Answer:140.07
Step-by-step explanation:
Answer:
$149.80
Step-by-step explanation:
To find sales tax you need to multiply the original cost of the item by the sales tax (converted into a decimal). In this case the sales tax converted would be 0.07. Now multiply that decimal by the original cost:
140 x 0.07 = 9.80
9.80 is how much you would be paying in sales tax. Now take this amount and add it to the original amount to get the total cost.
140 + 9.80 = 149.80
What is the slope of the line that passes through the given points?
(2, 12) and (6, 11)
A. –1 over 4
B. 1 over 4
C. 4
D. –4
What is the slope of the line that passes through the given points?
(6, –1) and (–3, –1)
A. undefined
B. 0
C. –two-thirds
D. –start fraction 3 over 2 end fraction
Answer:
For points : (2, 12) and (6, 11)
, option A. is correct.
For points : (6, –1) and (–3, –1), option B. is correct
Step-by-step explanation:
We are given points in both the questions and we need to find the slope.
Slope refers to steepness of curve .It is basically change in y with change in x.
For two points [tex]P\left ( x_1,y_1 \right )\,,\,Q\left ( x_2,y_2 \right )[/tex], slope of line PQ is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
For points : (2, 12) and (6, 11)
Let [tex]P\left ( x_1,y_1 \right )=(2, 12)\,,\,Q\left ( x_2,y_2 \right )=(6, 11)[/tex],
Slope is [tex]\frac{11-12}{6-2}=\frac{-1}{4}[/tex] i.e, - 1 over 4
So, option A. is correct.
For points : (6, –1) and (–3, –1)
Let [tex]P\left ( x_1,y_1 \right )=(6, -1)\,,\,Q\left ( x_2,y_2 \right )=(-3, -1)[/tex]
Slope is [tex]\frac{-1+1}{-3-6}=\frac{0}{-9}=0[/tex]
So, option B. is correct
The required slope of the lines with the given coordinates are as follow,
For first line option A. -1/4
For second line option B.0.
For the first set of coordinates of the line,
Points are (2, 12) and (6, 11)
let (x₁ , y₁ ) = (2, 12 )
( x₂ , y₂ ) = (6, 11 )
Slope of the line for the two coordinates (x₁ , y₁ ) = (2, 12 ) and
( x₂ , y₂ ) = (6, 11 ) is equal to
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substitute the value ,
m = ( 11 - 12 ) / ( 6 - 2 )
= -1 / 4
For the second set of coordinates of the line,
Points are (6, -1) and (-3, -1)
let (x₁ , y₁ ) = (6, -1 )
( x₂ , y₂ ) = (-3, -1 )
Slope of the line for the two coordinates (x₁ , y₁ ) = (6, -1 ) and
( x₂ , y₂ ) = (-3, -1 ) is equal to
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substitute the value ,
m = ( -1 - (-1) ) / ( -3 - 6 )
=0 / -9
= 0
Therefore, slope of the lines are option A. -1/4 and option B.0.
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What is the answers of 2ft × 4ft
Answer:
8ft.
Step-by-step explanation: If you are finding he area, 2 times 4 equals 8, so the answer would be 8 feet.
What are the possible rational roots of the polynomial equation?
0=2x7+3x5−9x2+6
Answer: [tex]\pm\frac{1}{1}, \pm\frac{1}{2},\pm\frac{2}{1},\pm\frac{3}{1}, \pm\frac{3}{2}[/tex]
Step-by-step explanation:
We can use the Rational Root Test.
Given a polynomial in the form:
[tex]a_nx^n +a_{n- 1}x^{n - 1} + … + a_1x^1 + a_0 = 0[/tex]
Where:
- The coefficients are integers.
- [tex]a_n[/tex] is the leading coeffcient ([tex]a_n\neq 0[/tex])
- [tex]a_0[/tex] is the constant term [tex]a_0\neq 0[/tex]
Every rational root of the polynomial is in the form:
[tex]\frac{p}{q}=\frac{\pm(factors\ of\ a_0)}{\pm(factors\ of\ a_n)}[/tex]
For the case of the given polynomial:
[tex]2x^7+3x^5-9x^2+6=0[/tex]
We can observe that:
- Its constant term is 6, with factors 1, 2 and 3.
- Its leading coefficient is 2, with factors 1 and 2.
Then, by Rational Roots Test we get the possible rational roots of this polynomial:
[tex]\frac{p}{q}=\frac{\pm(1,2,3,6)}{\pm(1,2)}=\pm\frac{1}{1}, \pm\frac{1}{2},\pm\frac{2}{1},\pm\frac{3}{1}, \pm\frac{3}{2}[/tex]
The possible rational roots of the polynomial equation [tex]0 = 2x^7 + 3x^5 - 9x^2 + 6.[/tex] are ±1, ±2, ±3, ±6, ±1/2, ±1, ±3/2, and ±3.
Given equation [tex]0 = 2x^7 + 3x^5 - 9x^2 + 6[/tex].
The Rational Root Theorem states that if there are any rational roots (fractions in the form p/q) for the polynomial equation, then p must be a factor of the constant term (in this case, 6), and q must be a factor of the leading coefficient (in this case, 2).
So, the possible rational roots (fractions p/q) for this polynomial are all the combinations of p and q, where:
p is a factor of 6, and
q is a factor of 2.
The factors of 6 are ±1, ±2, ±3, and ±6.
The factors of 2 are ±1 and ±2.
So, the possible rational roots are all the combinations of these factors:
±1/1, ±2/1, ±3/1, ±6/1, ±1/2, ±2/2, ±3/2, and ±6/2.
Simplify these fractions:
±1, ±2, ±3, ±6, ±1/2, ±1, ±3/2, and ±3.
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If you are writing an equivalent expression for 2^3 times 2^4, how many times would you write two as a factor?
Answer:
[tex]2^3(2^4)=2^{3+4}=2^7=2(2)(2)(2)(2)(2)(2)[/tex]
Step-by-step explanation:
You can write 2 as a factor of [tex]2^3 \times 2^4[/tex] 7 times
The given expression can be written mathematically as:
[tex]2^3 \times 2^4[/tex]
We can simplify the expression by using the rule of indices shown below:
[tex]a^b \times a^b = a^{b+c}[/tex]
Applying the rule above to the given expression:
[tex]2^3 \times 2^4\\\\2^{3+4}\\\\2^7[/tex]
Therefore [tex]2^3 \times 2^4 = 2^7[/tex]
You can write 2 as a factor of [tex]2^3 \times 2^4[/tex] 7 times
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The line passing through the point (-2,5)and (1,a) is perpendicular to the line 2x-y-5=0, find the value of a
Answer:
a = 7/2
Step-by-step explanation:
2x - y - 5 = 0
2x = y + 5
y = 2x - 5
m = -1/2
y - 5 = -1/2(x - (-2))
y - 5 = -1/2(x + 2)
y - 5 = -x/2 - 1
y = -x/2 + 4
a = -1/2 + 4
a = 7/2
What is -1/4 x (-8/9) in simplest form??
Answer:
The right answer is [tex]\frac{2}{9}[/tex].
