Answer: The fraction of the original allowance does she plan to save = [tex]\dfrac16[/tex]
Step-by-step explanation:
Let x = original monthly allowance
Monthly allowance left = [tex]\dfrac23x[/tex]
She plans to save = [tex]\dfrac14[/tex] of (Monthly allowance left)
= [tex]\dfrac14\times\dfrac23x[/tex]
[tex]=\dfrac{2}{12}x\\\\=\dfrac{1}{6}x[/tex]
i.e. the fraction of the original allowance does she plan to save = [tex]\dfrac16[/tex]
Bobinvested$6500intoamutualfund with 3.5% monthly interest rate. What is the balance in the account after one month?
Answer:
$6727.50
Step-by-step explanation:
35/1000*6500
= 35*6.5
=227.50
6500+217.50
6727.50
un auto de carreras puede frenar a razón de -8.0m/s2.
a.si viaja a 38m/s,¿cuantos metros recorrerán antes de detenerse.?
b.¿cuantos metros recorrerán si viaja a 75m/s?
Answer:
25 i used g00gle trans
Step-by-step explanation:
joan worked 6 hours on monday, 4 hours on wendsday and hours and 8 hours on friday. her gross pay for all 3 days was $130.50. what was her hourly rate
Answer:
Step-by-step explanation:
in the diagram shown, which angle pairs form complementary angle
Answer: angle DBE & angle ABD and angle EBF & angle FBC
Step-by-step explanation:
complimentary angles add up to 90 degrees, so just find the pairs of angles that add up to 90 degrees.
Help please :>
Convert 108 km/hr into m/s
Answer:
hello :) the answer is 30 m/s
Answer:
30m/s
Step-by-step explanation:
Convert km to m:
108 —> 108000
Convert hr to s
1 —> 3600
Now put them back into their place in the fraction: 108000/3600
Simply the fraction: 30m/s
Jack spends 15% of his pocket money on sweets and 35% on magazines.He saves the rest.Work out how much he spends and saves each week
I WILL MARK BRAINLIEST
Answer:
I think the answer would be the very first one.
they all need to have '' ( ) '' in them.
if a number is outside of that, it needs to at least have a letter beside the number
here's an example
Factored form:
2x(x + y)
not factored:
2(x - y)
but for the first one, it's correct from the rest of them.
Expressions that simlify to the same expression are called
Answer:
Eqivelent expressions
Step-by-step explanation:
also dis
Another chance for brainliest if it correct ! Please help
Answer:
Step-by-step explanation:vdcdcdcdcdc
-6, 12 ,-24 ,48 what would be the next term in this sequence (help ASAP please )
A cyclist travels at an average speed of 13 mph for 3 hours.
How far did she travel in miles?
Answer:
39 miles
Step-by-step explanation:
We know that a cyclist travelled at an average rate of 13 miles per hour for 3 hours and are asked to how far she travelled in miles.
To solve, we need to take into mind that for three hours, the cyclist drove 13 miles per hour.
Meaning that for every hour, 13 miles were driven.
Therefore we need to multiply 13 by 3 to get our answer :
13 miles * 3hrs
39 miles
What does 43/12 is equivalent too?
Hi there!
Fractions can be equivalent to a lot other fractions...
Explanation:
43/12x2 would be 86/24 so that would be equivalent.
Let do another one..
43/12 when doing this, you can decide to divide or not but this is in the simplest form already so we can just multiply 43 and 12 with anything we want so let do... 5.
So 43 multiply by 5 would be..215 and 12x5 would be 60. So another equivalent fractions that’s the same as 43/12 or we can say 86/24 is 215/60.
I also added how I got the equivalent fractions just in case you don’t understand still...
Solve for k:
17/3k - 2 = 4/3(4k + 2)
Answer:
k = 14
hope it's helpful ❤❤❤❤❤
THANK YOU.
Answer fasttt plsssssss
Answer:
25ax25b= 625
A mountain climber climbed down a cliff 10 metres at a time. He did this 5 times in one
day. What was the overall change in his elevation?
-50m
150m
-150m
50m
Answer:
-50 m
Step-by-step explanation:
its negative elevation because he is going down
Solve the equation. Check your solutions.
|4b+4|=|2b+8|
Answer:
b = 2 or b = -2Explanation:
|4b + 4| = |2b + 8|
Solve absolute value
|4b + 4| = |2b + 8|
Either 4b + 4 = 2b + 8 or 4b + 4 = −(2b + 8)
4b + 4 = 2b + 8 (Possibility 1)
4b + 4 − 2b = 2b + 8 − 2b (Subtract 2b from both sides)
2b + 4 = 8
2b + 4 − 4 = 8 − 4 (Subtract 4 from both sides)
2b = 4
2b / 2 = 4 / 2 (Divide both sides by 2)
b = 2
4b + 4 = −(2b + 8) (Possibility 2)
4b + 4 = −2b − 8 (Simplify both sides of the equation)
4b + 4 + 2b = −2b − 8 + 2b (Add 2b to both sides)
6b + 4 = −8
6b + 4 − 4 = −8 − 4 (Subtract 4 from both sides)
6b = −12
6b / 6 = -12 / 6 (Divide both sides by 6)
b = -2
b = 2 or b = -2a) What is the name of the line marked a?
b) What is the name of the line marked b?
c) What is the name of the line marked c?
d) What is the name of the line marked d?
Answer:
Step-by-step explanation:
raduis and diameter.
What two numbers are located 3/4 unit from 1/10 on a number line?
Answer:
-13/20 and 17/20Step-by-step explanation:
The numbers are either side from 1/10
To the left:
1/10 - 3/4 = 2/20 - 15/20 = -13/20To the right:
1/10 + 3/4 = 2/20 + 15/20 = 17/20Todoroki's training practice starts at 9:45 A.M and ends at 12:35 P.M. How long is Todoroki's training practice?
Answer:
2 hours and 9 minutes
Step-by-step explanation:
2-10n more math homework :|
Step-by-step explanation:
Yea we need more information.
Identify the correct explanation for why the triangles are similar. Then find OP and MN.
Options:
A. ∠M≅∠N. Since OP¯¯¯¯¯∥MN¯¯¯¯¯¯¯, ∠LOP≅∠LMN by the Alt. Int. ∠s Thm. Therefore, △LOP∼△LMNby AA∼. OP=8 and MN=4.
B. ∠L≅∠L by the Reflex Prop. of ≅. Since OP¯¯¯¯¯∥MN¯¯¯¯¯¯¯, ∠LOP≅∠LMN by the Corr. ∠s Post. Therefore, △LOP∼△LMNby AA∼. OP=2 and MN=6.
C. ∠L≅∠L by the Reflex Prop. of ≅. Since OP¯¯¯¯¯∥MN¯¯¯¯¯¯¯, ∠LOP≅∠LMN by the Corr. ∠s Post. Therefore, △LOP∼△LMNby AA∼. OP=4 and MN=8.
D. ∠M≅∠N. Since OP¯¯¯¯¯∥MN¯¯¯¯¯¯¯, ∠LOP≅∠LMN by the Alt. Int. ∠s Thm. Therefore, △LOP∼△LMNby AA∼. OP=2 and MN=6.
Answer:
The correct explanation is option B;
B. ∠L ≅ ∠L By Reflexive Prop. ≅.
Since [tex]\overline {OP}[/tex] ║ [tex]\overline {MN}[/tex], ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6
Step-by-step explanation:
The given parameters are;
[tex]\overline {LP}[/tex] = 5
[tex]\overline {NP}[/tex] = 10
[tex]\overline {LN}[/tex] = [tex]\overline {LP}[/tex] + [tex]\overline {NP}[/tex] = 15
[tex]\overline {OP}[/tex] = x - 3
[tex]\overline {MN}[/tex] = x + 1
A two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
∠L ≅ ∠L [tex]{}[/tex] By Reflexive property of congruency
[tex]\overline {OP}[/tex] ║ [tex]\overline {MN}[/tex] [tex]{}[/tex] Given
∠LOP ≅ ∠LMN [tex]{}[/tex] By the Corresponding angles Postulate
Therefore
ΔLOP ~ ΔLMN [tex]{}[/tex] By AA similarity Postulate
Where we have that ΔLOP and ΔLMN, we get;
[tex]\overline {OP}[/tex]/[tex]\overline {MN}[/tex] = [tex]\overline {LP}[/tex]/[tex]\overline {LN}[/tex] = 5/15 = 1/3
∴ (x - 3)/(x + 1) = 1/3
3·(x - 3) = 1·(x + 1)
3·x - 9 = x + 1
3·x - x = 1 + 9 = 10
2·x = 10
x = 10/2 = 5
x = 5
[tex]\overline {OP}[/tex] = (x - 3) = 5 - 3 = 2
[tex]\overline {OP}[/tex] = 2
[tex]\overline {MN}[/tex] = x + 1 = 5 + 1 = 6
[tex]\overline {MN}[/tex] = 6
Therefore, the correct option is ∠L ≅ ∠L By Reflexive Prop. ≅.
Since [tex]\overline {OP}[/tex] ║ [tex]\overline {MN}[/tex], ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6.
Evaluate 3√343 + 3/4 3√-8
Answer:
5 1/2 is the answer, hope this helps
Three times a larger number is 30 more than 5 times a smaller number. The sum of the larger number and 5 times the smaller number is 50
Answer: Smaller number = 6
Larger number = 20
Step-by-step explanation:
Let the smaller number be x.
Let the larger number be y.
Three times a larger number is 30 more than 5 times a smaller number. This will be:
3 × y = (5 × x) + 30
3y = 5x + 30 ...... i
The sum of the larger number and 5 times the smaller number is 50. This will be:
y + 5x = 50 ...... ii
From equation ii
y + 5x = 50.
y = 50 - 5x ...... iii
Put the value of y = 50 - 5x into equation i
3y = 5x + 30
3(50 - 5x) = 5x + 30
150 - 15x = 5x + 30
150 - 30 = 5x + 15x
120 = 20x
x = 120/20
x = 6
The smaller number is 6
Note that y + 5x = 50
y + 5(6) = 50
y + 30 = 50
y = 50 - 30
y = 20
The bigger number is 20
Please someone help me
What is the slope? ASAP!!!
Answer:
2/1 I think but i don't know
Tom has ⅞ cup of olive oil. He uses ½ cup to make salad dressing and ¼ cup to make tomato sauce. How much olive oil does Tom have left?
Answer:
1/8 cup left
Step-by-step explanation:
Starts with 7/8
Uses 1/2 which equals 4/8
Then uses another 1/4 which equals 2/8
4/8+2/8 is 6/8 so he uses 6/8 of olive oil
He has 7/8 and uses 6/8 so 7/8-6/8 quals 1/8
please help me !!!!!
Answer:
61 feet
Step-by-step explanation:
We can use the pythagorean theorem to solve this answer (a^2 + b ^2 = c^2, c= longest length)
50^2 + 35^2 = 61.03.
Rounded to the nearest whole number, the answer is D.
Answer:
C
Step-by-step explanation:
It's a right triangle so you can use a squared +b squared =c squared
a and b are the legs of the triangle which in this case are 50 and 25 feet.
Plug them into the equation:
50^2+25^2=c^2
50 squared = 2,500
25 squared = 625
2,500 + 625= 3,125
so c squared is 3,125. To get c you need the square root which is ~55 feet
solve the problem for number 13.
Answer:
m ∠Y = 39°
Step-by-step explanation:
The sum of all angles in a triangle is 180°, so you just have to add m∠Z and m∠X, which will be 113 + 28 = 141. 180 - 141 = 39°
Answer:
if the shape is a triangle, just find the 3rd number and they should all add to 180 degrees.
What is the greatest common factor (GCF) of 12x and (3x^2 + 6x)?
(B) 3x
(C) X + 2
(D) 3x(x + 2)
(A) 3
pls help me for brainless
and 60points
Answer:
2nd
Step-by-step explanation:
Answer:
the orange one
Step-by-step explanation:
3x^2+x-2
3x^2 cant be broken down more because its a prime number. the only thing that can change is the x^2. the main difference between the blue and orange one is that the blue one has the second sign incorrect.
