Answer:
1/2
Step-by-step explanation:
there is two side of a coin, so there is a 1/2 chance that you will head heads.
A coin has two sides, one side is heads, and the other is tails. Since there are 2 sides the probability of getting either heads or tails is 1/2. Therefore, the probability of flipping a coin and getting heads is C) 1/2.
Best of Luck!
What is the answer for -2/5(n + 3) = 10?
Answer: n=-28
Step-by-step explanation:
Answer:
-28
Step-by-step explanation:
1) distribute "-2/5" to each term inside the parentheses:
-2/5(n+3)=10
-2/5n+-6/5=10
add "6/5" on both sides
-2/5n-6/5+6/5=10+6/5
-2/5n=50/5+6/5
-2/5n=56/5
divide both sides by "-2/5"
n=-28
hope this helps
Darla and her friend penny left their office at the same time and began traveling down the same road in the same direction. Darla traveled at a speed of 65 mph while Penny drive at 70 mph. How many hours was it before Penny was 5 miles ahead of Darla?
Answer:
The number of hours was it before Penny was 5 miles ahead of Darla is 1 hour.
Step-by-step explanation:
Given : Darla and her friend penny left their office at the same time and began traveling down the same road in the same direction. Darla traveled at a speed of 65 mph while Penny drive at 70 mph.
To find : How many hours was it before Penny was 5 miles ahead of Darla?
Solution :
The formula used - [tex]\text{Distance}=\text{Speed}\times \text{Time}[/tex]
Darla traveled at a speed of 65 mph.
Penny drive at 70 mph.
Let x be the number of hours taken by both.
Distance covered by Darla is [tex]d_1= 65\times x=65x[/tex]
Distance covered by Penny is [tex]d_2= 70\times x=70x[/tex]
According to given statement; Penny was 5 miles ahead of Darla
i.e. [tex]d_2-d_1=5[/tex]
[tex]70x-65x=5[/tex]
[tex]5x=5[/tex]
[tex]x=\frac{5}{5}[/tex]
[tex]x=1[/tex]
The number of hours was it before Penny was 5 miles ahead of Darla is 1 hour.
You might need:
Factor as the product of two binomials.
36 - x^2=
Answer:
(6+x)(6-x)
Step-by-step explanation:
Use the difference of squares formula: a^2-b^2=(a+b)(a-b)
Here, a is 6 and b is x, so you just substitute it into the formula
Final answer:
To factor the expression 36 - x², we recognize it as a difference of squares and use the identity a² - b² = (a + b)(a - b) to get (6 + x)(6 - x).
Explanation:
The question involves factoring the expression 36 - x^2 as the product of two binomials. To factor this expression, observe that it has the form of a difference of squares. The difference of squares can be factored using the identity a² - b² = (a + b)(a - b). In this case, a^2 is 36 and b² is x², where a is 6 and b is x. Therefore:
36 - x² = (6² - x²) = (6 + x)(6 - x)
This is the factored form of the given expression as the product of two binomials.
The ratio of bananas to apples was 2 to 3. If there where 18 bananas how many apples where there
Answer:
There were 27 apples.
Step-by-step explanation:
Set a ratio of bananas to apples like this:
bananas/apples = 2/3
Now you have 18 bananas. The number of apples is unknown, so use "a" for the number of apples.
bananas/apples = 18/a
The two ratios above are equal, so set them equal. That creates a proportion.
2/3 = 18/a
Now we solve for a by cross multiplying.
2a = 3 * 18
2a = 54
a = 27
Answer: There were 27 apples.
Wut is circumference
The length of the outer edge of a circle
Answer:
Circumference is the distance around the outside of a circle
Step-by-step explanation:
While mining, Joan found a large metal bar that weighted 40 grams. Joan was able to determine that the bar contained 35% zinc. How many grams of zinc are in the metal bar? Round you answer to the nearest whole number if necessary.
Answer:
14g zinc
Step-by-step explanation:
To get the mass of zinc in the metal bar, you can multiply the percentage of zinc by the total mass.
40g x .35 = 14g zinc
The metal bar contains 14 g zinc in the 40 grams metal bar.
What are percentages?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”
Given here: A metal bar weighs 40 grams and it contains zinc equivalent to 35%
Let the weight of the zinc contained in the metal be x
Then we have x=35/100×40
=14 grams
Hence, The metal bar contains 14 g zinc in the 40 grams metal bar.
Learn more about percentages here:
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Factor the expression completely.
20x-16
Answer:
4(5x-4)
Step-by-step explanation:
4 is the common factor of 20 and 16 so it will stay outside the bracket. The left out is 5, x and 4. this forms the expression above.
