Answer:
Mother is presently 34
Scott is 11
Step-by-step explanation:
Let the mother's age = x
Let the son's age = y
First Equation
x + y = 45
Second equation
3*(x + 5) - 9 = y+5 Add 9 to both sides
3(x + 5) = y + 5 + 9
3(x + 5) = y + 14 Remove the brackets
3x + 15 = y + 14 Subtract 14 from both sides
3x + 15 - 14 = y
3x + 1 = y
Put the first equation into the second equation
x + y = 45 Subtract y from both sides
y = 45 - x
Put this value for y into the second equation's results.
3x + 1 = 45 - x Add x to both sides
3x + x + 1 = 45
4x + 1 = 45 Subtract 1 from both sides
4x = 45 - 1
4x = 44 Divide by 4
x = 44/4
x = 11
x + y = 45
11 + y = 45
y = 34
To get home, Renae can take one of four buses: #41. #28. #55, or #81. Once she is on a bus, she will randomly select one of the
following equally likely activities: listening to her music player, writing a letter, or reading a book. Her choice of bus and choice of entertainment are independen
events, because the bus that Renae took did not affect which activity she chose. For example, what is the probability that Renae writes a letter if she takes the
#41 bus? What is the probability that Renae writes a letter if she takes the #55 bus?
The probability that Renae writes a letter if she takes the #55 bus is 1/12
The buses are given as:
Buses: #41, #28, #55, #81
There are 4 buses of equal probabilities.
So, the probability that she takes the #55 is:
[tex]P(55)= \frac 14[/tex]
The activities are given as:
Activities: listening to her music player, writing a letter, or reading a book
There are 3 activities of equal probabilities.
So, the probability that she writes a letter is:
[tex]P(Letter)= \frac 13[/tex]
The probability that she does both independent events is:
[tex]Pr = P(55) \times P(Letter)[/tex]
So, we have:
[tex]Pr = \frac 14 \times \frac 13[/tex]
[tex]Pr = \frac 1{12}[/tex]
Hence, the probability is 1/12
Read more about probabilities at:
https://brainly.com/question/251701
Write as expression. The sum of 7, a number, and 8.
Answer:
7 +X + 8= Y
Step-by-step explanation:
The sum means addition, and "a number" is going to be replaced by X
Distance between two points (−5,−5) and (-9, -2)
Answer: 5
Step-by-step explanation: d = √(x^²-x^₁)^2+(y^²-y^₁)^2 d = √ (-9--5)^2+ (-2 - -5)^2 d = √(-4)^2 + (3)^2 d = √16 + 9 d = √25 d = 5
Simplify.
8^15÷8^−3
Enter your answer as a number to a power, using the ^ symbol to indicate exponents. For example, to enter 4253, type it like this: 42^53
PLEASE THIS HAS TAKEN ME AN ENTIRE DAY I HAVE NO IDEA HOW TO DO THIS
Answer:
[tex]8^{18}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex] , then
[tex]8^{15}[/tex] ÷ [tex]8^{-3}[/tex]
= [tex]8^{(15-(-3))}[/tex]
= [tex]8^{(15+3)}[/tex]
= [tex]8^{18}[/tex]
The simplified form is 8^18
What are Exponents?The exponent of a number shows how many times the number is multiplied by itself. For example, 2×2×2×2 can be written as 24, as 2 is multiplied by itself 4 times. Here, 2 is called the "base" and 4 is called the "exponent" or "power." In general, xn means that x is multiplied by itself for n times.
Properties of ExponentsThe properties of exponents or laws of exponents are used to solve problems involving exponents. These properties are also considered as major exponents rules to be followed while solving exponents. The properties of exponents are mentioned below.
