4.1 Number Talk: Division
Find each quotient mentally.
645 divided by 100
645 divided by 50
48.6 divided by 30
48.6 divided by x
Answers
Answer:
645/100 = 129/20 or 6.45
645/50 = 129/10 or 12.9
48.6/30 = 1.62
48 divided by x = 48.6/x
Step-by-step explanation:
645/100
Factor the number:
= 5*129/100
Factor the number:
= 5*129/5*20
Cancel the common factor:
= 129/20
645/50
Factor the number:
5*129/50
Factor the number:
5*129 / 5*10
Cancel the common factor:
= 129/10
48.6/30
Write the problem in long division format
Multiply the quotient digit (1) by the divisor (30)
Subtract 30 from 48
Add a decimal and bring down the next number
Divide 186 by 30 to get 6
Continue...A few steps later...
Subtract 60 from 60
Solution is 1.62
48.6/x
Re-write division as a fraction:
48.6/x
Related Questions
Write the ratio in fractional notation in lowest terms.
5 megabytes to 22 megabytes
The ratio is (Type the ratio as a simplified fraction.)
Answers
Answer:
99999k
Step-by-step explanation:
kjjuhhhhhhhhhuurdghsex
15. To receive a B in his English class, Nicolas must have an average score of at least 84 on five
tests. He scored 90,91, 79, and 81 on his first four tests. What is the score range he can receive
on his last test and still receive a B in the class?
Answers
Answer:
(90+91+79+81+x)/5=84and 341+x=84*5and341+x=420and x=420-341 finally x=79
what are the congruent angles and sides???
Answers
Answer:
the helping hand got it
PLEASE help due today
Answers
Answer: Number 3; $1250
Number 4; Salesperson A ($7428.30)
Number 5; 18%
Number 6; Rent 780, Food 900, Medical 450, Clothes 300, Miscellaneous 570.
Step-by-step explanation: (No 3) The principal amount is 5000, the rate is 5% (0.05) and the time in years is 5. The formula for calculating simple interest is as follows;
I = P x R x T
I = 5000 x 0.05 x 5
I = 1250
Therefore Joanna will pay $1,250 as interest
(No 4) The amount made by both salespersons is shown as follows;
A = 11% x 67530
A = 0.11 x 67530
A = 7,428.30
B= 8% x 85740
B = 0.08 x 85740
B = 6,859.20
Therefore from the calculations above, salesperson A made more commission and the amount made is $7,428.30
(5) John's earning is 38000 and he paid 6840 for entertainment. The percentage paid for entertainment therefore is as follows;
Percent paid = (entertainment/total income) x 100
Percent paid= (6840/38000) x 100
Percent paid = 684000/38000
Percent paid = 18
Therefore he paid 18% for entertainment
(6) Nora makes a total of 3000 a month broken down as follows;
Rent = (26/100) x 3000
Rent = 0.26 x 3000
Rent = 780
Food = (30/100) x 3000
Food = 0.30 x 3000
Food = 900
Medical = (15/100) x 3000
Medical = 0.15 x 3000
Medical = 450
Clothes = (10/100) x 300
Clothes = 0.10 x 3000
Clothes = 300
Miscellaneous = (19/100) x 3000
Miscellaneous = 0.19 x 3000
Miscellaneous = 570
Answer: Number 3; $1250
Number 4; Salesperson A ($7428.30)
Number 5; 18%
Number 6; Rent 780, Food 900, Medical 450, Clothes 300, Miscellaneous 570.
Step-by-step explanation: (No 3) The principal amount is 5000, the rate is 5% (0.05) and the time in years is 5. The formula for calculating simple interest is as follows;
I = P x R x T
I = 5000 x 0.05 x 5
I = 1250
Therefore Joanna will pay $1,250 as interest
(No 4) The amount made by both salespersons is shown as follows;
A = 11% x 67530
A = 0.11 x 67530
A = 7,428.30
B= 8% x 85740
B = 0.08 x 85740
B = 6,859.20
Therefore from the calculations above, salesperson A made more commission and the amount made is $7,428.30
(5) John's earning is 38000 and he paid 6840 for entertainment. The percentage paid for entertainment therefore is as follows;
Percent paid = (entertainment/total income) x 100
Percent paid= (6840/38000) x 100
Percent paid = 684000/38000
Percent paid = 18
Therefore he paid 18% for entertainment
(6) Nora makes a total of 3000 a month broken down as follows;
Rent = (26/100) x 3000
Rent = 0.26 x 3000
Rent = 780
Food = (30/100) x 3000
Food = 0.30 x 3000
Food = 900
Medical = (15/100) x 3000
Medical = 0.15 x 3000
Medical = 450
Clothes = (10/100) x 300
Clothes = 0.10 x 3000
Clothes = 300
Miscellaneous = (19/100) x 3000
Miscellaneous = 0.19 x 3000
Miscellaneous = 570
A restaurant will select 1 card from a bowl to win a free lunch. Jo puts 5 cards in the bowl. The bowl has 100 cards. What are the odds of jo winning a free lunch?
