Answer:
-2/3
Step-by-step explanation:
Alan has 3 quarters and 7 dimes in his pocket. If he takes out a coin, puts it back in his pocket, and then takes out a coin again, what is the probability that both coins are dimes?
Answer:
Probability of picking a dime both times = (7/10)^2 = 49/100, or 0.49
Step-by-step explanation:
Picking with replacement, twice from 3 quarters and 7 dimes.
Probability of picking a dime each time = 7/10.
Probability of picking a dime both times = (7/10)^2 = 49/100, or 0.49
Write 99 as a product of primes.
Use index notation when giving your answer.
Do
Answer:
99 = 3² * 11
Step-by-step explanation:
99 = 3 * 3 * 11
99 = 3² * 11
99 as a product of primes is, 99 = 3² * 11
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
To Write 99 as a product of primes,
we get,
99 = 3 * 3 * 11
99 = 3² * 11
Hence, 99 as a product of primes is, 99 = 3² * 11
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ2
Which best describes the domain and range of the function y = = 4x²?
Answer:
Domain: (-infinity, infinity)
Range: [0, infinity)
Step-by-step explanation:
y = 4x^2 is a quadratic function whose parabolic graph goes through (0, 0) and opens upward. (0, 0) is both the vertex and the minimum of this function and graph. Here x can take on any value, but y is limited to [0, infinity).
Which triangle’s unknown side length measures 7 units?
Answer:4
Step-by-step explanation:
Given that a : b= 8:5 and 6: c= 3: 4,
find the ratio a : 6:c
Give your answer in its simplest form.
(3 marks)
HELP PLEASE HURRY AAAAAeeeee
Answer:
300+12x = 450
or
B. 12x+300 = 450
Remy orders 5 pizzas. If each person gets 1/4 of a pizza, how many people can Remy feed?
Answer:5
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
Each pizza Remy can feed 4 people.
Remy has 5 pizzas.
4x5=20
Find the slope of the line that passes through the
points (-3,5) and (3, 1).
Answer:
Slope = -2/3
Step-by-step explanation:
Slope = change in y / change in x OR the rise/run
Slope = (5 - 1)/(-3 -3)
Slope = 4/-6
Slope = -2/3
Hope this helped!
Solution :
As we know that,
[tex] \boxed{\red{\bf{Slope \: (m) \: = \: \dfrac{y_{2} \: - \: y_{1} }{x_{2} \: - \:x_{1}} }}} \: \bigstar[/tex]We have :
[tex]\sf{x_1 \: = \: -3}[/tex][tex]\sf{y_1 \: = \: 5}[/tex][tex]\sf{x_2 \: = \: 3}[/tex][tex]\sf{y_2 \: = \: 1}[/tex]Substituting the values :
[tex] \longmapsto \: \sf{Slope \: (m) \: = \: \dfrac{1 \: - \: 5 }{3 \: - \: ( - 3)} } \\ \\ \longmapsto \: \sf{Slope \: (m) \: = \: \dfrac{1 \: - \: 5 }{3 \: + \: 3} } \\ \\ \longmapsto \: \sf{Slope \: (m) \: = \: \dfrac{ - 4}{6} } \\ \\ \longmapsto \: \sf{Slope \: (m) \: = \: \cancel\dfrac{ - 4}{6} } \\ \\ \longmapsto \: \bf{ \orange{Slope \: (m) \: = \: \dfrac{ - 2}{3} }}[/tex]
Find the expression different from the others. Do this by showing that the other four are equivalent to each other using the properties of exponents. (4 points)
A)2^4x+2
B)4•16^x
C)2+4^4x
D)2^2 • 4^x (over) 4^-x
E)4^2x+1
Answer:
C) 2+4^4x
Step-by-step explanation:
A) 2^(4x+2) = 2^4x • 2² = 16^x • 4
B) 4 • 16^x = 16^x • 4 (already done)
D) 2^2 • 4^x (over) 4^-x
= 4 • 4^x • 4^x = 16^x • 4
E) 4^(2x+1) = 4^2x • 4¹ = 16^x • 4
please help me ASAP I WILL GIVE U BRAINLIEST!
