Michael has $96 in savings and makes $12.00 an hour at his job. Greg has $128 in savings and makes $10.00 an hour his job. They both save all their earned money. How many hours they both have to work to have the same amount of money saved?
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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I need help with cumulative frequency pleaseee!!
The cumulative frequency for a given range is the sum of all the relative frequencies that belong to that range.
The CFs for the given grade ranges are
• ≤ 49 :
9/67
• ≤ 59 :
9/67 + 10/67 = 19/67
• ≤ 69 :
9/67 + 10/67 + 10/67 = 29/67
• ≤ 79 :
9/67 + 10/67 + 10/67 + 14/67 = 43/67
• ≤ 89 :
9/67 + 10/67 + 14/67 + 14/67 + 15/67 = 58/67
• ≤ 100 :
9/67 + 10/67 + 10/67 + 14/67 + 15/67 + 9/67 = 67/67 = 1
Rieko has 10 pounds of nails. She divides the nails equally among 3 bags. How many pounds of nails does Rieko place in each bag?
A division is a process of splitting a specific amount into equal parts. The number of pounds Rieko place in each bag is 3.33 pounds.
What is division?A division is a process of splitting a specific amount into equal parts.
We have,
Rieka has 10 pounds of nails and wants to divide it equally among 3 bags.
We need to divide the 10 pounds by 3.
The number of pounds in each bag:
= 10 pounds / 3
= 3.33 pounds
Thus the number of pounds in each bag is 3.33 pounds.
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what are the missing lengths for the triangle 45 45 5v2
3.5355339 cm are the missing lengths for the right triangle.
What is right triangle ?
A right triangle is one that has an interior angle of 90 degrees. The hypotenuse, which is also the side of the right triangle that faces the right angle, is its longest side. The height and base make up the two arms of the right angle.In a 45-45-90 right triangle the hypotenuse is always equal to the measure of one of the legs times √2 call "n" the measure of one of the legs
n√2=5
n=5/√2
multiply both terms by √2
n=5√2/2, or...
n=2.5(1.4142136)
n=3.5355339 cm (round as needed)
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The complete question is -
The length of the hypotenuse of a 45-45-90 triangle is 5 cm what is the length of each leg.
What is the ones digit in the number 2^2076Hint: Start with smaller exponents to find a pattern.
Answer
Answer:
Step-by-step explanation: i think 9 the 9 is in one digits
8. Gavin goes to the market and buys one rectangle shaped board. The
length of the board is 16 cm and width of board is 10 cm. If he wants to add
a 2 cm wooden border around the board, what will be the area of the
rectangle board?
160 cm² is the area of the rectangle.
What do we mean by rectangles?A rectangle is a closed two-dimensional shape with four sides, four corners, and four right angles (90°). A rectangle's opposite sides are equal and parallel. Because a rectangle is a 2-D shape, it has two dimensions: length and width. The word rectangle is derived from the Latin word rectus, which means "right" or "straight." A rectangle has straight sides due to its right angles.Rectitude, which means moral uprightness, is another word with the same root.The formula for the area of a rectangle:
l × bPut values in the formula:
= 16 × 10= 160 cm²Therefore, the area of a rectangle is 160 cm².
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Find the sum of 0.55 and 0.41 i need help
prove that the set of all xy=0 in R^n is not an open set
the set of all x y = 0 in R is not an open set.
x y = 0 in R is possible if
either x= 0y =0x = y = 0So, the contains (0,0) , (0, any real number) ,...…..,
(any real number, 0) ,...…..
So, the set is not an open set.
Hence proved.
Therefore, the set of all x y = 0 in R is not an open set.
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Help!! Find the domain of the graphed function.
Taylor took out a 1,500$ discounted loan calculated using a simple interest rate of 2.5% for a period of 4 years. How much money does Taylor receive initially?
The initial amount that Taylor receive initially is $1500.
How to calculate the value?Based on the information given, the following can be illustrated:
Interest = 1500
Time = 4 years
Rate = 2.5%
Principal = Unknown
Interest = PRT/100
1500 = (P × 4 × 2.5)/100
150000 = 10P
Divide
P = 150000/100
P = 1500
The initial amount is $1500.
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It takes you 53 seconds to walk from the first (ground) floor of a building to the third floor. How long will it take you to walk from the first floor to the sixth floor (at the same pace, assuming all floors have the same height)?
The time it takes to walk from the first floor to the sixth floor is 132.5 seconds.
What is a division?The division is a process of splitting a specific amount into equal parts.
We have,
To walk from the first floor to the third floor it takes 53 seconds.
From the first floor to the third floor there are two floors.
So we can say that the number of seconds it takes to walk to one floor is 53/2 assuming that each floor has the same height.
