Answer:
18 years
Step-by-step explanation:
let the boy's age my x and mother's age be y
x+y=48
y=3+2x which can also be written as 2x-y=-3
on solving both the equations,
you will get x=15 and y=33
so son's age is 15 years and mom's age is 33 years and the difference between their ages is 18
Identify the constant of proportionality from the graph.
A. 1/2
B. 8
C. 2
D. 5
Can someone help me with this??
9514 1404 393
Answer:
u, AB6.4arctangent51°MN has the opposite direction of NMa ray has infinite length; a vector has finite lengthStep-by-step explanation:
1. The problem preamble gives you the two ways to name the vector. You can use either its name, or the two end points. (The starting point is named first, as it is with a ray.)
The vector shown can be referred to by the names ...
u or AB
__
2. The right triangle has legs 4 and 5, so the length is ...
length = √(4² +5²) = √41
length ≈ 6.4
__
3. Typically, you're given the leg lengths. The ratio of these is the tangent of the angle. The angle can be found using the inverse tangent function.
__
4. The tangent of the angle is the slope of the vector:
tan(A) = 5/4
A = arctan(5/4) ≈ 51°
__
5. The first letter named is the starting point of the vector. Vector MN starts at point M and ends at point N. Vector NM starts at N and ends at M. The directions of the two vectors are opposites.
__
6. A ray is like a vector of infinite length. The name of a ray includes a point on the ray. The name of a vector includes both end points. It is of finite length.
_____
Additional comment
A lot of math is invented to describe how things work in the real world. A vector is often used to represent velocity or force and other things that can be described by a magnitude and direction in the real world. A ray is more often used in problems in geometry, where that abstract concept serves a useful purpose.
Chloe went to Dairy Swirl to get two scoops of ice cream. The two scoops cost $3.39. She asked the server to add hot fudge and m & m’s to her ice cream. If her sundae cost $4.89 after the two toppings were added, how much was each topping
Parker drove a total distance of 4 and 1 over 2 miles during the months of June and July. If Parker only drove 1 over 8 of a mile every day, which expression shows the number of days he went driving? 4 and 1 over 2 ⋅
Answer:
36 days
Step-by-step explanation:
Total distance driven = 4 1/2 miles = 9/2 miles
Months of June and July ;
Miles driven per day = 1/8
Number of days Parker went driving :
Total miles driven / miles driven per day
9/2 miles ÷ 1/8 miles
9 /2 * 8 /1
(9 * 8) / (2 * 1)
72 / 2
= 36 days
Hence, Parker drove for 36 days
please help help help
Answer:
7×8
Step-by-step explanation:
17×8=136
10×8=80
136-80=56
find the multiplication that = to 56 and that is 7×8.
The cost of a house is 13% in one year. The original price was 75,000. Find the cost of one year later
Answer:
The cost of the house after one year = 84,750 rupees
Step-by-step explanation:
Explanation:-
Given that the cost of house = 13% in one year
Given that the house original price = 75000
We have to find that the house cost after one year
Solution:-
The cost of a house increase 13% per year
= 75000 X 0.13
= 9750
The total cost = 75000+9750
= 84,750 rupees
Final answer:-
The cost of the house after one year = 84,750 rupees
Which of these strategies would eliminate a variable in the system of equations? 5x+8y=-1 5x -8=-7
Answer:
To eliminate a variable in the system, we will have to subtract both expressions from each other
Step-by-step explanation:
Given the equations
5x+8y=-1
5x -8y=-7
To eliminate a variable in the system, we will have to subtract both expressions from each other
5x - 5x +8y-(-8y) = 1-(-7)
0 + 16y = 8
16y = 8
You can see that the variable x has been eliminated by simply subtracting both equations
y = 8/16
y = 1/2
What is the HCF of 359 and 541?
Answer:
3
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
Find the prime products of the two number and put into a venn diagram. The highest common facot is the product of the overlap of the diagram
solve the equation y = 200 - 5(x + 37) for x if y = 360.
