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Slav-nsk [51]
2 years ago
11

10. The sum of two numbers is 13 more than twice the first number. Their difference is 14 less than the second number. Find each

of the numbers.
Mathematics
1 answer:
Lynna [10]2 years ago
3 0

The sum of two numbers is 13 more than twice the first number:

x + y = 2x +13

x - y = y - 14

solve the system of equations:

x - (x + 13) = (x +13) - 14

x = -12

y = 1

   

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16. write an inequality for each graph
Harrizon [31]

Answer:

Question 16

(a) x < 1 : the values of x are smaller than than 1 (e.g. possible values are 0, -1, -2, etc) and since the circle is not shaded it means that 1 isn't a possible value of x

(b) x \geq -2 : the circle is filled therefore -2 is included in the answer

Question 17

(a) unfilled dot above -2 and arrow pointing to the left

(b) shaded circle above 4 with and arrow pointing to the right →

7 0
2 years ago
Which one of the following reasons does NOT explain why 4x+5y≠9xy?
viva [34]
<h3>The terms 4x and 5y has different variable present in it. 4x + 5y \neq 9xy</h3>

<em><u>Solution:</u></em>

Given that,

4x + 5y \neq 9xy

<em><u>The reason is:</u></em>

When we are adding terms which has exactly the same variables, we must add the constants and let the result stand with variable

Which means,

4x + 10x = 14x

But,

We cannot add terms that has different variable

Which means,

4x + 5y

Here, both the terms 4x and 5y has different variable present in it. Hence they cannot be added together

4x+5y\neq 9xy

6 0
2 years ago
Jennifer made 5 Liters of punch for her party. Her brother made another 750 milliliters if they combine the two batches how many
tia_tia [17]

Answer:

Step-by-step explanation:

The total amount of punch that Jennifer made for her party is 5 Liters. Her brother made another 750 milliliters.

1000 milliliters = 1 liter

750 milliliters = 750/1000 = 0.75Liter

if they combine the two batches, the total amount made would be

5 + 0.75 = 5.75Liter

= 5.75 × 1000 = 5750 milliliters

The number of 180 milliliters servings would be

5750/180 = 31 servings

There would be leftovers of 170 milliliters

7 0
3 years ago
Suppose three marksmen shoot at a target. The ith marksman fires ni times, hitting the target each time with probability Pi, ind
astraxan [27]

Answer:

Distribution is NOT binomial.

Step-by-step explanation:

In order to be a binomial distribution, the probability of success for each individual trial must be the same. Since each marksman hits the target with probability Pi, the probability of success (hitting the target) is not necessarily equal for all trials. Therefore, the distribution is not binomial.

In this case, the distribution would only be binomial if Pi was the same for every "ith" marksman.

6 0
2 years ago
What is the equation of the line that passes through the point (-2,-2)and has a slope of 2
SOVA2 [1]

Answer:

y+2 = 2(x+2)

Step-by-step explanation:

given point (a,b) and slope m, point slope form of a line is:

y-b = m(x-a)

3 0
3 years ago
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