Answer:
$28.80
Step-by-step explanation:
32 x 0.1 = 3.2
32 - 3.2 =28.8
Hope this helps :)
Answer:
$28.8
Step-by-step explanation:
10% of 32 is 3.2
32 - 3.2 = 28.8
Plot the points A(7,1), B(-2, 3), C(1, -7) on the coordinate axes below. State the
coordinates of point D such that A, B, C, and D would form a parallelogram.
(Plotting point D is optional.)
A B
D C
vectors
AB = DC
AB (-2-7 ; 3-1) => AB (-9 ; 2)
DC (1-x : -7-y)
1 - x = -9 => x = 10
-7-y = 2 => y = -9
D(10 ; -9)
Answer:
D = (10, -9)
Step-by-step explanation:
If ABCD is a parallelogram, then AB = DC and BC = AD
Therefore,
[tex]\sf x_A-x_B=x_D-x_C[/tex]
[tex]\sf \implies 7-(-2)=x_D-1[/tex]
[tex]\sf \implies x_D=10[/tex]
[tex]\sf y_A-y_B=y_D-y_C[/tex]
[tex]\sf \implies 1-3=y_D-(-7)[/tex]
[tex]\sf \implies y_D=-9[/tex]
Therefore, D = (10, -9)
marked price an article is 20% above its cost price. it is sold for rs 1100 at 10% profit find its marked price
Hey there!
Marked price (MP) = 1100 + Cost price (CP) ----(1)
If the watch was sold at discount of 20%, profit = Rs. 400
⇒ Selling price = MP - 20% of MP = 0.8MP
Also, Selling price = CP + 400
⇒ CP + 400 = 0.8MP
Substituting from (1),
⇒ CP + 400 = 0.8(1100 + CP)
⇒ CP + 400 = 880 + 0.8CP
⇒ 0.2CP = 480
⇒ CP = Rs. 2400
∴ To earn a profit of 30%, Selling price = 2400 + 30% of 2400 = 2400 + 720 = Rs. 3120
Jim has some socks in two drawers. In one drawer he has 3 red and 6 green socks. In the other drawer he has 2 red and 2 green socks. If jim takes one sock out of each drawer, how probable is it that both will be red?
Answer:
5/6
Step-by-step explanation:
There are 5 steps to solving this problem:
Calculate the number of marbles in each drawerCalculate the fractional number of red marbles in each drawerThe answer is the number of red marbles in both drawers added together.Using these steps, we see that:
9 in the first drawer and 4 in the other drawer 3/9 or 1/3 of the socks in the first drawer are red, and 1/2 of the socks in the second drawer are redAdding 1/3 and 1/2 together equals 5/6Therefore, the answer is 5/6!X + Y-2 (3X-4Y+3) please simplify this
thanks
Answer:
-5x+9y-6
Step-by-step explanation:
Step 1:
Remove bracket,
x+y-6x+8y-6
collect like terms and simplify,
x-6x+y+8y-6= -5x+9y-6
Help assappp
Line L is a line that passes through (-4,5)
and is parallel to the line described by
y-7=-2(x+1). Write the equation
of line l in point-slope form
Answer:
y-5=-2(x+4)
Step-by-step explanation: All you need to do is remember the point-slope form equation y-y1=m(x-x1), parallel slope (-2), then (-4,5). Plug in (-4,5) and -2 into the point slope form equation y-5=-2(x+4). That's all.
Draw a number line to represent the street sign below
Use the figure to answer the question.
What is the area of the triangle on the left?
Answer: 15
Step-by-step explanation:
Area of a triangle = base * height.
Since the inside figure is a square, the base of the triangle must be 5.
To find the height: The length of the entire figure is 17; subtract 5 to account for the square, and you know that the remaining 12 must be divided easily on the right and left side; this shows that the height of the triangle on the left must be 6.
Plug these numbers into the formula: 5 * 6 / 2 = 15 :)
Answer:
the answer is 29
Step-by-step explanation:
The answer is 12 because
the length is 17 then i did minus 5 since that's the width
17-5=12
that's the length for the slanted part then......
12+12=24+5=29
(you get 5 from if you see the straight line on the right is 5 so on the other its the same thing.
what number is 0.1 more than 149.99
Answer:
150.09
Step-by-step explanation:
0.1 = 1/10 + 149.99= 150. the leftover of 0.09 then is finally added to 150 which then you get 150.09
Please mark brainliest!
Answer:
The answer should be 150.09
Step-by-step explanation:
Adding one tenth to 149.9 will equal 150. The remaining 0.09 will be added to 150 and the final answer is 150.09
Hope This Helps
Have A Great Day
~Zero~
In a small town, there are 4 times as many left-handed males as there are left-handed females, and there are 3 times as many right-handed females as there are right-handed males. There are a total of 204 males and 348 females in the town.
Let x represent the number of left-handed females, and let y represent the number of right-handed males. Write a system of equations to represent the situation. What is the value of x, the number of left-handed females?
