Write an equation to represent: three times the sum of four and t is less than forty

A) 3(4 + t) > 40
B) 3(4 + t) < 40
C) 3t + 4 > 40
D) 3t + 4 < 40

5/9 fraction of the bottle of cleaning solution will Calvin use to clean his entire bathroom.

A fraction is a numeral that represents a rational number.

Let a and b are two number, then their fraction can be represent as a/b.

Given that,

Calvin cleans 3/5 of his bathroom with 1/3 of a bottle of cleaning solution,

This implies that,

3/5 fraction of the whole bathroom takes 1/3 of the bottle

The entire bathroom will take= 1/3×5/3 = 5/9 of the bottle.

A 5/9 fraction will be used to clean the entire bathroom.

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Answer: B

Step-by-step explanation:

Answer:

2.99

Step-by-step explanation:

Answer: It will take 10.5 minutes to  read 6.25 pages and  take the test.

Step-by-step explanation:

Hi, the expression that represents this situation is :

0.8 p + 5.5  

Since each reading each page of the health book takes 0.8 minutes, we have to multiply that time by the number of pages read (p) and add the time that spent on taking the test (5.5).

So, if the number of pages is p=6.25, we simply replace p in the expression.

0.8 (6.25) +5.5 = 5+5.5 = 10.5 minutes

It will take 10.5 minutes to read 6.25 pages and take the test.

To convert a number from scientific notation to standard form, consider 1.5625 x 10^4. First, focus on the exponential number, which is 10^4. Multiply the base number, which is 10, by itself the number of times indicated by the exponent, which is four. You would do that like this:

10 x 10 x 10 x 10 = 10, 000

Plug the product -- which is 10,000 -- into the original equation to get this:

1.5625 x 10,000 = 15, 625

Therefore, the standard form of this number is 15,625.

For a number in expanded form, convert the number, using basic addition. For example, consider the expanded number 10,000 + 2000 + 100 + 10 + 9. Add up these numbers to get the standard form. Your equation would look like this:

10,000 + 2,000 + 100 + 10 + 9 = 12,119

Therefore, the standard form of the number is 12,119.

the length of the room is  170.63 inches.

The length of the room in inches is [tex]\( 9.75 \text{ inches/foot} \times 17.5 \text{ shoe lengths} = 170.625 \text{ inches} \), or approximately \( 170.63 \) inches.[/tex]

To calculate the length of the room, we first need to determine the total distance traveled by walking across the room, heel to toe, in terms of shoe lengths, and then convert that distance into inches.

Given:

- Length of shoe = 9.75 inches

- Number of shoe lengths walked across the room = 17.5 shoe lengths

First, we find the total distance walked in inches:

[tex]\[ \text{Total distance} = \text{Length of shoe} \times \text{Number of shoe lengths} \][/tex]

[tex]\[ \text{Total distance} = 9.75 \text{ inches/shoe} \times 17.5 \text{ shoes} \][/tex]

[tex]\[ \text{Total distance} = 170.625 \text{ inches} \][/tex]

Rounded to two decimal places, the length of the room is approximately 170.63 inches.

Here’s a bit more detail on each step:

1. Convert Shoe Length to Inches: Since each shoe length is 9.75 inches, we use this conversion factor to turn the shoe lengths into inches.[tex]\( 17.5 \) shoe lengths \(\times\) \( 9.75 \) inches/shoe = \( 170.625 \) inches.[/tex]

2. Round Off: We round off the final answer to two decimal places, giving us a room length of approximately \( 170.63 \) inches. This rounding is common in measurements where precision beyond two decimal places isn't necessary.

3. Explanation Summary: By multiplying the length of the shoe by the number of shoe lengths walked across the room, we can accurately calculate the total distance traveled and thus determine the length of the room.

complete question

You use the length of your shoe to measure your room. Your shoe is 9.75 inches long. You walk across the room, heel to toe, and count 17.5 shoe lengths.

About how long is your room in inches?

Answer:  we will rewrite the given equation y-4 =[tex]\frac{-1}{4} (x-5)[/tex] in slope intercept form.

so, we get

y =  [tex]\frac{-1}{4} x+\frac{21}{4}[/tex]

slope = [tex]-\frac{1}{4}[/tex]   and y-intercept = [tex]\frac{21}{4}[/tex]  

now, we have to make the table of x and y

now we consider different values of x to find the value of y corresponding values of x using equation y =  [tex]\frac{-1}{4} x+\frac{21}{4}[/tex]

   X             Y

  0              [tex]\frac{21}{4}[/tex]

  1               5

  2               [tex]\frac{19}{4}[/tex]

  3               [tex]\frac{18}{4}[/tex]

have a look at the attachment for graph.

Attached graph is having a downward-sloping line with y-intercept (0, 21/4) and a slope of -1/4. Equation: y = (-1/4)x + 21/4.

To plot the line for the equation y - 4 = -1/4(x - 5),

first rewrite it in slope-intercept form (y = mx + b), where 'm' is the slope, and 'b' is the y-intercept.

y - 4 = -1/4(x - 5)

Distribute the -1/4 on the right side:

y - 4 = (-1/4)x + 5/4

Move -4 to the right side by adding 4 to both sides of the equation:

y = (-1/4)x + 5/4 + 4

Combine constants on the right side:

y = (-1/4)x + 5/4 + 16/4

Combine fractions on the right side:

y = (-1/4)x + 21/4

Now  the equation in slope-intercept form (y = mx + b) where the slope (m) is -1/4, and the y-intercept (b) is 21/4.

To graph the line, follow these steps:

Plot the y-intercept point (0, 21/4).

Use the slope (-1/4) to find additional points. The slope -1/4 means that for every 4 units you move to the right,  go down 1 unit.

Draw a straight line passing through the points you plotted.

Here are a few more points you can use to plot the line:

When x = 0, y = 21/4.

When x = 4, y = 21/4 - 1 = 17/4.

When x = 8, y = 21/4 - 2 = 13/4.

Now, plot these points on the graph and draw a straight line passing through them.

The graph should look like a downward-sloping line.

Attached graph.

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