There are 52 legs and they all belong to hamsters. so 13 Hamsters are there.
Are hamsters a good pet?Hamsters are rodents from the subfamily Cricetinae, which includes 19 species divided into seven genera. They have established themselves as popular tiny pets. The golden or Syrian hamster is the most well-known species of hamster and is the variety most usually kept as a pet.Hamsters are terrific pets for many people. They don't take much attention, receive adequate exercise when running on their wheel, and are attractive, cuddly, and enjoyable to hold. Some children may find them to be a good first pet. Hamsters, however, do not come with care instructions.Total No. of legs = 52
Each hamsters have 4 legs.
No. of Hamster = 52/4 =13 Hamsters
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Please help very confused
Answer:
x = -8
QR = 6
PR = 9
Step-by-step explanation:
Alrighty, this one has a lot of steps. We have to think about this logically.
The length of PR is x + 17, and the length of PQ is 3, and the length of QR is 2x + 22.
The length of PR could also be written as the length of PQ + QR, which gives us the formula PR = PQ + QR. This allows us to put all our information into one formula to solve for x.
PR = PQ + QR
x + 17 = 3 + 2x + 22
17 - 3 - 22 = 2x - x
-8 = x
so x = -8
Now we can use that x and plug it into the other two formulas:
QR = 2x + 22
QR = 2(-8) + 22
QR = -16 + 22
QR = 6
And now we plug x into PR:
PR = x + 17
PR = -8 + 17
PR = 9
Alternatively, we can use our other formula, PR = 3 + QR, which gets us the same answer:
PR = 3 + QR
PR = 3 + 6
PR = 9
what is 8 10/27-1 2/9?
Answer:
193/27
Step-by-step explanation:
8 10/27 - 1 2/9
226/27 - 11/9
= 193/27
Four people invested in a restaurant. One person invested $100,000. Two others invested in
the ratio x:2x, and the fourth person invested an amount equal to the other three investors
combined. The total investment was $ 1,100,000.
Part A
Write an expression for the amount invested by the fourth person.
Answer:
x=$150,000
4th person invested $550,000
Step-by-step explanation:
100,000+x+2x+(100,000+x+2x)=1,100,000
200,000+6x=1,100,000
6x=900,000
x=150,000
The investment of the fourth person is 100,000+3x
=100,000+450,000
=$550,000
The amount invested by the fourth person was $550,000.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
Given that a person invested $100,000. Two others invested in the ratio x:2x and the fourth person invested an amount equal to the other three investors combined.
We have to determine an expression for the amount invested by the fourth person.
The total investment = $1,100,000.
So an expression for the amount invested by all people as:
⇒ 100,000 + x + 2x + (100,000+x+2x) = 1,100,000
⇒ 200,000 + 6x = 1,100,000
⇒ 6x = 900,000
⇒ x = 150,000
So the investment of the fourth person as
⇒ 100,000 + 3x
⇒ 100,000 + 450,000
⇒ $550,000
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The distance, y, in miles, traveled by a car for a certain amount of time, x, in hours, is shown in the graph below:
A graph titled Motion of a Car is shown with Time in hours labeled on x-axis and Distance from Starting Point in miles labeled on y-axis. The scale on the x-axis shows the numbers 1, 2, 3, 4, 5, 6, and the scale on the y-axis shows the numbers 0, 12, 24, 36, 48, 60, 72. There are three straight lines in the graph. The first line joins ordered pair 0, 0 with 1, 12. The second straight line joins 1,12 and 2,12 and the third straight line joins ordered pair 2,12 with the ordered pair 5,36.
Which of the following best describes the motion of the car shown?
It travels for 1 hour, then stops for 1 hour, and finally travels again for 3 hours.
It travels for 2 hours, then stops for 1 hour, and finally travels again for 2 hours.
It travels for 1 hour, then stops for 2 hours, and finally travels again for 5 hours.
It travels for 2 hours, then stops for 3 hours, and finally travels again for 5 hours.
Answer:
It travels for 1 h, then stops for 1 h, and finally travels again for 3 h.
