Answer:
Step-by-step explanation:
William bought 6 shirts for $119.70. How much did one shirt cost him?
Answer:
19.95
Step-by-step explanation:
i just divvied 119.70 by 19.95
Question 11 Objective: Solve for unknown side lengths of right triangles using trigonometric ratios. A right triangle has one angle that measure 27. The adjacent leg measures 29.6 cm and the hypotenuse measures 40 cm. What is the approximate area of the triangle? Round to the nearest tenth. Area of a triangle = 1/2bh а
Answer:
A≈ 268.76 sq cm.
Step-by-step explanation:
sine 27 = opposite side/hypotenuse
sine 27 = x/40
sin 27(40) = x
18.15961999 =x
18.16 = x
A = 1/2(29.6)(18.1596199)
A = 268.7623759
A≈ 268.76 sq cm.
The sum of the first 10 terms of a linear sequence is 5 and the sumof the next 10 terms is 215. Find the sequence.
Answer:
The first term of the sequence is -8.95 with a common difference of 2.1.
The sequence is:
-8.95, -6.85, -4.75, -2.65...
Step-by-step explanation:
We are given that the sum of the first ten terms of a linear sequence is 5, and the sum of the next ten terms is 215.
And we want to find the sequence.
Recall that the sum of an A.P. is given by:
S = k / 2 ( a + xk)
Where a is the first term, k is the number of terms, and x_k is the last term.
We can represent our term values with the direct formula:
Xn = a + d (n-1)
Where the first term, x₁ = a.
The sum of the first ten terms is 5. Hence, S = 5, k = 10, a = x₁ and x_k = x₁₀:
(5) = 10/2 (a+xk)
5 = 5(a+(a+9d))
2a + 9d = 1
The sum of the next ten terms (that is, from x₁₁ to x₂₀) is 215. Hence, S = 215 when k = 10, a = x₁₁, and x_k = x₂₀:
(215) = (10)/2 (a + xk)
215 = 5((a+d(11-1))+(a+d(20-1)))
2a + 29d = 43
This yields a system of equations:
[tex]\left \{ {{2a+9d=1} \atop {2a+29d=43}} \right.[/tex]
Solve:
(2a + 9d) + (-2a - 29d) = (1) + (-43)
-20d = -42
d = 2.1
Consequently:
a = 1/2(1-9d)
= 1/2(1-9(2.1))
= -8.95
In conclusion, the first term of the sequence is -8.95 with a common difference of 2.1.
The sequence is:
-8.95, -6.85, -4.75, -2.65...
(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] = 14
Answer:
This Inequality has no solution making it false.
Step-by-step explanation:
(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] = 14
5,069=322
False
Hope this helps :)
Answer:
Step-by-step explanation:
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
8x + 6y = -54
Answer:
y = - 4/3x - 9
Step-by-step explanation:
Answer:
[tex]y = -\frac{4}{3}x - 9[/tex]
Step-by-step explanation:
The standard form of linear equation is: Ax + By = C, where A, B, and C are integers; A and B ≠ 0, and A is a non-negative integer.
Given the linear equation in standard form, 8x + 6y = -54, we can transform this equation into its slope-intercept form, y = mx + b.
First, subtract 8x from both sides:
8x + 6y = - 54
8x - 8x + 6y = - 8x - 54
6y = -8x - 54
Divide both sides by 6 to isolate y:
[tex]\frac{6y}{6} = \frac{-8x - 54}{6}[/tex]
[tex]y = -\frac{4}{3}x - 9[/tex] ⇒ This is the slope-intercept form where the slope, m = [tex]- \frac{4}{3}[/tex], and the y-intercept, b = -9.
Which answer choice is NOT equivalent to 4(x + 3)
a. 4x + 12
b. x + 3x + (4 + 3)
c. x + x + x + x +12
d. 2x + 2x + (4 x 3)
Answer: b
Step-by-step explanation:
Combine the terms after removing the parentheses.
Reference equation: 4x + 12
a. 4x + 12
b. 4X +7
c. 4x + 12
d. 4x + 12
5.
Identify the vertex of the parabola.
