A population of ants is 10,000 at the start of April. Since then, it triples each month.
Month since April Number of Ants
0
1
2
3
4
Answer:
Month since April Number of Ants
0 10,000
1 30,000
2 90,000
3 270,000
4 810,000
Every month, the ant population triples so the multiply the previous population by 3 to find out the new population.
0 months from April = 10,000 * 1 = 10,000 ants
1 month from April = 10,000 * 3 = 30,000 ants
2 months from April = 30,000 * 3 = 90,000 ants
3 months from April = 90,000 * 3 = 270,000 ants
4 months from April = 270,000 * 3 = 810,000
James, Ryan and Jill share £120 in the ratio 3:2:1.
Find out how much each person recieves.
Answer:
James = £60, Ryan = £40 and Jill = £20
Step-by-step explanation:
James - 3, Ryan - 2 and Jill - 1
3 + 2 + 1 = 6
£120 / 6 = 20
Times 20 by each of the three numbers (3, 2 and 1)
3 x 20 = £60 (James)
2 x 20 = £40 (Ryan)
1 x 20 = £20 (Jill)
Answer:
James gets £60
Ryan gets £40
Jill gets £20
Step-by-step explanation:
Add up the ratio which would be 6 then divide it by the original sum which is £120 so the answer would be 20. You would then multiply 20 by each number so 20x3= 60. 20x2= 40. 20x1=20
All these should add up to your original sum and if they do you know you've done it right!
A rectangle has a width of 8 units and a
length of 10 units. What is the length of the
diagonal of this rectangle
Answer:
12.8 units
Step-by-step explanation:
Adding a diagonal makes it into 2 of the same right-angled triangles.
In right angled triangles, you can use Pythagoras' therorem which says that a^2+b^2=c^2 where a and b are the shorter sides and c is the diagonal.
This means that 8^2+10^2=diagonal^2=64+100=164
The diagonal is then the square root of 164 which equals 12.806248...
Azil runs 6 times four-fifths laps on Monday. Which fraction represents the number of laps that Azil runs on Monday?
Answer:
24 / 5 laps
Step-by-step explanation:
Fraction of laps run = 4/5 laps
Number of times lap was run = 6
Fraction representing total laps run :
6 * (4/5)
= 24 / 5
Or
24 /5 = 4 4/5 laps
IM GIVING 43 POINTS PLS ANSWER ASAP I MARK BRAINLIEST
Answer:
m = 3Step-by-step explanation:
Get two points and use slope formula
Points
(50, 40) and (60, 70)Find the slope:
m = (y₂ - y₁)/(x₂ - x₁) m = (70 - 40)/(60 - 50) = 30/10 = 3Here is a sketch of a curve.
The equation of the curve is y = x2 + ax + b
where a and b are integers.
ol
The points (0, -7) and (7,0) lie on the curve.
Find the coordinates of the turning point of the curve.
Finish your answer by writing, Turning point at (... , ... )
+
Total marks: 4
Answer:
turning point: (-3 , -16)
Step-by-step explanation:
y = x² + ax + b pass(0,-7)(7,0)
(0)² + 0*a + b = -7 b= -7
(7)² + 7*a - 7 = 0 7a = 42 a = 6
y = x² + ax + b = y = x² + 6x - 7 = (x+3)² - 16
(h,k): vertex equation: y = a(x-h)² + k
h = -3 k=-16
PLEASE HELP WILL GIVE BRAINLEST
Which of the following statements is not true?
-1 < -1.5
1.7 > 1
≤
0.01 < 0.1
Answer:
-1 < -1.5
Step-by-step explanation:
when using negative numbers, larger numbers will be smaller. so even tho 1.5 seems to be .5 bigger, it is negative, so it is .5 smaller
What is the circumference of a circle if the radius is 6.7500
Use 3.1415 as pi
Round to the nearest 1000th
Answer:
Circumference of a circle is C=2 pi r =2(3.1415) (6.7500)=42.4575
Step-by-step explanation
C= 42.4575 , now round to the nearest 1000th...= 42.5000
Can someone please help me????
