All categories

3 years ago

steven can type 160 words in 2 minutes and 30 seconds at this rate, how many words can he type in 4 minutes?

Mathematics

1 answer:

Gnom [1K]3 years ago

6 0

Answer:

hello : 256 words

Step-by-step explanation:

2 minutes and 30 = (2×60)+30=150seconds

4 minutes = 4 ×60 = 240 seconds

150seconds →160 words

240 seconds → x ?

x = (160×240) / 150 = 38400/150= 256 words

You might be interested in

8x + y = 9 Convert the following equations to standard form

Citrus2011 [14]

Answer:

x=1/8y+9/8

y=y=−8x+9

Step-by-step explanation:

Let's solve for y.

8x+y=9

Step 1: Add -8x to both sides.

8x+y+−8x=9+−8x

y=−8x+9

Let's solve for x.

8x+y=9

Step 1: Add -y to both sides.

8x+y+−y=9+−y

8x=−y+9

Step 2: Divide both sides by 8.

8x/8=−y+9/8

x=−1/8y+9/8

5 0

3 years ago

Examine the system of equations. y = 4x + 8, y = 4x – 1 Which statements best describe the two expressions? Check all that apply

Lerok [7]

Answer:

The correct statements are as follows;

1. They have different y-intercepts

2. The substitution method results in false statement 8 = -1

3. There is no solution

Step-by-step explanation:

Here, we want to select the statement that best describes the equations

The equation for a straight line is generally;

y = mx + b

m is slope and b is the y-intercept

slope of both is same ; 4

So first assertion is wrong

they have different y-intercepts

First y-intercept is 8, second is -1

This is correct

The third statement is correct too

if we equated both y;

4x + 8 = 4x -1

We shall have 4x canceled out and left with 8 = -1

(8,-1) is not a solution

There is no solution is correct because after substituting, we have 8 = -1 which is not correct and also impossible

7 0

3 years ago

What are congruent triangles.

pashok25 [27]

Answer:

Congruent triangles are triangles that have the same size and shape.

We say that the two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

BC = 36; D = 15. What is the value of BD - AC. B A BD - AC =

Snezhnost [94]

Answer:

BD - AC = 0

Step-by-step explanation:

Given that:

BC = 36 , CD = 15 and BD = x

As these are forming right angled triangle,

Using Pythagorean theorem,

$(BD)^2+(CD)^2=x^2\\(36)^2+(15)^2 = x^2\\1296 + 225 = x^2\\1521 = x^2\\$

Taking square root on both sides

$\sqrt{x^2}=\sqrt{1521}\\x=39$

As the given shape is rectangular, the sides parallel to each other will have same values.

AB = 15 , AD = 36 and AC = x

$(15)^2+(36)^2 = x^2 \\225 + 1296 = x^2 \\1521 = x^2 \\x = 39$

Now,

BD - AC = 39 - 39 = 0

Hence,

BD - AC = 0

5 0

3 years ago

Which of ghe following is equivalent to (x+4)(3x^2+2x)?

Alexxandr [17]

The given expression is

$(x+4)(3x^2 +2x)$

And in the second factor, x is common. So on taking x out, we will get

$(x+4)(x)(3x+2) = x(x+4)(3x+2)$

We can expand it by distributing , that is

$(x+4)(3x^2 +2x) = x(3x^2 +2x) +4 (3x^2 +2x)$

$= 3x^3 +2x^2 + 12x^2 +8x$

Combining like terms,

$= 3x^3 +14x^2 +8x$

And that's the expanded form ., and the given expression can also be written in that way .

7 0

3 years ago