Answer:
28$
Step-by-step explanation:
Jessica went shopping for a new watch. She found a watch that was originally priced at $50 on sale for $40. By what percent had the watch been marked down?
Answer:
20%
Step-by-step explanation:
We were given a price at $50 on sale for $40. To get the markdown percentage, take the amount of money you've discounted the merchandise at and divide it by the sales price.
$50 sweaters, you can put them on sale for $40.
[tex]50 - 40 = 10[/tex]
The difference between these two prices is $10.
Now, we need to add the amount of which it was marked down
[tex]10 + 10 = 20[/tex]
Therefore, the watch has been marked down by 20%.
solve
[tex]\sf \dfrac{1}{p} + \dfrac{1}{q} + \dfrac{1}{x} = \dfrac{1}{p + q + x}[/tex]
Answer:
[tex] \displaystyle \begin{cases} \displaystyle {x} _{1} = - p \\ \displaystyle x _{2} = - q \end{cases}[/tex]
Step-by-step explanation:
we would like to solve the following equation for x:
[tex] \displaystyle \frac{1}{p} + \frac{1}{q} + \frac{1}{x} = \frac{1}{p + q + x} [/tex]
to do so isolate [tex]\frac{1}{x}[/tex] to right hand side and change its sign which yields:
[tex] \displaystyle \frac{1}{p} + \frac{1}{q} = \frac{1}{p + q + x} - \frac{1}{x} [/tex]
simplify Substraction:
[tex] \displaystyle \frac{1}{p} + \frac{1}{q} = \frac{x - (q + p + x)}{x(p + q + x)} [/tex]
get rid of only x:
[tex] \displaystyle \frac{1}{p} + \frac{1}{q} = \frac{ - (q + p )}{x(p + q + x)} [/tex]
simplify addition of the left hand side:
[tex] \displaystyle \frac{q + p}{pq} = \frac{ - (q + p )}{x(p + q + x)} [/tex]
divide both sides by q+p Which yields:
[tex] \displaystyle \frac{1}{pq} = \frac{ -1}{x(p + q + x)} [/tex]
cross multiplication:
[tex] \displaystyle x(p + q + x) = - pq[/tex]
distribute:
[tex] \displaystyle xp + xq + {x}^{2} = - pq[/tex]
isolate -pq to the left hand side and change its sign:
[tex] \displaystyle xp + xq + {x}^{2} + pq = 0[/tex]
rearrange it to standard form:
[tex] \displaystyle {x}^{2} + xp + xq + pq = 0[/tex]
now notice we end up with a quadratic equation therefore to solve so we can consider factoring method to use so
factor out x:
[tex] \displaystyle x( {x}^{} + p ) + xq + pq = 0[/tex]
factor out q:
[tex] \displaystyle x( {x}^{} + p ) +q (x + p)= 0[/tex]
group:
[tex] \displaystyle ( {x}^{} + p ) (x + q)= 0[/tex]
by Zero product property we obtain:
[tex] \displaystyle \begin{cases} \displaystyle {x}^{} + p = 0 \\ \displaystyle x + q= 0 \end{cases}[/tex]
cancel out p from the first equation and q from the second equation which yields:
[tex] \displaystyle \begin{cases} \displaystyle {x}^{} = - p \\ \displaystyle x = - q \end{cases}[/tex]
and we are done!
A linear equation, in terms of x, is correctly solved. The final step in the solution process shows that there are infinitely many solutions of the equation. Which could be the final step? A. x = 0
В. 312 = 427
C. 5,678 = 5,678
D. x = 100,000,000
Answer:
C)
Step-by-step explanation:
infinite number of solutions means the left side equals the right side of the equation
no solution means the left side does not equal the right side
x = {whatever} means there is one solution
Which statement best describes the solutions of a two-variable equation? (1) The ordered pairs must lie on the graphed equation. (2) The ordered pairs must lie near the graphed equation. (3) The ordered pairs must have x = 0 for one coordinate. (4) The ordered pairs must have y = 0 for one coordinate
Answer:
(1) The ordered pairs must lie on the graphed equation
The best description of the solutions of a two-variable equation should be the ordered pairs that lies on the graphed equation.
