The computation shows that the hours that they both have to work to have the same amount of money saved is 16 hours.
How to calculate the function?Based on the information given, let the number of hours be represented by h
Therefore, the first function for Michael will be:
96 + 12h
The second function for Greg will be:
= 128 + 10h
Therefore, we'll equate both equations. This will be:
96 + 12h = 128 + 10h
12h - 10h = 128 - 96.
2h = 32.
h = 32/2
h = 16 hours.
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Find the sum: 1.23 + 4.99.
Answer: 4.113
Step-by-step explanation: so like 1 goes into 4 4 times and then 2 dont go inna 9 so you got 11 because if you cant go down u goin up and then da three go into nine evenly so like i hope you fail
Answer:
6.22
Step-by-step explanation:
1.23 + 4.99 is equal to 6.22.
(If adding decimals is a harder concept for you, just ignore the decimal point and add normally.)
Hope this helped!
(ratings and voting brainliest always help)
16. A collection of dimes and nickels is worth $3.10. If there are 45 coins in all, how many of each kind of coin are there?
Answer:
28 nickels and 17 dimes
Step-by-step explanation:
A nickel is worth 5 cents and a dime is worth 10 cents
If there are X nickels and Y dimes
Total value = 5X + 10Y cents
$3.10 == 3.10 x 100 = 310 cents
So 5X + 10 Y = 310
Divide both sides by 5 to get
5X/5 + 10Y/5 = 310/5
X + 2Y = 62 (1)
The total number of coins is X + Y and is given to be 45
X + Y = 45 (2)
Subtract Eq(2) from Eq(1) to get
X + 2Y - (X + Y) = 62-45 = 17
X + 2Y - X - Y = 17
Collecting like terms
(X - X) + (2Y - Y) = 17
Y = 17
So number of dimes = 17
To find X, the number of nickels use equation (2)
X + 17 = 45
Subtract 17 from both sides
X + 17 - 17 = 45 - 17
X = 28
So number of nickels = 28
14. The maximum capacity for seating in a theater is 500 people. The theater sells two types of tickets, adult tickets for $7.25 each and child tickets for $4 each. If they sold out on a certain showtime and made a total of $3,157 in ticket sales, how many of each types of tickets was sold out that showtime?
Step-by-step explanation:
set x as the number of the adults in the show
500-x - number of children
(500-x)×4+7.25x=3157
2000-4x+7.25x=3157
3.25x=1157
3×1/4x=1157
13/4x=1157/×4
13x=4628/÷13
x=356
356 adult tickets was sold out.
500-356=144
144 child tickets was sold out.
Answer:
Adult tickets sold = 356
Child tickets sold = 144
Step-by-step explanation:
Given information:
Maximum number of seats = 500Cost of adult ticket = $7.25Cost of child ticket = $4Total revenue of sold-out show = $3,157Define the variables:
Let x = the number of adult tickets sold.Let y = the number of child tickets sold.Create two equations from the given information:
[tex]\textsf{Equation 1}: \quad x + y = 500[/tex]
[tex]\textsf{Equation 2}: \quad 7.25x+4y=3157[/tex]
Rewrite Equation 1 to make y the subject:
[tex]\implies y=500-x[/tex]
Substitute this into Equation 2 and solve for x:
[tex]\implies 7.25x+4(500-x)=3157[/tex]
[tex]\implies 7.25x+2000-4x=3157[/tex]
[tex]\implies 3.25x+2000=3157[/tex]
[tex]\implies 3.25x=1157[/tex]
[tex]\implies x=356[/tex]
Substitute the found value of x into the rewritten form of Equation 1 and solve for y:
[tex]\implies y=500-356[/tex]
[tex]\implies y=144[/tex]
Solution
Adult tickets sold = 356Child tickets sold = 144Learn more about systems of equations here:
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greatest common factor of 2a and 4ab
Answer: GCF: 2a
Step-by-step explanation:
In order to find the factors, we need to list the prime factorization of 2a and 4ab, assuming a and b are prime numbers.
