Let the number be x
ATQ
[tex]\\ \sf\longmapsto 3x+2=18[/tex]
Take 2 to right side[tex]\\ \sf\longmapsto 3x=18-2[/tex]
[tex]\\ \sf\longmapsto 3x=16[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{16}{3}[/tex]
[tex]\\ \sf\longmapsto x=5.3[/tex]
[tex]\\ \sf\longmapsto x\approx 5[/tex]
75% of 32 students are interested in Mathematics. How many are not interested in Mathematics ?
Answer:
The answer is 8!
Step-by-step explanation:
75% is 3/4 of 100 so you take 32÷4 and get 8, hope this helps:)
Alternative method:
Percentage of students who are interested in Mathematics = 75%Then, percentage of students who are not interested in Mathematics = (100 - 75)% = 25%Therefore, number of students who are not interested in Mathematics [tex] = 25\% \: \: of \: \: 32 \\ = \frac{25}{100} \times 32 \\ = \frac{1}{4} \times 32 \\ = 1 \times 8 \\ = 8[/tex]Answer:
8
Hope you could get an idea from here.
Doubt clarification - use comment section.
Solve the following equations
1. 83x= 1/256
2. 243 3-p= 3 p -3
Here are ur answer.......
Subtract and simplify your answer. 3/4 - 1/6
Answer:
7/12
Step-by-step explanation:
3/4 - 1/6
18/24 - 4/24 = 14/24
14/24 = 7/12
Answer:
[tex]\frac{7}{12}[/tex]
Step-by-step explanation:
[tex]\frac{3}{4}- \frac{1}{6}[/tex] ⇒ [tex]\frac{9}{12}- \frac{2}{12}[/tex]
[tex]=\frac{7}{12}[/tex]
Hope this helped! :)
i dont know how to do this stuff
im choosing brainliest
Answer:
5 - 15 = -10
Step-by-step explanation:
Answer:
5 - 15 = -10
Step-by-step explanation:
If you start with 5 and then subtract 15, you end up at -10.
Question 1 (1 point)
What property is shown?
-d + (-e +(-f)) = (-d + (-e)) + (-f)
A:opposite of a sum
B:distributive
C:commutative
D:associative
How much will the taxi driver earn if he takes one passenger 4.8 miles in another passenger 7.3 miles explain your process
Answer:
12.1x+t
Step-by-step explanation:
since we do not get a specific amount we must add 4.8 and 7.3 and substitute the amount the driver earns per mile with x and use t as a variable if they charge something like $5 just to get in before driving
Estimate the area please. will give brainliest.
Answer:63
Step-by-step explanation:
please help me with math
Hi there! :)
5-2b when b=-1; 3.
5-2(-1)
5+2
7
5-2(3)
5-6
-1
3(x+8)
3x+24
Hope it helps!
~Answer given by
An Unknown Dreamer
Good luck.
6. David bought 3 DVDs for 4 books for $40 at a yard sale. Anna bought 1 DVD and 6 books for
$18. How much did each DVD and book cost?
Answer:
5
Step-by-step explanation:
just had this question
Find the range and domain of the following set:
{(-5, -5), (-3, 4), (0, 1), (2, 5)}
Question options:
{(-5, -5), (-3, 4), (0, 1), (2, 5)}
{-5, 1, 4, 5}
{-5, -3, 0, 2}
{-5, 5}
Answer:
range: {-5, 1, 4, 5}domain: {-5, -3, 0, 2}Step-by-step explanation:
The range is the set of second numbers of the ordered pairs.
{-5, 1, 4, 5}
__
The domain is the set of first numbers of the ordered pairs.
{-5, -3, 0, 2}
__
Additional comment
It is generally convenient to write the elements of a set in sorted order.
Jemma and Debra work as consultants.
They both get hired for a job. Jemma
charges a fee of $15 plus an additional
$22 per hour. Debra charges $20 per
hour. Write an expression that
represents how much money their
employer will have to pay both of them
after x amount of hours.
Answer:
22x+15=20x
Step-by-step explanation:
Jemma requires 22 dollars per hour, plus a 15 dollar original fee. Debra requires a 20 dollar fee per hour.
Answer:22x+15=20x
Step-by-step explanation:
Find the value of x.
X=
137°
(4x-17)
Answer:
x = 15°
Step-by-step explanation:
These angles form a linear
4x - 17 + 137° = 180°
4x - 17 = 43°
4x = 60°
x = 15°
Someone please help me on both the questions!!!
Step-by-step explanation:
al nth term:
numerator:
[tex] = {n}^{2} [/tex]
denominator:
[tex] = n + 1[/tex]
so nth term :
[tex] = \frac{ {n}^{2} }{n + 1} [/tex]
b). 1; 11; 27; 49
first difference: 10; 16; 22
second difference :6
formula for 1st difference:3a+b
formula for 2nd difference:2a
Therefore:
2a=6
a=3
3a+b=10
sub in a
3(3)+b=10
9+b=10
b=1
sub into quadratic formula
[tex] {an}^{2} + bn + c[/tex]
[tex](3) {(1)}^{2} + (1)(1) + c = 1[/tex]
[tex]3(1) + 1 + c = 1[/tex]
[tex]3 + 1 + c = 1[/tex]
[tex]4 + c = 1[/tex]
[tex]c = - 3[/tex]
So Tn:
[tex]3 {n }^{2} + 1n - 3[/tex]
Step-by-step explanation:
a)
it is clearly a sequence of the square numbers over the numbers+1.
