Answer:
general:162 reserved:834
Step-by-step explanation:
Solve by using substitution
In a class of 23 students, 16 have a brother and 15 have a sister. There are 11 students
who have a brother and a sister. What is the probability that a student chosen
randomly from the class is an only child?
Answer:
3/23Step-by-step explanation:
11 students have a brother and a sister16 students have a brother and 16 - 11 = 5 have a brother only15 students have a sister and 15 - 11 = 4 have a sister onlySo out of 23 students:
11 + 5 + 4 = 20 have a brother or sister or bothAnd therefore
23 - 20 = 3students have no brothers or sisters
The required probability is:
3/23Help pls I’ll give 50 points ! If right math ppl
[tex]f(x)=-3x[/tex]
Substitute x = 5 in the equation.
[tex]f(5)=-3(5)\\f(5)=-15[/tex]
Therefore, the answer is -15 or last choice when x = 5.
Please helpppppp
Given m
11
n, find the value of x and y.
(9x+1)
m
jo
(7x+13)
n
Answer:
x = 6
y° = 125°
Step-by-step explanation:
9x + 1 and 7x + 13 are alternate angles and has same measurement
9x + 1 = 7x + 13
9x - 7x = 13 - 1
2x = 12
x = 6
y° and 7x + 13 are supplementary angles so their sum is 180°
7x + 13 ➡ 7×6 + 13 = 55°
55 + y° = 180 subtract 55 from both sides
y° = 125°
Marisha wants to measure the volume of a rock. She pours water into a graduated cylinder and it measures 200 mL. Then she drops the rock in it, and measures the water level at 297.5 mL. The volume of the rock is the difference between the water level before and after. What is the volume of the rock
Answer:Volume of Rock= 97.5ml
Step-by-step explanation:
STEP 1
Finding the volume of rock using the graduated cylinder that measures volume of liquid can be done by determining how much water is being displaced by the rock after submersion.
Step 2
Volume of water before adding rock = 200mL
Volume of water after adding the rock = 297.5mL
Volume of rock =Volume of water after adding the rock - Volume of water before adding rock
Volume of Rock = 297.5-ml 200ml
= 97.5ml
If John deposits $525 in a savings account and his account pays an annual interest rate of 5.5% and makes no other deposits and withdrawals what is the simple interest earned for 5 years , 5 months , and 5 days
Answer:
The amount of simple interest earned is $156.79
Step-by-step explanation:
Mathematically;
Simple interest = PRT/100
From the question;
P = $525
R = 5.5%
T ; to get this, we need to make the numbers agree;
We do this by dividing number of months by 12 and number of days by 365
So 5 years, 5 months and 5 days will be;
5 + 5/12 + 5/365 = 5.43
So, using this in the simple interest calculations, we have;
S.I = (525 * 5.5 * 5.43)/100
S.I = $156.79
Use proportional reasoning to determine the value of a in the proportion shown below. Q+5 unlu
O a = 1
O q = 25
O a = 10
O a = 15
Answer:
a=10
Step-by-step explanation:
is this equation true?
y^4 + y^5= y^9
Answer:
NO it is not true
-20 + 6 = - +5 Approximate the solution to the equation above using three iterations of successive approximation. Use the graph below as a starting point. 6 2 3 X х -6 14 - 2 6 2 -6 OA I -100 OB. 1 13 16 15 16 O C. 15 O D. r 021+
Answer:
its b
Step-by-step explanation:
i did that test
The required solution after three successive iterations is near x = 7/8. Option c is correct.
What is the equation?The equation is the values of two expressions that are equal. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here, we have,
Equation is -2x + 6 = -(2/3)^x + 5. Approximate the solution to the equation above using three iterations of successive approximation.
given that,
-2x + 6 = -(2/3)^x + 5
Arranging the equation
(2/3)^x - 2x + 1 = 0
Since the solution of the equation is when f(x) = 0 at near to x = 0.8
f(x) = (2/3)^x - 2x + 1
First iteration at x =0.8
f(0.8) = 0.123
It will go up more to get exact zero, so
Second iteration at x = 0.9
f(0.9) = -0.106
It seems that zero is near 0.9 so will go down
The third iteration at x = 0.87
f(0.87) = -0.037
Here , solution is much near to x = 0.87 or x =7/8.
Thus, the required solution after three successive iterations is near x = 7/8.
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Samuel and Savannah purchase stocks in a company. Samuel started with 50 shares and of the stock and buys 10 shares per month. Savannah did not start with any shares, but she buys 25 shares per month. Write an equation that represents the number of months it will take before Savannah and Share the same amount of shares
Answer:
50 + 10m = 25m
Step-by-step explanation:
Given that:
Samuel:
Stating shares = 50 shares plus 10 shares per month
Savanah :
Starting shares = 0 plus 25 shares per month
Let number of months = m
Samuel shares = savanna shares
50 + 10m = 25m
50 = 25m - 10m
50 = 15m
50 / 15 = m
Write the simplest polynomial function with the given roots 1/2,5, and -2
Answer:
x³-7x²/2-39x/2 + 10Step-by-step explanation:
Given 1/2,5, and -2 as roots of the polynomial, the function in terms of x is expressed as;
P(x) = (x - 1/2)(x - 5)(x+2)
Expand;
(x - 1/2)(x - 5) = x²-5x -x/2 + 5/2
(x - 1/2)(x - 5) = x²-11x/2 + 5/2
P(x) = (x²-11x/2 + 5/2)(x+2) = x³+2x²-11x²/2-22x+5x/2 + 10
P(x) = x³-7x²/2-39x/2 + 10
Hence the required polynomial is x³-7x²/2-39x/2 + 10
50% of the tickets sold at a water park were child tickets. If the park sold 86 tickets in all, how many child tickets did it sell
Answer:
43 tickets
Step-by-step explanation:
50% of 86 (86 x .5) = 43
Answer:
43
Step-by-step explanation:
If in total you have 86 sold split to 50 and you get 43
which shows 2 3/4 as a percent
A. 275%
B. 270%
C. 2.75%
D. 27.5
Answer:
A. 275
Step-by-step explanation:
1= 100% So 2= 200%
1/4= 25% (Just like money) 3/4= 75%
200%+75%= 275
Hope this helps!!!! Have a great day!!!
anyone know how to do tables?
