Answer:
Step-by-step explanation:
Okay
x+2y=7
x+2y-2y=7-2y
x=7-2y
4x+2y=10
4x+2y-2y=10-2y
4x=10-2y
divide both sides by 4
4x/4=(10/4)-(2y/4)
x=(5-y)/2
Hope this helps! ^^
Write an equation of each line in standard form with integer coefficients.
a line with slope of 2/3 and y -intercept (0,5)
The equation of the line in standard form with slope equal to 2/3 and y -intercept (0 , 5) is 2x - 3y = -15.
The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.
The standard form of an equation of a line is expressed as ax + by = c, where a and b, if all possible must be integers, are the coefficients of variable x and y, respectively, and c is a constant. Meanwhile, slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept. On the other hand, given the slope m and a point on the line (x , y), we can express the equation in point-slope form, (y - y1) = m(x - x1).
Using the slope-intercept form, plug in the values of the slope and the point to set up the equation.
y = mx + b
where m = 2/3 and y-intercept, b = 5
y = 2/3 x + 5
To write the equation in standard form, arrange the variable(s) in one side and the constant(s) in the other.
y = 2/3 x + 5
2/3 x - y = -5
Multiply both sides by 3 to have integer coefficients.
3(2/3 x - y) = -5(3)
2x - 3y = -15
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Which of the following is a like radical to 3 √6x²?
Answer:
Answer: Option 3
Step-by-step explanation:
like radicals are radicals that have the same root number and the same 'radicand' (number or expression under the square root)
On a construction crane, the amount of force needed to move objects is directly proportional to the weight of the objects. If 4 Newtons of force is needed to move an object that is 1200 pounds, how much force would be needed to move an object that is 900 pounds?
Based on the fact that the force needed to move object is directly proportional to the weight of the objects, the force needed to move and object that is 900 pounds is 3 newtons of force.
How much force is needed?When things are directly proportional, it means that they increase by a given amount together and also decrease by the same amount.
If 4 Newtons are needed for 1,200 pounds, the newtons needed for 1 pound is:
= 4 / 1,200
= 1/300 newtons
If there are 900 pounds to be moved, the newtons needed are:
= 1/300 x 900
= 3 newtons of force
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Make a conjecture about the sum of the measures of the interior angles of a triangle.
The Conjecture is : "the sum of the measures of the interior angles of a triangle is 180° ".
What are interior angles?The interior angle of any triangle is defined as the angle which is inside the triangle. In the other words if the triangle has the point within the angle it is in the interior of the angle. A triangle has three internal angles. The interior angles are always less than 180.
Triangle Angle-Sum TheoremAccording to triangle Angle Sum theorem, the measurement of the sum of all interior angles of a triangle is always equals to 180°. That means, For a given triangle say ΔABC if ∠A, ∠B and ∠C are the interior angles then their sum i.e. ∠A + ∠B + ∠C = 180°.
Thus according to this we can make the conjecture about the sum of measures of the interior angles of a triangle.
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A bolt of fabric is a large rectangular strip of fabric. Starr-Lyn designs her own fabric. The design is then produced and placed on a bolt that is 81.5 meters (m) long and 1.32 m wide. Part A: Determine the area in Square meters of a bolt of fabric with Starr- Lyn's design.
The area of the rectangle according to the given length and width is 107.58m².
What do we mean by 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. 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 formula of the area of a rectangle: l × w
Now, substitute the values in the formula:
l × w81.5 × 1.32107.58m²Therefore, the area of the rectangle is 107.58m².
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The sum of four consecutive numbers is thirty. Enter the value of the largest number.
ok so the answer is
i might be wrong but
6+7+8+9 = 30
so 9
I really need help with how to do this . It’s a little bit confusing . Thank you
Answer:
just fix the cilcle more it have it looing for the answer
Step-by-step explanation:
that all i got i wish i can help u more
Convert -5/8 into a decimal
Answer:
-0.625
Step-by-step explanation:
A fraction is the numerator (top) divided by the denominator (bottom). In this case it is -5 divided by 8. Put that into a calculator and you will get -0.625.
9 is 10% of what number
Answer:
90
Step-by-step explanation:
You can find the answer by dividing 9 by .10
9 / .10 = 90
To check your answer, you can multiply 90 by .10
90 x .10 = 9
4 is subtracted from the product of 5 and a number.
Answer:
5x-4
Step-by-step explanation:
Product of a number, x , and 5 = 5x
subtract 4 5x -4
He made that poor piano moan with melody.
O Blues!
Swaying to and fro on his rickety stool
He played that sad raggy tune like a musical fool.
Sweet Blues!
Coming from a black man's soul.
O Blues!
In a deep song voice with a melancholy tone
I heard that Negro sing, that old piano moan—
"Ain't got nobody in all this world,
Ain't got nobody but ma self.
I’s gwine to quit ma frownin'
And put ma troubles on the shelf."
What is the effect of repeating the phrase “piano moan” in the poem?
It sets a sad, mournful tone.
It adds a cheerful, melodic chord.
It adds an open, musical sound.
It sets an angry, discordant tone.
Mark this and return
The effect of repeating the phrase “piano moan” in the poem is A. It sets a sad, mournful tone.
What is tone?It should be noted that in literature, the feeling and emotions of the author is illustrated in the tone.
In this case, the repetition of the words were I
important to show the emotions of the author.
Therefore, the effect of repeating the phrase “piano moan” in the poem is that it sets a sad, mournful tone.
In conclusion, the correct option is A.
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Please help me with this!!!!
Each sequence has eight terms. Evaluate each related series. 1/2, 3/2, 5/2, . . . . . . , 15/2
The result of the evaluation of the series described by 1/2, 3/2, 5/2, . . . . . . . , 15/2 is:
∑ = 28
What is a series?A series is the summation of a set of numbers or sequences.
What is sigma notation?The sigma notation is a mathematical operation used to determine the final value of the sum of "n" terms consecutively, when dealing only with numbers without variables this is known as an arithmetic series.
The equation for this type of problem is:
∑ = n(a1 + an)/2
n : number of termsa1 : first terman : last termOur values are:
1/2, 3/2, 5/2, . . . . . . , 15/2
a1 =1/2an = 15/2n = 7∑ = 7(1/2 + 15/2)/2
∑ = 7(8)/2
∑ = 28
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Please help with problem 25, part a and b Algebra 1, In the attachment.
The equation to represent the number of people that can attend the event will be 18500 +/- 1200.
How to calculate the value?Based on the information, equation to represent the number of people that can attend the event will be 18500 +/- 1200.
The maximum number will be:
= 18500 + 1200
= 19700
The minimum number will be:
= 18500 - 1200
= 17300
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The scale on a map is stated as
1: 100 000
On the map, Jennifer estimates that the distance to her destination is 8 cm.
If she is correct in her estimate, how many kilometres is it to her destination?
The required estimate of the destination on the map is 800,000 kilometers.
Given that,
The scale on a map is stated as 1: 100 000 on the map, Jennifer estimates that the distance to her destination is 8 cm. If she is correct in her estimate, how many kilometers is it to her destination is to be determined.
The scale factor is defined as the ratio of modified change in length to the original length.
Here,
1 cm = 100, 000 km
Multiply both sides by 8
8cm = 800,000 kilometers.
Thus, the required estimate of the destination on the map is 800,000 kilometers.
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How can translating written words into a numerical expression be helpful?
express the ratio 2:6 in 1:n
Answer:
n=3
Step-by-step explanation:
2:6=1:3
divide by 2 on both the 2 and the six and 2/2=1 and 6/2=3 so n=3
Answer:
1:3
Step-by-step explanation:
So, what you need to do is figure out the common factor of 2 and 6
which then the answer comes out to 3, so your answer would be 1:3 ratio.
Brainliest thx
A) x^8 • x^6 = x^p, where is p=
B) (x^8)^6 = x^r, where is r
Answer: p=14, r=48
Step-by-step explanation:
x^8 • x^6 = x^p
x^(8+6) = x^p
8+6=p
p=14
(x^8)^6 = x^r
x^(8*6)=x^r
8*6=r
r=48
Determine the values of x in the equation x2 = 49.
whoever gets it right gets a crown pls help
Answer:
49/2 or 24 1/2
Step-by-step explanation:
Divide both sides by 2 to get x by itself.
Answer:
x = 7
Step-by-step explanation:
➟ x² = 49
in order to find the value of x will have to take square root of both side
➟ [tex] \sf \sqrt{x} = \sqrt{49} [/tex]
Calculate
➟ [tex] \sf \: x = 7[/tex]
For a ride on a rental scooter , ahmad paid $3 fee to start the scooter plus 11 cents per minute of the ride. The total bill for Ahmad’s ride was $20.49. For how many minutes did ahmad ride the scooter
Answer:
159 minutes
Step-by-step explanation:
y = .11x + 3
$3 initial fee to start the scooter
$0.11 per minute
y = the total bill price of the scooter ride
x = the total minutes of the ride
plug in what we know : $20.49 for the whole ride
20.49 = 0.11x + 3
SOLVE !! 20.49 - 3 = 0.11x
17.49 = 0.11x
17.49 / 0.11 = x
x = 159 minutes
check answer if you want
20.49 = 0.11 (159) + 3
20.49 = 17.49 + 3
20.49 = 20.49
express 985 cm cube as a percentage of 1 litre
Answer:
98.5%
Step-by-step explanation:
1000 cubic centimeters = 1 litre
(3 decimal spaces to the left)
985 cubic centimeters = .985 liters (almost 1 litre)
.985 = 98.5% (2 decimal spaces to the right)
I need this answered please
In the formula V= (1/3)πr²h , which expression is equal to h ? (A) V/3πr²(B) V - - -(1/3)πr² (C) 3V/πr² (D) 3Vπ/r²
In the formula V = (1/3)πr²h , (A)V/3πr² is the expression equal to h.
