The graph of the direct variation passes through the origin
The revolution per foot of travel is 0.2The slope of the graph is 5The revolution per foot of travelFrom the graph, we have the following points
(x.y) = (0,0) and (2,10)
Where:
x represents the number of revolutions
y represents the distance in feet
The revolution per foot of travel (r) is then calculated as:
[tex]r = \frac{x_2 -x_1}{y_2 -y_1}[/tex]
This gives
[tex]r = \frac{2 - 0}{10 - 0}[/tex]
[tex]r = 0.2[/tex]
This means that, the revolution per foot of travel is 0.2
The slope of the graphThis is the reciprocal of the revolution per foot of travel
In (a), we have:
[tex]r = 0.2[/tex]
So, the slope is:
[tex]Slope = \frac 1{0.2}[/tex]
[tex]Slope = 5[/tex]
Hence, the slope of the graph is 5
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can someone please help me ;w; i would appreciate it
Answer:
Leg: BC (or CB)
Leg: AC (or CA)
Hypotenuse: AB (or BA)
Answer:
Leg 1: BC (CB) 3cm
Leg 2: AC (CA) 4cm
Hypotenuse: AB (BA) 5cm
Step-by-step explanation:
Factor using the GCF. 10x^2+15x-5
Answer:
5
Step-by-step explanation:
srry if im wrong
What is the solution
X^2-4x=-1 ?
Answer:
Factor x2−4x
x2−4x
=x(x−4)
Answer:
x(x−4)
Step-by-step explanation:
Answer:
x (x-4)
Step-by-step explanation:
Is the number 56,240
evenly divisible by the
number 10?
Yes or no
The original price of a dress is $39.99. Julie buys the dress when it is on sale for 10% off its original price. Two weeks later, Mindy buys the same dress when it is now on sale for 20% off its original price.
How much more money did Julie spend than Mindy on the dress?
$ [blank] −−−−−−
Enter your answer as a number. If it is a decimal, round it to the nearest whole number, like this: 42
Answer: julie spent 4 more dollars than mindy
Step-by-step explanation: julie spent 36 dollars in the dress while mindy spent 32 dollars
Julie spend [tex]\$4[/tex] more money than Mindy on the dress.
What is off/Discount?Off/Discount is an amount that is subtracted from the regular price of an item.
The original price of dress [tex]= \$39.99[/tex]
Julie buys the dress for [tex]10\%[/tex] off at its original price.
So,
Julie buys the dress for [tex]= 39.99-(39.99*\frac{10}{100} )[/tex]
[tex]= \$35.991[/tex]
Mindy buys the same dress for [tex]20\%[/tex] off at its original price.
Mindy buys the same dress for [tex]= 39.99-(39.99*\frac{20}{100} )[/tex]
[tex]=\$31.992[/tex]
So,
Julie spend more money than Mindy on the dress [tex]=35.991-31.992[/tex]
[tex]=\$3.999[/tex]
[tex]=\$4[/tex]
Hence, we can say that Julie spend [tex]\$4[/tex] more money than Mindy on the dress.
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Use the equation to answer the following question. 3x^(2)+7x-20=0
What are the solutions of the equation?
A. x=-(5)/(3) and x=4
B. x=-(4)/(3) and x=5
C. x=(4)/(3) and x=-5
D. x=(5)/(3) and x=-4
I just need help please
Answer:
D. x=(5)/(3) and x=-4
Step-by-step explanation:
mulitply 3 and -20 =
-60
which 2 factors of -60, that when added make +7?
+12 and -5 do this
3(x+12/3)(x-5/3) = 0
3(x+4)(x-5/3)=0
divide both sides by 3
(x+4)(x-5/3)=0
x= -4 and x=5/3
I need help on this question and I need to show the work!
Answer:
b.8
Step-by-step explanation:
6x+2+40+90=180
6x+132=180
6x=180-132
6x=48
x=48/6
x=8
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP
Answer:
(-6, -7)
explanation:
The value of y will be negative and x value shall be same.
Here the original coordinates of A: (-6, 7)
so when reflected: (-6, (-)7) = (-6, -7)
At the grocery store there are two different options for buying Coke. You can buy a 12 pack for $5.49 or an 18 pack for $8.59. Which is the best buy? Justify your answer
Step-by-step explanation:
The 18 Pack why is because it has more Coke than the other one and it is less expensive than the other one if it had 18.
Jane is 7 years older than John.If the sum of their ages is 43.How old is Jane and how old is John
Answer:
If
Jane= x
John = y
y+7= x
x-y=7 ---- (1)
x+y=43 --- (2)
(1) + (2),
x-y+x+y=7+43
2x=50
x= 50÷2
x= 25
substituting x= 25 in (2),
25+y=43
y= 43-25
y= 18
Jane is 25 years old and John is 18 years old.
Step-by-step explanation:
can someone pls help
Answer:
x=5
Step-by-step explanation:
An isosceles trapezoid has two pairs of congruent base angles. This means angle F has to equal angle E. So we have 2x^2+21=3x^2-4. Move the variables to one side and we get 25=x^2. Square root both sides and we get two values x=5 and x=-5. Since angles cannot necessarily be negative, we only want the positive value. In this case x=5.
28% of 63 is what? i'm so confused right now
28% x 63
28 over 100 x 63 over 1
=
17.64
Answer:
[tex]\displaystyle 17\frac{16}{25}[/tex]
Step-by-step explanation:
[tex]\displaystyle 28\%\:of\:63 \\ \\ \frac{7}{25} \times 63 = \frac{441}{25} \\ \\ \boxed{\boxed{17\frac{16}{25}}}[/tex]
To turn 63% into a fraction, write it as a fraction over 100, then simplify it:
[tex]\displaystyle \boxed{\frac{7}{25}} = \frac{28}{100}[/tex]
I am joyous to assist you at any time.
Factor completely 3x2 − 11x 8. (x 4)(3x − 2) (x − 2)(3x − 4) (x 1)(3x − 8) (x − 1)(3x − 8).
The factors of the equation [tex]3x^{2} -11x+8[/tex] will be [tex](3x-8)(x-1)[/tex]
What will be the factors of the given equation?When we split the equation into two groups we will get
[tex]3x^{2} -3x-8x+8[/tex]
[tex]3x(x-1)-8(x-1)[/tex]
Now taking (x-1) common
[tex](3x-8)(x-1)[/tex]
Thus the factors of the equation [tex]3x^{2} -11x+8[/tex] will be [tex](3x-8)(x-1)[/tex]
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pls help asap I’ll mark BRAINLIEST DONT answer if your not sure, this affects my whole grade
Answer:
2.5
Step-by-step explanation:
Add up the 5s of the left side first and you will get 25. Then you add up the 5s on the otherside and you will get 10. Subtract the 10 from the 25 to get 15. Finally, divide 15 by 6 to get the weight of each triangle, 2.5
1: 5 x 5 = 25
2: 5 x 2 = 10
3: 25 - 10 = 15
4: 15/6 = 2.5
The weight of each triangle is 2.5
Have an amazing day!
PLEASE RATE!!
Answer: 2.5
Step-by-step explanation:
What we know:
Both sides need to be equal, and one side already has a constant defined value.
That value is 25 (units)
How to solve:
By using a simple algebraic equation, we can find the value of a triangle's weight. X will represent a square's weight, and y will represent a triangle's weight.
Process:
Set up equation 5x = 2x + 6y
Substitute 5(5) = 2(5) + 6y
Simplify 25 = 10 + 6y
Cancel out -10 -10
15 = 6y
Separate variable /6 /6
Solve 2.5 = y
Solution: y (triangle weight) = 2.5
You can check this by adding 2.5 6 times (15) to 5 2 times (10). This will equal 25, which would balance out the other side
Una compañía de transporte público cobra " "x" " por transportar cierta mercancía 20 kilómetros y " "z" " por transportar la misma mercancía 25 kilómetros. A) Determine la relación entre la tarifa total y la distancia recorrida, suponiendo que es lineal. B) ¿Cuál es la tarifa mínima por transportar esta mercancía? C) ¿Cuál es la cuota por cada kilómetro que la mercancía es transportada?" x = $190. 00 z = $242. 0. Prueba con las sugerencias que aparecen más abajo o introduce una consulta nueva
Utilizando los dos puntos dados, veremos que la relacion lineal es:
A) y = ($10.4 /km)*x -$18A) y = ($10.4 /km)*x -$18B) -$7.6C) $10.4 /km¿Como encontrar la relacion lineal?Una ecuación lineal se escribe como:
y = a*x + b
donde a es la pendiente y b es la ordenada al origen.
Sí sabemos que una linea pasa por los puntos (x₁, y₁) y (x₂, y₂), entonces la pendiente va a ser:
a = (y₂ - y₁)/(x₂ - x₁).
Aca tenemos los dos puntos:
(20km, $190)
(25 km, $242)
Entonces la pendiente será:
a = ($242 - $190)/(25km - 20km) = $10.4 /km
y = ($10.4 /km)*x + b
Para obtener el valor de b, usamos uno de los puntos. Evaluando en x = 20km deberiamos obtener y = $190, entonces:
$190 = ($10.4 /km)*20km + b
$190 = $208 + b
$190 - $208 = b = -$18
Entonces la ecuación es:
y = ($10.4 /km)*x -$18
B) La tarifa minima es lo que obtenemos con x = 1 km, entonces es:
y = ($10.4 /km)*1 km - $18 = -$7.6
Notar que da un valor negativo, lo que indica que la relación quizas no es lineal.
C) La cuota por kilometro es la pendiente de la relación lineal, en este caso será: $10.4 /km.
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Add (4d+1)+(2y+9) please help
Answer: 4d + 2y + 10
Step-by-step explanation: Hoped This Helped! Thx For The Points!
Consider the polynomial 3x3 - 2x + 7.
1) How many terms does this polynomial have?
2) What is the coefficient of the second term?
1) The polynomial has five terms.
2) The coefficient of the second term is - 2.
1) The polynomial has five terms.
2) The coefficient of the second term is x.
1) The polynomial has three terms.
2) The coefficient of the second term is - 2.
1) The polynomial has three terms.
2) The coefficient of the second term is x.
Answer:
1. Three terms 2. the coefficient is x
Step-by-step explanation:
1) The polynomial has three terms.
2) The coefficient of the second term is -2.
What is polynomial?"It is composed of variables, constants, exponents, and combined using the mathematical operations such as addition, subtraction, multiplication."
For given question,
We have been given a polynomial [tex]3x^3 - 2x + 7[/tex]
For given polynomial, the total number of terms = 3
The second term of given polynomial is -2x.
So, the coefficient of the second term is -2.
Therefore, 1) The polynomial has three terms.
2) The coefficient of the second term is -2.
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You have 5 1/3 foot pipe and you want to cut it into pieces. How many 2/3 pieces could you make?
Answer:
5.1 pieces
Step-by-step explanation:
You have to divide the measure of foot pipe by the measure of how many pieces to make. So,
1) 5 1/3 / 2/3
2) Simplify the mixed number, 5 1/3, into an improper fraction
3) 17/5 / 2/3
4) 5.1
PLSSS HELP IF YOU TURLY KNOW THISS
Answer/Explanation:
The answer is B!
A mixed number from an improper fraction is when you take that improper fraction and fix it into whole numbers. It's kind of like a decimal but with fractions.
Examples:
6/4 = 1 and 2/4 or 1 and 1/2
9/2= 4 and 1/2
17/6= 2 and 5/6
Make sense?
improper fraction into a mixed number
1. divide the numerator by the denominator
2. the quotient becomes the whole number
3. the remainder becomes the numerator
4. the denominator remains the same.
12 : 5 = 2 remainder 2
[tex]\tt \dfrac{12}{5}=2\dfrac{2}{5}[/tex]
This is for my little brother
Answer:
9 1/3
Step-by-step explanation:
Pls, choose me as brainliest!
10 less than the product of 4 and z
Answer:
4z-10
Step-by-step explanation:
Hope this helped idek if its an option but so srry if its wrong.
2. Calculate the area of
the three figures.
Which figure has the
greatest area?
Answer:
can you send a clearer picture
A square and an equiangular triangle have the same perimeter. If the area of the square is 144 cm2, what is the length of one side of the triangle
What is the product of (3 y Superscript negative 4 Baseline) (2 y Superscript negative 4 Baseline)? StartFraction 6 Over y Superscript 8 Baseline EndFraction StartFraction 1 Over 6 y Superscript 6 Baseline EndFraction StartFraction 6 Over y Superscript 16 Baseline EndFraction StartFraction 1 Over 6 y Superscript 16 Baseline EndFraction.
The product of these two expressions 3y⁻⁴ and 2y⁻⁴ is 6/y⁸. Then the correct option is A.
What is multiplication?It is also known as the product. If the object n is given to m times then we just simply multiply them.
The expressions are as 3y⁻⁴ and 2y⁻⁴.
The product of these two will be
[tex]\rm 3y^{-4} * 2y^{-4}\\\\3*2*y^{-4}*y^{-4}\\\\6*y^{-4-4}\\\\6*y^{-8}\\\\\dfrac{6}{y^{8}}[/tex]
The product of these two expressions 3y⁻⁴ and 2y⁻⁴ is 6/y⁸. Then the correct option is A.
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The result of the product expression [tex](3y ^{-4}) (2y^{-4})[/tex] is 6/y^8
How to determine the product?The product expression is given as:
(3y ^{-4}) (2y^{-4)
Rewrite the expression properly as:
[tex](3y ^{-4}) (2y^{-4})[/tex]
Rewrite the factors of the expression as fractions
[tex]\frac{3}{y ^4} * \frac{2}{y^4}[/tex]
Multiply 3 and 2
[tex]\frac{6}{y ^4*y^4}[/tex]
Apply the law of indices
[tex]\frac{6}{y ^{4+4}}[/tex]
Add 4 and 4
[tex]\frac{6}{y ^{8}}[/tex]
Hence, the product of [tex](3y ^{-4}) (2y^{-4})[/tex] is [tex]\frac{6}{y ^{8}}[/tex]
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Positive, negative, or no relationship
running speed versus time to complete a marathon
The relationship between the running speed versus time can be positive, negative or none at all.
How to determine the relationshipThe question is incomplete, as the graph or table that measures the running speed versus time to complete a marathon is not given.
As a general rule, we have the following parameters:
If the running speed increases with time, then the relationship is positiveIf the running speed increases as time decreases, then the relationship is negativeIf the running speed do not have a pattern of change with time, then there is no relationshipRead more about correlation at:
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What is the volume of the figure below if a = 9 units and b = 7 units?
A.
364.5 cubic units
B.
1,296 cubic units
C.
1,012.5 cubic units
D.
760.5 cubic units
Answer: C
Step-by-step explanation:
The table represents the multiplication of two binomials.
A geometric model with 2 columns and 2 rows. The first column is labeled 3 x with entries A, C. The second column is labeled 5 with entries B, 10. The first row is labeled negative x with entries A, B. The second row is labeled 2 with entries C, 10.
What is the value of A?
Answer:
i think the answer is b
Step-by-step explanation:
Please help me with this.
Answer: A
Step-by-step explanation:
Evaluate the expression when a=- 7 and x=3.
a-8x
Answer:
-31
Step-by-step explanation:
a - 8x will change to (-7) - 8(3) = -31
Answer:-31
\(31\)
Step-by-step explanation:
Substitute: \(7 - 8 \times (- 3)\)
Remove the parentheses:\(7 + 8 \times 3\)
Calculate the product or quotient:\(7 + 24\)
Calculate the sum or difference:\(31\)
Answer: \(31\)
Y-3 = 5(X-2) in standard form
Answer:
5x-y=7
Step-by-step explanation:
y-3=5(x-2)
y-3=5x-10
y=5x-10+3
y=5x-7
5x-y=7