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.
)
11
12
Which is a reasonable first step that can be used to solve the equation 4x+3(x+2) = 5(2x-3)
O Distribute the 3 to x + 2, and distribute the 5 to (2x - 3).
O Combine 4x and x on the left side of the equation.
© Apply the subtraction property of equality to move the 2 from the left to the right side of the equa
O Apply the addition property of equality to move the 3 from the right to the left side of the equation
Answer:
D
Step-by-step explanation:
At a farm, four employees harvest 48 pounds of food over a certain number of hours. Each employee works the number of hours shown. Employee A6 Employee B :4 employee C:8 employee D:8 The number of pounds of food harvested by each employee is potential to the number of hours worked.
Answer:
A harvest = 11 pound (Approx)
B harvest = 7 pound (Approx)
C harvest = 15 pound (Approx)
D harvest = 15 pound (Approx)
Step-by-step explanation:
Given:
A - 6
B - 4
C - 8
D - 8
Total harvest = 48 pound
Computation:
Total hour = 6+4+8+8
Total hour = 26 hour
A harvest = 48(6/26)
A harvest = 11 pound (Approx)
B harvest = 48(4/26)
B harvest = 7 pound (Approx)
C harvest = 48(6/26)
C harvest = 15 pound (Approx)
D harvest = 48(6/26)
D harvest = 15 pound (Approx)
Multiply out 3(2x-7)
Answer:
6x-21
Step-by-step explanation:
3*2x = 6x
3*-7 = -21
6x-21
Find the exact value of sec 3pi/2
If not defined, write undefined.
Answer: Undefined
Step-by-step explanation:
Sec 3[tex]\pi[/tex]/2 = 1/Cos(3[tex]\pi[/tex]/2) = 1/0 = Undefined
Multiply ()
Part A: What is/are the restricted value(s)?
Part B: What factor(s) can be eliminated before multiplying?
Part C: What is the simplified product?
Select all answers that apply for Part A and Part B, and select one answer for Part C.
C: 3x-12
———-
x^2+2^x
B: x+2
C:(x-4)(15x)
————-
(5x^2)(x+2)
A: -2
C: 3x-12
-———
x+2
A: 0
A: 5
C: 3x-6
———
x
A: -4
A: 2
B: x
A: 4
B: 5
B: x^2
Answer:
Step-by-step explanation:
b, i'm not sure but thats what i think.
A'B'C' is the image of ABC after a translation. Write the rule for the translation. (x,y) → ______
Answer:
A hint because i am still finding the answer, ● TRANSLATION is a transformation that SLIDES a figure horizontally (left or right), vertically (up or
down), or both on a coordinate plane.
OVER 2 1/2 UP 1/2. THIS SHOULD BE RIGHT BUT A SECOND OPINION IS GOOD TOO.
In my town, gas prices are always listed to the thousandths place. Since the smallest coin we have is the penny, we have to round them to the hundredths place. If the price of gas is $8.162, what will the price be when we round it to the hundredths place?
I believe the answer is $1.16 but sorry if this is wrong!
The math club is having a car wash to raise funds to attend a state competition they need to raise a minimum of $325 the cost of supplies for the car wash is $25 if they except 40 cars on the wall on the day of the car wash what is the amount they have to charge each car to meet the minimum goal what is the answer
Answer:
£8.75
Step-by-step explanation:
325+25=350
350/40=8.75
Which of the following values are solutions to the inequality −4≥5x−3?
Answer:
X[tex]\leq[/tex] -1/5
Step-by-step explanation:
I hope it helps
Find the sum of the finite geometric series
6 - 4 + 8/3 - 16/9 + 32/17
Answer:
The sum of geometric series 6 - 4 + 8/3 - 16/9 + 32/17 is 4.0416
Step-by-step explanation:
We need to find the sum of geometric series 6 - 4 + 8/3 - 16/9 + 32/17
The formula used to find sum of geometric series is [tex]S_n=\frac{a(1-r^n)}{1-r}[/tex]
where a is 1st term, n is number of terms and r is common ratio
so, in the given geometric series 6 - 4 + 8/3 - 16/9 + 32/17 we have
First Term a=6
Common ratio r= -0.6
Number of terms n= 5
Putting values in formula to find sum of given geometric series
[tex]S_n=\frac{a(1-r^n)}{1-r}\\S_n=\frac{6(1-(-0.6)^5 )}{1-(-0.6)}\\S_n=\frac{6(1-(-0.07776))}{1+0.6}\\S_n=\frac{6(1+0.07776)}{1.6}\\S_n=\frac{6.46656}{1.6}\\S_n=4.0416[/tex]
So, the sum of geometric series 6 - 4 + 8/3 - 16/9 + 32/17 is 4.0416
What is the slope of the line
Answer:
2 over 2. which would simplify to 1. rise over run.
