A factory wanted to produce 7600 radios. At first, they planned to produce 600 radios each day. However, 8 days later, the remaining radios had to be produced in 4 days. How many more radios than originally planned had to be produced everyday?
Plz help!!! And show me how to obtain the result! :)
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?
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?
Plot the line for the equation on the graph.
y−4=−1/4(x−5)
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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Calculate 1/4+(-5/12)+(-2/3)
solve for k. 2S=n(a+k)
you have a 4x6 photo of you and your friend. You order a 5x7 print of the photo. Is the new photo similar to the original?
Determine the x- and y-intercepts of the graph of y=−12x−4
What is 3ft to 6yd in simplest form
Answer:
Answer = 1/6
Step-by-step explanation:
3 ft are in 1 yard
so 3/18
= 1/6
As per linear equation, 3 feet to 6 yard in simplest form is [tex]\frac{1}{6}[/tex].
What is a linear equation?A linear equation is an equation where there are one or multiple variables. However, the highest power of any variable is one.
We know, [tex]3 feet = 1 yard[/tex]
Therefore, 3 feet to 6 yard in simplest form is
[tex]= \frac{3 feet}{6 yard}\\ = \frac{1 yard}{6 yard} \\= \frac{1}{6}[/tex]
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It takes you 0.8 of a minute to read each page of your health book. It takes you 5.5 minutes to take the test at the end. How long will it take you to read 6.25 pages and also take the test?
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.
Evaluate f(a-5) given f(x)=x to the 2nd power + 8
9 is 12 percent of which number
Choco Pie costs $12.11 per box. What equation shows the relationship between total cost (t), price per box (p), and boxes purchased (b)?
how do you graph 4x=2y-3
Find the length of XZ:
what's 7xb +2ya +7xb
Troy’s favorite ice cream has 540 calories per serving. If 5/8 of the calories come from fat how many calories come from fat?
How do you do Mental Division?
please help and explain if possible
what is the answer - c/4 +7 = 14
Pls thanks
Tom went to a store and spent 1/3 of his money. He went to a second store where he spent 1/3 of what remained and then had 12$ when he left. How much money did he start with?
Elijah needed to dig a row along a fence that was 5 feet long.He was able to dig all but 42 inches of the row before dark how many inches was he able to dig before dark
A certain computer can perform 10^5 calculations per second. How many calculations can it perform in 10 seconds?
The no. of calculations computer can perform in 10 seconds will be equal to 10^6.
It is given that computer can perform 10^5 calculations per second.
We have to find no. of calculations to be performed by computer in 10 seconds.
What is the unitary method?
The unitary method is a method in which we find the value of a unit and then the value of the required number of units.
As per the question ;
A computer can perform calculations per second = 10^5
or
Calculations per second = 100000
So ,
The number of calculations to be performed in 10 seconds will be ;
= 100000 × 10
= 1000000
= 10^6
Thus , the no. of calculations computer can perform in 10 seconds will be equal to 10^6.
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Which expression shows the distance on the number line between −3 and −10 ?
A. |−10−3|
B. |−3−(−10)|
C. |−3+(−10)|
D. |−3−10|
(P.S. There Is No Number line On The Test)
Answer: B
Step-by-step explanation:
What is the prime factorization of 46?
The prime factorization of 46 is 2 x 23.
The prime factorization of 46 is 2 x 23.
write the place value of the underlined digit. round each number to the place of the underlined digit 2.348 *3 is underlined*
Write the factored form of 1,000,000
Ten identical cards are numbered 1 to 10. The cards are shuffled. One card is selected at random. what is the probability that the number written on it is:
10?
5?
Not 10?
An Odd Number?
A number less than 4?
A number greater than 7?
can someone please help me with this ?
is the linear equation 3x-2=y in standard form?
What is the first answer to the first question
Answer:
2.99
Step-by-step explanation: