Answer:
Juan = 93 years.
Gabe = 31 years.
Catherine = 25 years.
Step-by-step explanation:
Let the age of Juan = J
Let the age of Gabe = G
Let the age of Catherine = C
Translating the word problem into an algebraic equation, we have;
[tex] J = 3G[/tex] ..........equation 1
[tex] G = C + 6 [/tex] ........equation 2
[tex] J + G + C = 149 [/tex] ........equation 3
We would solve the linear equations by using the substitution method;
Substituting equation 2 into equation 1;
[tex] J = 3(C + 6)[/tex]
[tex] J = 3C + 18[/tex] ........equation 4
Substituting equation 2 and equation 4 into equation 3;
[tex] (3C + 18) + (C + 6) + C = 149 [/tex]
Simplifying the equation, we have;
[tex] 5C + 24 = 149[/tex]
[tex] 5C = 149 - 24[/tex]
[tex] 5C = 125[/tex]
[tex] C = \frac {125}{5}[/tex]
C = 25 years.
To find G; from equation 2
[tex] G = C + 6[/tex]
Substituting the value of "C" into equation 2, we have;
[tex] G = 25 + 6[/tex]
G = 31 years.
To find J; from equation 1
[tex] J = 3G [/tex]
Substituting the value of "G" into equation 1, we have;
[tex] J = 3 * 31[/tex]
J = 93 years.
Therefore, Juan is 93 years old, Gabe is 31 years old and Catherine is 25 years old.
9 1/4 + 8 3/4 + 7 1/2 + 7 1/2?
Answer:
Your answer is 33.
Step-by-step explanation:
7 1/2+7 1/2=15
9 1/4+ 8 3/4=18
18+15=33
The fractions have to have like denominators in order to add
Hope this helps
Solve 5x2 + 25 = 0 (question from algebra 1)
Answer:
well if the x is an multiplication then your answer would be False
Step-by-step explanation:
5*2+25=0
35=0
False
A restaurant charges a $100 setup fee, plus $15 per guest, to host a private party.
The table below shows the cost of hosting a private party for a certain number of
guests.
Answer: 775
Step-by-step explanation: $15 for each guest (so you need to multiply 15 by 45) then add the $100 setup fee!
15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:
Classify the triangle with side lengths of 16, 13, and 12 as acute, right, or obtuse
Answer:
16+13+12=41
Step-by-step explanation:
it is acute
find the domain of the graphed function
Answer:2 < x < 5
Step-by-step explanation:
I should look like this but with lines under the less than symbol
The domain of the graphed function is x ∈ (2,5), which is defined in the interval 2 < x < 5.
If the parent function is y = x² and it is defined in the x-coordinate interval 2 < x < 5, the domain of the graphed function would be the same interval, namely 2 < x < 5.
The domain of a function represents the set of all possible input values (x-values) for which the function is defined.
Here, since the parent function y = x² is defined for all real numbers, the domain of the graphed function will also be all real numbers within the specified interval, which is 2 < x < 5.
Thus, the domain of the graphed function is x ∈ (2,5).
Learn more about the domain and the range here:
brainly.com/question/21027387
#SPJ4
What is the quotient of 3/4 divided by 1/5?
The quotient is
3 and ___________
Answer:
The quotient is 3 and [tex]\frac{3}{4}[/tex].
Step-by-step explanation:
To find the quotient of the division (which is just the solution, really), we have to solve the division itself:
[tex]\frac{\frac{3}{4}}{\frac{1}{5}}[/tex]
[tex]= \frac{3 \cdot 5}{1 \cdot 4}[/tex]
[tex]= \frac{15}{4}[/tex]
Now that we know the quotient, we can look at the question itself to find it requires from us an answer with a whole number in it.
Therefore, we transform the fraction as thus:
[tex]\frac{15}{4}[/tex]
[tex]= 3 \frac{3}{4}[/tex]
Therefore, the final answer is 3 and [tex]\frac{3}{4}[/tex].
Hope this helped!
Write an inequality for the graph below.
Answer:
(1,-2) They are only asking for one inequality which is like (-3,0) which is the other point.
