All categories

3 years ago

Find the missing number based on the description below:

Mathematics

1 answer:

Nat2105 [25]3 years ago

8 0

Answer:

The number is -2

Step-by-step explanation:

12 less than 7 times a number can be express as follows,

let the number = a

7a - 12

According to the question the number 7a - 12 is equals to 32 less than the product of - 3 and the number.

32 less than the product of -3 and the number can be express below.

-3a - 32. Therefore,

7a - 12 = -3a - 32

collect like terms

7a + 3a = - 32 + 12

10a = -20

divide both sides by 10

a = -20/10

a = -2

The number is -2

You might be interested in

You are playing a board game with your little sister. Moves are determined by rolling 2 six-sided dice. The red die tells you th

enot [183]

Answer: The probability is 1/9.

Step-by-step explanation:

First, let's define the possible outcomes of each dice:

Red: Forward (4 times), Backward (2 times)

Green : {1, 1, 2, 2, 3, 4}

We want to find the probability of moving backward 2 spaces.

Then we need to find the probability of rolling a "backward" in the red dice, and a 2 in the green dice.

First, the probability of rolling a backward in the red dice is equal to the quotient between the number of outcomes that are "backward", and the total number of outcomes in the dice (there are 2 backwards and 6 outcomes in total), this is:

p1 = 2/6 = 1/3.

And the probability of rolling a 2 in the green dice is equal to the quotient between the number of outcomes with a 2, and the total number of outcomes. (The 2 appears two times, and there are 6 possible outcomes):

p2 = 2/6 = 1/3.

Now, the probability of both events happening at the same time is equal to the product of the individual probabilities, then the probability of moving backwards 2 spaces is:

P = p1*p2 = (1/3)*(1/3) = 1/9.

7 0

3 years ago

If 26.97 ÷ 6.3 is written in long division form as so that the divisor is written as a whole number, where should the decimal po

Soloha48 [4]

<h2>Answer:</h2>

The decimal point should be placed between digits 9 and 7 in the dividend. i.e the dividend becomes 269.7

<h2>Step-by-step explanation:</h2>

Dividend = 26.97 [numerator]

Divisor = 6.3 [denominator]

If 26.97 ÷ 6.3 is written in long division form so that the divisor is written as a whole number, we have the following;

(i)First convert the divisor to a whole number by multiplying by 10 i.e

6.3 x 10 = 63

(ii) Since the divisor (denominator) has been multiplied by 10, to make sure the division expression stays the same, we need to multiply the dividend(numerator) too by 10. i.e

26.97 x 10 = 269.7

(iii) The division expression then becomes;

269.7 ÷ 63

Therefore, the decimal point should be placed between digits 9 and 7 in the dividend.

8 0

3 years ago

Seven hotdogs and four hamburgers cost $13. Four hotdogs and seven hamburgers cost $14.50. How much does one hamburger cost and

viva [34]

Answer:

hotogs=$1.50 hamburgers=$1

Step-by-step explanation:

h=hotdog b=hamburger

7h+4b=13

4h+7b=14.5

(7h+4b=13)-4b

4h+7b=14.5

h=-0.57b+1.86

4h+7b=14.5

8 0

3 years ago

Will give brainliest!!! The MTC Theater holds 250 people, and last night’s performance sold out! Students under the age of 16 pa

MakcuM [25]

60 children tickets and 190 adult tickets were sold.

Step-by-step explanation:

Let the no. of adult tickets sold be 'a'

Let the no. of children tickets sold be 'c'

Total tickets sold = 250

Cost of 1 children ticket = $2.5

Cost of 1 adult ticket = $4

Total money collected= $910

Given that,
a + c = 250
a = 250 - c
4a + 2.5c = 910

Substitute a value
4(250 - c) + 2.5c = 910
1000 - 4c + 2.5c = 910
1000 - 1.5c = 910
-1. 5c = -90
1.5c = 90
c = 90/1.5
c = 60
a + c = 250
a + 60 = 250
a = 190

4 0

3 years ago

How can you find the slope of a line and use it to<br> solve problems?

ziro4ka [17]

Answer:

Step-by-step explanation:

1) Mark two points on the line in the graph.

2) Determine the rise and run. Rise ---> difference in y-coordinates. (y2-y1)

Run -----> difference in x-coordinates (x2 - x1)

3) Plugin the values in the below mentioned formula.

$Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

1.If slope = 0, then the line is parallel to x-axis.

2. If slope is undefined, then the line is parallel to y-axis.

3. If slope is +ve, then the line slant upwards and if slope = -ve, then the line slant downwards.

5 0

3 years ago