David has 4 cages of hamsters. The second cage has 1/2 as many hamsters as the first. The third cage has 1/2 as many hamsters as the second. The fourth cage has 1/2 as many hamsters as the third. What are the fewest hamsters David can have?

Answers

Answer 1

Answer:

Lets reverse it

The 4th cage can have minimum 1 hamster

The 3rd cage can have minimum 2 hamster

The 2nd cage can have minimum 4 hamster

The 1st cage can have minimum 8 hamster

David has 15hamsters

Brainliest please

Answer 2

The fewest hamsters David can have are 15

What is Number system?

A number system is defined as a system of writing to express numbers.

Given that David has 4 cages of hamsters.

The second cage has 1/2 as many hamsters as the first.

The third cage has 1/2 as many hamsters as the second.

The fourth cage has 1/2 as many hamsters as the third.

Let the first cage has n number of hamsters

the first cage has n/2 number of hamsters

the second cage has n/4 number of hamsters

the third cage has n/8 number of hamsters

the third cage has n/16 number of hamsters

4=n+n/2+n/4+n/8+n/16

n=15

Hence, the fewest hamsters David can have are 15

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Related Questions

What is the product of `4` and `-2x + 3`?

Answers

9514 1404 393

Answer:

  -8x +12

Step-by-step explanation:

The distributive property can help you simplify the product.

  (4)(-2x +3) = (4)(-2x) +(4)(3) = -8x +12

if triangle 3 shows a 100 degree rotation of triangle 1 about point p what is the degree of intersection of lines m and n?

Answers

The given transformations are rigid transformations, such that

the image and the preimage have the same dimensions.

Correct responses:

The degree of the intersection of lines m and n is; 50°

This image also shows two A. reflection about lines m and then line n.

How can the angle between the lines be determined, and what is a reflection?

Given;

The images of triangle 1 are; Triangle 2, and triangle 3

Taking the image of line m as line m, we have;

Required:

The degree of the intersection of lines m and n

Solution:

Triangle 2 is the reflection of triangle 1 across line m, and

triangle 3 is the reflection of triangle 2 across line n

The distance of triangles 1 and 2 from line m are equal

The distance of triangle 2 and 3 from line n are equal.

Whereby the degree of rotation of triangle 1 to triangle 2, θ₁ is

equal to the degree of rotation of triangle 2 to triangle 3, θ₂,

we have;

θ₁ = θ₂

100° = θ₁ + θ₂ = 2·θ₁

θ₁ = θ₂ = 100° ÷ 2 = 50°

The angle of rotation of line m to line n = Rotation of triangle 1 to triangle 2 = θ₁ = 50°

The degree of the intersection of lines m and n = 50°

The transformation to give triangle 2 from triangle 1 is a reflection about line m.

Similarly, the transformation that gives triangle 3 from triangle 2 is a reflection about line n.

Therefore;

The image also shows two A. Reflections about line m and then line n.

Learn more about rigid transformations here:

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| 2. You are given an isosceles trapezoid ABCD with median XY. Complete the following.
m

Answers

Answer:

m∠CDA=65°

Step-by-step explanation:

This is because an isosceles trapezoid has both pairs of base angles that are equivalent to one another.

Simplify as far as possible
Please help
x²+3x²-4x²+5x

Answers

Answer:

I think 5x is the answer

stay safe

it’s going to be five x
5x

Please help me find this box guys I’m struggling

Answers

Answer:

(0,-9)

Step-by-step explanation:

To find the y-intercept, substitute x=0

y=(0)^2+4(0)-9

=-9

Here's a tip to help you find the y-intercept faster, it is usually the constant of the graph equation

Answer:

see explanation

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

The equation of the axis of symmetry which is also the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = x² + 4x - 9 ← is in standard form

with a = 1, b = 4 , then

x = - [tex]\frac{4}{2}[/tex] = - 2

x = - 2 is the equation of the axis of symmetry

Substitute x = - 2 into the equation for corresponding y- coordinate of vertex

y = (- 2)² + 4(- 2) - 9 = 4 - 8 - 9 = - 13

vertex = (- 2, - 13 )

To find the y- intercept let x = 0 and solve for y

y = 0² + 4(0) - 9 = 0 + 0 - 9 = - 9

y- intercept = (0, - 9)

From the standard form of the parabola

• If a > 0 then vertex is a minimum

• If a < 0 then vertex is a maximum

Here a = 1 , that is > 0

vertex (- 2, - 13 ) is a minimum

Find the distance between the two points rounding to the nearest tenth (if necessary). ( − 8 , 6 ) and ( − 6 , 0 )

Answers

Answer:

[tex]\sqrt{40\\}[/tex], [tex]2\sqrt{10}[/tex], or 6.3 (rounded).

