Answer:
We find the fraction of a number by doing two steps: first, multiply the whole number by the numerator, and then divide the product we get by the denominator.
multiplying fraction by a number
Let's solve real-world problems about fractions of a number.
Word Problem Examples
cookies
Jane baked 24 chocolate chip cookies. She gave 1/3 of the cookies to her neighbor. How many cookies did she give to her neighbor?
What is the problem asking us to do?
That's right!
We need to figure out what 1/3 of 24 is.
1/3 of 24 is the same as this:
24 × 1/3 = ?
First, multiply 24 by the numerator:
24 × 1 = 24
Then, divide the product we got by the denominator:
24 ÷ 3 = 8
✅ Now we know that she gave 8 cookies to her neighbor.
Here are more questions about this problem:
Of the cookies that were left, Jane gave 3/4 to her parents, and she ate the rest. How many cookies did she give to her parents? How many cookies did she eat?
The problem tells us to figure out two things:
- the number of cookies that Jane gave to her parents,
- the number of cookies that Jane ate.
But first, we have to find out how many cookies were left, after Jane gave some away to her neighbor.
She started with 24 cookies and gave 8 cookies away.
Let's subtract:
24 - 8 = 16 cookies
So, Jane had 16 cookies left.
How many cookies did Jane's parents get if she gave them 3/4 of 16?
3/4 of 16 is the same as this:
16 × 3/4 = ?
First, multiply 16 by the numerator:
16 × 3 = 48
Then, divide the product we got by the denominator:
48 ÷ 4 = 12
✅ Jane gave 12 cookies to her parents.
Now, let's find out how many cookies Jane ate.
We know that Jane ate all the cookies that were left.
She had 16 cookies. Then, she gave 12 to her parents.
How many are left?
We need to subtract to figure this out:
16 - 12 = 4
✅ Jane ate 4 cookie
She baked 48 cookies in total as obtained by forming a numerical expression of the statement.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given that, Angela baked x cookies.
She gave 1/3 of them to her sister, and she put 5/8 of 5/8th of the remaining cookies in the freezer.
∴ x - (1/3)x - (2/3)×(5/8)x = 12.
x - (1/3)x - (5/12)x = 12.
(2/3)x - (5/12)x = 12.
(8x - 5x)/12 = 12.
3x = 144.
x = 48
learn more about numerical expressions here :
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The circle shown has a radius of 12 mm
12 mm
What is the circumference of the circle?
A. 6 mm
B. 120 mm
C. 2410 mm
D. 36 mm
Circumference = 75.36 mm
The graph of the equation x + 2y = 8 intersects
the y-axis at the point whose coordinates are
compare -1.5 and -4.5
Answer:
-3
Step-by-step explanation:
There's a three point distance between the two on a coordinate plane
Help me please and thx
Jordan is, ordering a taxi from an online taxi service. The taxi charges $4 just for the
pickup and then an additional $2 per mile driven. How much would a taxi ride cost if
Jordan is riding for 2 miles? How much would a taxi ride cost that is m miles long?
WHAT IS THE COST FOR M MILES ????
Answer: $8
Step-by-step explanation: The equation would be - 4+2m
Which expression is equivalent to (3b + 2r) + (4b +r)?
A. 7b + 2r
B. 7b + 3r
C. 12b + 2r
D. 12b + 3r
Answer:
7b + 3r
Step-by-step explanation:
=3b+2r+ 4b+r
= 3b + 4b+2r+r
= 7b + 3r
5y-10=-25
Whats the answer?
Answer:
y= -3
Step-by-step explanation:
5y-10= -25 add 10 to both sides
5y= - 15 divide by 5
y= -3
HELP WITH 5 & 6 DUE SOON!!!
Answer:
5: All triangles that share those three properties must be congruent.
6: All triangles that share those three properties must be congruent.
Hope this helps, have a great day :)
I need help on this math ASAP. And I need a right answer. I will report random things that don’t relate to the question.
Look at this please! 20 pts
Answer:
is there more to the question
Step-by-step explanation:
ann sells bracelets for $4 each and necklaces for $8 each. which inequality shows x, the number of bracelets, and y , the number of necklaces Ann must sell to make it at least $100
Solve for c.
2 = |C + 2|
someone help pls
Answer:
c =0
Step-by-step explanation:
so if you plus 2and 0 you get 2
5 is 46% of what? Round to the nearest tenth
Answer:
Step-by-step explanation:
10.87
(rounded) 10.9
Solve the inequality. Graph the solution. −9y ≤ 36
Step-by-step explanation:
Divide by -9 to eliminate the -9 on -9y but remember if you divide or multiply by a negative you will need to switch/turn-around the sign
y≥-4
Answer: y≥-4
Find the solution of system of equations.
-6x-9y=-42
6x+5y=10
Answer:
X = -5, y = 8
Step-by-step explanation:
add the two equations together since the x‘s will cancel
-4y = -32
y = 8
then plug 8 in for y and solve
6x + 5(8) = 10
6x + 40 = 10
6x = -30
x = -5
What is the slope of the line represented by:
5x-12y = 24
Answer:
5/12
Step-by-step explanation:
5x - 12y = 24
~Subtract 5x to both sides
-12y = 24 - 5x
~Divide -12 to everything
y = -2 + 5/12x
~Reorder
y = 5/12x - 2
Slope is represent by "m" in slope intercept form [ y = mx + b ]. As we can see m = 5/12 from the given information.