2a: 2*a
4ab: 2*2*a*b
Notice any common factors?
GCF: 2*a=2a
GCF: 2a
Use the table to write an expression that shows how many total baskets the Cavaliers made during the season. Simplify the expression.
The expression that shows how many total basket the Cavaliers made during the season is 1978+f
The total number of free throws = 1484
The number of two point field goals = f
The number of 3 point field goals = 494
Total number of basket Cavaliers made during the season = Number of free throws + Number of two point goals + Number of three point field goals
Substitute the values in the equation
Total number of basket Cavaliers made during the season= 1484 + f +494
Add them together
1484+ f +494= 1978+f
Hence, the expression that shows how many total basket the Cavaliers made during the season is 1978+f
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Me deben el 20% de 18700 y me pagan el 15% de 900 cuánto me deben aún?
Answer:
3
Step-by-step explanation:
What is the answer to (-3.4)(5)
Answer:
-17
here is what yourrrr looking for
Answer:
-17
Step-by-step explanation:
Straight multiplication of a negative times a positive
Jamie paid the rent well past the due date for the months of April, May and June,
As a result, he had been charged a total of $75 as late fee. How much did he pay as
late fee per month?
According to the arrangement, he must pay a late fee of $25 each month.
Describe division:The inverse of multiplication is division. If three groups of four add up to twelve, twelve divided into three equal groups adds up to four in each group. The basic purpose of splitting is to determine how many equal groups have been formed or how many people are in each group when equitably sharing.
What exactly is a division formula?To divide two numbers, use the formula Dividend Divisor = Quotient + Remainder. The dividend seems to be the number being divided in this case. The number that divides the number (dividend) into equally equal parts is known as the divisor.:
According to the given data:Total late fee = $75.
Rent late for 3 months.
Late fee per month= total late fee/ months
= 75/3
= 25.
Late fee per month= $25.
According to the arrangement, he must pay a late fee of $25 each month.
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Quadrilateral ABCD is a rectangle. Find the coordinates for Point B.
Answer:
(8,25)
Step-by-step explanation:
Which of the following are solutions to the quadratic equation below? Check all that apply. X^2+16=2
Step-by-step explanation:
x²+16=2
x²+16-2=0
x²+14=0
x²=-14
x=√-14=7i
What is the answer to Simplify 2x³ x 5x²
Answer:
Your answer is [tex]2x^{10}[/tex].
Step-by-step explanation:
Classify each of the following statements as true or false. If false, tell why. a. 5 is a divisor of 20. b. 10 is a multiple of 20.
Answer:
Yes; no
Step-by-step explanation:
a. If we divide 20 by 5, we get 4. Meaning, both 4 and 5 are divisors of 20.
b. 10 is not a multiple of 20; The multiples of 20 are 20, 40, 60, 80, 100, 120, 140, etc. Multiples only go upwards not down. Nothing plus 20 is equal to 10 therefore 10 is not a multiple of 20. 20 is a multiple of 10 though.
3(−5.8 + w) = 22.62 what dose the W =
w = −1.3
w = 1.3
w = 5.6
w = 13.34
Answer:
d. w=13.34
Step-by-step explanation:
The value of w is 13.34 for the given equation. The correct answer is option D.
What is the solution to the equation?A solution to an equation is a number that can be substituted for the variable to provide a true number statement.
The equation is given as follows:
3(−5.8 + w) = 22.62
First, we distribute the 3 on the left side of the equation:
-17.4 + 3w = 22.62
Next, we isolate the variable by adding 17.4 to both sides of the equation:
-17.4 + 3w + 17.4 = 22.62 + 17.4
3w = 40.02
Finally, we solve for w by dividing both sides of the equation by 3:
w = 13.34
Therefore, the value of w is 13.34, so the answer is option D.
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There are 15 triangles and 6 circles. What is the simplest ratio of circles to triangles?
