Jenny is x years old. Thomas is 3 times as old as her. Jenny is 5 years older than Alexis.
A) Find Alexis's age in terms of x
B) Find Thomas's age in terms of x.
C) If x=12, how much older is Thomas than Jenny?..
Answer:
A) Alexis is x-5 years old
B) Thomas is 3x years old
C) Thomas is 24 years older than Jenny (3×12=36 ; 36-12)
Alexis's age is x - 5.
Thomas's age is 3x.
Thomas is 24 years older than Jenny.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
A)
Jenny = x years old
Alexis = 5 years younger than Jenny.
So,
Alexis's age in terms of x.
Alexis's age
= Jenny's age - 5
= x - 5
B)
Thomas = 3 times as old as Jenny.
Thomas's age in terms of x.
Thomas's age = 3x
C)
x = 12,
Jenny = 12 years old.
Alexis = 5 years younger than Jenny,
So,
Alexis's age
= Jenny's age - 5
= 12 - 5
= 7
Now,
Thomas = 3 times as old as Jenny.
And,
Jenny = 12 years old.
Thomas's age
= 3x
= 3 x 12
= 36
Now,
Thomas's age - Jenny's age
= 36 - 12
= 24
Therefore,
Alexis's age = x - 5.
Thomas's age = 3x
Thomas is 24 years older than Jenny.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Determine center point and radius in the equation x^2+y^2-6y+1=0
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Answer:
center: (0, 3)radius: 2√2Step-by-step explanation:
The equation can be put into standard form by "completing the square" for each variable. The x-term is already a square, so we need do this only for the y-term.
x^2 +(y^2 -6y) = -1
x^2 +(y^2 -6y +9) = -1 +9 . . . . . . add (-6/2)^2 to complete the square
x^2 +(y -3)^2 = 8 . . . . standard form equation
__
Comparing the above equation to the form:
(x -h)^2 +(y -k)^2 = r^2 . . . . . . . circle centered at (h, k), radius r
we see that (h, k) = (0, 3) and r^2 = 8 ⇒ r = 2√2.
The center point is (0, 3); the radius is 2√2.
Two lines, C and D, are represented by the equations given below:
Line C: y = x + 14
Line D: y = 3x + 2
Which of the following shows the solution to the system of equations and explains why? (5 points)
a
(6, 20), because both lines pass through this point
b
(6, 20), because the point does not lie on any axis
c
(3, 11), because one of the lines passes through this point
d
(3, 11), because the point lies between the two axes
Answer:
The answer is c
Step-by-step explanation:
PLSSS HELP ME ASAPPPPPPP
Pls help extra points and mark brainlist

Answer:
(3,2)
Step-by-step explanation:
...................
Use the shell method to compute the volume (CALCULUS HELP!!!)
Use the shell method. The volume is
V = 2π ∫₅⁸ (x - 5) x ² dx
V = 2π ∫₅⁸ (x ³ - 5x ²) dx
V = 2π (1/4 x ⁴ - 5/3 x ³) |₅⁸
V = π/6 (3x ⁴ - 20x ³) |₅⁸
V = π/6 ((3 × 8⁴ - 20 × 8³) - (3 × 5⁴ - 20 × 5³))
V = 891π/2
What is the correct factorization of 3x2 + 14x + 8?
a. (3x + 4) (x + 2)
b. (3x + 2)(x + 4)
c. (3x + 8) (x + 1)
d. (3x + 1)(X + 8)
Answer: hope it is helpful to you
Answer:
b.(3x+2)(x+4)
Step-by-step explanation:
3x²+14x+83x²+12x+2x+83x(x+4)+2(x+4)(3x+2)(x+4)hope it helps.
Suppose you work for a large coffee distributor that has a secret coffee blend it sells to local stores. You mix the Gazebo blend with the Mexican Shade Grown blend, but always in the same proportion. Yesterday, you mixed 90 pounds of the Gazebo blend with 27 pounds of the Mexican Shade Grown blend. Today, there is 60 pounds of the Gazebo coffee left in stock. How many pounds of the Mexican Shade Grown coffee should you mix with it to get your secret blend?
Answer:
18lbs of Mexican Shade Grown coffee
Step-by-step explanation:
Since this is a ratio problem and we are given three values and one variable x (pounds of Mexican Shade Grown coffee needed) we can use the Rule of Three to solve this problem. In this rule we simply multiply the diagonal available values and divide by the third value to get the value of the variable, like so...
90lbs Gazebo <=====> 27lbs Mexican Blend
60lbs Gazebo <=====> x lbs Mexican Blend
(60 * 27) / 90 = x
1620 / 90 = x
18 lbs = x
We need 18lbs of Mexican Shade Grown coffee blend to mix with the 60lbs of Gazebo blend
Pls help me , I ll give u the brainliest
Answer: 3.4 miles per day
Step-by-step explanation:
Add all together then divide by total number of people...
(0x2)+(1x1)+(3x4)+(4x2)+(5x3)+(6x2)=
0+1+12+8+15+12=48
48 total miles walked 14 people walked
48/14=3.42 average
rounded to nearest tenth...
