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.
Two less than the product of 3 and a number is equal to 6
Answer:
8/3
Step-by-step explanation:
Let x represent the number.
Create an equation to represent the situation, and solve for x:
3x - 2 = 6
3x = 8
x = 8/3
So, the number is 8/3.
(15-12)2-2+5=
20+23×3-1=
[4(3+2)-4]+42
Answer:
Here is your answer . Hope this is helpful to you.
A drink name with 3 letters
Answer:
tea
Step-by-step explanation:
just cuz lol
Answer:
Gin
Step-by-step explanation:
From the set {2, 6, 42}, use substitution to determine which value of x makes the equation true.
6(x + 40) = 252
Can someone plz solve the math problem i attached as a screenshot. Thx
Answer:
[tex]radius \: of \: first \: circle \: = \frac{3}{2} = 1.5cm \\ radius \: of \: \: second = \frac{4}{2} = 2cm \\ radius \: of \: third = \frac{6}{2} = 3cm \\ then \: ab \: length \\ = radius \: of \: first + diameter \: of \: second \: +r adius \: of \: third \\ = 1.5 + 4 + 3 \\ = 1.5 + 7 \\ = 8.5 cm\\ thank \: you[/tex]
x^2+6x+5-4y-y^2 factorize
Answer:
(x+y+5)(x-y+1)
Step-by-step explanation:
factor by grouping
x^2+6x+5-4y-y^2
x^2+6x+9 - (y^2+4t+4) + 5-9+4
(x+3)^2 - (y+2)^2
(x+3+(y+2))(x+3-(y+2))
(x+y+5)(x-y+1)
solve
pls need help
pls answer now
k/3 + 4 - 5k = -2k / · 3
k + 12 - 15k = -6k
k - 15k + 6k = -12
-8k = -12 / : (-8)
k = 12/8
k = 3/2 ← the end answer
Answer: A)
QUESTION 22
Change the following improper fractions into mixed numbers or whole numbers.
25/20 =
Answer:
1 1/4
Step-by-step explanation:
25/20=5/4=1 1/4
Hope this helps, thanks!
(12m^7-36m) ÷6m
Please answer. Really need help
[tex]2 {m}^{8} - 6 {m}^{2} [/tex]
Step-by-step explanation:
[tex](12 {m}^{7} - 36m) \div 6m[/tex]
➡️ [tex] \frac{1 {2m}^{7} - 36m }{6} \times m[/tex]
➡️ [tex] \frac{6(2 {m}^{7} - 6m)}{6} \times m[/tex]
➡️ [tex](2 {m}^{7} - 6m)m[/tex]
➡️ [tex]2 {m}^{8} - 6 {m}^{2} [/tex]
Find the length of Jl.
JI=2x - 6
KJ=2x - 15
KI=15
Answer:
x=12
Step-by-step explanation:
2x-15 + 2x-6 = 15
4x = 36
x = 9
2 x 9 - 6 = 12
Indicate which is the largest decimal in each of the following pairs.
0.0006 and 0.006
Answer:
0.006 is the larger decimal
Answer:
0.006 is the right answer
Step-by-step explanation:
Since (0.006) has the least amount of zeros after the decimal, it would be larger than the other decimal that has more zeros after the decimal.
divide write your answer in simplest form 2/3 divided by 1/4
Answer:
8/3 or 2.6667
Step-by-step explanation:
when you divide fractions you use a technique called KCF
K = keep
C = change
F = flip
You write the equation [tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{4}[/tex]
you keep [tex]\frac{2}{3}[/tex]
you change the symbol, so from ÷ you change it to x
and flip the last fraction, so you would have [tex]\frac{4}{1}[/tex]
then you solve it
[tex]\frac{2}{3}[/tex] x [tex]\frac{4}{1}[/tex] = [tex]\frac{8}{3}[/tex]
The result of 2/3 divided by 1/4 in simplest form is 8/3 .
Division: It is one of the four basic mathematical operation, the other three being addition, subtraction, multiplication.
