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Irina18 [472]
2 years ago
11

Leonardo is solving the equation 4 (x minus one-fifth) = 2 and two-thirds. His work is shown. Where is his error? 4 (x minus one

-fifth) = 2 and two-thirds. Step 1, 4 x minus four-fifths = 2 and two-thirds. Step 2, 4 x = StartFraction 8 over 3 EndFraction + four-fifths. Step 3, 4 x StartFraction 40 over 15 EndFraction + StartFraction 16 over 15 EndFraction. Step 4, 4 x = StartFraction 56 over 15 EndFraction times one-fourth. X = StartFraction 14 over 15 EndFraction. step 1 step 2 step 3 step 4
Mathematics
2 answers:
stealth61 [152]2 years ago
8 0

Answer:

The Answer Is Step: 3

Step-by-step explanation:

I Took The Test

astraxan [27]2 years ago
6 0

Answer:

Step 3

Step-by-step explanation: trust me i took it on edge

You might be interested in
Nikki drew a rectangle with a perimeter of 18 units on a coordinate grid. Two of the vertices were (4, –3) and (–1, –3). What co
Talja [164]

Answer:

There are two possible solutions for the other two vertices of the rectangle:

(i) (4, 1), (-1, 1), (ii) (4, -7), (-1, -7)

Step-by-step explanation:

Geometrically speaking, the perimeter of a rectangle (p) is:

p = 2\cdot b + 2\cdot h (1)

Where:

b - Base of the rectangle.

h - Height of the rectangle.

Let suppose that the base of the rectangle is the line segment between (4, -3) and (-1, -3). The length of the base is calculated by Pythagorean Theorem:

b = \sqrt{[(-1)-4]^{2}+[(-3)-(-3)]^{2}}

b = 5

If we know that p = 18 and b = 5, then the height of the rectangle is:

2\cdot h = p-2\cdot b

h = \frac{p-2\cdot b}{2}

h = \frac{p}{2}-b

h = 4

There are two possible solutions for the other two vertices of the rectangle:

(i) (4, 1), (-1, 1), (ii) (4, -7), (-1, -7)

8 0
2 years ago
Four people at pia’s pottery shop each make 29 mugs and 18 pottery bowls three people at Jason’s craft shop each make the same n
BartSMP [9]

The seven people made 383 objects in all

Step-by-step explanation:

The given is:

  • Four people at pia’s pottery shop each make 29 mugs and 18 pottery bowls
  • Three people at Jason’s craft shop each make the same number of mugs and twice as many pottery bowls

We need to find how many objects the seven people made in all

∵ Four people at pia’s pottery shop each make 29 mugs

∵ Three people at Jason’s craft shop each make the same

    number of mugs

∴ Seven people in the two shops made 29 mugs each

∴ The total number of mugs = 7 × 29

∴ The total number of mugs = 203

∵ Four people at pia’s pottery shop each make 18 pottery bowls

∵ Three people at Jason’s craft shop each make twice as

    many pottery bowls

- Multiply the number of bowls by 2

∴ Three people at Jason’s craft shop each make 2 × 18 = 36

   pottery bowls

∴ The total number of pottery bowls = (4 × 18) + (3 × 36)

∴ The total number of pottery bowls = 72 + 108

∴ The total number of pottery bowls = 180

Now add the total number of mugs and the total number of pottery bowls to find the total number of objects the seven people made

∵ The total number of mugs is 203

∵ The total number of pottery bowls is 180

∴ The total number of objects = 203 + 180

∴ The total number of objects = 383

The seven people made 383 objects in all

Learn more;

You can learn more about the word problems in brainly.com/question/10557938

#LearnwithBrainly

8 0
2 years ago
The sixth grade is charging $9 per car to wash cars. The fifth grade is charging $8.50 per car. Suppose each grade washes 50 car
ArbitrLikvidat [17]
6th graders make $9 per car. $9 times 50 cars
5th graders make $8.50 per car. $8.50 times cars

6th graders earn $450 after washing 50 cars.
5th graders earn $425 after washing 50 cars

$450-$425=$25

The 6th graders make $25 more than the 5th graders.
8 0
2 years ago
Find the value of sin100.sin120.sin140.sin160​
NARA [144]

The value of sin100.sin120.sin140.sin160 is 0.1875

Step-by-step explanation:

To find the value of sin100.sin120.sin140.sin160, let us find the value of each angle.

The value of sin100=0.9848

The value of sin120=\frac{\sqrt{3} }{2}

The value of sin140=0.6428

The value of sin160=0.3420

Substituting the values of sin, we get,

sin100.sin120.sin140.sin160=0.9848*\frac{\sqrt{3} }{2} *0.6428*0.3420

Multiplying the values of sin, we get,

sin100.sin120.sin140.sin160=0.1875

Thus, the value of sin100.sin120.sin140.sin160 is 0.1875

8 0
2 years ago
Mr. Washington is putting his DVDs on a shelf that is 10 2⁄3 inches long. If each DVD is 11⁄20 inches wide, how many DVDs can he
omeli [17]
(10 2/3)/(11/20)

(32/3)/(11/20)

(32/3)*(20/11)

640/33

19 13/33  since DVDs are integer units Mr. Washington can only have 19 DVD's side-by-side.


4 0
2 years ago
Read 2 more answers
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