Step-by-step explanation:

Use the distance formula, [tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2} \\x_1 is -8, y_1 is 6, x_2 is -6, y_2 is 0.[/tex]

A biased 3-coloured spinner was spun 240 times. It landed on Red n times, on Orange 3n times and on Yellow 8n times. If you spin this spinner 1000 times, how many times do you expect it to land on Red?

Answers

Answer:

83 spins

Step-by-step explanation:

Number of red spins = n

Number of orange spins = 8n

Number of yellow spins = 3n

Total number of trials = 240

Total number of spins :

(n + 8n + 3n) = 240

12n = 240

n = 240 / 12

n = 20

Number of red spins = 20

(1000/240) * n

4.1666666 * 20

= 83.333

= 83 spins

Which proportion would you use to find what number 15 is 30% of?
A: n/100 = 15/30
B: n/100 = 30/15
C: 30/100 = n/15
D: 30/100 = 15/n

Answers

Answer:

A: n/100 = 15/30 is the correct option

plzzz helppp i need to pass this classs

Answers


D. X=130 but im not sure if this is correct

Answer:

C

Step-by-step explanation:

x + 40 + 100 + x=360. (sum of angles at a point)

2x+140=360

2x=360-140

2x=220

x=220/2

x=110⁰

for 10 points Valerie set out to bicycle from TBLS to the beach, a distance of 10 miles. After going a short
while at 15 miles per hour, the bike developed a flat tire, and the trip had to be given up. The
walk back to TBLS was made at a dejected 3 miles per hour. The whole episode took 48
minutes. How many miles from TBLS did the flat occur?

Answers

Answer:

2 miles

Step-by-step explanation:

Given that :

Total distance = 10 miles

Distance = speed * time

Let distance from TBLS to flat Tyre spot = d

Time = distance / speed

Since the distance to and distance fro took a total of 48 minutes;

Hence ;

d/15 + d/3 = 48 minutes

48 minutes = 48/60 = 0.8 hours

d/15 + d/3 = 0.8

(d + 5d) / 15 = 0.8

d + 5d = 15 * 0.8

6d = 12

d = 12 / 6

d = 2 miles

Distance from TBLS to point bicycle had flat tyre is 2 miles

Now measure the lengths of the sides of polygon ABCD and tbe lengths of the sides of the translated images. Record the measurements in the table.

Answers

Answer:

3.16, 3.16, 3.16

3.16, 3.16, 3.16

1.41, 1.41, 1.41

3.16, 3.16, 3.16

Step-by-step explanation:

Answer:

Length Length  Length

3.16         3.16   3.16

3.16 3.16   3.16

1.41   1.41   1.41

3.16  3.16  3.16

Step-by-step explanation:

CANNNN SOMEONEEEEE HELPPPP MEEE OUTTTTT !!!!!

Answers

Answer:

sin X = 21/ 29

Step-by-step explanation:

Since this is a right triangle

sin X = opp side/ hypotenuse

sin X = 21/ 29

Answer:

[tex]\boxed{\sf sinX =\frac{21}{29}}[/tex]

Step-by-step explanation:

We need to find out the value of sinX using the given triangle . Here we can see that the sides of the triangle are 21 , 29 and 20.

We know that the ratio of sine is perpendicular to hypontenuse .

[tex]\sf\longrightarrow sin\theta =\dfrac{ perpendicular}{hypontenuse}[/tex]

Here we can see that the side opposite to angle X is 21 , therefore the perpendicular of the triangle is 21. And the side opposite to 90° angle is 29 . So it's the hypontenuse . On using the ratio of sine ,

[tex]\sf\longrightarrow sinX =\dfrac{ p}{h}=\dfrac{ZY}{ZX}[/tex]

Substitute the respective values ,

[tex]\sf\longrightarrow \boxed{\blue{\sf sin\ X =\dfrac{21}{29}}}[/tex]

Hence the required answer is 21/29 .

