Answer:
Sales price = $78
Original price = $61
Step-by-step explanation:
Ulian bought the shows for $120 at a specialty store. This discount store had it at $42 less. The price at the discount store is therefore:
= 120 - 42
= $78
The shoes at the discount store are 61% off and the discounted price is $78. Assume the original price is x. The original price will be:
x - (x * 61%) = 78
x - 0.61x = 78
0.39x = 78
x = 78/0.39
x = $200
How do I find n in the the permutation equation of nP3 = 990
Answer:
n=11
Step-by-step explanation:
Permutations
The formula to calculate permutations is:
[tex]\displaystyle nPm=\frac{n!}{(n-m)!}[/tex]
We know nP3=990. Substituting:
[tex]\displaystyle nP3=\frac{n!}{(n-3)!}=990[/tex]
Expanding the factorial in the numerator:
[tex]\displaystyle \frac{n(n-1)(n-2)(n-3)!}{(n-3)!}=990[/tex]
Simplifying:
[tex]n(n-1)(n-2)=990[/tex]
This equation can be easily solved by inspection. The product of three consecutive numbers resulting 990. Starting from greatest to smallest, those numbers are 11,10, and 9, thus:
[tex]n(n-1)(n-2)=11*10*9[/tex]
It follows that n=11
What is the slope of the table?
Write an equation of the line
in slope intercept form that
has a slope of -6 and
passes through the point
(2, -4).
Answer:
y=-6x+8
Step-by-step explanation:
Slope-intercept form is y=mx+b, where m is the slope and b is the y intercept.
We know a point (2,-4) and a slope -6.
We can subtsitute what we know into the equation above, to find what the y intercept is, since the line will pass through the point given.
-4=-6(2)+b
multiply
-4=-12+b
add 12 to both sides
8=b
the y intercept is (0,8)
Now we know what b is, so we know what the full equation is:
y=-6x+8
hope this helps!
can someone please please please help me asap?!
Answer:
-1.5
Step-by-step explanation:
Rise is 3, run is -2
I hope this helps..
what is 3a + 3/6. if a = 1/4
Answer:
5/4
Step-by-step explanation:
Solve by plugging in the value to "a".
Solve:
3a + 3/6
3(1/4) + 3/6
Multiply the parenthesis.
3/4 + 3/6
Simplify 3/6
3/4 + 1/2
Find the common denominator, which is 4. Make the denominators the same.
3/4 + 2/4
Add the fractions.
5/4
Plz help find each circle measure !!!!!
Answer:
for the first one it is
ED= 26
CF= 13
mED= 136
mHD= 68
mCE= dont know this one but the other ones im positive their right
Step-by-step explanation:
9514 1404 393
Answer:
ED = 26; CF = 13; arc ED = 136°; arc HD = 68°; arc CE = 88°
QU = 8; QR= 16; arc ST = 114°; arc QR = 114°; arc XT = 57°
Step-by-step explanation:
Chords the same distance from the center of the circle are the same length. Chords of the same length intercept arcs of the same angle measure. A radius perpendicular to a chord bisects it and the arc it subtends. The sum of arcs in a circle is 360°. These facts are used to solve the problems here.
__
Circle J
ED = 2×GD = 26
CF = GD = 13
arc ED = arc CD = 136°
arc HD = 1/2 arc CD = 68°
arc CE = 360° - 2×136° = 88°
__
Circle Y
QU = 1/2×ST = 8
QR = ST = 16
arc ST = arc QR = 1/2(360° -34° -98°) = 114°
arc XT = 1/2 arc ST = 57°
Enter the range of values for x:
[?]
Answer:
2<x<7
Step-by-step explanation:
Answer:
2<x<7
Step-by-step explanation:
the difference of 18 and m is equal to the product of m and 7
Answer:
M = 11/2
Step-by-step explanation:
first set up the problem
18-m = m+7
subtract m to both sides
18 -2m = 7
then subtract 18
-2m = -11
divide by negative 2
m = 11/2
The points A, B and C have position vectors OA = 6,2, OB = 3,4 and OC = 12, -2 respectively.
Express the vector:
a) BA
b) BC
Answer:(a) BA = (-3,2) (b) BC = (-9,6)
Step-by-step explanation: (a) Vector BA = position vector of B - position vector of A = vector OB - vector OA = (3-6) i + (4-2) j = -3i+2j [i, j are unit vectors along x and y-axis respectively]. Also vector BA=(-3,2). (b) Vector BC = position vector of B - position vector of C = vector OB - vector OC = (3-12) i + (4-(-2)) j = -9i+6j [i, j are unit vectors along x and y-axis respectively]. Also vector BA=(-9,6).
Multiplying and Dividing Radical Expressions
Answer:
The answer for the first equation is,
B. 11
The answer for the second equation is,
D.none of these.
