Answer: Eli’s age is 24 years and Cora’s age is 74 years
Step-by-step explanation:
To find Eli’s age and Cora’s age, use the following condition.
Eli’s age is represented by term ‘x’
Cora’s age is represented by term ‘3x + 2’
x + 3x + 2 = 98
Add x and 3x
4x + 2 = 98
Subtract 2 from both sides
4x = 96
Divide by 4 on both sides
x = 24
Therefore Eli’s age is 24 years
To find Cora’s age, plug in 24 for x
3(24) + 2 = 72 + 2 = 74
Answer:
Cora is 74 years old
Eli is 24 years old
Step-by-step explanation:
Cora’s age = x
Eli’s age = y
x = 3y + 2
x + y = 98
x = 98 - y
98 - y = 3y + 2
98 - 2 = 3y + y
96 = 4y
24 = y
x + 24 = 98
x = 98 - 24
x = 74
(2.5×2.0)-4.3 please slove this question and how to explain
Answer:
0.7
Step-by-step explanation:
multiply 2.5 by 2 first
5-4.3=0.7
Based on your work in Question 1 through 3, what is the relationship between the radius, AB , and the tangent line, BC ? What can you conclude about any tangent line to a circle and the radius of the circle? Explain.
Without further context I can't say much other than the radius is perpendicular to the tangent. In other words, the radius and tangent line form a 90 degree angle. This is one particular radius and its not just any radius. The radius in question must have the point of tangency as its endpoint.
The radius, AB is perpendicular to the tangent line, BC so their slopes are negative reciprocals of one another. Because I generated a circle at random for this activity, this conclusion likely applies to any tangent line to a circle. In other words, the tangent line to any circle is perpendicular to the radius at their point of intersection.
What is (sqrt2+sqrt8+sqrt18+sqrt32) to the second power P.S. not 60
Answer:
to solve that it gonna be 10 square root of 2 and in decimal form it gonna be 14.14213562
Hope this helps
Step-by-step explanation:
=====================================
Work Shown:
One approach is to simplify the stuff under the second power exponent. After that simplification, you would then square the result.
[tex]x = \sqrt{2}+\sqrt{8}+\sqrt{18}+\sqrt{32}\\\\x = \sqrt{2}+\sqrt{4*2}+\sqrt{9*2}+\sqrt{16*2}\\\\x = \sqrt{2}+\sqrt{4}*\sqrt{2}+\sqrt{9}*\sqrt{2}+\sqrt{16}*\sqrt{2}\\\\x = 1\sqrt{2}+2\sqrt{2}+3\sqrt{2}+4\sqrt{2}\\\\x = (1+2+3+4)\sqrt{2}\\\\x = 10\sqrt{2}\\\\x^2 = \left(10\sqrt{2}\right)^2\\\\x^2 = \left(10\sqrt{2}\right)*\left(10\sqrt{2}\right)\\\\x^2 = 10*10\sqrt{2}*\sqrt{2}\\\\x^2 = 100\sqrt{2*2}\\\\x^2 = 100\sqrt{4}\\\\x^2 = 100*2\\\\x^2 = 200\\\\[/tex]
So,
[tex]\left(\sqrt{2}+\sqrt{8}+\sqrt{18}+\sqrt{32}\right)^2 = 200[/tex]
-----------------------------------------------------
Checking the answer:
Using a calculator,
sqrt(2)+sqrt(8)+sqrt(18)+sqrt(32) = 14.142135623731
Then you square that to get (14.142135623731)^2 = 200.000000000001
Your calculator may not have that 1 at the end. It shouldn't be there and it's a result of rounding error. But it's close enough to 200.