What is graphed equation?
The graph of a linear equation with respect to the two variables refers to a line. In the case when the equation should be considered as the linear so here we can determined the two solutions also plot the two points and then line should be drawn linked them.
Therefore, we can conclude that the first option is correct.
Learn more about equation here: https://brainly.com/question/13354141
how do you illustrste inequalities on a number line
Answer:
You can use a period or a circle (not colored in)
How long would the straw be?
Answer:
Length of straw = 11 inch (Approx.)
Step-by-step explanation:
Given:
Length of cuboid = 9 inch
Width of cuboid = 5 inch
Height of cuboid = 4 inch
Find;
Length of straw
Computation:
Length of straw = Diagonal of cuboid
Diagonal of cuboid = √l² + b² + h²
Diagonal of cuboid = √9² + 5² + 4²
Diagonal of cuboid = √81 + 25 + 16
Diagonal of cuboid = √122
Diagonal of cuboid = 11.04
Length of straw = 11 inch (Approx.)
Please help i will give decent points if corrected
If R is inversely proportional to A, and R = 4 when A = 100, what is the value of R when A = 250 A : .625 B : 1.6 C : 10 D : 6,250
Answer: (b)
Step-by-step explanation:
Given
R is inversely proportional to A i.e
[tex]R\propto \dfrac{1}{A}\\\\R=\dfrac{C}{A}\quad [\text{C=Constant}][/tex]
when [tex]R=4,\ A=100[/tex]
Insert the values to get C
[tex]\Rightarrow 4=\dfrac{C}{100}\\\\\Rightarrow C=400[/tex]
When A=250
[tex]\Rightarrow R=\dfrac{400}{250}\\\\\Rightarrow R=1.6[/tex]
option (b) is correct
Diego was trying to write 2^3 · 2^2 with a single exponent and wrote 2^3·2^2 = 2^3*2 = 2^6 . Explain to Diego what his mistake was and what the answer should be.
Answer:
2^3·2^2 = 2^3+2 = 2^5
Step-by-step explanation:
Diego was trying to write 2^3 · 2^2
He wrote 2^3·2^2 = 2^3*2 = 2^6
But this is wrong because when bases are same exponents are added.
This is the law of exponents.
The correct form would be
2^3·2^2 = 2^3+2 = 2^5
For understanding it better we can write it like this
2^3·2^2 =
There are 3 two and 2 twos .When totaled there are 5 two not 6 twos.
Find the values of x and y.
Answer: y=37.5degrees and x=110degrees
Step-by-step explanation: sum of angle in a quadrilateral =360 and opposite angles=180. 115+2y=180,2y=180-115=75. 2y/2=75/2. therefore y=37.5. while x=70+x=180,x=180-70=110. x=110
which relation is also a function (i can’t get this wrong please help) 15 points
Answer:
The answer is d
Step-by-step explanation:
this is because a , b and c all have multiple x vales with more then one y value .
Shortest to longest in order
1 mm, 1m, 1cm, 1 km
Answer:
1mm, 1cm, 1m, 1km.
Step-by-step explanation:
Answer:mm, cm, m, km
Step-by-step explanation:
The function f is given by f(x)= (x-2) (x+4) . Without using graphing technology, answer the following questions. (graph included)
1) What are the x-intercepts of the graph representing f?
2) What are the x- and y-coordinates of the vertex of the graph?
please help!!
