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Ostrovityanka [42]
3 years ago
8

What is the solution to the open sentence? 8y + 7 = y + 21 A. 2 B. 4 C. 7 D. 14

Mathematics
1 answer:
Airida [17]3 years ago
7 0
8y+7= y+21
Subtract y from both side
7y+7=21
Subtract 7 from both sides
7y = 14
Divide both sides by 7
Y=2 or A


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Coefficiants of (2x+y)^4​
sattari [20]

By the binomial theorem,

(2x+y)^4=\displaystyle\sum_{k=0}^4\binom 4k(2x)^{4-k}y^k=\sum_{k=0}^4\binom 4k2^{4-k}x^{4-k}y^k

where

\dbinom nk=\dfrac{n!}{k!(n-k)!}

Then the coefficients of the x^{4-k}y^k terms in the expansion are, in order from k=0 to k=4,

\dbinom 402^{4-0}=1\cdot2^4=16

\dbinom412^{4-1}=4\cdot2^3=32

\dbinom422^{4-2}=6\cdot2^2=24

\dbinom432^{4-3}=4\cdot2^1=8

\dbinom442^{4-4}=1\cdot2^0=1

3 0
3 years ago
a box holds red pens and blue pens the ratio of red pens to blue pens is 1 to 4 The box holds 12 more blue pens than red pens wh
Genrish500 [490]

Answer:

20 pens

Step-by-step explanation:

if there is 1 red pen for every 4 blue pens

then

4 red pens would have 16 blue pens with it. makes a total of 20 pens, with 12 more blue pens than red pens

7 0
3 years ago
A jewelry company prints a hidden logo watermark. The watermark is a chord that is 0.8 cm from the center of a circular ring tha
Sergeeva-Olga [200]

Answer:

length of chord is 6cm

Step-by-step explanation:

Here, we are to calculate the length of the chord.

It should be understood that the chord has a length of 0.8cm from the center of the circle of radius 3cm, thereby forming two right-angled triangles with the radius 3cm being the hypotenuse of each and 0.8cm being the height of each.

Now, the chord is divided into 2 by this height dropping from the center of the circle. To calculate the first half, we use Pythagoras’ theorem with 3cm being hypotenuse and 0.8cm being the other side.

mathematically;

3^2 = 0.8^2 + l^2

9 = 0.64 + l^2

l^2 = 9-0.64

l^2 = 8.36

l = √(8.36)

l = 2.89 approximately

The length of the chord would be 2l = 2 * 2.89 = 5.78 cm which is 6cm to the nearest length

5 0
3 years ago
It's a set question.. I need your help​
SOVA2 [1]

Answer:

1)164%

Step-by-step explanation:

plus them you'll get the answer

5 0
3 years ago
Which are the coordinates of the x-intercept in the equation −4x+5y=20 ?
elena-14-01-66 [18.8K]

Answer: (-5,0)

Step-by-step explanation:

-4x + 5y = 20   the x intercept is when y is zero so input zero into the equation and solve for x.

-4x + 5(0) = 20

-4x = 20

x = -5  

4 0
3 years ago
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