Answer:
The probability that an odd number is rolled and a head shows is 1/4
Step-by-step explanation:
In a fair due, the possible results are 1,2,3,4,5,6
The odd numbers we have are 1,3 and 5
We can see we have 3 odd numbers
The probability of selecting odd number is the count of odd numbers divided by the total possible results which is 3/6 = 1/2
For a coin, there are equal probabilities of a head showing or a tail showing and we have that probability as 1/2
So the probability that we have an odd number and a head showing up will be;
1/2 * 1/2 = 1/4
Use an algebraic approach to solve the problem.
Judy bought a coat at a 10% discount sale for $63. What was the original price of the coat?
Answer:
$70
Step-by-step explanation:
essentially, Judy paid 90% of the original price
therefore you can write this equation where 'x' equals the original price:
.9x = 63
x = 63/.9
x = 70
What is the equation of the line perpendicular to y=5/4x-10 and passes through the point (11,6)?
Answer:
[tex]y=-\frac{4}{5}x+\frac{74}{5}[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is equal to 0)Perpendicular lines always have slopes that are negative reciprocals (ex. 3 and -1/3, 5/6 and -6/5, etc.)1) Determine the slope (m)
[tex]y=\frac{5}{4} x-10[/tex]
From the given equation, we can identify clearly that the slope of this line is
[tex]\frac{5}{4}[/tex]. The negative reciprocal of [tex]\frac{5}{4}[/tex] is [tex]-\frac{4}{5}[/tex], so therefore, the slope of the line we're currently solving for is [tex]-\frac{4}{5}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-\frac{4}{5}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-\frac{4}{5}x+b[/tex]
Plug in the given point (11,6) and solve for b
[tex]6=-\frac{4}{5}(11)+b\\6=-\frac{44}{5}+b[/tex]
Add [tex]-\frac{44}{5}[/tex] to both sides to isolate b
[tex]6+\frac{44}{5}=-\frac{44}{5}+b+-\frac{44}{5}\\\frac{74}{5} =b[/tex]
Therefore, the y-intercept is [tex]\frac{74}{5}[/tex]. Plug this back into [tex]y=-\frac{4}{5}x+b[/tex]:
[tex]y=-\frac{4}{5}x+\frac{74}{5}[/tex]
I hope this helps!
Mr. Jubran goes to a restaurant and has a bill of $32.57. He uses a 10% off coupon
on the cost of the meal. The tax is 8%. He leaves a tip of 18% on the amount
before the coupon or tax applied. How much does he spend?
Answer:
$36.97
The cost of the meal was $32.57 and he used a 10% off coupon. You can make 10% equal to 0.1 because . Now do . This is the discount, so you want to subtract this from the original to get the actual price of the meal, .
The tax was 8% so this means he is adding
Can yall please help me with this, pls try to explain in it steps, ty.
Answer:
D
Step-by-step explanation:
First find the slope of the line. The two points I will use are (0, 3) and (4, 2).
(2-3)/(4-0) = -(1/4). In all the equations below, the number/co-efficient before x is the slope of the line. D is the correct answer because you can rearrange the right side of it to get y = -(1/4)x+2. The co-efficient of x is -(1/4) so D is the right answer. Hope this helps! :)
Answer: D
Step-by-step explanation:
In order to have the same slope, in y=mx+b form, the two "m" must be equal.
Step 1 is to find the slope of the graph through two points. I choose the points (0,3) and (4,2)
slope is y2-y1/x2-x1 so 3-2/0-4 = -1/4
Now find which equation has the m of -1/4 and that's your answer
Hint its D.
Help :( please help
Answer:
3x + 9
Step-by-step explanation:
it is always equal to its self
The number of points Marcus scored in different rounds of a computer board game is shown 236, 342, 328, 352, 352, 306, 317 What score does Marcus need in his next game to have a mean of exactly 325?
Answer:
583
Step-by-step explanation:
The mean of a data set is the average of the data set. It can be found by adding up all of the values and then dividing by the total number of values added. In this case, one is given the mean, and one needs to find a missing value. Since there is a missing element, add one to the total number of values in the data set. The missing element is represented by the parameter (x). Set up an equation and solve:
Simplify,
Inverse operations,
Daily income of 8 workers is Rs. 2400. How many workers will earn Rs.1800
Answer:
6 workers
Step-by-step explanation:
Number workers to earnings is direct proportion.