Best of Luck!
PLEASE help me!!! I need help with this problem below.... what is the rule for the sequence 1.8, 2.85, 3.90, 4.95, 6 Please answer this with a clear step by step explanation before tomorrow And help me out! Thanks!
Answer:
The next term is equal to the previous term with an added 1.05.
Step-by-step explanation:
The given sequence is:
1.8, 2.85, 3.90, 4.95, 6
The first term is:
[tex]a = 1.8[/tex]
The second term is:
[tex]a_2 = 2.85[/tex]
The third term is:
[tex]a_3 = 3.90[/tex]
The fourth term is:
[tex]a_4 = 4.95[/tex]
The fifth term is:
[tex]a_5 = 6[/tex]
Let us have a look at the difference of each term:
Second term - First term = 1.05
Third term - Second term = 1.05
Fourth term - Third term = 1.05
Fifth term - Fourth term = 1.05
We can see that there is a common difference between each term of the given sequence.
Therefore, we can conclude that:
The given sequence is an Arithmetic Progression which has the difference of each term as equal.
First term, [tex]a = 1.8[/tex]
Common difference, [tex]d =1.05[/tex]
So, the rule is:
The next term is equal to the previous term with an added 1.05.
Troy is considering two lawn care services. Premier Landscaping charges $15 for travel to Troy's house and $55 per hour for maintaining his lawn. Ace Landscaping does not have a travel fee, but charges $65 per hour for lawn maintenance. Part A Write a system of equations that represent the lawn care services.
Answer:
Cost for Premier Landscaping = [tex]55h+15[/tex]
Cost for Ace Landscaping = [tex]65h[/tex]
Where [tex]h[/tex] is the number of hours spent on lawn care.
Step-by-step explanation:
Given that:
Charges as per Premier Landscaping:
Fixed charges for travel to the house = $15
Per hour charges = $55
Let [tex]h[/tex] be the number of hours for which lawn care is done.
So, Charges for [tex]h[/tex] hours = Per hour charges [tex]\times[/tex] Number of hours =$55[tex]h[/tex]
Therefore, total cost = [tex]55h+15[/tex]
Charges as per Ace Landscaping:
Per hour charges = $65
Let [tex]h[/tex] be the number of hours for which lawn care is done.
Then Charges for [tex]h[/tex] hours = Per hour charges [tex]\times[/tex] Number of hours =$65[tex]h[/tex]
Therefore, system of equations that represent the lawn care services:
Cost for Premier Landscaping = [tex]55h+15[/tex]
Cost for Ace Landscaping = [tex]65h[/tex]
[tex]h>0[/tex]
Where [tex]h[/tex] is the number of hours spent on lawn care.
1057 is not a perfect square
Answer:
Are you asking or telling? Bc it looks like ur telling
Step-by-step explanation:
Alistair has a cube-shaped box that has a volume of 216 cubic inches. What is the edge
length of Alistair’s box?
1. What is the formula for the volume of a cube?
2.If you know the volume of a cube, how do you find its
edge length?
3. How would you write the edge length of Alistair’s box using a
cube root?
4. What is the edge length of Alistair’s box?
Answer:
42, L x W x H, by splitting it in pieces, /alpha /alpha /left / {{y=2}}/rightStep-by-step explanation:
In Mrs. Wilson's math class the ratio of girls to total students is 5 to 8. if there are 24 total students, how many boys are in the class?Can you do step by step please
Answer:
9
Step-by-step explanation:
Your ratio is 5 to 8
We know the total people in the class is 24 students. the total of the ratio (8) times 3 gives us 24! So, we also multiply the 5 by 3, which gives us 15. But its asking how many girls. If there are 15 girls, the rest are boys. So we subtract 24 by 15, which gives us 9
Can someone explain how I answer this
10. Pizzas are $7.50 each plus a $2 delivery fee. Is the cost proportional
to the number of pizzas ordered? What will the cost be for 5 pizzas?
Answer:
$39.55
Step-by-step explanation:
$7.50 times 5= $37.55+$2=$39.55
Answer:
$39.55
Step-by-step explanation:
Can someone give me the answers asap please
Answer:
C. 88.4
Step-by-step explanation:
[(92*4)+(89*2)+(85*2)+90+78]÷10
whats the answer to 6/7 times 21
Answer:
slove 6/7 then times it by 21
Step-by-step explanation:
Does anyone have an answer to this?
Step-by-step explanation:number 4
I have a list of expressions to simplify. pls help!
Answer:
1. 80
2. -13
3. -11
4. 21
5. -18
6. -8
7. -6
8. 2
9. -23
10. 10
11. -36
12. 28
13. 12
14. 9
15. -91
16. -10
17. 12
18. -9
19. 5
20. 44
21. 0.7273
22. -169
23. 15
24. -48
25. -7
26. 2
27. 11
28. -9
29. 104
30. -1
Step-by-step explanation:
Plz mark brainliest thnxxx
helpppppppppppppppp messssss plzzzzzzzzzzzzzzz
Answer:
1=b
2=f
3=d
4=e
5=a
6=b
So tough question dud
Topic 9: Check Your Understanding
Answer:
?
Step-by-step explanation:
Is this a question or-
Answer:
Where is question?
Step-by-step explanation:
........
y = 7 - 3x
Non linear or linear?
Thanks in advance
Answer:
Non linear( it doesn't go through the 0
Step-by-step explanation: