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nignag [31]
3 years ago
6

Please answer this correctly please

Mathematics
1 answer:
Phantasy [73]3 years ago
7 0

If we have 2 more blue pens than black pens, our blue pens can be rewritten as blue = 2 + black. Now we can set up an equation. Originally this equation would involve both blue and black, but since we only have 1 equation to set up, we can only have 1 unknown. That's why we base the number of blue pens on the number of black pens and do a substitution. So instead of blue + black = 94, we have (black + 2) + black = 94. That simplifies to 2 black + 2 = 94, and 2 black = 92. Now if we divide by 2, we get that the number of black pens is 46. If we have 2 more blue than black, the number of blue pens we have is 48. 46 + 48 = 94, so there you go!

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Simplify each expression
joja [24]

Answer:

14y

8x

10x

8x+4

6x+6

8x+4

8 0
3 years ago
A triangle with vertices (0, 4), (3, 7) and (5, 1) is translated a distance of 4 units to the left. What are the new coordinates
STALIN [3.7K]
The new coords are (-4, 4), (-1,7) and (1,1)
5 0
3 years ago
You are making juice from concentrate. The directions on the packaging say to mix
mel-nik [20]

Answer:

25 can.                            

Step-by-step explanation:

Here is the complete question: You are making juice from concentrate. The directions on the packaging say to mix  1 can of juice with 3 cans of water to make orange juice. How many 12 fluid ounces cans of the concentrate are required to prepare 200 6-ounce servings of orange juice?

Given: Ratio to make juice with concentrate:water is 1:3.

As required we need to prepare 200 6 ounce serving of Orange juice.

∴ 200\times 6= 1200\ ounce

Let there be x ounce of concentrate and 3x ounce of water to make 1200 ounce of orange juice.

Now, x+3x= 1200

∴ x= 300 ounce

Next, lets find out how many cans of 12 ounce is required.

\frac{300}{12} = 25\ cans

∴ 25 cans is required to make 1200 ounce of orange juice.

3 0
3 years ago
Cos(x+y)/cos(x)sin(y)=cot(y)-tan(x)
zhuklara [117]
So there is an identity we'll need to use to solve this:

cos(x+y) = cosxcosy - sinxsiny

replace the numerator with the right hand side of that identity and we get:

(cosxcosy - sinxsiny)/cosxsiny

Separate the numerator into 2 fractions and we get:

cosxcosycosxsiny- sinxsiny/cosxsiny

the cosx's cancel on the left fraction, the siny's cancel on the right fraction and we're left with:

cosy/siny - sinx/cosx

which simplifies to:

coty - tanx




7 0
3 years ago
Find the solution set of the inequality:<br> -3x + 8 &lt; 15−3x+8&lt;15
makkiz [27]

Answer:

x=(8/3, infinity)

Step-by-step explanation:

-3x+8<15-3x+8

-3x+8<-3x+23

8<23

15-3x+8<15

23-3x<15

-3x<-8

x>8/3

Therefore, x=(8/3, infinity)

3 0
3 years ago
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