Step-by-step explanation:
To multiply two fractions we multiply numerator by numerator and denominator by denominator. In this case:
[tex]\frac{-1}{4} x\frac{-8}{9} = \frac{8}{36}[/tex]
Notice that both numerator and denominator are divisible by 4. Dividing both by 4 we get [tex]\frac{8}{36} = \frac{2}{9}[/tex]
Plz help me I need help
Answer:
Step-by-step explanation:
Evaluate 3(x-4)+2x-x^2 for x=5
Answer:
-12
Step-by-step explanation:
3(x-4)+2x^2
when x =5 , sub 5 into x
3(5-4)+2(5)-(5)^2
=15-12+10-25
=-12
Answer:
Step-by-step explanation:
3(x-4)+2x-x^2 first you should eliminate the parentheses
3x-12+2x-x^2 now replace x for 5
3(5)-12+2(5)-(5)^2
15-12+10-25
-12
Lourdes is making a frame in the shape of a parallelogram. She adds diagonal braces to strengthen the frame. Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point D to point B and intersect at point E. The length of D E is (3 y + 6) centimeters, the length of E B is (5 y minus 10) centimeters, and the length of E C is (2 y + 4) centimeters. How long is the brace that connects points B and D? 8 cm 16 cm 30 cm 60 cm
Answer:
60 cm
Step-by-step explanation:
Parallelogram ABCD is shown in attached diagram. The diagonals of the parallelogram bisect each other, so
AE = EC
BE = ED
Ib DE = 3y + 6 cm, BE = 5y - 10 cm, then
[tex]3y+6=5y-10\\ \\3y-5y=-10-6\\ \\-2y=-16\\ \\2y=16\\ \\y=8\ cm[/tex]
Now, EC = 2y + 4, so
[tex]EC=2\cdot 8+4=16+4=20\ cm[/tex]
Since AE = EC, then AE = 20 cm
The brace that connects points B and D has the length
[tex]BD=BE+ED=3y+6+5y-10=8y-4=8\cdot 8-4=64-4=60\ cm[/tex]
The brace that connects points A and C has the length
[tex]AC=AE+EC=20+20=40\ cm[/tex]
Answer:
60cm
Step-by-step explanation:
27. A tank holds 240litres of water. How much water is in the tank when it is full?
(a) 240 litres
(b) 192 litres
(c) 132 litres
Answer:
240 liters
Step-by-step explanation:
because the tank holds 240 liters so if it's full then it will be the same
In the tank, there are 240 liters of water, as mentioned in the given condition. Option A is correct.
Given that
A tank holds 240 liters of water.
Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
Here,
As mentioned in the condition the tank can hold 240 liters of water, so as of the given data when the tank is full there can only be 240 liters of water.
Thus, In the tank, there are 240 liters of water, as mentioned in the given condition. Option A is correct.
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Solve the system of equations:
y = 2x - 5
y = x2 - 5
To solve the system of equations y = 2x - 5 and y = x² - 5, use algebraic methods such as factoring or the quadratic formula to find the x-values. Then plug these values back into one of the original equations to find the corresponding y-values. The solutions to the system of equations are (5, 5) and (-2, -9).
Explanation:To solve the system of equations y = 2x - 5 and y = x² - 5, we can set the two equations equal to each other since they both equal y. This gives us the quadratic equation x² - 2x - 10 = 0. We can solve this quadratic equation by factoring, completing the square, or using the quadratic formula.
Factoring the quadratic equation, we get (x - 5)(x + 2) = 0. This means that x - 5 = 0 or x + 2 = 0. Solving these two equations gives us x = 5 or x = -2. Substituting these values back into either of the original equations, we can find the corresponding y-values. For x = 5, y = 2(5) - 5 = 5. For x = -2, y = 2(-2) - 5 = -9. Therefore, the solutions to the system of equations are (5, 5) and (-2, -9).
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Given the function, d(t) = 50t, the variable t represents which of the following? Select all that apply. input output function independent variable dependend variable
will give brainlyist if you want it
Answer:
Input
Independent variable
Step-by-step explanation:
we know that
Independent variables, are the values that can be changed or controlled in a given model or equation
Dependent variables, are the values that result from the independent variables
we have the function
[tex]d(t)=50t[/tex]
In this problem
The function d(t) represent the dependent variable or the output
The variable t represent the independent variable or input
Answer:
input and independet variable
Step-by-step explanation:
What is the solution to the equation below?
5 + 6x = 2x - 7
A. x = -3
B. X = 1.5
C. x= -1.5
D. X = 3
[tex]\huge\boxed{\text{A.}\ x=-3}[/tex]
Start by subtracting [tex]2x[/tex] from both sides of the equation. Our goal is to isolate the variable. [tex]5+4x=-7[/tex]
Now, subtract [tex]5[/tex] on both sides. [tex]4x=-12[/tex]
Finally, divide both sides by [tex]4[/tex]. [tex]x=\boxed{-3}[/tex]
Answer:
A. x = -3
Step-by-step explanation:
5 + 6x = 2x - 7
5 + 7 = 2x - 6x
12 = -4x
12/-4 = x
-3 = x
is the solution of this equation extraneous?
Answer:
x = - 3 is extraneous
Step-by-step explanation:
Given
[tex]\sqrt{x+7}[/tex] - 1 = x ( add 1 to both sides )
[tex]\sqrt{x+7}[/tex] = x + 1 ( square both sides )
x + 7 = (x + 1)² ← distribute right side
x + 7 = x² + 2x + 1 ( subtract x + 7 from both sides )
0 = x² + x - 6 ← in standard form
0 = (x + 3)(x - 2) ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 2 = 0 ⇒ x = 2
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions.
x = - 3 : [tex]\sqrt{-3+7}[/tex] - 1 = [tex]\sqrt{4}[/tex] - 1 = 2 - 1 = 1 ≠ - 3
x = 2 : [tex]\sqrt{2+7}[/tex] - 1 = [tex]\sqrt{9}[/tex] - 1 = 3 - 1 = 2
x = 2 is a solution and x = - 3 is extraneous
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Step-by-step explanation:
Look at the photo below for the answer.
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Two numbers have a GCF of 6 one is 24 the other number is less than 30 what could the other number be ?
The other number could be 6. The GCF of 6 and 24 is 6, and 6 is less than 30.
what is the value of 6*7-3^2*9+4^3
please show work will give 5 stars and brainliest
-615
I'm assuming you meant this. (6*7) - (3^2) *(9+4^3)
(42) - (3^2) * (9+4^3)
(42) - (9) * (9+4^3)
(42) - (9) * (9+64)
(42) - (9) * (73)
42 - 657
-615
Hope this helps!
Liliana eants to write an
Answer:
Step-by-step explanation:
Answer:
the new height will be:
d.168 inches
Answer:
168 inches
Step-by-step explanation:
What is a interrogative sentence
Answer:
A sentence that has or is conveying a question.
Step-by-step explanation:
Answer:
Step-by-step explanation:
sentence that asks a question.
88.6 as a mixed number
88.6 as a mixed number is 14 2/3
simplify 3x + 6 x 2 - 5 x - x2
Answer:
5x^2 − 2x
Step-by-step explanation:
Let's simplify step-by-step.
=3x + 6x^2 + − 5x + − x^2
Combine Like Terms:
=3x + 6x^2 + − 5x + − x^2
=( 6x^2 + − x^2 ) + ( 3x + − 5x )
= 5x^2 + − 2x
Answer:
5x^2 − 2x
hope this helps!!
find the product 1/6 × 2/3
Answer:
1/9
Step-by-step explanation:
multiple the two top numbers then multiple the bottom numbers which equals 2/18 and in other forms is 1/9
you are planting a vegetable garden with 10 rows. if it took 24 minutes to plant the first 3 rows, how many minutes will it take to plant all 10 rows of the garden
Answer:
it will take 80 minutes
Step-by-step explanation:
Total no.of rows=10
Time taken to plant 3 rows = 24 min
So,find time taken for planting 1 row
which is =24/3=8min
total time taken to plant 10 rows=8×10=80min
so it takes 80 min to plant 10 rows
It takes 8 minutes to plant one row of the garden and therefore to plant all 10 rows, it will take a total of 80 minutes.
Explanation:This question is asking for the total time it would take to plant a garden with 10 rows of vegetables if it took 24 minutes to plant the first 3 rows. First, we need to understand how long it takes to plant one row. To find this out, we divide the total amount of time (24 minutes) by the number of rows planted in that time (3 rows). This gives us how long it takes to plant one row: 24 minutes ÷ 3 rows = 8 minutes per row. Now that we know this, we can work out how long it would take to plant all 10 rows. We do this by multiplying the time it takes to plant one row (8 minutes) by the total number of rows we need to plant (10 rows). This gives us the total time: 8 minutes per row x 10 rows = 80 minutes. So, it would take 80 minutes to plant all 10 rows of the garden.
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Age of car = 2 years.
Original cost = $14,995.
The current market value is $
Answer:
7,497.50 OR, 7,497 &1/2 in fraction form
Step-by-step explanation:
I got this answer by dividing 14,995 by 2 and got $7,497.50 hope this helps you mark as brailiest if best answer if any questions comment on this question below!! ThNks !!
Answer:
7,497.50
Step-by-step explanation:
There are 300 passengers on board an airplane. 2/3 of them are men, 1/4 are women and the rest are children. How many children are there?
Answer:
25.
Step-by-step explanation:
2/3 of 300 is 200
1/4 of 300 is 75
Answer:
25
Step-by-step explanation:
2/3 of 300 is 200
1/4 of 300 is 75
you are traveling on a bus to camp, which is 200 miles away, at 50 mph. The number of miles, n, that you have left to travel after t hours
The equation that represents the number of miles covered in time t will be n = 50t.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
you are traveling on a bus to camp, which is 200 miles away, at 50 mph. The number of miles, n, that you have left to travel after t hours. Then the equation will be
50 = n / t
n = 50t
The equation that represents the number of miles covered in time t will be n = 50t.
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The camp cook made 1 1/2 pints of baked beans. Each serving of beans is 3/4 of a pint. How many servings of beans did the cook make?
Answer:
number of servings = 5 servings
Explanation:
We are given that each serving is 3/10 of a pint. To know the number of servings of 1.5 pints, we will simply use cross multiplication as follows:
1 serving ....................> 3/10 pint
?? servings ................> 1.5 pints
number of servings = (1.5*1) / (3/10)
number of servings = 5 servings
Hope this helps :)
Answer:
11/2-3/4
11-6/2=5/2
Step-by-step explanation:
The length of a school bus is 12.6meters.if 9 school buses park end to end with 2meters between each one, what’s the total length from the front of the first bus to the end of the last bus?
First, 12.6 times 9 is 113.4. So withouth the space, that is how long the busses are. Then you do 2meters times 8 is 16 meters between the busses. 113.4+16 equals 129.4, the final answer.
Answer: The total length from the front of the first bus to the end of the last bus is 129.4 meters.
Step-by-step explanation:
Hi, to answer this question we have to multiply:
The number of buses by the length of each one
12.6 x 9 = 113.4 metersThe number of spaces between buses by the length of each space.
Since there is no space in front of the first bus and behind the last bus, there are 8 spaces in between.
8 x 2 = 16 Adding both results: 16 + 113.4 =129.4 meters front to backFeel free to ask for more if needed or if you did not understand something.
What is the product 7,000 x 50 written as the product of a whole number and a power of 10 ?
Answer:
35,000^10
Step-by-step explanation:
multiply 7,000 and 50 first (350,000) then erase the last 0 (35,000) then raise it to 10 (35,000^10)
2x -5 = 15 two step equation
Answer:
x = 10
Step-by-step explanation:
collect like terms, so add 5 to both sides: 2x = 20
divide both sides by 2 to get the value of x: x = 10
Answer:
x=10
Step-by-step explanation:
first, add 5 to both sides. the -5 and +5 cancel out, and 15 + 6 is 20. 2x=20. now divide 2 on both sides. the 2s cancel out and 20/2 is 10, so x=10.
9(8d-5)+13=12d-2 solve with steps
Answer:
d=1/2
Step-by-step explanation:
9(8d-5)+13=12d-2
1) Use the distributive property:
72d-45+13=12d-2
2) Combine alike terms:
72d-32=12d-2
3) Add 32 to both sides:
72d=12d+30
4) Subtract 12d on both sides:
60d=30
5) Divide both sides by 60:
d=30/60
6) Simplify 30/60 to 1/2