How to solve an equation?To solve linear equations, utilize the steps that are provided below.
Remove parentheses from each side of the equation and combine similar terms to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The common denominator can be multiplied by each side of the equation to eliminate fractions.Lets take an example of solve z for 7z – (3z – 4) = 12
Here is no multiplication or division, so this will be easy to solve
⇒ 7z – (3z – 4) = 12
⇒ 7z – 3z + 4 = 12
⇒ 4z = 12 – 4
⇒ 4z = 8
⇒ z = 8/4
⇒ z = 2
See, that was so simple, using the mentioned methods, every linear equation can be solved easily
Here given that,
V= (1/3)πr²h
V/3πr² = (1/3)πr²h/3πr² (divided both sided with 3πr²)
V/3πr² = h or h = V/3πr²
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4th term 19 and 7th term is 7 of A5
Find d a1 an a11
Answer: a₁=31 a₁₁=-9
Step-by-step explanation:
[tex]\displaystyle\\\left \{ {{a_4=19} \atop {a_7=7}} \right. \\\\a_n=a_1+(n-1)d\\\\\left \{ {{a_1+(4-1)d=19} \atop {a_1+(7-1)d=7}} \right. \\\\\left \{ {{a_1+3d=19\ \ \ \ (1)} \atop {a_1+6d=7\ \ \ \ \ (2)}} \right.[/tex]
Subtract equation (2) from equation (1):
[tex]3d=-12[/tex]
Divide both parts of the equation by 3:
[tex]d=-4[/tex]
Thus,
[tex]a_1+(3)(-4)=19\\a_1-12=19\\a_1-12+12=19+12\\a_1=31\\a_{11}=a_1+(11-1)d\\a_{11}=31+(10)(-4)\\a_{11}=31-40\\a_{11}=-9[/tex]
Answer:
a = 43
d = -6
[tex]\sf a_{11} = -17[/tex]
Step-by-step explanation:
Arithmetic sequence:
Use the formula to find the nth term:
[tex]\sf \boxed{\bf a_n= a+(n-1)d}[/tex]
Here, a is the first term, n is the number of terms and d is the common difference.
[tex]\sf a_4 = 19\\\\a+(4-1)*d = 19\\\\a + 3d = 19 -------------------(i)[/tex]
[tex]\sf a_7 = 7\\\\a + 6d = 7 ------------------(ii)\\[/tex]
Subtract equation (i) from (ii) and thus 'a' will be eliminated and we can find the value of 'd'.
(ii) a + 6d = 7
(i) a + 4d = 19
- - = -
2d = -12
d = -12/2
[tex]\sf \boxed{\bf d = -6}[/tex]
Now, plugin d = -6 in any of the two equations. We are substituting the 'd' value in equation (i)
a + 4*(-6) = 19
a - 24 = 19
a = 19 + 24
[tex]\sf \boxed{\bf a = 43}[/tex]
[tex]\sf a_{11} = a + 10d[/tex]
= 43 + 10*(-6)
= 43 - 60
[tex]\sf \boxed{\bf a_{11} = -17 }[/tex]
Corey wrote an equation in factored form , quadratic function . Kimberly wrote the equation y = (x + 8)(x - 2); y=x^ 2 +6x-16, to represent a and Joshua wrote the equation y = (x + 3) ^ 2 - 25 A. Reason Do all three equations represent the same function ? If not, whose is different ? Explain algebraically .
All the three equations represent the same function as they equal x² + 6x - 16.
How to illustrate the equation?It should be noted that the function that Corey wrote is:
y = (x + 8)(x - 2)
y = x² - 2x + 8x - 16
y = x² + 6x - 16
Kimberly wrote y = x² + 6x - 16
Joshua wrote (x + 3)² - 25
= (x + 3)(x + 3) - 25
= x² + 3x + 3x + 9 - 25
= x² + 6x - 16
In conclusion, the three equations represent the same function as they equal x² + 6x - 16.