6
24
96
108
Answer:
(b) 24
Step-by-step explanation:
The given variable definitions and the given relationships let us write these statements:
LH males = 4 × LH females = 4x
RH females = 3 × RH males = 3y
LH males + RH males = 204 = 4x +y
RH females + LH females = 348 = 3y +x
Your favorite method of solving equations of this sort can tell you ...
(x, y) = (24, 108)
There are 24 left-handed females.
__
Additional comment
Other numbers involved here are ...
y = 108 . . . . right-handed males
204-108 = 96 . . . . left-handed males (=4×24)
348-24 = 324 . . . . right-handed females (=3×108)
__
If you want to solve the equations by hand, you can use substitution for y to get an equation in x:
3(204 -4x) +x = 348 ⇒ -11x = -264 ⇒ x = 24
If tan 0 = 8/15, what is sin 0?
1) the height is 11 ft
2) base is 9 in and the height is 3 in
I just need to know the area
1. All 4 sides are the same length
Area = 11 x 11 = 121 square ft.
2. area = 9 x 3 = 27 square in.
Which term describes a line segment that connects a vertex of a triangle to a point on the line containing the opposite side, so that the line segment is perpendicular to that line?
Answer: C
Step-by-step explanation:
Please Help! will give brainlest!
Answer:
No, because triangle XYZ is not a right triangle.
Step-by-step explanation:
SOHCAHTOA (sin, cos, tan) can only work on right triangles. If a triangle is not a right triangle, you cannot use sin cos tan on it. This triangle is not a right triangle, so this is why you cannot fin the tangent ratio.
There is an isosceles triangle which is also a right triangle. Its area is 50 square inches. Find the length of the base of the triangle
Answer: 10 inches
Step-by-step explanation:
Find the domain over which the function y = x + 6x is monotonic increasing.
Answer:
x > -3
[tex]\sf (-3, \infty)[/tex]
Step-by-step explanation:
Domain: input values (x-values)
Monotonic increasing: always increasing.
A function is increasing when its graph rises from left to right.
The graph of a quadratic function is a parabola. If the leading term is positive, the parabola opens upwards. The domain over which the function is increasing for a parabola that opens upwards is values greater than the x-value of the vertex.
Vertex
Standard form of quadratic equation: [tex]\sf y=ax^2+bx+c[/tex]
[tex]\textsf{x-value of vertex}=\sf -\dfrac{b}{2a}[/tex]
Given function:
[tex]\sf y=x^2+6x[/tex]
Therefore, x-value of function's vertex:
[tex]\sf \implies x= -\dfrac{6}{2}=-3[/tex]
Final Solution
The function is increasing when x > -3
[tex]\sf (-3, \infty)[/tex]
HELP ASAP
I WILL GIVE BRAINIST
answer:
jesus know the answer
3x - 12y = 6
x - 4y = 2
solve by elimination
3x-12y=6
x-4y=3--(1)x-4y=2--(2)Lets convert to slope intercept form
4y=x-34y=x-2Slopes are equal so lines are parallel
Hence no solutions
Determine the value of y, if x is −8. y=x 2 +4
Step-by-step explanation:
given: x = -8,
putting value of x in given equation,
y=(-8)2+4
y= -16+4
y=-12
Find the 53rd multiple of 62, if the 54th multiple is 3348.
Answer:
[tex]\displaystyle 3286[/tex]
Explanation:
Just multiply 62 and 53 to get 3286.
I am joyous to assist you at any time.
Solve the system of equations with substitution or elimination method. please help 2x+y=4 and 6x+7y=12
Answer:
x=2-y/2
y=12/7-6x/7
Step-by-step explanation:
Find the 8th term of the sequence whose common ratio is 1/3 and whose first term is 3
Answer:
The 8th term is [tex]\frac{1}{729}[/tex].
Step-by-step explanation:
Let's begin with the formula for a geometric sequence. We know this is geometric because we are working with a common ratio, or the number we multiply to find each term.
[tex]a_n=a_0(r)^{n-1}[/tex]
In this formula, [tex]a_0[/tex] is the first term, [tex]r[/tex] is the common ratio, and [tex]n[/tex] is the desired term. We know the values of [tex]r[/tex], [tex]a_0[/tex], and [tex]n[/tex] from the given information:
[tex]a_0=3\\r=\frac{1}{3}\\n=8[/tex]
Substituting those values we get:
[tex]a_8=3(\frac{1}{3})^{8-1}[/tex]
[tex]a_8=3(\frac{1}{3})^7\\a_8=3(\frac{1}{2187})\\a_8=\frac{3}{2187}\\a_8=\frac{1}{729}[/tex]
Erik rides his motorbike 26/23 miles in 23 hour. What is Erik’s average speed in miles per hour?
Answer:
Average speed = 40 mph.
