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.
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.
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
If f(x) = -3x - 2
find f(-2) + 9
Answer:
f(-2) + 9 is 19
Step-by-step explanation:
[tex]f(x) = - 3x - 2[/tex]
when x is -9:
[tex]f( - 2) = - 3( - 2) - 2 \\ f( - 2) = 10[/tex]
sum up with 9, f(-2)+9:
[tex]f( - 2) + 9 = 10 + 9 \\ = 19[/tex]
Find the area of the figure at the right in square feet. The figure can be separated into a rectangle and a trapezoid. Find the area of each. (image attached)
Answer:
Shape 1: Trapezoid
A= h(a+b/2)
A=32
Shape 2: rectangle
A=lw
A=96
32+96=128
Let me know if this helps!
Gina wants to solve the following proportion.
a / 5/8 = 3/5 / 2/3
A. explain how to solve the problem.
B. solve the proportion. show your work.
Step-by-step explanation:
please don't understand the question. will be happy if you take a shot of it.
Thanks
If f(x) = 3x+1, then f(a+h) - f(a) =
1. 03 h
2. h
3. 3 h + 2
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 !
Where do the slope and y-intercept show up in the tables and graphs?
Answer:
Solution: The general form of the line on a graph is y = mx+c,
where y is the coordinate of the point along the y-axis,
x is the coordinate of the point along the x-axis,
m is the slope of the line or arc tan of the angle the line makes with the x-axis, and
c is the intercept the line makes on the y-axis.
Suppose we want a line having a slope of 45º with the x-axis and passes through point P (4,6), the equation of the line is
y = mx + c
6 = tan 45 * 4 + c, or
6 = 4 + c, or
c = 6–4 = 2.
Express each of these percentages as a fraction
158%
solution for class 7
Hope it helps :)
Are the ratios 5:4 and 8:2 equivalent? yes or no
Answer:
no
Step-by-step explanation:
no its no
Answer:
I believe no
Step-by-step explanation:
I believe it is no but I could be wrong...if I am wrong I am very sorry and hope you can forgive me
Write two equivalent ratios using four different types of music in the data table showing. How do you know the ratios are equivalent?
Extra points for this question if you just use me for the points I will red flag you with no regrets/ Please help me.
Answer:
Step-by-step explanation:
. 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
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!*
Find the surface area of the square pyramid shown below.
Answer:
179.38 sq.units
Step-by-step explanation:
answer is in the pic
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
Please multiply 6c(4)
Answer:
24c
Step-by-step explanation:
6 * c * 4 = 6 * 4 * c = 24c
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
24c
Step-by-step explanation:
6c * 4 is 24c. You multiply normally and make it c :)
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
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)
Make a list of three rates that describe things that you do. For example, you could describe how many classes you attend in a day. For each example, explain why it is a rate.
I tried to make this as vague as possible since this is a question about your personal life.
1. sleep to hours in a day, 8:24
2. cans of soda to bottles of water, 1:2
3. meals to snacks, 3:2
Absolute Value – how far or the
[ Select ] Answer | Counter | Number | or distance
a number is from zero.
Answer:
The last answer or Distance a number is from zero
Step-by-step explanation:
It's this answer because absolute value is just how far a number is from zero for example | -1 | is equal to 1 because -1 is 1 away from zero. Hope this helps :)
Answer:
The last answer or Distance a number is from zero i think i dont know
Step-by-step explanation:
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
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.
Choose the equation that represents the graph.
Answer:
y = 1x + 3
Step-by-step explanation:
the slope is 1 and the y intercept is 3
Express each of the following fractions as percentages
12/25
solution for class 7
[tex]\\ \sf\longmapsto \dfrac{12}{25}\times 100[/tex]
[tex]\\ \sf\longmapsto \dfrac{12\times 100}{25}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1200}{25}[/tex]
[tex]\\ \sf\longmapsto 48\℅[/tex]
HURRY IM TIMED!! which inequality is represented by this graph?
Answer:
x<6 this is the answer because the circle is hallow (not including) and going left (less than)
Answer:
x<6
Step-by-step explanation:
Look at the way the blue arrow is pointing that means less than and the circle is open so it is not equal to the number 6.
Hii! Please helpppp!! This was due like 3 days ago lol
Fergus has 3 1/4 cups of oats
= 13/4 cups of oats
Oatmeal bars = 2 2/3
= 8/3 cups of oatmeal used
Therefore cups of oats left = 13/4 - 8/3
= 39/12 - 32/12
= 7/12 cups of oats left
She borrowed 1 cup of oats from neighbour
7/12 + 1/1
= 7/12 + 12/12
= 19/12 cups of oats
Blueberry oats muffin = 1 3/4 cups of oats
= 7/4 cups of oats
Total she will have now = 19/12-7/4
= 19/12 - 21/12
= - 2/12
= -1/6
Which means she needs 1/6 cup of oats more
Therefore its option 4
Must click thanks and mark brainliest
Answer:
she needs 1/6 more so the last option! looking at the pic i dont think you need to show the work :)
Step-by-step explanation:
I know how to find the distance of two coordinates but not three could someone help me on this??
Choose a number line to model the following situation:
The temperature outside rose 15° and then dropped 15°. (4 points)
a
A vertical number line is shown with labels at 0 and 15. A red arrow (labeled dropped 15 degrees) begins at 15 and ends at 0. A purple arrow (labeled rose 15 degrees) begins at 0 and ends at 15.
b
A vertical number line is shown with labels at negative 15, 0, and 15. A red arrow (labeled dropped 15 degrees) begins at 0 and ends at negative 15. A purple arrow (labeled rose 15 degrees) begins at 0 and ends at 15.
c
A vertical number line is shown with labels at negative 15, 0, and 15. A red arrow (labeled dropped 15 degrees) begins at 15 and ends at 0. A purple arrow (labeled rose 15 degrees) begins at negative 15 and ends at 0.
d
A vertical number line is shown with labels at 0, negative 15, and negative 30. A red arrow (labeled dropped 15 degrees) begins at 0 and ends at negative 15. A purple arrow (labeled rose 15 degrees) begins at negative 15 and ends at negative 30.
Answer: A
Step-by-step explanation: It is showing that the temp Atari is raising by 15 ( +15) then dropping by 15 (-15)
Hope this Helps :))