Jack has 3 boxes of pencils with the same number of pencils in each box. His mother gives him 4 more pencils. now jack has 28 pencils. How many pencils are in each box?

Answers

Answer 1

Answer: Here is the answer to the question above. Given that Jack has 3 boxes of pencils with the same number of pencils in each box. Since he has now 28 pencils all in all because his mother gave him 4, therefore, the original number of pencils he has is 24. Since he has 3 boxes, 24 divided by 3 is 8. Therefore, each box has 8 pencils. Hope this helps.

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Admission for a movie is $8 for children and $12 for adults. On a certain day, 3200 people attend the movie theater and $33,040 is collected.How many children and how many adults attended the movies?

children

adults

Answers

Let us assume the number of children attending the movie = x
Let us also assume the number of adults attending the movie = y
Cost of admission for a children in the movie = $8
Cost of admission of an adult in the movie = $12
Number of people going to the movie on a certain day = 3200
Total amount collected from the movie theater = $33040
Then
x + y = 3200
And
8x + 12y = 33040
2x + 3y = 8260
Let us first take the equation
x + y = 3200
x = 3200 - y
Now we will put the value of x in the equation
2x + 3y = 8260
2(3200 - y) + 3y = 8260
6400 - 2y + 3y = 8260
y = 8260 - 6400
= 1860
Now we will put the value of y from the above deduction in the equation
x + y = 3200
x + 1860 = 3200
x = 3200 - 1860
= 1340
So the number of children going to the movie theater is 1340 and the number of adults going to the movie theater is 1860.

Jacob is showing his steps to solve the expression −27.8 ÷ 1 over 7.In which step did Jacob make an error?

Step 1: −27.8 ÷ 1 over 7
Step 2: −27.8 ⋅ 7

Step 3: −194.6

Step 1

Step 2

Step 3

There is no error.

Answers

Answer:

D.There is no error.

Step-by-step explanation:

We are given that Jacob is showing his steps to solve the expression

$-27.8/(1)/(7)$

We have to find the error in Jacob steps in which he makes error

Jacob writes his first step

Step:1 $-27.8/ (1)/(7)$

Jacob's first step is true.

We know that if we changes divide sign of term into multiply then the the term which is write on right side of divide sign reciprocal. Therefore,

Step:2 $-27.8*7=-27.8\cdot 7$

Hence, Jacob's second step is right.

Now , we multiply -27.8 with 7 then we get

Step:3 $-27.8\cdot7=-194.6$

Hence, Jacob's third step is also right.

Therefore, Jacob makes no error in his steps.

Hence, Option D is true.

There is no error, Jacob did everything right :)

Solve for x algebraically; (2/3x)+(4/x)=(7/(x+1))

Answers

$(2)/(3x) + (4)/(x) = (7)/(x+1) \n \nx\neq 0 \ \ and \ \x+1\neq 0 \n \nx\neq 0 \ \ and \ \x \neq -1$

$(2 )/(3x)+(4)/(x) = (7)/(x+1) \n\n\ (2+12)/(3x) = (7)/(x+1) \n \n(14)/(3x) = (7)/(x+1)\n \n14(x+1)=3x\cdot 7$

$14 x+14=21x \n \n14=21x-14x \n \n 7x=14 \ \ /: 7 \n \nx=2$

$(2)/(3x) + (4)/(x) = (7)/(x+1)$

$(2)/(3x) + (12)/(3x) = (7)/(x+1)$

$(14)/(3x) = (7)/(x+1)$

$Cross\ multiply :$

$14(x+1) = 7 * 3x$

$14x+14 = 21x$

$14x-21x =-14$

$-7x =-14$

$x = (-14)/(-7)$

$\boxed{x=2}$

Whats 30+30×b=100 please

Answers

First multiply

30 + 30 × b = 100
30b + 30 = 100

subtract 30 from each side

30b = 70

divide each side by 30

b = 70/30 = 7/3 = 2 1/3

30 +30= 60
60b=100
B=40

Can someone help me please

Answers

Area of rhombus = length x height = 6 x 4 = 24 units²

Answer: 24 units²

What is the answer to the equation7/8(x - 1/2)=-49/80

Answers

7/8(x-1/2)=-49/80
70/80(x-40/80)=-49/80 make all common denominator
x-40/80=-56/80 divide -49/80 by 70/80 to isolate parentheses
x=16/80 or 1/5 add 40/80 to isolate x

I'm not sure if my answer right because I was rushing but if you follow what I wrote next to the lines you should get the right answer

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