Answer:
L=10 cm
Step-by-step explanation:
Surface area of cube = 600
6L^2=600
L^2=600/6
L^2=100
L=
[tex] \sqrt{100} [/tex]
L=10 cm
Which is a better buy—100 sheets of binder paper at $2.50, or 150 sheets at $3.50?
Answer:
150 sheets is the better buy.
Step-by-step explanation:
Cost of each sheet when buying 100 = $2.50 / 100 = $0.0250'
If you buy 150 cost per sheet = $3.50 / 150 = $0.0233.....
So buying 150 sheets is the better buy.
Final answer:
After calculating the unit price for both options, the 150 sheets at $3.50 offer a lower unit price of approximately $0.0233 per sheet compared to $0.025 per sheet for 100 sheets at $2.50, making it the better buy.
Explanation:
To determine which is a better buy between 100 sheets of binder paper at $2.50 and 150 sheets at $3.50, we need to calculate the unit price for each option.
For the first option, 100 sheets at $2.50, the unit price would be $2.50 divided by 100 sheets, which equals $0.025 per sheet.For the second option, 150 sheets at $3.50, the unit price would be $3.50 divided by 150 sheets, which equals approximately $0.0233 per sheet.Comparing the two unit prices, the 150 sheets at $3.50 offer a lower unit price and thus represent a better value for your money.
Given: BDis a diameter
m 1 = 100°
m BC= 30°
m2 =
30
80
100
Answer:
∠2 = 80°
Step-by-step explanation:
Since BD is a diameter then
∠1 + ∠2 = 180°, that is
100° + ∠2 = 180° ( subtract 100° from both sides )
∠2 = 180° - 100° = 80°
Answer:
B. 80
Step-by-step explanation:
We have been given a circle. We are asked to find the measure of angle 2.
Since BD is diameter of our given circle, so angle 1 and angle 2 will be linear pair of angles.
We know that linear angles add up-to 180 degrees, so we can set an equation as:
[tex]m\angle 1+m\angle 2=180^{\circ}[/tex]
[tex]100^{\circ}+m\angle 2=180^{\circ}[/tex]
[tex]100^{\circ}-100^{\circ}+m\angle 2=180^{\circ}-100^{\circ}[/tex]
[tex]m\angle 2=80^{\circ}[/tex]
Therefore, measure of angle 2 is 80 degrees and option B is the correct choice.
4.5kg of oranges and 3kg of apples cost a total of £3.87 2.5kg of oranges cost £1.40 Work out the cost of 1kg of apples.
Final answer:
The cost of 1kg of apples is £0.45, calculated using two equations derived from the given information about the cost of oranges and apples.
Explanation:
To work out the cost of 1kg of apples, we can set up two equations based on the information given: 4.5kg of oranges and 3kg of apples cost a total of £3.87, and 2.5kg of oranges cost £1.40. Let's assume the cost per kilogram of oranges is 'O' and the cost per kilogram of apples is 'A'. The equations would be:
4.5O + 3A = 3.87 ........(1)
2.5O = 1.40 ........(2)
From equation (2), we can calculate the cost of oranges per kilogram:
O = 1.40 / 2.5
O = £0.56 per kilogram
Now substitute the value of 'O' in equation (1) to find 'A':
4.5(0.56) + 3A = 3.87
2.52 + 3A = 3.87
3A = 3.87 - 2.52
3A = 1.35
A = 1.35 / 3
A = £0.45 per kilogram
Therefore, the cost of 1kg of apples is £0.45.
20. A doctor measured a patient's resting pulse rate at 80 beats per minute. Draw a
graph to show the relationship between time and the number of times the patient's
heart beats.
Use it to estimate how many times the patient's heart will beat in 18 minutes. Write an
equation in Y = mx + b form.,
Answer:
1440 beats
Step-by-step explanation:
Given that a doctor measured a patient's resting pulse rate at 80 beats per minute.
i.e. if no of beats in a dependent variable on time then we have a linear relationship between y - no of beats and x - no of minutes
Here slope= rate of change of y with respect to x [tex]= m=80[/tex]
And we have y intercept as 0 since when time is 0 no heart beat. i.e. (0,0) is a point on the line
The equation would be
[tex]y=80x[/tex],x≥0
When [tex]x=18, \\y = 18(80)\\y = 1440[/tex] beats.
