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
Alex rolls a six-sided number cube 570 times. Approximately how many times can he expect to roll a 5?
Answers
Answer:
95 times
Step-by-step explanation:
Probability of rolling a 5 =1/6
So no. of times 5 is expected when the number cube is rolled out 570 times = 570*1/6 = 95 times
1)First determine the probability of rolling a 5
2)Since you can only roll a 5 once in a 6-sided cube the probability is ⅙ or about 0.1667
3)Multiply the probability and the total number of rolls
.1667 * 570= 95
Answer : 95 times
y+8=-1 show your work.
Answers
Answer:
3
Step-by-step explanation:
y=11-8
=3
Answer:
3
Step-by-step explanation:
y+8=11
y=11-8
y=3
therefore the ans is 3
Hannah pays $85 per month for her cell phone plan that gives her unlimited talk and 500 outgoing text messages. After 500 text messages it costs $0.10 per outgoing text message. Write the equation that models how much she pays for her data.
Answers
Answer:
85x(500-0.10x)
Step-by-step explanation:
It rained 0.84 inches on Saturday and 0.8 inches on Sunday. How much did it rain on Saturday and Sunday combined?
Answers
Answer:
1.64
Step-by-step explanation:
The first step to do is to line up the decimal points. We have to add a zero to 0.8 so that the decimal points will align (this does not change the value).
0.84
+0.80
Then bring down the decimal point into the answer column, and add like normal.
0.84
+0.80
1.64
Hope this helps!
In the figure at right, line l is a line of symmetry, m∠B=8x-4°, and m∠D=2x+14°. Use this information to write an equation and solve for x. Hint: Set ∠B = ∠D
Answers
Answer:x=3
Given: angle B = angle D
So, 8x-4=2x+14
8x-2x=14+4
6x=18
Therefore, x=3
i need help on this please
Answers
Answer:
[tex]\frac{3}{7}[/tex] × [tex]\frac{5}{4}[/tex]
Step-by-step explanation:
Step 1. Turn the second fraction upside down (it becomes a reciprocal):
[tex]\frac{4}{5}[/tex] becomes [tex]\frac{5}{4}[/tex]
Step 2. Multiply the first fraction by that reciprocal:
[tex]\frac{3}{7}[/tex] × [tex]\frac{5}{4}[/tex] = ?
3 x 5 = 15
7 x 4 = 28
[tex]\frac{3}{7}[/tex] × [tex]\frac{5}{4}[/tex] = [tex]\frac{15}{28}[/tex]
Step 3. Simplify the fraction:
[tex]\frac{15}{28}[/tex] = [tex]\frac{15}{28}[/tex] You can't simplify this fraction
Answer:
15/28
Step-by-step explanation:
Point P is presently located at the origin. Move P, and observe how the rotated Images change. Be sure that neither the images nor the preimage overlap. Record the distances of the vertices of the prelmage ABC from P. Do the same for the other images. Round all of your answers to the hundredths place.
What can you conclude about your observations in question 4? What happened as you moved p, the center of rotation, about the coordinate plane? How can you extend your discoveries about the vertices to all point that lie on a figure or shape?
Answers
Answer:
Plato sample answer:
Answer:
Step-by-step explanation:
Hi i just like kinda forgot what that line above the two numbers in 2.21 mean. Can you help me?
Answers
Answer:
It means .21 never ends like 2.2121212121.....
Answer:
it means that what ever is under that line is repeating so it just keeps going ex. 2.212121212121212121212121212121................... and never ends
hope this helps:)
Step-by-step explanation:
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
List the first 4 terms of the sequence. f(1) = 7, f(n) = f(n-1)+4
Answers
Answer:
7, 11, 15, 19
Step-by-step explanation:
Using the recursive rule with f(1) = 7 , then
f(2) = f(1) + 4 = 7 + 4 = 11
f(3) = f(2) + 4 = 11 + 4 = 15
f(4) = f(3) + 4 = 15 + 4 = 19
The first 4 terms are 7, 11, 15, 19
nobody is helping so imma do full points.
can someone tell me the domain and range for these two graphs?