1/2 = 1²/(1+1)
4/3 = 2²/(2+1)
9/4 = 3²/(3+1)
16/5 = 4²/(4+1)
so, the nth term would be
n²/(n+1)
b)
an² + bn + c creates the sequence with increasing n (n = 1, 2, 3, 4, ...)
since for sequence the first starting value is often not generated by the general expression, we have to focus on n = 2, n = 3 and n = 4, and with that we get 3 equations with 3 variables (a, b, c) that we can solve :
n = 2
a×2² + b×2 + c = 11 = 4a + 2b + c
n = 3
a×3² + b×3 + c = 27 = 9a + 3b + c
n = 4
a×4² + b×4 + c = 49 = 16a + 4b + c
the first equation gives us
c = 11 - 4a - 2b
when we use this in the second equation, we get
27 = 9a + 3b + 11 - 4a - 2b = 5a + b + 11
b = 16 - 5a
now we use both of that in the third equation :
49 = 16a +4(16 - 5a) + 11 - 4a - 2(16 - 5a) =
= 16a + 64 - 20a + 11 - 4a - 32 + 10a =
= 2a + 43
2a = 6
a = 3
b = 16 - 5a = 16 - 5×3 = 16 - 15 = 1
c = 11 - 4a - 2b = 11 - 4×3 - 2×1 = 11 - 12 - 2 = -3
Enter the value of 14 + (-22) – 14 – 22.
Answer:
-44!
Step-by-step explanation:
I’m going to try and explain this the best way possible through a keyboard:
14+(-22)-14-22
I usually work from left to right with these kinda problems, it helps me stay organized.
The rule for adding integers is when the signs are different you always subtract and take the sign of the LARGER number…
With that being said,
14+-22=-8
Then re write the problem
-8-14-22
Subtracting integers with different sign calls for the KCF method (keep the first number the same, change the sign, flip the second number:
Working one step at a time left to right…
-8+-14 (just add normally and keep the sign)
-22-22
Again using the kcf method,
-22+22=
-44
Hope that helps!
YURRRRRRRRRRRRRRRR
[tex]4 \div 0.25[/tex]
Answer:
16
4
[tex]4 \div ( \frac{25}{100}) = 400 \div 25 = 16 [/tex]
I NEED HELP WHAT IS 3 miles 440 yards + 6 miles 880 yards
(3 miles) + (440 yards) + (6 miles) + (880 yards)
= 9.75 miles
After adding all the given values in, the same unit will be equal to 9.75 miles.
What is Unit conversion?Multiplying or dividing by a numeric number, or more specifically, a correction factor, is a procedure comprising several steps known as conversion.
Rounding and choosing the appropriate number of significant digits may also be necessary steps in the procedure.
As per the given information in the question,
3 miles + 440 yards + 6 miles + 880 yards
Now, use unit conversion,
1 mile = 1760 yards
440 yards = 0.25 miles and,
880 yards = 0.50 miles
So, total distance is,
3 miles + 0.25 miles + 6 miles + 0.50 miles = 9.75 miles.
To know more about Unit conversion:
https://brainly.com/question/19420601
#SPJ2
Find the odds for and the odds against the event rolling a fair die and getting a 2, a 3, or a 5.
Answer:
The odds for are 50% and the odds against are 50%.
Step-by-step explanation:
On a die, there is 6 possibilities 2, 3, and 5, are 3 of them.
This means there is a 3/6 chance that it will land on one of those numbers, and there is also a 3/6 chance it will land on 1, 4, or 6.
3/6 is equivalent to 50% and 1/2.
How many solutions to a system does the graph below show?
This is not a graph of a system of equations. Infinite Solutions
One Solution
No Solutions
Answer: Check explanations
Step-by-step explanation: When lines are parallel, then there are infinite solutions (the answer), if they are intersecting there is only 1 solution, which is the point where the lines intersect, and if they aren't intersecting or parallel, then No solutions.
What integer $x$ satisfies $\frac{1}{4}<\frac{x}{7}<\frac{1}{3}$?
If 1/4 < x/7 < 1/3, then
7/4 < x < 7/3
1.75 < x < 2.333…
so that x = 2.
PLEASE HELPPPPPPPPP
SOOOO I didn't pay attention to math class and their already on a whole new subject which is algebra I need help on equations like 5x-2x- x x=5 like what or 9z times 7p= Let z=2 and p=3 please help due tomorrow please walk me down easily how to do
Answer:
5x-2x-x = 10 9z • 7p = 378
Step-by-step explanation:
With equations like these you're basically just plugging numbers in where there are variables. so if you have 5x-2x-x when x=5, you just plug in 5 wherever x is. 5x-2x-x turns into (5•5)-(2•5)-(1•5). you multiply the expressions in the parentheses to get 25-10-5 and then you simply subtract.