A)1/5
B)1/10
C)1/20
D) 1/500
Answers
Answer:
1/20
Step-by-step explanation:
PLEASE HELP FOR 25 points and maybe a Brainliest . The cost y (in dollars) of getting into a fair and riding x rides is
C(x) = 1.5x +5. You only have a total of $20 to spend at the fair.
a.graph the function and identify its domain and range.
b. Interpret the slope and the intercepts of the graph.
Thank you if u helped
Answers
Set up a system of linear equations, and then solve for the indicated quantities.
Three times the smaller of two numbers plus three times the larger number is – 15.
Six times the smaller number minus three times the larger number is – 21.
Find the numbers.
Let x represent the smaller number. Let y represent the larger number.
Answers
9514 1404 393
Answer:
smaller: -4larger: -1Step-by-step explanation:
Substituting the given variables into the word problem, we have two equations:
3x +3y = -15
6x -3y = -21
Adding these equations eliminates y:
9x = -36
x = -4 . . . . divide by 9
Using this in the first equation, we have ...
3(-4) +3y = -15
-4 +y = -5 . . . . . divide by 3
y = -1 . . . . . . . . . add 4
The smaller number is -4; the larger is -1.
convert 565900 seconds into days
Answers
Answer:
1 day = 86400 seconds
565900 divided by 86400 =
Step-by-step explanation:
a little more than 6 days
plz mark brainliest
Help. This is graded lol. Also due in 1 hour soooooo pls go quick. Also explain, since I actually wanna know how to do this.
40 POINTS ON THE LINE (idk if that's a lot)
Answers
1. 47
2. 119
3. 97
4. 62
explanation:
1. 180-133= 47
2. they’re vertical angles, so they’re equal
3. 180-83= 97
4. set the two expressions equal to each other and solve
8x-34 = 5x+2
x= 12
plug in 12 for x
5(12)+2
to get
62
Answer:
[tex]m\angle1 =47^o[/tex]
[tex]m\angle2 =119^o[/tex]
[tex]m\angle ABC =97^o[/tex]
[tex]m \angle FED = 62^o[/tex]
Step-by-step explanation:
angle 1 and the angle 133 degrees are supplementary angles, then added should give 180 degrees.
angle1 + 133 = 180 then angle1 = 180-133 = 47 degrees
[tex]m\angle1 = 180^o - 133^o=47^o[/tex]
Angle 2 is of the same measure as the angle marked as 119 degrees since they are what is called "corresponding angles between parallel lines."
Angle ABC plus angle that measures 83 degrees should add to 180 since their sum gives a straight line, then:
ABC + 83 = 180
ABC = 180 - 83 = 97 degrees
Last image:
The two angles with algebraic denomination should be equal because they are alternate internal angles, Then this equality can be written as:
8 x - 34 = 5 x + 2
solve for x by subtracting 5 x from both sides:
3 x - 34 = 2
add 34 to both sides:
3 x = 2 + 34
3 x = 36
x = 36/3
x = 12
and now knowing x we can find angle DEF
DEF = 5 x + 2 = 5 (12) + 2 = 60 + 2 = 62 degrees
On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 10 kg weighs 80 N. Calculate the mass of another object that weighs 72 N.
Answers
Answer:
9kg
Step-by-step explanation:
If a 10kg object exerts a weight of 80N, it means that the gravitational acceleration is 8N/kg. This means that the weight of an object will be 8x its mass. So, if we want to find an object's mass from its weight, we simply need to divide it by 8. 72/8=9. The other object has a mass of 9kg.
Hope this helped!
Which 2 subjects are 2 unit apart
Answers
Answer:
I believe that your answer is C and Moon.
estimate for 389 × 4=
Answers
Answer:
1556
Step-by-step explanation:
389 times 4 is 1556
Answer:
Step-by-step explanation:
First let’s do normal multiplication
389*4=1556
Now let’s estimate
2000(whenever you estimate a number, you just round it up to the highest place in the number)
Find the LCD of the given rational equation:
Answers
Answer:
The correct answer is: D
Step-by-step explanation:
Consider the domain, which in this case x cannot be equal to -4 and -2.