Answer:
[tex]\sqrt{13}[/tex]
Step-by-step explanation:
Given a vector < x, y > then its magnitude is
[tex]\sqrt{x^2+y^2}[/tex]
Given the directed line segment
P (0, 0 ) → Q (3, 2 ) then
PQ = q - p = (3, 2 ) - (0, 0 ) = < 3 - 0, 2 - 0 > = < 3 , 2 >
| PQ | = [tex]\sqrt{3^2+2^2}[/tex] = [tex]\sqrt{9+4}[/tex] = [tex]\sqrt{13}[/tex]
200 students appeared in an examination. If 25% of student passed the examination, find the number of student who failed in the examination
a. 150
b. 100
c. 275
d. 175
Answer:
150 students failed
25% of 200 is 50 therefore 200-50 (50 being the amount of students passed) would be 150
Answer:
A 150student will fail the examination
I need help with this question
Answer:
the number that goes there is 7
Step-by-step explanation:
A PQR = A STU. Find the lengths of the sides PQ, TU, and SU.
P
S
10 in
7 in
8 in
R
T
U
[mark all correct answers]
O a. PQ = 10 in
O b. TU = 8 in
O c. SU = 6 in
O d. TU = 10 in
O e. PQ = 8 in
O f. SU = 7 in
measure using the object
3.
Find the value of x. If necessary, round to the nearest tenth.
A. 7.0 in.
B. 11.9 in
C. 9.9 in.
D. 14.0 in
Answer:
C. 9.9 in.
Step-by-step explanation:
Step-by-step explanation:
Alright, lets get started.
Area is given as 49 square inches.
The formula for area A =
base is given as x
Height is given as x
Hence area is A
A =
Multiplying 2 in both sides
Taking square root on both sides
hence the answer is x = 9.9 in : Answer
Hope it will help :)
The value of x is 9.9 in.
Solution:
The given image is a triangle.
Base of the triangle = x
Height of the triangle = x
Area of the triangle = 49 sq. in
To find the value of x:
Area of the triangle =
Substitute the given values in the formula.
Multiply by 2 on both sides, we get
Taking square root on both sides, we get
⇒ x = 9.9 in
Hence the value of x is 9.9 in.
For his phone service, Deshaun pays a monthly fee of $17, and he pays an additional $0.04 per minute of use. The least he has been charged in a month is $67.44.
Sarah was thinking of a number. Sarah adds 5.1 to the number, then doubles the result to get an answer of 50.5. Form an equation with
x
from the information.
Answer:
Im not sure but i think it might be: 2(x+5.1)=50.5
Step-by-step explanation:
2(x+5.1)=50.5
7
45°
X
Find the value of x . Write your answer in simplest form.
Answer:
7√2
Step-by-step explanation:
From the diagram given;
Hypotenuse = x
Opposite = 7
Angle = 45 degrees
According to SOH CAH TOA identity
Sin theta = opposite/hypotenuse
Sin 45 = 7/x
x = 7/sin45
x = 7/1/√2
x = 7 * √2/1
x = 7√2
Hence the value of x is 7√2
What is the completely factored form of this polynomial? 7x4 + 14x3 − 168x2 A. 7x3(x + 4)(x − 6) B. 7x2(x + 4)(x − 6) C. 7x2(x − 4)(x + 6) D. 7x3(x − 4)(x + 6)
Answer:
7x^2*(x-4)*(x+6)
Step-by-step explanation:
7x^4 + 14x^3 - 168x^2
common factor 7x^2
7x^2*( x^2+2x-24)
now we factor ( x^2+2x-24)
(x-4)*(x+6)
Solution
7x^2*(x-4(*(x+6)
The factorized form 7x²(x-4)(x+6) of the polynomial 7x⁴ + 14x³ - 168x².
What is polynomial ?
The polynomial is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that perform arithmetic operation are called arithmetic operators .
