Currently, Jacob’s mother is three more than nine times as old as Jacob. In eleven years, his mother will be five more than three times his age. Write a system of linear equations that models this situation. Let j represent Jacob's age, and let m represent his mother's age.
Write an equation that relates Jacob and his mother's current ages. Solve the system of equations.
What are their ages?
Answer:
Jacob is 4 years old and his mother is 40 years old.
Step-by-step explanation:
Part 1: The linear equations are and
Part 2: Solving the equations, we have, and
Part 3: Jacob is 4 years old and his mother is 40 years old.
Explanation:
Part 1: Let j represent Jacob's age, and let m represent his mother's age.
It is given that, "Jacob's mother is three more than nine times as old as Jacob". Writing it as linear equation, we have,
It is also given that, "In eleven years, his mother will be five more than three times his age". Writing it as linear equation, we have,
Simplifying this, we get,
Thus, the linear equation is
The linear equations are and
Part 2: Solving the linear equation, we get,
Substituting in
Simplifying, we get,
Hence,
Substituting in
Solving the equations, we have, and
Part 3: Since, j represents jacob and m represents the jacob's mother
Thus, Jacob is 4 years old and his mother is 40 years old.
. Emma wanted to make an origami fish for each of her 22 classmates. She takes 30 minutes to make one fish. How long will Emma take to make all the fish? A 320 minutes B 11 hours © 600 minutes D 660 hours
Answer:
11 hours
Step-by-step explanation:
50 minutes = 1 hour
30 minutes = 1/2 hour
She takes 1/2 per fish.
1/2 * 22 = 11
Answer: 11 hours
HELPPPPPPPPPPPPPPPPPPPPP
Answer:
d
Step-by-step explanation:
its a rational number because it isn't 0 and the others are incorrect i think
Answer:
Pretty sure its D
Step-by-step explanation:
Process of elimination....All the other ones seem to be incorrect.
Please Help Me! I will give brainly!!
The distance from your front door to the mailbox is 18 4/5 meters. The distance from your front door to your basketball hoop is 13 7/10 meters. How much farther from your front door is the mailbox than the basketball hoop?
Answer:
5 1/10 meters
Step-by-step explanation:
18 4/5 can be changed to 18 8/10 so
18 8/10 - 13 7/10 = 5 1/10 meters
Greg purchased n notebooks. They were 4 dollars each. Write an equation to represent the total cost c that Greg paid.
Answer:
c = 4n
Step-by-step explanation:
The total cost (c) is going to be of the 4 notebooks together
We don't know how many notebooks Greg got, so it's represented by n.
It doesn't matter how many notebooks Greg purchased, because each of them were $4.
So to represent the total cost of the notebooks, you would write c = 4n
(01.01 LC)What should be added to 3 to make the sum 0?
−3
−2
0
3
Answer:
-3
Step-by-step explanation:
math
Answer:
-3
Step-by-step explanation:
Adding -3 to 3 makes the sum equal to 0:
3 + (-3) = 3 - 3 = 0
Item 18
A flagpole casts a shadow that is 7 feet long. At the same time, a man standing nearby who is 6 feet tall casts a shadow that is 25 inches long. How tall is the flagpole to the nearest foot?
I NEED HELP PLEASEEEE
Answer:
D
Step-by-step explanation:
a,b,c are the same thing just in different forms so d is the right one.
also a is suppose to be a/1 i think for question d
A circle is cut from a square piece of cloth, as shown:
A square, one side labeled as 42 inches has a circle inside it. The circle touches all the sides of the square. The portion of the square outside the circle is shaded.
How many square inches of cloth are cut from the square? (π = 3.14)
131.88 in2
168.00 in2
1,384.74 in2
1,764.00 in2
Answer:
A
Step-by-step explanation:
I think you are supposed to do is 42x3.14=131.88 so the answer is 131.88
hope this helps :)
Answer:
Step-by-step explanation:
Given the choices of answers we have to consider that:
The cloth is cut from the square = Area of circle
Area of circle = π r² = 3.14 * 21² = 1,384.74 in²
A monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.
What is the total distance the monkey has traveled when she completes her 25th swing? Round your final answer to the nearest meter.
Answer:
250,000 meters (m)
Step-by-step explanation:
First swing she passed through an arc of:
10m
Each swing, she passed through an arc of :
9/10
9/10×10=10
25×10=250km
250km converted to the nearest m=
250,000 Meters (m)
Note: *This is my opinion, you can try it and see if it's correct,I'm sorry if it's not. Good luck!*
Why are the divisibility rules for 2, 3, and 5 very useful for determining prime and composite numbers
1. They are the smallest odd numbers
2. They add up to 10
3. They are prime numbers with nice divisibility rules
4. They multiply to 30
5. They can be multiplied together to make every number
Answer:
option 3.
Step-by-step explanation:
alright, ima explain each option.
1. "smallest odd numbers" 2 is an even number. that's out of the playing field.
2. "add up to 10" sure, they do add up to 10, but finding prime and composite numbers are all about division and multiplication.
3. this is true. 2, 3, and 5 are all prime numbers, and they have the nice divisibility rules. [ for 2, it has to be even, for 5, it has to end in 0 or 5, and 3 has to have the sum of its digits being divisible by 3. ]
4. they do multiply to 30, but this does not help break the composite numbers down.
5. we cannot make every number with just these. we can not multiply any other whole number to get 7 for per example, because it's a prime number.
sub to gauthmath sub reddit if ya can !
Determine the quotient: 2 4 over 7 ÷ 1 3 over 6.
Answer:
144/91
Step-by-step explanation:
24/7 ÷ 13/6
Keep the first fraction the same, change the sign, and flip the last fraction to solve
24/7 × 6/13 = 144/91
Answer:
144/91
Step-by-step explanation:
24/7 ÷ 13/6
Keep the first fraction the same, change the '÷' sign to '× ' and reciprocal of the last fraction to solve.
