Answer:
*name* is 10 years old now and brother is 15 years now
In 10 years they would be 20 and 25 respectively
Step-by-step explanation:
Let x = *name*'s age now
let y = brother's age now
The first relationship is that the ratio of their ages now is 2:3 or, in fraction form 2/3
That means x/y = 2/3
Cross multiply => 3x = 2y =>
3x - 2y = 0 [1]
10 years from now x would become x + 10 years, y would become y + 10 years and the new ratio is 4/5
So (x + 10)/(y+10 = 4/5
Cross-multiply
5(x + 10) = 4(y + 10)
5x + 50 = 4y + 40
Subtract 4y from both sides
5x + 50 -4y = 40
and subtract 50 from both sides:
5x - 4y = 40 - 50
5x -4y = -10 [2]
Eliminate y terms by multiplying [1] by 2 and subtracting [1] from that
[1] x 2
=> 2(3x - 2y) = 2 x 0
=> 6x - 4y = 0 [3]
[3] - [2]
6x - 4y - (5x -4y) = 0 - (-10)
6x - 4y -5x + 4y = 10
x = 10
Using equation [1] we get
x/y = 2/3
=> 10/y = 2/3
10 x 3/2 = y
5 x 3 = y
y = 15
So their ages are 10 and 15 now.
In 10 years they would be 20 and 25
If the ratios change we would have a different set of equations to solve for
For example if the current ratio is 1/3
Then we would get x/y = 1/3
or 3x - y = 0 [4]
and if 10 years from now the ratio is 3/5 then
(x + 10)/(y + 10) = 3/5
=> 5(x+10) = 3(y + 10)
=> 5x + 50 = 3y + 30
=> 5x - 3y = -20 [5]
And we would solve these equations to get x and y in a similar mannter
FYI the answers would be
x = 5, y = 15
How do you multiply and divide integers and rational numbers?
Terry descends 110 feet in 10 minutes inside a cave. Which of the expressions shows Terry’s change in position from where he was before descending.
Answer: Answer D
Step-by-step explanation: Terry descended 110 feet in the air so where was he before he descended? -110 feet 110 feet away from the cave so reverse that and hes 110 feet away :) hope this helps and is right.
Answer: D is the answer
Step-by-step explanation: He was -110 feet 110 feet away from the cave so reverse that and he's 110 feet away
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Jane is saving money to buy a game. The game costs $20, and so far she has saved four-fifths of this cost. How much money has Jane saved?
Answer:
she has 16$ saved
Step-by-step explanation:
20 divided 5 = 4
4 fifths of 20 is 16
help me please please please please please, please
Answer:
10:8
Step-by-step explanation
ANWERS ASAP PLSSSS :) <3
Answer:top one is a
second one is c
nuber 3 is c
4 is b
Step-by-step explanation:
Answer:
1. x >= 4
2. x /= -4
3. The first one
4. The second one
Step-by-step explanation:
1. Since the bolded arrow is pointing to numbers greater than 4, we can tell that x is greater than 4. The dot on the number 4 is colored, meaning that four is included, thus x is greater than or equal to 4.
2. Since the bolded areas are on every point on the graph except -4, we can tell that x is every number but -4, thus x is not equal to -4.
3. The sign "<" indicates that x is less than 3. This eliminates the second option. Since there is no equal to sign, the dot isn't colored, thus, the first one.
4. The sign "<=" indicates that x is less than or equal to -1, eliminating the third option. Since it is equal to, the dot should be colored, thus, the second one.
HELP I NEED A O GIVE MY ANSWER SOON
Answer:
y=4x
Step-by-step explanation:
if you look at the line you'll see it takes 4 x's to = 1 y, every time you go right 1 you go up 4
Answer:
The slope is 4.
Step-by-step explanation:
Step 1:
Slope can also be found by using the formula, Y2-Y1/X2-X1
In this case, our first point is the origin, so x would be 0 and y would be 0. On the second point, our x is -1, and our y is -4.
So, we can make the solution, -4-0/-1-0.
You can simplify this into, -4/-1, and then into 4.
Therefore, the slope is 4.
Step 2:
M is our slope, so in our y=mx equation our m = 4.
If you substitute in the m, you get y=4x.
Answer:
y=4x.
Hope this helped!
What is the slope of this line?
Answer:[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
you can take 2 points (for example (0,-3) and (3,-1)) and use rise over run ([tex]\frac{x_{2} -x_{1} }{y_{2}-y_{1} }[/tex]) to find the slope, and just plug them into rise over run
What is the slope of the line that passes through the points (9, 4) and (3, 9)?
Gradient is y-step/x-step
y2-y1/x2-x1
9-4/3-9
slope of line=(-5/6)
help me please I'm nice :)
Answer:
ez boi 10 for ab 2 for ef
Step-by-step explanation:
uuu ar crazy
WORTH 50 POINTS!!!!!!!!!! a gardener made a scale drawing of a lawn with a scale factor of 1:15. the dimensions of his garden are 6 inches long by 3 inches wide. his partner plans to make another scale drawing of the lawn, but with a scale of 1:5
. what are the dimensions of his scale drawing?
Answer:
D. the length is 18 inches and the width is 9 inches.
Step-by-step explanation:
Given information:
Scale = 1 : 15.Dimensions of the lawn in the scale drawing = 6 in × 3 in.Therefore, to find the actual dimensions of the lawn, multiply the given scale dimensions by 15:
⇒ Length = 6 × 15 = 90 in
⇒ Width = 3 × 15 = 45 in
If the gardener's partner plans to make another scale drawing of the lawn with a different scale of 1 : 5, to find the dimensions of his scale drawing, divide the actual dimensions by 5:
⇒ Length = 90 ÷ 5 = 18 in
⇒ Width = 45 ÷ 5 = 9 in
Therefore, the dimensions of his scale drawing are the length is 18 inches and the width is 9 inches.