Step-by-step explanation:
The sloped parts of the graph are where the car is moving.
For example, in the first hour the distance travelled changes from zero to 12 mi.
The horizontal part of the graph is where the car is stopped.
For example, between hours 1 and 2, the distance travelled stays the same at 12 mi.
The car travels for 1 h, then stops for 1 h, and finally travels again for 3 h.
PLEASE HELP ME WITH THIS AHHHH 15-(21)
Answer:
-6
Step-by-step explanation:
Answer:
Is it 15 Minus 21 (Or) 15 x -21
Step-by-step explanation:
I need help on number 2.
Greetings!
This is how your double number line should look:
(lbs) 0 1 2 3 4 5
↓-----↓-----↓-----↓-----↓-----↓
0 3.5 7 10.5 14 17.5 (dollars)
Hope this helps!
Spiral Review (Reviews 2.6.1, 2.G.3; 3.0A.9)
3. What property describes the number
sentence?
4.
6 +0=6
Answer:
The Identity Property
Step-by-step explanation:
the Identity Property means the number's Identity stays the same; usually either itself times 1, or plus zero
14/49 in lowest terms ?
Answer: 2/7
Step-by-step explanation: To simplify the fraction 14/49, we need to find the greatest common factor of 49 and 7 and we can divide our fraction by it.
In this case, the greatest common factor of 14 and 49 is 7 so we can divide both our numerator and denominator by 7.
Therefore, 14/49 as a simplified fraction is 2/7.
Image provided.
Viola and Paige stand next to each other and kick soccer balls in the air. The
path of Viola's ball is described by the equation y=-3x2 + 6x + 3. The path of
Paige's ball is shown by the graph.
In each function, x is the horizontal distance the ball travels in meters, and y
represents the height.
Whose soccer ball reaches a greater height?
O
A. Both soccer balls reach the same height
O
B. Viola's soccer ball
O
C. Paige's soccer ball
Answer:
C. Paige's soccer ball.
Step-by-step explanation:
When you graph y = 3x^2 + 6x + 3, you can see that the max of the parabola is around 6. This is lower compared to Paige's soccer ball's max height shown in the image.
Answer:
C. Paige's soccer ballStep-by-step explanation:
To solve this problem, we just need to graph Viola's function to know the altitude she reached, and then compare it with Paige's altitude.
So, we know that Viola's function is [tex]y=-3x^{2}+6x+3[/tex], as an extra solution, we can calculate the vertex of this quadratic function, that will give us Viola's max altitude.
[tex]V(v_{x};v_{y})\\V(\frac{-b}{2a};f(v_{x} ))[/tex]
Where b and a are from the general quadratic function: [tex]y=ax^{2} +bx+c[/tex].
So, in this case, a = -3; b = 6. Replacing this values, we find the vertex:
[tex]V(\frac{-b}{2a};f(v_{x} ))[/tex]
[tex]v_{x}= \frac{-b}{2a}=\frac{-6}{2(-3)}=1[/tex]
Then, we use the function to calculate the vertical coordinate of the vertex:
[tex]v_{y}=f(1)=-3(1)^{2}+6(1)+3=-3+6+3=6[/tex]
Therefore, the max altitude reached by Viola is 6 meters.
Now, from the graph, we observe that Paige's max altitude is around 7.5 meters.
Therefore, Paige reached the higher height. The answer is C.
I need to find the distance between pairs of integers like 8 and 32; 15 and 64; and -27 and 18. How do I do this?
Answer:
i believe you have to divide 8 by each number to get the distance between the pairs of integers.
Step-by-step explanation:
Two angles are complementary. If one angle is 4 times larger than other one then what is the measure of the smaller
angle?
Answer:
The smaller angle is 18 degrees
The larger angle is 72 degrees
Step-by-step explanation:
x = smaller angle
y = larger angle
y = 4x ---> one angle is 4 times larger than other one.
y + x = 90 ----> the sum of complementary angles is 90 degrees
4x + x = 90 ----> plug in 4x for the larger angle (y) and then solve
5x = 90
x = 18 ----> the smaller angle is 18 degrees
y = 90 - 18
y = 72 ----> the larger angle is 72 degrees
The smaller angle is 18.
What is the complementary angle?The complementary angle is the angle that adds up to 90 degrees always, so when we say that two angles are complementary it means that the sum of the angle or the combined angle is equal to ninety degrees.
The solution to the problemThe larger angle is 4 times the smaller angle so let the smaller angle be 'x' and the larger angle be 4x.
Hence the sum of both the angle is 90 degrees from the definition of complementary
so 4x+x=90, 5x = 90
dividing the equation by 5
x = 18
Hence the smaller angle is 18 degrees
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Simplify the expression.
4[(10-4) ²÷4]
a. 6
b. 12
c. 9
d. 36
Answer:
Step-by-step explanation:
D 36 is the answer
Based only on the given information, it is guaranteed that AC = BC.
Answer:
What's the question?
Step-by-step explanation:
Answer: It’s true
Step-by-step explanation:
If you were asking if it’s a true and false then the answer is true.
Draw a diagram that shows 0.27+0.23= 1/2
Answer:
The required diagram is shown below:
Step-by-step explanation:
Consider the provided expression.
0.27+0.23= 1/2
We can draw the model of the provided expression.
Step 1: Shade 27 boxes out of 100 boxes,
This will show 0.27
Step 2: Shade 23 more boxes with another color.
This will show 0.23.
The total shaded boxes are 27+23=50.
Which represents 0.27 + 0.23 = 1/2 (1/2=0.50)
The required diagram is shown below:
To visually show the equation [tex]\(0.27 + 0.23 = \frac{1}{2}\)[/tex], see the diagram attached.
What is the diagramTo represent the equation [tex]\(0.27 + 0.23 = \frac{1}{2}\)[/tex], follow the steps:
1. Draw a horizontal line to represent the number line.
2. Label the line with points 0, 0.2, 0.4, 0.6, 0.8, and 1.
3. Mark a point at 0.27, slightly past the midpoint between 0.2 and 0.4.
4. Mark another point at 0.23, slightly before the midpoint of 0.2 and 0.4.
5. Draw a vertical line connecting these two points to represent their sum.
6. Label the top of this line with "0.27 + 0.23."
7. Draw a horizontal line segment from the vertical line's top point to the middle of the line, intersecting at the value 0.5.
8. Label this intersection point as [tex]"\(\frac{1}{2}\)"[/tex] to show that [tex]\(0.27 + 0.23\)[/tex]indeed equals[tex]\(\frac{1}{2}\).[/tex]
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Which shows the best path to find the number of centimeters in 1 yard?
yards - inches → centimeters
yards feet → centimeters
centimeters feet inches
centimeters feet HELP MEEEE
Step-by-step explanation:
1 yard equal to 91.44 centimeters (cm)
find the area of a circle with a circumference of 37.68 units
[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\ \cline{1-1} C=37.68 \end{cases}\implies 37.68=2\pi r\implies \cfrac{37.68}{2\pi }=r \\\\\\ \stackrel{assuming~\pi =3.14}{\cfrac{37.68}{2(3.14)}}=r\implies \boxed{6=r} \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad A=\pi (6)^2\implies A=36\pi \implies A\approx 113.10[/tex]
Determine the next term in the sequence: 4, 8, 12, ...
Answer:
Step-by-step explanation:
Are you asking for a pattern? The answer is 16
4+4=8
8+4=12
12+4=16
The given sequence 4, 8, 12, ... is an arithmetic expression thus the next term will be 16.
What is Arithmetic progression?The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).
The arithmetic progression has broader use in mathematics for example sum of natural numbers.
As per the given sequence,
4,8,12,..
Now, 8 - 4 = 4
12 - 8 = 4
Since the common difference is the same thus it will be an arithmetic expression.
The nth term of AP is given as,
a(n) = a + (n - 1)d
Here, a is the first term, and d is a common difference.
