There are 486 hamsters at a private showing of a new documentary about humans. If there are 12 seats in each row, about how many rows will the hamsters fill? Choose the best estimate.
A. 20
B.4
C.40
D.60
Answer:
C, 40
Step-by-step explanation:
If there are 12 seats in each row, and 486 hamsters total, then we can safely assume one hamster takes up one seat.
To find out how many rows they can take, we need to divide the number of hamsters by the number of seats to get 486 / 12 approximately equals 40.
Answer:
C.
Step-by-step explanation:
Take the first two numbers of 486.
How many times does 12 fit into 48?
4 times.
Since all of the estimations do not have any form of individual single digits (as they do normally), we would dismiss the 6 and use its place just as a '0.'
40.
Hope this helped!
The table shows the proportional relationship between the number of computers
a company sold, x, and the profit that the company made, y. The profit, y, can be
written in terms of x, the number of computers sold: y = What expression
completes the equation?
Profit on Sales
Number of Computers Sold
Profit (dollars)
3
450
7
1050
11
1650
15
2250
Answer:
y = 150x
Step-by-step explanation:
There is a proportional relationship between number of computers sold (x) and profit generated (y)
y ∝ x
y = kx
Here, k = proportionality constant
From the table given,
At y = 450 and x = 3,
450 = k(3)
k = 150
Therefore, expression that represents the proportional relationship will be,
y = 150x
In a class of 35 students, 19 take history and
12 take economics. If 5 take both subjects,
how many take neither?
Answer: 9
Step-by-step explanation:
If 19 students take history, 12 take economics and 5 take both:
19-5 = 14 students that take only history
12-5 = 7 students that take only economics
Therefore total number of students who either history, economics or history and economics: 14 + 7 + 5 = 26
Therefore students who take neither: 35 - 26 = 9
students who take neither: 35 - 26 = 9.
What is Subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
here, we have,
In a class of 35 students, 19 take history and
12 take economics. If 5 take both subjects,
now,
If 19 students take history, 12 take economics and 5 take both:
19-5 = 14 students that take only history
12-5 = 7 students that take only economics
Therefore total number of students who either history, economics or history and economics: 14 + 7 + 5 = 26
Therefore students who take neither: 35 - 26 = 9
To learn more on subtraction click:
brainly.com/question/2346316
#SPJ2
The product of -2 and a number is at most 10.
Find the possible numbers.
A. n ≥ -5
B. n < -5
C. n ≤ -5
D. n > -5
Answer:
a because 5 or less than 5 equals almost or less than 10
Length of TV is 12π in. The diameter is?
Answer:
Diameter = 54 units
Step-by-step explanation:
Given:
Angle θ = 80'
Length of arc TV = 12π
Find:
Diameter
Computation:
Length of arc = [θ/360][2πr]
So,
12π = [80/360][2πr]
54 = 2r
r = 27
Diameter = 2r
So,
Diameter = 54 units
In AABC, what is AB to the nearest tenth?
Answer:
AB = 9.5 units
Step-by-step explanation:
Here, we want to find the measure of AB
To do this, we are going to make use of the sine rule
for the sine rule, the ratio of the measure of a side and the sine of the angle that faces the side is a constant value for a triangle
Thus, we have it that; in a triangle ABC
a/sin A = b/sin B = c/sin C
using the triangle given;
we need the measure of the angle at C
The sum of angles in a triangle is 180
thus;
C + 93 + 48 = 180
C = 180 - 93 -48
C = 39 degrees
Now, to get the value of AB;
AB/sin 39 = 15/sin 93
AB = (15 * sin 39)/sin 93
AB = 9.5 units
Find the Surface Area of
8 m
5 m
3 m
Answer:
S=(8*5*3)m3
=120mcube
HELPP MEE ASAPPP PLSSS What is the slope of the line below? If necessary, enter your answer as a
fraction in lowest terms, using the slash (/) as the fraction bar. Do not enter
your answer as a decimal number or an equation.
(3,7) (-2,-3) MUST BE A FRACTION
Answer:
2/1
Step-by-step explanation:
Use the equation m=[tex]\frac{y2-y1}{x2-x1}[/tex]
What ways to get 109
110 - 1 = 109
1 x 109 = 109
Answer:
[tex]110 - 1 = 109 \\ 200 - 91 = 109 \\ thank \: you[/tex]
Which table of vales can be defined by the function, y=6x-2? Please helpppp. This is hard.
Answer:
The Answer is D.
Step-by-step explanation:
You just need to plug in x for the first few, if it doesn't match go to the next option.
I tried this and figured out it's d in less than a minute.
Can SOMEBODYYY please do the maths!!! PLeassssssssssssseeeeeeee
Answer:
see belowStep-by-step explanation:
Question-6:we are given a equation
[tex] \sf \displaystyle \: \log_{4}( - x) + \log_{4}( 6 - x) = 2[/tex]
to solve so
recall logarithm multiplication law:
[tex] \sf \displaystyle \: \log_{4}( - x \times (6 - x)) = 2[/tex]
simplify multiplication:
[tex] \sf \displaystyle \: \log_{4}( - 6 x + {x}^{2} ) = 2[/tex]
remember [tex]\displaystyle \log_{4}(4^2)=2[/tex]
so
[tex] \sf \displaystyle \: \log_{4}( - 6 x + {x}^{2} ) = \log_{4}( {4}^{2} ) [/tex]
cancel out [tex]\log_4[/tex] from both sides:
[tex] \sf \displaystyle \: - 6 x + {x}^{2} = {4}^{2} [/tex]
simplify squares:
[tex] \sf \displaystyle \: - 6 x + {x}^{2} = 16[/tex]
move left hand side expression to right hand side and change its sign:
since we are moving left hand side expression to right hand side there'll be only 0 left in the left hand side
[tex] \sf \displaystyle \: - 6 x + {x}^{2} - 16 = 0[/tex]
rewrite it to standard form i.e ax²+bx+c=0
[tex] \sf \displaystyle \: {x}^{2} - 6x - 16 = 0[/tex]
rewrite -6x as 2x-8x:
[tex] \sf \displaystyle \: {x}^{2} + 2x - 8x - 16 = 0[/tex]
factor out x and 8:
[tex] \sf \displaystyle \: x {(x}^{} + 2) - 8(x + 2) = 0[/tex]
group:
[tex] \sf \displaystyle \: (x - 8){(x}^{} + 2) = 0[/tex]
[tex] \displaystyle \: x = 8 \\ x = - 2 [/tex]
[tex] \therefore \: x = - 2[/tex]
Question-7:move left hand side log to right hand side:
[tex] \displaystyle \: \log(x ) + \log(x - 21) = 2 [/tex]
use mutilation logarithm rule;
[tex] \displaystyle \: \log( {x}^{2} - 21x) = 2 [/tex]
[tex]\log(10^2)=2[/tex] so
[tex] \displaystyle \: \log( {x}^{2} - 21x) = \log({10}^{2} )[/tex]
cancel out log from both sides:
[tex] \displaystyle \: {x}^{2} - 21x = 100[/tex]
make it standard form:
[tex] \displaystyle \: {x}^{2} - 21x - 100= 0[/tex]
factor:
[tex] \displaystyle \: {(x} + 4)(x - 25)= 0[/tex]
so
[tex] \displaystyle \: x = 25[/tex]
Please Help-
K + ⅓ = 5 ⅛ | K = ?
Show Your Reasoning.
Answer:
[tex]4\frac{19}{24}[/tex]
Step-by-step explanation:
I hope I did this right:
So first thing to do is set up the equation.
[tex]K + \frac{1}{3} = 5\frac{1}{8}[/tex]
Next thing to to is subtract 1/3 from both sides to get:
[tex]K = 5\frac{1}{8} - \frac{1}{3}[/tex]
Next up, you will multiply each of the fractions by the opposing value
(multiply 1/8 by 3 and 1/3 by 8)
[tex]K = 5\frac{3}{24}[/tex][tex]-\frac{8}{24}[/tex]
Alright almost done, by multiplying 24 by 5 you get 120, that will go in the numerator to make the math a lot easier.
K = [tex]\frac{123}{24}[/tex][tex]-\frac{8}{24}[/tex]
Finally, you subtract 123 over 24 by 8 over 24.
K = [tex]\frac{123}{24} - \frac{8}{24} = \frac{115}{24}[/tex]
Then just simplfy the 115/24 to get
[tex]4\frac{19}{24}[/tex]
find x. give your answer in the simplest form
Answer:
16
Step-by-step explanation:
sin = adjacent ÷ hypotenuse.
sin 45 = x ÷ 23
0.71 = x ÷ 23
0.71 × 23 = x
x = 16.26
~ 16.
Answer:
Step-by-step explanation:
using the Pythagorean theorem a² + b² = c²
in this triangle a = x and b = x so x² + x² = c² c is the hypotenuse
x² + x² = c²
2x² = c² since c = 23 solve for x
x² = c² / 2
x = ± √(c² / 2)
x = ± √(23² /2)
= ± √(529 /2)
= ± √(264.5)
= 16.26 x can't be negative
That is correct but it doesn't answer the question
x = ??? / √xx
sin 45 = √2 / 2 which equals x / 23
√2 / 2 = x / 23
x = 23 (√2 / 2)
= 23 (√2) / 2 divide the √2 numerator and demenator
= 23 (√2)/√2 / (2 / √2)
= 23 / (2 / √2)
Sorry I have no idea what goes in the green box
Please help Z and Y
Answer:
10=Z and 10=Y
Step-by-step explanation:
since it is a 45, 45, 90 triangle
both Z and Y will be the same length
the hypotenuse has a length of [tex]x\sqrt{2}[/tex] with x being the length of the legs
Since the length of this triangle's hypotenuse is [tex]10\sqrt{2}[/tex] the side length would be 10
Hope that helps :)
Find the volume of the cone.
Either enter an exact answer in terms of 7 or use 3.14 for .
