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Mariana [72]
3 years ago
7

8 copies of the sum of 4 thirds and 2 more. Write an expression to match, and then evaluate.

Mathematics
1 answer:
liberstina [14]3 years ago
4 0

Answer:

Expression: 8\times(\frac{4}{3}+2)

26\frac{2}{3}

Step-by-step explanation:

We are asked to write an expression and evaluate the expression.

4-thirds would be \frac{4}{3}.

The sum of 4-thirds and 2 more would be \frac{4}{3}+2.

8 copies of 4-thirds and 2 more would be 8 times \frac{4}{3}+2.

8\times(\frac{4}{3}+2)

Let us solve the expression.

8\times(\frac{4}{3}+\frac{2*3}{3})

8\times(\frac{4}{3}+\frac{6}{3})

8\times(\frac{4+6}{3})

8\times(\frac{10}{3})

\frac{8\times10}{3}

\frac{80}{3}

26\frac{2}{3}

Therefore, the solution for our given equation would be 26\frac{2}{3}.

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I'm stuck on number 1 can somebody help me out?please☺
yuradex [85]
You have to find the common denominator which is 4 and multiply 26 by 4 which equals 104 add 3 which is 107 and divide by 4


Answer:107/4
7 0
3 years ago
IF=2x+2, IZ=2x+12 solve for x
Digiron [165]
ANSWER

The value of x is

9


EXPLANATION

F is the point of intersection of the medians of the triangle,

The ratio is

IF:IZ=2:3


This implies that,

(2x + 2): (2x + 12) = 2: 3


We can write this as a fraction to get,

\frac{2x + 2}{2x + 12}  =  \frac{2}{3}


We cross multiply to get,

3(2x  + 2) = 2(2x + 12)

Let us expand the brackets yo obtain,

6x + 6 = 4x + 24


We group like terms to get,

6x - 4x = 24 - 6


2x = 18


We divide both sides by 2 to get,

x = 9

The correct answer is B.
8 0
3 years ago
An experienced cashier at a grocery store takes 2 seconds to scan each item and 40 seconds to process the customer's payment. 1)
lina2011 [118]

The answers are 1) D. 43 items and 2) B. 58 seconds.

Step-by-step explanation:

Step 1; An experienced cashier takes a time of 2 seconds per item and another 40 seconds for processing the customer's payment. So if it took 2 minutes 6 seconds which equals ( 2× 60 ) + 6 = 126 seconds for a customer. Out of these 126 seconds, the last 40 seconds were to process the customer's payment so 126 seconds - 40 seconds = 86 seconds. So it took 86 seconds to scan the items and as it takes 2 seconds per item we divide 86 by 2 to get the number of items. So 86 / 2 = 43 items which is option D.

Step 2; Anna brought 31 items and due to some glitch, the total time took 2 minutes. So for 31 items, it took the cashier 31 × 2 = 62 seconds, 1 minute 2 seconds. So out of the 2 minutes, 1 minute 2 seconds were used to scan the items. So the remaining time was 2 minutes (120 seconds) - 1 minute 2 seconds (62 seconds) = 58 seconds which was the processing time. So option B is the answer.

5 0
3 years ago
A museum charges $12.50 for a one-day youth admission and $17.50 for a one-day adult admission. One Friday, the museum collected
tatuchka [14]

Answer:

number of youth admissions sold (x) = 74

number of adult admissions sold (y) = 32

Step-by-step explanation:

Let x = number of youth admissions

Let y = number of adult admissions

Given:

  • total number of admissions sold = 106

⇒ x + y = 106

Given:

  • cost of youth admission = $12.50
  • cost of adult admission = $17.50
  • total amount collected = $1485

⇒ 12.5x + 17.5y = 1485

Rewrite  x + y = 106 to make y the subject:

⇒ y = 106 - x

Substitute  y = 106 - x  into 12.5x + 17.5y = 1485 and solve for x:

⇒ 12.5x + 17.5(106 - x) = 1485

⇒ 12.5x + 1855 - 17.5x = 1485

⇒ 5x = 370

⇒ x = 74

Substitute found value of x into y = 106 - x to find y:

⇒ y = 106 - 74

⇒ y = 32

8 0
2 years ago
Solve the inequality. 3/4 x - 2/3 ≤ 5/6
Andrei [34K]

Answer:

x is less than or equal to 2 (x_<2)

Step-by-step explanation:

solved the equation

7 0
3 years ago
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