The fourth term of the given sequence is,
a(4) = 4 + (4 - 1)4
⇒ 4 + 12 = 16
Hence "The given sequence 4, 8, 12, ... is an arithmetic expression thus the next term will be 16".
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Help me please , I don’t seem to get the right answer when I do the check up point
a certain fish can swim 6 1/2 times faster than a person. if a person can swim 5 4/7 miles per hour, how fast can the fish swim?
Answer: 36 3/14 miles per hour
Step-by-step explanation:
multiply the speed of a human (5 4/7) by 6 1/2 or 6.5 and you get your answer
To find the fish's speed, convert the mixed numbers 5 4/7 and 6 1/2 to improper fractions and multiply them. The result, 507/14, converts back to a mixed number as approximately 36.21 miles per hour.
Explanation:To solve this question, we need to multiply the person's swimming speed with the mentioned relative speed of the fish. A person can swim at a speed of 5 4/7 miles per hour, and since the fish can swim 6 1/2 times faster, we multiply 5 4/7 by 6 1/2.
The first step is to convert these mixed numbers to improper fractions. 5 4/7 becomes 39/7 and 6 1/2 becomes 13/2.
Multiplication of fractions involves multiplying the numerators together to get the new numerator and the denominators together to get the new denominator. So the multiplication (39/7)*(13/2) leads to a result of 507/14.
This can be now converted back to a mixed number, giving us an approximate answer of 36.21. Therefore, the fish swims at a speed of approximately 36.21 miles per hour.
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Convert dotted decimal IP address into binary. 172.61.35.186
Answer:
10101100.00111101.00100011.10111010
Step-by-step explanation:
The dotted decimal IP address 172.61.35.186 converts to binary as 10101100.00111101.00100011.10111010. Each segment of the IP address is converted separately and reassembled with dots in between the binary segments.
Explanation:To convert a dotted decimal IP address to binary, it is important to understand that each segment of the IP address (divided by dots) is converted separately. Let's take for example the IP address 172.61.35.186.
The first segment is 172. Converted to binary, this becomes 10101100. The second segment is 61. In binary, it is 00111101. The third segment being, 35, turns into 00100011 in binary. Lastly, the fourth segment, 186, is transmuted into 10111010 in binary.
So, the IP address 172.61.35.186, when converted into binary, will be: 10101100.00111101.00100011.10111010.
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Beau earns $26.50 per hour for regular hours worked and double
time for any overtime (over 40) he works. He is paid weekly. If he
worked 56.5 hours last week, how much can Beau expect that his
gross pay will be?
Answer:
$1694.5
Step-by-step explanation:
Hourly rate for Beau = $26.50
Weekly hours = 40 Hours
Basic earning = 26.50 × 40 = $820
Total number of hours Beau worked in week = 56.5 Hours
Overtime = 56.5 - 40 = 16.5 Hours
Overtime rate = 2 × Hourly rate = 2 × 26.50 = $53
Overtime earning = 53×16.5 = $874.5
Total earning for the week = 820 + 874.5 = $1694.5
Find the exact radius of a circle with circumference 28pi meters.
Answer: The radius is 14 units.
Step-by-step explanation:
Start by finding the diameter, the formula for circumference is πd, So set up an equality:
28π=c
28π=πd
Divide both sides by π:
28π/π = 28πd/π
Cross out π:
28 = d
diameters twices largest radius, divide your diameter by 2 to get radius.
D/2 = r = 28/2 = 14
Therefore, your radius is 14 units.
After a baseball is hit, the height h (in feet) of the ball above the ground t seconds after it is hit can be approximated by the equation h = -16t² + 64t + 3. Determine how long it will take for the ball to hit the ground. Round your answer to the nearest hundredth... Please help .. It is due tomorrow
Answer:
The ball will take 4.05 seconds to hit the ground.