We have,
= 53 / 2
= 26.5 seconds
There are 5 floors from the first floor to the sixth floor.
So the time it takes to walk from the first floor to the sixth floor is:
= 26.5 x 5
= 132.5 seconds
We can also say that,
132.5 seconds = 2.20 minutes = 2 minutes 12 seconds
Thus the time it takes to walk from the first floor to the sixth floor is132.5 seconds.
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Identify the simplest polynomial function that has the given zeros
-2,4,5
P(x) = x³ - 7x² + 2x + 40
P(x) = x³ + 7x² - 2x - 40
P(x) = x³ - 7x² + 2x - 40
P(x) =x^3+7x² - 2x + 40
Answer:
is correct
x^3 -7x^2+2x +40
multiply the constants of the factors (each factor has opposite sign of the zero)
(x+2)(x-4)(x-5) 2(-4)(-5) = 40, that eliminates all but c) and d)
(x+2)(x-4)(x-5) = (x^2-2x-8)(x-5) by using FOIL on the 1st two factors
then (-8)(-5) = +40, eliminating a) and b), leaving only c) and d)
-5 times -2x = 10x, x times -8 = -8x. 10x-8x = 2x which c) has but d) doesn't.
Step-by-step explanation:
7.8 x 10 3
--------------
1.2 x 10 4
Step-by-step explanation:
7.8 ×1000=7800.
1.2×10000=12000.
7800÷12000=0.65.
1/(x+1) = -1/ x-1
true or false
Answer:
False
Step-by-step explanation:
it would be positive, not negative.
What are the vertex and x-intercepts of the graph of y = x2 – 4x – 21? Select one answer for the vertex and one for the x-intercepts. A. x-intercepts: (–3, 0), (7, 0) B. x-intercepts: (3, 0), (7, 0) C. x-intercepts: (3, 0), (–7, 0) D. Vertex: (2, 13) E. Vertex: (2, –25) F. Vertex: (–2, –9)
Answer:
To find x-intercept ,let y=0
0=x²-4x-21
(x+3)(x-7)=0
x=-3 or x=7
(-3;0) or (7;0)
To find vertex
x=
[tex] \frac{ - b}{2a} = x[/tex]
x=4/2=2
y=(2)²-4(2)-21=-25
(2;-25)
choose A and E
9 divided by 836 step by step
Answer: 92 [tex]\frac{8}{9}[/tex]
Step-by-step explanation:
836/9=
(800+36)/9=
800/9 + 36/9=
800/9 + 4 =
(792+8)/9 + 4=
792/9 + 8/9 + 4=
88 + 8/9 + 4=
88+4+8/9=92 [tex]\frac{8}{9}[/tex]
Find the sum of (4.9 × 10^−9) and (7.4 × 10^−10). Write the final answer in scientific notation.
5.64 × 10^−9
5.64 × 10^−10
1.23 × 10^−18
12.3 × 10^−19
Taking into account the scientific notation, the result of the sum is 5.64×10⁻⁹.
Scientific notationScientific notation is a quick way to represent a number using powers of base ten.
The numbers are written as a product:
a×10ⁿ
where:
a is a real number greater than or equal to 1 and less than 10, to which a decimal point is added after the first digit if it is a non-integer number.n is an integer, which is called an exponent or an order of magnitude. Represents the number of times the comma is shifted. It is always an integer, positive if it is shifted to the left, negative if it is shifted to the right.Sum in scientific notationTo add two numbers in scientific notation, when the numbers to be added do not have the same base 10 exponent, the base 10 power with the highest exponent must be found. In this case, the highest exponent is -9.
Then all the values are expressed as a function of the base 10 exponent with the highest exponent. In this case: 7.4×10⁻¹⁰= 0.74×10⁻⁹
Taking the quantities to the same exponent, all you have to do is add what was previously called the number "a". In this case:
4.9×10⁻⁹ + 0.74×10⁻⁹= (4.9 + 0.74)×10⁻⁹= 5.64×10⁻⁹
Finally, the result of the sum is 5.64×10⁻⁹.
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What is (-2/3)+(7/8)?
Answer: 5/24
Step-by-step explanation:
(-2/3)+(7/8)=
(-2/3)+(7/8)*24/24= ==> 24 is the LCM of 3 and 8
[tex]\frac{(-2*24)/3+(7*24)/8}{24}[/tex]=
[tex]\frac{-2*24/3+7*24/8}{24}[/tex]=
[tex]\frac{-2*8+7*3}{24}[/tex]=
[tex]\frac{-16+21}{24}[/tex]=5/24
Can someone please find x ?
