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Rom4ik [11]
3 years ago
14

Sasha solved an equation, as shown below:

Mathematics
1 answer:
GaryK [48]3 years ago
7 0
Corrections
8x=56
divide both side by 8
x=7
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PLZ ANSWER APSP IM IN THE TEST RN!!!
olchik [2.2K]

Answer:

x = 38

y = 25

Step-by-step explanation:

To find x, you do

(2x + 5) = (3x - 33)

Subtract 2x from both sides to isolate x on one side, you get:

5 = (x - 33)

Add 33 to both sides to separate the normal number from the x, you get:

38 = x

From there, you plug x into one of the equations

2(38) + 5

The answer's 81, meaning that angle is 81 degrees. Using supplementary angles, you can find that angle ACD = 99, which you can use to find angle BCE. You'll get this equation:

(4y - 1) = 99

Add one to both sides to get rid of it, you get:

4y = 100

Divide by four, to get the y all alone:

y = 25

I hope this helped!

8 0
3 years ago
Read 2 more answers
What would be the scientific notation of 10,200?
larisa86 [58]
It would be 1.02x10^4
7 0
3 years ago
Read 2 more answers
A coat at a store is originally priced at $54.99. The store marks the price down to $32.99. To the nearest percent, what is the
Dmitry_Shevchenko [17]

Answer:

66.6%

Step-by-step explanation:

Step one

given

A coat at a store is originally priced at $54.99

The store marks down the price down to $32.99

Required

the percent decrease

Step two:

the percent decrease= change in price/ old price*100

the percent decrease= 54.99-32.99/54.99*100

the percent decrease= 22/ 32.99*100

the percent decrease= 0.666*100

the percent decrease= 66.6%

6 0
3 years ago
John is driving around town. When he reaches the gas station, he notes that he has traveled 20 miles. He reaches home 2 hours la
Troyanec [42]

Answer:

d=5t+20

Step-by-step explanation:

The equation that will model this situation will be of the form

d=mt+b

where t is the time in hours john has traveled since the gas station, and  d is the distance.

Now we know that John has already traveled 20 miles when he is at the gas station, this means at t=0, d=20; or

20=m(0)+b

\boxed{b=20}

Thus we have

d=mt+20.

Now we need to figure out m.

When John reaches home 2 hours later he notes that he has traveled 30 miles, which means he has traveled 30 - 20 = 10 miles; thus we have

m= \frac{\Delta d}{\Delta t} =\frac{10 miles}{2hours} =5

\boxed{m=5}

Now we have the full equation:

\boxed{d=5t+20}

8 0
3 years ago
In exercises 8-10, write a system of linear equations that has the ordered pair as its solution. (-6, -2)
Anika [276]

Answer:

(8) x + y = -8 and 2x - y = -10

(9) 3x - y = -54 and 4x + y = -30

(10) x + y = 2 and x - y = 2

Step-by-step explanation:

Given [Missing from the question]

(8).\ (-6,-2)\ \\ (9).\ (-12,18)\ \\ (10).\ (2,0)

Required

Write a system of linear equations

The solutions to this question is open and have different solutions

Solving (8) (-6,-2)

Let the equations be: x + y and 2x - y

x + y = -6 - 2

x + y = -8 --- (1)

2x - y = 2 * (-6) - (-2)

2x - y = -10 -- (2)

So, the equations are:

x + y = -8 and 2x - y = -10

Solving (9) (-12, 18)

Let the equations be: 3x - y and 4x + y

3x - y = 3 *(-12) - 18

3x - y = -54

4x + y = 4 * (-12) + 18

4x + y = -30

So, the equations are:

3x - y = -54 and 4x + y = -30

Solving (9): (2,0)

Let the equations be: x + y and x - y

x + y = 2 + 0

x + y = 2

x - y = 2 - 0

x - y = 2

So, the equations are:

x + y = 2 and x - y = 2

5 0
3 years ago
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