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2 years ago

A+ ab + b for a = 11, b = 8

Mathematics

1 answer:

SVETLANKA909090 [29]2 years ago

5 0

Answer:

107

Step-by-step explanation:

Plug in 11 for a, and 8 for b.

a + ab + b

(11) + (11 * 8) + (8)

Remember to follow PEMDAS. First multiply, then combine terms:

11 + (11 * 8) + 8

11 + (88) + 8

99 + 8

107

107 is your answer.

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Suppose a sample of 716 suspected criminals is drawn. Of these people, 286 were captured. Using the data, estimate the proportio

tamaranim1 [39]

Answer:

The proportion is p = 0.399

Step-by-step explanation:

The estimate of a proportion is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes:

286 people captured, so D = 286.

Total outcomes:

Sample of 716 suspected criminals, so T = 716.

Proportion

$p = \frac{286}{716} = 0.399$

5 0

2 years ago

A bag contains 5 2/5kg of sand. The bag has a hole in it. Every 10 minutes, 1 2/3kg of sand escapes from the bag. After 20 minut

fenix001 [56]

Quantify of sand in a bag =

$= \: 5 \frac{2}{5} \ \:$

$= \frac{(5 \times 5 +2) }{5}$

$= \frac{27}{5} \: kg$

Quantity of sand that escapes in every 10 minutes :-

$= 1 \frac{2}{3} kg$

Quantity of sand that will escape in 20 minutes :-

$= 1 \frac{2}{3} \times 2$

$= \frac{(3 \times 1 + 2)}{3} \times 2$

$= \frac{5}{3} \times 2$

$= \frac{10}{3}$

Quantity of sand that will remain in the sand bag :-

$= \frac{27}{5} - \frac{10}{3}$

$= \frac{(27 \times 3)}{15} - \frac{(10 \times 5)}{15}$

$= \frac{81}{15} - \frac{50}{15}$

$= \frac{31}{15}$

$= 2 \frac{1}{5} \: kg$

$therefore \: , \: 2 \frac{1}{5} \: kg \: sand \: is \: left \: in \: the \: bag \: .$

3 0

2 years ago

last week, ezra's sold 1/3 of tangerines and Anthony sold 3/4 of tangerines as ezra's did. how many boxes of tangerines did Anth

Bond [772]

Answer:

¼ box

Step-by-step explanation:

Ezra sold ⅓ box of tangerines.

Anthony sold ¾ as many as Ezra = ¾ × ⅓ box

Cancel the 3s = ¼ × ¹/₁ box

Multiply numerators and denominators = ¼ box

Anthony sold ¼ box of tangerines.

6 0

2 years ago

Round 639,121 to the nearest ten thousand.

VLD [36.1K]

Answer:

640,121

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Ralph’s average score for 5 tests was 82. on four of the tests his scores were 85, 73, 92, 66. what was the fifth test score?

SCORPION-xisa [38]

Answer:

Step-by-step explanation:

Let the unknown number be denoted by the variable, x. Also note that, the average can be found by adding all values together and dividing by the amount of values there are.

Set the equation:

(85 + 73 + 92 + 66 + x)/5 = 82

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Simplify first by combining like terms, and then do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& roots)

Multiplications

Divisions

Additions

Subtractions.

Combine like terms:

(85 + 73 + 92 + 66 + x)/5 = 82

(316 + x)/5 = 82

Next, isolate the x, by multiplying 5 to both sides of the equation:

(316 + x)/5 * 5 = (82) * 5

316 + x = 82 * 5

316 + x = 410

Lastly, subtract 316 from both sides of the equation:

x + 316 = 410

x + 316 (-316) = 410 (-316)

x = 410 - 316

x = 94

94 is the final test score.

5 0

2 years ago