There are 472 students in different
grades. Each grade has about the same
number of students. Select all the
statements that are reasonable
estimates for the number of students in
each grade.
n 50 students, because 472 = 6 is
about 450 = 5.
80 students, because 472 = 6 is
about 480 - 6.
100 students, because 472 4 6 is
about 500 = 5.
150 students, because 472 = 6 is
about 450 = 3.
200 students, because 472 = 6 is
about 1,200 + 6 = 200.
Final answer:
Reasonable estimates for the number of students per grade when there are 472 students total are 50, 80, or 100 students per grade.
Explanation:
The student's question asks for reasonable estimates for the number of students in each grade if there are 472 students in different grades with about the same number of students in each grade.
Let's examine the options given:
50 students, because 472 ÷ 9 is about 450 ÷ 9, which yields 50 students per grade.80 students, because 472 ÷ 6 is indeed close to 480 ÷ 6, which would result in about 80 students per grade.100 students, because 472 ÷ 5 is close to 500 ÷ 5, translating to 100 students per grade.150 students is not a reasonable estimate because 472 ÷ 3 is about 157, which is significantly off from 150.200 students is not reasonable either since 472 ÷ 2 is 236 and 1,200 ÷ 6 is not closely related to this problem.Therefore, reasonable estimates for the number of students per grade are 50 students, 80 students, and 100 students.
If I bought a Computer for $1,500.00
and used my 75% off coupon. How
much was the computer originally?
Answer:
The original price of the computer is $ 6,000 .
Step-by-step explanation:
Given as :
The selling price for the computer = $ 1,500.00
The discount coupon = 75 %
Let the original price or market price of computer = $ x
Now,
Discount % = [tex]\dfrac{\textrm market price - \textrm selling price}{\textrm market price}[/tex] × 100
Or, 75 % = [tex]\dfrac{\textrm x - \textrm 1500}{\textrm x}[/tex] × 100
Or, [tex]\frac{75}{100}[/tex] = [tex]\dfrac{\textrm x - \textrm 1500}{\textrm x}[/tex]
Or, [tex]\frac{1500}{x}[/tex] = 1 - [tex]\frac{75}{100}[/tex]
Or, [tex]\frac{1500}{x}[/tex] = [tex]\frac{100 - 75}{100}[/tex]
Or, [tex]\frac{1500}{x}[/tex] = [tex]\frac{25}{100}[/tex]
Or, x = [tex]\frac{150000}{25}[/tex]
∴ x = $ 6,000
Hence The original price of the computer is $ 6,000 . answer
Help finding the volume
Answer:
Using [tex]\pi =3.14[/tex] the volume of the cylinder is [tex]1471.875\ m^{3}[/tex]
Step-by-step explanation:
We are using [tex]\pi =3.14[/tex].
We know that volume of a cylinder is [tex]\pi (r)^2h[/tex]
For this we have
Height of the cylinder is given that is [tex]18.75\ m[/tex]
And the radius of the cylinder is unknown,
But there is a hint in which we can see that the diagonal,height and diameter forms a right angled triangle (or a cone).
Where [tex]21.25\ m[/tex] is the hypotenuse.
Using Pythagoras formula.
[tex](Hypotenuse)^2=(base)^2+(perpendicular)^2[/tex]
We can find the value of diameter which is the base over here.
So,
[tex]d=\sqrt{(21.25)^2-(18.75)^2}=\sqrt{(451.56-351.56)}=\sqrt{(100)}=10\ m[/tex]
Then radius [tex]\frac{diameter}{2} =\frac{10}{2}=5\ m[/tex]
Now using the above values and plugging it on to the formula.
Volume [tex]=\pi (r)^2h=(3.14)(5)^2\times 18.75=1471.875\ m^3[/tex]
So the volume of the cylinder is [tex]1471.875\ m^3[/tex]
What is 2/8+1/6 in the simplest form.
Answer:
20/48
Step-by-step explanation:
Answer:
I think it would be 1/4+1/6
Step-by-step explanation:
2/8 can be simplified by 2 because 2 goes into 2 once so 1 and 2 goes into 8, 4 times so that equals 1/4 and I believe the 1/6 is already simplified.
