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4 years ago

If 6 notebooks cost 2.50, how much will 9 notebooks cost at the same rate?

Mathematics

2 answers:

ipn [44]4 years ago

5 0

I believe it is $3.33

GuDViN [60]4 years ago

3 0

$2.50/6 = $0.41

$0.41 x 9 = $3.69

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X+(x+1)+(×+2)=336. the question is the sum of three consecutive integers is 336

vodomira [7]

Answer:

x = 111

Step-by-step explanation:

1.) x + (x + 1) + (x + 2) = 336

2.) x + x + 1 + x + 2 = 336

3.) 3x + 3 = 336

4.) 3x = 333

4.) x = 111

Check Work:

1.) 111 + (111 + 1) + (111 +2) = 336

2.) 111 + 111 + 1 + 111 + 2 = 336

3. ) 222 + 1 + 111 + 2 = 336

4.) 222 + 114 = 336

5.) 336 = 336

6 0

3 years ago

5 gallons buckets of paint for $97.45 of a 1 gallon bucket of pain for $21.95.

postnew [5]

The five gallons is cheaper since 97.45 divided by 5 is equal to 19.49.

7 0

4 years ago

Help me I keep getting it wrong

gtnhenbr [62]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = $\frac{2}{3}$ x - 6 ← is in slope- intercept form

with slope m = $\frac{2}{3}$

Parallel lines have equal slopes , then

y = $\frac{2}{3}$ x + c ← is the partial equation

To find c substitute (9, 2) into the partial equation

2 = 6 + c ⇒ c = 2 - 6 = - 4

y = $\frac{2}{3}$ x - 4 ← equation of parallel line

-------------------------------------------------------------------

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{\frac{2}{3} }$ = - $\frac{3}{2}$ , then

y = - $\frac{3}{2}$ x + c ← is the partial equation

To find c substitute (9, 2) into the partial equation

2 = - $\frac{27}{2}$ + c ⇒ c = 2 + $\frac{27}{2}$ = $\frac{31}{2}$

y = - $\frac{3}{2}$ x + $\frac{31}{2}$ ← equation of perpendicular line

4 0

3 years ago

What is the solution of -8 / 2 y - 8 equals 5 / y + 4 - 7 y + 8 / Y 2 - 16

AysviL [449]

Answer:

The value of y is 6.

Step-by-step explanation:

The given equation is

$\dfrac{-8}{2y-8}=\dfrac{5}{y+4}-\dfrac{7y+8}{y^2-16}$

It can be rewritten as

$\dfrac{-8}{2(y-4)}=\dfrac{5}{y+4}+\dfrac{7y+8}{y^2-4^2}$

$\dfrac{-4}{(y-4)}=\dfrac{5}{y+4}+\dfrac{7y+8}{(y+4)(y-4)}$

Multiply both sides by (y+4)(y-4).

$(y+4)(y-4)(\dfrac{-4}{(y-4)})=(y+4)(y-4)(\dfrac{5}{y+4})+(y+4)(y-4)(\dfrac{7y+8}{(y+4)(y-4)})$

$(y+4)(-4)=(y-4)(5)+7y+8$

$-4y-16=5y-20-(7y+8)$

$-4y-16=5y-20-7y-8$

$-4y-16=-2y-28$

$-4y+2y=-28+16$

$-2y=-12$

Divide both sides by -2.

$y=6$

Therefore, the value of y is 6.

5 0

3 years ago

Percent increase from 6 to 10.50

borishaifa [10]

10,50 - 6,00 = 4,50

6............100%
4,50..........x

6x = 450
x = 450/6
x = 75%

3 0

4 years ago