When each edge of a cube is increased by 50%, by what percent is the surface area of the cube increased?

Answers

Answer:

125 % increase

Step-by-step explanation:

assume a cube of side 10

then each side surface area = 100 * 6 = 600 units

now consider sides 15 (+50%)

each side = 225   ....  225 * 6 = 1350

(1350 - 600)/600  = 1.25 =  125 % increase

Find the surface area and the volume of the prism.
10
26
18

Answers

Volume: 1320
Surface Area: 2160

Which expression is equivalent to 2(a+2b)-a-2b
o 3a+2b
o 3a-2b
o a-2b

Answers

Answer:

a -2b

Step-by-step explanation:

2(a+2b)-a-2b

Distribute

2a+4b -a-2b

Combine like terms

a -2b

Needing a little help

Answers

Answer: u=2.5

Explanation:
9(u-2)+1.5u=8.25
- Multiply the 9 into the u and the 2 in the parantheses
9u-18+1.5u=8.25
-combine like terms. The only like terms are 9u and 1.5u.
10.5u-18=8.25
-Add the 18 to both sides.
10.5u= 26.25
- divide both sides by 10.5 and it will leave you with u=2.5.

Help me solve this problem please

Answers

Answer:

A is ur answer

Step-by-step explanation:

Can someone help me with this math homework please!

Answers

Answer:

X1 = 2 Y1 = -5

Step-by-step explanation:

math simple slope

PERE
Given: ZABC is a right angle and ZDEF is a right angle.
Prove: All right angles are congruent by showing that ZABC = ZDEF.
What are the missing reasons in the steps of the proof?
ZABC, ZDEF are
right angles
M2ABC = 90°
m2DEF = 90°
m2ABC = m_DEF
ZABC = ZDEF
Given
A
B
A:
B:
C:
Intro

Answers

Answers:

A) Definition of right anglesB) SubstitutionC) Definition of congruence

=========================================

Explanation:

A) The term "right angle" is another way of saying "90 degree angle". This is a definition. Think of a definition in a dictionary. B) The substitution property allows us to replace one thing for another, as long as the two things are equal. The transitive property works as a similar idea.C) If two angles have the same measure, then they are congruent. This is the definition of congruence (or one form of it).

In this exercise we have to use the knowledge of angles, in this way we can say that:

A) Right angles

B) Substitution

C) Congruence

So punctuating some necessary definitions we have that:

A) This alternative is a right angle, that is, an angle that has 90 degrees.

B) The substitution property allows us to replace one thing for another, as long as the two things are equal.

C) IIn this alternative, we are dealing with congruent angles, that is, angles that have the same measure, normally less than 90 degrees.

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Match each cone's measures to its corresponding volume.

Answers

Answer:

base area=16π in² height=6 in ⇒ base area= πr²

16π²=π(r)²

r=4 in

v=1/3 ×π (4)²×(6)

v=32π in²

-------------

v=1/3 π(12/2)²×5

v=1/3π(31)×5=

v=60π in³

-------------

v=1/3 π×(25×4)=

v=100π/3 in³

OAmalOHopeO

What type of graph can show positive correlation, negative correlation, or no correlation?

Answers

Answer:

A scatter plot can show a positive relationship, a negative relationship, or no relationship. If the points on the scatter plot seem to form a line that slants up from left to right, there is a positive relationship or positive correlation between the variables.

The speed of a toy car is 20 m/s. The time taken for a trip is 200seconds. Find the
distance covered in meter

Answers

Distance = time/ speed

Distance = 200 seconds / 20 m/s

Distance = 10 meters

Answer:

Distance:

[tex]{ \tt{distance = speed \times time}} \\ { \tt{ = 20 \times 200}} \\ { \tt{ = 4000 \: metres}}[/tex]

53. A right triangle has a hypotenuse measuring 15 inches and one leg measuring 9 inches What is the length, in inches, of the other leg of the triangle?

