1.
Paul's present age = x
John's present age = 18
Paul's age 4 years ago = x - 4
John's age 4 years ago = 18 - 4 = 14
Also,
Paul's age four years ago was twice that of John's age four years ago.
Therefore,
Paul's age 4 years ago = 2(14)
= 28
Paul's age 4 years ago = x - 4 = 28
x - 4 = 28
x = 28 + 4
x = 32
Therefore, the present age of Paul is 32.
2.
Cost of one bottle of milk = $3.2
Cost of five bottles of milk = $3.2 × 5 = $15
Cost of four bottles of juice = $15 - $4.4
= $10.6
Cost of one bottle of juice = x
= Cost of four bottles of juice
4
= 10.6
4
= 2.56
Therefore, one bottle of juice costs $2.56.
3.
Savings spent on personal ornaments = 1/8
Savings spent on clothing = 5/6
Total savings spent = 1/8 + 5/6
= 3/24 + 20/24
= (3+20)/24
= 23/24
Savings left = 1/24 = $130
Total amount of savings = x
As 130 is one part of the total savings,
Total amount of savings =
x = 130 × 24
x = 3120
Therefore, original amount of savings is $3120.
Solve each equation for the
variable.
n + 3 = 8
4 + w = -8
If I'm 4years and my brother is half of my age now I'm 44 how old is he ?
Answer:
22
Step-by-step explanation:
Can you guys plz help me
Answer:
The segment CD is a diameter . It is 15 cm long.
4(1/2+3/4)+(-2) equals what?
Answer:
3
Step-by-step explanation:
i think
Answer:
[tex]4( \frac{1}{2} + \frac{3}{4} ) - 2 \\ = 4( \frac{2 + 3}{4} ) - 2 \\ = 4( \frac{5}{4}) - 2 \\ = 5 - 2 \\ = 3[/tex]
brainiest to whoever rightt.
Answer:
Perimeter of a square
Step-by-step explanation:
The formula for finding out the perimeter of a square is P = 4s
Evaluate each using the values given.
m-((-3) + p)-q; use m= 10, p=-6, and q = 10
Answer:
9
Step-by-step explanation:
10-((-3) + -6)-10
10-(-9)-10
10+9-10
9
Renaldo can rollerblade 9.7 miles per hour. at this rate, how far will he rollerblade in 0.75 hours?
Answer: 1.125 miles
Step-by-step explanation:
Which number produces a rational number when added to 1/2?
A. 4.35889894...
B. 0.314
C. 12
D. TT
Answer:
B and C
Step-by-step explanation:
A is a non terminating number which means it isn't rational. B and C are both rational and adding 1/2 to them won't change that, since they are terminating numbers. D is not a number.
Answer:
12+1/2 (0.5 as a decimal)
Step-by-step explanation:
π +0.5 will give an irrational number.
0.314 is rational
12 is a counting number.
And 4.35889894... is an irrational number.
An irrational number plus a rational one equals an irrational number.
Hope it helps! Please mark Brainliest! :-)
prince covers 1200 meter distance in 10 minutes . calculate his velocity
Answer: 120 m/min or 2 m/s
Concept:
Here, we need to know how to calculate velocity.
Velocity = ΔD / ΔT
The SI unit of velocity is m/s
Solve:
Given information
Distance = 1200 m
Time = 10 min
Given expression
Velocity = ΔD / ΔT
Substitute values into the expression
Velocity = 1200 / 10
Velocity = 120 m/min
Extra:
**Disclaimer** Ignore this part if it is irrelevant to what you are learning.
If the question needs an answer with SI unit, then please see below:
Given information
Distance = 1200 m
Time = 10 min = 10 × 60 = 600 sec
Given expression
Velocity = ΔD / ΔT
Substitute values into the expression
Velocity = 1200 / 600
Velocity = 2 m/s
Hope this helps!! :)
Please let me know if you have any questions
The greatest 6 digit even numbers with 4 in the ten thousand place and all digits different
Answer:
948,762
Step-by-step explanation:
The greatest six digit number would have to start with 9. It is given that the four is in the ten thousand place. Since no number can be repeated. I put the next largest number to 9 in the thousands place which is 8. I then put 7 then 6. Since the number has to be even I put 2 since 8, 6 and 4 were already used.
The greatest 6 digit even numbers with 4 in the ten thousand place and all digits different is 948,762.