8: 2400 :: x : 1800
Product of means = Product of extremes
2400 * x = 8*1800
[tex]x = \frac{8*1800}{2400}\\\\x=6[/tex]
Answer:
6 workers will earn Rs. 1800.
Step-by-step explanation:
Given :-
Daily income of 8 workers is Rs. 2400.To find :-
How many workers will earn Rs.1800.Solution :-
Let
no. of workers will earn Rs. 1800 = x.
We need to write a ratio to solve.
8 = 2400x = 1800using cross products
8 × 1800 = x × 240014400 = 2400xDivide each side by 2400
14400/2400 = 2400x/24006 = xHence, 6 workers will earn Rs. 1800.
In each problem, angle C is a right angle. Solve each triangle rounding answers to the nearest
tenth.
2) c= 16, b=14
Answer:
B = 61°
A = 29°
a = 10
Step-by-step explanation:
We are given;
c = 16, b = 14
Since we are told that C is a right angle, it means that C = 90°
Thus using sine rule, we have;
c/sin C = b/sin B
16/sin 90 = 14/sin B
16/1 = 14/sin B
sin B = 14/16
sin B = 0.875
B = sin^(-1) 0.875
B ≈ 61°
Now, since C is a right angle, it means that c will be the hypotenuse of the triangle.
Thus, from pythagoras theorem, If the other side of the triangle is a, then;
a² + b² = c²
a² + 14² = 16²
a² = 16² - 14²
a² = 256 - 156
a² = 100
a = √100
a = 10
Since we know B and C, we can find A because sum of angles in a triangle is 180°.
Thus;
A = 180 - (B + C)
A = 180 - (61 + 90)
A = 29°
The diameter of a circle is 8 kilometers.
What is the circle's area?
PLEASE HELP
Answer:
[tex]area = \pi {r}^{2} \\ = \frac{22}{7} \times {( \frac{8}{2} )}^{2} \\ = 50.3 \: {km}^{2} [/tex]
6(b+1)=8
Solve for x
Answer:
b = 1/3
Step-by-step explanation:
6(b+1)=8
Solving for b
Distribute
6b +6 = 8
Subtract 6 from each side
6b+6-6 = 8-6
6b = 2
Divide by 6
6b/6 = 2/6
b = 1/3
a particle travels 24.6km in 30 minutes. find the speed of the particle in km/h
Answer:
49.2 km/h
Step-by-step explanation:
30 min times two equal an hour
24.6km times two equal 49.2 km/h
Hope this helps.
Pedro ordered a pizza. The pizza place charges $12 for a large pizza plus an additional $2.50 per topping. The total cost of Pedro's pizza was $22. Write and solve an equation to determine many toppings Pedro ordered.
Answer:
4 toppings
Step-by-step explanation:
22-12=10
2.50*?=10
2.50*4=10
4 toppings
Answer:
12+(2.50x)
12+(2.50*4)
12+(10)
22
Step-by-step explanation:
x stands for number of toppings
Find the measure of the exterior angle.
The measure of the exterior angle of the triangle is
Answer:
x =132
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
x = 46+86
x =132
Answer:
x=132 degree
Step-by-step explanation:
86 + 46 = x (sum of two interior opposite angle is equal to the exterior angle formed)
132 =x
therefore the value of x is 132 degree.
WILL MARK BRANLIEST AND YOULL GET 100 PTS!!!!!!Which two points satisfy y = -x2 + 2x + 4 and x + y = 4?
A. (0, 4) and (4, 0)
B. (0, 4) and (3, 1)
C. (7, -3) and (0, 4)
D. (7, -3) and (4, 0)
Answer:
It would be D or C.
Step-by-step explanation:
what is the area of the right triangle below
Answer:
8 units²
Step-by-step explanation:
The formula for the area of a triangle is a=[tex]\frac{bh}{2}[/tex], where a is area, b is base length, and h is height.
If we substitute b with 8 and 2 with h, we get a=[tex]\frac{2*8}{2}[/tex].
This can be immediately simplified to 8 by dividing both the numerator and denominator by 2.
**This content involves area of triangles, which you may wish to revise. I'm always happy to help!
Chang knows one side of a triangle is 13 cm. Which set of two sides iS possible for the lengths of the other two sides
of this triangle?
O 5 cm and 8 cm
• 6 cm and 7 cm 7
O 7 cm and 2 cm
• 8 cm and 9 cm
Answer:
8 cm and 9 cm by using a>b+c where a, b and c are sides of a triangle
Kyle's mother traveled the same 12 mile route as kyle, but she drove her car. During the first third, kyle's mother traveled at an average rate four times greater than kyle's. During the second third of the trip, she traveled at an average rate 4 miles less per hour less than the first third. During her last third of the trip, she traveled downhill at an average rate of 12 miles per hour greater than the second section. How long did it take kyle's mother to travel the same 12 miles by car that kyle traveled on his bike
Answer:
The time it would take Kyle's mum is given as follows;
[tex]t = \dfrac{3 \cdot v^2+ 2\cdot v - 2}{v \cdot (v - 1) \cdot (v + 2)}[/tex]
Where v = Kyle's average rate
Step-by-step explanation:
The details of Kyle's mother's journey are;
The distance she drove = 12 miles
Her speed during the first third (12/3 = 4 miles), v₁ = 4 × Kyle's speed, v
Her speed in the second third(between 4 and 8 miles), v₂ = v₁ - 4
Her speed in the last third, v₃ = v₂ + 12
∴ v₁ = 4·v
v₂ = v₁ - 4 = 4·v - 4
v₃ = v₂ + 12 = 4·v - 4 + 12 = 4·v + 8
∴ t₁ = (t/3)/4 = t/12 = 4/(4·v) = 1/v
t₂ = 4/(4·v - 4) = 1/(v - 1)
t₃ = 4/(4·v + 8) = 1/(v + 2)
The total time, t = t₁ + t₂ + t₃
∴ t = 1/v + 1/(v - 1) + 1/(v + 2) = [tex]\dfrac{3 \cdot v^2+ 2\cdot v - 2}{v \cdot (v - 1) \cdot (v + 2)}[/tex]
The time it would take Kyle's mum to travel the same 12 miles by car that Kyle traveled on his bike, t = [tex]\dfrac{3 \cdot v^2+ 2\cdot v - 2}{v \cdot (v - 1) \cdot (v + 2)}[/tex]
The number of goldfish in a tank is 12, and the volume of the tank is 45 cubic feet. What is the density of the tank?
0.27 goldfish per cubic foot
3.75 goldfish per cubic foot
33 goldfish per cubic foot
57 goldfish per cubic foot
Answer:
0.27 goldfish per cubic foot
Step-by-step explanation:
Find the density of the tank by dividing the number of goldfish by the volume of the tank:
12/45
= 0.27
So, the density of the tank is 0.27 goldfish per cubic foot
Answer:
0.27 is the answer
Step-by-step explanation:
I took the test :)
Is this true or false!!! Need help!
Answer:
false
Step-by-step explanation:
false
Answer:
it is false it'll be (-infinity,infinity )
Step-by-step explanation:
Hope this helps!! <3
The multiplicative inverse of 1
W
is:
Answer:W
Step-by-step explanation: The multiplicative inverse is the reciprocal of the number
Find the zero of the function f (x) = -2x +2.
Answer:0 = 3x - 21
Step-by-step explanation:
From this given function we can take an
x
common from its expression
i.e
x
2
−
6
x
=
x
(
x
−
6
)
As we know that the product of two numbers is zero,when either one of them is zero
then in the above expression that we just factorised
the function can be zero when either
x
=
0
or when
x
=
6
i.e when
x
=
0
,
0
(
0
−
6
)
=
0
when
x
=
6
,
6
(
6
−
6
)
=
6
(
0
)
Finally, our prize of all that math, the zeroes of the function are
0
and
6
these numbers are called the zeroes of the function because when you put these values in
x
the function gives zero.