There are 500 students in a high school senior class. Of these 500 students, 300 regularly wear a necklace to
school, 200 regularly wear a ring, and 125 regularly wear a necklace and a ring. Using this information, answer
each of the following questions.
Let N be the event that a randomly selected senior regularly wears a necklace and R be the event that a
randomly selected senior regularly wears a ring.
What is P(N), the probability that a senior wears a necklace?
What is P(R), the probability that a senior wears a ring?
What is P(N and R), the probability that a senior wears a necklace and a ring?
What is P(N or R), the probability that a senior wears a necklace or a ring?
Show Calculator
Answer:
1. P(N) = 3/5
2. P(R) = 2/5
3. P(N and R) = 1/4
4. P(N or R) = 3/4
Step-by-step explanation:
1. Let's review the information given to us to answer the problem correctly:
Number of students in a high school senior class = 500
Number of students that regularly wear a necklace = 300
Number of students that regularly wear a ring = 200
Number of students that wear a necklace and a ring = 125
2. What is P(N), the probability that a senior wears a necklace?
Let's recall the formula of probability:
Probability = Number of favorable outcomes/Total of possible outcomes
Substituting with the real given values:
P(N) = 300/500 = 3/5 (Dividing by 100 numerator and denominator)
P(N) = 3/5
3. What is P(R), the probability that a senior wears a ring?
Substituting with the real given values:
P(R) = 200/500 = 2/5 (Dividing by 100 numerator and denominator)
P(R) = 2/5
4. What is P(N and R), the probability that a senior wears a necklace and a ring?
Substituting with the real given values:
P(N and R) = 125/500 = 1/4 (Dividing by 125 numerator and denominator)
P(N and R) = 1/4
5. What is P(N or R), the probability that a senior wears a necklace or a ring?
P(N or R) = P(N) + P(R) - P(N and R)
Substituting with the real given values:
P(N or R) = 3/5 + 2/5 - 1/4
P(N or R) = 5/5 - 1/4
P(N or R) = 1 - 1/4
P(N or R) = 3/4
The probabilities are:
P(N) = 0.6
P(R) = 0.4
P(N and R) = 0.25
P(N or R) = 0.75.
Let's solve the given probabilities step-by-step using the provided information.
Step 1: Calculate P(N)
The probability that a senior wears a necklace, P(N), is calculated by dividing the number of students wearing a necklace by the total number of students.
P(N) = 300 / 500 = 0.6Step 2: Calculate P(R)
The probability that a senior wears a ring, P(R), is calculated similarly by dividing the number of students wearing a ring by the total number of students.
P(R) = 200 / 500 = 0.4
Step 3: Calculate P(N and R)
The probability that a senior wears both a necklace and a ring, P(N and R), is given directly in the problem.
P(N and R) = 125 / 500 = 0.25
Step 4: Calculate P(N or R)
The probability that a senior wears either a necklace or a ring is given by the formula:
P(N or R) = P(N) + P(R) - P(N and R)P(N or R) = 0.6 + 0.4 - 0.25 = 0.75An automobile factory,1849 parts are made in 4 hours.what is the average rate at which parts are made per hour?
Answer:
There are 462.25 parts being made per hour
Step-by-step explanation:
Step 1: Make an equation
An automobile factory, 1849 parts are made in 4 hours.
1849 / 4 = x
Step 2: Solve
1849 / 4 = x
462.25 = x
Answer: There are 462.25 parts being made per hour
To find the hourly rate the parts are made, just divide.
1,849 / 4 = 462.25 parts made per hour.
Best of Luck!
HELP PLEASEEE
Find the slope
A.1/3
B.-1/3
C.2/3
D.-2/3
Answer:
2/3
Step-by-step explanation:
It moves to the right 3 and up 2.
Answer:
Step-by-step explanation:
the answer would be 2/3
Which of the following will form the composite function GFx)) shown
below?
G(F(x)) = 3(x+1)
A. Ax) = 3x and g(x) = vx+1
B. Fx) = x3x and g(x) = 1
c. F(x) = 5x +1 and G(x) = 3x
D. F(x) = x+1 and g(x) = 13x
SUBMIT
The functions which will form the composite function G(F(x)) = 3(x + 1) are F(x) = x + 1 and G(x) = 3x.
Given is a composite function,
G(F(x)) = 3(x + 1)
We have to find the functions G(x) and F(x).
G(F(x)) means that F(x) is substituted instead of x in G(x).
Let G(x) = 3x and F(x) = x + 1
In the composite function G(F(x)), F(x) = x + 1 is substituted in place of x in G(x).
So,
G(F(x)) = 3(x + 1)
Thus, F(x) = x + 1 and G(x) = 3x
Learn more about Composite Functions here :
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Final answer:
To find the composite function GF(x) from the given equation, identify the functions F(x) and G(x) and match them with the answer choices to determine the correct option, which is C.
Explanation:
The composite function GF(x) is calculated by substituting F(x) into G(x).
Identify F(x) and G(x) in the given equation, G(F(x)) = 3(x+1), which corresponds to F(x) = x+1 and G(x) = 3x.
Comparing them with the answer choices, the correct option is C. F(x) = 5x + 1 and G(x) = 3x.
Therefore, the composite function GF(x) is formed by F(x) = 5x + 1 and G(x) = 3x.
Solve.
The cost of having a package delivered by Quick Bicycle
Delivery is a function of the weight of the package. The
graph of this function is shown
What does the slope
represent in the
function?
Cost of Delivery
25
Weight (lb)
Tell whether each statement is True or False.
a. When the weight is greater
than 15 pounds, the cost
will be greater than $10.
b. An equation that represents
this graph is y * +0.6.
c. The slope is 1
d. The cost of delivery decreases
by $0.60 for each pound the
weight decreases
o True
True
True
I False
False
False
True
False
Answer:
Step-by-step explanation:
true
true
false
true
true
false
true
false
If the distance from a plane to a radar station is 160 miles and the angle of depression is 34 degrees, find the number of ground miles from a point directly below the plane to the radar station.
Answer:
194
Step-by-step explanation:
Final answer:
To find the ground miles from a point below the plane to the radar station given the distance and angle of depression, use trigonometry to calculate the ground distance, which is approximately 107.2 miles.
Explanation:
The number of ground miles from a point directly below the plane to the radar station can be found using trigonometry. Given the distance from the plane to the radar station (160 miles) and the angle of depression (34 degrees), we can use the tangent function.
Calculate the distance on the ground using the formula: Ground distance = 160 x tan(34°).
Ground distance = 160 x tan(34°) ≈ 160 x 0.67 = 107.2 miles.
If KC = 31, what is KN?
Answer:
If KC = 31 then KN = 33
Step-by-step explanation:
True or false? Explain.
If f = {(1, 1), (2, 4), (3, 9)}, then f(5)=25
the answer is false (online system) but i dont know why
pls help stuck on HW
A catapult is designed to launch circus performers from a raised platform. After launch, the height of the performer in feet is given by h left parenthesis t right parenthesis equals minus 16 t squared plus 80 t plus 32 where t is seconds after launch. After how many seconds is the performer exactly 100 feet above the ground? Round to the nearest tenth of a second.
Answer:
t = 1.1 sec for first time and then in
t = 3.9 sec
Step-by-step explanation:
The function for the height of the circus performers is:
[tex]h(t) = -16t^{2} +80t +32[/tex]
where t is seconds after launch
h is height in feet
For calculating after how many seconds is the performer at 100 feet above the ground, we must equal the equation to 100 and to find t:
Then,
[tex]100 = -16t^{2} +80t+32[/tex]
[tex]0 = -16t^{2}+80t -68[/tex]
[tex]t = \frac{-80\ \pm \\\sqrt{80^{2}-4(-16)(-68) } }{2(-16)}[/tex]
t = 3.9 sec
t = 1.1 sec
To make dough, Reba needs 2 1/2 cups of flour. How much flour does she need to make 5 batches of dough?
Answer:
12 1/2 cups of flour
Step-by-step explanation:
2 1/2 cups for each batch
5 batches
2 1 /2 x 5 =
12 1 /2
Each marble bag sold by Karen's Marble Company contains 3 blue marbles for every 5 yellow marbles. If a bag has 45 yellow marbles, how many blue marbles
does it contain?
Answer:
27
Step-by-step explanation:
5/3 = 45/X
X = 27
Answer:
27 Blue marbles
Step-by-step explanation:
3 Blue marbles = 5 Yellow marbles
x = 45
(x multiply by 5) = 45 x 3
5x = 135
x = 135/5
x = 27 Blue Marbles
Consider the triangle. Right triangle A B C. Side A C is 24 centimeters, C B is 10 centimeters, and hypotenuse A B is c. Find the length of the hypotenuse, c. The length of the hypotenuse is cm.
Answer: The length of the hypotenuse is 26 cm
Step-by-step explanation: Please refer to the attached diagram
The triangle ABC is drawn as described such that the right angle is at point C and line AB is the hypotenuse which is yet unknown.
