find A∩ (B∪ C)
A={2,3,5,8}
B= {3,5,7}
C={2,4,8}
Answers:
•{}
•{2,8}
•{2,3,5,8}
•{2,3,4,5,7,8}
Answer:
2,4
Step-by-step explanation:
(2,3)
(2,5)
(5,8)
The price of a holiday was increased by 11% to £870. What was the price before the increase?
Give your answer to the nearest penny
Answer:
783.78
or
£784
Step-by-step explanation:
4(x - 5) + 36
Use the Distributive Property
Need Help ASAP
Nora is 12 years away from being a century old. How old is Nora?
Answer:
88 years old
Step-by-step explanation:
A century is 100 years.
100 - 12 = 88
which pair of triangles can be proven congruent by the HL theorem?
Answer:
the middle one because HL is hypotenuse-leg and the middle one is the one that has a congruent hypotenuse and a congruent leg
(HL theorem only works with a right triangle)
Step-by-step explanation:
The pair of triangles that can be proven congruent by the HL theorem is the triangles in the middle.
Calculations and ParametersAccording to the HL Theorem:
A triangle would contain:
A hypotenuse-legCongruent hypotenuseCongruent leg.Therefore, we can see that the pair of triangles in the middle of the diagram are congruent through the HL theorem as they satisfy the conditions.
Read more about congruence here:
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:)Merry christmas eve may you guys please help me with this :)
the answer is to this is c
What’s your favorite Christmas song? Or favorite Christmas tradition?
Answer:
my favorite christmas song is white christmas
Step-by-step explanation:
Determine the value of z for the system of equations. x + y + z = 2 3x - 2y + 2z = -8 8z - 12y - x = 12
Answer:
4Step-by-step explanation:
To get the value of z, we need to reduce the system of equation into two and 2 unknowns;
Add 1 and 3:
y - 12y + z + 8z = 2+12
-11y + 9z = 14 ....... 4
Also Multiply equation 1 by 3 and subtract from 2
Eqn 1 * 2 will give 3x + 3y + 3z = 6
Subtract from eqn 2;
3y-(-2y)+3z-2z = 6-(-8)
5y+z = 14 ....5
Solve 4 and 5
-11y + 9z = 14 * 5
5y+z = 14 * 11
________________
-55y + 45z = 70
55y + 11z = 154
Add both
45z+11z = 70+154
56z = 224
z= 224/56
z = 4
Hence the value of z is 4
Two trains have to travel a distance of 300 miles. Train A goes at the speed of 50 mph and Train B goes at the speed of 60 mph. However, Train B leaves 1 hour later than Train A. When will the 2 trains meet?
Answer:
Both trains would meet in 6 hours time.
Step-by-step explanation:
Train A = 50 miles per hour
Train B = 60 miles per hour
Train B leaves 1 hour later than Train A: This means Train A started the journey first.
When will the 2 trains meet?
Both trains would meet when they both cover equal distance.
Distance = Speed * Time
First Hour
Train A = 50 miles
Train B = 0 miles
Second Hour
Train A = 100 miles
Train B = 60 miles
Third Hour
Train A = 150 miles
Train B = 120 miles
Fourth Hour
Train A = 200 miles
Train B = 180 miles
Fifth Hour
Train A = 250 miles
Train B = 240 miles
Sixth Hour
Train A = 300 miles
Train B = 300 miles
Both trains would meet in 6 hours time.
Which question can be answered by finding 3 1/2÷1/4
A.You have 3 1/2 meters of ribbon and use 1/4 meter. How much ribbon is remaining?
B.How much is 1/4 of a 3/1/2-meter long piece of ribbon?
C.How many 1/4-meter long pieces of ribbon are needed to have a total of 3 1/2 meters of ribbon?
Answer: Choice C.
How many 1/4-meter long pieces of ribbon are needed to have a total of 3 1/2 meters of ribbon.
==========================================================
Explanation:
Let's consider a similar problem without the fractions.
Let's say you want to know how many 2 meter lengths of ribbon you can cut from an overall length of 24 meters. That would be 24 ÷ 2 = 12 pieces total.