3.4 miles per day
Prove that if triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides, their associated Saccheri quadrilaterals are congruent. (HINT: Recall that the angle sum for a triangle is equal to the sum of the measures of the summit angles of its associated Saccheri quadrilateral and that the two summit angles of a Saccheri quadrilateral are congruent.)
Answer:
According to theorem 7.5
Π ABB'A' ≅ Π DEE'D'
therefore by transitivity of equivalence it is proven that triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides
Step-by-step explanation:
To prove that triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides :
Assume: б(Δ ABC ) = б(Δ DEF ) and also AB ≅ DE
let Π ABB'A' and DEE'D' be taken as the saccheri quadrilaterals that corresponds to Δ ABC and Δ DEF respectively
Following the Lemma above; б(Π ABB'A' ) = б( Π DEE'D' ) given that
AB = summit of ABB'A' and DE = summit of DEE'D' also AB ≅ DE
According to theorem 7.5
Π ABB'A' ≅ Π DEE'D'
therefore by transitivity of equivalence it is proven that triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides
The art club had an election to select a president. 10% of the 10 members of the club voted in the election. How many members voted?
Answer:
1
Step-by-step explanation:
10 percentage of 10 is 1
Lacey and Rita are adding books to their class libraries. Lacey’s classroom started out with 14 books and she plans to but 2 more books per week. Rita started out with 22 books, and she has enough money in her budget to purchase one book per week. At some point, the teacher’s will have the same amount of books. Which week will have the same number of books and how many books will each class have?
Answer:
in 8 weeks they will each have 30 books
Step-by-step explanation:
Lacey: y = 2x + 14
Rita: y = x + 22
y = # weeks
x = # books
set equations equal to each other:
2x + 14 = x + 22
x + 14 = 22
x = 8
solve for 'y':
y = 8 + 22
y = 30
Need answer asap, will give brainliest.
The solution is the point where the lines cross. So (-1, -2)
Justine earned a total lifetime income of
$1,050,000 as a flight attendant. Her sister
Abigail earned a total lifetime income of
$4,800,000 as an attorney. If each sister worked
for 30 years, how much greater was Abigail's
annual salary than Justine's?
Answer:
$125,000
Step-by-step explanation:
In 30 years, Abigail earned the following amount more than Justine:
$4,800,000 - $1,050,000 = $3,750,000
Per year, the difference is
$3,750,000/30 = $125,000
Answer: $125,000
QUESTION 33 A farmer would like to evaluate Miracle Grow when used on his potted daisy plants. He sets up 20 plants in a room all facing the same window, obtaining the same amount of sunlight, and waters them identically each day. For a month, he monitors how much each plant grows. Then, he adds Miracle Grow to every pot and monitors how much each plant grows during a month with Miracle Grow. At the end of two months, he discovers that 14 plants grew more with Miracle Grow. Test the hypothesis that Miracle Grow increases plant growth (using an alpha level of .01). a) Is this a one-tailed or two-tailed test
Answer:
a) It is a one-tailed test
Step-by-step explanation:
The number of plants he sets up in the room, n = 20
The number of plants that grew more with Miracle Grow = 14
The alpha level α = 0.01
A one-tailed test is used when the critical-area of interest in the distribution is either to the left or right of a value on the number line. That is the test is concerned if the test result is either less than or more than a value
In the test the farmer subjects all 20 plants to the same test treatment without any control experiment, therefore, the farmer evaluates the plants based on how much they grow compared to each other, that is if they grow more or less than their pairs
Therefore a one-tailed test should be used.
Solve for Y= 1680 + 0.72
Shenelle has 100 meters of fencing to build a retangular Garden. The garden's area as a función of the garden's widrh X is modeled By A(x)= -(x-25)+625
Answer:
625 metres
Step-by-step explanation:
Given the area function expressed as a(w)=-(w-25)^2+625.
The maximum area occurs at when da/dw = 0
da/dw = -2(w-25)
0 = -2(w-25)
-2(w-25) = 0
w - 25 = 0
w = 25
Substitute w = 25 into the modeled equation;
Recall a(w)=-(w-25)^2+625.
a(25)=-(25-25)^2+625
a(25) = 0+625
a(25) = 625
Hence the maximum area possible is 625 metres
Rowanda jogged 2.13 kilometers farther than Terrance.
Select the values that could represent how far each student jogged.
Select all that apply.
A Rowanda: 6.9 km, Terrance: 4.77 km
B Rowanda: 4.7 km, Terrance: 2.67 km
C Rowanda: 7.27 km, Terrance: 5.14 km
D Rowanda: 3.52 km, Terrance: 1.49 km
Answer:
A and C
Step-by-step explanation:
A tree is 18 feet tall and casts a shadow 12 feet long. A building nearby casts a shadow that measures 22 feet long. How tall is the building?
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Answer:
33 ft
Step-by-step explanation:
The object is 18/12 = 3/2 times as tall as the shadow it casts.