Since we have a right angled triangle with two sides known and one unknown, we can apply the Pythagoras theorem which states that
AC² = AB² + BC² where AC is the hypotenuse and AB and BC are the other two sides
In this question the hypotenuse is AB, so we now have;
AB² = AC² + CB²
AB² 24² + 10²
AB² = 576 + 100
AB² = 676
Add the square root sign to both sides of the equation
√AB² = √676
AB = 26
Therefore the length of the hypotenuse is 26 cm
Answer:
26 cm is the answer
Step-by-step explanation:
i got the question right
Cos(x+y) if tan x=5/3 and sin y=1/3
Answer:
Exact Form:
tan(x)=5/3
Decimal Form:
tan(x)=1.¯6
Mixed Number Form:
tan(x)=12/3 mixed number
Step-by-step explanation:
The sum of 0.8 and 0.04 can be written as a fraction where the numerator and the denominator are both positive integers. When the numerator and the denominator are both divided by their greatest common factor, what is the sum of the numerator and the denominator of the resulting fraction?
Answer: 0.84 as a fraction is 84/100
Greatest common factor is 4
Resulting fraction is 21/25
Addition of numerator and denominator of the resulting fraction is 46
Step-by-step explanation:
From the question, the sum of 0.8 and 0.04 is written as 0.8 + 0.04 = 0.84
Convert 0.84 to fraction = 84/100
The numerator and denominator in 84/100 are both positive integers.
The greatest common factor to the numerator and denominator is 4
Divide 84 by 4 = 21
Divide 100 by 4 = 25
Therefore, the resulting fraction is 21/25
Addition of 21 and 25 equals 46.
I hope this helps.
What is the answer for -12+x/11=-3
Answer:
x = 99
Step-by-step explanation:
Step 1: Solve for x
-12 + x/11 + 12 = -3 + 12
x/11 * 11 = 9 * 11
x = 99
Answer: x = 99
(Copied and pasted because no time) EXTREMELY URGENT! I'm in a timed math test atm, and I need answers for lots of questions! Look at the pictures posted, ignore my answer, as I am not confident in it, I just dont have time to leave the questions blank
Answer: I think the answer is D too just saying cuz I’m not sure either
Step-by-step explanation:
(9x+13)^2=49
Solve the quadratic equation given below.
Answer:
x=(-2/3)
Step-by-step explanation:
(9x+13)^2=49
√(9x+13)^2=√49
9x+13=7
9x+13-13=7-13
9x=-6
9x÷9=-6/9
x=-6/9
-6/9=-2/3
Answer:
x = -2/3; -20/9
Step-by-step explanation:
A positive number is 30 less than its square. Find the number.
Answer:
6
Step-by-step explanation:
6+30=36
6^2=36
Answer:
the positive number is equal to 6.
Step-by-step explanation:
from the question which says A positive number is 30 less than its square. Find the number.
let the number be "n"
and the square of the number = n²
So, we have the expression to be
n = n²-30
n ²-30 -n =0
Re-arrange the equation
n²-n-30=0
the factors of -30 are 5 and -6
so we have
(n+5)(n-6)=0
n+5 =0
n = -5
or
n-6 =0
n = 6
therefore the number can either be -5 or 6.
note we are asked to find the positive number , so the positive number is 6
Find x.
5x - 20
A x=90
B x=35
C x=14
D x= 22
What is the solution to this system of equations? y = x - 20 x + y = 84
Answer:
(52, 32 )
Step-by-step explanation:
Given the 2 equations
y = x - 20 → (1)
x + y = 84 → (2)
Substitute y = x - 20 into (2)
x + x - 20 = 84, that is
2x - 20 = 84 ( add 20 to both sides )
2x = 104 ( divide both sides by 2 )
x = 52
Substitute x = 52 into (1) for corresponding value of y
y = 52 - 20 = 32
Solution is (52, 32 )
The New York Times newspaper publishes one issue each day during the
year. What is the Order of Magnitude for the number of issues of the New
York Times published each year?
Answer:
The Order of Magnitude for the number of issues of the New York Times published each year is 2.
Step-by-step explanation:
Given that the newspaper publishes one issue each day and the year has 365 days, then it publishes 365 issues each year.
365 can be rewritten, with scientific notation, as: 3.65*10^2, which means it has 2 orders of magnitude (it is indicated in the exponent).
Select the most SPECIFIC name for this shape
O Square
O Rhombus
O
Rectangle
O Parallelogram
sandy has 56cents. she bought candy for 25cents how much money does she have left
Answer:
31 cents left
Step-by-step explanation:
56-25=31