Answer:
x= -35.153846
Step-by-step explanation:
360=200-5(x+37)
360=195(x+37)
360=195x+7215
360-7215=195x+7215-7215
-6855=195x
-6855/195=195x/195
-35.1538461538=x
-35.153846=x
I THINK ;]
Expression that is equivalent to (b^10) ( b^2)in the form of b^m
Answer:
b^12
Step-by-step explanation:
Multiply b^10 by b^2 by adding the exponents.
b^12
Which equation is not equivalent to 2x + 14 = 4x - 6
a) 14 +6 = 2x
b) -2x =20
c) 2x - 4x = -20
d) x = 10
The equation that is not equivalent to 2x + 14 = 4x - 6 is c) 2x - 4x = -20
To determine which equation is not equivalent, we need to simplify each option and see if it yields the same solution as the original equation.
Option c) simplifies to -2x = -20, which is different from the original equation. In the original equation, we have 2x + 14 = 4x - 6.
Therefore, the equation 2x - 4x = -20 is not equivalent to 2x + 14 = 4x - 6.
To know more about equation:
https://brainly.com/question/10724260
#SPJ6
Tasha is rolling 2 dice. Use a probability model to determine the theoretical probability that she will roll an even number on the first die and a multiple of 3 on the second die?
Answer:
4/12 probability
Step-by-step explanation:
there is 4/12 chance she will roll this
Simple flying products and cautions of powers HELP PLZ
Answer:
m a t h w a y
Step-by-step explanation:
Answer:
10 and 6Step-by-step explanation:
Exponents multiplied ⇒ powers add up
Exponents divided ⇒ powers subtracted
a = 2 + 8 = 10b = 10 - 4 = 6Find the values of x and y in the diagram below
Answer:
x= 15
y= 21
Step-by-step explanation:
81+6x-11+x+5= 180
7 x + 75= 180
7x= 105
x=15
4y-18+y+14+6×15-11=180
5 y + 75= 180
5y= 105
y= 21
make b the subject of the formula a=squareroot of b+6
This parallelogram has 4 equal angles, but
not 4 equal sides. What is its name?
Answer:
It's a Rhombus!
Please solve quickly! I’ll give brainliest as soon as possible!
Answer:
5.4
Step-by-step explanation:
Ita a basic right triangle problem
c^2=a^2+b^2c=db=7-2=5a=4-2=22^2+5^2= dd= 5.39 (rounded to 5.4)Determine the total price (including tax) of a $35 t-shirt that is discounted 25%.
A) $29.99
B) $26.25
C) $29.66
D) $39.55
Answer:
C
Step-by-step explanation:
Just took the quiz
Really don’t understand this one
Answer:
(3,8)
Step-by-step explanation:
First, you need to graph a triangle using the points given.
Then reflect across y = x
R is (3,0) which when reflected across y = x is (0,3)
S is (3,3) which when reflected across y = x is (3,3)
R is (4,0) which when reflected across y = x is (0,4)
$4\%$ of the students at Excellent Elementary are vegetarians. If there are $1200$ non-vegetarians, how many students go to Excellent Elementary?
Answer:
1250 students go to Excellent Elementary.
Step-by-step explanation:
Given that 4% of the students at Excellent Elementary are vegetarians, you can subtract 4% from 100% to find the percentage of students that are non-vegetarians:
100%-4%=96%
Now, since you know that 96% of the students are non-vegetarians and that they are 1200, you can use a rule of three to find the amount that represents 100% which would be the total amount of students that go to Excellent Elementary:
96% → 1200
100% → x
x=(100*1200)/96
x=1250
According to this, the answer is that 1250 students go to Excellent Elementary.
What are the solutions to x2−10x=39? Question 4 options: 3 and -13 1 and -39 -1 and 39 -3 and 13
Answer:
[tex]x=-3,13[/tex]
Step-by-step explanation:
Given: [tex]x^2-10x=39[/tex]
To find: solutions of the given equation
Solution:
[tex]x^2-10x=39\\x^2-10x-39=0[/tex]
Write [tex]-10=-13+3[/tex]
Therefore,
[tex]x^2-13x+3x-39=0\\x(x-13)+3(x-13)=0\\(x+3)(x-13)=0\\x=-3,13[/tex]
So, solutions of the given equation are [tex]-3[/tex] and [tex]13[/tex].
