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.
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GIVING OUT BRAINLLEST:What is the slope of the line that goes through the points (1,-2) and (3,6)?
Question 1 options:
-4
4
1
2
answer is 4
brainliest plz :)
Need help Fast Inputs & outputs : equation
Answer:
-3
Step-by-step explanation:
-9t-4=23
-9t=27
t=-3
. If BC=46.5 and AC=82.3 Find AB.
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
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:
Find the volume of the solid under the plane 3x + 5y − z = 0 and above the region bounded by y = x and y = x4.
Answer:
13/18
Step-by-step explanation:
See attachment
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:
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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:
The formula κ(x)= f′′(x) 1+f′(x)23/2 expresses the curvature of a twice-differentiable plane curve as a function of x. Use this formula to find the curvature function of the following curve. f(x)=−5x2 The curvature function is κ(x)=nothing.
Answer:
K(x) = [tex]\frac{-10}{[1 + (-10x)^2]^{\frac{3}{2} } }[/tex] ( curvature function)
Step-by-step explanation:
considering the Given function
F(x) = [tex]-5x^2[/tex]
first Determine the value of F'(x)
F'(x) = [tex]\frac{d(-5x^2)}{dy}[/tex]
F'(x) = -10x
next we Determine the value of F"(x)
F"(x) = [tex]\frac{d(-10x)}{dy}[/tex]
F" (x) = -10
To find the curvature function we have to insert the values above into the given formula
K(x) [tex]= \frac{|f"(x)|}{[1 +( f'(x)^2)]^{\frac{3}{2} } }[/tex]
K(x) = [tex]\frac{-10}{[1 + (-10x)^2]^{\frac{3}{2} } }[/tex] ( curvature function)
if you can help i’d appreciate it
Answer:
B- 44
Step-by-step explanation:
87.5 divided by 2 is 43.75. Since it's a square wall, the length and height are both the same, and since length times height is area, if you divide the area by two, you can get a length of one of the sides. Out of all the answers, 44 is the closest to 43.75.
hope this helped! -brooke :))
Can anyone please solve this question
Lines l and m are parallel lines cut by the transversal line t. Which angle is congruent to ∠7?
Answer:
<3, <2 or <6
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
i had it in usatestprep
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
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:
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.
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:
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"
5/6x6/7=?? Please answer
[tex] \red { \orange {\boxed {\boxed{Answer}}}}[/tex]
[tex] = \frac{5}{6} \times \frac{6}{7} [/tex][tex] = \frac{5 \times 6}{6 \times 7} [/tex][tex] = \frac{30}{42} [/tex][tex] = \frac{30 \div 6}{42 \div 6} [/tex][tex] = \frac{5}{7} [/tex]#IfWrongPleaseReport
#StudyTogetherWithMe
#ILoveMath
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
Please Help Me With This Math ;(
Lori read the total of 48 pages over 3 hours
Answer:
16 pages per hour
Step-by-step explanation:
48 ÷ 2 = 16 pages per hour
Consider the accompanying set of dependent and independent variables. The variable x3 is qualitative with H=High, M=Medium, and L=Low. Complete parts a and b below.
y 63 53 77 53 38 43 34 20 13
x1 45 42 40 37 27 24 20 14 12
x2 74 62 80 53 42 48 35 16 13
x3 H H L M H M L L M
Required:
a. Using technology, construct a regression model using all three independent variables.
b. Complete the regression equation for the model below, where x3 represents the dummy variable Cond1, and x4 represents the dummy variable Cond2.
y= ____ + (____)x2+ (____)x3 + (____)x4
Answer:
Y = 6.6406 + 0.2068x2 + 0.7995x3 - 3.607x4
Step-by-step explanation:
y 63 53 77 53 38 43 34 20 13
x1 45 42 40 37 27 24 20 14 12
x2 74 62 80 53 42 48 35 16 13
x3 H H L M H M L L M
For regression analysis : all variables must be quantitative ;
X3 variable may be represented as thus;
L = 1 ; M = 2 ; H = 3
Hence ;
X3 = 3 3 1 2 1 2 1 1 2
y= ____ + (____)x2+ (____)x3 + (____)x4
Using the online multiple regression calculator :
Y = 6.6406 + 0.2068x2 + 0.7995x3 - 3.607x4
From the general formular of a linear model:
y = w1x1 + w2x2 +... + wnxn + c = 0
Where c = intercept
w1,.. wn = weight of explanatory variable
Hence, the weights of x2 = 0.2068
Weight of x3 = 0.7995
Weight of x4 = - 3.607
Intercept = 6.6406
Help meeee pleaseeeeee
Answer:
B.
Step-by-step explanation:
I think its B because the Y comes before the slope
Mr. Clopu buys an 18-month CD that pays 434% simple interest for $5,000. Find the value of the CD at the end of its term.
Answer:
FV= $5,325.8
Step-by-step explanation:
Giving the following information:
Mr. Clopu buys an 18-month CD that pays 4.34% simple interest for $5,000.
To calculate the future value, we need to use the following formula:
FV= (P*r*t) + P
P= $5,000
r= 0.0434/12= 0.00362
t= 18
FV= [(5,000*0.00362)*18] + 5,000
FV= $5,325.8
The value of the CD at the end of its term is $39,060
Given:
Time = 18 month
Principal = $5000
Interest rate = 434%
Future value = ?
Future value = Principal × Rate × Time
= 5,000 × 434% × 18
= 5000 × 434/100 × 18
= 5000 × 4.34 × 18
= 39,060
Therefore, the value of the CD at the end of its term is $39,060
Read more:
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I need help ASAP due rn!
Solve the equation by completing the square. Show all your steps
X^2-6x+13=0
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 opposite of -9
Answer:
positive 9
Step-by-step explanation:
Answer:
the answer is positive 9
Step-by-step explanation:
just positive 9
The bowling lanes charge an hourly fee for bowling and $2 to rent shoes for the day. Gerry rented shoes and bowled for 2 hours and was charged $12
Which equation represents the cost, f(x), of bowling as a function of x, the number of hours of bowling?
O f(x) = 4x + 3
Of(x) = 2x + 2
Of(x) = 5x - 2
Of(x) = 5x + 2
Answer:
d) f(x) = 5x + 2
Step-by-step explanation:
First we need to identify the variables and how they fit into the equation. in this case we know that the equation is f(x) = mx + b where f(x) is the total cost, m is the hourly cost, x is the number of hours bowled, and b is the price of the shoes.
Now, we need to solve for the hourly cost, so to do this we plug in all the known information to get 12 = m(2) + 2
To solve we need to isolate the variable by first subtracting 2 on both sides to get 10 = m(2) and then dividing both sides by 2 to get 5 = m.
Finally, since we now know that the hourly cost is $5 we can plug this information back into the equation to get f(x) = 5x + 2
Write the decimal represented by each shaded square.
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The decimal would be .70 because there's 70 squares that are shaded.