Step-by-step explanation:
if the circumference of the greatest circle of a sphere is
[tex]\pi \: cm \: find \: its \: volume[/tex]
Answer:
hlo buddy
Step-by-step explanation:
The formula for the volume of a sphere is V = 4/3 πr³.
Alex made 3/5 of a batch of cookies in 3/10 of an hour. How much time will it take him to make 1 full batch of cookies?
Answer:
[tex]\frac{1}{2}[/tex]h
Step-by-step explanation:
Let the total batch of cookies be x.
[tex]\frac{3}{5}[/tex]x = [tex]\frac{3}{10}[/tex]h
[tex]\frac{5}{5}[/tex]x = [tex]\frac{5}{3}[/tex] × [tex]\frac{3}{10}[/tex]h
x = [tex]\frac{15}{30}[/tex]h
x = [tex]\frac{1}{2}[/tex]h
Yes, because each input has an output.
Yes, because 3 has one output.
No, because 1 has two inputs.
No, because -2 has two outputs.
Answer:
no because -2 has two outputs
1 3/8 ÷ 1 2/3
quotient in lowest terms
Answer:
=33/40
Step-by-step explanation:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
118÷53
Applying the fractions formula for division,
=11×38×5
=33/40
=33/40
plzzz help me with my math it hard
Answer:
Step-by-step explanation:
5y + 4
+ (y + 7)
subtracting polynomials
Answer:6y+11
Step-by-step explanation:
Answer:I really don’t know lol
find the length of hypotenuse of a right triangle with legs of 8 and 15
Answer:
17
Step-by-step explanation:
(8×8) + (15×15) = 289
square root of 289 is 17
How many radians are in 1 degree?
A
TT
180
B
180
TT
c
TT
360
D
360
TT
Answer: C Because Radians Are Rotations 1 Radian is 360 Degrees
Step-by-step explanation:
Yo can I get some help with this!
Answer:
b=56
Step-by-step explanation:
Try
Hannah buys 13 bottles of orange juice at the corner store for a total of $13.65. if each bottle cost the same amount, how much is each bottle of juice
In a trivia game your team has -6 points. The other team has 15 points. What is the difference in points between the two teams?
Answer:
21 points
Step-by-step explanation:
The difference in points between the two teams is 15-(-6) = 21 points.
Hope this helped!
Find the volume of the rectangular prism
Answer:
Should be 9 in.
Aditi can walk 1.7 miles in half an hour. At the same constant speed, how many hours would it take her to walk 17 miles?
Answer:
It takes aditi 5 hours to walk 17 miles.
Step-by-step explanation:
First, find her speed in miles per hour.
1.7 miles in half an hour.
1.7 * 2 = 3.4
3.4 miles per hour.
To find the time, use the distance formula.
Distance = rate * time
17 = 3.4 * time
17/3.4 = time
5 = time
5x + 3y = -3
2X - 3y = 24
Answer:
Y=-5/3x-1
y=2/3x-8
If you are adding then it is:
7x=21
x=3
Step-by-step explanation:
5x+3y=-3
3y=-5x-3
y=-5/3-1
2x-3y=24
-3y=-2x+24
y=2/3x-8
Answer:
If you add the two equations, you get
-5x = -10
Step-by-step explanation:
it might be wrong
Write the slope-intercept form of the equation that is described below.
Through (-3, 3) and parallel to y = 1/3x + 5
Final Answer: [tex]y = \frac{1}{3}x + 4[/tex]
Steps/Reasons/Explanation:
There are two methods of solving this problem. Slope-intercept form and Point-slope form. I will be using the Slope-intercept form to solve this problem.
Step 1: Substitute slope from the original line ([tex]\frac{1}{3}[/tex] in this case) into the slope-intercept equation.
[tex]y = \frac{1}{3}x + b[/tex]
Step 2: Substitute the given point [tex](-3, 3)[/tex] into the x and y values.
[tex]y = \frac{1}{3}x + b[/tex]
[tex]3 = \frac{1}{3}(-3) + b[/tex]
Step 3: Solve for b (the y-intercept).
[tex]3 = \frac{1}{3}(-3) + b[/tex]
[tex]3 = -1 + b[/tex]
[tex]+1[/tex] = [tex]+1[/tex] [tex]+[/tex] [tex]b[/tex]
[tex]4 = b[/tex]
Step 4: Substitute this value for b in the slope-intercept form equation.