Answer:
2:5, 2/5, 2 to 5
Step-by-step explanation:
The ratio is 6 to 15, but you can simplify that to 2 to 5.
a safety inspector found flaws in 3 out of 540 lamps built in a factory what is the probability that the next lamp she expects is flawed.
The probability that the next lamp safety inspector expects will be defective is 1/180.
What is probability?Probability is a branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely a proposition is to be true. The probability of an event is a number between 0 and 1, where 0 indicates the event's impossibility and 1 indicates certainty.Formula: P = favourable events/Total events
Put the values in the formula and solve as follows:
P = favourable events/Total eventsP = 3/540P = 1/180Therefore, the probability that the next lamp safety inspector expects will be defective is 1/180.
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If the length of a rectangle is L and the width is w, write an algebraic expression for the perimeter of the rectangle.
Tysm in advance!
Answer: P=2L+2w
Step-by-step explanation:
P=perimeter.
P=2L+2w ==> there are two lengths and two widths in a rectangle. That totals to 4 sides in a rectangle.
A man has 19 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 355
cents, how many dimes and how many quarters does he have?
Let a be the number of dimes and y be the number of quarters.
Write an equation that expresses the information in the sentence "A man has 19 coins."
Write an equation that expresses the information in the sentence "The total value of change is 355 cents."
Solve the system you have written above.
The number of dimes, a is
The number of quarters, y is
Answer:
8 dimes11 quartersStep-by-step explanation:
You want to find the number of dimes (x) and the number of quarters (y) in 19 coins that have a total value of $3.55.
SetupUsing the given variables, we can write two equations. One is for the number of coins; the other is for their value.
x + y = 19 . . . . . . . . . . . number of coins
10x +25y = 355 . . . . . value in cents
SolutionIt usually works well to solve an equation involving the highest-value coin. That means we want to eliminate the x-variable. Using the first equation, we can write ...
x = 19 -y
Substituting into the second equation, we get ...
10(19 -y) +25y = 355
190 +15y = 355 . . . simplify
15y = 165 . . . . . . . subtract 190
y = 11 . . . . . . . . . . divide by 15
x = 19 -11 = 8
The number of dimes is 8.
The number of quarters is 11.
__
Alternate solution
The average coin value is 355/19 = 18 13/19 cents. The proportion of the highest-value coins is the ratio of the difference between this value and the lowest value, divided by the difference in values.
proportion of quarters = (18 13/19 -10)/(25 -10) = (8 13/19)/15 = (165/19)/15
proportion of quarters = 11/19
Multiplying this by the number of coins (19) gives the number of quarters:
(11/19)×19 = 11 . . . . quarters
You may recognize some similarities to the above solution.
__
Additional comment
Once you understand this generic solution to a mixture problem, you can use it to write down the answer without bothering with variables and equations.
K
The amount of oil imported to Country A from Country B in millions of barrels per day can be approximated by the equation y=0.051x+1.38, where x is the number of years since 1970. Solve this equation for x. Use the new equation to determine in which year the approximate number of oil barrels imported from Country B per day will be 1.89 million.
First, solve the equation for x.
algebraic equation solving x, we concluded that In the year 1980 the approximate number of oil barrels imported from Country B per day will be 1.89 million.
What exactly is a mathematical linear equation?An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation. The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.
Given the equation is :y=0.051x+1.38
Let us put y = 1.89
1.89 = 0.051x + 1.38
⇒ x = 0.51/0.051
⇒ x = 10
After ten years, 1.89 million oil barrels per day will be roughly imported from Country B.
Around 1.89 million oil barrels per day would be imported from Country B in the year 1980.
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A graphic designer enlarges a 12 inch long picture to a 2 1/2 foot long banner. At this setting if the picture is 16 inches wide how wide is the banner
Based on the enlargement the graphic designer applied to the length of the picture, the banner is as wide as 3 ⁸/₁₂ foot long
What is the width of the banner?The fact that 12 inch was enlarged to 2.5 foot means that every inch is:
= 2.5 / 12
= 2.5/12 foot
This means that if the picture was 16 inches wide, the enlarged size of the banner would be:
= 16 x 2.5/12
= 40 / 12
= 3.33
= 3 ⁸/₁₂ foot long
In conclusion, the width of the banner is 3 ⁸/₁₂ foot long
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Question 9 of 20
The police department of a city with a population of 150,000 wants to know
how many residents wear their seatbelts regularly. Which sample size would
make the study most reliable?