1. 5x-2x-x
2. (5•5)-(2•5)-(1•5)
3. 25-10-5
4. 10
We can do the same thing with your second example. 9z•7p when z=2 and p=3. When there is a z, you plug in a 2. When there is a p, you plug in a 3.
1. 9z•7p
2. (9•2) • (7•3)
3. 18 • 21
4. 378
hope this helps :)
Triangle ABC is translated left 1 units, and dilated by a scale factor of 2.
Write in the coordinates of vertices A'B'C'.
Answer:
A' (4,4) B' (0,0) C' (4,0)
Step-by-step explanation:
A (3,2) B (1,0) C (3,0)
Translated left 1 unit: A'' (2,2) B'' (0,0) C'' (2,0)
dilated about origin (0,0) by scale factor of 2: A' (4,4) B' (0,0) C' (4,0)
What is the common ratio for the geometric sequence?
4/3,4, 12, 36,...
Enter your answer in the box.
Answer:
3 is the correct answer
u can find common ratio by dividing a specific term in GP by its preceding term. ...just as here
4/(4/3) = 3
also 12/4 = 3
also 36 /12 = 3
hence the common ratio for this GP is 3
hope it helped
Step-by-step explanation:
9. The perimeter of the rectangle below is 65 inches.
2x
a. What is the value of x?
32x + 1
b. What are the dimensions of the rectangle?
65*2x=_________
32x+1=_________
x=65*2x=32x+1
`this is the solution `
What is the distance between 10 and 17 on the number line?
Find the difference:
17 - 10 = 7
So the distance between 10 and 17 is 7 on a number line.
What is the area of 30x40 rectangle in square units?? Will give BRAINLIEST if only correct!!!
Answer:
1200 units 30 times 40 is 1200
1200 sq units
hope this helps
a number card numbered from 1 to 30 is drawn randomly.what is the probability of getting the card having the number which is the multiple of 5 or 6
===================================================
Explanation:
A = multiples of 5 between 1 and 30
A = {5,10,15,20,25,30}
B = multiples of 6 between 1 and 30
B = {6,12,18,24,30}
There are 6 items in set A and 5 items in set B. This gives 6+5 = 11 items overall; however, notice that "30" shows up twice. So we have to subtract off 1 to account for this. This means there are 11-1 = 10 unique values that are either a multiple of 5, a multiple of 6, or a multiple of both. This is out of 30 numbers in the set {1, 2, 3, ... , 29, 30}
The probability we want is 10/30 = 1/3
PLEAZEEE HELP ME PLS WILL GIVE BRAINLIEST
Answer:
2q+7r+8
Step-by-step explanation:
(q+3)+(q+2)+(7r+3)
Brainliest is very apprieciated!
Laura just became a personal trainer and is finalizing her pricing plans. One plan is to charge
$55 for the initial consultation and then $41 per session. Another plan is to charge $50 for the
consultation and $46 per session. Laura realizes that the two plans have the same cost for a
certain number of sessions. How many sessions is that? What is that cost?
Using algebraic equations:
the number of sessions that will give same cost for both plans is: 1
the cost is: $96
Translate the situation into algebraic equations.
Let y = Total cost x = number of sessionsEquation for total cost of the first plan:
y = 41x + 55
Equation for the total cost of the second plan:
y = 46x + 50
To find the number of sessions that would yield same cost for both plans, make both equations equal to each other and solve for x.
41x + 55 = 46x + 50
Combine like terms together41x - 46x = - 55 + 50
-5x = -5
x = 1
For a session, both plans will yield the same cost.
The cost 1 session will yield for both:
41x + 55 = 46x + 50
Plug in the value of x41(1) + 55 = 46(1) + 50
96 = 96
Therefore, using algebraic equations:
the number of sessions that will give same cost for both plans is: 1
the cost is: $96
Learn more about algebraic equations on:
https://brainly.com/question/10612698
Solve geometry perimeter
7.62
Step-by-step explanation:
The diameter of the circle is 34cm and a chord is at a distance of 15cm from the centre. Find the length of the chord of the circle
===================================================
Explanation:
The drawing is shown below.
Point A = center of circlePoints B,C,E = points on the circle's edgePoint D = midpoint of chord CEThe goal is to find the length of CE based on these facts
BC = 34 = diameterAD = 15 = distance from center to chordx = length of segment CD = length of segment DENotice how AB = AC = AE = 17 because they are all radii of the same circle. We cut the diameter in half to get the radius.
Focus on triangle CAD. We'll use the pythagorean theorem to find x.
a^2 + b^2 = c^2
(AD)^2 + (DC)^2 = (AC)^2
15^2 + x^2 = 17^2
225 + x^2 = 289
x^2 = 289 - 225
x^2 = 64
x = sqrt(64)
x = 8
Segment CD is 8 cm long, and so is segment DE.
To wrap things up, we then say:
CE = CD + DE
CE = 8 + 8
CE = 16
Chord CE is 16 cm long.