Graph is enclosed.
An arithmetic series is represented by the equation (picture). Which of the following is true?
A. The value of the series is greater than the value of the 24th number in the series.
B. The value of the series is between the values of the 1st and 24th numbers in the series.
C. The value of the series is equal to the value of the 1st or 24th numbers in the series.
D. The value of the series is less than the value of the 1st number in the series.
Answer:
C
Step-by-step explanation:
In arithmetic series
[tex]\sum \limits _{k=1}^{24}(-6+0.5k)[/tex]
we have
[tex]a_1=-6+0.5\cdot 1=-5.5\\ \\a_{24}=-6+0.5\cdot 24=-6+12=6\\ \\S_{24}=\dfrac{a_1+a_{24}}{2}\cdot 24=\dfrac{-5.5+6}{2}\cdot 24=0.5\cdot 12=6[/tex]
Thus, the value of the series is equal to the value of the 24th number in the series.
which of these ordered pairs is a solution to the linear inequality y ≤ 4x - 3
Answer:
(2,5) is a solution of the inequality
Step-by-step explanation:
we have
[tex]y\leq4x-3[/tex]
The solution of the inequality is the shaded area below the solid line [tex]y=4x-3[/tex]
Remember that if a ordered pair is a solution of the linear inequality, then the ordered pair must lie on the shaded region of the inequality
Let
A(-2,5),B(2,5),C(1,5),D(1,4)
Plot each point
The point B(2,5) lie on the shaded region
therefore
(2,5) is a solution of the inequality
see the attached figure
5) Trey burns 398 calories in one hour during exercising. How many calories will he burn in 34
hours?
PLEASE HELP ASAP I WILL GIVE 1O P0INTS AS AN AWARD :D
Answer:
13532
Step-by-step explanation:
398 x 34 = 13532
Answer:
398 x 34 = 13532
Step-by-step explanation:
3. A city planner is measuring the distance of one city block. Which unit of measure should she use: 1 mile, 1 meter, 1/2 inch?
Meter :) hope this helps!
Answer:
Meters
Step-by-step explanation:
City planner should use Meter unit as the distance within the city blocks are much higher that the distances which can be measured in inches and they are much lesser than the distances which can be measured in Miles.
For instance, Two blocks of a city can not be few miles away or few inches away , but they can be few meters away from each other.
Hope that helped .
19 POINTS
Solve 30/m+1=10/3m-5
Show work
30(3m-5)=10(m+1);
90m-150=10m+10;
90m-10m=150+10;
80m=140;
m=140/80=14/8=1.75
Answer:
m = 2
Step-by-step explanation:
If you're dividing 10 by 3m-5, please enclose the 3m - 5 inside parentheses to eliminate any ambiquity:
Solve 30/(m+1) = 10/(3m-5)
Here we have the LCD (m+1)(3m-5). Multiply both sides of this equation by this LCD and simplify the results:
30 10
(m+1)(3m-5)--------- = (m+1)(3m-5)----------
m+1 3m-5
After cancelling, we have:
30(3m-5) = 10(m+1),
which, when expanded, comes to:
90m - 150 = 10 m + 10
Combining like terms, we get:
80m = 160, and so m = 2.
The work of a student to find the dimensions of a rectangle of area 8 + 12x and width 4 is shown below:
Step 1: 8 + 12x
Step 2: 4(2) + 4x(2)
Step 3:4(4 + 8x)
Step 4: Dimensions of the rectangle are 4 and 4 + 8x
In which step did the student first make an error and what is the correct step?
Step 2: 4(2) + 4x(2)
Step 2: 4(2) + 4(3x)
Step 3: 4 + (4 + 8x)
Step 3: 4+ (48X)
Answer:
Step 2: 4 ( 2 ) + 4 ( 3 x )
Step-by-step explanation:
The student didn't factorise 8 x + 12 properly
Answers are
A:4 square root 5
B:16
C:6
D:8 square root 5
Answer:
[tex]\large\boxed{A:\ 4\sqrt5}[/tex]
Step-by-step explanation:
Look at the picture.