OA 150
OB. 1500
OC.5
D. 15
The sample size that would make the study on the residents that wear seatbelts regularly most reliable is B. 1,500.
Which sample size is more reliable?When creating samples, there is a general rule that the higher the sample size, the more reliable the study is.
This is because a larger sample size is more likely to capture the characteristics of the population it is based on.
The most reliable sample size here is therefore 1,500 people.
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W to the power of 3 = 125 when W =
Answer:
W to the power of 3 =125
And 125 is same as 5 power power 3.
Therefore W = 5.
London answered 51 questions correctly on her multiple choice science final and earned a grade of 85%. How many total questions were on the final exam?
What is the standard unit of temperature? What can be used to measure temperature?
Answer:
Kelvin, thermometer
Step-by-step explanation:
Unit: kelvin
Measure temperature: thermometer
square root of 72/98
Answer:√78= 8.9 √98= 9.9
Step-by-step explanation:
Answer:
6/7
Step-by-step explanation:
So first, we can simplify 72/98. If we divide both the numerator and denominator by 2, to get a simplified fraction. So we need to solve 72/2 and 98/2. 72/2 = 36 and 98/2 = 49 So now we have a simplified fraction. So now, we are left with the square root of 36/49, and we apply the radical rule. So now we have simplified radicals that make things easier. The square root of 36 is 6, while the square root of 49 is 7. This is because 36 can be broken down into factors of 6 and 6, so like 6^2 = 36. So square root of 36 is 6. While 49 can be broken down as 7 and 7, so like 7^2 = 49, so square root of 49 is 7. Therefore our answer is 6/7.
I hope this helps, have a blessed day!
1. m/A
= 62°
Complement
Supplement
For the given value of angle;
∠A = 62°
The complement of ∠A is; 90 - ∠A
complement = 90 - 62
complement = 28°
Now, for supplementary angle:
If the sum of the two angles equals 180°, the angles are supplementary. Each angle is referred to as a supplement from another angle.For the given: ∠A = 62°
supplementary = 180 - 62
supplementary = 118°
Thus, the complement and supplement are obtained as 28° and 118°.
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Use the value of the ratio to fill in the following two multiplicative comparison statements. a. The number of pancakes made is ________ times the amount of cups of flour needed. b. The amount of cups of flour needed is ________ of the number of pancakes made
The value of the ratio to fill in the following two multiplicative comparison statements are:
(A) The number of pancakes made is 5 times the amount of flour required. (B) The amount of flour required is 1/5 of the number of pancakes made.What do we mean by ratio?A ratio in mathematics indicates how many times one number contains another. For example, if a bowl of fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six (that is, 8:6, which is equivalent to the ratio of 4:3). Similarly, the proportion of lemons to oranges is 6:8 (or 3:4), and the proportion of oranges to total fruit is 8:14. (or 4:7).The number of pancakes made is five times the amount of flour required. The amount of flour required is one-fifth of the number of pancakes made.Therefore, the value of the ratio to fill in the following two multiplicative comparison statements are:
(A) The number of pancakes made is 5 times the amount of flour required. (B) The amount of flour required is 1/5 of the number of pancakes made.Know more about ratios here:
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Write 53/16 as a decimal.
Answer:
3.3125
Step-by-step explanation:
53/16 is the same as 53 ÷ 16 =3.3125
Can anybody help me with this
Answer:
C. triangle 1 and triangle 2
Step-by-step explanation:
Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal.
how to do universal math by hands
Answer:
find the profound of life by your ethernal soul
what is the range of d
Answer:
A
Step-by-step explanation:
Range is on the y-axis, therefore, it would be from -1 to 5.