[tex]y = \frac{1}{3}x + 4[/tex]
~I hope I helped you :)~
Answer:
y = 1/3x + 5
Step-by-step explanation:
(-3, 3)
x , y
x1 = -3
y1 = 3
The formula we will use is y - y1 = m ( x - x1)
We will now replace y1 and x1 with the coordinate points (-3, 3).
We will keep x1 = -3, and y1 = 3.
then you will plug in the numbers giving you an equation like:
y - (3) = 1/3 (x -(-3))
y - 3 = 1/3 (x + 3)
y - 3 = 1/3x +1
+ 3 + 3
y = 1/3x + 4
I am 100% sure I am correct.
If you want free answers to your questions you can use math
way, which is a free website
It gives you FREE answers to math problems and they are always reliable.
I always use it to check my answers as I did with this problem too you may go there to check my answer if you would like just type in y = 1/3x + 5 , (-3, 3)
then when options pop up select parallel, because you want to solve for a parallel line.
I hope I helped you a lot and my answer is correct.
Please mark me as brainliest and have a good day!
3
There are 900 students in a school.
47% of the 900 students are girls.
Work out the number of girls in the school.
At a country concert, the ratio of number of boys to the number of girls is 2:7. If there are 250 more girls than boys, how many boys are at the concert?!
PLSSSSSSSS I NEED HELP ASAP PRETTY SURE THIS IS BEING GRADED!! GIVING BRAINLIEST AND 40 POINTS!!
Answer:
100 boys at the concert
Step-by-step explanation:
When changing the ratio between the number of boys to the number of girls, it always has to be equivalent to the original ratio 2:7
So, convert the ratio 2:7 to a different ratio, but it still has to be equivalent to the ratio 2:7. By doing that, multiply both sides of the 2:7 ratio by 50:
2 : 7
×50 ×50
To get:
100:350 ⇒ This ratio means that the ratio between the number of boys to the number of girls is now 100:350, but that’s okay to have because it’s still equivalent to the original 2:7 ratio.
So, using the new ratio 100:350, this means that there are 100 boys at the concert and 350 girls at the concert, and 350 is 250 more than 100 which proves what the question is asking. So there are 100 boys at the concert.
Answer: 100 boys at the concert
I hope you understand and that this helps with your question! :)
At the end of a snow storm, Audrey saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. There was a depth of 10 inches of snow on the lawn when the storm ended and then it started melting at a rate of 2 inches per hour. Write an equation for S, in terms of t, representing the depth of snow on Audreys lawn, in inches, t hours after the snow stopped falling.
The expression for S, expressed in terms of t, which represents the amount of snow on Audrey's lawn, is as follows:
S = 0 - 2t
When the storm first began, there were 10 inches of snow in Audrey's yard. This can be shown as a constant value.
2 inches of snow melt each hour when it first starts to melt. We deduct 2t from the initial depth of snow since it gets shallower with time. Here, t denotes the number of hours that have passed since the snow ceased falling.
Determine the depth of the snow on Audrey's lawn at various times by changing the value of t in the equation.
For example, if we substitute t = 1 into the equation,
S = 10 - 2(1) = 10 - 2 = 8
This indicates that 8 inches of snow would be present in Audrey's yard once the snow stopped falling in one hour. To get the depth at various times, you may similarly insert different values for t.
To know more about an equation follow
https://brainly.com/question/18262424
#SPJ12
-6n-4n please help because I have an improvement test
Answer:
-10n
Step-by-step explanation:
-6n-4n=-10
need this fast guys .
Answer:
thanks
Step-by-step explanation:
Answer:
4/3
Step-by-step explanation:
I just used rise/run
please help!!
(dont steal points pls)
Answer:
i think its 8.7 miles but i might be wrong please correct me if i am
Step-by-step explanation:
Well main street is 5.6 and there is a gab in between main street and highway 1 and its a big gab but not that big it is asking what the length and they are asking what the distance from highway 1 to main street is and that may not seem so far way but its asking from the begining of highway one. I THINK THAT IS CORRECT BUT I'M NOT VERY SURE
What is 7 divided by 9.8?
Answer:
The answer is 0.71
Step-by-step explanation:
I divided it