Write 863.141 in expanded form.
Under her cell phone plan, Nayeli pays a flat cost of $41.50 per month and $5 per gigabyte. She wants to keep her bill under $50 per month. Write and solve an inequality which can be used to determine g, the number of gigabytes Nayeli can use while staying within her budget.
The inequality which can be used to determine the number of gigabytes is 41.5 + 5x < 50 and the solution is x < 1.7
How to write and solve an equation which can be used to determine the number of gigabytes?The given parameters are
Flat cost = $41.50
Rate = $5 per gigabyte
Budget = Under $50
The equation is represented as:
Total cost = Flat cost + Rate * Number of gigabyte
So, we have
y = 41.5 + 5x
The budget is under 50
So, we have
41.5 + 5x < 50
Subtract 41.5 from both sides
5x < 8.5
Divide by 5
x < 1.7
Hence. the inequality which can be used to determine the number of gigabytes is 41.5 + 5x < 50 and the solution is x < 1.7
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Pls help me w thissssss
In this problem, we need to use multiplication and subtraction method to solve it.
_________________________________
x(y) means to multiply x with y
_________________________________
Note that {a = 7} and {b = 6}
First, we need to multiply 4 with {a = 7}, we get:
4(7) = 28
Then, we need to subtract {b = 6} from 28, we get:
28 – 6 = 22
Finally, this simplifies as:
4(7) – 6 = 22
Hope this helps :)
The length of a rectangle is 3 cm longer than its width.
If the perimeter of the rectangle is 58 cm, find its length and width.
The length and width of the given rectangle is 16cm and 13cm.
What is a rectangle?A rectangle is a quadrilateral with four right angles in Euclidean plane geometry. It can also be defined as an equiangular quadrilateral because all of its angles are equal; or a parallelogram with a right angle. A square is a rectangle with four equal-length sides.Formula of perimeter of a rectangle: 2(l+b)
Let, width be 'x' then length will automatically be 'x+3'.
Now, put the values in the formula:
P = 2(l+b)58 = 2(x+3+x)58 = 2(2x + 3)58 = 4x + 64x = 58 - 64x = 52x = 52/4x = 13So, width is 13cm then length is (13+3) that is 16cm.
Therefore, the length and width of the given rectangle is 16cm and 13cm.
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If 14 people are to be divided into 4 committees of respective sizes 2, 3, 4, and 5, how many divisions are possible?
The final answer is 24,024
In the given statement is :
If 14 people are to be divided into 4 committees of respective sizes 2, 3, 4, and 5
To find the how many divisions are possible
Let us understand the:
What do you mean by Permutation?
A Permutation is an act of arranging the objects or number in order.
Formula of Permutation :
The formula for Permutations is : n P r = n! / (n - r)!
n p r = n! /(n-r)!
14 P 4 = 14 ! / (14-4)!
= 14 × 13 × 12 × 11 x 10! / 10!
= 14 × 13 × 12 × 11
= 24,024
Hence, The answer is 254,024
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Dyani began solving the equation g = x-1/k for x by using the addition property of equality. explain dyani's error. then describe how to solve for x
Given equation g = x-1/k in terms of x would be x = 1 + gk
for given question,
we have been given an equation g = x-1/k
Dyani began solving the equation g = x-1/k for x by using the addition property of equality.
We solve given equation for x.
⇒ g = x-1/k ..........(Given)
⇒ gk = (x - 1/k)k .........(Multiply both the sides by k)
⇒ gk = x - 1
⇒ gk + 1 = x - 1 + 1 .........(Add 1 to each side)
⇒ gk + 1 = x
⇒ x = 1 + gk
Therefore, given equation g = x-1/k in terms of x would be x = 1 + gk
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Given the functions f and g, EXPLAIN why you canNOT find f * g.
f = {(-1, 7), (1, 3), (3, 4), (6, 8), (7, 0)}
g = {(0, 10), (2, "-6)," (4, 7), (8, "-1)}
You cannot find f * g because the functions have different domains
How to explain why you cannot find f * g?The functions are given as:
f = {(-1, 7), (1, 3), (3, 4), (6, 8), (7, 0)}
g = {(0, 10), (2, "-6)," (4, 7), (8, "-1)}
In the above function definitions. we have
Domain of f(x): -1, 1, 3, 6, 7
Domain of g(x): 0, 2, 4, 8
See that both functions have different domains
This means that you cannot find f * g because the functions have different domains
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Simplify (c4)−5
please please helpppp
Answer: Reformatting the input :
Changes made to your input should not affect the solution:
(1): "c5" was replaced by "c^5". 1 more similar replacement(s).
STEP
1
:
c4
Simplify ——
c5
Dividing exponential expressions :
1.1 c4 divided by c5 = c(4 - 5) = c(-1) = 1/c1 = 1/c
Final result :
1
—
c
Step-by-step explanation: hope this helps
HELP ME DO THESE PROBLEMS PLS THANK YOU
Answer:
6. 7
7. 32
8. -17
9. -24
10. 6 ft
Step-by-step explanation:
6: 2(3) +1
6+1=7
7: 16-4(-4)
16+16=32
8: 12(-2)+7
-24+7=-17
9: -9-3(5)
-9-15=-24
10: 24-3(6)
24-18=6
Question 12
4
Which of the following numbers is irrational?
-9
5
7
√√5. √9
3
Answer: square root of 5 and square root of 9
Step-by-step explanation:
How much of a(n) 70% orange juice drink must be mixed with 18 gallons of a 30% orange juice drink to obtain a mixture
that is 50% orange juice?
Answer:
18 gallons
Step-by-step explanation:
Start with x gallons of 70% juice and 18 gallons of 30% juice.
Result: x + 18 gallons of 50% juice
0.7x + 0.3 × 18 = (x + 18)(0.5)
0.7x + 5.4 = 0.5x + 9
0.2x = 3.6
x = 18
Answer: 18 gallons
Which graph represents the function h (x) = -√x+2?
Answer:
Step-by-step explanation:
See the attached file below it will help to understand this problem and it will improve your grade and score.
Melissa buys 2 1/2 pounds of salmon an 1 1/4 pounds of swordfish. She pays a total of $31.25, and the swordfish costs $0.20 per pound less than the salmon. What would be the combined cost of 1 pound of salmon and 1 pound of swordfish
Answer:
$16.60
Step-by-step explanation:
Setup the formula to calculate the cost of each pound of salmon and swordfish for the 2.5 pounds of salmon (x) and 1.25 pounds of swordfish (y) which is equal to $31.25
2.5x + 1.25y = 31.25
Setup a formula to figure out how much a single pound of swordfish (y) is. The problem states it cost $0.20 less than a pound of salmon (x).
y = x - .20
Plug the y = x - .20 into the first equation.
2.5x + 1.25(x - .20) = 31.25
Distribute the 1.25 by multiplying it with x and -.20
2.5x + 1.25x - .25 = 31.25
Combine like terms, x on the left side
3.75x - .25 = 31.25
Add .25 to both sides to get x on one side
3.75x = 31.50
Divide both sides by 3.75 to get x by itself
x = 8.4
So, each pound of salmon, x, cost $8.40 per pound
Use y = x - .20 and plug in x = 8.4 to figure out how much a pound of swordfish cost.
y = 8.4 - .20
So, a pound of swordfish cost $8.20 per pound
The question wants to know the combined cost, z, of 1 pound of salmon, x, and 1 pound of swordfish, y.
x + y = z
8.4 + 8.2 = 16.6
The combined cost of 1 pound of salmon and 1 pound of swordfish is $16.60
.chris p. bacon worked 44 hours last week and gets double time pay for overtime. his regular pay is $14 per hour. how much was his paycheck for the week?
The total paycheck for the week is of $672 as Chris bacon work for 44 hours last week, regular pay $14 per hour and double time pay for overtime.
As given,
Regular pay per hour = $14
Overtime work payment= 2 × ($14)
Total hours work done last week = 44hours
Let regular timing be 8 hours per day 5 days a week
Total regular working hours = 8 × 5
= 40 hours
Over time = 44-40
= 4 hours
Payment check = (40 × 14)+ (4 × 28)
= $672
Therefore, The total paycheck for the week is of $672 as Chris bacon work for 44 hours last week.
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Express 80 as the product of its prime factors.
Write the prime factors in ascending order.
Answer:
the answer of that is 16 x 5
Step-by-step explanation:
3(8-3)+2(4-1)
9(6-2)-11(5-2)
the solution for it ..
solving the bracket is important
Matt sliced a pizza into 8 equal parts and gave 4 slices to stuart. which are other ways that show the fraction of a pizza matt gave stuart? choose more than one answer:
The fraction of a pizza Matt gave Stuart is 4/8 or 2/4 or 1/2.
Given that, Matt sliced a pizza into 8 equal parts and gave 4 slices to Stuart.
We need to find the fraction of a pizza Matt gave Stuart.
What is the fraction?A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator.
Now, the fraction=4/8
=2/4 =1/2
Therefore, the fraction of a pizza Matt gave Stuart is 4/8 or 2/4 or 1/2.
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Find EFgiven E(-7, -2) and F(11, 3)
According to the given statement;
EF=18.682.
What is Distance Formula?
The distance between two points is the length of the line joining the two points. If the two points lie on the same horizontal or same vertical line, the distance can be found by subtracting the coordinates that are not the same.
Distance formula used to find the distance measure between two lines, the sum of the lengths of all the sides of a polygon, perimeter of polygons on a coordinate plane, the area of polygons and many more.
According to the given value;
(-7, - 2) ; x1 = - 7 ; y1 = - 2
F = (11, 3) ; x2 = 11 ; y2 = 3
EF = √((x2 - x1)² + (y2 - y1)²)
EF = √((11 - -7)² + (3 - -2)²)
EF = √((11 + 7)² + (3 + 2)²)
EF = √(18² + 5²)
EF = √324 + 25
EF = √349
EF = 18.6815
EF = 18.682 units (3 decimal places )
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You have 80 fluid ounces of lemonade and you need to put them into containers that hold 1 pint. How many containers will you need?
When you have 80 fluid ounces of lemonade and you need to put them into containers that hold 1 pint, the number of containers will be 5.
How to compute the value?Note that the conversion ounce to pint is to divide the value by 16.
Therefore, 80 fluid ounces to pint will be:
= 80/16
= 5
Therefore, the value is 5 pints.
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Antwan determines the distance between the points –7 and 2 on a number line. Maggie determines the difference between the numbers –7 and 2. How are Antwan’s and Maggie’s solutions related?
Maggie’s solution is the absolute value of Antwan’s solution.
Antwan’s solution is the absolute value of Maggie’s solution.
Both solutions are greater than either of the two numbers in the problem.
Both solutions are less than either of the two numbers in the problem.
Antawan's solution is the absolute value of Maggie's solution is the solution related to Antawan's and Maggie's solution.
Given
Antawan determines the distance between two points as 9.
Maggie finds the difference between two numbers ₋ 7 ₋ 2 = ₋9
Hence we notice that Antawan's solution is the absolute value to the Maggie's solution.
The non-negative value of x, regardless of its sign, is the absolute value (or modulus) | x | of a real number x. For instance, 5 has an absolute value of 5 and so does 5, which likewise has an absolute value of 5. One way to conceptualize a number's absolute value is as its separation from zero on the real number line.
hence option 2 is right.
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There are 46 children going to a party. 18 will wear black costumes, 12 will wear orange costumes and some will wear both black and orange. half of the guests will go in costumes that are neither black nor orange. how many children will wear both orange and black
The number of children who wore both orange and black will be 8.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
There are 46 children going to a party. 18 will wear black costumes, 12 will wear orange costumes and some will wear both black and orange.
Then the number of children who wear costumes and black & orange. Then we have
⇒ 46 - 18 - 12
⇒ 46 - 30
⇒ 16
Half of the guests will go in costumes that are neither black nor orange. Then we have
⇒ 16 / 2
⇒ 8
Then the number of the children who orange and black will be
⇒ 16 - 8
⇒ 8
The number of children who wore both orange and black will be 8.
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b) Find the value of 2a2 + 5b2 when a = -6 and b = 2
Answer: -4 because 2(-6)2 = -24 and 5(2)2 = 20 so -24 + 20 is -4.
Answer:-4
Step-by-step explanation:
2(-6)2
2 x -6 x 2=-24
5 x 2 x 2=20
-24+20=-4
characteristics of a number may be positive negative or always zero
Answer:
There is nothing positive or negative about zero. Zero is just zero. It is NEITHER positive NOR negative. To the right of zero on number line are positive numbers and on the left of zero, lie the negative numbers on the number line.
Answer:
Positive numbers are greater than 0 and located to the right of 0 on a number line. Negative numbers are less than 0 and located to the left of 0 on a number line. The number zero is neither positive nor negative.
PLEASE SOLVE ITS FOR A TEST
Answer:
[tex]3\sqrt{3}[/tex]
Step-by-step explanation:
The difference between two positive numbers is 2 and the difference between their squares is 40. Work out the two numbers.
Use the SOLVE Strategy to solve the problem below.
Wendy has taken two tests with scores of 77 and 80. To get an 82 average, what must her grade be on the third test?
Write and solve an equation to find her third test score. Show your work to explain how you determined her test score.
Rubric :
S - Underline the Question. ( 1 Point )
Answered Question, What is the Problem is asking me to find? ( 2 Points )
O- All Math facts are identified. ( 2 Points )
Unnecessary facts are eliminated. ( 2 Points)
All Necessary Facts are listed: ( 1 Point)
L- Use of correct operations . ( 2 Points )
Representation of the unknown. ( 2 Points)
Explained in a logical and sequential order. ( 2 Points)
V- Make estimation . ( 2 Points )
Number sentence matches plan for L. ( 2 Points)
Computation is correct . ( 2 Points )
E- Answer written in complete sentence. ( 1 Point )
Sentence Matches S. ( 1 Point )
Answer is correct . ( 1 Point )
Estimate was reasonable for the answer. ( 1 Point )
Answer: wendy should pick S
Step-by-step explanation:
The perimeter of the quadrilateral below is 119 units. Find the length of side AB.
Answer:
Step-by-step explanation:
What is the equation of the line that is perpendicular to the line y =1/2x+5 and passes through the point (-2, 3)?
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]y=\stackrel{\stackrel{ m}{\downarrow }}{\cfrac{1}{2}}x+5\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{1}{2}} ~\hfill \stackrel{reciprocal}{\cfrac{2}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{2}{1}\implies -2}}[/tex]
so, we're really looking for the equation of a line with a slope of -2 and that passes through (-2 , 3)
[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{3})\hspace{10em} \stackrel{slope}{m} ~=~ - 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{- 2}(x-\stackrel{x_1}{(-2)})\implies y-3=-2(x+2) \\\\\\ y-3=-2x-4\implies y=-2x-1[/tex]
The 10th term of arithmetic sequence is three and common difference is three find the third term
Answer:
-18
Step-by-step explanation:
From 3 to 10th term is 7 d's ( d = common difference)
3 - 7d = third term
3 - 7(3) = -18
Un automóvil recorre 1122.4 km con 80 litros de gasolina ¿cuántos kilómetros recorre con 16 litros de gasolina?
The automobile covers 224.48 km.
This problem can be solved by using the unitary method.
In this method we calculate the value for a unit quantity and then multiply it with the desired number for which we want to calculate.
Here it is given that a automobile covers 1122.4 km with 80 liters.
For 1 liter of gasoline distance covered = [tex]\frac{1122.4}{80}[/tex]
= 14.03 km
So, for 16 liters of gasoline distance covered will be = 16× 14.03
= 224.48 km
Therefore the automobile covers 224.48 km for 16 liters of gasoline.
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