6
5
units
Answer:
[tex]V=471\ \text{units}^3[/tex]
Step-by-step explanation:
Given that,
Radius of the cone, r = 5 units
Height of the cone, h = 6 units
We need to find the volume of the cone. The formula for the volume of the cone is given by :
[tex]V=\pi r^2 h[/tex]
Substitute all the values,
[tex]V=3.14\times 5^2\times 6\\\\V=471\ \text{units}^3[/tex]
So, the volume of the cone is [tex]471\ \text{units}^3[/tex].
Find the output, yyy, when the input, xxx, is 303030. y = 14-0.5xy=14−0.5xy, equals, 14, minus, 0, point, 5, x y=y=y, equals
Answer:
Output, y = -1 when input, x = 30
Step-by-step explanation:
Given equation:
y = 14 - 0.5x
Where,
y = output
x = input
Find the output, y, when the input, x, is 30
y = 14 - 0.5x
y = 14 - 0.5(30)
y = 14 - 15
y = -1
Therefore,
Output, y = -1 when input, x = 30
Answer:
-1
Step-by-step explanation:
KHAN ACADEMY :)
I CAN FIND AN EXPLANATION IF NEEDED
What is the slope of the line that passes trough the points (-6,3) and (4,8)
Answer:
Step-by-step explanation:
Explain how to use the standard normal table to find the probability associated with the shaded area under the curve
Answer:
to find the area to the right positive z-score begin by reading off the area in the standard mormal distribution table, since the total area under the bell curve is 1 we subtract the area from the table from 1. for example the area to the left of z=1.02 is given in the table as 0.846
Step-by-step explanation:
right answer
You won the lottery!! You decide to first buy the expensive car you've always loved. There are lots of options. In addition to deciding whether you want an automatic or manual transmission, you have to choose an exterior color from 15 options, an interior color from 12 options, seats that have either a heating or massage option, 4 different types of audio systems, and 5 luxury packages with special extras for your car. If you pick one in each category, how many different car packages are there?
The volume is 120.9 in. What is the missing dimension (X)
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: x = 2.5
Explanation:
5.2 * 9.3 * x = 120.9
120.9 / 5.2 = 9.3 * x
23.25 = 9.3 * x
23.25 / 9.3 = x
x = 2.5
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Find the area for this problem
Answer:
63 for the whole figure, for the different shaded regions it goes as follows, 17.5 for the white area and 45.5 for the grey area
Step-by-step explanation:
A bag contains 25 kg of flour. A baker used 80% of it to bake bread. How much flour,in kg,remained ?
Answer:
5 kg flour remains
Step-by-step explanation:
80% of the original 25 kg comes to 0.80(25 kg), or 20 kg. We convert 80% to its decimal equivalent, 0.80, to get this result
The amount of flour remaing is then (1.00 - 0.80)(25 kg), or 0.20(25 kg) = 5 kg.
5 kg flour remains.
Answer:
25 - 20 = 5 kg
Steps:
25×80/100 = 25×8/10 = 200/10 = 20 kg
25 - 20 = 5 kg
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Zach wants to buy a suitcase. The sale price is $32. What was the original price?
Submit
Answer: $6.40
Step-by-step explanation: im just way too big brained
Answer:
$40
Step-by-step explanation:
32/(1-.2)=32/.80=40
Math help pls all 4 questions please
Answer:
a)32500
b)0.00604
c)2.4×10^6
d)1.47x10-³
Step-by-step explanation:
plz can i get brainliest:)
In ABC, mC = 30 and a = 8. If the area of the triangle is 12, what is the length of side b?
show work pls
9514 1404 393
Answer:
b = 6
Step-by-step explanation:
The area is given by the formula ...
Area = 1/2·ab·sin(C)
12 = (1/2)(8)b·(1/2) . . . . . fill in the given values
12 = 2b . . . . . . . . . . . simplify
6 = b . . . . . . . . . . . divide by 2
The length of side b is 6 units.
For every 1 litre of water used to make a medicine, 300 ml of sucrose and 750ml of saline solution are used. Express the amount of water, sucrose and saline solution needed as a ratio in its simplest form.
Answer:
20ml : 6ml: 15ml
Step-by-step explanation:
1000 milliters is 1 liter, so we would have to convert it to the ml so that it will all be in proportion. To simplify a ratio, divide by a number they can all be divided by. In this case, it was 10 first, so it made it 100: 30: 75. Then, to simplify it more, they can all be divided by 5, which is the lowest it can be since 20: 6: 15 have no numbers in common to be divided by.
Kayla invested $88,000 in an account paying an interest rate of 8 % compounded
daily. Sadie invested $88,000 in an account paying an interest rate of 8 %
compounded quarterly. After 16 years, how much more money would Sadie have in
her account than Kayla, to the nearest dollar?
Answer:
$21847
Step-by-step explanation:
Can someone help me with this. Will Mark brainliest.
What is 3 1/5 as an improper factor?
Answer:
16/5
Step-by-step explanation:
Describe the horizontal cross section of the triangular pyramid.
A.triangle
B.rectangle
C.trapezoid
D.square