Answer:
first question: [tex]\sqrt[4]{110}[/tex] (last option)
second question: 2a³b²· [tex]\sqrt[3]{3a}[/tex] (3rd option)
Step-by-step explanation:
1st question - follow this rule: [tex]\sqrt[4]{m}[/tex] · [tex]\sqrt[4]{n}[/tex] = [tex]\sqrt[4]{m x n}[/tex]
2nd question: [tex]\sqrt[3]{24a^10b^6}[/tex] = [tex]\sqrt[3]{2^3a^3a^3ab^3b^3}[/tex] = 2·a·a·b·b[tex]\sqrt[3]{3a}[/tex] = 2a²b²[tex]\sqrt[3]{3a}[/tex]
A local venue is selling tickets to a show. They are selling $10 and $15 tickets, each with different seating. If the venue sells 1,000 tickets and collects a total of $12,200 from sales, how many of each type of ticket did they sell? Please explain the work
Answer:
Let $10 tickets be (x)
Let $15 tickets be (y)
Now we know they sold 1000 tickets
And they earned 12,200 from sales
So we can say
X+Y=1000
10x+15y=12,200
We can do substitution
So lets find Y first
Y=1000-x (basically x+y=1000 but solved for Y)
10x+ 15 ( 1000-x)= 12,200
You’d get
10x+15000-15x=12200
Combine and solve for x and you’ll get
x=560
So we know that x is 560
We can just use that to solve for Y
Since X is 560 tickets
And 1000 tickets soled
1000-560=440
440 ($15) tickets
560 ($10) tickets
Madison was given a large box of 42 chocolates for her birthday. If she eats exactly 5
chocolates each day, how many chocolates would Madison have remaining 5 days
after her birthday?
Answer:25
Step-by-step explanation: bc 5 x 5 =25
Answer:17 chocolates left
Step-by-step explanation:
5x5= 25
42 - 25 = 17
hopefully this helps
3. Bond energy is the energy
a. absorbed as a molecule forms.
b. change as atoms get closer together.
C. required to break a chemical bond and form separate, neutral
atoms.
d. of two covalently bonded atoms.
You open a drink stand where you sell coffee and hot chocolate. You sell coffee for $1.80 and hot chocolate for $3.15. At the end of the day, you sold 120 cups and the total money you earned was $284.40. How many of each type of drink did you sell?
Answer:
c = 69 and h = 51
Step-by-step explanation:
You will need two different equations here
use variable c as coffee and variable h as hot chocolate
c + h = 120
1.80c + 3.15h = 284.40
By moving variables, you can alter the first equation
h = 120 - c
Now insert this into the second equation
1.80c + 3.15(120 - c) = 284.40
Multiply
1.80c + 378 - 3.15c = 284.40
Subtract the c
-1.35c + 378 = 284.40
Subtract 378 from both sides
-1.35c = -93.6
Divide both sides by -1.35
c = 69
Then plug into the first equation
69 + h = 120
Subtract 69
h = 51
taryn sold gift wrapping paper for a school project she sold 15 rolls of paper write an inequality to represent the amount she earned for the fundraiser
Answer:
Step-by-step explanation:
15× 8 = 120
Answer:
d ≥ 120
Step-by-step explanation:
Multiply 15 x 8
= 120
At Least means we use the ≥ sign.
So its d ≥ 120
Sorry if this is late!
What is the value of x in the equation 5/2x + 2 = 3.5
ahh math
Answer:
x=5/26
Step-by-step explanation:
5/2x+2=3.5
5/2x+2=3×5
5/2x=15-2
5/2x=13
5=26x
5/26=x
x=5/26
hope this help if you want a better explanation I'll explain in the comments or something
HELP please this is urgent!!!!! (Tangent lines)
Answer:
Perimeter = 32 cm
Step-by-step explanation:
Use the property of tangents drawn to a circle,
"Length of tangents drawn to a circle drawn from a point given outside the circle are equal"
AE = AH = 3 cm
BE = FB = 4 cm
CG = CF = 5 cm
Since, ∠B ≅ ∠D,
Therefore, length of tangents drawn from D will be equal to the length of tangents drawn form B.
Therefore, DG = DH = 4 cm
Now AB = AE + BE
= 3 + 4
= 7 cm
BC = FB + CF
= 4 + 5
= 9 cm
CD = CG + DG
= 5 + 4
= 9 cm
AD = AH + HD
= 3 + 4
= 7 cm
Perimeter of ABCD = AB + BC + CD + AD
= 7 + 9 + 9 + 7
= 32 cm
10+x=21 ?
What’s the answer
Answer:
x=11
Step-by-step explanation:
first you flip the X and the 10, then subtract the 10 on both sides and you should be left with x=11
what is y=8.5x contasnt of proportionality
If P(A)=0.54 then what value of P(B) the event A and B are complementary event
Answer:
P(B) = 0.46
Step-by-step explanation:
Probability
The complementary event of a given event A is defined as "not A" or the event that A does not occur.
For example, if A is defined as 'getting a job', then the complement of A is 'not getting a job'.
