6 - 5x
the number isn't specific so u'll need to use a variable for it
u're multiplying that number by 5 so u'll write it as 5x
and ur subtracting it from 6
Tom bought a comic book for $5 at a discount of 20%. How much did the comic book
cost originally?
Answer:
0.4cents
Step-by-step explanation:
The graph of this line shows the total amount Katrina earns for working a corresponding number of hours. How much did Katrina earn for working 7 hours?
The correct statement is that for each hour, the earnings go up by $7. Option A
What is straight line graph?If we have the equation of the line, we can substitute the value of 7 for the number of hours into the equation and solve for the earnings. The equation would typically be in the form of "earnings = slope * hours + y-intercept," where the slope represents the rate of earnings per hour and the y-intercept represents the earnings when no hours are worked.
We can find the slope of the graph to know as said above;
m = y2 - y1/x2 - x1
m = 14 - 0/2 - 0
m = 7
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Which triangle is similar to △JKH?
1. △MKN
2. △JOG
3. △MQL
4. All triangles are similar to △JKH
Given that Line a is parallel to Line b (Line a ║ Line b), the triangle that is similar to ΔJKH is 1. ΔMKN
What are similar triangles in geometry?Similar triangles are triangles that have congruent corresponding angles, and in which all three corresponding sides are proportional.
The given parameter is Line a is parallel to Line b, which gives: a║b
Two triangles are similar if they satisfy the following conditions:
Two angles in one triangle are equal to two angles in the other triangle.Each of the three corresponding sides of the two triangles are proportional.Two sides of one triangle are proportional to the corresponding two sides on the other triangle, and the included angle between the specified two sides in both triangles are congruent.According to alternate angles theorem, the angles ∠JHK in ΔJKH is congruent to the ∠KNM in triangle ΔMKN
Similarly, the angle ∠HJK in ΔJKH is congruent to the ∠KMN in ΔMKN
Therefore, ΔJKH is similar to ΔMKN by Angle-Angle, AA similarity postulate.
The correct option for the triangle similar to ΔJKH is option 1. ΔMKN
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Genesis mows lawns during the weekend in order
to earn extra money. She can mow 1/3 of a lawn
in 1/6 of an hour. How many lawns can Genesis
mow per hour?
Answer:
two lawns.....
...........
Genesis can mow 2 lawns per hour.
What is ratio?Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Genesis mows in 1/6 hour =1/3 lawns
To find, mow per hour,
∴ in 1/6 hours =1/3 lawn,
⇒1 hour = 6×1/3 lawn
⇒1 hour = 2 lawns.
So, In 1 hour, Genesis can mow 2 lawns.
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Hi can someone who is great at math please help me with these math questions. I'm struggling with them!!
The value of x will be 18.67 for the given data of the triangle.
We have,
Thale's theorem:
When a line parallel to one side of a triangle intersects the other two sides in distinct points, the other two sides are divided in the same ratio.
Given that the sides of the triangle are divided into two parts,
For the left part the parts will be x and x + 7 for the right side the parts will be 16 and 22.
The ratio will be the same according to Thale's theorem. The value of x will be calculated as:-
x / ( x + 7 ) = 16 / 22
22x = 16x + 112
6x = 112
x = 112 / 6
x = 18.67
Therefore, the value of x will be 18.67.
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complete question;
Find the values of x and y. Find value of x.
Pls help grades close today will brainlest
Answer:
\(y = \frac{3}{2} x\)Step-by-step explanation:
according to the question
\(y = \frac{3}{2} x\)
what is the result of adding the system of equations 2x y 43x y 6x 10x y 25x 10
Therefore the result of adding the system of equations 2x + y = 4 ,
6=3x-y is 5x =10
Describe equation:Equations are statements in mathematics containing the equals (=) sign flanked on either side by two algebraic expressions. The relationship between the expressions printed on the left and right sides is shown to be equal in this way. In all mathematical equations, LHS = RHS is used. You can solve equations to find the value of an unknown variable that stands in for an unknown quantity. If a sentence lacks a "equal to" sign, it is not considered an equation. It will be considered to be a phrase.
Here,
Given:
we have to solve the system of equations given. .Each equation is added together to remove the variable Y.
2x + y = 4
+
3x - y = 6
________
=> 5x =10
Therefore the result of adding the system of equations 2x + y = 4 ,
6=3x-y is 5x =10
The value of x :
x =10 / 5 = 2
⇒ x=2
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10 points
Find the product of (x + 5)(x - 5). (1 point)
x² - 10x + 25
x² + 10x + 25
Ox²-25
Ox²+25
Find the product of (2x + 5y)(2x - 5y). (2 points)
4x² - 20xy + 25y²
4x²+20xy + 25y²
4x²+25y²
4x²-25y²
Answer:
Solution in attached photo.
Step-by-step explanation:
SolutionTo expand the brackets, we will use the rainbow expansion method.
please help for 25 points
Using translation concepts, the trigonometric graph is given by:
y = sin(x) + 1 = 1sin(1x) + 1.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The parent function given in this problem is:
y = sin(x).
The dashed line is a shift up one unit of the parent function, hence the definition is:
y = sin(x) + 1 = 1sin(1x) + 1.
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Sam needs to fill a cylindrical container with punch. The container has
a radius of 11 inches and a height of 18 inches. How much punch can
Sam fit into the container?
Volume of the cylinder = 6838.92 cubic inches
We have to given that;
Sam needs to fill a cylindrical container with punch.
And, The container has a radius of 11 inches and a height of 18 inches.
Since, To determine the amount of cat litter the cylinder can hold, we need to calculate the volume of the cylinder.
Volume of a cylinder = πr²h
Where,
r=radius
h= height
Then,
π=22/7 or 3.14 (constant value)
r=11 inches
h=18 inches
Volume of a cylinder is,
= 3.14 × (11)² × 18
= 6838.92 cubic inches
Hence, Volume of the cylinder = 6838.92 cubic inches
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Which equation is equivalent to (1/3)^x=27^x+2?
Find the value of each expression in simplest form. Show all work
Answer:
Step-by-step explanation:
Consider the figures shown to answer Part A and Parts B.
Which figures have a volume greater than 600 cubic inches?
Select all that apply.
A. Cylinder #1
B. Cone #1
C. Cylinder #2
D. Cone #2
E. Sphere
volume of sphere is 4.8 times the volume of cone (1).
A). Options (C) and (E) is correct.
B). 4.8 times
To choose the figure.
What is mensuration?The act of measuring geometry applied to the computation of lengths, areas, or volumes from given dimensions or angles.
Given that:
Part A
Volume of cylinder (1) = πr²h
= π*(6)²*(5)
= 565.5 cubic inches
Volume of cone (1)=π*r²*h/3
=π*6²*5/3
= 188.5 cubic inches
Volume of sphere =4π*r²*r/3
=4π*6²*6/3
= 904.8 cubic inches
Figure having volume greater than 600 cubic inches are cylinder (2) and sphere.
Part (B)
Volume of sphere/Volume of cone (1)=904.8/188.5 =4.8
Therefore, volume of sphere is 4.8 times the volume of cone (1).
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Skylar went shopping for a new video game. To find the total plus tax, she multiplied the price of the video game by 1.0775. What percent tax did she pay?
Answer:A topic sentence is used to bring
to a paragraph.
Step-by-step explanation:
A topic sentence is used to bring
to a paragraph.
2X+1/4y=1 solve for Y
Answer:
y=-8x+4
Step-by-step explanation:
Isolate the Y variable by balencing the equation! Khan acadamy has great videos on how to do this!