I WILL GIVE BRAINLIEST AND THANKS SOLVE THE QUADRATIC EQUATION
Answer:
x = -0.907, 2.57
Step-by-step explanation:
Quadratic Formula: [tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]
Since we are given a = 3, b = -5, and c = -7 from our quadratic, we simply use the Quadratic Formula:
Step 1: Plug in variables
[tex]x=\frac{-(-5)+/-\sqrt{(-5)^2-4(3)(-7)} }{2(3)}[/tex]
Step 2: Solve
[tex]x=\frac{5+/-\sqrt{25+ 84} }{6}[/tex]
[tex]x=\frac{5+/-\sqrt{109} }{6}[/tex]
Step 3: Evaluate for decimals
You should get x = -0.906718 and 2.57338 as your answers.
Answer:
x = 2.57338441, − 0.90671775
Step-by-step explanation:
x = 5 ±√109/2 x 3
Times 2 by 3
x = 5 ± √109/6
x = 5 ± √109/6
x = 5 + √109/6
x = 5 ± √109/6
x = 5 - √109/6
x = 5 + √109/6, 5 - √109/6
x = 2.57338441, − 0.90671775
Which of the following is the complete factorization of the polynomial below? x^3-5x^2+2x+8
Answer:
(x+1)(x-4)(x-2)
Step-by-step explanation:
Pease help me I was confused
Answer:
E, 13728
Step-by-step explanation:
You can set up a equation
x=(1-0.12)(15600)
This turns out to be 13728.
The price of a technology stock was $9.77 yesterday. Today, the price fell to $9.70 . Find the percentage decrease. Round your answer to the nearest tenth of a percent.
pls I need help i don't understand this question it's confusing
Answer:
54
Step-by-step explanation:
10m +n^2 /4
= 10*5 + 4^2 /4
= 50 + 16/4
= 50 + 4
= 54
Answer:
54
Step-by-step explanation:
For each of the following statements about sets A, B, and C, either prove the statement is true or give a counterexample to show that it is false.
a. If A⊆BA⊆B and B⊆CB⊆C, then A⊆CA⊆C.
b. If A∈BA∈B and B⊆CB⊆C, then A⊆CA⊆C.
c. If A∈BA∈B and B⊆CB⊆C, then A∈CA∈C.
d. If A∈BA∈B and B∈CB∈C, then A∈CA∈C.
Answer:
a. True
b. False
c. True
d. False
Step-by-step explanation:
a. Meaning
as we can see that x is an element of Y
So notation is
[tex]x \in Y[/tex]
Therefore x is the subset of Y if each of an element of X is also an element of Y.
So notation is
[tex]X \subseteq Y[/tex]
2. (a) We need to proof
When [tex]A \subseteq B and B \subseteq C \so A \subseteq C[/tex]
We will say that A, B and C are the set that is [tex]A\subseteq B\ and\ B\subseteq C[/tex]
When A = ∅ then [tex]A\subseteq C[/tex] which shows true, as the set of empty is a subset of each set.
Hence, it is safe to say that A is not the empty set.
Now we will proof directly
Let us say x be an element of A
[tex]x \in A[/tex]
As [tex]A \subseteq B,[/tex] each of the element of A is also an element of B
[tex]x \in B[/tex]
As [tex]B \subseteq C[/tex], each if the element of B is also an element of C
[tex]x \in C[/tex]
Therefore, as we can see that each of an element of A is also known an element of C, that states [tex]A \subseteq C[/tex]
So, the given statement is true, as we conclude with a proof.
(b). We will assume {1}, B = {{1},2} and C = {{1},2,3}
As in the point a, which is an element of B, that is [tex]A \in B[/tex] which is true
As all of the elements in B are also an element in C, [tex]B \subseteq C[/tex] which is also correct.
Although, [tex]A \subseteq C[/tex] is false as 1 is an element of A that is not in C.
(c) We need to proof
When [tex]A \in B\ and \ B \subseteq C[/tex] then [tex]A \in C[/tex]
Let us assume that A, B and C are the sets that [tex]A\in B\ and\ B \subseteq C[/tex]
As, [tex]A \in B, \which\ is\ an\ element\ of\ the\ set\ B[/tex]
[tex]A\in B[/tex]
As, [tex]B \subseteq C[/tex], each of the element of B is also an element of C
[tex]A\in C[/tex]
So, its true.