Answer:
a
Step-by-step explanation:
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5) Find the slope of each line.
9) Which equation in IS direct variation?
a. y = 20x
b. 4x + 2y = 20
c. y = |x|
d. y = x2
Answer:
the answer is B.
Step-by-step explanation:
the answer is b because both sides increase
PLEASE HELP!!! WILL GIVE BRAIN!!!
Answer: the square root of -1 is i.
Step-by-step explanation:
Answer:j
Step-by-step explanation:
what is the value of x in the equation 6 (x + 11) = -300
Answer:
x=-61
Step-by-step explanation:
Answer:
-61
Step-by-step explanation:
6(x+11)=-300
6x+66=-300
6x=-366
x=-61
hope this is right
ORDER FROM LEAST TO GREATEST PLEASE ANSWER AND HURRY 14POINTSS
Answer:
2.5, 2.75, 3.7, 4¾ (4.75), 5.5, 29/5 (5.8), 6, 21/4 (7)
Step-by-step explanation:
I converted the fractions into decimals to make it easier to order. Hope this helps.
Help, me with this oof
Answer:
I'm confused
Step-by-step explanation:
what is it
How do we help? theres no question??
Easy math problems!!!!!!
Answer:
16
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangle Only] Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Define
We are given a right triangle. We can use PT to solve for the missing length.
Step 2: Identify Variables
Leg a = 12
Leg b = x
Hypotenuse c = 20
Step 3: Solve for x
Substitute: 12² + x² = 20²Isolate x term: x² = 20² - 12²Exponents: x² = 400 - 144Subtract: x² = 256Isolate x: x = 16Answer:
hi
Step-by-step explanation:hi
hi
What is the slope of the equation, y=3/4x +9
Answer:
3/4
Step-by-step explanation:
What is the measure of < R
Which is the minimum or maximum value of the given function?
Answer:
its b for the both of them
ASAP HELP ME
Find the area of the parallelogram
In the morning Josh completed a hike on a 5/14 mile trail. In the afternoon he completed a hike on a second trail using his pedometer to keep track of the miles. The pedometer measured 3.35 miles for the second trail. What is the total number of miles Josh hiked? Enter your answer as a decimal to the nearest tenth.
Answer:
Total distance travel = 8.60 miles
Step-by-step explanation:
Given:
Distance of 1st trail = [tex]5\frac{1}{4}[/tex] miles = 5.25 miles
Distance of 2nd trail = 3.35 miles
Find:
Total distance travel
Computation:
Total distance travel = Distance of 1st trail + Distance of 2nd trail
Total distance travel = 5.25 + 3.35
Total distance travel = 8.60 miles
passes through (-2,-2) and is parallel to the line 5x-y=45x
The equation of the line is y + 40x = -78.
Here, we are given that a line passes through point (-2,-2) and is parallel to the line 5x - y = 45x.
when two lines are parallel their slopes are equal. So, let us first find the slope of line 5x - y = 45x.
The standard form of the equation of a line is- y = mx + c, where m is the slope of the line.
Here 5x - y = 45x can be written as-
y = -40x
Thus, the slope of the line is -40.
Now we can use the point slope form to find the equation of our line.
According to the point slope form-
(y - y1) = m(x - x1)
here, x1 = -2 and y1 = -2
Thus equation becomes-
(y + 2) = -40 ( x + 2)
y + 2 = -40x - 80
y + 40x = -78
Thus, the equation of the line is y + 40x = -78
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of AZ.
YA is an altitude of AXYZ. What is the length of YA?
O 5√3 units
O 10√3 units
O 15 units
O 20 units
By using Pythagoras theorem we can calculate length of YA and which will come out as, 5√3 units, So Option A is correct.
What is Pythagoras theorem?It is the most important theorem of mathematics, which tells us the relationship between sides of the right angle triangle, which are known as Base(A), Height(B), Hypotenuse(H).
Pythagoras theorem,
H² = A² + B²
Given information,
The length of the side YZ is twice of the side AZ,
Given length of side YZ is, 10 unit
Therefore, length of side AZ is, 5 unit
YA is altitude of ΔXYZ,
and ΔAYZ is a right angle triangle so we use Pythagoras theorem
YZ = H = 10
ZA = A = 5
YA = B = ?
100² = 5² + B²
B = 5√3
Hence, the length of side YA is 5√3 unit
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2/5 of a number is what percentage of that number?
Answer:
40%
[tex] \frac{2}{5} times \: both \: by \: 2 \frac{4}{10} = .4 = 40\%[/tex]
2/5x + 13 = 53
x=
halp
Answer:
x = 100
Step-by-step explanation:
Please Mark me brainliest
Answer:
x=100
Step-by-step explanation:
Can someone tell me the answer?
Answer:
5
Step-by-step explanation:
16÷3=5r1. Hope this helps