ΔABC and ΔADB are similar. The corresponding angles are in proportion:
[tex]\dfrac{AB}{AC}=\dfrac{AD}{AB}[/tex]
We have:
[tex]AB=x,\ AC=5+11=16,\ AD=5[/tex]
Substitute:
[tex]\dfrac{x}{16}=\dfrac{5}{x}[/tex] cross multiply
[tex]x^2=(16)(5)\to x=\sqrt{(16)(5)}[/tex] use √ab = √a · √b
[tex]x=\sqrt{16}\cdot\sqrt5\\\\x=4\sqrt5[/tex]
Jamie says the value of the expression 1.43 ×(-24/47) is close to −0.75. Does Jamie's estimate seem reasonable? Explain.
Answer:
The estimate is reasonable.
Step-by-step explanation:
Jamie's estimate seems reasonable.
We can see that there is (-24/27) in the bracket, first of all there is negative sign so there will be negative sign in the answer. Moreover, 24 is near to half of 27 so fraction will result in -0.5XXXXX and multiplying it with 1.4 will increase it around -0.75.
We can solve the given fraction for confirmation,
So,
[tex]= 1.43 * (\frac{-24}{47} )\\=1.43*(-0.5106)\\=-0.7302[/tex]
which is near to -0.75 so the estimate of Jamie was right ..
Jamie's estimate of -0.75 is reasonable given the calculated result of approximately -0.73.
The value of the expression 1.43 × (-24/47) is indeed close to -0.75. To show this, let's calculate it step by step:
Multiply 1.43 by -24: 1.43 * -24 = -34.32Now, divide -34.32 by 47: -34.32 / 47 ≈ -0.7298Therefore, Jamie's estimate of -0.75 is reasonable given the calculated result of approximately -0.73.
Wendy drew a scale drawing of the auditorium. She used the scale 3 inches : 2 feet. The stage is 18 feet wide in real life. How wide is the stage in the drawing?
Answer:
12 inches
Step-by-step explanation:
[tex]18 \times (2 \div 3)[/tex]
Answer:
27 inches
Step-by-step explanation:
We can use proportions to solve this problem. Put the drawing size over the real life size
3 inches x inches
------------- = -----------
2 ft 18 ft
Using cross products to solve
3 * 18 = 2 * x
54 = 2x
Divide each side by 2
54/2 =2x/2
27 =x
The stage should be 27 inches in the drawing
Select the correct answer. Which transformation will always map a parallelogram onto itself? A. a 90° rotation about its center B. a reflection across one of its diagonals C. a 180° rotation about its center D. a reflection across a line joining the midpoints of opposite sides
Answer:
C. a 180° rotation about its center
Step-by-step explanation:
The question is on rotation of an object about the origin through 180°
When a point B, (h,k) is rotated about the origin 0 through 180° both clockwise and anticlockwise directions , the new position is B'(-h,-k)
Example, if we have point K (5,8) rotated through 180°, clockwise or anti-clockwise about the origin the new position will be; K'(-5,-8)
A 180° rotation about the center of a parallelogram will always map the parallelogram back onto itself due to the shape's symmetry.
Explanation:The transformation that will always map a parallelogram onto itself is a 180° rotation about its center. This is because a 180° rotation essentially flips the shape over, but, because a parallelogram is symmetrical, it would still look the same. For example, imagine a parallelogram ABCD with point A at the top and AB as the base. If you rotate it 180°, point A was at the top and now is at the bottom, but the shape is still a parallelogram. Similarly, the other transformations may not necessarily map the shape back onto itself.
Learn more about Parallelogram Transformation here:https://brainly.com/question/12456893
#SPJ3
What is the next term in the geometric sequence -1 -2 -4
Answer:
-8
Step-by-step explanation:
r=2
so multiply third term by 2
Answer: -8
Step-by-step explanation:
We must remember that, in geometric sequences, the ratio between the consecutive terms is constant.This is called "Common ratio" and is represented with "r".
We need to find the common ratio of this geometric sequence:
Divide one term by the previous term:
[tex]r=\frac{-4}{-2}\\\\r=2[/tex]
Then, the next term asked in the exercise can be found by multiplying -4 by 2.