Find the value of. X (will mark brainliest)
Answer:
[tex]x=30[/tex]
Step-by-step explanation:
[tex]5x=3x+60[/tex]
[tex]-3x[/tex] [tex]-3x[/tex]
[tex]2x=60[/tex]
[tex]/2[/tex] [tex]/2[/tex]
[tex]x=30[/tex]
Check:
[tex]5(30)=3(30)+60[/tex]
[tex]150=90+60[/tex]
[tex]150=150[/tex]
Hope this helps!
A film starts at 19:30 the film lasts 104 minutes at what time does the film end?
Answer:
Hello There!!
Step-by-step explanation:
I believe the answer is 21:14. Split 104 minutes so it will be easier to calculate so it's 60 and 44. 60 minutes is 1 hour so add 1 hour to 19:30 which is 20:30 then there is 44 minutes left. There is 30 minutes left to make it 21:00 so there is 14 minutes left at the end and add that to 21:00 which is 21:14.
hope this helps,have a great day!!
~Pinky~
If a film starts at 19:30 and lasts 104 minutes.
The film will end at 21:14.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Example:
x + y + 2 is an expression.
We have,
Film start time = 19:30
Duration of the film = 104 minutes
1 hour = 60 minutes
Multiply 104/60 on both sides
104/60 x 1 hour = 104/60 x 60 minutes
1.73 hours = 104 minutes
The time the film will end:
= 19:30 + 1.73 hours
= 19:30 + 1 hour + 44 minutes
= 21:14
Thus,
The film will end at 21:14.
Learn more about expressions here:
https://brainly.com/question/10978794
#SPJ2
The picture is above I’ll mark as brainliest.
Answer: B) [tex]25 ft^2[/tex]
Step-by-step explanation:
The figure is 5 blocks high and 5 blocks long.
That is 5x5 which is 25.
Each block is a foot squared so the final answer is [tex]25 ft^2[/tex]
Answer:
Answer is B. 25f squared
Step-by-step explanation:
5 down 5 across, multiply it.
A manufacturer of cream filled donuts collected data from its automatic filling process, the amount of cream inserted into the donuts is normally distributed. To make sure that the automatic filling process is on target, quality control inspectors take a sample of 25 donuts. The correct value of t* to construct a 99% confidence interval for the true mean amount of cream filling is ________. Group of answer choices 2.797 1.318 1.711 2.060 2.787
Answer:
The correct value is t* = 2.797.
Step-by-step explanation:
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 25 - 1 = 24
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a two-tailed confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.797.
A washing machine is packaged in a box that is one meter wide, 1.5 meters long and 1.75 meters tall. What is the surface area of the box?
Answer:
11.75 please give brainliest
Step-by-step explanation:
Calculate the volume of the following object (the length of the cube is 5 m):
Answer:
8m x 7m x 8m = 448m
what s 464657474+64736825483
Answer:
Correct answer of 464657474+64736825483 is 65201482957
The speed of an airplane is 885 km per hour. Find the distance covered by the airplane in 3 hours and 20 minutes. Also, express the distance in scientific notation. I will mark as brainliest if you give answer right
Answer:
[tex]2.95\cdot 10^3\:\mathrm{km}[/tex]
Step-by-step explanation:
Distance is given by [tex]D=st[/tex], where [tex]s[/tex] represents speed or rate and [tex]t[/tex] represents time.
What we're given:
speed of [tex]885\:\mathrm{km/h}[/tex] time of [tex]3.\overline{3}[/tex] hoursThus, the distance covered by the airplane is:
[tex]d=885\cdot 3.\overline{3}=2,950\:\mathrm{km}[/tex]
In scientific notation:
[tex]2,950\:\mathrm{km}\implies\boxed{2.95\cdot 10^3\:\mathrm{km}}[/tex]
Answer:
Distance = speed * time
The distance is:
885 * 3 20/60 = 885 * 3 1/3 = 885 * 10/3 = 2950 km2950 km = 2.95*10³ kmI'm struggling please help!
Answer:
Calculate the zero of the function.
Step-by-step explanation:
Plot two points, Connect them, Draw a straight line and make sure they line up.