Operators which let do basic mathematical calculation
+ Addition operation : Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation : Subtracts right hand operand from left hand operand.
for example 4 -2 = 2
* Multiplication operation : Multiplies values on either side of the operator
For example 4*2 = 8
Given polynomial as:
7x⁴ + 14x³ - 168x²
There is a common factor 7x²
7x²( x² + 2x - 24)
To determine the factor of ( x² + 2x - 24)
⇒ 7x²( x² + 2x - 24)
⇒ 7x²( x² + 6x - 4x -24)
⇒ 7x²[x(x+6) - 4(x+6)]
⇒ 7x²(x-4)(x+6)
Hence, the factorized form 7x²(x-4)(x+6) of the polynomial 7x⁴ + 14x³ - 168x².
Learn more about polynomial here:
brainly.com/question/13947055
#SPJ2
May someone solve and give explanation
Answer:
θ = 49.4584°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cosθ = adjacent over hypotenuseInverse TrigStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = ?
Adjacent Leg = 13
Hypotenuse = 20
Step 2: Find Angle
Substitute in variables [cosine]: cosθ = 13/20Inverse Trig: θ = cos⁻¹(13/20)Evaluate: θ = 49.4584°help please ??????????????
Answer:
620.63
Step-by-step explanation:
use the formula given
r= interest rate
n= numer of times it's compounding in a year
t= time
p= principle amount
[tex]400(1+\frac{.04}{12})^{12*11}=620.628[/tex]
Jin sells concert tickets at the theater box office. The ratio of student tickets to adult tickets sold is 4 : 5. Each student ticket costs $5, and each adult ticket costs $7. Jin sells 189 tickets altogether. Part A: How many student tickets does Jin sell? How many adult tickets? Explain your reasoning. Part B: How much more money does Jin receive from selling adult tickets than from selling student tickets? Explain your reasoning
Answer:
Part A: 84, 105
Part B: $315
Step-by-step explanation:
Part A:
4 student tickets + 5 adult ticekts = 9 tickets
The ratio of student tickets to adult tickets to total tickets is
4 : 5 : 9
He sold x times more tickets than the numbers on the ratio.
He sold 9x tickets.
9x = 189
x = 21
Student tickets:
4x = 4(21) = 84
He sold 84 student tickets.
Adult tickets:
5x = 5(21) = 105
He sold 105 adult tickets.
Part B:
Student tickets:
He sold 84 student tickets at $5 each.
The amount of money from the sale of student tickets is:
84 * $5 = $420
Adult tickets:
He sold 105 adult tickets at $7 each.
The amount of money from the sale of adult tickets is:
105 * $7 = $735
Difference:
$735 - $420 = $315
84 student tickets, 105 adult tickets were sold by Jin and $315 more money does Jin receive from selling adult tickets than from selling student tickets
What is Equation?Two or more expressions with an Equal sign is called as Equation
The ratio of student tickets to adult tickets sold is 4 : 5
4 student tickets + 5 adult ticekts = 189
4x+5x=189
9x = 189
Divide both sides by 9
x = 21
The number of Student tickets:
4x = 4(21) = 84
Jin sold 84 student tickets.
Adult tickets:
5x = 5(21) = 105
Jin sold 105 adult tickets.
Part B:
He sold 84 student tickets at $5 each.
The amount of money from the sale of student tickets is:
84 * $5 = $420
Adult tickets:
He sold 105 adult tickets at $7 each.
The amount of money from the sale of adult tickets is:
105 * $7 = $735
Difference:
$735 - $420 = $315
Hence 84 student tickets, 105 adult tickets were sold by Jin and $315 more money does Jin receive from selling adult tickets than from selling student tickets
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
A circular flower bed is 19m in diameter and has a circular sidewalk around it that is 3m wide. Find the area of the sidewalk in square meters. Use 3.14 for pi.
The area of the sidewalk ____ m².
Area of the circular sidewalk around flowerbed is 207.24 m² .
What is area?Area is the amount of space occupied by a two-dimensional shape. That is, it is a quantity that measures the number of unit squares that cover the surface of a closed figure. Standard area unit is square unit.
Given,
Diameter of flowerbed = 19m
radius = diameter/2 = 19/2 = 9.5 m
Area of flower bed A
= πr²
= 3.14(9.5)²
= 3.14(90.25)
= 283.385 m²
width of the sidewalk = 3m
radius of flower bed with sidewalk = 9.5 + 3 = 12.5m
Area of flower bed with sidewalk A'
= 3.14(12.5)²
= 3.14(156.25)
= 490.625 m²
Area of the sidewalk
= A' - A
= 490.625 - 283.385
= 207.24 m²
Hence, 207.24 m² is area of the circular sidewalk around flowerbed.