M
If mZOLN= 31° and mZMLO = 52º, what is mZMLN?
Answer:
∠ MLN = 21°
Step-by-step explanation:
See the attached diagram.
We are given that ∠ OLN = 31° and ∠ MLO = 52°.
So, the diagram is like that OL is the baseline of both the angles and two different lines one LM and the other LN are drawn from point L such that two angles will form and the measurement of ∠ OLM = 52° and ∠ OLN = 31°.
So, there will another angle form which is ∠ MLN which measures (52 - 31) = 21° (Answer)
PLEASE HELPPPP ! 16^x=64^x+4
Answer:
x = -12
Step-by-step explanation:
Set logs up on both sides-
log 16^x = log 64^x+4
The variable goes behind because of the exponent log property (exponents are permitted to go behind the log to multiply)-
x * log 16 = x + 4 * log 64
Divide both logs out-
log 64/log 16 = 1.5
Simplify-
x = x+4(1.5)
1.5x + 6 = x
Remove 1.5-
1 - 1.5 = -.5x
Simplify-
-.5x = 6
Divide both sides-
6/-.5x = -12
Hence, the answer would be -12
how do you use theorems about parallelograms to solve problems?
Final answer:
The theorems about parallelograms are used in mathematics to find unknown sides or angles and to prove properties of figures. When dealing with vectors, the parallelogram rule for vector addition helps find the resultant by constructing a parallelogram with the vectors as sides and the diagonal as the resultant.
Explanation:
To use theorems about parallelograms to solve problems, we often apply these principles to find unknown sides or angles or to prove certain properties about the figures we are dealing with. For example, one theorem states that opposite sides of a parallelogram are congruent, which can be useful when you need to find the length of a missing side.
Regarding vector addition, the parallelogram rule is applied. According to this rule, if we are adding two vectors, say vector A and vector B, we place them tail to tail, draw the vectors such that they form adjacent sides of a parallelogram, and then the resultant vector is represented by the diagonal of the parallelogram that starts from the common tail of the two vectors.
Similarly, if we need to find the resultant of three or more vectors, we use the parallelogram rule iteratively. We first find the resultant of the first two vectors and then add the third vector to this resultant using the same rule. This process is based on the associative and commutative properties of vector addition.
Need help with this math problem
Answer:
m<1: 51
m<2: 61
m<3: 29
Step-by-step explanation:
m<1 = 51, because to find the 3rd angle, you need to add the other two angles and then subtract 180 from that answer.
61 + 68 = 129
180 - 129 = 51
m<2 = 61, because it's a vertical angle, meaning that the angle that's opposite to it exactly, is the same. So since the angle opposite to m<2 is 61, that's what the answer would be.
m<3 = 29, because all you need to do is add 90 and 61, and then subtract 180 by the answer. I got 90 as one of the angle measurements because there's a right triangle, meaning it's 90. Then since we already know what angle 2 is (61) then all you need to do is add:
90 + 61 = 151
Then subtract:
180 - 151 = 29
mr. Savage shoes 3 gallons of paint to cover 1350 sq ft of wall space at this rate how much paint will be needed to cover 1800 square feet
Answer:
4 more gallons of paint
Step-by-step explanation:
3/5 with an exponent of 4
Step-by-step explanation:
[tex]\text{If is}\ \dfrac{3}{5}^4,\ \text{then}\ \dfrac{3}{5}^4=\dfrac{3\cdot3\cdot3\cdot3}{5}=\dfrac{81}{5}=16\dfrac{1}{5}\\\\\text{If is}\ \left(\dfrac{3}{5}\right)^4=\left(\dfrac{3}{5}\right)\left(\dfrac{3}{5}\right)\left(\dfrac{3}{5}\right)\left(\dfrac{3}{5}\right)=\dfrac{3\cdot3\cdot3\cdot3}{5\cdot5\cdot5\cdot5}=\dfrac{81}{625}[/tex]
Whats the slope (1,2) (3,-4)
Answer:
the slope is -3
m=-3
i tried my best :(
The senior class plans a school trip to Washington DC. Students should bring money for meals and souvenirs. They are told to bring at least $65 but no more then $135.write a compound inequality that represents the amount of money a student can bring.