A. 3
B.6
C. 10
D. 12 ​

Answers

Answer:

D

Step-by-step explanation:

Pythagorean

[tex]x^{2} + 9^{2} = 15^{2}[/tex] (x>0)

=> [tex]x=\sqrt{15^{2}-9^{2} }[/tex] [tex]=12[/tex]

Enter the equation of the line in slope-intercept form.
Slope is 4, and (5,2) is on the line.
The equation of the line is y =

Answers

Answer:

y = 4x -18

Step-by-step explanation:

y-2 = 4(x-5)

y = 4x -20+2

y = 4x -18

Answer:

y = 4x-18

Step-by-step explanation:

Slope intercept form is y = mx+b where m is the slope and b is the y intercept

y = 4x+b

Substitute the point in the equation and solve for b

2 = 4(5)+b

2 = 20+b

2-20 = b

-18 =b

y = 4x-18

On a unit circle, the terminal point of 0 is (1/2, square root of 3/2) what is 0

Answers

Answer: pi/6

explanation: took test

The value of θ on a unit circle where the terminal point of θ is (1/2,square root 3/2), is 60°.

Terminal Point

The measure of the angle in degrees or radians over the circle, at the endpoint on the coordinate plane is known as terminal point

How to solve this problem?Given On a unit circle, the terminal point of θ is [tex](\frac{1}{2},\frac{\sqrt{3} }{2} )[/tex]According to image below the value of θ at terminal point (1/2,square root 3/2) is 60 degrees.

Thus the value of θ at terminal point on a unit circle (1/2,square root 3/2) is 60 degrees.

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An automobile manufacturing plant produced vehicles today: were sedans, were trucks, and were motorcycles. Plant managers are going to select two of these vehicles for a thorough inspection. The first vehicle will be selected at random, and then the second vehicle will be selected at random from the remaining vehicles. What is the probability that two motorcycles will be selected

Answers

Answer:

120 / 561

Step-by-step explanation:

An automobile manufacturing plant produced 34 vehicles today: 16 were motorcycles, 9 were trucks, and 9 were vans. Plant managers are going to select two of these vehicles for a thorough inspection. The first vehicle will be selected at random, and then the second vehicle will be selected at random from the remaining vehicles.What is the probability that two motorcycles will be selected

16/34 X 15 X 33

PLS HELP!!! The problem is in the photo attached

Answers

Answer:

The answer is C!

Step-by-step explanation:

Answer:

D

NOTE: the answer "C" is NOT correct... see the image the green is "C" the purple is "D"

Step-by-step explanation:

Kasey has three pieces of wood that measure 9 inches, 12 inches, and 21 inches. Can she make a right triangle
with the three pieces of wood (without cutting or overlapping)?

Answers

Answer: No

Step-by-step explanation:

Add 2 sides together. If the sum of greater than the length of the 3rd side for all 3 options it can form a right triangle if it doesn’t than it can’t:

9 + 12 = 21 which is not greater than the 3rd side length of 21 so this cannot form a right triangle.

The answer would be (no)

What is the measure of an interior angle in a regular octagon

Answers

Answer:

I think the sum of the measures of the interior angles of an octagon =(8−2)180° . The sum of the measures of the interior angles of an octagon is 1080° .

I hope this help!:)

Answer:

[tex]135^{\circ}[/tex]

Step-by-step explanation:

The sum of the interior angles of a polygon with [tex]n[/tex] sides is equal to [tex](n-2)180[/tex]. Since an octagon has 8 sides, the sum of its interior angles is equal to:

[tex](8-2)180=6\cdot 180=1,080^{\circ}[/tex]

By definition, a regular polygon is a polygon with equal sides and angles. An octagon has 8 sides and 8 angles. Therefore, a each interior angle of a regular octagon must be equal to:

[tex]\frac{1,080}{8}=\boxed{135^{\circ}}[/tex]

The cars of a circular Ferris wheel at an amusement park are equally spaced about the wheel's circumference. They are numbered consecutively beginning with 1. The cars numbered 14 and 30 lie on opposite ends of a diameter. How many cars are on the Ferris wheel?

Answers

Answer:

32 cars

Step-by-step explanation:

we know that 14 and 30 lie on opposite sides of the ferris wheel, so we need to calculate how many cars are inbetween car number 14 and carn number 30. since each car is numbered starting from 1, we know that the cars do not skip any numbers. after counting, we know that there are 16 cars inbetween car number 14 and car number 30. since there are 2 sides of a circle we have to double our number by 2. so 16×2 is 32

Math step-by-step:

30-14=16

16×2=32

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