Which inequality is true if n = 81?
F 3n < 84
G n − 29 < 53
H 2n < 162
J n + 5 < 76
Answer:
G n - 29 < 53
Step-by-step explanation:
Replace n with 81 so it becomes
81 - 29 < 53
If you solve, 81 - 29 would be 52
Then you have
52 < 53
This is true since 53 is greater than 52
Answer this real-world question
Xavier had $100 in his lunch account. He spends $6 for lunch each day. Zack has $160 in his lunch account. He spends $10 each day. After how many days will the boys have the same amount of money in their accounts? How much money will they each have on that day?
Answer:
After 15 days they'll both have $10
Explanation:
100 (Xavier's total)- 6x (6 dollars every day) = 160 (Zach's total amount) -10x (10 dollars every day)
[tex]100-6x=160-10x\\[/tex]
+10x on both sides
[tex]100+4x=160[/tex]
-100 on both sides
[tex]4x=60[/tex]
/4 on both sides
[tex]x=15[/tex]
H E L P M E P L E A S E
Answer:
B: 56 ounces no hate If I am wrong :)
Jillian noted that 17 of the guests said they wanted to eat a hotdog at the party hotdog buns are sold in packs of eight how many packs of hotdog buns should jillian buy
Please help I need by 9:00 am
Answer:
here!
Step-by-step explanation:
so graphing lines are pretty hard but this one is fairly simple. here the slope formula format is y=mx+b
m being the slope
and b being the y-intercept
so as you can see your equation has no slope meaning your line is just going to be straight
and then if you take a look to find the only other thing your equation has in it is a 6 as the y-intercept meaning in order to graph this find where 6 is on the y-axis (the vertical line on the side) and draw a line going horizontal and put a dot or a point on (0,6) to mark that you have found the y-intercept and that this is the only known point on your line graph so far with the information given. i hope this makes sense, and have a great day!
I need the answer to this question
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Answer:
g(x) = (5x +26)/(x+5)
Step-by-step explanation:
To translate the function right h units and up k units, the transformation is ...
f(x -h) +k
You want h=-4 (4 units left) and k=-1 (1 unit down). So, the translated function is ...
[tex]f(x+4)-1=\dfrac{6(x+4)+7}{(x+4)+1}-1\\\\=\dfrac{6x+31}{x+5}-1=\dfrac{6x+31-(x+5)}{x+5}\\\\=\dfrac{5x+26}{x+5}[/tex]
The translated function is ...
g(x) = (5x +26)/(x+5)
__
The original function is in red with asymptotes shown in orange. The translated function is in purple with the asymptotes shown in blue. You can see that the function has been moved 4 left and 1 down.
2. It takes Jacob 30 minutes to wash the car by himself if
takes Malochi 25 minutes to wash the car by himself if
they work together, how long would it take for them to
wash the car together?
Let x represent the number of hours that he spent washing cars.
Let y represent the number of hours that he spent landscaping.
In a week, he can work no more than 19 total hours. This means that
x + y ≤ 19- - - - - - - - - - - -1
Jacob is working two summer jobs, making $10 per hour washing cars and making $8 per hour landscaping. He must earn at least $170. This means that
10x + 8y ≥ 170 - - - - - - - - - -2
If Jacob worked 4 hours landscaping, it means that
x + 4 ≤ 19 x ≤ 19 - 4 x ≤ 15
Also, 10x + 8 × 4 ≥ 170 10x + 32 ≥ 170
10x ≥ 170 - 32 10x ≥ 138
10x ≥ 138/10 x ≥ 13.8
The minimum number of hours is 14
Which system of equations is in standard form?
Washer and dryer cost $784 combined. The washer cost $66 less than the dryer. What is the cost of the dryer.
Answer:
$425
Step-by-step explanation:
Let the dryer cost x
and the dish washer cost y
x+y=784-----------1
y=x-66-------------2
put the value of y=x-66 in 1
x+x-66=784
2x= 784+66
2x=850
x=850/2
x=425
Hence the dryer cost $425