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kenny6666 [7]
3 years ago
13

What's 8n-(2n-3)=12?

Mathematics
1 answer:
Alborosie3 years ago
6 0
8n- (2n-3) =12
8n-2n= 12+3
6n=15
n= 2.5

Hope this helps :)
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12) A candy company used 8 gallons of syrup to make 4 batches of candy. What is the rate of syrup per batch? Please show work
kupik [55]
It should be 8 divided by 4 which is 2:)
3 0
3 years ago
A square has a perimeter of 12x+52 units. Which expression represents the side leagth of the square in units
Harrizon [31]

Answer:

12x/2 or 52/2

Step-by-step explanation:

Ok, perimeter is length+length+width+width. 12x/2 and 52/2 could are probably the answers.

6 0
3 years ago
Dwight is making accessories for the soccer team. He uses 648.62 inches of fabric on headbands for 39 players and 2 coaches. He
krek1111 [17]

Answer:

24.33 inches

Step-by-step explanation:

inches of fabric on headbands = 648.62 inches

39 players and 2 couches = 41 people

Inches of fabrics per person = Total headbands inches / number of people

= 648.62 inches / 41

= 15.82 inches per person

Inches of fabrics used for headbands per person = 15.82 inches

inches of fabric on wristbands = 331.89 inches

Used for players alone

Inches of fabrics for wristband pee person = Total inches of fabrics for wristband / number of people

= 331.89 inches / 39 players

= 8.51 inches

Inches of fabrics used for wristband per person = 15.82 inches

How much fabric was used on a headband and wristband for each player?

= Inches of fabrics used for headbands per person + Inches of fabrics used for wristband per person

= 15.82 inches + 8.51 inches

= 24.33 inches

Inches of fabrics used on headband and wristband for each player is 24.33 inches

3 0
3 years ago
To save money, you put $200 in your bank account each week. After saving for 4 weeks, you have $1,700$ dollars in your account.
kozerog [31]
Let's say the savings in your account are given by $V, the number of weeks by n and the starting balance by $x:
V = x + 200n

Now if after saving for 4 weeks you have $1700 in your account, then:
1700 = x + 200*4
1700 = x + 800
x = 900, thus your starting balance is $900

Using this information we can now write up the general equation for the savings at the end of each week:
V = 900 + 200n
4 0
3 years ago
Read 2 more answers
1. which data set represents an increasing, linear function? (1 point)
GenaCL600 [577]
#1) A
#2) B
#3) C
#5) A
#7) D
#10) D
#11) D
#14) A
#15) D
#16) A
#19) D

Explanation
#1)  If the data set is linear, the slope will be constant throughout the entire data set.  For data set A, the slope between the first two points is:
m = (y₂-y₁)/(x₂-x₁) = (1--2)/(3-1) = 3/2
Between the second two points,
m=(4-1)/(5-3) = 3/2
Between the third pairs of points,
m=(7-4)/(7-5) = 3/2

The slope is constant throughout the entire set.  The set is also increasing; as x increases, y increases as well.

#2)  Substituting 4 for y and 1 for x, 
y = (x+1)²
4 = (1+1)² = 2²
9 = (1+2)² = 3²
16 = (1+3)² = 4²
This works for each point, so this is the solution.

#3) Since he runs 10 laps per hour t, this is 10t.  Adding the first lap to this, we get y=10t+1.

#5) If a sequence is arithmetic, each term is found by adding a constant (called the common difference) to the previous term.  If the common difference is 2, this means that 2 was added each time.  This only works for choice A.

#7) For x to vary directly as y, this means that y/x = k; in other words, the quotient of y and x is constant for every point.

#10) The formula for slope is:
m=(y₂-y₁)/(x₂-x₁)

Using the information we're given, we have
3=(d-5)/(4-2)
3=(d-5)/2

Multiply both sides by 2:
3*2 = ((d-5)/2)*2
6 = d-5

Add 5 to both sides:
6+5 = d-5+5
11 = d

#11) Using point slope form,
y-y₁ = m(x-x₁)
y-1 = 3(x--2)
y-1 = 3(x+2)

Using the distributive property,
y-1 = 3*x + 3*2
y-1 = 3x + 6

Add 1 to both sides:
y-1+1 = 3x+6+1
y=3x+7

#14) If two lines are parallel, they have the same slope.  The slope of the given equation is 4; the only one with a slope of 4 is A.

#15) If two lines are perpendicular, they have slopes that are negative reciprocals (opposite signs and flipped).  The slope of the given equation is 2; this means the slope of the perpendicular line would be -1/2.  The only one with this slope is D.

#16)  The two equations are not the same, so there are not infinitely many solutions.  The variables do not both cancel, so there is at least one solution.  This only leaves one solution as the answer.

#19)  Using 1 for 7 and 4 for x, we check each equation.  The only one that comes out correct is D.
3 0
3 years ago
Read 2 more answers
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