Law of Product: am × an = am+nLaw of Quotient: am/an = am-nLaw of Zero Exponent: a0 = 1Law of Negative Exponent: a-m = 1/amLaw of Power of a Power: (am)n = amnLaw of Power of a Product: (ab)m = ambmLaw of Power of a Quotient: (a/b)m = am/bmGiven:
8^15÷8^−3
Using
a^m / a^n = a^( m-n)
So,
8^15÷8^−3
=8^(15-(−3))
=8^(15 +3)
=8^18
Learn more about exponents and power here:
https://brainly.com/question/15722035
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Makayla wants to spend no more than $50 to celebrate her birthday with her four friends. Each box of her favorite pizza costs $7.50. Which inequality can Makayla use to find p, the number of boxes of pizza she can buy without exceeding $50?
6 boxs she will only have 5 dollors left
also what kind of persom buys 6 pizza boxes for 4 friends
Which statements are true for a reflection? Choose all that apply. ________________________________________________________________________________________________________________________________________
The distance between corresponding points in the image and pre-image is constant.
The orientation of points on the polygon is preserved by the transformation.
The angle measures between sides on the polygon are preserved by the transformation.
The distances between points on the polygon are preserved by the transformation.
Answer:
The last 2
Step-by-step explanation:
please help me!
ty :)
Answer:
y-2 = 5(x-3)
Step-by-step explanation:
-
Hope that helps
In ΔJKL, j = 74 cm, k = 14 cm and l=80 cm. Find the measure of ∠J to the nearest degree.
Answer:
∠J = 60°
Step-by-step explanation:
The Law of Cosines tells you ...
j² = k² +l² -2kl·cos(J)
Solving for J gives ...
J = arccos((k² +l² -j²)/(2kl))
J = arccos((14² +80² -74²)/(2·14·80)) = arccos(1120/2240) = arccos(1/2)
J = 60°
_____
Additional comment
It is pretty rare to find a set of integer side lengths that result in one of the angles of the triangle being a rational number of degrees.
Answer:
60
Step-by-step explanation:
im wasting so many points on these
help please
Hello, again!! :p
I'm not sure about the whole equation because I was taught to solve it in a different way and I got the answer =3 ± i√ 6 ,not a -3.
Sorry, I'm not sure if that was much help!
Determine if the relation below is a function.
(-5,1) ; (3,1) ; (5,1) ; (2,1)
Group of answer choices
Yes, this relation is a function.
No. this relation is not a function.
Mrs. Hill went to get an oil change, because she has a 20% off coupon. F the oil change is $35.00, how much is the discount? In problem #1, how much does Mrs. Hill have to pay?
Answer:
28
Step-by-step explanation: 20% off $35 is equal to (20 x 20) / 100 = 7. So if you buy an item at $35 with 20% discounts, you will pay $28 So the Discount would be 7 Dollars
Plz help brainiest to the correct answer!
Answer:
1. x (multiplication)
2. / (division)
3. - (subtraction)
4. - (subtraction)
5. / (division)
Step-by-step explanation:
1. 24 x 3/4= 18
2. 24/-3/4=-32
3. 12- 15= -3
4. 12- (-15)= 12 + 15 = 27
5. -18 / -3/4= 24
#a
[tex]\\ \sf{:}\dashrightarrow 24\times \dfrac{3}{4}=18[/tex]
#b
[tex]\\ \sf{:}\dashrightarrow 24\div \dfrac{-3}{4}=-32[/tex]
#c
[tex]\\ \sf{:}\dashrightarrow 12-15=-3[/tex]
#d
[tex]\\ \sf{:}\dashrightarrow 12-(-15)=27[/tex]
#e
[tex]\\ \sf{:}\dashrightarrow -18\div \dfrac{-3}{4}=24[/tex]
A recipe that serves 6 people calls for 1 1/2 cups of sugar. Suppose you have 9 cups of sugar. Do you have enough to make the recipe for 40 people?
Classify −3x4−x3+4x2+12 by degree.
Answer:
Fourth degree or quartic
Step-by-step explanation:
As the highest power is 4, it is a quartic.
simplify 7^2 • 7^6 =
How many solutions does the system of equations below have?