Step-by-step explanation:
Which equation can be used to calculate the surface area of the triangular prism net show below? The net of a rectangular prism. The rectangular sides are 10 centimeters by 13 centimeters, 10 centimeters by 12 centimeters, and 10 centimeters by 5 centimeters. The triangular sides have a base of 5 centimeters and height of 12 centimeters. [Not drawn to scale] Surface Area = (one-half) (5) (12) (5) (10) (12) (10) (13) (10) Surface Area = (one-half) (5) (13) (one-half) (5) (13) (13) (10) (12) (10) Surface Area = (2) (5) (13) (5) (10) (13) (10) (12) (10) Surface Area = (one-half) (5) (12) (one-half) (5) (12) (5) (10) (12) (10) (13) (10).
The [tex]13\times10+12\times10+5\times10+\rm \frac{1}{2} \times 5 \times12+\rm \frac{1}{2} \times 5 \times12[/tex] equation can be used to calculate the surface area of the triangular prism.
It is given that the triangular prism net showing in the figure with dimensions.
It is required to find which equation can be used to find the surface area of the triangular prism net.
What is surface area?It is defined as the area of 3-dimensional geometry surfaces area sum which is occupying the outer area of the object.
We know the area of a rectangle = length × width
Area of the top rectangle = 13×10
Area of the middle rectangle = 12×10
Area of bottom rectangle= 5×10
The formula for finding the area of a triangle:
[tex]\rm A=\frac{1}{2} \times bh[/tex]
Area of right triangle = [tex]\rm \frac{1}{2} \times 5 \times12[/tex]
Area of left triangle = [tex]\rm \frac{1}{2} \times 5 \times12[/tex]
The surface area = Area of top+ Area of middle+ Area of bottom+ Area of
a right triangle+ Area of the left triangle
[tex]=13\times10+12\times10+5\times10+\rm \frac{1}{2} \times 5 \times12+\rm \frac{1}{2} \times 5 \times12[/tex]
Thus, the [tex]13\times10+12\times10+5\times10+\rm \frac{1}{2} \times 5 \times12+\rm \frac{1}{2} \times 5 \times12[/tex] equation can be used to calculate the surface area of the triangular prism.
Learn more about the surface area here:
https://brainly.com/question/1196953
What is the value of x
Answer:
The answer would be 7
36/6=6
so it would be
42/x=6
x=7
A plane takes off from an airport at an angle of 14.5°. If the plane is traveling at a velocity of 220 feet per second, how high off of the ground is the plane at 10 seconds?
The distance of the plane travelling at 220 feet per second off the ground is 151.71feet
How to calculate the maximum height of an objectMaximum height of the plane is expressed as:
[tex]M=\frac{u^2sin^2\theta}{2g}[/tex]
u is the velocity = 220ft/s
θ is the angle of elevation = 14.5°.
g is the acceleration due to gravity
Substitute
[tex]M=\frac{u^2sin^2\theta}{2g}\\M=\frac{220^2sin^2(14.5)}{2(10)}\\M=151.71feet[/tex]
Hence the distance of the plane off the ground is 151.71feet
Learn more on maximum height here: https://brainly.com/question/12446886
If (x − 5) is a factor of the polynomial function f(x) = 3x2 − 23x + 40, which of the following is another factor?
Answer:
3x-8
Step-by-step explanation:
Use synthetic division:
5 | 3 -23 40
____ 15 -40_
3 -8 | 0
Hence, another factor of the polynomial is 3x-8
you go to the pet store and see 9 cats and 12 dogs.if this ratio stays the same and there are 108 cats in the store,how many dogs would be in the store?
Answer:
144
Step-by-step explanation:
Because if you multiply 9*12=108 and 12*12=144
What is one way to put your PowerPoint Online presentation in full screen mode for your audience?
Select Begin Presentation
Select Editing View, and then select Start Slide Show
Select Presentation View
Select Reading View, and then select Start Slide Show
Answer:
The easiest and fastest way is shown below, by clicking the button at the bottom that is circled.
Step-by-step explanation:
Answer:
Reading View
Step-by-step explanation:
First, select the Reading View option in the bottom right corner of the working area. Then, select the Slide Show option that is right beside the Reading View option. This will make your presentation go full screen.
Angle 1 and Angle 2 are complementary angles. The measure of Angle 1 is 66 degrees. The measure of Angle 2 is 2x degrees. Find the value of x.
Answer:
Step-by-step explanation:
Complementary angles add up to 90°
∠1 + ∠2 = 90°
66 + 2x = 90°
2x = 90° - 66°
2x = 24°
x = 24/2
x = 12°
∠2 = 2*12
∠2 = 24°
How much of a radioactive substance must be presented to decay to 80 grams in 12 years if the half-life of the substance is 7.6 years?
Answer:
Radioactive in half life is 51gram
Step-by-step explanation:
80grams:12years
X :7.6years
12x÷x=x
7.6×80÷12=51gram
Answer:
239 grams.
Step-by-step explanation:
Half life t(1/2) = ln 2 / k
So 7.6 = ln 2 / k
k = ln 2 / 7.6 = 0 0901204
N = No e^-kt
So after 12 years
80 = No / e^(-0.0901204*12)
No = 80 / e^(-0.0901204*12)
= 239.