Answer:
No
Step-by-step explanation:
No, because BA is the same side as EF and the difference is 5. But CA is the same side as ED and the difference is 7.5. All sides would have to increase or decrease by the same number to get to the other triangle and in this case they do not.
To eliminate the y terms, you can multiply the first equation by 5 and the second equation by what number?
Step-by-step explanation:
the second equation should be multiplied by 9
Jenna and Yvonne practice the high jump. Jenna can jump 2 feet. Yvonne can
jump 3 feet. Decide if each equation be used to find how much higher Yvonne
mps then Jenna. Choose Yes or No for each equation.
Answer:
only 1 and 2 are correct
Step-by-step explanation:
Here, we want to select appropriately
From the question, all we had to do is to make a subtraction; and that is;
3 5/12 -2 2/3
1. 2 8/12 can be reduced to 2 2/3; so the answer here is yes
2. 3 15/36 can be reduced to 3 5/12
and 2 24/36 can also be reduced to 2 2/3; so this is correct also
3. This is wrong
4. This is wrong
Please help I don't know where to start
A and B are points with position vectors a and b respectively. C is the point on AB such
that AC = 3CB .
Find the position vector of C in terms of a and b.
Answer:
I hope you understood
Lola's hair today is 24" long. It grows 1.5" per month. She is a pretty tall girl for her age, about 60" right now! Her brother has long hair too. His hair is about 12" long. What does the y stand for?
If I'm correct, you're asking which variable is the dependent variable y from the question
Answer and explanation:
The equation can be modelled:
y= 1.5x
Where y is the current length of the hair
x is the number of months of hair growth
We can see from the equation therefore that y is a dependent variable that depends on x the independent variable, the number of months, to get a value. In other words given that her hair grows at a constant rate of 1.5 inches per month, her hair length is based on number of months x of growth in inches of hair.
Explain why two perpendicular lines will remain perpendicular if they are both dilated by the same factor
and using the same center
Answer:
because they are congruent to the original angle
Step-by-step explanation:
they are congruent to the original triangle. nothing will change.
The two perpendicular lines will remain perpendicular because it should be congruent to the original angle.
What is congruent?The Two geometric figures should treated be congruent in the case when it should have coincided. Since the both perpendicular lines are dilated by the same factor also the same center should be used due to this, the two perpendicular lines should remain perpendicular.
Therefore, The two perpendicular lines will remain perpendicular because it should be congruent to the original angle.
Learn more about lines here: https://brainly.com/question/24271130
will give brainliest
find the missing lengths of the sides.
Given:
The figure of a right angle triangle.
[tex]a=b[/tex]
Hypotenuse = [tex]9\sqrt{2}[/tex] in.
To find:
The missing lengths of the sides.
Solution:
In the given right angle triangle both legs a and b are equal, and hypotenuse is [tex]9\sqrt{2}[/tex] in.
Using Pythagoras theorem, we get
[tex]Hyponteuse^2=Base^2+Perpendicular^2[/tex]
[tex](9\sqrt{2})^2=(a)^2+(b)^2[/tex]
[tex]81(2)=(a)^2+(a)^2[/tex] [tex][\because a=b][/tex]
[tex]81(2)=2(a)^2[/tex]
Divide both sides by 2.
[tex]81=(a)^2[/tex]
Taking square root on both sides.
[tex]\pm \sqrt{81}=a[/tex]
[tex]\pm 9=a[/tex]
Side cannot be negative. So,
[tex]9=a[/tex]
Thus, the missing side lengths are a=9 in and b=9 in.
Therefore, the correct option is C.
Mrs.Browns rectangular kitchen is 10 ft wide and.16 ft long, if she creates a scale drawing.With a length of 4 inches, what would be the width
Answer:
2.5 inches
Step-by-step explanation:
1 feet = 12 inches
The length is 16 ft x 12 = 192 inches
The length was scales by an unknown measure which i would represent with x . The equation is as follows
192 inches x a = 4 feet
a = 48
The kitchen was scaled by 48
10 x 12 = 120 inches
120/48 = 2.5 inches
A number cube is rolled and a coin is tossed. The number cube and the coin are fair. What is the probability that the number rolled is greater than 2 and the coin toss is tails?
Answer:
'5,3$492
Step-by-step explanation:
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please answer will give brainliest
Answer:
2 Gallons
Step-by-step explanation:
20.5ft x 16.4ft = 336.2
336.2 divided by 200= 168 gallons
Since you can not buy 1.68 gallons you will have to buy 2 galllons instead.
Hey guys I need help for this math problem is about function thanks if you can have a good day
Answers:
Graph A is a function
Graph B is not a function
========================================================
Explanation:
To check if we have function or not, we apply the vertical line test. This test is where you ask yourself: "Is it possible to draw a single vertical line through more than one point on the curve?"
If the answer to that question is "yes it is possible", then we do not have a function. Graph B shows that we can draw a line through say x = 2 and have the vertical line intersect at points (2,2) and (2,4). The input x = 2 leads to multiple outputs y = 2 and y = 4 simultaneously. This is why graph B is not a function.
A function is only possible when any x input from the domain leads to exactly one y output in the range. Graph A is a function because we cannot draw a single vertical line to intersect through that curve more than once.
You have a rental company come and set up a tent for a wedding banquet. Each pole is 7 feet tall and the 20 foot-long rope goes from one stake to an eyelet at the top of the pole and back to the other stake. What is the equal distance each stake will be away from the base of the pole?
Answer and explanation:
The connection of the rope from the stake to the pole will form a triangle so that one side is the hypotenuse(the rope), another is the opposite side(the pole) and the other is the adjacent side(the distance from the stake to the pole).
The unknown side is the adjacent side which is the distance from the stake to the pole. To find an unknown side in a triangle in this form, we use the Pythagorean theorem.
Therefore c²=a²+b²
c=20ft
a= 7ft
b= unknown
So we use the formula to find unknown side(distance from stake to base of pole)
20²=7²+b²
400=49+b²
b²=400-49
b²= 351
b=√351
b= 18.735ft
Therefore distance from stake to base of pole = 18.735 feet
equivalent Find the number that makes the ratio equivalent to 1:7. 4:
Answer:
28
Step-by-step explanation:
cross multiply
what does 6 × 9 + 6 + 9 equal? :)
Pls help me with my homework
Answer:
Yes
Step-by-step explanation:
It is a right triangle. If a(57) squared plus b(76) squared equals c(95) squared, it is a right triangle
Plz help there is picture
Answer:
the first one is right ahaha
Step-by-step explanation:
How would I get the answer to this problem.
Answer:
[tex]\displaystyle m=\frac{-1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (3, 7)
Point (9, 5)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{5-7}{9-3}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{-2}{6}[/tex][Fraction] Simplify: [tex]\displaystyle m=\frac{-1}{3}[/tex]Two sides of a triangle have sides 11 and 16. The length of the third side must be greater than
__and less
than
A) 10, 17
B) 4,28
C) 5,27
D) 11,16
Answer:
c
Step-by-step explanation:
any smart people want to help me
Answer:
$217.50
Step-by-step explanation:
$135 + (11*$7.50) = $217.50
Answer:
B
Step-by-step explanation:
26 students = 15 students + 11 students
135 for 1st 15, 7.50 for rest
135 + 7.50(11) = 217.50
Therefore, B
x - 0.25x = 0.75x
what statement can match that equation ?
example: decrease a number by 75% is the same as multiplying by 45%
20 POINTS IF YOU GET THIS I NEED HELP
Answer:
sum=3.2559347
Step-by-step explanation:
product= 2x6x2 798.364
did it on edginuty and got it right