Answers
Answer:
Ruby is 11. Tanya is 14.
Step-by-step explanation:
Let Ruby's age eight years ago be x.
Tanya's age eight years ago = 2x.
Ruby's age now = x + 8
Tanya's age now = 2x + 8
Total age = [tex]x+8+2x+8=25[/tex]
[tex]3x+16=25[/tex]
Subtract 16 from both sides:
[tex]3x+16-16=25-16[/tex]
[tex]3x=9[/tex]
Divide both sides by 3:
[tex]\frac{3x}{3} =\frac{9}{3}[/tex]
[tex]x=3[/tex]
Ruby's age now [tex]=x+8=3+8=11[/tex]
Tanya's age now [tex]=2x+8=2(3)+8=6+8=14[/tex]
Answer:
Tanya is 14; Ruby is 11.
Step-by-step explanation:
Let T represent Tanya's current age and let R represent Ruby's current age.
We know that their ages add up to 25. So:
[tex]T+R=25[/tex]
8 years ago, Tanya was twice as old as Ruby. In other words, Tanya's current age minus 8 is the same as Ruby's current age minus 8 times 2. So:
[tex]T-8=2(R-8)[/tex]
We have a system of equations. We can solve by substitution. From the first equation, subtract R from both sides:
[tex]T=25-R[/tex]
Substitute this into the second equation:
[tex](25-R)-8=2(R-8)[/tex]
On the left, subtract. On the right, distribute:
[tex]17-R=2R-16[/tex]
Add 16 to both sides. The right side cancels:
[tex]33-R=2R[/tex]
Add R to both sides. The left cancels:
[tex]33=3R[/tex]
Divide both sides by 3:
[tex]R=11[/tex]
So, Ruby is currently 11 years old.
So, Tanya is currently 25-11 or 14 years old.
Check:
8 years ago, Ruby was 11-8 or 3 years old.
8 years ago, Tanya is 14-8 or 6 years old.
Tanya's age of 6 is 2 times Ruby's age of 3 so our answer is correct.
Related Questions
Find the midpoint of the segment with the following endpoints.
(10,7) and (5, 4)
Answers
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{(7.5 \: , \: 5.5)}}}}}[/tex]
Step-by-step explanation:
Let the points be A and B
Let A ( 10 , 7 ) be ( x₁ , y₁ ) and B ( 5 , 4 ) be ( x₂ , y₂ )
Finding the midpoint
[tex] \boxed{ \sf{midpoint = (\frac{x1 + x2}{2} , \: \frac{y1 + y2}{2})}} [/tex]
[tex] \dashrightarrow{ \sf{( \frac{10 + 5}{2} \: , \: \frac{7 + 4}{2} )}}[/tex]
[tex] \dashrightarrow{ \sf{( \frac{15}{2} \: , \frac{11}{2}}} )[/tex]
[tex] \dashrightarrow{ \sf{(7.5 \: , \: 5.5)}}[/tex]
Hope I helped!
Best regards! :D
Nick uses 1/4 cup of vinegar for every 1 cup of olive oil when making salad dressing.
Using this recipe, how much vinegar would he need to make salad dressing with 12 cups of olive oil?
Answers
Answer:
3 cups of vinegar
Step-by-step explanation:
∵ Nick uses the amount of vinegar for every 1 cup of olive oil = [tex]\frac{1}{4}[/tex] cup
∴ He will need the amount of vinegar for 12 cups of olive oil = [tex]\frac{1}{4}\times 12[/tex] cups
= 3 cups
Therefore, Nick will need 3 cups of vinegar to make salad dressing.
What is the equation of the line that has a slope of -4 and goes through (-1,6)
Answers
Answer:
y = -4x + 2
Step-by-step explanation:
We know that the equation of slope is y = mx + bWe also know that the slope is -4 given in this problem So:y = -4x + bUsing the point (-1, 6), we can substitute this point into the above equation to solve for b. (6) = -4(-1) + b6 = 4 + bb = 2Therefore the equation of the line is y = -4x + 2which words name the shape ?
Answers
Answer:
D
Step-by-step explanation:
It's these shapes because:
Rectangle- A quadrilateral with 2 pairs of congruent sides and only 90° angles is a rectangle.
Parallelogram- A quadrilateral with 2 pairs of parallel sides is a parallelogram.
Answer:
The fourth one
Step-by-step explanation: The fourth one because a parallelogram has four sides that are equal which makes a parallelogram and the second thing is it's a rectangle.
3. There are 15 members in student council. Each member must pay a yearly due
of$22.50. During the first month of school 6 members paid their yearly dues. The
remaining members paid their dues in the second moth of school. How much
money was collected in dues during the second month of the school year?
Answers
Answer:
202.50 was collected in the second month of school
Step-by-step explanation:
thee are fifteen total members and 6 had already paid witch means that 9 still had to pay. 9 times 22.50 is 202.50
I need help with this math problem please
Answers
Answer:
65 -3x = 55 -2.5x20 periods$5Step-by-step explanation:
The value of the first card starts at $65 and decreases by $3 for each of x periods. Its value is ...
65 -3x
The value of the second card starts at $55 and decreases by $2.50 for each of x periods. Its value is ...
55 -2.5x
The equation that can be used to find x that makes the values equal is ...
65 -3x = 55 -2.5x
__
The solution can be found by adding 3x-55 to both sides of this equation.
10 = 0.5x
Multiplying by 2 gives ...
20 = x
After 20 30-day periods. the cards will have the same value.
__
The value after 20 periods is ...
65 -3×20 = 65 -60 = 5
Both cards will have a value of $5 when they have the same value.
A brother and a sister want to split 300 dolars by the ratio of their age.How much money does each get if the brother is 14 and the sister is 11?
Answers
Answer:
Brother: $168.00
Sister: $132.00
Step-by-step explanation:
14 + 11 = 25
300/25=12
Brother gets (12*14) $168.00
Sister gets (12*11) $132.00
Find the value of x in each case:
Answers
Answer:
x=15
Step-by-step explanation:
5x+(180-9x)+(180-8x)=180
total of a triangle angles is 180
Answer:
15°
Step-by-step explanation:
Step 1:
180° - 8x + 5x + 180° - 9x = 180° Sum of Triangle
Step 2:
360° - 12x = 180° Algerbra
Step 3:
- 12x = 180° Algerbra
Step 4:
12x = 180° Algerbra
Answer:
x = 15°
Hope This Helps :)
2p +5q = 21
3p-2q=-16
Answers
Answer:
p =− 2
q = 5
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
p =− 2
q = 5
Answer:
q = 5
p = -2
Step-by-step explanation:
I'm gonna use elimination
2p + 5q = 21 Multiply 3 ------> 6p +15q = 63
3p - 2q = -16 Multiply 2 -------> 6p -4q = -32
6p +15q = 63
6p -4q = -32 -__________
19q = 95
q = 5
To find P use any of the equations and substitute q to 5
3p -2(5) = -16
3p -10 = -16
3p = -6
p = -2
Please help me with this!
Answers
B (-5, 2)
C (-9, 2)
D (-9, 6)
As it is just a rotation around the origin by 180, you can just change the sign in front of the numbers :)
4x plus 1 divided by 3 equals x minus 5 divided 2
Answers
2(4x+1) = 3(x-5)
8x+2 = 3x-15
8x-3x = -2-15
5x = -17
x = -17/5 (Fraction form) x = -3.4
In fraction form the answer is X equals to negative 17 divided by 5 (x = -17/5)
In decimal form the answer is X equals to negative 3 point 4 (x = -3.4)
After solving the equation, the value obtained for x will be equal to -17/5.
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given statement in the question,
The equation for the given statement will be,
(4x + 1)/3 = (x - 5)/2
8x + 2 = 3x - 15
8x - 3x = -15 - 2
Solve the equation for x.
5x = -17
x = -17/5
To know more about equation:
https://brainly.com/question/29657983
#SPJ2
[tex]1.005 = 0.005x + 0.95[/tex]
Answers
x=0.055/0.005
X=11
1.005-0.95=0.005x
0.055=0.005x
0.055:0.005=11
11=x
3. Burns has a bank account with a balance of $65.00. Burns paid $35.00 to
his credit card and he spends $40.00 for a hamburger. What would Burns's
bank balance be, after both debits were paid?
Answers
65+35=100
100-40=60
Brainliest?
What effect does decreasing the temperature of a room have on a lifespan of a battery?
Which variable is highlighted in red, bolded tex?
Answers
This question is incomplete. There are options in the question (from reference) and no highlight in the red bolded text in the question.
What effect does decreasing the temperature of a room have on a lifespan of a battery?
Which variable is highlighted in red, bolded tex?
a . Independent
b . Dependent
c . Control
d . None
But the answer to both the independent and dependent variables will be provided and explained in detail.
Answer:
Independent variable: decrease in temperature
Dependent variable: lifespan of battery
Step-by-step explanation:
The independent variable in an experiment is defined as the variable that can be changed or manipulated in order to find an outcome while the dependent variable is defined as the variable that is influenced by the changes in the independent variable.
In the given example, a decrease in temperature is the dependent variable as it is changing and the lifespan of battery is the dependent variable as it is responding to the independent variable ?9decrease in temperature).
An equation is shown below:
−2(4x − 1) − 7 = 5
Which statement shows a correct next step in solving the equation?
Answers
(4x-1)=12/-2
4x=-6+1
x=-5/4
Answer:
Distribute -2 into (4x-1) to get rid of the parenthesis.
Step-by-step explanation:
The first thing you should to in solving for 'x' is to get rid of the parentheses by distributing.
[tex]-2(4x-1)-7=5\\\\-8x-2-7=5[/tex]
Of course, you would also combine like terms to completely simplify the equation to solve for x.
[tex]-8x-9=5[/tex]
Hope this helps.
Solve the equation.
t + 25 = 26
Answers
Answer: t = 1
Step-by-step explanation:
Subtract 25 on both sides. t = 1The solution to the equation t + 25 = 26 is t = 1.
The given equation is,
t + 25 = 26
To solve this equation,
Isolate the variable t,
Which means we need to get rid of the 25 on the left side of the equation.
To do that, Subtract 25 from both sides of the equation,
since what we do to one side, we must do to the other to keep the equation balanced.
So,
t + 25 - 25 = 26 - 25.
Simplifying this, we have t = 1.
Therefore, the solution to the equation t + 25 = 26 is t = 1.
To learn more about subtraction visit:
https://brainly.com/question/17301989
#SPJ6
2x+4=8x-2 i don’t know
Answers
Answer:
x = 1
Step-by-step explanation:
2x+4=8x-2
2x - 8x = -4 -2
-6x = -6
x = 1
Steps to solve:
2x + 4 = 8x - 2
~Subtract 4 to both sides
2x = 8x - 6
~Subtract 8x to both sides
-6x = -6
~Divide -6 to both sides
x = 1
Best of Luck!
Solve.
f/5 - 24 = -28
f =
Answers
Answer:
f=260
Step-by-step explanation:
Answer:
f- -20
Step-by-step explanation:
Given A (-3,5) and B (6,7) find AB
Answers
Answer:2/9
Step-by-step explanation:
AB=[tex]\frac{7-5}{6+3}[/tex]
=[tex]\frac{2}{9}[/tex]
How can I Solve this ?
Answers
6n + 4 = -6 what does n equal
Answers
Answer:
-5/3 or -1.7
Step-by-step explanation:
Answer:
n= [tex]-1\frac{2}{3}[/tex] or [tex]-\frac{5}{3}[/tex]
Write using exponents. Work from left to right on the grid. 6 • 6 • 6
6 * 6 *6 = 6^3.
Answers
Answer:
216
Step-by-step explanation:
Given the question :
6 × 6 × 6
This depicts the product of a certain number in three places
6 × 6 × 6 = 6³
6 * 6 = 36
36 * 6 = 216
Hence, 6³ = 216
what is 8x+9x simplified completely
Answers
Add coefficients
Answer:
17x
Step-by-step explanation:
X3-6x-16=0 solve by factoring
Answers
Answer:
X = 3 √ 2 ( 3 x + 8 )
Step-by-step explanation:
Ratio of wins to losses in 42 games with 35 wins.
Answers
oh wait no nvm sorry i got t wrong im so sorry dont listen to me im trash
If m∠PTQ = 3y –10 and m∠QTR = y, find the value of y so that ∠PTR is a right angle
Answers
Answer:
y = 25
Step-by-step explanation:
Given that,
m∠PTQ = 3y –10 and m∠QTR = y
We need to find the value of y so that ∠PTR is a right angle.
For a right angle, one of the angle is 90 degrees. The sum of the angle of a triangle is equal to 180 degrees. So,
3y –10 + y + 90 = 180
Taking like terms together
3y+y = 180 -90 +10
4y = 100
y = 25
So, the value of y is 25.
What are the next two terms in the sequence?
5, 16, 27, 38 ...
Answers
Answer:
the next two terms are 49, 60
Answer:
49, 60
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence.
16 - 5 = 27 - 16 = 38 - 27 = 11
Thus to obtain the next term, add 11 to the previous term, that is
38 + 11 = 49
49 + 11 = 60
What is 4 divided by 348?
Answers
Answer:
4/348 = 0.01149425287
348/4 = 87
Step-by-step explanation:
348 divided by 4 is 87
4 divided by 348 is 0.01149425287
Hope this helps you :)
57 toys are split into groups of 4 toys. What question do we need to answer here? pls answer quick! this test is already missing and I need to complete it! please no wrong answers :(( it's due in like 20 mins :/
Answers
Answer:
im thinking its how many toys you need in each group?
Step-by-step explanation:
a woman buys a plot of land of area 0.36hectares she pays $8.50 per square meter for the land what is it's total cost
Answers
Answer:
$30,600
Step-by-step explanation:
1 hectare = 10,000 [tex]m^2[/tex]
0.36 hectare = 0.36 * 10000 [tex]m^2[/tex] = 3600 [tex]m^2[/tex]
She pays $8.50 per square meter. Thus, the total cost is:
[tex]3600 * 8.50 = \$30,600[/tex]
Answer: $30,600