The LCD of the rational equation is (a) (x + 4)(x + 2)(x - 2)
How to determine the LCD?The rational equation is given as:
[tex]\frac{x}{x + 4} + \frac{x - 1}{x + 2} = \frac{3}{x^2 + 2x - 8}[/tex]
Factorize the denominator of the fraction on the right hand side
[tex]\frac{x}{x + 4} + \frac{x - 1}{x + 2} = \frac{3}{(x - 2)(x + 4)}[/tex]
Write out the common factors in the denominator
LCD = (x + 4)(x + 2)(x - 2)
Hence, the LCD of the rational equation is (a) (x + 4)(x + 2)(x - 2)
Read more about rational equation at:
https://brainly.com/question/1851758
#SPJ2
Darnell uses 1 1/4 packages of beads to make 10 bracelets. He wants to make 25 bracelets. How many packages of beads will he use?
Answers
Answer:
I believe the answer is 3 1/8
Step-by-step explanation:
Since he uses 1 1/4 packages just to make 10, we can start with him making the 20. That would mean he uses 2 1/2 packages. Now all we have left is the 5 in 25. 5 is half of 10 and since you use 1 1/4 to make 10 bracelets, use half of it to make 5. Add up all the package use and you get 3 1/8. This was kinda rushed so I'm not 100% sure, but I'm like 95% sure. Hope this helps!
3¹/₈ packages of beads are required to make 25 bracelets
What is proportion ?
A proportion is an equation based on the equality of two ratios.
Here it is given that :
Darnell uses 1 1/4 packages of beads to make 10 bracelets that is :
1 ¹/₄ = 5/4 packages of beads requires to make = 10 bracelets
Now, divide both side by 10 we get :
to make 1 bracelets = 5/40 = 1/8 packages of beads are required
Now, to find the numbers packages of beads to make 25 bracelets multiply both side by 25 :
to make 25 bracelets = 25/8 = 3¹/₈ packages of beads are required.
Therefore, 3¹/₈ packages of beads are required to make 25 bracelets
Read more about ratio at:
https://brainly.com/question/17869111
#SPJ5
Emilia made fewer than 27 bracelets last week. The variable b represents the number of bracelets. The inequality b less-than 27 describes the number of bracelets that Emilia made. Which could be a solution to the inequality?
26
29
33
40
Answers
Answer:
26
Step-by-step explanation:
26 is the only thing less than 27
Answer:
26
Step-by-step explanation:
Find an equivalent ratio in simplest terms 44:80
Answers
Answer:
11:20
Step-by-step explanation:
Divided by 4
Find The Difference.
1)5-15=
2)-13-7=
3)-19-7=
4)36-(-12)=
5)-29-(-11)=
6)-7-(-5)
Answers
Answer:
-10
-20
-26
48
40
-2
Step-by-step explanation:
I used a calculator to make sure
Lines A and CD (if shown) are straight lines. Find x. Give reasons to justify your solutions.
Please Write in a form like the table below.
Answers
Answer/Step-by-step explanation:
STATEMENT ====> REASONS
1. m<AOB = 180° ==> 1. Definition of straight angle
2. m<AOF + m<FOG + m<GOB = m<AOB ==> 2. Angle Addition Postulate
3. (5x - 15)° + 90° + 2x = 180° ==> 3. Substitution
4. Solve as algebra to get x
5x - 15 + 90 + 2x = 180
Collect like terms
5x + 2x - 15 + 90 = 180
7x + 75 = 180
Subtract 75 from both sides
7x + 75 - 75= 180 - 75
7x = 105
Divide both sides by 7
7x/7 = 105/7
x = 15 ===> 4. Algebra
Line M passes through the points (-5, 9) and (-1, 9) which is true of line M?
A: line M is a vertical line with an undefined slop
B: line M is a vertical line with a slope of zero
C: Line M is a horizontal line with an undefined slope
D: Line M is a horizontal line with a slope of zero
Answers
Answer:
D: Line M is a horizontal like with a slope of zero
Step-by-step explanation:
A vertical line would have the same x-value for coordinates but different y-values. It would also have an undefined slope.
Therefore, we can rule out A and B.
A horizontal line always has different x-values but the same y-value. It would also have a slope of zero.
Therefore, C is wrong and D is our answer.
Let's first find the slope of the line.
We can do this using the slope formula.
m = y₂ - y1 / x₂ - x₁
We take the second y minus the first y over the second x minus the first x.
So we have 9 - 9 / -1 - (-5).
So we have 0 / 4 which is 0.
So the slope of our line is zero.
We can eliminate any choices that say the slope is undefined.
Now, if we have a slope of zero, the line is flat or horizontal.
So we know line M has to be a horizontal or flat line with a slope of zero.
So our answer is D.
Three high school participated in a study to evaluate the effectiveness of a new computer-based mathematics curriculum. Four 24-student sections of freshman algebra were available for the study. The two types of instruction (standard curriculum, computer-based curriculum) were randomly assigned to the four sections in each of the three schools. At the end of the term, a standard mathematics achievement test was given to each of the 24 students in each section.
a. Is this study experimental, observational, or mixed experimental and observational? Why?
b. Identify important factors, factor levels, and/or factor-level combinations.
c. Classify these factors as within- or between-subjects
d. what’s the dependent measures?
e. What is the basic experiment unit of study?
Answers
Answer:
A) experimental
B) The important factors are : Type of instruction, scores and High schools,
The factor levels are :
Level -1 which comprises of 3 highschool,
Level -2 which comprises of highschool and the highschool has 4 sections and each section has 24 students
Factor level combinations:
Level 1 : computer and standard based combination
C) Within the subject : 24 students
Between subject : High school
D) score of the test
E) student
Step-by-step explanation:
A) The study is experimental because of the random assignment of two different types of instruction to the students which will control/affect the technique of teaching without just observing the performance of the students from the side
B) The important factors are : Type of instruction, scores and High schools,
The factor levels are :
Level -1 which comprises of 3 highschool,
Level -2 which comprises of highschool and the highschool has 4 sections and each section has 24 students
Factor level combinations:
Level 1 : computer and standard based combination
C) Within the subject : 24 students
Between subject : High school
D) The dependent measure is the score of the test
E) The basic experiment unit of the study is : student
I mark as brainliest
Answers
The second answer
Explain:
if you count the grid, it's 8 right and 5 up from the dentist to his house
help with this immediatey please
Answers
Answer:
100 degrees
Step-by-step explanation:
60+40 makes the whole angle ABC
ANSWER
B.
STEP BY STEP
the product of -4 and a number is 36 find the number?
Answers
Answer:
32
Step-by-step explanation:
if you add 4- + 36 it's exactly the same as saying 4 - 36 = 32
pls mark brainlest for real :,,(
What’s the value of y in this picture
Answers
Answer: A 83
Step-by-step explanation:
Add 46 to 51 then subtract from 180 to get the correct answer(83)
Select all choices that describe rectangles with same area that are NOT congruent.
Answers
Answer:
Where are the options? This is kinda broad..
Answer:
Step-by-step explanation:
PLEASE HELP ME ON ALL ASAP!!!! I WILL GIVE BRAINLIEST!!!
Answers
Answer:0=16 1=23 2=30 3=37 4=44
Step-by-step explanation:
An object is moving at a speed of 4 miles every 9 hours. Express this speed in meters per day. Round your answer to the nearest whole number.
Answers
Answer:
17166 m/days
Step-by-step explanation:
1 mile = 1609.34 m
4 miles = 1609.34×4
= 6437.38m
1 hour = 0.0416667
9 hours = 9 × 0.0416667
= 0.375 days
Speed= (6437.38/0.375) m/days
= 17166.34667 m/days
= 17166 m/ days ( nearest whole number)
A number, n, is greater than -4 and less than or equal to 6.
Answers
Answer:
-3-,2,-1,0,1,2,3,4,5
Step-by-step explanation:
-4<n<6
A rectangle has side lengths 6 cm and 9 cm. What would the side lengths of the image be after a dilation of 2.25? Explain your reasoning.
Answers
Answer:
The side lengths of the image after the dilation = 13.5 cm and 20.25cm
Step-by-step explanation:
A rectangle has side lengths 6 cm and 9 cm. What would the side lengths of the image be after a dilation of 2.25? Explain your reasoning.
Dilation can also be referred to as scale factor
6cm × 2.25 = 13.5 cm
9 cm × 2.25 = 20.25 cm
The side lengths of the image after the dilation = 13.5 cm and 20.25cm
the set
of whole number less than 20
Answers
Answer:
maybe 3, 6, 9, 12, 15, 18?
Step-by-step explanation:
sorry if this doesn't help but I hope someone else can help you! good luck