(d) We will assume {1}, B = {{1},2} and C = {{1},2,3}
As in the point a, which is an element of B, that is [tex]A \in B[/tex] which is true
As {{1},2} is an element of B, [tex]B \in C[/tex] is correct
Although [tex]A \in C[/tex] is not correct as {1) is not an element in C.
SO the statement is false
What is the solution to x + 7 = 23?
3 of 12 QUESTIONS
X= 14
X=7
X = 30
X = 16
SUBMIT
Answer:
x=16
Step-by-step explanation:
x+7=23
23-7=x
x=16
PLEASE PLEASE HELP ME A pinecone drops from a tree branch that is 36 feet above the ground. The function h = -16t2 + 36 is used. If the height h of the pinecone is in feet after t seconds, at about what time does the pinecone hit the ground? Could 2 seconds be a reasonable answer to this model?
Answer:
T = 1.5s
Step-by-step explanation:
Hello,
To find the time the pincone hits the ground, we need to use the equation given.
Note that h = 0 when the pinecones hits the ground.
This question relates to motion under gravity.
h = -16t² + 36
0 = -16t² + 36
Make t² the subject of formula
16t² = 36
t² = 36 / 16
t² = 2.25
Take the square root of both sides
t = √(2.25)
t = 1.5s
The time it takes the pinecone to hit the ground is 1.5s.
Determine whether these two functions are inverses. Show your work please. f(x)= 1/x+4-9; g(x)=1/3x+9
Answer: No they are not inverses.
Step-by-step explanation:
If they are inverses, then the inverse of f(x) will equal g(x).
[tex]y=\dfrac{1}{x+4}-9\\\\\\\text{Swap the x's and y's:}\\x=\dfrac{1}{y+4}-9\\\\\\\text{Solve for y:}\\x+9=\dfrac{1}{y+4}\\\\y+4=\dfrac{1}{x+9}\\\\y=\dfrac{1}{x+9}-4[/tex]
f⁻¹(x) ≠ g(x) so they are not inverses
Jessica calculated the missing side length of one of these triangles using the Pythagorean Theorem. Which triangle was it?
E
F
G
H
Answer:
G
Step-by-step explanation:
We can find a missing length of a triangle using a Pythagorean theorem if and only the triangle is a right angled triangle.
The side of the missing length is:
a^+b^=c^
2^+4^=c^
4+16=c^
20=c^
[tex] \sqrt{20} = c ^{2} \\ 4 \sqrt{5} = c[/tex]
pleaseeeeee hellppp me pleadeee
Answer:
Mode: 100
Mean: 46.94444...
Median: 29.5
Range: 150
Step-by-step explanation:
Mode: most occurring number: 100
Mean: Plus everything and divide by how many number there is: 845/18=46.94....
Median: The middle number, but you need to line it from smallest to greatest.
0, 0, 0, 1, 3, 4, 5, 12, 29, 30, 40, 50, 100, 100, 100, 100, 121, 150
29 and 30 is in the middle. In this case, you plus 29+30 and divide by 2. =29.5
Range: Largest number-Smallest number. You also need to line it from smallest to largest: 150-0=150
Hope this helps, BRAINLIEST would really help me:)
A blueprint for a house has a scale factor n = 10. A wall in the blueprint is 7 in. What is the length of the actual wall?
840 ft.
5.83 in.
70 ft.
5.83 ft.
Answer:
5.83 ft
Step-by-step explanation:
Given that
Scale factor, n = 10
Wall in blueprint = 7 in
To find:
Length of actual wall = ?
Solution:
Whenever a blueprint is created for any house or building, it is made smaller by a scale factor.