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i need help solving this
Answer:
Step-by-step explanat
36=10x-4
40=10x
10x=40
x=40/10
x=4
can anyone help much appreciated (30 points) image below btw
The sum of the polynomial is equal to -10x^3 + 2x^2 + 7x + 8.
what are polynomials?In mathematics, polynomials refers to an algebraic equation which have more than two terms, the terms are usually same variable but the exponents tends to increase the number of terms.
An algebraic equation with the highest power as two is generally called parabolic equation/ When the power goes above two they are called polynomial.
How to add polynomialsaddition of polynomials is achieved by adding like terms together. the like terms as in the question include similar alphabet and same exponents
( -4x^3 + 10x^2 + 6 ) - ( 6x^3 + 8x^2 - 7x - 2 )
terms with x^3: -4 - 6 = -10
terms with x^2: 10 - 8 = 2
terms with x: 0 - ( - 7 ) = 0 + 7 = 7
constant terms : 6 - ( - 2 ) = 6 + 2 = 8
constant terms refers to terms that does not have x
writing the equation together with their terms gives -10x^3 + 2x^2 + 7x + 8. Hence we can conclude that addition of polynomials involves addition performed considering the terms by adding like term.
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Choose an equivalent expression for two thirds to the fourth power times two thirds raised to the third power comma all raised to the second power.
four ninths raised to the fourteenth power
four ninths raised to the twenty fourth power
two thirds raised to the fourteenth power
two thirds raised to the twenty fourth power
The equivalent expression for the given expression is [tex](\frac{2}{3} )^{14}[/tex]. Therefore, option C is the correct answer.
The given expression is [tex]((\frac{2}{3} )^{4}\times(\frac{2}{3} )^{3})^{2}[/tex].
We need to find the equivalent expression for the given expression.
What is an equivalent expression?Equivalent expressions are expressions that work the same even when they seem different. When we enter the same value for the variable, two algebraic expressions that are equivalent have the same value.
Now, [tex]((\frac{2}{3} )^{4}\times(\frac{2}{3} )^{3})^{2}[/tex] using [tex]a^{m} \times a^{n}=a^{m+n}[/tex].
We get, [tex]((\frac{2}{3} )^{4+3})^{2}=((\frac{2}{3} )^{7})^{2}[/tex]
Using the exponents rule [tex](a^{m} )^{n}=a^{m\times n}[/tex]
=[tex]=(\frac{2}{3} )^{7\times 2}=(\frac{2}{3} )^{14}[/tex]
The equivalent expression for the given expression is [tex](\frac{2}{3} )^{14}[/tex]. Therefore, option C is the correct answer.
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A builder makes staircases where each step is
28
cm
28cm28, start text, c, m, end text long and rises
18
cm
18cm18, start text, c, m, end text so people don't trip. Every staircase has a stringer — a diagonal support connecting all of the steps.
the length of the stringer for the staircase of 6 steps is 199.74 cm.
The sum of the squares of the two sides (a and b) equals to the square of the hypotenuse (c). In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.
According to the question,
Each step is 28 cm long that is the length of one step of the staircase. And 18 cm high which is the height of the step at 90-degree angle thus forming a right-angle triangle and the stringer acts as a hypotenuse. Therefore, we can use Pythagoras theorem to find the length of the stringer of one step.
Length=a=28 inch
Breadth=b=18 inch
Applying the Pythagoras theorem, we get
28²+18²= (length of the stringer)²
28²+18²= = 1108
Now, √1108 = 33.29
to find the length of 6 steps multiply 33.29 with 6
33.29*6 = 199.74
Therefore, the length of the stringer for the staircase of 6 steps is 199.74 cm.
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Answer:
199.7 cm
Step-by-step explanation:
Sonya has two rectangular gardens. The larger garden is four times as wide and five times as long as the smaller one. If the area of the smaller one is x, what is the difference in size between the two gardens?
A. 20x
B. 19x
C. 9x
D. 1x
E. None of the above
The required difference in the size between the two garden is 20x. Option A is correct.
Given that,
Sonya has two rectangular gardens. The larger garden is four times as wide and five times as long as the smaller one. If the area of the smaller one is x, what is the difference in size between the two gardens is to be determined.
The rectangle is 4 sided geometric shape whose opposites sides are equal in length and all angles are about 90°.
Here,
length and width of the small rectangular garden is l and b
Let the are of the small garden be x = lw
Now according to the question
Length of the larger garden = 5l
And the width of the larger garden = 4w
Now the area of the larger garden = 5l * 4w
= 20lw
= 20x
Thus, the required difference in the size between the two gardens is 20x. Option A is correct.
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