The building is 3/2 times as tall as its shadow:
(3/2)(22 ft) = 33 ft
The building is 33 ft tall.
Answer:
the answer is 33 feet
Step-by-step explanation:
:))
Ella and 3 friends are going ice skating. They hire 4 pairs of ice skates for 3 hours. The formula below is for working out the cost of hiring the stakes including a deposit.
C=s(3h+5)
C
= total cost
s
= number of pairs of ice skates
h
= number of hours
How much will it cost to hire 4 pairs of ice skates?
s = 4
h = 3
C = ?
C = s(3h + 5)
C = 4(3·3 + 5)
C = 4(9 + 5)
C = 4(14)
C = ?
ANSWER: It costs 56 dollars
Can someone PLEASE HELP FOR 15 POINTS!
(Classify each pair of angles listed below as adjacent or vertical)
Which could be the function graphed below?
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Answer:
(a) f(x) = √x -2
Step-by-step explanation:
The square root function has no horizontal shift, so the expression under the radical is simply x with no added terms. There is only one such answer choice, which also shows the necessary translation downward by an added negative constant.
[tex]f(x)=\sqrt{x}-2[/tex]
Answer:
the answer is A.
Step-by-step explanation:
:))))))
PLEASE HELP ME ANYONE :(
Answer
B
Step-by-step explanation:
5*5*6=150
Answer:
150
Step-by-step explanation:
what a hypothesis in science
PLEASE HELP ME!!!
No links ,answers only!!!
Answer:
[tex]f(-4) = 64[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (1,2)[/tex]
[tex](x_2,y_2) = (2,1)[/tex]
Required
Find f(-4)
We have that:
[tex]y = ab^x[/tex]
For [tex](x_1,y_1) = (1,2)[/tex]
[tex]2 = ab^1[/tex]
[tex]2 = ab[/tex]
For [tex](x_2,y_2) = (2,1)[/tex]
[tex]1 = ab^2[/tex]
Rewrite as:
[tex]1 = ab * b[/tex]
Make b the subject
[tex]b = \frac{1}{ab}[/tex]
Substitute: [tex]2 = ab[/tex]
[tex]b = \frac{1}{2}[/tex]
Substitute [tex]b = \frac{1}{2}[/tex] in [tex]2 = ab[/tex]
[tex]2 = a * \frac{1}{2}[/tex]
[tex]a = 2 * 2[/tex]
[tex]a = 4[/tex]
To calculate f(-4), we have:
[tex]f(x) = ab^x[/tex]
[tex]f(-4) = 4 * \frac{1}{2}^{(-4)}[/tex]
[tex]f(-4) = 4 * 16[/tex]
[tex]f(-4) = 64[/tex]
The area of a rectangular wall of a barn is 54 feet. It’s length is 12 feet longer than twice it’s width. Find the length and width of the wall of the barn.
Answer:the width is 3 feet
Step-by-step explanation:
g Sardar has two old rich aunts, Betty and Gwenda. Assume they will both die before he does. For each aunt, Sardar thinks the chance that she will leave him some money if she dies first is 1/3. But Sardar thinks that if Gwenda dies first, the chance that Betty will leave him money is only 1/4, and if Betty dies first, the chance Gwenda will leave him money is also 1/4. What is the probability that he will inherit at least some money by the time they both die
Answer:
Sardar has a 29% chance of inheriting at least some money.
Step-by-step explanation:
Since Sardar has two old rich aunts, Betty and Gwenda, assuming they will both die before he does, for each aunt, Sardar thinks the chance that she will leave him some money if she dies first is 1/3, but Sardar thinks that if Gwenda dies first, the chance that Betty will leave him money is only 1/4, and if Betty dies first, the chance Gwenda will leave him money is also 1/4, to determine what is the probability that he will inherit at least some money by the time they both die the following calculation must be performed:
(1/3 + 1/4) / 2 = X
(0.333 + 0.25) / 2 = X
0.58333 / 2 = X
0.29 = X
Therefore, Sardar has a 29% chance of inheriting at least some money.
Based on the various probabilities that Sardar's aunts will leave him money when they die, the probability that he will at least inherit some money is 0.4375.
What is the probability that he will inherit at least some money?This can be found by the formula:
= Probability that Gwenda leaves money + Probability that Betty leaves money - Probability that both leave money
Solving gives:
= 1/4 + 1/4 - (1 / 4 x 1 / 4 )
= 1/2 - 1/16
= 0.4375
Find out more on probabilities at https://brainly.com/question/24756209.
What is the value of y ?
[tex]y^{2}=6*(6+2)\\\\y^{2}=48\\\\4\sqrt{3}[/tex]
Hi I have a question pls DON’T give a link
Answer:
5. x=11
6.x=9
Step-by-step explanation:
5. 8 x 3=24
264/24=11
6. 4.5 x 4= 18
162/18=9
[1 6 9 3]
[2 5 8 1]
[0 2 2 4]
what are the dimensions of the matrix
Answer:
4 by 3
Explanation:
Rows by columns