An alternative way to approach this problem is to calculate the difference between the two scales. It is clear that the original scale of 1 : 15 is 3 times the new scale of 1 : 5. Therefore, simply multiply the original dimensions by 3 to find then new dimensions of the scale drawing with a scale of 1 :5.
Answer:
the answer is below
Step-by-step explanation:
89 points to answer please help me out!
Divide.
(−37)÷(−12)
What is the quotient?
Enter your answer as a simplified fraction in the box.
Answer:6/7
Step-by-step explanation:
-3/7÷ -1/2= -3
-3 x 2
7x-1
=6/7
Answer:
6/7
Step-by-step explanation:
0.857142 repeated
:)
Raise the product to the power (xy)^4
Explanation:
Each term inside is raised to the fourth power.
The rule is (ab)^c = a^c*b^c
An example:
(2*3)^4 = 6^4 = 1296
(2*3)^4 = 2^4*3^4 = 16*81 = 1296
Therefore, (2*3)^4 = 2^4*3^4
ill give the brainiest to the person who gets it right
Answer:14
Step-by-step explanation:
abcd = wxyz
ad/dc=wz/yz
12/3=4
56/yz=4
yz=14
Answer: 14
Step-by-step explanation:
ill give brainless if you get it right
For this equation the easiest thing to start with ratios:
16:4 (scale of 4 due to 4 x 4 being = to 16)
For the y-2 to find y you first will put 8/4 (your scaling back), so 2 so 4-2 would be 2 which makes that equal to y.
Knowing that 8 is the size on the one side these are equal on the top so x-3 had to equal 8, so 11-3=8 so...
x=11
y=2
8.3x10 of a 6 would be 8,300,000 you welcome
Answer:
Correct
Step-by-step explanation:
Find the slope of the line given its graph.
Answer:
-3
Step-by-step explanation:
Use rise over run to find the sloe
Point are (1,-1) and (0,2)
Pick one point, if we pick (0,2) we can see how the y value decreased by 3 and increased by 1
-3/1
You can do this with any points on a slope
Ryan's car used 7 gallons to travel 119 miles. How many miles can the car go for each gallon of gas?
Never mind I've solved it
Answer:
Ryan's car went 17 miles for each gallon of gas.
Step-by-step explanation:
To find the answer for this problem, divide 119 by 7.
119/7=17
Ryan's car went 17 miles for each gallon of gas.
Need answer as soon as possible or today please and thank you:)
Answer: 85
Step-by-step explanation: 85 DB is the closest approximation of 12 meters.
A construction worker drew a sketch he will use as he works.
Which statement is not true?
A. The distance from the ground to the pipe is 2.5 feet.
B. The distance between the pipe and the rope is 1 foot.
C. The distance between the ground and the rope is 5 feet.
D. The distance from the ground to the pipe is 1 foot less than the distance from the ground to the rope.
THOUGHT PROVOKING The x- and y-intercepts of the graph of ax + by = k are integers. Describe the possible values of k. Explain your reasoning.
Answer:
The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis. The x- and y-intercepts of the graph of the equation 3x + 5y = k are integers
Step-by-step explanation:
Step-by-step explanation: I'm only in 6th grade but i tried my best баЪЬдчю
helppp me please :))))))))))))))))))))))))))))00
Answer:
not similar
Step-by-step explanation:
Answer:
Step-by-step explanation:
I would say not similar because they both don't have the same length and width but if you're talking about the shape itself then I would say similar because they are both quadrilaterals and trapezoids.
Triangle ABC is shown with exterior ∠z.
Determine m∠z.
49°
97°
131°
146°
Answer:
131°
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle.
The value of z:
97 + 34 = z add numbers
131 = z
heeeeeeelp me, please
pls pls help me I will give 15 points
Answer: the answer u have to create what it tells u
Step-by-step explanation:
Answer: 5:1
Example : Not really explanation but here is an example ^^
What is the scale factor between 4 cm and 10 cm ?
4 and 10 are divisible by 2
Length A : 4 ÷ 2 = 2
Length B : 10 ÷ 2 = 5
so the scale factor from A to B is 2:5
Sheldon can read 9 pages in 15 minutes. Betty can read 18 pages in 1 hour. Explain how you could use a table or graph to
find how much longer it would take Betty to read a 360-pageants book than Sheldon.
Make a table of
Betty hours longer to read the book.
First step, make ratios:
Pages: time
Sheldon: 9 pages: 15 minutes
Betty: 18 pages: 60 minutes (1 hour)
To find how long it would be for 360 you divide:
9/15 is 0.6 pages: 1 minute and 18/60 is 0.3 pages per minute
When you make the table here would be the equation:
y=.06x for Sheldon and y=.3 for betty (plug in times and create a table)
Find the slope of the line given its graph.
Please help math 100 points!
easy fractions
Answer:
B. 2 miles
Step-by-step explanation:
15 7
------- + ------
16 8
15 7(2)
------- + ------
16 8(2)
15 14 29
------- + ------ = -------
16 16 16
29
------- = 1.8125
16
1.8125 ≈ 2
I hope this helps!
help me please I would love it<3
Answer:
15
Step-by-step explanation:
3/7 = m/35
7 x ? = 35
7 x 5 = 35
so 3 x 5 = 15
Evaluate the expression.
When x=10, y=−2, and z=−5.
| xy/-y |
Please help A-sap! Voting brainiliest for correct answer!
Answer: 10
Step-by-step explanation: The answer is 10 because xy means x times y, and since x = 10 and y = -2, 10 times -2 equals -20. Now you have to divide that by --2 which is just 2. So -20/2 equals -10. -10's absolute value is 10. Thus the answer is 10.