steps
X^2-6x+13=0
Divide the number 484 into two parts in a ratio of 7 : 4. How much bigger is the first number than the second number?
Answer:
I don't known
Step-by-step explanation:
Answer:
132
Step-by-step explanation:
First, obtain the total of the ratio:
7+4 = 11
Then, make equations:
[tex]\frac{7}{11} =\frac{x}{484}[/tex] and [tex]\frac{4}{11} =\frac{x}{484}[/tex]
Next, solve:
11x = 7*484 → 11x = 3388 → x = 308
11x = 4*484 → 11x = 1936 → x = 176
Finally, find the difference:
308 - 176 = 132
(**If it is asking how many times bigger... 308/176 = 1.75 or [tex]\frac{7}{4}[/tex] )
a child walks 3/10 of a mile in 1\5 hour. At this rate, how far will the child walk in 1 hour
Answer:
1½ mile
Step-by-step explanation:
Given
3/10 mile = ⅕ hour
Required
Determine the distance in 1 hour
Since rate is constant, we have:
3/10 mile = ⅕ hour
Multiply both sides by 5
5 * 3/10 mile = ⅕ hour * 5
15/10 mile = 5/5 hour
3/2 mile = 1 hour
1½ mile = 1 hour
Hence,the child will walk 1½ mile in 1 hour
Can anyone please solve this question
MATH what is 9x1 9x2 9x3 9x4 9x5 9x6 9x7 9x8 9x9 9x10
EASY MATH 10 POINT
Answer:
9
18
27
36
45
54
63
72
81
90
Step-by-step explanation:
I just take the last numer of the times 9 and subtract 1 and put whatever equals 9.
example 9x7=63
7-1=6+3 so 63
Sorry if it does not make sense
Answer ASAP: What is the smallest positive number that can be added to 55 so that the resulting number and 45 have 9 as their greatest common factor?
Answer:
55 + 45 = 90
90 divided by 45 = 2
90 divided by 9 = 10
Step-by-step explanation:
what is the product of the complex number 3-4i and 6+I where I =-1
Answer:
15-20i
Step-by-step explanation:
Hello,
When l =-1
6+l = 6-1 = 5
and 5(3-4i)=15-20i
Thanks
Need help Fast Inputs & outputs : equation
Answer:
-3
Step-by-step explanation:
-9t-4=23
-9t=27
t=-3
Simplify [tex]\frac{14^{15} }{14^{5} }[/tex]:
A. [tex]1^{3}[/tex]
B. [tex]1^{10}[/tex]
C. [tex]14^{3}[/tex]
D. [tex]14^{10}[/tex]
Answer:
The answer is D 14^10
Answer:
A
Step-by-step explanation:
Please Help Me With This Math ;(
mental math again 60x40x2
Answer:
the answer is 4800
Answer:
What is mental math?
Mental math is definitely what it sounds like—doing math in your head. But it’s also more nuanced than that. Being good at mental math tricks doesn’t mean that you’re able to solve 8974387 x 396 in your head instantly; while cool, that wouldn’t be very practical for daily life. So what does mental math mean?
It really just means being able to calculate in your head. It doesn’t mean you can solve every type of problem every time, nor is it a skill that you either “have” or “don’t have”; it’s a skill that you can learn, practice, and improve so that you can solve a bigger range of problems. And mental math certainly doesn’t have to be entirely in your head, either. Jotting down the numbers you need to remember to give you a head start (no pun intended), or writing down your solutions at each “step,” does not negate the “mental”-ness of the math.
Is mental math useful?
Ask this question again next time you’re trying to figure out a tip or doing any kind of construction or home improvement project! And, in addition to handy practical uses, knowing how to do mental math can also just keep your brain sharp and curb your reliance on calculators. Because, come on, doesn’t it feel good to reach for a calculator only to realize, “Wait, I don’t need it!” and figure out the answer in your head? (Spoiler: It does!) Not to mention knowing how to mentally solve small, simple math problems can save you some steps and help you out if you do need to solve a more complicated, difficult problem. There are always going to be some math problems that it would be silly to not solve with a calculator, but, yes, mental math is useful. And if you’re wondering if math itself is useful, math lessons you’ll actually use in real life.
Step-by-step explanation:
Identify the holes, vertical asymptotes, and horizontal asymptotes of the following.
[tex]f (x) = \frac{2}{x-3}[/tex]
Answer:
Horizontal asymptote: y = 0
Vertical asymptote: x = 3
Step-by-step explanation:
The vertical asymptote in this graph would be when x = 3 because it would make the denominator 0, which would make the equation undefined.
There will not be any holes in the graph, because there won't be any point undefined in the function except for when x = 3, but that's a vertical asymptote.
Now, for the horizontal asymptote, we see what value y approaches as x approaches plus and minus infinity. Since x is in the denominator, y will approach 0 when it's plus or minus infinity.
Horizontal asymptote: y = 0
Vertical asymptote: x = 3
what is (2 cubed) to the fourth power
Answer: 4096
Step-by-step explanation: 2^3=8, 8^4=4096.
Answer:
4096
Step-by-step explanation:
2 cubed=8
8^4=4096
Please help will give brainliest answer
Answer:
side C'D' = 2.8 units
Step-by-step explanation:
Recall that a rotation does NOT change the dimensions and angles of the triangle, therefore side C'D' should have the same length as the original side CD (which is 2.8 units)
Therefore side C'D' = 2.8 units
The width of a rectangle is twice the length. The perimeter is 102 feet. Find the dimensions .
