The algebaraic equation required is :
2.55x + 0.7 = 16
The number of pens Hannah bought is 6
If :
x = number of pens
4 more pencils Than pens ; Number of pencils = x + 4
2 fewer erasers than pens ; number of erasers = x - 2
Total amount spent = $16
The total number of items bought is :
(x) + (x + 4) + (x - 2)
Multiplying by the cost of each :
1.25x + 0.55(x+4) + 0.75(x-2)
Hence, Total amount spent can be represented as :
1.25x + 0.55(x+4) + 0.75(x-2) = 16
1.25x + 0.55x + 2.2 + 0.75x - 1.50 = 16
2.55x + 0.7 = 16
The algebraic equation is : 2.55x + 0.7 = 16
The number of pens Hannah bought can be calculated thus :
2.55x + 0.7 = 16
2.55x = 16 - 0.7
2.55x = 15.30
x = 15.30 / 2.55
x = 6
Learn more : https://brainly.com/question/2610134
Answer:
Step-by-step explanation: x = the number of pens Hannah bought
(x + 4) = the number of pencils Hannah bought
(x - 2) = the number of erasers Hannah bought
The equation to solve would be 1.25x + 0.55(x + 4) + 0.75(x - 2) = 16
1.25x + 0.55(x + 4) + 0.75(x - 2) = 16.00
1.25x + 0.55x + 4 * 0.55 + 0.75x - 2 * 0.75 = 16.00
1.25x + 0.55x + 2.20 + 0.75x - 1.50 = 16.00
1.25x + 0.55x + 0.75x = 15.30
2.55x = 15.30
x = 6
Note: if you didn't get a Whole Number, you know that you must've made a mistake. You can't buy part of a pen or pencil or eraser.
x = the number of pens Hannah bought = 6
(x + 4) = the number of pencils Hannah bought = 6 + 4 = 10
(x - 2) = the number of erasers Hannah bought = 6 - 2 = 4
You can check your work: 1.25(6) + 0.55(6 + 4) + 0.75(6 - 2) = 1.25(6) + 0.55(10) + 0.75(4) = 16 (check!)
is 5 (10) the same as 5 (3+7)
Answer:
[tex]yes \\ because \\ 5 \times (10) = 50 \\ and \: 5(3 + 7) = 5(10) = 50 \\ than k\: you[/tex]
Answer:
yes, because 3+7 is equal to 10
Step-by-step explanation:
construct a quadrilateral KLMN in which KL=LM=KM=5cm,KM=8cm and LN =6 cm
Answer:
Step-by-step explanation:
There are 2 possibilities.
1) Put a point L.
2) draw the circle of center L and radius 5 :C1
3) Put on point M on this circle
4) Draw the circle of center m and radius 8:C2
5) C1 and C2 intersect in K
2) Para realizar um campeonato de vôlei em uma escola o professor de educação física decidiu dividir os 96 alunos em grupos. Sabendo que cada equipe para esse esporte deve ser composta por 6 pessoas, quantas equipes o professor conseguiu formar?
Answer:
Answer:
16
Step-by-step explanation:
96÷6=16
HELP WITH B, C, & D PLS: g(x) = 2x2 + 5x + 1, find: -3g(3)
3. Determine the value of x if:
3.1. 75x -15 =5x + 125
3.2. 6(3x - 2) = 7(x + 3) +2
3.3.10/x-3= 8
3.4. x + 7 = 5x - 13
3.5. 20x +4 =4x - 46
Step-by-step explanation:
3.1.
your question
75x-25=5x+125
collect like terms
70x=150
Divide both side by the coefficient of x
70x/70=150/70
70 ti cancel 70 on x side to leave x alone
:. x=150/70 or 2.14
3.2.
6×(3x-2)=7×(x+3)
multiply by the bracket
18x-12=7x+21
collect like terms
18x+7x=21+12
25x=33
divide by the coefficient of x
25x/25=33/25
x=33/25 or 1.32
3.3.
10/x-3=8
cross multiply(know that 8 is /1)
x‐3×8=10×1
8x-24=10
8x=10+24
8x=34
divide both sides by coefficient of x
8x/8=34/8
8x=34/8 or 4.25
3.4.
x+7=5x-13
collect like terms
7+13=5x-x
20=4x
divide both sides by the coefficient of x
20/4=4x/4
5=x
:.x=5
3.5.
20x+4=4x-46
collect like terms
20x-4x=-46-4
16x=-52
divide both sides by the coefficient of x
16x/16=-52/16
:.x=52/16 or 3.25
b. The number of cats your teammates have as pets: 0, 1, 3,2
Ok so 1.2 is the answer you get if you divide them
and you can also say one because its counting by ones
Please hurry i need a asnwer
Answer:
[tex] \frac{5i}{3 + 2i} \times \frac{3 - 2i}{3 - 2i} \\ \frac{15i - 10 {i}^{2} }{9 - 4 {i}^{2} } \\ \frac{15i - 10( - 1)}{9 - 4( - 1)} \\ \frac{15i + 10}{9 + 4} \\ \frac{15i + 10}{13} \\ \frac{10}{13} + \frac{15i}{13} [/tex]
What’s the answer to this? Please send help
Answer:
But I see no attachment....pls recheck
If n - 72 = 36, then what is the value of n?
N - 72 = 36
To solve for n add 72 to both sides of the equation:
N = 108
Answer:
108
Step-by-step explanation:
Add 72+ 36 you will get your answer
The answer is 108
Therefore n= 108
can someone please help me with this?
