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Rashid [163]
3 years ago
6

4x + y = 23 3x - y = 11

Mathematics
2 answers:
svlad2 [7]3 years ago
8 0

Answer:it will be x= 34/7 and y= 25/7

Step-by-step explanation:4x+y=23for y:

4x+y=23

4x+y+−4x=23+−4x(Add -4x to both sides)

y=−4x+23

−4x+23foryin3x−y=11:

3x−y=11

3x−(−4x+23)=11

7x−23=11(Simplify both sides of the equation)

7x−23+23=11+23(Add 23 to both sides)

7x=34

7x

7

=

34

7

(Divide both sides by 7)

x=

34

7  

Step: Substitute

34

7

forxiny=−4x+23:

y=−4x+23

y=−4(

34

7

)+23

y=

25

7

(Simplify both sides of the equation)  

Answer:

x=

34

7

and y=

25

7  

elixir [45]3 years ago
5 0

Answer:

Step-by-step explanation:

4x + y = 23

3x - y = 11

I got x = 34/7

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gayaneshka [121]

Answer:

see explanation

Step-by-step explanation:

The nth term of an AP is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₅ is double a₇ , then

a₁ + 4d = 2(a₁ + 6d) , that is

a₁ + 4d = 2a₁ + 12d ( subtract a₁ from both sides )

4d = a₁ + 12d ( subtract 12d from both sides )

- 8d = a₁

The sum of n terms of an AP is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ] , substitute values

S_{17} = \frac{17}{2} ( 2(- 8d) + 16d)

     = 8.5(- 16d + 16d)

     = 8.5 × 0

     = 0

5 0
3 years ago
one of the fastest cars in the world was recently measured covering 5726 meters in 50 seconds what is the unit rate of speed of
IRISSAK [1]

ANSWER

114.52 meters per second

EXPLANATION

We have that the car covers a distance of 5726 meters in 50 seconds.

To find the speed, we have to use the formula for speed which is:

\text{Speed = }\frac{dis\tan ce}{time}

So, the unit rate of speed of the car is:

\begin{gathered} \text{Speed = }\frac{5726}{50} \\ \text{Speed = 114.52 meters per second} \end{gathered}

That is the unit rate of speed of the car in meters per second.

5 0
1 year ago
What is the value of z
never [62]

Answer:

30

Step-by-step explanation:

6 0
3 years ago
Using the pie chart below, if 300 students were polled on their favorite ice cream flavor, how many more students preferred stra
Paladinen [302]
Since there are 300 students you have to use proportions to solve the percents. First for strawberry you need to set up a proportion such as x/300=30/100 to show you are trying to find 30%of 300. Then you must cross multiply so 300 times 30 and 100 times x. Then you have 9,000 and 100, so you divide 9,000 by 100 and then you get 90 which is the portion of kids who liked strawberry flavored ice cream. You should do the exact same thing for vanilla ice cream like this: x/300=29/100 but since you’re finding 29% you need to put a 29 over 100. Then you cross multiply and do 300 times 29 and do x times 100. Which makes you get 8,700 and 100, and then you divide 8,700 by 100 and get 87 for vanilla ice cream. Lastly you need to subtract 87 from 90 since it asked how many more students liked strawberry than vanilla: 90-87=

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3 0
3 years ago
M<N = (5x) and m <l=(x+20). What is the value of X?
Lena [83]

Answer:

<em>x = 5</em>

Step-by-step explanation:

The figure shows two pairs of opposite sides parallel, so quadrilateral KLMN is a parallelogram. Angles N and L are opposite angles in a parallelogram, so their measures are equal.

m<N = m<L

5x = x + 20

4x = 20

x = 5

7 0
3 years ago
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