Answer:
$70
Step-by-step explanation:
it is between both. I hope this helps
Answer:
$65 ≤ x ≤ $135
It can also be written as $65 ≤ x AND x ≤ $135
Step-by-step explanation:
Now, one should know the meaning of compound inequality. A compound inequality is the inequality which simply combines the two simple inequalities.
Now, in an inequality, three relations are performed, equal to, less than and greater than. You can combine 'equal to' with 'less than' or 'greater than' according to situation given.
Notice that in given sign
≤
the value at left side or the pointed side will be small or lesser than the value at right side. Also notify that if inverted, like this ≥
Value of left side will be greater. Means the value at pointed side will always be smaller. The lower bar is sign of equal to
if this is written
x ≤ 3
It means that x can be equal to three or any value less than 3 means 2,1,0,-1 etc.
Now in question given, it is stated that money should be not less than $65 means it can either be $65 or more but not less than it. Lets assume 'x' as the amount required,
So one inequality is
$65 ≤ x
For second condition which is amount should be no more than $135, means it can be $135 or less, so inequality is
x ≤ $135
Remember that we use AND in the answer because both statements of inequality are need to be fulfilled or satisfied.
A sequence has a common ratio of Three-halves and f(5) = 81. Which explicit formula represents the sequence? f(x) = 24(Three-halves) Superscript x minus 1 f(x) = 16(Three-halves) Superscript x minus 1 f(x) = 24(Three-halves) Superscript x f(x) = 16(Three-halves) Superscript x
Answer:
[tex]f(x)=16\, (\frac{3}{2} )^{x-1}[/tex]
Step-by-step explanation:
Since we are given the common ratio (3/2), all we need to find to define the geometric sequence, is its multiplicative factor ([tex]a[/tex]) that corresponds to the first term of the sequence - remember that all consecutive terms will be generated by multiplying this first value repeatedly by the common ratio (3/2) as shown below:
[tex]f(1)=a\\f(2)=a\,*\,(\frac{3}{2} )\\f(3)=a\,*\,(\frac{3}{2} )^2\\f(4)=a\,*\,(\frac{3}{2} )^3\\f(5)=a\,*\,(\frac{3}{2} )^4[/tex]
Since we are given the information that [tex]f(5)=81[/tex] we can use this to find the value of the first term:
[tex]f(5)=\,a\,*\,(\frac{3}{2} )^4\\81=\,a\,*(\frac{81}{16} )\\a\,*\,81=\,81\.*\,16\\a\,=\,16[/tex]
Notice as well that the first term doesn't contain the common ratio, the second term contains the common ration (3/2) to the power one, the third one contains the common ratio to the power two, the fourth one contains it to the power three, and so forth. So the exponent at which the common ratio appears is always one unit less than the order (x) of the term in question. This concept helps us finalize the expression for the sequence's formula:
[tex]f(x)=16\,*\,(\frac{3}{2} )^{x-1}[/tex]
Answer:
B
The other answer was too long.
EAM
on of the system of equations,
2x + 2y = 16
10x - 2y = 24
Answer:
x=10/3, y=14/3. (10/3, 14/3).
Step-by-step explanation:
2x+2y=16
10x-2y=24
---------------
x+y=8
10x-2y=24
-----------------
x=8-y
10(8-y)-2y=24
80-10y-2y=24
80-12y=24
12y=80-24
12y=56
y=56/12=14/3
x=8-14/3=24/3-14/3=10/3
x=10/3, y=14/3.
Doris ran 2.5 kilometers, then sprinted 300 meters and finally walked 1/4
of the distance she sprinted. How many meters did she travel during practice?
Total distance traveled by Doris during practice is 2875 meters
Step-by-step explanation:
Given
Distance run by Doris = 2.5km
Converting into meters (as the distance has to be added to other distances, all the distances should be in same unit)
2.5*1000= 2500 meters
Distance covered sprinting = 300 meters
distance walked = 1/4 of 300
[tex]=\frac{300}{4} = 75m[/tex]
Hence,
The total distance will be:
[tex]= Distance\ ran+Distance\ sprinted+Distance\ walked\\= 2500+300+75\\=2875\ meters[/tex]
Hence,
Total distance traveled by Doris during practice is 2875 meters
Keywords: Measurement, Distance
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Which statement shows the associative property of addition?