Here this factor is 10 times.
That means, the blueprint size is 10 times smaller than that of its actual size.
Or we can say that actual wall of building is 10 times the wall of blueprint.
So, wall of building = 10 [tex]\times[/tex] 7 = 70 inches
Now, we know that 12 inches = 1 ft
1 inch = [tex]\frac{1}{12}\ ft[/tex]
70 inches = [tex]\frac{1}{12}\times 70\ ft = 5.83\ ft[/tex]
so, the answer is Wall of building is 5.83 ft.
The perimeter of a triangle is 44 inches. If
one side is 5 inches longer than the
smallest side and another side is 1 inch
less than twice the smallest side, how
many inches are there in the smallest side?
The sides are
6 inches, 8 inches and 10 inches
Explanation:I'd suggest that the question should read 'The perimeter of a triangle is 24 inches. The longest side is 4 inches longer than the shortest side, and the shortest side is three-fourths the length of the middle side. How do you find the length of each side of the triangle?'
Then the shortest side is
6
and the longest side is
10
I hope this helps :)Omar has a gift card for $40.00 at a gift shop. Omar wants to buy a hat for himself for $13.50. For his friends, he would like to buy souvenir
bracelets, which are $3.25 each. All prices include taxes.
Which inequality can be used to solve for how many bracelets Omar can buy?
OA.
3.25x + 13.50 < 40
O B.
3.25x + 13.50 > 40
OC.
13.50X+3.25 < 40
OD
13.50x + 3.25 2 40
Answer:
The answer is A- 3.25x + 13.50 < 40
Answer:
13.50X+3.25 < 40
HELP ME PLSSSSSSSSSSS ALL MY POINTS
Answer:
B
Step-by-step explanation:
You can not take a square root of a negative number, because than it will become imaginary. So X has to be equal to or greater than 10.
Please answer this in two minutes
Answer:
469.4ft²
Step-by-step explanation:
We have ∆ WXY in the above question,
From which we have obtained the following values
Angle W = 27°
Angle X = ?
Angle Y = 40°
Side w =?
Side x = ?
Side y = 38ft
Area of the triangle= ?
Step 1
We find Angle X
We know that the Sum of angles in a triangle = 180°
In the question above, we are given 2 angles
Hence,
Angle X = 180 - ( Angle W + Angle Y)
= 180° - (27 + 40)°
= 180° - 67°
Angle X = 113°
Step 2
Find the sides w and x
We find these sides using the Rule of sines
Rule of Sines =
a/ sin A = b/ Sin B = c/Sin C
Hence for triangle WXY
w/ sin W = x/ sin X = y/ sin Y
We have the following values
Angle W = 27°
Angle X = 113°
Angle Y = 40°
We are given side y = 38ft
Determining side w
w/ sin W= y/ sin Y
w/sin 27 = 38/sin 40
Cross Multiply
sin 27 × 38 = w × sin 40
w = sin 27 × 38/sin 40
w = 26.83879ft
w = 26.84ft
Determining side x
w/ sin W = x/ sin X
26.84/ sin 27 = x/sin 113
Cross Multiply
sin 113 × 26.84 = x × sin 27
x = sin 113 × 26.84/sin 27
x = 54.42041ft
x = 54.42ft
To find the area of triangle WXY
We apply the use of heron formula
= √s(s - w) (s - x) (s - y)
Where S = w + x + y/ 2
s = (38 + 26.84 + 54.42)/2
s = 59.63
Area of the triangle = √59.63× (59.63 - 38) × (59.63 - 26.84 ) × (59.63 - 54.42)
Area of the triangle = √ 220343.61423
Area of the triangle = 469.40772706541ft²
Hence, Approximately to the nearest tenth =469.4yd²
Help please... thx if you do
Answer:
C.
Step-by-step explanation:
y≥-3
{y:y=-3,-2,-1....}
y<0
{y:y=...-3,-2,-1}
When we see the above inequalities they both start from zero and then go toward the negative numbers.
Hope this helps ;)❤❤❤
Let me know if there is an error in my answer!
It takes 464646 minutes for 101010 people to paint 333 walls. How many minutes does it take 444 people to paint 666 wallsIt takes 464646 minutes for 101010 people to paint 333 walls. How many minutes does it take 444 people to paint 666 walls?
Answer:Answer: It takes 4 person 230 mins to paint 6 walls
Step-by-step explanation:
10 people : 46 mins : 3 walls
--------------------------------------------------------------------------------------
Find the number of people needed to paint 6 walls
--------------------------------------------------------------------------------------
(10 x 2) people : 46 mins : (3 x 2) walls
20 people : 46 mins : 6 walls
⇒ It takes 20 people 46 mins to paint 6 walls.
--------------------------------------------------------------------------------------
Find amount of time to paint all 6 wall by 1 person
--------------------------------------------------------------------------------------
(20 ÷ 20) people : (46 x 20) mins : 6 walls
1 person : 920 mins : 6 walls
⇒It takes 1 person 920 mins to paint 6 walls
--------------------------------------------------------------------------------------
Find the amount of time to paint 6 walls by 4 people
--------------------------------------------------------------------------------------
(1x 4) person : (920 ÷ 4) mins : 6 walls
4 person : 230 mins : 6 walls
⇒ It takes 4 person 230 mins to paint 6 walls
--------------------------------------------------------------------------------------
Answer: It takes 4 person 230 mins to paint 6 walls
--------------------------------------------------------------------------------------
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
The population of a city increase exponentially at a rate of x% every 5 years
In 1960 the population was 60100
In 2015 the population was 120150
Calculate the value of x
Answer:
1.1460277. Put in your decimal place given to you.
This is the percentage rate.
Step-by-step explanation:
f(x)=0=60100
55=120150
60100=a*b^0
120150/60100=60100/60100*b^5
b^5^(1/5)=5square root(120150/60100)=1.14860277
The roof of a cabin is to be shingles at a cost of $70 of a square ( a square, shingling, is a region with an area of 100 sq. ft.) Find the cost of the shingling the roof shown, assuming the roof is symmetrical
Answer:
Just multiply 2 by (36*15) which equals 1080
Than divide 1080 by 100
1080/100
Which would give us 10.8 10.8 * 70 = $756.00
So, the answer is $756.00
Step-by-step explanation:
Henry showed all the steps he took to solve the equation. 4 (negative one-half x + 7) + 5 x = 15 Step Simplified Expression 1 -Negative 2 x + 28 + 5 x = 15 2 3 x + 28 = 15 3 3 x = 15 4 x = 5
C) Step 3 is wrong because the subtraction property of equality was used incorrectly.
I just took the quiz on edge
Answer:
its c
Step-by-step explanation:
i did the test on edge
What is the simplified form of y^2+7y+12/y^2-2y-15? Choices:
Answer:
[tex] \frac{y + 4}{y - 5} [/tex]Option C is the correct option
Step-by-step explanation:
[tex] \frac{ {y}^{2} + 7y + 12}{ {y}^{2} - 2y - 15 } [/tex]
Write 7y as a sum
[tex] \frac{ {y}^{2} + 4y + 3y + 12}{ {y}^{2} - 2y - 15} [/tex]
Write -2y as a difference
[tex] \frac{ {y}^{2} + 4y + 3y + 12}{ {y}^{2} + 3y - 5y - 15} [/tex]
Factor out y from the expression
[tex] \frac{y(y + 4) + 3y + 12}{ {y}^{2} + 3y - 5y - 15 } [/tex]
Factor out 3 from the expression
[tex] \frac{y(y + 4) + 3(y + 4)}{ {y}^{2} + 3y - 5y - 15 } [/tex]
factor out y from the expression
[tex] \frac{y(y + 4) + 3(y + 4)}{y(y + 3) - 5y - 15} [/tex]
Factor out -5 from the expression
[tex] \frac{y(y + 4) + 3(y + 4)}{y(y + 3) - 5( y + 3)} [/tex]
factor out y + 4 from the expression
[tex] \frac{(y + 4)(y + 3)}{y(y + 3) - 5(y + 3)} [/tex]
Factor out y + 3 from the expression
[tex] \frac{(y + 4)(y + 3)}{(y + 3)(y - 5)} [/tex]
Reduce the fraction with y + 3
[tex] \frac{y + 4}{y - 5} [/tex]Hope this helps..