A. (6, 3)
B. (3, 0)
C. (4, -1)
D. (5, 0)
Answer:
B. (3, 0)
Step-by-step explanation:
It's B. (3,0) because it's on the line of 3 and 0 aka x axis
a sketch of y = x^2 + cx + d is shown the turning point is (2,3) work out the values of c and d
Answer:
c= - 4, d = 7Step-by-step explanation:
Given function:
y = x² + cx + dThe vertex is (2, 3)
We know the vertex form:
y = (x - h)² + k, where (h, k) is vertexSubstitute coordinates to get:
y = (x - 2)² + 3 = x² - 4x + 4 + 3 = x² - 4x + 7Compare with given to find out:
c = - 4, d = 7dividing 0.68÷0.6936
Answer:
0.9804
Step-by-step explanation:
0.68 ÷ 0.6936 = 0.98039215686275
Can somebody please help me?!! I will give BRAINLIEST!!
Answer:
Step-by-step explanation:
Mark the two points (-1,7) and (1,-1) on the graph. Then draw a straight line between them. To determine the equation that goes through these two points, we can use the two given points to find the slope of the line. The standard form of a straight line equation is
y = mx + b,
where m is the slope and y is the y-intercept (the value of y when x = 0).
Slope is also known as the "Rise"/"Run" - the change in y divided by the change in x. We can use the two points to calculate this:
Rise (-1-(7) = -8 Run = (1 - (-1) = 2
The slope is therefore (-8/2) or -4.
y = -4x + b
We can find b by entering either of the two points in y = -4x + b and solve for b. I'll use (1,-1) since I have my 1's multiplication table memorized
y = -4x + b
-1 = -4(1) + b
b = 3
The straight line equation that connects the two points is
y = -4x + 3
You can graph this equation (e.g., on DESMOS) to see how it intersects the points. [Attached]
The coordinates of the y intercept are (0,3).
The coordinate of the y-intercept of the line is (0, 3)
Equation of a line
The equation of a line in slope-intercept form is expressed as y = mx + b.
where:
m is the slope the lineb is the y-interceptGiven the coordinate points (-1, 7) and (1, -1).
Get the slope
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-1-7}{1-(-1)}\\ m=\frac{-8}{1+1}\\ m=\frac{-8}{2}\\ m=-4[/tex]
Get the y-intercept:
Recall that y = mx + b
Using the coordinate point (1, -1) and m = -4
-1 = -4(1) + b
-1 = -4 + b
b = -1 + 4
b = 3
The equation of the line is y = -4x + 3
Get the y-intercept:The y-intercept occurs at the point where x = 0
y = -4(0) + 3
y = 0 + 3
y = 3
Hence the coordinate of the y-intercept of the line is (0, 3)
Learn more on y-intercept here: https://brainly.com/question/25722412
Find the 8th term of the G.P 9,3,1,
Answer:
a=9 , d=6 n=8
a+(n-1)d = an
9+(8-1)6 = an
9+7×6 = an
9+42 = an
51 = an
The rectangle PQRS is dilated by a scale factor of 34 first, and then reflected across the y-axis to form rectangle P'Q'R'S'.
What are the coordinates of the transformed rectangle P'Q'R'S'?
A.
P'(−1.25,−1.25), Q'(−5.25,−1.25), R'(−5.25,−3.25), S'(−1.25,−3.25)
B.
P'(−1.5,1.5), Q'(−4.5,1.5), R'(−4.5,3), S'(1.5,−3)
C.
P'(1.5,−1.5), Q'(4.5,−1.5), R'(4.5,−3), S'(1.5,−3)
D.
P'(−1.5,−1.5), Q'(−4.5,−1.5), R'(−4.5,−3), S'(−1.5,−3)
Answer:
The answer should be A.
Step-by-step explanation:
I'm strictly only going off the coordinates you gave relying on the information displayed by the question. Also, the coordinates are backwards, anyways if -5.25 portrays Q and R, it should be the correct answer. (This is simply an estimate, not a guaranteed answer because there is no graph presented.)
Does anyone want to play prodigy with me? if so meet at Town Square in Lamplight Town in Sapphire World. I'm Serenity Nearshadow in that game. PLEASE!
Answer:
why did you need to play with you are you board of playing then stop playing game
The Radius of a circle is 5 cm. Find the area of the circle, correct to one decimal place.
Answer:
78.5
Step-by-step explanation:
[tex]r^{2}[/tex]x3.14 (pie)
so then substitute.
5x5=25
25x3.14=78.5
find the slope and y intercept.
Answer:
slope: 2/3
y intercept: -1
Step-by-step explanation:
slope: rise/run
A manufacturer produces cell phone she estimates that by selling them for x dollars she will be able to sell them for 285 minus 2X each week determine what the maximum revenue will be round your answer to two decimal places
Answer:
38.30
Step-by-step explanation:
because 230 -6x=0
If you add the lengths of the focal radii of an ellipse, what other value will you produce?