(d + 4) + 17 = 17 + (d + 4)
13 + 5a = 5a + 13
7⋅(4⋅x)=(7⋅4)⋅x
(18 + 6) + y = 18 + (6 + y)
Answer:
(18 + 6) + y = 18 + (6 + y)
Step-by-step explanation:
Answer:
the answer is (18 + 6) + y = 18 + (6 + y )
Step-by-step explanation:
i did the quiz and got it right!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
hope this helps!!!!!!!!!!!!!!!!!!!11
A county has 90 schools. The county received 992 new computers. Are there enough computers so that each school can get 11 computers? Explain
Answer:
there will be enough for each school to get 11 computers
Step-by-step explanation:
use a calculator and put in 992 divided by 11. your answer should appear as 90.1818182
Yes, there are enough computers 992 to be distributed to 90 schools.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a county has 90 schools. The county received 992 new computers.
The required computers for 90 schools will be calculated as,
Computer required = 90 x 11
Computer required = 990
Available compters = 992
Remaining = 992 - 990 = 2 computers
Therefore, there are enough computers 992 to be distributed to 90 schools.
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Parallelogram R S T U is shown. Diagonals are drawn from point R to point T and from point U to point S and intersect at point V. The length of line segment U V is (x minus 3) meters and the length of line segment V S is (3 x minus 13) meters. Quadrilateral RSTU is a parallelogram. What must be the value of x? 2 4 5 10
Answer:
Option C.
Step-by-step explanation:
Given information: RSTU is a parallelogram, Digonals RT and SU intersect each other at point V, UV=(x-3) and VS=(3x-13).
According to the properties of a parallelogram, the diagonals of a parallelogram bisect each other.
Using the properties of parallelogram we can say that point V divides the diagonal SU in two equal parts, UV and VS.
[tex]VS=UV[/tex]
[tex]3x-13=x-3[/tex]
Subtract x from both sides.
[tex]2x-13=-3[/tex]
Add 13 on both sides.
[tex]2x=10[/tex]
Divide both sides by 2.
[tex]x=5[/tex]
Therefore, the correct option is C.
Answer:
option 3: x=5
Step-by-step explanation:
just took quiz
what is 776.732 in word form ?
Answer: seven hundred seventy six and seven thousand thirty two thousandths
Step-by-step explanation:
Answer:
seven hundred and seventy six and seven hundred thirty two thousandths
$132 in the ratio 2:3:6.
Answer:
$132 in ratio of 2:3:6 is $24, $36 and $72.
Step-by-step explanation:
Dividing $132 in ratio of 2:3:6
Let share of first be = [tex]2x[/tex]
Share of second will be = [tex]3x[/tex]
Share of third will be = [tex]6x[/tex]
Adding the shares
⇒ [tex]2x+3x+6x=11x[/tex]
Total value = $132
So we have,
[tex]11x=132[/tex]
Dividing both ides by 11.
[tex]\frac{11x}{11}=\frac{132}{11}[/tex]
[tex]x=12[/tex]
∴ First share = [tex]2\times 12=\$24[/tex]
∴ Second share = [tex]3\times 12=\$36[/tex]
∴ Third share = [tex]6\times 12=\$72[/tex]
Which only lists multiples of 16?
O
1, 2, 4, 8, 16
16, 24, 32, 40
16, 32, 48, 64
1, 2, 4, 8, 12, 16
16, 32, 48, 64
16 = 16x1
32 = 16x2
48 = 16x3
64 = 16x4
Answer:
C
Step-by-step explanation:
-18, 10, -20, -11, 9, 18
Mean
Median
Mode
Range
Mean = -2
Median = -1
Mode = Nil
Range = 38
Step-by-step explanation:
Given data is:
-18, 10, -20, -11, 9, 18
Arranging the data in ascending order
-20, -18, -11, 9, 10, 18
Mean:
Mean is given by the formula
[tex]Mean=\frac{Sum}{items}[/tex]
Items are: 6
[tex]Mean = \frac{-20-18-11+9+10+18}{6}\\= \frac{-12}{2}\\= -2[/tex]
Mode:
Mode is the most frequent value in the data. So,
As there is no value repeated in the data. There is no mode
Median:
Median is the middle value of the data. As the no. of data value are even,
the average of middle 2 values is mode.
Note that the data has to be arranged in ordered to find median
Here,
[tex]Median = \frac{-11+9}{2}\\=\frac{-2}{2}\\= -1[/tex]
Range:
Range is the difference between the largest and smallest value of the data
Here
Largest value = 18
Smallest value = -20
So,
[tex]Range = Largest\ value-Smallest value\\= 18-(-20)\\= 18+20\\=38[/tex]
Hence,
Mean = -2
Median = -1
Mode = Nil
Range = 38
Keywords: Data, Median
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(3.6 x 10^-5) + (3.5 x 10^-5)
Write your answer in scientific notation.
Answer:
(3.6 × 10^-5) + (3.5 × 10^-5) = 7.1 × 10^-5
Solve.
5. During the summer, Jayden
volunteers at the library for 20 hours
each week for 7 weeks. How many
hours does Jayden volunteer in all?
How many hours did Jayden volunteer
Answer:
he volunteered 140 hours
Step-by-step explanation:
20*7=140
-3(y+3)=2y+3
help plzs!!!!!!......
Answer:
For the given expression -3( y + 3 ) = 2 y + 3 the value of y = -2.4.
Step-by-step explanation:
Here, the given expression to be simplified : -3( y + 3 ) = 2 y + 3
Now, by DISTRIBUTIVE PROPERTY:
A (B +C) = AB + AC
Simplifying the given expression:
-3( y + 3 ) = 2 y + 3 ⇒ -3 ( y) - 3 ( 3) = 2 y + 3
or, -3y - 9 = 2y + 3
⇒ 3 y + 2 y = -3 - 9
or, 5 y = -12 ⇒ y = -12/5 = -2.4
⇒ y = - 2.4
Hence,for the given expression -3( y + 3 ) = 2 y + 3 the simplified value of y = -2.4
A function has y-intercept of -3 and a slope of 1/5. Which equation below describes the function?
A.
y = -3x + 1/5
B.
y = 1/5x2 - 3
C.
y = 1/5 + x - 3
D.
y = 1/5x - 3
y= mx+b slope intercept form
slope is also m
b is the y-intercept
y-intercept= -3
slope=1/5
answer:
D. y = 1/5x - 3
A group of friends went to the movies together. The ticket price was $9.00 per
person but each received a student discount of $2.00. The total for the group a
$28.00. Write and solve an algebraic equation to show how many people were
the group.
Answer:
4 people
Step-by-step explanation:
9-2= $7
28/7 = 4
add the polynomials
3x^5-2x^3+4x
+ 4x^6-5x^5+4x^3-x^2
Answer: B
4x^{6} - 2x^{5} + 4x^{3} -x^{2} +4x
Step-by-step explanation:
3x⁵ - 2x³ + 4x + 4x⁶ - 5x⁵ + 4x³ - x² =
= 4x⁶ + 3x⁵ - 5x⁵ - 2x³ + 4x³ - x² + 4x
= 4x⁶ - 2x⁵ + 2x³ - x² + 4x
Points A and B lie in plane R Line AB does not lie in plane RI
always
sometimes
never
Answer:
The question has been presented in a complicated manner. I am answering the question based on my understanding. Line AB will never lie in plane R. The correct option among all the options that are given in the question is the third option.
hope I helped you answer your question:)
Answer:
never
Step-by-step explanation:
What is a quarter of 200
Answer:
50
Step-by-step explanation:
200/2=100
100/2=50
A quarter of something is just another word for a fourth of something (1/4th).
We can solve this using two different ways.
Solution #1:
1/4 = 0.25
200 * 0.25 = 50 (quarter of 200)
Solution #2:
200 / 4 = 50 (quarter of 200)
______
Best Regards,
Wolfyy :)