I think the given figure will help you....
0.125, 2/5, 65%, 0.5, 1/4, 80%, 0.232 in order from greatest to least
Find the median and mode of 14 ,25, 14, 28, 18, 17, 18, 14, 23 22, 14 and 18
Answer:
Ascending order - 14, 14, 14, 14, 17, 18, 18, 22,
23, 25, 28
Median = ( n+1/2)
= ( 11+1/2)
= 12/2 = 6th term
Here, in order 6th term is 18, so 18 is median.
Mode is frequently occurring number.
Here frequently occurring number is 14 i,e 4 times.
Hence, 14 is mode.
Answer:
mode ; 14
median; 18
Step-by-step explanation:
Ans; 14, 14 , 14 ,14, 17 , 18 , 18 , 18 ,22, 23 , 25 , 28
mode ; 14
[tex]median = \frac{n}{2} = \frac{18 + 18}{2} = \frac{36}{2} \\ \\ median = 18[/tex]
I hope I helped you^_^
Carly spent more than 180 minutes this week on her computer. She
spent 45 minutes on Sunday and the same number of minutes each
of the other 6 days. What is the minimum number of minutes that
Carly spent on her computer each of the other 6 days? Write and
solve an inequality.
Answer:256
Step-by-step explanation:
what is the rule division property of radicals?
Answer:
Divide the numbers from within the radicals.
hi please help i’ll give brain
Answer:
The GCF is going to be 2
Step-by-step explanation:
This Is how I find the GCF of 3 numbers. I find the prime factorization first, then I find the common factors and multiply them. Here
The prime factorization of 8, 2 × 2 × 2 = 8
The prime factorization of 18, 2 × 3 × 3 = 18
The prime factorization of 70, 2 × 5 × 7 = 70
The one and THE only common factor is 2, which is going to be the GCF
Perimeter?
2cm
55mm
10cm
60mm
a = 2 cm
b = 55 mm = 5,5 cm
c = 10 cm
d = 60 mm = 6 cm
Perimeter: 2 + 5,5 + 10 + 6 = 23,5 cm
Factorise: (Using Algebraic Identities)
64x^3-(4x-3y)^3
Answer:
9y(16x2−12xy+3y2)
Step-by-step explanation:
Factor 64x3−(4x−3y)3
144x2y−108xy2+27y3
=9y(16x2−12xy+3y2)
Answer:
9y(16x2−12xy+3y2)
Kris drives 30 miles to work. For the first x miles, he drives 40 miles per hour. Then he is stuck in traffic and averages only 3 miles per hour the rest of the way. This expression can be used to find the total time Kris spends commuting: 40(x) + 3(30 - x).
Simplify the expressions.
1. 3(30 – x)
2. 40(x) + 3(30 - x)
Answer:
1) -3x + 90
=(3)(30+−x)
=(3)(30)+(3)(−x)
=90−3x
=−3x+90
2) 37x+90
=40x+(3)(30)+(3)(−x)
=40x+90+−3x
Combine Like Terms:
=40x+90+−3x
=(40x+−3x)+(90)
=37x+90
6x + 3y - 9 when
x = 6, y = 9
Answer:
63
Step-by-step explanation:
6x + 3y - 9
x = 6
y = 9
6(6) + 3(9)
36 + 27
= 63
find the distance between P=(4,7) and Q=(1,3)
Answer:
may be 5 unit is the distance is between then
Answer:
5 units
Step-by-step explanation:
use distance formula kid
Express each percent as a fraction or mixed number in simplest form.
120%
++pls explain how to do this if you know
Answer:
120/100
Step-by-step explanation:
120÷20= 6
100÷20=5
6/5 = 1⅕
Five times the sum of a number and 7 is 8
i need help with this question
Answer:
-14.50, -8/4, 4.2, 15/2, 12.072, 12.25
help please asap lol thanks
Answer:
3.3
Step-by-step explanation:
Find all the numbers and find the mean
The x means that there are that many of each number
1 + 1 + 2 + 3 + 3 + 4 + 4+ 5 + 5 + 5
33
We have to divide that by the total amount of numbers present
33/10 = 3.3
What numbers are 3 units from -2 on a number line?
A number line ranging from negative 10 to positive 10
Select from the drop-down menus to correctly complete the statements.
______is 3 units left from -2 on a number line.
______- is 3 units right from -2 on a number line.
The answers are
-1
-5
1
5
please hurry
Answer:
___-5___is 3 units left from -2 on a number line.
___1___- is 3 units right from -2 on a number line
How would I graph y = 5/3 x -9
Factor this polynomial completely.
6x2 + 7x - 20
Which names are other ways to name _1? Select each correct answer.
y
pfy
pyf
p
yfp
ypf
f
Answer:
your answer is F
I hope it's helps you
(2x+y)^2- (y-2x)^2
pleaseee help me
The total bill (parts and labor) for the repair of a car was $458. The cost of parts was $339. The cost of labor was $34 per hour. How many hours of labor did it take to fix the car?
Answer:
3.5 Hours MARK ME AS BRAINLIEST PLEASE
Step-by-step explanation:
Take 458, and subtract 339 from it. Then, divide that by 34.
Answer:
3 and a half hours
Step-by-step explanation:
Subtract 399 from both sides
119 = 34h
Divide both sides by 34
3.5 = h