Answer:
he formula for perimeter is the sum of
twice the width and twice the length, so
the formula would be:
Perimeter = 2W + 2L
In this problem:
Width is unknown (x)
Length is twice the width (2x)
and Perimeter = 60, so to set it up:
102= 2x + 2(2x)
102= 2x + 4x
102 = 6x
x = 10
Step-by-step explanation:
I DONT KNOW MUCH ABOUT THIS TOPIC . I HOPE IT HELPS
Help meeee pleaseeeeee
Answer:
B.
Step-by-step explanation:
I think its B because the Y comes before the slope
Barb’s Grandma is always creating math problems for her to solve. In one problem she gave Barb a store receipt that listed 72 identical items, each the same price, for a total cost of $*67.9* Barb’s grandma covered the first and last digits of the total price on the receipt with stars. Determine the value of the digits that Barb’s Grandma covered.
9514 1404 393
Answer:
367.92
Step-by-step explanation:
72 = 9·8
In order for the total cost to be divisible by both 8 and 9, it must meet a couple of requirements:
The sum of the digits must be divisible by 9. The last three digits must be divisible by 8.In order for the sum of digits to be divisible by 9, the first and last digits must total 5 or 14. (The total of existing digits is 22. The sum needs to be 27 or 36.)
In order for the last three digits to be divisible by 8, the last digit must be 2*. So, the first digit must be 5-2=3.
The first digit is 3; the last digit is 2.
The total cost is 367.92. Each item price is 367.92/72 = $5.11.
_____
* 790/8 = 98.75, so (790 + 2)/8 will be 99. 792 is the only number starting with 79 that is divisible by 8.
The graph shows the cost C in dollars of W pounds of blueberries a proportional relationship. select all the true statements
A 1 pound of blueberries cost $2.75
B 2.75 pounds of blueberries cost $1
C 5pounds of blueberries cost $15
D 12 pounds of blueberries cost $33
E The point (3,9) is on the graph of the proportional relationship
Answer:
A, D
Step-by-step explanation:
Cost ($) = C
lbs (Blueberries) = W
One pound of blueberries costs $2.75 because to find how much 1 lb is you need to divide by 6.
6 is the number of pounds at that point in the graph, so you divide both the pounds and cost by 6 to find how much 1 lb is.
To find how much 5 lbs costs, multiply both the cost and number of pounds ($2.75 to 1 lb) by 5.
2.75 * 5 is 13.75 (This means C is wrong)
Do the same but with 12 for D
2.75 * 12 is 33, so D is correct
You could do the same method as above for E, but the easier way to do this is to see that the relationship of 3:9 is equal to a 1:3 ratio, which is the same as what the pounds to cost ratio is (which is 1:2.75)
Hope this helps! ^_^
A linear graph is represented by a straight line
The true options are:
A. 1 pound of blueberries cost $2.75 D. 12 pounds of blueberries cost $33The points on the graph are:
[tex]\mathbf{(x_1,y_1) = (0,0)}[/tex]
[tex]\mathbf{(x_2,y_2) = (6,16.50)}[/tex]
The slope (m) of the graph is:
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{16.50 - 0}{6-0}}[/tex]
[tex]\mathbf{m = \frac{16.50}{6}}[/tex]
[tex]\mathbf{m = 2.75}[/tex]
The above means that: 1 pound of blueberries costs $2.75
Hence, (a) is true, and (b) is false
Multiply 2.75 by 5, to get the cost of 5 blueberries
[tex]\mathbf{C(5) = 2.75 \times 5=13.75}[/tex]
This means that: (c) is false
Multiply 2.75 by 12, to get the cost of 12 blueberries
[tex]\mathbf{C(12) = 2.75 \times 12=33}[/tex]
This means that: (d) is true
(e) is false, because:
[tex]\mathbf{\frac{9}{3} \ne 2.75}[/tex]
Hence, the true options are: (a) and (d)
Read more about linear graphs at:
https://brainly.com/question/11804653
3x-(-54x)=45= whats the sum
Answer:
x= 15/19 = 0.789
Step-by-step explanation:
Answer: 0.789 is the correct answer plz brainliest big brother
Piper and her children went into a movie theater and she bought $59.50
bags of popcorn and candies. Each bag of popcorn costs $8.50 and each candy costs
$4.25. She bought 8 more candies than bags of popcorn. Graphically solve a system
of equations in order to determine the number of bags of popcorn, x, and the number
of candies, y, that Piper bought.
6 candy boxes
Step-by-step explanation :
Since they both bought their own popcorn that means they both spent $8 on popcorn making that a total of $16. Therefore we now only need to find one variable which is the number of candy boxes that they bought in order to reach the $25 total that they spent. This variable can be represented as x in the following algebraic equation.
(2*8) + 1.50x = 25
16 + 1.50x = 25 ... subtract 16 from both sides
1.50x = 9 ... divide both sides by 1.50
x = 6
Finally, we can see that Billy and Tommy bought a total of 6 candy boxes.
Answer:
This is the answer on Delta Math
Step-by-step explanation:
What digit is in ten thousands place 983,471?
7
The digit in ten thousandths place is 7 as it is the fourth digit to the right of decimal point.
Answer:
8
Step-by-step explanation:
9= one hundred thousands
8= ten thousands
3= one thousands
4= one hundreds
7= tens
1= ones