the difference between two numbers is -1. their sum is -27. find the numbers. let x represent the first number and y represent the second number. solve using system s of equations.
Answers
Answer: x = -14, y = -13
Step-by-step explanation:
As stated by the question, we can use a system of equations to help us solve.
First, the difference between two numbers (x and y) is -1. The difference represents subtraction.
x - y = -1
Next, the sum of the numbers (x and y) is -27. The sum represents addition.
x + y = -27
Now, we can solve this system. We will graph both of the equations. The point of intersection is the solution, see attached. This gives us an answer of x = -14 and y = -13.
x - y = -1
x + y = -27
Related Questions
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?
Answers
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!!
Answers
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
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.
Answers
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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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?
Answers
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)
Which is the better deal? 16 oz of jelly for $3.30 or 48 oz of jelly for $8.64
Answers
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 please find x ?
[tex]\frac{4}{3} x- \frac{1}{3} = x + 7[/tex]
Answers
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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can u guys please help me with is problem!! (ᗒᗩᗕ|||)
Answers
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?
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?
Answers
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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7.8 x 10 3
--------------
1.2 x 10 4
Answers
Step-by-step explanation:
7.8 ×1000=7800.
1.2×10000=12000.
7800÷12000=0.65.
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?
Answers
Answer:
the answer is 136 miles
I need help for the Wednesday one
Answers
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.
What is (-2/3)+(7/8)?
Answers
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
Find the sum of 0.55 and 0.41 i need help
Answers
Help!! Find the domain of the graphed function.
Answers
if you were to look at the x coordinates from any point in the function, it’s always more than 0 (the first point is 0). every x point is greater than 0 so it can’t be all real numbers since that would include negative x coordinates
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?
Answers
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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B is between A and C. If
AB=x+4 , BC=2x−2 , and AC=4x−1 , what is AB?
AB= (geometry someone help)
Answers
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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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
Answers
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:
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
Answers
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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prove that the set of all xy=0 in R^n is not an open set
Answers
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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What is the ones digit in the number 2^2076Hint: Start with smaller exponents to find a pattern.
Answer
Answers
Answer:
Step-by-step explanation: i think 9 the 9 is in one digits
3) A closed rectangular box with volume 12 cubic feet is such that the length of its base is twice
the width. Express the surface area of the box as a function of the width.
Point Breakdown
1) 8 points (4/4)
2) 6 points
3) 6 points
Answers
A closed rectangular box with volume 12 cubic feet is such that the length of its base is twice the width.The surface area of the box as a function of the width is (4b³ +36)/b.
volume 12 cubic feet
volume =(l)(b)(h)=12
l=2b
(2b)(b)(h)=12
h=6/b²
Surface area = 2 (lb + bh + lh)
= 2((2b)(b) + b(6/b²) + 2b(6/b²))
=4b² + 12/b + 24/b
= (4b³ +36)/b
A three-dimensional object's surface area is the sum of all of its faces. Real-world applications of the notion of surface areas include wrapping, painting, and finally constructing things to get the greatest potential design.
An object's surface area is the total area that all of its surfaces occupy. The formulae we will learn in this post make it simple to determine the various surface areas that various 3D forms in geometry have. There are two groups for the surface area:
The surface area that is laterally oriented or curved
Surface area overall
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50 points please show your work and answer all of them
Answers
Answer/Step-by-step explanation:
Convert:
8m to _800_cm
K H D B D C M
8 -> 80 -> 800
---------------------------------------------------------------------------------------------------
Interpret and simplify:
1 added to the difference of 12 and 9
1 + (12 - 9)
1 + (3) = 4
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Write a positive or negative integer that represents the following:
A football team loses 14 yards on a play.
loses indicated a negative
-14
------------------------------------------------------------------------------------------------------
Evaluate:
4 3
------- + -------
20 12
4 (3) 3 (5)
------- + -------
20 (3) 12 (5)
12 15 27
------- + ------- = -------
60 60 60
27 ÷ 3 9
------- = --------
60 ÷ 3 20
----------------------------------------------------------------------------------------------------------
Write the Prime Factorization of 24.
24
/ \
2 × 12
/ \
2 × 6
/ \
2 × 3
Prime factorization = 2 × 2 × 2 × 3 or 2³ × 3
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Tell whether the ordered pair is a solution of the equation:
y = x + 7; (1, 6)
(x, y)
6 = 1 + 7
6 = 8
Not a solution
----------------------------------------------------------------------------------------------------------
Simplify and Graph the following:
x = -2 - 3
x = -5
↑
<-----|--------------------------------->
-5
↓
Don't worry about the other numbers. Put a dot on -5 and draw a line vertically (up and down).
----------------------------------------------------------------------------------------------------------
If the weight of a package is multiplied by (5/7). The result is 40.5 pounds. find the weight of the package.
x(5/7) = 40.5
--------- --------
÷(5/7) ÷(5/7)
x = 56.7
----------------------------------------------------------------------------------------------------------
A = (1/2)bh
A= (1/2)(8)(5)
A = (1/2)(40)
A = (20)
A = 20in²
----------------------------------------------------------------------------------------------------------
I hope this helps!
Idrk what to name this but- just only answer if you are sure
Answers
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%. :)
9 divided by 836 step by step
Answers
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]
A parking lot is shaped like a parallelogram and bounded on four sides by streets, as shown in the figure to the right. How much asphalt (in square yards) is needed to pave the parking lot?
The amount of asphalt needed to pave the parking lot is __ yd^3, yd, or yd^2
Answers
Amount of Asphalt needed = 27000 square yards
The shape of the parking lot is a parallelogram.
In the figure, the base of the parking lot is of length 180 yd and the height of the parking lot is 150 yd.
If 'b' is the base of the parallelogram and 'h' its height, then area of the parallelogram, A = bh
So here, base length, b = 180 yd
and height, h = 150 yd.
Therefore, area of the parking lot which is parallelogram, A = bh
= 180 x 150
= 27000 yd² (square yards)
Amount of Asphalt needed to pave the parking lot = Area of the parking lot
= 27000 square yards
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determine a series of transformations that would map polygon abcd onto polygon a'b'c'd
Answers
Answer: a reflection across the y-axis and scaling it by a factor of 1/2
Step-by-step explanation: First, you need to reflect the shape over the y-axis to move it into the neighboring quadrant. After that, you scale the polygon down by a factor of 1/2, because the lengths of the line segments of A'B'C'D' are half the length of the original polygon, ABCD.
what are the missing lengths for the triangle 45 45 5v2
Answers
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 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)
Answers
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
Complete the statement.
x(y + 5) = x(__) + x(__)
Answers
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.
can someone answer this please