24/7 × 6/13 = 144/91
The speed limit is 55mph. How far can you travel in 3 hours going the speed limit? How far can you travel if you went 5 miles over the speed limit?
Answer:
If you were going the speed limit, after 3 hrs, you would go 165 miles.
If you were going 5 miles above the speed limit you would go 180 miles.
Step-by-step explanation:
55 x 3 = 165
55 + 5 = 60
60 x 3 = 180
Answer:
165miles
180miles
Step-by-step explanation:
If going 55mph for 3 hours,
55miles/hour * 3hour = 165miles
If going 60mph (5 over the limit) for 3 hours:
60miles/hour * 3hour = 180miles
Express each of these percentages as a fraction
158%
solution for class 7
Hope it helps :)
IM SO SORRY PLEASE HELP ME!!!
Answer:B,D i think that's it
Step-by-step explanation: lmk if it was right or wrong
The sum of two consecutive integers is -92. Find the integers.
Answer:
x = -46.5
x + 1 = -45.5
Step-by-step explanation:
x + x + 1 = -92
2x + 1 = -92
-1 -1
------------------
2x = -93
---- ----
2 2
x = -46.5
x + 1
(-46.5) + 1
-45.5
Answer:
No solution
Step-by-step explanation:
We can set up an equation where x is the integer and x+1 is the next one
x+x+1=-92
2x+1=-92
2x/2=-93/2
x=-46.5
-46.5+1=-45.5
The problem is that integers do no include decimals so there is no possible whole number. This problem would be possible if it was consecutive odd integers.
What is the equation of the graph?
y = 4x
y = 1/4x
y = -1/4x
y = -4x
Write two equivalent ratios using four different types of music in the data table showing. How do you know the ratios are equivalent?
The figure shows a line graph and two shaded triangles that are similar:
Which statement about the slope of the line is true?
A. It is fraction 1 over 2 throughout the line.
B. It is 2 throughout the line.
C.The slope from point O to point A is fraction 1 over 2 time the slope of the line from point A to point B.
D. The slope from point O to point A is two times the slope of the line from point A to point B.
Answer:
Answer is B
just do your work and proof the work and that will give u the right answer
Answer:
it is B
Step-by-step explanation:
it is just B man, trust
I really need help with this
Answer:
8/5
Step-by-step explanation:
There are 8 jokers combined, and 5 decks, so the mean is 8/5.
64 is 4 times the difference between Sarah's age, a, and 44. Assume Sarah is older than 44.
Answer:
Sarah is 60 years old
Step-by-step explanation:
64 divided by 4 is 16. Add 16 to 44 to get Sarah's age, 60
Answer: She is 60 years old
Step-by-step explanation:
I really need help with this math question ASAP
I need help please thank you <:
Answer:
B
Step-by-step explanation:
We have the following
- 3,210,000
- 420,000
- 1,100,000,000
Now we rearrange the numbers as asked from least to greatest.
- 420,000
- 3,210,000
- 1,100,000,000
Solve the equation by factoring:
6x2-0.5x=0
The solutions to the equation [tex]6x^{2} -0.5x=0[/tex] are [tex]x=0[/tex] and [tex]x=\frac{1}{12}[/tex].
To solve the equation [tex]6x^{2} -0.5x=0[/tex] by factoring, we first need to factor out the common factor of x from the expression:
[tex]x(6x-0.5)=0[/tex]
Next, we can simplify the expression inside the parentheses by factoring out a common factor of 0.5:
[tex]x(12x-1)=0[/tex]
Now, we have two factors being multiplied together that give a product of zero. According to the zero product property, this means that either [tex]x=0[/tex] or [tex]12x-1=0[/tex]. Solving for x in the second equation, we get:
[tex]12x-1=0[/tex]
[tex]12x=1[/tex]
[tex]x=\frac{1}{12}[/tex]
Therefore, the solutions to the equation [tex]6x^{2} -0.5x=0[/tex] are [tex]x=0[/tex] and [tex]x=\frac{1}{12}[/tex].
To know more about factoring visit: https://brainly.com/question/1863222
HELPPP PLEASE I DON'T UNDERSTAND!!
Answer:
B
Step-by-step explanation:
If all the coordinates are placed in a graph, the line would be straight. This would mean it is linear.
What is the value of the expression shown below? 7 + (10 - 4 )^2 divided 4 x (1/2)
Answer:
43 / 2 = 21 1/2 = 21.5
Step-by-step explanation:
7+(10-4)^2/ 4 (12) you can either multiply by 4(1/2)/4(12) or do the following
Subtract 4 from 10 to get 6.
7+6^2 / 4×( 1/2)
Calculate 6 to the power of 2 and get 36.
7+36 / 4×( 1/2 )
Add 7 and 36 to get 43.
43 / 4× 1/2
Multiply 4 and 1/2 to get 2.
43 / 2 = 21 1/2 = 21.5
A pair of equations is shown below:
y = 2x − 1
y = 4x − 5
Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points)
Part B: What is the solution to the pair of equations? (4 points)
12(43)
5 (88)
8 (63)
7 (28)
Please help me i tried to do this but I really don't get this can somebody help? plsssssssssssssssssssssssssssssss(sorry for spam)
Stacey earns money by walking dogs she walks the same route seven days a week each week she walks a total of 56 miles what is her walking rate in miles per day
Answer:
8
Step-by-step explanation:
56/7 = 8
sin0+sin0+2sin0+3sin0
step by step
Answer:
0
Step-by-step explanation:
the value of sin 0 degree is always equal to 0.
=0+0+2x0+3x0
=0