[tex]\frac{4}{3} x- \frac{1}{3} = x + 7[/tex]
the value of x in the question is 22
How to determine the value of x?The equation is given as
4/3x - 1/3 = x + 7
Multiply through by 3
4x - 1 = 3x + 21
Collect the like terms
4x - 3x = 1 + 21
Evaluate
x = 22
Hence. the value of x in the question is 22
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I need help for the Wednesday one
Answer:
Seth is correct.
Step-by-step explanation:
Complementary means that they add to 90 degrees. Supplemental means that they add to 180. 147 + 33 equals 180 so they are supplemental.
1. Rosa was hiking near the Dead Sea. She began her hike at an elevation of -600 feet and ended the hike at 92 feet. What was the change in her elevation
Change in Rosa's elevation from starting to end of her hike is 692 feet.
What is elevation in a hike?
Elevation is the height of hiker above the sea level at any point of the hike.
At the starting of the hike , Rosa was at an elevation of = -600feet
At the ending of the hike, Rosa is at an elevation of = 92 feet
Change in elevation = final elevation - initial elevation
= 92-(-600) = 692 feet
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On her way to her grandmothers house. Jackie traveled three times as many miles by train as by bus. She traveled four times as many miles by foot. If Jackie traveled 34 miles an hour how many miles did she travel by train?
Answer:
the answer is 136 miles
At Gabby's family reunion, Gabby hands out watermelon for the annual seed-spitting contest
She gives a watermelon slice to each kid at the reunion. She also gives a slice to 25 adults.
Gabby hands out 55 watermelon slices in all.
Which equation can you use to find how many kids k are at the reunion?
k - 25 = 55
k
25
= 55
k + 25 = 55
25k = 55
Solve this equation for k to find how many kids are at the reunion.
The equation which can be used to find how many kids k are at the reunion is :k + 25 = 55
There are 30 kids at the reunion
What is algebraic expression?
Algebraic expressions are based on expressing numbers using letters without indicating their actual values, such that we can determine the unknown variables by solving the expression or equation.
The total number of watermelons in this case is 55, if 25 slices are handed to the adults in the reunion gathering, the remaining one is the difference between 55 and 25 already served, which is known as k in this case.
total number of watermelons=55
number of adults=25
number of kids given watermelon=k
i.e k+25=55
k=55-25
k=30
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Which is the better deal? 16 oz of jelly for $3.30 or 48 oz of jelly for $8.64
Answer: The 48 0z of jelly for 8.64
Step-by-step explanation: because 16 oz of jelly is 3.30 and if you double it, it is $9.9
Answer:
48 Oz of jelly for $8.64
Step-by-step explanation:
16oz of jelly is $3.30 x 3 =$9.90
can someone answer this please
Mark won 83 lollipops playing hoops at
the county fair. At school he gave three to
every student in his math class. He only
has 8 remaining. How many students are
in his class?
Answer: 25 students
Step-by-step explanation:
Answer:
25 students
Step-by-step explanation:
83 lollipops - the 8 remaining lollipops = 75 lollipops
75 lollipops ÷ 3 ( the amount he gave to each student) = 25
3 lollipops per person
3 * 25 people = 75 + 8 (remaining)
can u guys please help me with is problem!! (ᗒᗩᗕ|||)
Answer: 4 miles per hour
Explanation: Put in the calculator 1/7 divided by 1/28 and then you get 4. Also can I get the brainliest pls?
Idrk what to name this but- just only answer if you are sure
Answer:
Put it on calculator
Step-by-step explanation:
Or multiple 7x10. And 10x10 to make the percentage from 100 it will be 70
If you don't understand don't be shy to ask you should learn from your mistakes
Answer:
C. 70%
Convert 7/10 into a decimal, 0.7, and then convert into a percentage, 70%. :)
Complete the statement.
x(y + 5) = x(__) + x(__)
Answer:
x(y + 5) = x(y) + x(5)
Step-by-step explanation:
Multiply the x to the variable and number in the parenthesis.
Can also be written xy + x5.
B is between A and C. If
AB=x+4 , BC=2x−2 , and AC=4x−1 , what is AB?
AB= (geometry someone help)
If B is between A and C and AB= x+4,BC= 2x-2 and AC= 4x-1, then the length of the AB is 3 units
The point B is between A and C
AB = x+4
BC = 2x-2
AC = 4x-1
We know,
AC = AB + BC
Substitute the value in the equation and find the value of x
4x-1 = x+4 + 2x-2
4x-1 = 3x-2
4x-3x = -2+1
x = -1
Then,
AB= x+4
Substitute the value of x in the equation
AB = -1+4
AB = 3 units
Hence, If B is between A and C and AB= x+4,BC= 2x-2 and AC= 4x-1, then the length of the AB is 3 units
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