Therefore, this is:
[tex]next\ term=(-4)(2)\\\\next\ term=-8[/tex]
Please help I will make BRAINLIEST!!!!!
Answer:
variable= x
x ≤ 100
Step-by-step explanation:
it would be x ≤ 100 because it says it can hold as many AS 100, making it less than or equal to 100
What is the factored form of 64g^3+8
Answer:
8(2g + 1)(4g² - 2g + 1)
Step-by-step explanation:
Given
64g³ + 8 ← factor out 8 from each term
= 8(8g³ + 1) ← 8g³ + 1 is a sum of cubes and factors as
8g³ + 1 = (2g + 1)((2g)² - 2g + 1² ) = (2g + 1)(4g² - 2g + 1)
Hence
64g³ + 8 = 8(2g + 1)(4g² - 2g + 1)
Answer:
the correct answer is D
Step-by-step explanation:
trust
3. Riley records the number of
homework assignments completed
by randomly selected students in her
school on Monday in the table below.
Grade Assignments Completed
eighth 5,4,5, 4, 4, 5, 4, 5
seventh 6,5,5,5,6,6,5,6
sixth 5,3, 4, 3, 5, 4, 4,4
Make a comparative inference based
on the mean values of each data set.
Answer:
means are
8th:4.5
7th:5.5
6th:4
7th is most
Step-by-step explanation:
Solve the equation for all real values of x.
a.pi/6
b.pi k,pi/6
c. pik
d.pi/6+pik
Answer:
C
Step-by-step explanation:
1 / (cos x - sin x) = cos x + sin x
Multiply:
1 = (cos x + sin x) (cos x - sin x)
Distribute:
1 = cos² x - sin² x
Use trig identity:
sin² x + cos² x = cos² x - sin² x
2 sin² x = 0
sin x = 0
x = πk
Answer C.
if y varies inversely with x find the constant of variation with x = - 40 and y = 4
A. +10
B. -10
C. +160
D. -160
-160
I'm so sorry if I get this wrong I'm still new!
Write 3/ 8 as a percentage
Step-by-step explanation: To write 3.8 as a percent multiply 3.8 by 100 to obtain 380. Then append the percent sign (%). To learn about the spacing check out the reference section of decimal to percent.
Travis is buying Mushrooms at the grocery store mushrooms cost five dollars for 9 ounces how much will 13 ounces of mushroom cost to the nearest cent
For this case we make a rule of three, based on the fact that 9 ounces of mushrooms cost $ 5.
9 oz --------------> 5 $
13oz ------------> x
Where "x" represents the amount of dollars that cost 13 ounces of mushrooms.
[tex]x = \frac {13 * 5} {9} = \frac {65} {9} = 7.222222[/tex]
Rounding out, we have that 13 ounces of mushrooms cost $ 7 with 22 cents.
Answer:
$ 7 with 22 cents
Answer:
Step-by-step explanation:
9 oz cost $5 therefore you want to find the cost per oz which would be $5/9oz= 0.55555556 per oz
0.55555556 x 13oz = $7.222222 which is $7.22
For the following question, what is the value of x to the nearest tenth?
(1 point)
3.6
4.2
06.6
O 10.4
O 11.6
Answer:
Unit 4(circles) Lesson 2 (chords and arcs)
Step-by-step explanation:
1. The circles are congruent. Which conclusion can you draw?
answer: <AEB=<QUR
2. JG is the diameter of M. Which conclusion cannot be drawn from the diagram?
answer: KN=NI
3. For the following question, what is the value of x to the nearest tenth?
answer: 6.6
4. For the following question, what is the value of x to the nearest tenth?
answer: 11.5
5. If <AFB=<DFE what must be true
answer: AB=DE
hope this helpppss
The value of x to the nearest tenth by the Pythagoras theorem is 6.57.
It is given that
Length of the chord = 11
Distance of chord from the center of the circle = 3.6
As we know that perpendicular drawn from the center of a circle to its chord bisects the chord.
Using Pythagoras theorem
What is Pythagoras theorem?The square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.
[tex]x^{2} = 3.6^{2} + (11/2)^{2}[/tex]
[tex]x^{2} = 12.96 + 30.25\\\\x^{2} = 43.21\\\\x = 6.57[/tex]
Therefore, the value of x to the nearest tenth is 6.57.