What are even numbers?An even number is an integer that can be divided by two and remain an integer or has no remainder.
Now it is given that,
greatest 6 digit even numbers with 4 in the ten thousand place and all digits different
So, the greatest will be starting from 9
Digit at the ten thousand place is fix, 4
Digit at the thousand place is 8
Digit at the hundred place is 7
Digit at the ten place is 6
Since, it is an even number then it must be divisible by 2.
So, last digit at ones is 2
Thus we get, 948,762
hence, the greatest 6 digit even numbers with 4 in the ten thousand place and all digits different is 948,762.
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Please, someone, help
Answer:
I will help
Step-by-step explanation:
Gross income is:
A. the amount of pay after tax and benefit deductions.
B. the amount of pay after tax but before benefit deductions.
C. the total amount of earned salary or wages.
D. the total amount an employer withholds for taxes.
Gross income is: The total amount of earned salary or wages. Option C is the correct answer.
Gross income refers to the total amount of money earned by an individual before any deductions or taxes are taken out. It represents the complete earnings from employment or other sources of income before any adjustments or deductions are made.
Gross income includes the full amount of salary or wages earned by an individual, as well as any additional income such as bonuses, commissions, or tips.
Option A is incorrect because gross income is the total amount earned before tax and benefit deductions are applied.
Option B is incorrect because gross income is not after tax, but rather before any tax deductions.
Option D is incorrect because gross income does not specifically refer to the amount withheld for taxes, but rather the total amount earned before any deductions.
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a system of equations is given below in terms of the scalar parameters a and b.
ax + 2y+ 4z = b
2x +y+3z= a+1
5x-2y+ (a+1)z= 3
(1) Show that if a = -5 or a=2, the system does not have a unique solution.
A system of equations only has a unique solution if all the equations are linearly independent (this means that we have two or more equations representing the same curve).
Here we have the system:
a*x + 2*y + 4*z = b
2*x + y + 3*z = a + 1
5*x - 2*y + (a + 1)*z = 3
Now we want to show that if a = -5 or a = 2, then the system does not have a unique solution.
To see this, we can just replace a by these values and see that the equations are not linearly independent.
for a = 2 we get:
2*x + 2*y + 4*z = b
2*x + y + 3*z = 2 + 1
5*x - 2*y + (2 + 1)*z = 3
Simplifying this:
2*x + 2*y + 4*z = b
2*x + y + 3*z = 3
5*x - 2*y + 3*z = 3
From the second and third equation we can write:
2*x + y + 3*z = 3 = 5*x - 2*y + 3*z
2*x + y + 3*z = 5*x - 2*y + 3*z
2*x + y = 5*x - 2*y
3*y = 3*x
y = x
now that we know this, we can rewrite the equations as:
4*(x + z) = b
3*(x + z) = 3
Now we can take the quotient of the two equations to get:
(4*(x + z))/3*(x + z) = (4/3) = b/3
b = 4
Then the equations become:
4*(x + z) = 4
3*(x + z) = 3
Here we can divide te above one by 4 and the below one by 3 to get:
(x + z) = 1
(x + z) = 1
So both equations represent the same line, thus, the system does not have a unique solution.
Now for a = -5:
-5*x + 2*y + 4*z = b
2*x + y + 3*z = -5 + 1
5*x - 2*y + (-5 + 1)*z = 3
Simplify it:
-5*x + 2*y + 4*z = b
2*x + y + 3*z = -4
5*x - 2*y - 4*z = 3
Now we can rewrite the first equation as:
-5*x +2*y - b = -4*z
and the third one as:
-4*z = 3 - 5*x + 2*y
Then we can write:
-5*x +2*y - b = -4*z = 3 - 5*x + 2*y
-5*x +2*y - b = 3 - 5*x + 2*y
Now we can remove the -5*x in both sides to get:
+2*y - b = 3 + 2*y
Now we can remove the 2*y in both sides to get:
-b = 3
b = -3
Replacing this in our system we get:
-5*x + 2*y + 4*z = -3
2*x + y + 3*z = -4
5*x - 2*y -4*z = 3
Now we can multiply the first equation by -1:
-1*(-5*x + 2*y + 4*z)= -1*(-3)
5*x - 2*y - 4*z = 3
This is the same as the third equation, so here we can see that the first and third equations represent the same line, thus, the system of equations does not have a unique solution.
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Graph the line with slope -3/4 passing through the point (2,2)
Step-by-step explanation:
the answer is in the graph above
A.It has reflectional symmetry with one line of symmetry.
B.It has point symmetry.
C.It has no reflectional symmetry.
D.It has rotational symmetry with an angle of rotation of 180°.
Answer:
Step-by-step explanation:
( A ). It has reflectional symmetry with one line of symmetry.
I. LUI
Solve the equation by factoring. (Enter your
ans
4x^2 – 8x – 5 = 0
Answer:
hope it's helps you.......
I don’t know how to do this pls help me with this!!
Answer: 1st bar: 1=100%
2nd bar= 1/2=50%
3rd bar= 1/3= 33.3%
4th= 1/4= 25%
5th= 1/5= 20%
Last bar= 1/10= 10%
Step-by-step explanation:
f(2) if f(x) = 3x + 5. f(2)?
Answer:
f(2) = 11
Step-by-step explanation:
Plug 2 in for x
3(2) + 5
6 + 5
= 11
3) You roll a number cube what's the probability of
rolling a number higher than 4 and then a 2?
Answer:
1/18
Step-by-step explanation:
Probability of getting a number higher than 4=1/3
Probability of getting 2=1/6
Probability of rolling a number higher than 4 and then a 2=(1/3)*(1/6)=1/18
Order of operations 8x18/4+15
Answer:
8×18=144
4±15=19
144÷19
7.579 answer
Simplify 21v ^-6 divided by (-7v^-6)
What is 50 divided by 8?
Answer:
6.25 or 6 2/8 or 6 R2
Step-by-step explanation:
What is the value of 3-(-2) ?
Answer:
3 + 2 = 5
Thank You
Which of the following is true, according to the graph?
There is a much larger preference for science among those who prefer R&B.
There is a much larger preference for English among those who prefer rock.
There is a much smaller preference for math among those who prefer country.
The percentages for class preference are relatively the same among the different music groups.
Answer:
a one is right answer
Step-by-step explanation:
h.j.j.k kaoa0
if (x+30) and (3x+10)are co interior angle.Find the value of x
Answer:19
Step-by-step explanation:
3x3=9 then add by 10 giving u the sum of 19
<3
Answer:
x = 35
Step-by-step explanation:
Co interior angle sum to 180° , so
x + 30 + 3x + 10 = 180 , that is
4x + 40 = 180 ( subtract 40 from both sides )
4x = 140 ( divide both sides by 4 )
x = 35
What is the answer for number 74.
Answer:
g
Step-by-step explanation:
Point B is between points A and C. AB = 2x - 3, BC = 7x - 10, and AC = 32.
What is the value of x?
need help......................................... I DO ANYTHING
Step-by-step explanation:
Additive inverse are numbers with the same number but different signs. For example, 1 and -1 are additive inverse.
An additive inverse and it original number add to zero.
For example,
[tex]1 + ( - 1) = 0[/tex]
Using this info, w is -0.8
0.8 and -0.8 are equidistant from 0.
-0.8 is 2 mark to the right of -1.
So this means that 0.8 is 2 mark to left of 1.
$24000 was deposited in an account. If rate of interest is 15% p.a. compounded annually, then calculate the amount after 2 years.
(a) 5060 (b) 5180 (c) 5290 (d) 5350.
Answer:
Principal=P=24,000
Rate of interest=r=15%
Time=n=2
3
1
years
Here first we take n=2years
A=P(1+
100
r
)
n
where A=Amount and n=number of years
A=24000(1+
100
15
)
2
=24000×
100
115
×
100
115
=Rs.31,740
The amount after 2 years is Rs31,740
Now principal=Rs.31,740
Simple interest for last
3
1
year is
100
PRT
=31,740×
100
15
×
3
1
= Rs.1,587
∴ Amount after 2
3
1
year= Rs.31740+1587= Rs.33,327
C.I =A−P
∴C.I=33,327−24,000=Rs.9,327
Answer:
solution :
principal (p)=24000
rate of interest (r)=15%
time(t)= 2 years
simple interest (S.I)=?
amount (a)=?
now,
S.I=PRT
100
=24000*15*2
100
=240*15*2
=7200
Again,
a=P+S.I
=24000+7200
=31200#
Woolworths had a going out of business sale. The price of a telephone before the sale was $39.98. What was the price of the telephone after a 30% discount? If the sale price of the same telephone had been $23.99, what would the percentage discount have been?