Answer: the length of the major axis
Step-by-step found it on Quizlet and got it right on the quiz
If we add the lengths of focal radii of an ellipse the value of length of major axis will produce.
What is the major axis of an ellipse?
The major axis of an ellipse is the line segment connecting the two vertices.
Since, the sum of focal distances of a point on ellipse is constant.
And it is equals to the length of major axis.
Hence, if we add the lengths of focal radii of an ellipse the value of length of major axis will produce.
Learn more about major axis of an ellipse here:
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PLEASE HELP!! I WILL MARK BRAINLIST IF RIGHT!! Using the graph above, how many hours would it take to drive 262.5 miles? (Picture below)
please help me answer this question!
Answer:
equation: y = -5/4xslope: -5/4point: (0, 0)Step-by-step explanation:
The slope is found using the formula ...
m = (y2 -y1)/(x2 -x1)
m = (0 -5)/(0 -(-4)) = -5/4
slope = -5/4
The second point can be used to keep it simple.
point: (0, 0)
Point-slope equation:
y -0 = -5/4(x -0)
y = -5/4x . . . . . . . simplified
Please help! take a pic and put a dot with the drawing tools on ur snipping tool/snip and sketch. Please i cant fail these questions!
take a pic of what and where are the questions???
$61.60 for parts and labor rate is $30.00 per hour total cost 136.60 how many hours will the job take? Write an equation and explain how you used it to find the number of hours the job will take.
Answer:
(136.60 - 61.60) / 30 = 2.5 hours
Step-by-step explanation:
First, subtract the cost of parts from the total: 136.60 - 61.60 = 75
Now you have the total labor cost. Divide by the hourly rate: 75 / 30 = 2.5
The slope in the linear equation y=12x+5 is _[blank]_.
Help me please I’m bad at slopes
Write the equation of the line that passes through the points (-8,3) and (0,2). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
[tex]y = \frac{1}{8} x + 2[/tex]
5p + 3 = 15
please make this into a word problem
Answer:
p equals two and four tenths
Step-by-step explanation:
First let's write our equation
five p plus three equals fifteen
Subtract three from both sidesfive p equals twelve
divide both sides by 5
p equals two and four tenths
_______________________________
Word Problem
You bought 5 pears that were worth x dollars, you have an extra 3 dollars, the total of the money you spent and you have is 15 dollars. How much does one pear cost?
help ? yes ? no ? maybe ?
Answer:
They are proportional
Step-by-step explanation:
Proportionality:
They are proportional because the cost is going up by 10 the entire time and the hours rented is going up by 2 the entire time.
Graphing:
Go to the 2 on the x-axis (horizontal line)
Go up to the 20 on the y-axis (vertical line)
The points to graph are:
(2,20)
(4,30)
(6,40)
(8,50)
I put a pic of what your graph should look like below!
Answer:
To plot the graph put the hours along the x axis and the cost on the y axis. Its a positive realationship because when the hours go up the cost goes up to, it isn't proportional because both values don't go up at the same rate.
Step-by-step explanation:
What is the value of x?
Step-by-step explanation:
19x - 4 = 110 ( alternate Exterior angle )
→ 19x = 110 + 4 = 114
→ x = 114/19
→ x = 6
therefore, value of x is 6°.
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
Solve for x.
4/5(x−3/10)=−2 1/4
Enter your answer as a mixed number in simplest form in the box.
Answer:
x = -201/80
Mixed form: x = -2 41/80
Step-by-step explanation:
Value of x = [tex]-2\frac{1}{4}[/tex]
What is algebraic equation?Algebraic equation, statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root.
Examples: (y²x² + 2xy – y)/(x – 1) = 12.
Given, equation
[tex]\frac{4}{5}(x- \frac{3}{10} )[/tex] = [tex]-2\frac{1}{4}[/tex]
⇒4/5[(10x-3)/10] = -9/4
⇒2/5[(10x-3)/5] = -9/4
⇒(20x-6)/25 = -9/4
⇒80x - 24 = -225
⇒80x = -225 + 24
⇒x = -201/80
⇒x = -2.5125
⇒x = [tex]-2\frac{1}{4}[/tex]
Hence, the value of x in simplest mixed number is [tex]-2\frac{1}{4}[/tex]
Learn more about algebraic equation here:
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Please show your graph if you’re in K12, no confusing graphs please. graph the line for y + 1= - 3/5 (x-4)
Answer:
Graph Below:
joe mammamamamamamaamamamma
Answer:
this joke is getting old lol
Step-by-step explanation: