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
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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!)
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
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
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
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
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]
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^_^
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
0.125, 2/5, 65%, 0.5, 1/4, 80%, 0.232 in order from greatest to least
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
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
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
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
What’s the answer to this? Please send help
Answer:
But I see no attachment....pls recheck
Factor this polynomial completely.
6x2 + 7x - 20
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)
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
Five times the sum of a number and 7 is 8
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:
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
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:
can someone please help me with this?
I think the given figure will help you....
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
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
what is the rule division property of radicals?
Answer:
Divide the numbers from within the radicals.
How would I graph y = 5/3 x -9
(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
HELP WITH B, C, & D PLS: g(x) = 2x2 + 5x + 1, find: -3g(3)
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
i need help with this question
Answer:
-14.50, -8/4, 4.2, 15/2, 12.072, 12.25