So we divide the two values (large ÷ small)
The same idea applies to this problem as well. The larger amount (3 & 1/2 meters) is what we cut up, and each slice is 1/4 of a meter. To find the number of pieces, we would compute 3 1/2÷1/4
Note: it might help to convert the mixed number 3 & 1/2 to the improper fraction 7/2
Answer:
znvipahgvahgv
Step-by-step explanation:
*EASY* SOLVE WITH STEPS *WILL MARK BRAINLIEST*
Answer:
(6, 1)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
3x - 5y = 13
x + 4y = 10
Step 2: Rewrite Systems
x + 4y = 10
Subtract 4y on both sides: x = 10 - 4yStep 3: Redefine Systems
3x - 5y = 13
x = 10 - 4y
Step 4: Solve for y
Substitution
Substitute in x: 3(10 - 4y) - 5y = 13Distribute 3: 30 - 12y - 5y = 13Combine like terms: 30 - 17y = 13Isolate y terms: -17y = -17Isolate y: y = 1Step 5: Solve for x
Define equation: x + 4y = 10Substitute in y: x + 4(1) = 10Multiply: x + 4 = 10Isolate x: x = 6Answer:
(6,1) x=6 and y=1
Step-by-step explanation:
EASY we can use Elimination or Substitution process
We are going to solve by
Elimination process
Subtract each other
(3x-5y=13)
(x+4y=10)
3x-5y=13;x+4y=10
To solve this multiply (x-4y=10) by 3 to get rid of the x
3x-12y=30
now u can subtract both
3x-12y=30 minus
3x-5y=13
17y=17
Divide both sides by 17
y=1
Now we have y lets plug it in to find x
x+4(1)=10
x+4=10
subtract 4 from both sides
x=6
x=6 and y=1
Math Riddle
Wizard Electronics & Games is having a holiday sale. Everything in the store is 25% off, and cash purchases receive another 25% off the sale price. How much would pay for a video game with a pre-sale of $100 if you paid with cash?
A.) $50
B.) $56.25
C.) $75
D.) $50.75
I’ll mark as BRANLIEST!!!
45 POINTS!!!
I need help with both questions plz help god loves you all.
Answer:
43
-161
Step-by-step explanation:
Use the remainder theorem to determine if x = 2 is a zero of the following polynomial, and find the quotient and the remainder.
p(x) = x3 + 24x2 + 108x - 320
Answer:
(A) Yes, x = 2 is a zero of the polynomial.
The quotient is x² + 26x + 160 and the remainder is 0
Step-by-step explanation:
Given;
p(x) = x³ + 24x² + 108x - 320
Using remainder theorem to test if x = 2 is a zero of the given function
p(2) = (2)³ + 24(2)² + 108(2) - 320
= 8 + 96 + 216 - 320
= 0
Thus, x = 2 is zero of the function
(ii) to get the quotient and the remainder of the given function, divide the function by 'x - 2'
x² + 26x + 160
x - 2 √ x³ + 24x² + 108x - 320
- (x³ - 2x²)
0 + 26x² + 108x - 320
- (26x² - 52x)
0 + 160x - 320
- (160x - 320)
0 + 0
The quotient is x² + 26x + 160
The remainder is 0
Thus, the correct option is A.
Yes, x = 2 is a zero of the polynomial.
The quotient is x² + 26x + 160 and the remainder is 0
The ratio of athletes to non-athletes at Taylor middle school is 3 to 4. If there are 33 athletes, how many non-athletes are there?
Answer:
44 non-athletes
Step-by-step explanation:
3 to 4
Athlete number, 3, was multiplied by 11.
Multiply non-athlete number, 4, by 11.
You get 44.
Find the length of AC.
a. 10.1
b. 10.0
c. 10.9
d. 8.86
PLEASE HELPPP ASAP
Answer:
Option D
Step-by-step explanation:
According to law of cosines =
[tex] {a}^{2} = {b}^{2} + {c}^{2} - 2bc. \cos(A) [/tex]
where 'a' is the uknown side , 'b' & 'c' are the given sides and angleA is the angle opposite to the uknown side i.e. opposite to 'a'.
Using the Law of cosines , we'll find the length of AC .
[tex] {ac}^{2} = {7}^{2} + {13}^{2} - 2 \times 7 \times 13 \times \cos(50) [/tex]
[tex] = > {ac}^{2} = 49 + 169 - 182 \times 0.76[/tex]
[tex] = > {ac}^{2} = 218 - 138.8 = 79.68[/tex]
[tex] = > ac = \sqrt{79.68} = 8.92 = 9(appx)[/tex]
In option D , if we'll round of 8.86 , then its appx 9. So option D is right
D is 13. What is the length of the line.
Answer:
D
Step-by-step explanation:
You have to use pythagorean theorem to solve this.
Answer:
D
Step-by-step explanation:
use pytherogream theory
sides, 5 and 12
pytherogream triple 5, 12, 13
Help !! I'm being tired will mark brainlest!!!
Answer:
I think it's associative property of multiplication.
Answer: a
it’s multiplication
Kira owes her mom $125 and is planning to to payer back with payments $7 a week. Write an equation in slope-intercept form that models this situation.
Answer:
y = 17(7) + 6
Step-by-step explanation:
Given that:
Amount owed = $125
Payment per week = $7
Number of whole weeks to pay :
$125 / $7 = 17.85 = 17 whole weeks
$125 - (17 * 7) = $125 - $119 = $6
Using slope intercept notation :
y = mx + c
Where m = slope ; c = intercept. ;
m = 17,; x = $7, c = $6
y = 17(7) + 6
Heres 20p for whoever solves this
Two times x is 16 more than y. The sum of x and two times y is 18. Write two equations and graph to find the value of y
Answer:
i dont remember how to answer this so heres some info from the graph.
the y-intercept of the first equation is 8.
the y-intercept of the second equation is 18.
the equations cross at (10,4)
Answer:
y = 4
Step-by-step explanation:
Mindy bought 1¾ pounds of candy for herself and for each of three friends while she was at the candy store. How many pounds of candy did she buy?
Answer: 7 pounds
Step-by-step explanation: 1 3/4×4=7
What is the slope ?????????
Answer:
[tex]m=\frac{8}{5}[/tex]
Step-by-step explanation:
Answer: The slope is -8/5
Step-by-step explanation:
Using the located points (-1,4) and (4,-4) we will find the difference in the y coordinates of the points and divide it by the difference in the x coordinates of the same points.
Difference in y: 4 - (-4) = 8
Differecence in x -1 - 4 = -5
Slope: 8/-5
What is an equation of the vertical line that passes through (−2, −9)?
x=?
Answer:
x = -2
Step-by-step explanation:
could someone please help me?
Answer:
i-1
Step-by-step explanation:
2i 1−i = 2i(1+i)(1−i)(1+i)=2(i−1)1+i−i+1=2(i−1)2=i−1
2 plus 2 is equal to
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Ya'll I'm desperate please answer this I really need to get it right.
Answer:
a. Indep. = x, and dependent equals f(x)
b. x impacts f(x)
f(-4)= -11
Step-by-step explanation:
hope this helped
Solve for x: 4x=-2x+36
Answer:
6x=36
x=6
Step-by-step explanation:
The length of a rectangle is three less than four times the width. The perimeter of the rectangle is 54 feet. Find the width of the rectangle.
Answer:
6 ft
Step-by-step explanation:
Let the width = w
Then the length = 4w - 3
perimeter = 2(length + width)
perimeter = 2(4w - 3 + w)
perimeter = 2(5w - 3)
perimeter = 10w - 6 = 54
10w - 6 = 54
10w = 60
w = 6
Answer: The width is 6 ft
Plz help I need it bad
Answer:
Reflection, then rotation
Step-by-step explanation:
The first triangle is flipped to the second position and then rotated to the thrid position.
Tominka use 6 1/9 inches of wire to make a necklace and 3 1/3 of wire to make a bracelet. How many necklaces and bracelet sets can she make if she uses 28 1/3 inches of wire in all?
Answer: 3 necklaces and bracelet sets can be made from the 28 1/3 inches of wire.
Step-by-step explanation:
step 1
LET I set of necklace and bracelet be represented as ( A bracelet and a necklace)
if Tominka uses 6 1/9 inches of wire to make a necklace and 3 1/3 of wire to make a bracelet for a set
Then Total Length of wire that can be used for a set = 6 1/9 inches+ 3 1/3 inches = 9 (1+ 3)/9
= 9 4/9 inches.
Step 2
IF a set (One necklace and bracelet) can use = 9 4/9 inches
and Total wire used = 28 1/3inches
Then Number of necklaces and bracelet sets that can be made from the 28 1/3 inches wire = 28 1/3inches /9 4/9 inches
=85/3 / 85/ 9 = 85/3 x 9/ 85 = ( 85 cancels 85 )
9/3 = 3
3 necklaces and bracelet sets can be made from the 28 1/3 inches of wire.