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
slope = change in y over change in x
the line goes down 1 and over 1 so slope is -1/1 or -1
please help me, solve for n
Answer:
The value of n will be:
[tex]n=\frac{89}{4}[/tex]Step-by-step explanation:
Given the expression
[tex]\frac{n}{2}-8^{-1}=11[/tex]
Apply the exponent rule:
[tex]a^{-1}=\frac{1}{n}[/tex]so the expression becomes
[tex]\frac{n}{2}-\frac{1}{8}=11[/tex]
Add 1/8 to both the sides
[tex]\frac{n}{2}-\frac{1}{8}+\frac{1}{8}=11+\frac{1}{8}[/tex]
[tex]\frac{n}{2}=\frac{89}{8}[/tex]
[tex]n=\frac{89}{4}[/tex]
Therefore, the value of n will be:
[tex]n=\frac{89}{4}[/tex]Find the slope of the line that passes through
(10, 1) and (5,2)
Answer:
the slope of the line is -1/5
remember, rise over run.
Step-by-step explanation:
May I have brainliest please? :)
Answer:
[tex]m=-\frac{1}{5}[/tex]
Step-by-step explanation:
Which of the following is NOT a true bi-conditional statement?
A It is noon if and only if it is 12:00 PM.
B Two segments are congruent if and only if they have the same length.
C An angle is right if and only if its measure is 90°.
D I am a violinist if and only if I am a musician.
d
because your a musician you cant be a true statement I am wrong
Does anyone know how to like graph it for me like just tell me where they go please and thank you!
Answer:(0,4), (-1,0), (-4,-2)
Step-by-step explanation:
gallons of gas (x) miles (y)
1 30
2 60
3 90
Is there any value of x that would lead to multiple values of y? If so, write down that particular value of x.
Answer:
There is no x-value that would lead to multiple y-values.
Step-by-step explanation:
PLATO answer
Bob bought 5 books for x dollars each and a DVD for $12. Write an expression for how much money Bob spent.
Answer:
5x+12
Step-by-step explanation:
X symbolizes how many he is buying plus the extra 12 dollars
Answer:
5x+12=y
Step-by-step explanation:
Y represents the amount of money spent.
if x represents the amount of one book and Bob bought 5 books than you have to multiply the amount of one book by five to get the amount spent on all the books. Thus getting 5x
You need an equation to find how much money spent total. Thus adding $12 because Bob also bought a DVD for $12.
Therefore, the only logical equation is 5x+12=y
The graph below shows a quadratic function f(x) and an absolute value function g(x) Which of the following x-values are approximate solutions to the equations f(x) = g(x)? select all that apply
Answer:
a, b ,e
Step-by-step explanation:
The solutions to the equation f(x) = g(x) are x = -3.3 and x = 5.2
The correct answers are option (A) and option (E)
What is equation?"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
What is solution to equations?"It is a value or a set of values, when substituted for the unknowns, the equation becomes true."
For given question,
We have been given the graph of a quadratic function f(x) and an absolute value function g(x).
We need to find the x-values that are approximate solutions to the equation f(x) = g(x).
To solve the equation f(x) = g(x), we look for the points where the graphs of f(x) and g(x) intersect.
The intersection point of f(x) = g(x) appears to be at point which lie in the second quadrant and the x-value lie between -2 and -4.
Also, the second intersection point lie in the fourth quadrant where x value is in between 4 and 6.
So, the solutions to the equation f(x) = g(x) are x = -3.3 and x = 5.2
The correct answers are option (A) and option (E)
Learn more about the solution to the equation here:
https://brainly.com/question/14603452
#SPJ2
Is the line through points P(2. - 7) and Q(5, 5) parallel to the line through points R(5, 5) and S(4.1)? Explain.
Answer:
Yes they are parellel
Step-by-step explanation:
Find the slope of both
5- -7 / 5 - 2 = slope of 4
1 - 5 / 4 - 5 = slope of 4
what is a slope-intercept form of a equation of a line that passes through (-1,6) and (2,-3)
Answer:
go to m a t h w a y trust me that app is a game changer
What is the Rise Run and Slope
Answer:
Rise = 2
Run = 1
Slope = 2
Step-by-step explanation:
To find the rise you look at how much the line rises, so you can see it rises 2 after going over 1. So now we know the rise is 2 and the run is 1, because we used 1 as the run to find the rise.