Answer:
Y=4-8x
OR if you want it more specific (slope intercept form)
y= -8x+4
Same thing
Step-by-step explanation:
SO when asked for y you just have to isolate the y
SO we can do that by subtracting 2x on both sides
1/4y=1-2x
Now to get y isloated we can just divide 1/4 on each sides
y=4-8x
THere you go or if you want it in slope intercept form just reverse the signs when switching the positions becuase y=mx+b
y= -8+4
a triangular field has boundaries of lengths 170m,195m and 210m,find the size of the largest interior angle of the field
The size of the largest interior angle of the field is 69.86°
What is cosine law?The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.
Given that, a triangular field has boundaries of lengths 170m, 195m and 210m, we need to find the size of the largest interior angle of the field,
We know that, angle opposite to the largest side is largest,
Therefore,
The largest angle is opposite is 210 m side, (say c)
Using the cosine rule,
210² = 170²+195²-2(170)(195)cosC
CosC = 170²+195²-210² / 2(170)(195)
CosC = 22825 / 66300
CosC = 0.344268477
C = 69.86°
Hence, the size of the largest interior angle of the field is 69.86°
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For the equation y = -2x(x-3)^2 state the x-intercept
Answer:
x = 0 , x = 3
Step-by-step explanation:
y = - 2x(x - 3)²
to find the x- intercepts, where the graph crosses the x- axis, let y = 0
- 2x(x - 3)² = 0 ← product of factors on left
equate each factor to zero and solve for x
- 2x = 0 ⇒ x = 0
(x - 3)² = 0
x - 3 = 0
x = 3 with multiplicity 2
the x- intercepts are x = 0 and x = 3
It takes Marty 1 1/4 hours to get ready for school. If 1/5 of that time is used to shower and 1/3 of that time is used to eat breakfast, how long does it take him to shower and eat breakfast?
Answer: 40 minutes
Step-by-step explanation:
First, break this down into minutes. 1 1/4 hours is 75 minutes. 75 divided by 5 is 15. he spends 15 minutes taking a shower. 75 divided by 3 is 25. he spends 25 minutes eating breakfast. 25 plus 15 is 40. he spends 40 minutes to shower and eat breakfast.
evaluate the function at the given value of the independent variable. simplify the results. (if an answer is undefined, enter undefined.)f(x) = 1/√(x-4)f(x) - f(5) / x - 5
The function at the given value of the independent variable, f(x) = 1/√(x-4)f(x) - f(5) / x - 5 is (x-5).
Each element of X is given precisely one element of Y by the function from a set X to a set Y. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealised relationship between two changing quantities.
We have given function as ,
f(x) = 1/√(x-4)
We have to find f(x) - f(5)/x-5
f(x) = f(5)/x-5 = 1/√(5-4)/(x-5)
= 1/√(5-4)/(x-5)
= (x-5)/√(5-4)
= (x-5)
Therefore, The function at the given value of the independent variable, f(x) = 1/√(x-4)f(x) - f(5) / x - 5 is (x-5).
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A number that is multiplied by a variable is called?
Answer:
A number that is multiplied by a variable is called a coefficient.
7( + 3) − 1 = 5( + 4) + 2
Answer: 20 22
Step-by-step explanation:
Hey there! ☺
\(Answer:\boxed{\text{FALSE}}\)
\(Explanation:\)
7(+3) - 1 = 5(+4) + 2
7(3) - 1 = 20 Multiply 7 by 3 and subtract 1
(5)(4) + 2 = 22 Multiply 5 by 4 and add 2
20 = 22 is the answer.
20 = 22 is FALSE.
Hope this helps!
Mica bought a pair of football cleats using a 20% off coupon. The coupon saved Mica $57. What was the original price of the football cleats
What are the new coordinates if the figure were rotated 90 degrees counterclockwise
Answer:
third option
Step-by-step explanation:
under a counterclockwise rotation of 90° about the origin
a point (x, y ) → (y, - x )
Then
A (- 1, - 2 ) → (- 2, - (- 1) ) → (- 2, 1 )
B (2, - 2 ) → (- 2, - 2 )
C (1, - 4 ) → (- 4, - 1 )
The new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)
How to determine the new coordinates rotating by 90 degrees counterclockwiseFrom the question, we have the following parameters that can be used in our computation:
The figure,
Where, we have
A = (-1, -2)
B = (2, -2)
C = (1, -4)
The rule of 90 degrees counterclockwise is
(x, y) = (-y, x)
Using the above as a guide, we have the following:
A = (2, -1)
B = (2, 2)
C = (4, 1)
Hence, the new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)
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Find the area of the shaded portion in the equilateral triangle with sides 6. Show all work for full credit.