To get more about Pythagoras theorem visit:
https://brainly.com/question/343682
a line with a slope of 0 and y intercept of -12
Answer:
y = -12
Step-by-step explanation:
It's a horizontal line that goes through the point (0,-12). Look up HOY VUX on Google and that should explain the special cases for lines.
what is the mean of the following data value 53,71,89,10,62
Answer: 57
Step-by-step explanation:
53+71+89+10+62=285
285/5=57
Answer: 57
Step-by-step explanation:
Order the data least to greatest: 10, 53, 62, 71, 89
then add them to get the sum of: 285
now divide that by how many numbers are in the data set so: 285/5
= 57
Dominic is looking over his spending pattern for the past week to try to determine how much money he had on Sunday. This is Dominic’s spending pattern:
Day
Debit ($)
Credit ($)
Monday
158
---
Tuesday
69
44
Wednesday
175
---
Thursday
131
38
Friday
---
53
Saturday
22
14
If the bank charges Dominic an overdraft fee of $25 every time he overdraws his account, and Dominic overdrew his account on Thursday but not on Saturday, which of the following is a possible amount of money that Dominic could have had in his account last Sunday? Assume that the only debits and credits not listed are overdraft fees.
a.
$500
b.
$480
c.
$435
d.
$400
Please select the best answer from the choices provided
A
B
C
D
Answer:
THE ANSWER IS C.435
Step-by-step explanation:
Answer:
The correct answer would be option C, $435
Explanation:
In real financial banking transactions, Debits are basically the withdrawals and credits are deposits.
Because the problem states that there was an over withdrawal on Thursday but not on Saturday, this means that the ending balance on Thursday was a negative balance. On Saturday, the remaining balance was a positive balance. 500 and 480 as a beginning balance doesn't give a negative balance on Thursday. 400 as a beginning balance gives a negative balance on Thursday as well as Saturday.
Debit Credit Balance
Sunday 435
Monday 158 277
Tuesday 69 44 252
Wednesday 175 77
Thursday 131 38 -16
25 -41 Overdraft fee
Friday 53 12
Saturday 22 14 4
So the correct answer is option C, $435
what is equivalent to 4 feet
Final answer:
4 feet is equivalent to 1 1/3 yards or 48 inches, as there are 3 feet in a yard and 12 inches in a foot.
Explanation:
The student has asked what is equivalent to 4 feet. To answer this, we must understand that feet and yards are units of measurement commonly used to measure length or distance. In the United States customary system, 1 yard is equivalent to 3 feet. Therefore, to find the equivalent of any number of feet in terms of yards, one can divide the number of feet by 3. For 4 feet, this would be calculated as follows:
4 feet ÷ 3 feet/yard = 1 1/3 yards.
Alternatively, since 4 is just 1 more than 3, we can see that 4 feet is 1 yard plus 1 additional foot, which confirms our conversion of 1 1/3 yards. Other times, feet may be converted into inches, where 1 foot equals 12 inches. In this case, 4 feet x 12 inches/foot equals 48 inches.
How would you graph the solution to x/3 ≤ -2? Draw a closed circle on -6 and shade to the right. Draw a closed circle on -6 and shade to the left. Draw an open circle on -6 and shade to the right. Draw an open circle on -6 and shade to the left.
Answer:
Draw a closed circle on -6 and shade to the left.
Use 3.14 for pi to estimate the area of a circle the diamater is given round your answer to the nearest hundredth if nessesary (please help I don’t remember how to do this and I’d like to know how if you could help I’d appreciate it)
Answer: 221.56
Step-by-step explanation: (3.14)(r)^2
r = half diameter
It's not 0.9158 or w/ the added 5 XP
Friend - Number of hours of studying per week - Grade Point Average (out of 5.0)
Allie - 14 - 3.91
Samantha - 42 - 4.98
Hayley - 10 - 3.22
Jessica - 32 - 4.81
Megan - 5 - 2.0
Rachel - 10 - 2.82
Briley - 25 - 3.79
Lauren - 18 - 3.48
Answer:
go back to hong kong
imma send you back to hong kong
Step-by-step explanation: