A computer repairman makes $25 per hour. Which equation models the situation? Let h represent the hours worked. Let d represent the total amount earned.
How to simplify?
2a - 4b - 16 + (3a + 7 ) - 8
Ed ate 3/8 of the pizza and jen ate 1/4 of the pizza. How much of the pizza is left
Select true and false for each question.
a.) LN(x^a) = a + LN x
b.) LN sqrt of 3(xy) = 1/3 (ln x + ln y)
c.) (ln a)^3b = 3b ln a
d.) log_a b^2 = (log_a b)^2
if I'm going to the lake that is 60 miles away and I'm driving 40 miles per hour how long would it take for me to get there
an architectural drawing lists the scale as 1/4"=1'. if a bedroom measures 2 1/2" by 3 3/4" on the drawing, how large is the bedroom?
Answer:
The answer is 10 ft by 15 ft
Step-by-step explanation:
2 1/2 is also 2 2/4
Since 1/4 = 1
2/4 = 2 feet
Plus the whole number being 2 from 2 2/4 equates to 8 feet
because 2 is the same as 8/4.
2 2/4 = 10 feet
Do the same with 3 3/4 and you get 15 feet total.
Resulting in 10 ft by 15ft
The total cost for playing paintball is Php 100 per gun for rent and Php 1000 per 2000 paintballs. Assuming only 2000 paintballs is allowed for team who will play, which of the following function notation matches the situation?
Tina is placing 30 roses and 42 tulips in vase for table decorations in her restaurant each vase will hold the same number of flowers each vase will have only one type of flower what is the greatest number of flowers She can place it each vase
Answer: 6
Step-by-step explanation:
Given : Tina is placing 30 roses and 42 tulips in vase for table decorations in her restaurant .
Each vase will hold the same number of flowers and each vase will have only one type of flower .
Then, the greatest number of flowers she can place it each vase will be the greatest common factor of 30 and 42.
Prime factorization of 30 and 42 :
[tex]30=2\times3\times5\\\\42=2\times3\times7[/tex]
We can see that greatest common factor of 30 and 42 = [tex]2\times3=6[/tex]
Hence, the greatest number of flowers she can place it each vase =6
A local grocer wants to find out whether how many mixed flower bouquets in his inventory everyday. To that end, kept records of the daily bouquet sales for the last 27 days. The average number of bouquets sold every day was 11.8 and the sample standard deviation is 2.3. Construct a 99% confidence interval for the number of bouquets sold on a given day..
Translate the sentence into an equation. Nine more than the quotient of a number and 7 is equal to 3 . Use the variable y for the unknown number.
The equation is 9+ y/7 = 3
What is equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S
Given statement:
Nine more than the quotient of a number and 7 is equal to 3.
let the number be y
The 9+ y/7 = 3
quotient of a number and 7 is y/7
and, nine more than= 9+ y/7
So, 9+ y/7 = 3
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I thought of a number, doubled it, then decreased by 17. Then I divided the result by 3. I got 15. What was my number?
The number person thinking about is 14.
Given that, I thought of a number, doubled it, and then decreased it by 17. Then I divided the result by 3. I got 15.
What is the equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the number be x.
Double it=2x
Decreased it by 17=2x+17
Divided the result by 3=(2x+17)/3
The result is equal to 15.
(2x+17)/3=15
⇒2x+17=45
⇒2x=28
⇒x=14
Therefore, the number person thinking about is 14.
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What is the place value for 5 in the number 12354897
Suppose you buy a 1.25-pound package of ham at $5.20 per pound.What fraction of a pound did you buy
You bought [tex]\( \frac{25}{104} \)[/tex]of a pound of ham, which is approximately 0.2404 pounds.
To find the fraction of a pound you bought, divide the total weight by the price per pound.
Given:
Total weight = 1.25 pounds
Price per pound = $5.20
[tex]\[ \text{Fraction of a pound} = \frac{\text{Total weight}}{\text{Price per pound}} \]\[ \text{Fraction of a pound} = \frac{1.25}{5.20} \]\[ \text{Fraction of a pound} \approx \frac{125}{520} \][/tex]
Now, simplify the fraction:
[tex]\[ \text{Fraction of a pound} \approx \frac{25 \times 5}{104 \times 5} \]\[ \text{Fraction of a pound} = \frac{25}{104} \][/tex]
So, you bought [tex]\( \frac{25}{104} \)[/tex] of a pound of ham.
The equation of a given circle in general form is x2+ y2 − 8x + 12y + 27 = 0. Write the equation in standard form, (x − h)2 + (y - k)2 = r2, by completing the squares in the equation. Show your work in a table.
Answer:
Step Reason
x2 + y2 - 8x + 12y + 27 = 0 given
x2 - 8x + y2 + 12y = -27 Isolate the constant term
x2 - 8x + 16 + y2 + 12y + 36 = -27 + 16 + 36 Complete the square by adding . 16 and 36 to both sides.
(x2 - 2∙4∙x + 42) + y2 + 12y + 36 = 25 Group and rearrange terms in x.
(x - 4)2 + y2 + 12y + 36 = 25 (a - b)2 = a2 - 2ab + b2
(x - 4)2 + (y2 + 2∙6∙y + 62) = 25 Group and rearrange terms in y.
(x - 4)2 + (y + 6)2 = 25 (a + b)2 = a2 + 2ab + b2
(x - 4)2 + (y + 6)2 = 52 Take the square root to find r = 5.
Step-by-step explanation:
this is the exact answer from plato
hope this helps a little bit :))
under which of the following operations are the polynomials 3x+2 and 4y-11 not closed
Alfredo delivers the daily newspaper to every even numbered house in his block. If he starts at number 68 and finishes at number 512, how many papers does he deliver every day.
Answer:
Alfredo delivers the daily newspaper to every even numbered house in his block. If he starts at number 68 and finishes at number 512, how many papers does he deliver every day.
Step-by-step explanation:
From 512 to 68, there are a total of 444 houses, of which 222 are pairs, which is half, if it is even with the previous two, would be 224, otherwise, 222, if one yes and the other does not, 223.
Tim is employed at an annual salary of $23999.04.his regular workweek is 36 hours and he is paid semi monthly. What is caseys remineration of gross per pay period ? What is his hourly rate of pay ? What is his gross pay for a period in a which he worked
Tim's gross pay per pay period is $999.96. His hourly rate is approximately $12.82. This was calculated by dividing his annual salary by the number of pay periods and dividing his pay per period by the number of work hours per period respectively.
Explanation:First, we start by finding Tim's pay per pay period. Since he is paid semi-monthly, this means he is paid twice a month and since there are 12 months in a year, he will have 24 pay periods in a year. To calculate his gross pay per pay period, we divide his annual salary by the number of pay periods: $23999.04 ÷ 24 = $999.96 per pay period. Next, we calculate Tim's hourly rate. Since he works 36 hours in a week, and there are roughly 4.33 weeks in a month (52 weeks in a year / 12 months = 4.33), his monthly work hours would be 36 hours * 4.33 = roughly 156 hours. Since he's paid twice a month, his total work hours per pay period would be 156 / 2 = 78 hours. If we divide his pay per period by the number of work hours per period, we get his hourly rate: $999.96 ÷ 78 hours = roughly $12.82 per hour.Learn more about Pay Calculation here:https://brainly.com/question/32700496
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What related number sentence shows the commutative property addition 3+9=12
Prove the identity
cos(-x)/[1+sin(-x)]=secx+tanx
A football is punted from a height of 2.5 feet above the ground with an initial vertical velocity of 45 feet per second. Write an equation to model the height h in feet of the ball t seconds after it has been punted. The football is caught at 5.5 feet above the ground. How long was the football in the air?
The equation for the height of a football punted with initial conditions is calculated, and the time the football spent in the air is determined.
Given: Initial height = 2.5 feet
Initial vertical velocity = 45 ft/s
The height at which the ball is caught = is 5.5 feet
Equation to model height: h(t) = -16t² + 45t + 2.5 where h(t) is the height at time t seconds.
Time in the air: To find how long the ball is in the air, solve for t when h(t) = 5.5 feet.
Final answer: The football was in the air for approximately 1.9 seconds.
Rotating Light A searchlight rotates through one complete revolution every 4 seconds. How long does it take the light to rotate through 90°?
What is the line of symmetry for the parabola whose equation is y = x2 + 10x + 25
Answer:
x= -5
Step-by-step explanation:
whats the solution of the equation
3x+9-7x=2(x+6)
3x-7x = -4x
-4x+9 =2x+12
9=6x+12
-3 = 6x
x=-3/6 = - 1/2
x = - 1/2
True or false The coefficient of (x^(k)) (y^(n-k)) in the expansion of (x+y)^n equals (n choose k)
Write down all elements of ({9, 10, 11} ∩ {10, 11, 12, 13}) ∪ {14, 15}. (enter your answer in set notation.)
Find an implicit and an explicit solution of the given initial-value problem. (use x for x(t).) dx dt = 2(x2 + 1), x(π/4) = 1
A plane travel from California and back it took one hour long on the way out than it did on the way back the planes average speed was 300 miles an hour the average speed on the way back with 350 miles an hour how many hours did the trip take
Using the formula in model 1, choose the correct answers for the total amount and amount of interest earned in the following compound interest problem. $500 at 4% for 5 years, compounded annually. Total Amount = $ Interest Amount =$
Answer:
608.33
108.33
Step-by-step explanation:
Found answer in above answer.
let log P/N=8 and log M/N=5
What is the relationship between P and M?
A pallet stacked with bags of cement weighing a total of 5501 N must be pushed up a 2.30-m incline to a 75.0-cm high platform. What force, in Newtons, must be applied to get the job done?