Answers
Answer: i really needed this if you look and how much points i have you might understand
UwU
Step-by-step explanation:
Complete the Table
Input. Output
1 6
2 10
3 14
4 18
5 22
... ...
n ?
Answers
Answer:
N, which is the increment is 4
can someone plz help me with this
Answers
Answer: Commutative Property of Multiplication/Addition
Step-by-step explanation:
The commutative property is simple
x + y = y + x
or for multiplication
x * y = y * x
There are two options for buying crickets option A.7 pounds of crickets for 3.15 option B.3 pounds of crickets for 1.47 which option is better to buy justify your answer
Answers
Answer: 7
pounds for 3.15 is a better option
Step-by-step explanation:
Here in this question, we want to know which of the two options is a better option for buying crickets.
To know the better option, we shall be needing the unit price in whatever system to be used;
7 pounds of crickets for 3.15;
so the unit price here will be 3.15/7 = 0.45 per pound
For the second system, we have 3 pounds for 1.47 so the unit price will be 1.47/3 = 0.49 per pound
As we can see, the first option commands a cheaper price per unit, so it is the better option to buy
HELPP. In words, write the meaning of: √a+3
Answers
Answer:
square root of a plus 3
Step-by-step explanation:
At a grocery store, Rick bought 4 loaves of bread and 3 gallons of milk for $20. Danny bought 6 loaves of bread and 2 gallons of milk for $25. Identify the cost of a loaf of bread and a gallon of milk
Answers
Hey there! I'm happy to help!
Let's call the cost of a bread loaf b and the cost of a milk gallon m. Here is the info we have.
4b+3m=20
6b+2m=25
We solve one equation for b or m (we will solve the first one for b.
4b+3m=20
Subtract 3m from both sides.
4b=20-3m
We divide both sides by 4.
b=5-3/4m
We plug this value of b into the second equation to solve for m.
6(5-3/4m)+2m=25
We use distributive property to undo the parentheses.
30-4.5m+2m=25
We combine like terms.
30-2.5m=25
We subtract 30 from both sides.
-2.5m=-5
We divide both sides by -2.5
m=2
We plug this m into one of the original equations to find b.
4b+3(2)=20
4b+6=20
Subtract 6 from both sides.
4b=14
Divide both sides by 4.
b=3.5
So, a loaf of bread costs $3.50 and a gallon of milk costs $2.00.
Have a wonderful day!:D
Garrett is cutting wood. He can cut 50 bundles an hour. Write an expression to represent the
number of bundles he can cut after h hours.
Answers
New York City has a population of 8.55 million and 300 square mile. Manhattan has 1.64 million and 23 square miles. How much greater is the population of Manhattan than New York City?
Answers
Given :
New York City has a population of 8.55 million and 300 square mile area .
Manhattan has 1.64 million and 23 square miles area .
To Find :
How much greater is the population density of Manhattan than New York City.
Solution :
Population density of New York City :
[tex]D_{NY}=\dfrac{8.55}{300}=0.029 \ million/mile^2\\\\D_{M}=\dfrac{1.64}{23}=0.071 \ million/mile^2[/tex]
Now ,
[tex]D_{M}-D_{NY}\\\\(0.071-0.029)=0.042\ million/miles^2[/tex]
Therefore , population density of Manhattan is [tex]0.042\ million/miles^2[/tex] greater than New York City .
Hence , this is the required solution .
solve the system of equations 2x+y+z=1 2x-y-3z=-3 x-2y-4z=-2
Answers
Answer:
{x,y,z} = {2,-8,5}
i had this question before
Solve for n. 11(n – 1) + 35 = 3n
Answers
11n - 11 + 35 = 3n
8n = - 24
n = - 3
Answer:
n = -3Step-by-step explanation:
Simplifying
11(n + -1) + 35 = 3n
Reorder the terms:
11(-1 + n) + 35 = 3n
(-1 * 11 + n * 11) + 35 = 3n
(-11 + 11n) + 35 = 3n
Reorder the terms:
-11 + 35 + 11n = 3n
Combine like terms: -11 + 35 = 24
24 + 11n = 3n
Solving
24 + 11n = 3n
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-3n' to each side of the equation.
24 + 11n + -3n = 3n + -3n
Combine like terms: 11n + -3n = 8n
24 + 8n = 3n + -3n
Combine like terms: 3n + -3n = 0
24 + 8n = 0
Add '-24' to each side of the equation.
24 + -24 + 8n = 0 + -24
Combine like terms: 24 + -24 = 0
0 + 8n = 0 + -24
8n = 0 + -24
Combine like terms: 0 + -24 = -24
8n = -24
Divide each side by '8'.
n = -3
Simplifying
n = -3
4. Add 2 + 7/10 + 1/2 *
2.75
3.7
32/100
16/5
Answers
Answer: 2.75
Step-by-step explanation:
please help asap
What is the factored form of this expression? 5p^3-10p^2+3p-6
Answers
Answer:
[tex](5p^2+3)(p-2)[/tex]
Step-by-step explanation:
In this problem, we need to write the factor form of expression [tex]5p^3-10p^2+3p-6[/tex].
It can be done as follows :
[tex]5p^3-10p^2+3p-6=(5p^3+3p)+(-10p^2-6)[/tex]
Taking common form the terms as follows :
[tex]=p(5p^2+3)-2(5p^2+3)[/tex]
It can be also written as :
[tex]=(5p^2+3)(p-2)[/tex]
Hence, the factored form of [tex]5p^3-10p^2+3p-6[/tex] is [tex](5p^2+3)(p-2)[/tex]
Answer: (p-2)(5p^2+3)
Step-by-step explanation:
I GOT THIS RIGHT!
what is the measure of
Answers
Answer:
Your answer is going to be D
Step-by-step explanation:
Add 100° with 30° and subtract that sum from 180°.
A water tank holds 486 gallons but leaking at a rate 4 gallons per week. A second water tank holds 648 gallons but is leaking at a rate of 7 gallons per week. After how many weeks will the amount of water in the 2 tanks? The amount of water that holds the two tanks will be the same in _ weeks.
Answers
The first tank contains
486 gal - (4 gal/week) t
gal of water after t weeks.
Similarly, the second tank contains
648 gal - (7 gal/week) t
gal of water.
The tanks hold the same amount of water when these two amounts are equal:
486 gal - (4 gal/week) t = 648 gal - (7 gal/week) t
(7 gal/week) t - (4 gal/week) t = 648 gal - 486 gal
(3 gal/week) t = 162 gal
t = (162 gal) / (3 gal/week)
t = 54 weeks
16.3 ÷ (−7.89)? It says im in highschool but im in middle school 7th grade!
Answers
Answer:
The answer is -2.066 rounded up from the thousandths
Step-by-step explanation:
It is a bit difficult to divide by such an exact value, but I hope this helps!
Write an equation in slope-intercept form for the like with slope 3/4 and y-intercept -2?
Answers
Answer:
y=3/4x-2
Step-by-step explanation:
For a slope intercept for, you have the formula y=mx+b where you would place the slope in the spot of m and the y-intercept in the spot of b.
i need help with this answer
Answers
Answer:
Im not sure but lets play warzone
Step-by-step explanation:
whats the answer 2y5+4y5−3y3−5y3
Answers
Answer: 6y^5 - 8y^3
Step-by-step explanation:
Answer: 6y5 - 8y3
Step-by-step explanation:
me when the:
-
A local pizzeria sells a small pizza
with one topping for $6 and a small
pizza with three toppings for $8. What
is the charge for a plain small pizza
and the charge for each topping?
Answers
between what two integers is √15
Answers
Answer:
3 and 4
Step-by-step explanation:
Use a calculator:
√15 ≈ 3.87298...
or
since you know √9 = 3 and √16 = 4
and √15 is between √9 and √16 you can say √15 is between 3 and 4