Learn more about area here:
brainly.com/question/27683633
#SPJ7
237 Square meters in Square millimeter?
Answer:
230,000,000
Step-by-step explanation:
because you multiply the area value by 1000000
Quadrilateral ABCD is a parallelogram. If adjacent angles are congruent, which statement must be true?
Answer:
Step-by-step explanation:
A parallelogram is a shape that has two sets of parallel. There are a number of examples of parallelogram including but not limited to, square, rectangle, rhombus etc
From the question, the answer is, the shape is a rectangle. This is because the question says that the shape has its adjacent angles congruent, this means that they are supplementary(i.e they add up to 180). A rectangle is the one who fits the perfect description
A rectangle in the coordinate plane has vertices at (-1, 6), (-1, 2), (4, 2), and (4, 6). The perimeter of the rectangle is Choose... units. The area of the rectangle is Choose... square units.
Answer:
perimeter = 18 units
area = 20 square units.
Step-by-step explanation:
We know that a rectangle is defined by two measures, length L, and width W.
Such that the perimeter is given by:
P = 2*(L + W)
and the area is given by:
A = L*W
Here we know that the vertices of or rectangle are:
(-1, 6)
(-1, 2)
(4, 2)
(4, 6)
Here you can see that we have just two different values of x (-1 and 4) and two different values of y (6 and 2)
So we can define the length L as the difference between the two different values of x:
L = 4 - (-1) = 4 + 1 = 5 units
And the width as the difference between the two different values of y:
W = 6 - 2 = 4 units
A graph of the rectangle can be seen below, to see why I choose to define the length and width in this way.
Now that we know the measures of our rectangle, and using the above formulas for perimeter and area, we get:
P = 2*(W + L) = 2*(5 + 4) = 18 units
A = W*L = 5*4 = 20 square units
PLLEASEEEEEEEEEEEEEEEEE HELPPPPPPPPPP!!!! ill brainlist/ rate u 5 star.
A ramp is used so a trolley can be wheeled on to a platform.
The cross-section of the ramp is drawn as a right-angled triangle with
the unknown height labelled as x.
1 Is the unknown length in this triangle (shown as x) the length of
the hypotenuse? Explain ur answer.
Answer:
The hypotenuse is sqrt ( 2x^2)
Step-by-step explanation:
Given a right angled triangle, we can find the hypotenuse of a triangle using the Pythagorean theorem which says that c^2 = a^2 + b^2, where a is the length, b is the perpendicular height and c is the hypotenuse. The length of the triangle (l) is x and the height of the triangle is also x. By substituting the values,
c^2 = x^2 + x^2 = 2x^ 2
There are two possible answers to c but the hypotenuse cannot be negative.
Hence,
c = Sqrt (2x^2)
Find the measurements of ZBOC.
A
5xº
A
B
(2x+20)°
C
O ZBOC= 40
O ZBOC = 10
O ZBOC= 50°
O ZBOC= 90°
Answer:
∠ BOC = 40°
Step-by-step explanation:
∠ AOC = 90° , then
5x + 2x + 20 = 90
7x + 20 = 90 ( subtract 20 from both sides )
7x = 70 ( divide both sides by 7 )
x = 10
Then
∠ BOC = 2x + 20 = 2(10) + 20 = 20 + 20 = 40°
PLease help me with this
Answer:
x=5
Step-by-step explanation:
45=9x
45/9=x
5=x
Drag the tiles to the correct boxes to complete the pairs.
Using the properties of Integer exponents, match each expression with the correct equivalent expression.
(-22)-0 (2-5)-4
(-2-4-2. (22)
(22)² (23) - 3
24. (22)-2
2-32
2-5
Answer:
Plz excuse my handwriting ☺️
Which of the following systems has infinitely many solutions?
a: -y=-4-3x
6x=2y-8
b: y=x+2
7=-x+y
c: x+y=15
3x-2y=3
d: x=y-8
-x-y=0
Answer:
d
Step-by-step explanation:
