Answers
Answer:
Elizabeth had 30 stamps originally.
Step-by-step explanation:
Let,
x be the number of stamps Elizabeth have.
Number of stamps given to John = 1/6 of x = [tex]\frac{1}{6}x[/tex]
Remaining stamps = [tex]x-\frac{1}{6}x = \frac{6x-1x}{6} = \frac{5}{6}x[/tex]
Stamps given to Peter = 1/5 of remainder = [tex]\frac{1}{5}*\frac{5}{6}x = \frac{1}{6}x[/tex]
Number of stamps left = 20
Now,
[tex]\frac{1}{6}x + \frac{1}{6}x + 20 = x\\\\\frac{1x+1x+120}{6} = x\\\\\frac{2x+120}{6} = x\\\\2x + 120 = 6x \\\\120 = 6x - 2x \\\\120 = 4x \\4x = 120[/tex]
Dividing both sides by 4
[tex]\frac{4x}{4}=\frac{120}{4}\\x=30[/tex]
Hence,
Elizabeth had 30 stamps originally.
Related Questions
expand and simplify (x+3)(x+5)
Answers
everyday finn brushes his teeth 3 times , for 2 min each time , he flosses twice a day , for 5 minutes each time. In a year , how much time does finn spend brushing and flossing his teeth?
Answers
Answer:
5,840 minutes
Step-by-step explanation:
Assuming there are 365 days in a year. If finn brushes his teeth 3 times , for 2 min each time then the time spent to brush his teeth in a day
=3 * 2 minutes
= 6 minutes
If he flosses twice a day , for 5 minutes each time, then the time spent in a day to floss
= 2 * 5 minutes
= 10 minutes
Hence total time spent in a day brushing and flossing
= 6 + 10
= 16 minutes
Hence the time spent in a year brushing and flossing
= 16 * 365
= 5,840 minutes
Please convert these! (Scientific Notation)
Answers
Answer:
Below
Step-by-step explanation:
1.
[tex]4.2*10^{-1}[/tex]
2.
[tex]2.875*10^{3}[/tex]
3.
[tex]1.4031 *10^{6}[/tex]
4.
[tex]8.3*10^{-2}[/tex]
If you need help understanding why you move the decimal places, you can ask in the comments. :).
A movie theater sold 64 Hckets. of the tickets sold were adult tickets. How many adult tickets were sold?
Answers
Answer:
Adult tickets are $24 each and children tickets are $13 each.
Step-by-step explanation:
I know
i need help which slope.and y-intercept
Answers
A.slope:-0.0018 and y intercept:212
Please help which one isnt a function pleasee
Answers
Answer:
the answer is B
Step-by-step explanation:
B is not a function it is a chart
(goin off off what i was told in middle school)
5. Simplify the expression by combining like terms. 16c+5e+10e+4
A. 16c+5e+4
B. 17ce
C. 11c+10e+4
D. 16c+15e+4
Answers
Rectangle FGHJ has diagonals FH and JG that intersect at M. If FJ=−3x+5y, FM=3x+y, GH=11, and GM=13, find the values of x and y. Explain your answer.
Answers
Answer:
x=3 y=4
Step-by-step explanation:
-3x + 5y = 11
+ 3x + y = 13
Add the equation (add the 5y and y. Then add the 11 and 13). The threes cancel each other out. It then leaves us with the equation:
6y = 24
Divide both sides by 6 to isolate the variable.
y=4.
Then just substitute the variable into any of the equations above. (I chose the equation on top)
-3x + 5(4) = 11
Then solve
-3x + 20 = 11 (then subtract 20 from both sides)
-3x = -9 (then divide both sides by -3)
x=3
The scale of a drawing is 2cm : 1 mm. Is the scale drawing larger or smaller than the actual object? EXPLAIN in ONE sentence.
Answers
Answer:
Scale drawing is Larger
Step-by-step explanation:
There are 10mm in one cm, so scale drawing is larger than original by factor of 10.
?????????????????????