Given, division of [tex]\frac{2}{3}[/tex] by [tex]\frac{1}{4}[/tex].
Division of fractional terms:
[tex]=\dfrac{\frac{a}{b}}{\frac{c}{d}}\\= (a)\times(d)/(b)\times(c)[/tex]
Apply, division process of fractional terms.
[tex]=\dfrac{\frac{2}{4}}{\frac{1}{3}}\\ = (2)\times(4)/(1)\times(3)[/tex]
[tex]= \frac{8}{3}[/tex]
Know more about division,
https://brainly.com/question/29775887
#SPJ6
Find the measure of one interior angle of a regular 16-gon.
Answer:
157.5
Step-by-step explanation:
14×180/16
= 315/2
= 157.5
Answer:
Step-by-step explanation:
16 sides
n-2=14
14x 180 = 2250
2250/16 =157.5 = 158
Model the situation.
The sum of two consecutive integers is 85. Find the integers that satisfy this condition.
Answer choices
A) 1 + 2 = 85
B) x+(x+1)=85
C) x+x=85
D) x+2x=85
Answer:
Option B is correct
Step-by-step explanation:
Let the number be x
Second number = x + 1
Sum = 85
x + x + 1 = 85
2x + 1 = 85
2x = 85 - 1
2x = 84
x = 84/2 = 42
Numbers are 42 and 43
Answer:
B) x+(x+1)=85
Step-by-step explanation:
Consecutive means in a row
Let x be the first integer
x+1 is the next integer
x+x+1 = 85
Write the equation for each question:
9. the sum of 5 and four times a number is 32
10. four less than the square of a number is 12
11. The product of 3 and four more than a number is 20
Marking Brainliest for whoever answers with the equations
Answer:
See belowStep-by-step explanation:
The unknown number is reflected as n.
#9The sum of 5 and four times a number is 32:
5 + 4n = 32#10Four less than the square of a number is 12:
n² - 4 = 12#11The product of 3 and four more than a number is 20:
3*(n + 4) = 20Solve the system of equations.
y=3x + 24
y=9x
Answer:
x = 4
y = 36
Step-by-step explanation:
use substitution
y=3x+24
y=9x
therefore . 9x=3x+24
x = 4
sub 4 in for x and solve for y
y = 9(4) = 36
Can anyone help with this please
Answer:
None
Step-by-step explanation:
Simply, the absence of s^-1 shows the answer as none
Help me with the e or how many you can
Please afsp
Answer:
(a)
sin²A×cos²A+sin⁴A
we will take sin²A as an common factor
so it become
sin²A×(cos²A+sin²A)
sin²A+cos²A=1
sin²A×1=sin²A
(c)
sinA×cotA
cotA= cosA/sinA
sinA×cosA/sinA=cosA
(e)
(1+sinA)²-(1-sinA)²
(a+b)²=a²+b²+2×a×b
(a-b)²=a²+b²-2×a×b
1²+sin²A+2×1×sinA-(1²+sin²A-2×1×sinA)
1+sin²A+2sinA-1-sin²A+2sinA=4sinA
(g)
(cosec²A-1)/cosec²A
cosecA=1/sinA
1/sin²A-1/1/sin²A
(1/sin²A-1)×sin²A
1-sin²A
1=sin²A+cos²A
sin²A+cos²A-sin²A=cos²A
(i)
sqrt(1+tan²A)×sqrt(1-cos²A)
1+tan²A=
1+sin²A/cos²A=
sin²A+cos²A/cos²A
sin²A+cos²A=1
=1/cos²A
1-cos²A
1=sin²A+cos²A
sin²A+cos²A-cos²=sin²A
sqrt(1/cos²A)×sqrt(sin²A)
1/cosA×sinA=sinA/cosA=tanA
have a great day
Evaluate the expression for the given values of the variables. x2 + 4(x − y) ÷ z2, for x = 8, y = 5, and z = 2
in a certain country, 40% of registered voters are reublicans, 45% are democrats, and 15% are indepdents. what is the probability that a randomly selected voter opposes the bill
5. Find the solutions of x^2 – X-30 = 0.
please show work on how to do it
Answer:
x=6, x= -5
Step-by-step explanation:
Factor the equation
x^2 - x - 30 = 0 ----> (x-6)(x+5)=0
Next find the solution by setting those in the paranthesis equal to zero.
x-6=0 ----> x= 6
x+5=0 ----> x= -5
Step-by-step explanation:
[tex] {x}^{2} - x - 30 = 0[/tex]
➡️ [tex] {x}^{2} + 5x - 6x - 30 = 0[/tex]
➡️ [tex]x \times (x + 5) - 6(x + 5) = 0[/tex]
➡️ [tex](x + 5) \times (x - 6) = 0[/tex]
➡️ [tex]x + 5 = 0[/tex]
➡️ [tex]x - 6 = 0[/tex]
➡️ [tex]x = - 5[/tex]
➡️ [tex]x = 6[/tex]
➡️ [tex] x_{1} = - 5. \: x_{2} = 6[/tex]
6 4/5 + 3 2/3
add and simplify
Answer:
10 3/5
Step-by-step explanation:
6 4/5 + 3 4/5
First convert to improper fraction,
34/5 + 19/5
Then add the improper fractions,
=>53/5
Then convert improper fraction to mixed fraction,
=> 53/5 = 10 3/5
how to find the sum of 12 and 36 using the gcf and distributive property
(2x + 5) + (x + 4) =
Answer:
3x + 9
Step-by-step explanation:
(2x + 5) + (x + 4)
Distribute the + to all numbers/variables
2x + 5 + x + 4
Combine like terms:
2x + 5 + x + 4
3x + 5 + 4
3x + 9
Hope this helped.
The histogram below shows the number of hours per month students in Mr. Carter's class watch television. How many students watch television between 1 and 10 hours per month?
6(a+2b+3c)=6, left parenthesis, a, plus, 2, b, plus, 3, c, right parenthesis, equals
Madison lives between Anoa and Jamie as depicted on the line segment. The distance between Anoa's house and Madison's house is represented by 3x+2 miles, the distance between Madison's house and Jamie's house is represented by 3x+4 miles, and the distance between Anoa's house and Jamies house is represnted by 9x-3 miles. Find the value of x. Then find the distance between Madison's house and Jamie's house.
Answer:
x = 3
13 miles between Madison and Jamie's house.
Step-by-step explanation:
If we add the distance between Anoa's and Madison's house with the distance between Jamie's and Madison's house, then we get the total distance between Anoa's and Jamie's house.
(3x + 2) + (3x + 4) = 9x - 3
Let's add up the terms first
3x + 2 + 3x + 4 = 9x - 3
6x + 6 = 9x - 3
Let's move the variables to the right side by subtract 6x from both sides
6x + 6 = 9x - 3
-6x -6x
6 = 3x - 3
Add 3 to both sides
6 = 3x - 3
+3 +3
9 = 3x
Isolate the variable, x, by dividing both sides by the coefficient, 3.
9/3 = 3x/3
x = 3
Now we need to find the distance between Madison's and Jamie's house.
3x + 4
Plug in 3 in place of the x
3(3) + 4
9 + 4 = 13
Answer:
Step-by-step explanation:
If we add the distance between Anoa's and Madison's house with the distance between Jamie's and Madison's house,then we get the total distance between anoa's and Jamie's house.
INSTRUCTIONS: This is a numerical series. Find the missing item
10.0.18 0.36 0.72|?|2.88
A. 0.9
B. 1.26
C. 1.44
D. 1.62
Answer: C. 1.44
Step-by-step explanation:
Each number gets multiplied by 2, so it's an exponential series in a way.
You must multiply .72 by 2 to get 1.44.
Help me pleaseeee help help
Answer:
Step-by-step explanation:
Find the HCF of 1045 and 1520 by long division. Method plsss
Answer:
95
Step-by-step explanation:
you can watch answer in photo. by the way where r u from?
Answer:
I hope it helped U
stay safe stay happy ❤️❤️