Step-by-step explanation:
we have
[tex]h=-16t^{2}+64t+3[/tex]
This is a quadratic equation (vertical parabola) open down
The vertex is a maximum
we know that
The ball hit the ground when h=0
Solve the quadratic equation
For h=0
[tex]-16t^{2}+64t+3=0[/tex]
The formula to solve a quadratic equation of the form
[tex]at^{2} +bt+c=0[/tex] is equal to
[tex]t=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]
in this problem we have
[tex]-16t^{2}+64t+3=0[/tex]
so
[tex]a=-16\\b=64\\c=3[/tex]
substitute in the formula
[tex]t=\frac{-64(+/-)\sqrt{64^{2}-4(-16)(3)}} {2(-16)}[/tex]
[tex]t=\frac{-64(+/-)\sqrt{4,288}} {-32}[/tex]
[tex]t=\frac{64(-)\sqrt{4,288}} {32}=-0.05\ sec[/tex] ---> the time cannot be a negative number
[tex]t=\frac{64(+)\sqrt{4,288}} {32}=4.05\ sec[/tex]
therefore
The ball will take 4.05 seconds to hit the ground.
16. Which number has the greatest value?
A 9.382
B 9.47
© 9.09
D
9.7
ASAP plssss
Answer:
D. 9.7
Step-by-step explanation:
9.382
9.470
9.090
9.700
Answer:
d. 9.7
Step-by-step explanation:
if you add 0s to each of the answers, itll make sense. For instance:
A. 9.382
B. 9.470
C. 9.090
D. 9.700
A number of b divided by -3 is greater than or equal to 6
Answer: b ≤ -18
Step-by-step explanation:
Isolate the variable by multiplying both sides by -3. Remember that when you multiply or divide by a negativem the symbol flips.
[tex]\dfrac{b}{-3}\geq6\\\\\\\dfrac{b}{-3}(-3)\geq6(-3)\\\\\\\large\boxed{b\leq-18}[/tex]
The length of a rectangle is represented by (6x - 2), and the width is represented by (x - 1). Which expression best represents
the perimeter of the rectangle?
Answer:
2(6x - 2 + x - 1) = 2(7x - 3) = 14x - 6
A phone company uses the equation y = 0.15x + 10 to find y, the monthly charge for a customer sending x text
messages. How many text messages are sent if the monthly charge is $77.50?
Hey!
---------------------------------------
Solution:
77.50 = 0.15x + 10
77.50 - 10 + 0.15x + 10 - 10
67.50 = 0.15x
0.15x = 67.50
0.15x/0.15 = 67.50/0.015
x = 450
---------------------------------------
Check:
77.50 = 0.15(450) + 10
77.50 = 67.50 + 10
77.50 = 77.50
---------------------------------------
Answer:
450 text messages can be sent when the monthly charge is $77.50!
---------------------------------------
Hope This Helped! Good Luck!
least to greatest 2/3, 3/5, 13/15, 2/5
Answer: 2/5 3/5 2/3 13/15
Step-by-step explanation:
2/3, 3/5, 13/15, 2/5
The least common denominator is: 15.
Rewriting as equivalent fractions with the LCD:
10/15, 9/15, 13/15, 6/15
Ordering these fractions by the numerator in order from least to greatest:
6/15 < 9/15 < 10/15 < 13/15
Therefore, your input in order from least to greatest is:
2/5 < 3/5 < 2/3 < 13/15
The first term of an AP is -1/2 and it's common difference is 4. Find the 9th term
Answer:
[tex]\frac{63}{2}[/tex]
Step-by-step explanation:
The n th term of an arithmetic progression is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - [tex]\frac{1}{2}[/tex] and d = 4, thus
[tex]a_{9}[/tex] = - [tex]\frac{1}{2}[/tex] + (8 × 4) = - [tex]\frac{1}{2}[/tex] + 32 = [tex]\frac{63}{2}[/tex]
A rectangle has a height of 3 and a width of 4b^4+2b-6.
Express the area of the entire rectangle.
Answer:12b^4 + 6b - 18
Step-by-step explanation:
Area of a rectangle is width x height
(4b^4 + 2b - 6) x 3
Multiply the coefficients by 3
So you get
12b^4 + 6b - 18