Answers
Answer:
x = 43.5°
Step-by-step explanation:
The sum of the angles around a point = 360°
sum the angles and equate to 360
x + x + 72 + 111 + 90= 360
2x + 273° = 360° ( subtract 273° from both sides )
2x = 87° ( divide both sides by 2 )
x = 43.5°
Answer:
Sum of the angles around a given point is 360°.
[tex]x + x + 72 + 90 + 111 =360 \\ 2x + 273 = 360 \\2x = 360 - 273 \\ 2x = 87 \\ x = \frac{87}{2} \\ \boxed{x = 43.5°}✓[/tex]
★ x=43.5° is the right answer.help I will mark brainliest for the person who answers them correct.
Answers
1. (bh)/2 or (4 x 3)/2 = 6
2. (8 x 12)/2 = 48
3. (11.25 x 15.6)/2 = 87.75
4. (9 x 10)/2 = 45
please help!!
What is d to the nearest hundredth?
Answers
х
Solve for x.
43°
22
Answers
4. A square pyramid has
measures 8 inches on each side. The height
of the pyramid is 11.5 inches. Determine the
volume of the pyramid.
volume:
Answers
Answer:
[tex]V = 245\frac{1}{3} in^{2}[/tex]
Step-by-step explanation:
The volume of a pyramid is equal to the area of the base times height divded by three so
[tex]V = \frac{A_{base} h }{3} \\V = \frac{(8^{2})(11.5) }{3} \\V = \frac{736}{3} \\V = 245\frac{1}{3} in^{2}[/tex]
Answer:
245 1/3
Step-by-step explanation:
Here is part of a train timetable - check picture.
Answers
2.1 hour 42 mins
Can anyone please help me with this with an explanation
Answers
Answer:
x=6
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
5x+4x−68=34−8x
5x+4x+ −68=34+ −8x
(5x+4x)+(−68)=−8x+34(Combine like terms)
9x+−68=−8x+34
9x−68=−8x+34
Step 2: Add 8x to both sides.
9x −68+ 8x= −8x +34 +8x
17x −68 =34
Step 3: Add 68 to both sides.
17x −68 +68= 34 +68
17x=102
Step 4: Divide both sides by 17.
17x /17= 102/17
X=6 > final answer hope i could help :)
Step-by-step explanation:
Let's step through this line by line, looking for a spot where the friend could have made a mistake.
[tex]5x+4x-68=34-8x\\5x+4x=102-8x\\5x+4x+8x=102\\17x=102\\x=6[/tex]
So, where could the friend have made their mistake? The key here is the transition from step 1 to step 2. What if we had subtracted 68 instead of adding it?
[tex]5x+4x-68=34-8x\\5x+4x=-34-8x\\5x+4x+8x=-34\\17x=-34\\x=-2[/tex]
There it is. The friend's problem was that they had accidentally subtracted 68 to both sides when they should have added it.
The vertices of quadrilateral MNPQ are M(−3,−2),N(−1,4),P(2,4), and Q(4,−2). Translate quadrilateral MNPQ using the vector ⟨3,−4⟩.
Answers
Answer:
M'(0,-6),N'(2,0),P'(5,0) and Q'(7,-6)
Step-by-step explanation:
We are given that the vertices of quadrilateral MNPQ are M(-3,-2),N(-1,4),P(2,4) and Q(4,-2).
We have to translate the quadrilateral MNPQ using vector <3,-4>
The translate the coordinates of vertices (x,y) using the vector <a,b> is given by the rule
[tex](x,y)\rightarrow (x+a,y+b)[/tex]
Using the rule
The new coordinates of M
[tex](-3,-2)\rightarrow (-3+3,-4-2)[/tex]
[tex](-3,-2)\rightarrow (0,-6)[/tex]
The new coordinates of N
[tex](-1,4)\rightarrow (2,0)[/tex]
The new coordinates of P
[tex](2,4)\rightarrow (5,0)[/tex]
The new coordinates of Q
[tex](4,-2)\rightarrow (7,-6)[/tex]
Hence, after translation the new vertices of quadrilateral are
M'(0,-6),N'(2,0),P'(5,0) and Q'(7,-6)
HELP PLS I WILL MARK BRAINLIEST!!!!
Answers
Answer:
1=1
2=1
3=1
4=0
5=0
6=0
7=0.
Hope It Helps!
0
1
0
1
0
Do it in order :)
Which expression is equivalent to the given expression? Assume the denominator does not equal zero.
https://app.edmentum.com/mimetex/mimetex?\fs3%5Cfrac%7B14x%5E%7B4%7Dy%5E%7B6%7D%7D%7B7x%5E%7B8%7Dy%5E%7B2%7D%7D
Answers
ok so basically i got =2rx8y9
Find the equation of the straight line passing through the points (–2, 3) and parallel to y=2x-1
Answers
Answer:
[tex]y=2x+7[/tex]
Step-by-step explanation:
All parallel lines have the same slope, so in slope intercept form, our line is going to look like
[tex]y=2x+b[/tex]
To find b, we can plug in the x and y values from the given point (-2, 3) and solve:
[tex]3=2(-2)+b\\3=-4+b\\b=7[/tex]
So our equation becomes
[tex]y=2x+7[/tex]
Jan is having the walls of her house painted. The cost depends on the area of the walls. Which is the dependent variable, and which is the independent variabl
Answers
Answer: The dependent variable is the cost, and the independent variable the area of the walls.
Step-by-step explanation:
-Hope this helps <3
Answer:^^^^ what the other person said the dependent variable is the cost and the independent variable is the area of the walls
Step-by-step explanation:
(-5,-1); 2y=2x-4 help me ASAP please
Answers
(-5, -1) is not a solution to the equation 2y = 2x - 4.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We have,
2y = 2x - 4 _____(1)
Ordered pair: (-5, -1)
Now,
(-5, -1) = (x, y)
Substitute in (1)
2y = 2x - 4
2 x (-1) = 2 x (-5) - 4
-2 = -10 - 4
-2 = -14
This is not true.
Thus,
(-5, -1) is not a solution.
Learn more about solutions of equations here:
https://brainly.com/question/545403
#SPJ1
Find the GCF 8x^3-12x^2+4x
Answers
Answer:
4x
Step-by-step explanation:
Given triangle ABC AB=BC=AC=a find the area of ABC
Answers
Pleas help I’m giving a lot of points away
Answers
Answer:
interestinggggggggggggg
Solve 7+2x over 3 = 5
Please and thank you! x
Answers
Answer:
x = 4
Step-by-step explanation:
(7 + 2x) / 3 = 5
Cross product
7 + 2x = 5 * 3
7 + 2x = 15
Subtract 7 from both sides
2x = 15 - 7
2x = 8
Divide both sides by 2
x = 8/2
x = 4
A bake sale has 5 brownies for sale. Each brownie was cut into 4 slices. Each slice was sold for $7. What was the total amount earned for the sale of all the brownies?
Answers
Answer:
140
Step-by-step explanation:
5 times 4 is 20 which is the amount of browiners 20 times 7 is 140
Answer:
140$
Step-by-step explanation:
muliplication
4x5=20
20x7=140
A town has a population of 2000 and grows at 4.5% every year. To the nearest
tenth of a year, how long will it be until the population will reach 3900?
Answers
Could someone answer and explain question 10?
Answers
A histogram titled Number of payphones has date on the x-axis and payphones on the y-axis. From 1981 to 1985 there were 160 payphones, 1986 to 1990: 190, 1991 to 1995: 200, 1996 to 2000: 210, 2001 to 2005: 55, 2006 to 2010: 45.
The histogram shows the number of payphones that were active by year in a large city. How many payphones would you expect to be active between 1976 and 1980?
A.) over 200
B.) between 150 and 200
C.) between 50 and 100
D.) fewer than 50
Answers
Answer:
b
Step-by-step explanation:
this is the most likely answer because from '81 to '00 there were between 150-200, so it is also likely in this range