Answer:
x-intercepts = -4 and 2
vertex (-1, -9)
Step-by-step explanation:
To find the x-intercepts ie roots
set the equation to 0
(x - 2) (x + 4) = 0
From the zero product rule
x - 2 = 0
x = 2
x + 4 = 0
x = -4
x-intercepts = -4 and 2
--------------------------
The x coordinate of the vertex is the midpoint of the roots
x = (-4 + 2)/2
x = -1
Plug x = -1 into the function
y = (-1 - 2)(-1 + 4)
y = -3 * 3
y = -9
vertex (-1, -9)
10) Calculate angle u, v and w
A
Y
с
88
68
Answer:
u = 24, v = 92, and w = 184
Step-by-step explanation:
According to circle theorem, we have;
∠ACD = ∠ABD = 88° by angle inscribed in a circle and also subtending the same chord
∠DOA = 2 × ∠ABD by angle subtended at the center = 2 × Angle subtended at the circumference
∴ ∠DOA = 2 × ∠ABD = 2 × 88° = 176°
w° + ∠DOA = 360 by the sum of angles at a point
∴ w° = 360° - ∠DOA = 360° - 176° = 184°
w° = 184°
w° = 2 × v° by angle subtended at the center = 2 × Angle subtended at the circumference
∴ v° = w°/2 = 184°/2 = 92°
v° = 92°
In triangle ΔCDY and ΔABY, we have;
∠ABD = ∠ABY by reflexive property
∠ACD = ∠ACY by reflexive property
∠ACD = ∠ABD = 88°
∴ ∠ABY = 88°
∠CYD = ∠AYB by vertically opposite angles are equal
∴ ∠CYD = 68° = ∠AYB
u° + ∠ABY + ∠AYB = 180° by angle sum property
∴ u° = 180° - (∠ABY + ∠AYB)
u° = 180° - (88° + 68°) = 24°
u° = 24°.
Is 3 a solution to 3x + 5 = 5x + 6 - 2
Answer:
no
Step-by-step explanation:
it's X= 0.5
group like terms
3x - 5x = 6 - 2 - 5
simplify the equation
-2x = -1
divide through by the coefficient of X
x = 0.5
Mrs. Thomas has two rolls of garden edging that are each 96 inches long.
She wants to make two new flower beds in her back yard. Each flower bed
will be bordered by one roll of the edging. One flower bed will be in the
shape of a quadrilateral. The other will be in the shape of a triangle.
Please answer all parts. I will give brainliest for correct answer!
Answer:
A) The total length of each edging in her scale drawing would be 19.2 centimeters.
B) Square or rectangle
C) angle α= 53.13 degrees
angle β= 36.87 degrees
height= 32 inches
base= 24 inches
hypotenuse 40 inches.
Step-by-step explanation:
Part A:
If the roll edging is 96 inches long and the scale chosen is
5inches = 1 cm
96inches /5= 19.2cm
The total length of each edging in her scale drawing would be 19.2 centimeters.
Part B:
The quadrilaterals such rectangle square right trapezoid have a pair of 90 degrees angles.
If we choose a square shape then all sides must be equal. And we have a length of 19.2 centimeters.
Dividing 19.2 by 4 gives 4.8 cm for each side.
Figure A shows a square and has 4 sides equal and 4 right angles.
If we choose a rectangle shape then 2 sides must be equal. We have a length of 19.2 centimeters.
Suppose the length is 2 times more than the width
which will give the dimensions as
2*2 x+ 2x= 6x ( length and width denoted by x)
Dividing 19.2 by 6 gives 3.2 cm for each width and 6.4 for the lengths.
Figure B shows a rectangle and has 2 sides equal and 4 right angles.
It depends on which quadrilateral you wish to choose.
Part C:
Using Pythagorus theorem if the base and altitude are given then the hypotenuse can be found out using the following formula.
c²= a² +b²
c²= 6.4² +4.8²
c²= 40.96+23.04= 64
c= √64 = 8
The third side must be equal to 8 centimeters.
Using the formula
Cos α= base / hypotenuse
Cos α=4.8/8
α= Cos (inverse) 4.8/8
α= Cos (inverse) 0.6
α= 53.13 degrees
So angle α= 53.13 degrees
All the angles in the triangle must be 180 degrees.
α + β + 90°= 180°
And angle β= 180-90-53.13= 36.869= 36.87 degrees
The actual dimensions of this triangle are
height= a= 6.4* 5= 32 inches
base= b= 4.8*5= 24 inches
hypotenuse= 8*5= 40 inches.
How does my geometry project look before I email it to the teacher ???
It’s a construction of a icosahedron
Answer:
it look really good job
Step-by-step explanation:
Ayla assembles a straight path for her toy trains using 11 pieces of track. Each piece of track is 8 centimeters long.
How long is the path?
Answer:
88 centimeters
Step-by-step explanation:
8 times 11 is 88
The length of the path is 88 centimeters.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example: so
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Ayla uses 11 pieces of track, and each piece is 8 centimeters long, so the total length of the path is:
11 pieces of track x 8 centimeters per piece
= 88 centimeters
Therefore,
The length of the path is 88 centimeters.
Learn more about expressions here:
https://brainly.com/question/3118662
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The dimensions of a trangular prism
are shown in the diagram
What is the volume of the trangular prism in cubic inches
D) 20.
None of the above
Answer:
where is the diagram for the question??
Consider the equations below:
x=4 and y = -2
Are the lines parallel or perpendicular?
A Parallel because the slopes are both zero
B Parallel because one line has a slope that is undefined and the other has a slope of zero.
C Perpendicular because the slopes are both zero
D Perpendicular because one line has a slope that is undefined and the other has a slope of zero.
Answer:
D
Step-by-step explanation:
Which of the following expressions are factored out?
5(2x + 7)
18y + 12
31x + 21
7.5x + 20y
12x - 6
6(6x - 1)
9(y- 4)
32x -96
15x - 35 + 20y
16x - 12
3(4x - 5)
15x - 18
4 - 3y
5(x + 9 + 3y)
28x + 20
-4x + 2
Answer:
one of them
Step-by-step explanation:
A rectangle with an area of 124 cm2 has a length that is 4 times the width. What is the width?
Answer:
62
Step-by-step explanation:
124*2=248
248/4=62
In a group of 200 students, 100 are taking Geometry, 60 are taking IPC and 5 are taking both Geometry and IPC. If a student, chosen at random, is taking Geometry, what is the probability that he or she is taking IPC?
a) 0.025
b) 0.05
c) 0.031
d) 0.083
If the interest on a 4,600 loan is 370 what would be in the interest on a loan of 9.660
Answer:
772.17
Step-by-step explanation:
Given,
Interest (I) = 370
Principal (P) = 4600
Rate (R) = ? , Time (T) = ?
We know,
I = PTR/100
or, 370 = 4600TR/100
or, 370 = 46TR
∴ TR = 370/46 = 185/23.................(1)
Now,
On Principal (P) = 9600
Interest (I) = PTR/100
or, I = 9600TR/100
or, I = 96 * 185/23 (∵From 1)
∴ I = 772.179
HELP!!! Choose the best answer.
Answer:
x^3y^2+x^2y^3-x^2-y^2
Step-by-step explanation:
I will edit my answer if you need my explanation.
If this has helped you please mark as brainliest
18/80 in simplest from
Answer:
answer: 9/40
Step-by-step explanation:
18 ÷ 2 = 9 and 80 ÷ 2 = 40 and you can't go any further so 9/40 is the answer.
PLEASE PLEASE PLEASE HELPPP PLS
mary and nathan share some sweets in the ratio 6 : 8 mary has 66 sweets how many sweets does nathan have?
88 because you multiply 66 by 8 then divide by 6 and you get 88
Answer:
88
Step-by-step explanation:
6:8=66:x
66×6=528
528=6x
x=88
Write the equation in slope intercept form for a line that has a slope or -5 and a y-intercept of (0,2)
Answer:
y = -5x + 2
Step-by-step explanation:
y = -5x + b
2 = -5(0) + b
2 = 0 + b
b = 2
y = -5x + 2
find the volume of a rectangular pyramid with a base of 2 meters by 6 meters and a height of 3 meters (no photo attached)
Answer:
36 meters^3
Step-by-step explanation:
Formula: Bh
B=Base area
h=height
to find the base area, multiply 2 and 6
2x6 = 12
B=12
and the height is given, so just insert your numbers into the formula
12x3=36