Event A and its complementary event (call it B) must satisfy:
P(A) + P(B) = 1
If we know P(A)=0.54, then
P(B) = 1 - P(A)
P(B) = 1 - 0.54
P(B) = 0.46
Comparing Methods to solving systems.
x -y =-2
7x +2y =-5
Solve it by graphing method
Answer:
[tex]x = - 1 \\ y = 1[/tex]
Step-by-step explanation:
[tex]x - y = - 2 [/tex]
[tex]x = y - 2[/tex]
[tex]7x + 2y = - 5[/tex]
[tex]7(y - 2) + 2y = - 5 \\ [/tex]
[tex]7y - 14 + 2y = - 5[/tex]
[tex]9y = 14 - 5[/tex]
[tex]9y = 9[/tex]
[tex]y = \frac{9}{9} = 1[/tex]
[tex]x = y - 2 = 1 - 2 = - 1[/tex]
What's the unit rate for 15 plates in 3 stacks?
A: 3 Plates Per Stack
B: 4 Plates Per Stack
C: 5 Plates Per Stack
D: 6 Plates Per Stack
Answer:
My pretty sure its 5
(don’t count on it too much, this is my first answer)
Step-by-step explanation:
pls help is ending of semester tomorrow
Answer:
18.7
Step-by-step explanation:
5.5 × 6.8 = 37.4 / 2 = 18.7
Answer:
This triangle is an isosceles triangle, so we have the formula: S = (1/2 x a) x h
A = (1/2 x 6.8 ) x5.5 = 18.7 ft²
Step-by-step explanation:
17. The sum of four consecutive integers is at most 100. Find the integers.
and solve.
Answer:
23,24,25,26
Step-by-step explanation:
X+(x+1)+(x+2)+(x+3)= 100
4x+6=100
4x=100-6
X=94/4
X=23.5
Ads the sum is said to be AT MOST 100 SO WE WILL ROUND DOWN THE NUMBER
So x=23
X+1=24
X+2=25
X+3=26
Sum=23+24+25+26=98
98<100 so answer is correct
2
which one of the following mappings
represents y as a function of x?
A
18
24
27
3
4
12
18
24
27
2
6
12
18
24
27
2
3
6
12
18
24
27
8.56
if MP= 6x-5, QR = 3x+1 ,and RN = 6, what is QN
Answer:
19 units.
Step-by-step explanation:
Consider the below figure attached with this question.
From the below figure it is given that MN=PQ.
It is given that MP = 6x – 5, QR = 3x + 1, and RN = 6.
Since non parallel sides are equal, therefore it is an isosceles trapezoid.
The diagonals of an isosceles trapezoid are equal.
Substitute the given values.
The value of x is 4.
Hence, the measure of QN is 19 units.
Juan wants to use all the ingredients in the table to make trail mix
Answer:
okay, he can do it
is there supposed to be something attached? there's not enough information to solve this.
Step-by-step explanation:
What is the slope of this non vertical line?!
Answer: 3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
y = 3x - 1
Y = - 3x 4x - 2y = -20
Solve for x
Answer:
x=-2
Step-by-step explanation:
y=-3x
4x-2y=-20
2y=4x+20
y=2x+10
subs y
2x+10=-3x
5x=-10
x=-2
What is the radius of a sphere with a volume of 3026 cm ^3, to the nearest tenth of a centimeter?
Answer:
[tex]r=9.0\:\mathrm{cm}[/tex]
Step-by-step explanation:
The volume of a sphere is given as [tex]\frac{4}{3}r^3\pi[/tex]. Therefore we have the following equation:
[tex]\frac{4}{3}r^3\pi=3026,\\r^3=\frac{3}{4}\cdot\frac{3026}{\pi},\\r^3=722.40428,\\r=\sqrt[3]{722.40428},\\r\approx \fbox{$9.0\:\mathrm{cm}$}[/tex].
Rounding this to the nearest tenth of a centimeter, the radius of the sphere is approximately 14.0 cm.
What is volume?Volume refers to the amount of space occupied by an object or substance. In mathematics, it is usually measured in cubic units (e.g. cubic meters, cubic centimeters).
The volume of an object can be calculated using its dimensions and specific formulas that depend on the shape of the object.
For example, the volume of a cube is calculated by multiplying its length, width, and height, while the volume of a sphere is calculated using the formula [tex](4/3)\pi r^3[/tex], where r is the radius of the sphere.
The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius of the sphere and π (pi) is a mathematical constant approximately equal to 3.14159.
We can rearrange this formula to solve for r:
r = [tex](3V/4\pi)^{(1/3)[/tex]
Substituting the given volume V = 3026 [tex]cm^3[/tex], we get:
r = [tex](3(3026)/(4\pi))^{(1/3)[/tex] ≈ 14.0 cm
Thus, the radius of the sphere is approximately 14.0 cm, rounded to the nearest tenth of a centimetre.
For more details regarding volume, visit:
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