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3 years ago

Pete can type 80 words in the same time that Ralph can type 50 words. If they type at those rates

Mathematics

1 answer:

tamaranim1 [39]3 years ago

3 0

Answer:

After the extended period of time, Pete would have typed 6400 words.

Step-by-step explanation:

Given the data in the question;

In the same time;

number typed word of Pete = 80

type word of Ralph = 50

After a period time;

number of typed word of Pete = ?

number of typed word of Ralph = 4000

so, let x represent the number of typed word by Pete after an extended period.

80 words = 50 words

x words = 4000 words

we cross multiply

x × 50 = 4000 × 80

x = ( 4000 × 80 ) / 50

x = 320000 / 80

x = 6400

Therefore, After the extended period of time, Pete would have typed 6400 words.

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Which equation does the graph of the systems of equations solve?

Viktor [21]

Answer:

We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.

Step-by-step explanation:

From the given graph, it is clear that the two lines meet at the point (3, 2).

In other words,

at x =3, y = 2

Thus,

The point of intersection between two lines is:

(x, y) = (3, 2)

Here:

x = 3 is the value of the x-coordinate

y = 2 is the value of the y-coordinate

Now, checking the equation i.e. 1/3x+1=2x-4 to determine whether the equation contains the correct value of x-coordinate or not.

$\frac{1}{3}x+1=2x-4$

Subtract 1 from both sides

$\frac{1}{3}x+1-1=2x-4-1$

Simplify

$\frac{1}{3}x=2x-5$

subtract 2x from both sides

$\frac{1}{3}x-2x=2x-5-2x$

Simplify

$-\frac{5}{3}x=-5$

Multiply both sides by 5

$3\left(-\frac{5}{3}x\right)=3\left(-5\right)$

Simplify

$-5x=-15$

Divide both sides by -5

$\frac{-5x}{-5}=\frac{-15}{-5}$

Simplify

$x=3$

Therefore, the value of x = 3

Conclusion:

We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.

4 0

3 years ago

In one school, half of all students who like math like science as well. Also, in that school, a third of all students who like s

Nimfa-mama [501]

Answer:

2/3

Step-by-step explanation:

If we have 'x' students who like math and 'y' students that like science, we can formulate that:

Half of x likes math and science, and also one third of y likes math and science, so:

(1/2) * x = (1/3) * y

x / y = (1/3) / (1/2)

x / y = (1/3) * 2 = 2/3

So the ratio of the number of students who like math to the number of students who like science is 2/3

3 0

3 years ago

Read 2 more answers

Everyone has the right to influence tax policy.

Ira Lisetskai [31]

Whats the question??

5 0

3 years ago

Help me please i have another page to due as well it’s all tiring

lutik1710 [3]

Pythagorean Theorem: a^2 + b^2 = c^2

-A and B are legs of the triangle

-C is the hypotenuse

#1.

6^2 + 8^2 = c^2

36 + 64 = c^2

100 = c^2

c = 10

#2.

5^2 + 12^2 = c^2

25 + 144 = c^2

169 = c^2

c = 13

#4.

10^2 + 4^2 = c^2

100 + 16 = c^2

116 = c^2

c = $4\sqrt{29}$

#5.

15^2 + 9^2 = c^2

225 + 81 = c^2

306 = c^2

c = $3\sqrt{34}$

#6.

120^2 + b^2 = 150^2

14400 + b^2 = 22500

b^2 = 8100

b = 90

#7.

144^2 + b^2 = 194^2

20736 + b^2 = 37636

b^2 = 16900

b = 130

Hope this helps!! :)

4 0

3 years ago

Use algebraic means to show that x^2 + y^2 = 8 is not a function. Explain your process.

11Alexandr11 [23.1K]

Answer:

For a single value of x function has more than one corresponding value of y which satisfies the equation.

Step-by-step explanation:

Function: A relationship between a set of inputs and a set of possible outputs, where exactly one output is associated with each input.

It means for an equation to represent a function any single value of x there should be only one corresponding value of y which satisfies the equation.

Now consider the given equation.

$x^2 + y^2 = 8$

If we put x=0 then we get two value of y i.e $\sqrt8$ and $-\sqrt8$ which satisfy the equation and therefore the equation is not a function.

5 0

3 years ago