Jamie went out to her grandfather's farm.
Her grandfather has pigs and chickens on his farm.
She noticed that there were a total of 26 heads and
68 feet among them. How many chickens and how
many pigs did her grandfather have?

Answers

Answer 1
Answer:

Answer:

8 pigs

Step-by-step explanation:

Since every animal has only 1 head, a total of 26 heads suggests that there are 26 animals in total.

Suppose all animals are chickens.

Total no. of feet = 26 chickens × 2 feet

                           = 52 feet

Difference in total no. of feet = 68 feet - 52 feet

                                                = 16 feet

Difference in no. of feet each animal has

= 4 feet (a pig) - 2 feet (a chicken)

= 2 feet

∴ No. of pigs = 16 feet ÷ 2 feet

                      = 8 pigs


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Find the distance between two points A (-2,-3) B (6,8)

Answers

Answer:

√185 units.

Step-by-step explanation:

To find the distance between two points, A (-2, -3) and B (6, 8), you can use the distance formula:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

In this formula:

(x₁, y₁) represents the coordinates of point A (-2, -3).

(x₂, y₂) represents the coordinates of point B (6, 8).

Now, plug the values into the formula:

Distance = √[(6 - (-2))² + (8 - (-3))²]

Distance = √[(6 + 2)² + (8 + 3)²]

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10 POINTS Solve for x:
2x-7=5x+13

x = -20/3
x = -7
x = 22/3

Answers

The answer is X= -20/3 :)


Subtract 2x to both sides and subtract 13 from both sides

-20 = 3x

Divide 3 from both sides to isolate x

-20/3=x
First do 5x - 2x and you get 3x.
Now the equation is -7 = 3x + 13.
Next do -7 - 13 and you get -20.
The final step is to do -20 divided by 3 and you get -20/3.

The answer is x = -20/3

Emily has 27 Barbie dolls. She put equal number of dolls in each of 5 boxes. How many dolls are left over?

Answers

Answer:

2 barbies are left over

Step-by-step explanation:

5(5)=25

27-25=2

Leaving 2 barbies.

Which of the following functions has a range of all real numbers?

Answers

Answer:

c

Step-by-step explanation:

The dots cannot intersect

Final answer:

A function having a range of all real numbers is a function where any output value can be achieved. An example is y=sinx, which oscillates continuously between -1 and 1, thus covering all real numbers in its range.

Explanation:

The function which has a range of all real numbers is a function where any output (y-value) is possible, irrespective of the input. The range of a function is the complete set of possible output values (y-coordinates), which result from using the function formula. An example of a function with a range of all real numbers is y=sinx. Since y=sinx oscillates between -1 and 1, given a large number of repetitions (or a continuous plot from -infinity to +infinity), all real numbers in your range (-1 to 1) are represented.

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If A= B and AB= 3x-5 BC= 5x-6 and AC = 2x-9 find the value of X

Answers

Therefore, the value of x is -4 if A= B and AB= 3x-5 BC= 5x-6 and AC = 2x-9.

What is equation?

An equation is a mathematical statement that shows the equality of two expressions. It is composed of two sides, separated by an equals sign (=), indicating that the two sides are equivalent in value. An equation may contain variables, which are unknown values represented by letters, as well as constants, which are known values. Equations are used in many areas of mathematics and science to model and solve problems. For example, the equation y = mx + b is a linear equation that describes the relationship between the variables x and y in a straight line, where m is the slope of the line and b is the y-intercept. Equations can be solved by manipulating the variables and using mathematical operations to isolate the unknown value.

Here,

Since A = B, we know that AB = B². So, we can rewrite the equation AB = 3x - 5 as B² = 3x - 5.

Similarly, we can rewrite BC = 5x - 6 as B² = 5x - 6, and AC = 2x - 9 as A² - B² = (2x - 9) - (B^2).

Since we know that A = B, we can substitute B for A in the last equation to get:

B² - B² = (2x - 9) - (B²)

Simplifying this equation, we get:

0 = 2x - 9 - B²

Now we can substitute the equation B² = 3x - 5 into the above equation to get:

0 = 2x - 9 - (3x - 5)

Simplifying this equation, we get:

0 = -x - 4

Solving for x, we get:

x = -4

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You can make $25 for every 2 hours you work If you work for 10 hours how much will you make?

Answers

Answer:

125

Step-by-step explanation:

The answer is 125 because 25x5=125 but to get there you needed to do 2x5=10