y = 2x + 10
If the two equations are graphed, at what point do the lines representing the two equations intersect?
(−4, 2)
(4, 2)
(−2, 4)
(2, 4)
Answer: This is a problem of inverse variation, where the number of days that the food lasts is inversely proportional to the number of soldiers in the fort. We can use the formula:
d = k / s
where d is the number of days, s is the number of soldiers, and k is a constant of proportionality. We can find the value of k by using the initial information:
48 = k / 1500 k = 48 * 1500 k = 72000
Now we can use the information after 13 days to find the new number of soldiers. Let x be the number of soldiers who joined the fort. Then we have:
25 = 72000 / (1500 + x) 25 * (1500 + x) = 72000 37500 + 25x = 72000 25x = 34500 x = 1380
Answer: The number of soldiers who joined the fort after 13 days is 1380.
Answer:
The list of event (pulling a face card,F or a number card, N) that correctly makes up the sample space when a card is drawn without replacement is;
FF
FN
NF and
NN
Step-by-step explanation:
Here we have the definition of a sample space as one which has all possible outcomes
Therefore, the list of events that correctly makes up the sample space of events when you pull out two cards we have either a face card F or a number card N, and the sample space is;
FF
FN
NF and
NN
Where the likelihood of each outcome changes as the number of face cards and number card changes as each card is drawn without replacement.
Answer:
just took the test, the correct answer is:
B) two number cards, two face cards, one number card and one face card
A.5
B.–5
C.0
D.–1
-5+ =-5
Replace the blank place by x
-5+x=-5
Simplify both sides of the equation
x-5=-5
Add 5 to both side sides
x-5+5=-5+5
x= 0
Answer : C
I hope that's help !
the smaller number, what is the smaller
number.
The smaller number is 7.75.
An equation is a mathematical statement formed when two expressions are equated using an equal sign.
The equations are useful in determination of unknown parameters.
The equations are of various types, such as Trigonometric equations, quadratic equations.
The system of equations are used to solve complex problems.
Let the smaller number is x.
The larger number is 2 less than three times the smaller number
Then the larger number is 3x -2
The sum of the two numbers is 29
The sum is the output of the mathematical operation, Addition.
The equation formed is :
3x -2 + x = 29
Grouping the variables and the constants
4x = 31
Dividing both side of the equation by 4
x = 7.75
The value of the smaller number is obtained.
To know more about Equation
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Answer: 7
Step-by-step explanation:
90
9
10
Answer:
Option (c) is correct.
The value of x is 9.
Step-by-step explanation:
Given : Two angles are complementary. They have measures of (7x + 2)° and (3x – 2)°, respectively.
We have to find the value of x.
Two angles are said to be complementary if the sum of measure of angle is 90°.
Given (7x + 2)° and (3x – 2)° are complementary angles.
That is sum of (7x + 2)° and (3x – 2)° is 90°
⇒ (7x + 2)° + (3x – 2)° = 90°
⇒ 7x + 2 + 3x - 2 = 90
⇒ 10x = 90
⇒ x = 9
Thus, the value of x is 9.
Hence, option (c) is correct.