The slope is found by dividing the run from the rise
[tex] \frac{rise}{run} [/tex]
So the slope is 2.
Please what is this I need help
Answer:
It is B
Step-by-step explanation:
A flea is jumping around on the number line. He starts at 3 and jumps 5 units to the left. Write the integer of where the flea is now on the number line. number line
Answer:
This is How to solve a integer: Write your number on a piece of paper. You can write your integer in a variety of ways. For instance, write your integer in standard form (such as 63), expanded form (such as 100+50+2, which in standard form would be 152) or in written form (such as one thousand two hundred thirteen).
Step-by-step explanation:
How many repeating digits are in 0 536?
Answer:
the answer is 3
Step-by-step explanation:
edge 2020
1. The Willis Tower (formerly known as the Sears Tower) in Chicago is about 1454 feet tall. A model of it has a scale of 2 in = 45 feet. How tall is the model?
Answer:
[tex]x\approx64.622\text{ inches}[/tex]
Step-by-step explanation:
We can write a proportion that relate the model lengths to the actual length. The traditional format is:
[tex]\frac{\text{Model Length}}{\text{Scale Factor}}=\frac{\text{Original Length}}{\text{Scale Factor}}[/tex]
Hence, we will substitute 1454 for the “Original Length.”
2in for the “Scale Factor” below the model.
And 45ft for the “Scale Factor” below the original.
Let the model length be x.
This yields:
[tex]\frac{x}{2}=\frac{1454}{45}[/tex]
Solve for x. Cross-multiply:
[tex]2908=45x[/tex]
Divide both sides by 45:
[tex]x\approx64.622\text{ inches}[/tex]
Therefore, the height of the model is about 64.6 inches.
Step-by-step explanation:
solution
we know that,
tower hight = 1454 feet
here
2inch=45 feet
now,
1454 feet=(1454/45)inch
1454 feet =32.31 inch
so,tower is 32.31 inch tall according to model length
this may help you (:
5 pounds of apples cost $12. How many pounds of apples can you buy for $1.
Answer:
5/12 or 0.41666667 pound
Step-by-step explanation:
Set up the equation as 5/12=x/1 and cross multiply. Then you will get 12x=5. Divide both sides by 12 and then you will get 5/12.
Answer:
5/12 of a pound or 0.42 pounds
Step-by-step explanation:
$1 is 12 times less than $12. So, if the amount of money is divided by 12, than the amount of apples you can buy is also divided by 12:
5/12 = 0.42
You can buy 5/12 of a pound or approximately 0.42 pounds of apples for $1.
GIVING BRAINLEST PLSS HELP MEEEEEEEEEEEE
Answer:
b is correct
hope that helped if yes give me brainliest and if no draw my attention by hitting the comment section
Answer:
b
Step-by-step explanation:
Rob is buying some green apples to make some fresh apple juice. The price of the green apples is G and Rob has a coupon for 10% off. Consider the expressions given in the answers. Which expression is the price of the green apple after using the coupon?
A) 1.1g
B) 0.1g
C) g – 0.1g
D) g
E) g – 0.1
Answer:
c
Step-by-step explanation:
Sarah and 2 friends go out to eat to a restaurant. Their bill is $89.50. In addition to the bill, they are going to leave a 20% tip and pay 5% in
taxes. If they decide to split the bill, how much will each person pay?
Blank 1:
Answer:
$111.87
Step-by-step explanation:
so you are going to divide this bill between two people. first you are going to divide 89.50 and divide it by 100. the answer you get you will multiply that by 20. that will be the tip they give so add that to 89.50. for the taxes you do the same but instead of multiplying by 20 you will multiply by 5. you are going to have to add that all up and then divide by 3.
Answer:
$111.87
Step-by-step explanation:
can someone help me with this :( , it’s similar triangles btw
HOPE THIS HELPS YOU
I KNOW THAT THESE TRIANGLES ARE SIMILAR BY THE WAY...
Answer:
The triangles are propotional
Step-by-step explanation:
FH = 45 = 5
BC 27 3
GH = 22.5 = 5
BD 13.5 3
GF = 30 = 10 = 5
CD 18 6 3