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Oksi-84 [34.3K]
3 years ago
11

The work of a student trying to solve the equation 4(2x − 1) = 11 + 3x + 5 is shown below: Step 1: 4(2x − 1) = 11 + 3x + 5 Step

2: 8x − 4 = 16 + 3x Step 3: 8x + 3x = 16 − 4 Step 4: 11x = 24 Step 5: x = 2.18 In which step did the student first make an error and what is the correct step?
Mathematics
2 answers:
pantera1 [17]3 years ago
6 0
The answer is Step 3: 8x − 3x = 16 + 4, because you have to subtract 3x not add.
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neonofarm [45]3 years ago
3 0
In step three the prblem was incorrect. this is because you have to add four from both sides leading to 8x=20+3x then you have to subtract 3x which is 5x=20. divinding both sides by 5 is:

X=4 
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6 0
3 years ago
??????????????????????????????????
lina2011 [118]

Answer:

2x + 4 I would assume

3 + 1 = 4

(combining like terms)

6 0
3 years ago
Read 2 more answers
After all the taxes are withheld, Jamie's paycheck is about 80% of his total
Andreyy89

Answer:

Explanation down below.

Step-by-step explanation:

10% of 91.25 = 9.125.

20% of 91.25 = 18.250.

30% of 91.25 = 27.375.

40% of 91.25 = 36.500.

36.500 × 2 = 73.

B, 70 dollars.

8 0
4 years ago
Translate and solve: twenty-three greater than b is at least −276.
masha68 [24]

Answer:

b+23≥-276

b≥-276-23

b≥-299

Step-by-step explanation:

hope this is helpful

6 0
3 years ago
An arch is in the shape of a parabola. It has a span of 100 feet and a maximum height of 25 ft.
faltersainse [42]

Answer:

y=-\frac{1}{100}(x-50)^2+25

the height of the arch 10 feet from the center is 24 feet

Step-by-step explanation:

An arch is in the shape of a parabola. It has a span of 100 feet, the vertex lies at the center 50 and the maximum height of 25 ft.

Vertex at (50,25)

vertex form of the equation is

y=a(x-h)^2+k, (h,k) is the center

y=a(x-50)^2+25

the parabola starts at (0,0) that is (x,y)

0=a(0-50)^2+25

subtract 25 from both sides

-25=a(-50)^2

-25=a(2500)

divide both sides by 2500

a=-\frac{1}{100}

y=-\frac{1}{100}(x-50)^2+25

the height of the arch 10 feet from the center.

center is at 50, 10 feet from the center so x=40 and x=60

y=-\frac{1}{100}(40-50)^2+25

y=24

the height of the arch 10 feet from the center is 24 feet

4 0
3 years ago
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