4x + 10y = –7
–3x + 9y = –14
No solution
One solution
Infinitely solutions
Answer:
There is one solution to this system of equations
Step-by-step explanation:
When solving, there is a specific point of intersection which is (7/6,-7/6), making the answer one solution.
Need help ASAP! Directions in picture;)
NEED HELP ASAP GEOMETRY QUESTION 20 POINTS!!!!
Answer:
X= 12
Step-by-step explanation:
HELP PLEASE!!
Question in picture!!
Answer:
twice a number and add 2 to it
Expression. 2x+2
Varible. 2X
Constant. 2
ten subtracted from 1/4 a number
Expression. 1/4x-10
Varible. 1/4x
Constant. -10
Hope This Helps!!!
The area of Chile is approximately 2*10^6 square kilometers the area Bosnia is approximately 9*10^4 square kilometers what is the area of the two countries
Answer:
2,090,000
Step-by-step explanation:
Area = Area of Chile + Area of Bosnia
Area of Chile = 2*1000000
Area of Bosnia = 9*10000
Area = 2,000,000 + 90,000
Area = 2,090,000
Answer:
Step-by-step explanation:
there total
= 2*[tex]10^{6}[/tex] + 9*[tex]10^{4}[/tex]
= 2*1,000,000 + 9*10,000
= 2,000,000 + 90,000
= 2,090,000
= 209*[tex]10^{4}[/tex]
= 2,09*[tex]10^{6}[/tex]
PLEASE HELP GIVING POINTS
Answer: You are correct, the slope 2, is the slope of the present line displayed on the graph.
Step-by-step explanation:
To find slope, you use the formula/term; [tex]\frac{rise}{run}[/tex].
This means to rise up ___ amount of numbers and run __ amount of numbers.
Rise is moving along y, and x is moving along x.
-Additional info:
positive slope (when lines go uphill from left to right) negative slope (when lines go downhill from left to right) zero slope (when lines are horizontal) undefined slope (when lines are vertical)-------------
#TeamTrees #TeamSeas #PAW #Spread_Positivity
I hope this helps,
-Oceanbreeze24
solve 4x-y=-5 -2x+3y=10
Answer:
(x,y) =(7/2,4)
The equation 750(1.03)4t=1,000 can be used to find the amount of time, t, in years, it takes for a savings account compounded quarterly to reach $1,000. In order to solve the equation 750(1.03)4t=1,000, a student graphs the equations y=750(1.03)4t and y=1,000. What is the approximate solution to the equation 750(1.03)4t=1,000?
Answer:
Step-by-step explanation:
T=29.16
1. What is the next number in the pattern below?
0, 5, 11, 18, _____
can someone pls help me with this? Thank you!
WILL GIVE BRAINLIEST
Answer:
31). (0,-2), (2,-5).
32). (0,-1), (5,3).
33). (0,1), (5,-2).
34). (0,1), (4,0).
Which is the graph of y = [x]-2?
Answer:
Step-by-step explanation:
number 1
Mrs. Arnold asked her 30 Geometry students who owned a pet. 16 students own a dog, 12 students have a cat and 6 students did not have a cat or a dog. Thomas wrote the information in a Venn diagram but made an error. Explain where the error occurred.
Answer:
The number is out of the Venn Diagram. The number is supposed to be in the middle if the middle means the students that don’t have a cat nor dog. Hope this helps and hope you pass.
Simplify.
√44
O 4√40
O 2√11
O 2√22
o 4√11
Answer:
It is the second option
[tex]2 \sqrt{11} [/tex]
Solve 7,030 ÷ 3 using the division algorithm ?????????????????
Answer: 2,343.3333 repeating, or just 2,343 1/3
Step-by-step explanation:
If you divide, your answer comes out to be 2,343.3333 repeating or 2,343 1/3.
What is the slope of the line on the graph?
Enter your answer in the box.
Answer:
-1/3x+4
Hope This Helps!!!