Best regards!!
Find the volume of the figure.
Answer:
144cm^3
Step-by-step explanation:
A=1/2bh = 1/2 (6)(8)
=24
v=A×H=(24)(6)
=144cm^3
Answer: 144 cm³
Step-by-step explanation:
The volume of a triangular prism can be found by multiplying the area of the base by the prism height. Thus, first calculate the area of the triangle(1/2*bh): 24. Then multiply 24*prism height(6) to get 144.
Do you find this with synthetic and long divison?
Answer:
p=-2
Step-by-step explanation:
we can solve by both methods
if it is divisible by x-1,then remainder is zero.
i solve by synthetic division.
x-1=0,x=1
1 | 1 -1 p 2
| 1 0 p
_________
1 0 p |2+p
Here 2+p is remainder.
p+2=0
p=-2
What is the slope of line m?
Answer:
2.
Step-by-step explanation:
The slope is calculated by doing rise over run.
The rise is: 6 - 0 = 6.
The run is: 0 - (-3) = 0 + 3 = 3.
6 / 3 = 2 / 1 = 2.
Hope this helps!
Use De Morgan's laws to write negations for the statement. Sam is an orange belt and Kate is a red belt.
A. Sam is an orange belt or Kate a red belt.
B. Sam is not a red belt and Kate is not an orange belt.
C. Sam is not an orange belt and Kate is not a red belt.
D. Sam is not a red belt or Kate is not an orange belt.
E. Sam is not an orange belt or Kate is not a red belt.
Answer:
C. Same is not an orange belt and Kate is not a red belt.
Step-by-step explanation:
The negation for the statement is Sam is not an orange belt or Kate is not a red belt.
What is Negation of De- Morgan's Law?The negation of a conjunction is equivalent to the disjunction of the negation of the statements making up the conjunction. To negate an “and” statement, negate each part and change the “and” to “or”.
Given statement:
Sam is an orange belt and Kate is a red belt.
Now, to make the negation we have to consider the rule "To negate an “and” statement, negate each part and change the “and” to “or”."
So, the negation statement would be
Sam is not an orange belt or Kate is not a red belt.
Learn more about De Morgan's laws here:
https://brainly.com/question/13317840
#SPJ2
Question 14. A carousel makes one complete revolution every 75 seconds. Levi sits on the carousel 4 feet from its center. If the length of a carousel ride is 5 minutes, how many feet did Levi travel? E. 4 F. 16 G. 8π H. 32π
Answer:
The correct option is;
H. 32·π
Step-by-step explanation:
The given information are;
The time duration for one complete revolution = 75 seconds
The distance from the center of the carousel where Levi sits = 4 feet
The time length of a carousel ride = 5 minutes
Therefore, the number of complete revolutions, n, in a carousel ride of 5 minutes is given by n = (The time length of a carousel ride)/(The time duration for one complete revolution)
n = (5 minutes)/(75 seconds) = (5×60 seconds/minute)/(75 seconds)
n = (300 s)/(75 s) = 4
The number of complete revolutions - 4
The distance of 4 complete turns from where Levi seats = 4 ×circumference of circle of Levi's motion
∴ The distance of 4 complete turns from where Levi seats = 4 × 2 × π × 4 = 32·π.