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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Roslan had a total of 50$ in 10-cents coins,20- cent coins and 50-cents coins .the value of his 10- cents coins was 30% of the total value of all his coins.the value of his 20-coins wad 28% of the total value of all his coins. what was the value of his 50-cents coins?
The value of 50-cents coins is $21, the value of 10-cents coins is $15 and the value of the 20-cents coins is $14.
Percentage of the number:
Percentage is defined as the a number or ratio that can be expressed as a fraction of 100.
If we have to calculate percent of a number, divide the number by the whole and multiply by 100.
Given,
Roslan had a total of 50$ in 10-cents coins,20- cent coins and 50-cents coins.
The value of his 10- cents coins was 30% of the total value of all his coins.
The value of his 20-cents coins was 28% of the total value of all his coins.
Here we need to find the value of 50-cent coins.
We know that,
Total value = $50
So the value of 10-cent coins
=> 30% × $50 = $15
Then the value of 20-cent coins
=> 28% × $50 = $14
Through the known values of 10-cents and 20-cents we have calculate the value of 50-cents coins as,
=> $50 – $15 – $14 = $21
Therefore, the value of 50-cents coins is $21.
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A table
cloth is 82 inches
long. What is its length in
feet and inches?
Find the area of the parallelogram with the given vertices. k(1, 1, 3), l(1, 3, 5), m(6, 9, 5), n(6, 7, 3).
The area of the parallelogram is [tex]\sqrt{132}[/tex].
What is a parallelogram?A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure. Also, the interior angles on the same side of the transversal are supplementary. Sum of all the interior angles equals 360 degrees.
Given that,
vertices k(1, 1, 3), l(1, 3, 5), m(6, 9, 5), and n(6, 7, 3)
Area of Parallelogram = |KL × KN|
KL = (1, 1, 3) - (1, 3, 5) = (0, 2, 2)
KN = (1, 2, 3) - (3, 7, 3) = (2, 5, 0)
Area of the parallelogram = cross product of two vectors, represented by the adjacent sides.
Area of Parallelogram = |(0, 2, 2) × (2, 5, 0)|
= |i(2 × 0 - 5 × 2) - j(0 × 0 - 2 × 2) + k(0 × 5 - 2 × 2)|
= |i(-10) - j(-4) + k(-4)|
= |-10i + 4j - 4k|
= [tex]\sqrt{(-10)^{2}+(4)^{2}+(-4)^{2} }[/tex]
= [tex]\sqrt{100+16+16}[/tex]
= [tex]\sqrt{132}[/tex]
Hence, The area of the parallelogram is [tex]\sqrt{132}[/tex].
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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.
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
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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4x-10=-6x-2 the value of x
Answer:
x = [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
4x - 10 = - 6x - 2 ( add 6x to both sides )
10x - 10 = - 2 ( add 10 to both sides )
10x = 8 ( divide both sides by 10 )
x = [tex]\frac{8}{10}[/tex] = [tex]\frac{4}{5}[/tex]
[tex]\frac{8(29-7*4)}{4+7-8+1}-3(2)/6[/tex]
The solution for the expression {8 ( 29 - 7 * 4 ) / ( 7 + 4 - 8 + 1 } - 3 ( 2 ) / 6 will be 1.
We are given the expression:
{8 ( 29 - 7 * 4 ) / ( 7 + 4 - 8 + 1 } - 3 ( 2 ) / 6
We will solve this expression by using the property of PEMDAS:
Solving the expression , we get
{8 (29 - 28) / 11 - 8 + 1} - 3 (2) / 6
= (8 × 1) / 4 -( 6 / 6)
= 2 - 1
= 1
Therefore, the solution for the expression {8 ( 29 - 7 * 4 ) / ( 7 + 4 - 8 + 1 } - 3 ( 2 ) / 6 will be 1.
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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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A snail moves at a pace of 2 ft/min. how fast does the snail move in inches/hour?
The snail move at the pace in 1440in/hr.
Speed:
Speed is measured as the ratio of distance to the time in which the distance was covered.
Speed is a scalar quantity as it has only direction and no magnitude.
Given,
A snail moves at a pace of 2 ft/min.
Here we need to find how fast does the snail move in inches/hour.
We know that,
1 ft/min = 720.00 in/h
So, here we have 2 feet/minute.
That is equal to
=> 2 x 720.00 in/h
When we multiply it then we get the value of,
=> 1440 in/hr
Therefore, the snail move at the pace in 1440in/hr.
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The difference between two positive numbers is 2 and the difference between their squares is 40. Work out the two numbers.
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:
Solve the quadratic equation by completing the square.
x²+18x+79=0
Step-by-step explanation:
completing the square means finding an expression
(x + a)² = b²
or
(x - a)² = b²
(x + a)² = x² + 2ax + a²
(x - a)² = x² - 2ax + a²
because of the "+ 18x" in the original equation we know that we are looking for (x + a)².
now, let's compare the different terms :
x² = x²
18x = 2ax
18 = 2a
a = 9
so, the complete square would look like
(x + 9)² = x² + 18x + 81
but we have only "+ 79" in the original equation.
so, we add the missing 2 (to both sides to keep the equation true)
x² + 18x + 79 + 2 = 0 + 2
x² + 18x + 81 = 2
(x + 9)² = 2
x + 9 = ±sqrt(2)
x1 = sqrt(2) - 9
x2 = -sqrt(2) - 9
x = sqrt(2) - 9, -sqrt(2) - 9
yes, every quadratic equation has 2 solutions.
as every cubic equation has 3 solutions.
and so on.
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
Which is an equivalent expression for 4 times d raised to the negative third power all over quantity 22 times d raised to the ninth power end quantity?
really need help pleeease
An equivalent expression for 4 times d raised to the negative third power all over quantity 22 times d raised to the ninth power is 2d⁻³/11d⁻⁹
What is an expression?An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
What is an exponent?An exponent can be defined as a mathematical operation that is used to raise a quantity to the power of another and it is generally written as bⁿ.
Translating the word problem into an algebraic expression, we have;
4 times d raised to the negative third power = (4 × d)⁻³ = 4d⁻³
22 times d raised to the ninth power = (22 × d)⁻⁹ = 22d⁻⁹
Next, we would write the equation as a quotient:
Expression = 4d⁻³/22d⁻⁹
Expression = 2d⁻³/11d⁻⁹
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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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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:
Write 863.141 in expanded form.
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
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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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]
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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Convert 7.6miles to kilometers with solutions
Answer:
12.2 km
Step-by-step explanation:
Here is ONE way :
7.6 mi * 5280 ft/mi * 12 in / ft / (39.37 in / m * 1000 m / km) = 12.2 km
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
NEED HELP 25 POINTS COME NOW
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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3(8-3)+2(4-1)
9(6-2)-11(5-2)
the solution for it ..
solving the bracket is important
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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