(Hint: Assume that the central point of each arc is its corresponding vertex.)
The area of the shaded portion in the equilateral triangle with sides 6 is 9√3 - 36π.
To find the area of the shaded portion in the equilateral triangle, we need to determine the area of the three arcs and subtract it from the area of the equilateral triangle.
First, let's find the area of one arc. Each arc has a radius equal to the length of the side of the equilateral triangle, which is 6. The formula for the area of a sector is A = (θ/360)πr², where θ is the central angle in degrees.
In an equilateral triangle, each interior angle measures 60 degrees, so the central angle of the arc is 120 degrees (360 degrees divided by 3). Plugging these values into the formula, we get A_arc = (120/360)π(6)² = (1/3)π(6)² = 12π.
Since there are three identical arcs, the total area of the arcs is 3 times the area of one arc, which is 3(12π) = 36π.
Now, let's find the area of the equilateral triangle. The formula for the area of an equilateral triangle is A_triangle = (√3/4)s², where s is the length of a side.
Plugging in the value of the side length, we have A_triangle = (√3/4)(6)² = (√3/4)(36) = 9√3.
Finally, we subtract the area of the arcs from the area of the equilateral triangle to find the shaded portion's area: A_shaded = A_triangle - A_arc = 9√3 - 36π.
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Write a multiplication equation to show an equivalent fraction of 15 using fifteenths.
Explain how the two fractions are equivalent.
A multiplication equation to show an equivalent fraction of 15 using fifteenths would gives 10/75
What is a fraction?A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.
We have to write an equivalent fraction of 15 using fifteenths.
2/15
So let multiply by 5 .
2 / 15 x 5/ 5 = 10/75
Thus, 10/75 is equivalent expression.
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How many significant figures are in the number
43.6? 43.6 has [?] significant figures.
Answer:
43.6 has 3 significant figures.
Change 3 minutes 12 seconds to seconds?
Answer:
192
Step-by-step explanation:
Answer:
192 BECAUSE 3 MIN = 180 SECONDS + 12 SECONDS = 192 SECONDS
Step-by-step explanation:
-2(4g - 3) = 30 what is the answer
Answer:
g=-3
Step-by-step explanation:
-8g+6=30
-6
-8g=24/-8
Answer:
g = -3
Step-by-step explanation:
Will mark Brainlest help me find the value of x or theta
Answer:
x=5
Step-by-step explanation:
triangle ABC is an is0sceles triangle because according to the figur it's two sides are equal.
angle B = angle (because base angles of an isosceles triangle are equal)
so let angle A also be theta
now lets find the value of theta
angle A + angle B + angle C =10 degree (sum of interior angles of a triangle)
theta + theta +90 =180
2 theta =180-90
theta =90/2
theta =45 degree
therefore the value of theta is 45 degree.
so angle A =45 degree and angle B =45 degree
to find x
Take angle B as reference angle
using sin rule
sin 45 = opposite/hypotenuse
\(\frac{1}{\sqrt{2} } =\frac{x}{5\sqrt{2} }\)
do cross multiplication
\(x * \sqrt{2 } = 5\sqrt{2} *1\)
\(x = \frac{5\sqrt{2} }{\sqrt{2} }\) (root 2 and root 2 gets cancel)
\(x=5\)
what is the lenth of jk
Answer:
If they are only units of one then it should just be 5 and if they are bigger units than just multiply so 5
Step-by-step explanation:
I hope this helps u out