To solve the equation 4x - 11 = 3.2x + 13 and find the lesser solution, subtract 3.2x from both sides, simplify the equation, and solve for x. The lesser solution is x = 30.
Explanation:To solve the equation 4x - 11 = 3.2x + 13 and find the lesser solution, we need to isolate the variable x. Here are the steps:
Start by subtracting 3.2x from both sides: 4x - 3.2x - 11 = 3.2x - 3.2x + 13.This simplifies to 0.8x - 11 = 13.Add 11 to both sides: 0.8x -11 + 11 = 13 + 11.Now we have 0.8x = 24.Divide both sides by 0.8: (0.8x) / 0.8 = 24 / 0.8.This gives us x = 30.So, the lesser solution is x = 30.
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How far did Eddie Travel in all??? 30 pts
The last dot to the right would be the total distance.
So at 6 pm he had traveled 45 km.
The answer is 45.
Answer:
he traveled 10 miles
Step-by-step explanation:
He took different routes to get to his place that he needed to be
If the end points of the diameter of a circle are (8,6) and (2,0), what is the standard form equation of the circle
Answer:
[tex]\large\boxed{(x-5)^2+(y-3)^2=5^2\to(x-5)^2+(y-3)^2=25}[/tex]
Step-by-step explanation:
The standard form of an equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) - center
r - radius
We have the end points of a diameter (8, 6) and (2, 0). The midpoint of a diameter is a center of a circle. Half of a length of diameter is a length of a radius.
The formula of a midpoint of a segment:
[tex]\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)[/tex]
Substitute:
[tex]x=\dfrac{8+2}{2}=\dfrac{10}{2}=5\\\\y=\dfrac{6+0}{2}=\dfrac{6}{2}=3[/tex]
The center of a circle is (5, 3).
The formula of a length of a segment:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute:
[tex]d=\sqrt{(2-8)^2+(0-6)^2}=\sqrt{(-8)^2-(-6)^2}=\sqrt{64+36}=\sqrt{100}=10[/tex]
The length of a diameter is 10 units. The length of a radius r = 10 : 2 = 5 units.
Finally we have the equation of a circle:
[tex](x-5)^2+(y-3)^2=5^2[/tex]
6–[(−3)+(−7)]–[(−1)–(−5)–(−8)]
Answer:
4
Step-by-step explanation:
Here's all the steps, let's just remove all this confusing garbage with the adding negatives first.
6-(-3-7)-(-1+5+8)
Remember, subtracting a negative makes it positive.
6-(-10)-(12)
6+10-12
16-12
4
The expression 6–[(−3)+(−7)]–[(−1)–(−5)–(−8)] simplifies to 2 after solving the operations inside the brackets and applying the order of operations correctly.
The question asks to simplify the expression 6–[(−3)+(−7)]–[(−1)–(−5)–(−8)]. Let's break it down step by step.
Simplify inside the first brackets: (−3)+(−7) = −10.Simplify inside the second brackets: (−1)–(−5)–(−8) = 1+5+8 = 14.Substitute these values back into the original expression: 6 – (−10) – 14.Remembering that subtracting a negative is the same as adding its positive value: 6 + 10 – 14 = 16 – 14.Finally, subtract: 16 – 14 = 2.Therefore, the simplified expression is 2.
Julia estimates that Ron will buy $800 worth of produce from her each week. Last week, Ron bought $880 worth of produce. What is the absolute error? What is the ratio of the error to the actual amount? What is the percent error?
Answer:
-first one
80
- second one
80/880
- last one
9.09%
on edg.
Answer:
What is the absolute error?
✔ 80
What is the ratio of the error to the actual amount?
✔ 80/880
What is the percent error?
✔ 9.09%
Which of the following equations is the translation 2 units up of the graph of y = |x|? y = |x - 2| y = |x + 2| y = |x| - 2 y = |x| + 2
Answer:
y = |x| + 2
Step-by-step explanation:
write the expression in complete factored form. 5 (u+5) + p (u+5) =
[tex]5(u + 5) + p(u + 5) = (p + 5)(u + 5)[/tex]
Identify an equation in standard form for a hyperbola with center (0, 0), vertex (0, 17), and focus (0, 19).
An equation in standard form for a hyperbola with center (0, 0), vertex (0, 17), and focus (0, 19) is; y²/172 – x²/(6√2)² = 1
How to find the equation of a hyperbola?We are given that the hyperbola has;
Center (0, 0), Vertex (0, 17) and Focus (0, 19)
The general form of equation of the given hyperbola has a form of;
y²/a² - x²/b² = 1
Where;
±a is the y- coordinates of the vertices of the parabola (or y-intercepts).
b determines the asymptotes of the hyperbola in the equation y = ± (a/b)x.
From the vertex coordinates of (0.17), we have that; a = ± 17.
From the focus coordinates (0, 19), the y-coordinate of it is; c = 19 .
b can be found from Pythagorean theorem;
c² = a² + b²
Thus;
192 = 172 + b²
b² = 192 – 172
b² = 361 – 289
b = √72 = 6√2
The equation of the hyperbola is;
y²/172 – x²/(6√2)² = 1
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The equation in standard form for a hyperbola with the given center, vertex, and focus is y² / 289 - x² / a² = 1.
Explanation:The equation of a hyperbola in standard form is given by:
(x - h)² / a² - (y - k)² / b² = 1 or
(y - k)² / b² - (x - h)² / a² = 1
Given that the center is (0,0) and the vertex is (0,17), we can see that the hyperbola is vertically oriented. Therefore, we can use the form (y - k)² / b² - x² / a² = 1.
Since the center is (0,0), the value of (h, k) is (0,0).
The distance between the center and the vertex is 17 units, which corresponds to the value of b.
The distance between the center and the focus is 19 units, which corresponds to the value of c.
Substituting these values into the equation gives: (y - 0)² / 17² - x² / a² = 1
The equation in standard form for the hyperbola is therefore y² / 289 - x² / a² = 1
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4+x=7 describe this question in words
Answer:
3
Step-by-step explanation:
Find the value of x in the equation 4 + x = 7
Answer:
X=3
Step-by-step explanation:
4 +x =7
x =7-4
=3
Convert 9 feet to inches.
21 inches
27 inches
90 inches
108 inches
Answer:
108
Step-by-step explanation:
1 foot has 12 inches
9x12=108
In a different test, the mean score of 50 students is 54%
The students are split in two groups. Group A and Group B.
The mean score for Group A is 60% and the mean score for Group B is 50%
How many students are in Group B and how many are in Group B?
Answer:
Group A has 20 students
Group B has 30 students
Step-by-step explanation:
The mean score of 50 students is 54%, so the sum of 50 scores, divided by 50 is 54%. That means that 50(0.54) = 27 points were scored between the 50 students.
Let x represent the number of students in Group A
Let y represent the number of students in Group B
We have
0.6x + 0.5y = 0.54(50) (the points scored, times their averages is the total)
and
x + y = 50
Use substitution to solve...solve the second equation for one variable...
x = 50 - y
Now plug that into the first equation...
0.6(50 - y) + 0.5y = 27
30 - 0.6y + 0.5y = 27
-0.1y = -3
y = 30
So there are 30 students in group B, therefore there are 20 students in group A
⚠️⚠️⚠️
joby had $421.56 in her checking account when she deposited g $20 bills and k quarters. Write an expression that represents the amount of money in her account after the deposit.
Answer: [tex]421.56+20g+\frac{k}{4}[/tex]
Step-by-step explanation:
You have the following information given in the problem above:
- She had $421.56 in her checking account.
- She she deposited g $20 bills (which you can rewrite: [tex]20g[/tex]) and k quarters (which you can rewrite as folllowing:[tex]\frac{k}{4}[/tex]).
Therefore, the amount of money in her account after the deposit is the sum of the amoun she had in her account plus the amoun of money she deposited.
Then, you can write the following expression:
[tex]421.56+20g+\frac{k}{4}[/tex]
Answer:
421.56 + 20g + 1/4 k
Step-by-step explanation:
Joby had $421.56, and she deposited g $20 bills, and k quarter:
We don´t know how many $20 bills she deposited but we know it is expressed by the letter g, so she deposited $20g, and we add to that how many quarters of a dollar she added, in this case, we know that she deposited k quarters or 1/4 k dollars.
To write an expression to know the amount of money she has after the deposit we have to add:
What she had before the deposit = $421.56
The Dollars in $20 bills, we know it is = 20g
The number of dollars in a quarter of a dollar = 1/4 k
So we write:
421.56 + 20g + 1/4k
Find the area of the figure below, formed a triangle and a parallelogram
Answer:
96
Step-by-step explanation:
The area of a parallelogram is A = b*h. Substitute b = 8 and h= 6 to find the area.
A = 8*6 = 48
The area of a triangle is A = 1/2 b*h. Substitute h = 6 and b = 16 since the triangle has a length of 8 as well as the whole parallelogram.
A = 1/2 *16*6 = 48
Together the areas equal 48 + 48 = 96
which value of x is in the solution set of the following inequality? -3+5>17
Answer:
x = - 5
Step-by-step explanation:
Given
- 3x + 5 > 17 ( subtract 5 from both sides )
- 3x > 12 ( divide both sides by - 3 )
Remembering to reverse the inequality symbol when dividing/ multiplying by a negative quantity.
x < - 4 ← symbol reversed
The value of x that is in the solution set is x = - 5
Who needs Brainliest?
SHOW YOUR WORK since i need to do so
The question is what is 100^ 1/20x2x40x1000000/2=
Answer:
The answer is 200000000
Step-by-step explanation:
You take all the numbers and follow the order of operations.
1/20 x 2=
0.1 x 40=
4 x 1000000=
4000000/2=
2000000
Answer:
100²⁰⁰⁰⁰⁰⁰
Step-by-step explanation:
1/20 = .05 // .05*2 = .1 /// .1*40= 4 /// 4* 1000000 = 4000000 /// 4000000/2 = 2000000 so 100^ 1/20x2x40x1000000/2=100²⁰⁰⁰⁰⁰⁰
The revenue from selling x necklaces is r(x) -10x. The cost of buying x necklaces is c(x) 4x 15 The profit from selling x necklaces is px) -x)-c) Write a function for p(x), the profit from selling x necklaces.
O A. p(x) 6x 15
O B. p(x) -14x-15
O C p(x) -14x + 15
O D. p(x)- 6x -15
Answer:
The correct answer is B) p(x) = -14x - 15
Step-by-step explanation:
To find this, start by writing the function as indicated.
p(x) = r(x) - c(x)
Now input the functions into the appropriate spots.
p(x) = -10x - (4x + 15)
p(x) = -10x - 4x - 15
p(x) = -14x - 15
Answer:
[tex]P(x) =14x-15[/tex]
Step-by-step explanation:
The revenue from selling x necklaces [tex]r(x)= -10x[/tex]
The cost of buying x necklaces is [tex]c(x)= 4x+15[/tex]
The profit from selling x necklaces is [tex]P(x) = r(x)- c(x)[/tex]
Replace r(x) and c(x)
[tex]P(x) =-10x-(4x+15)[/tex]
[tex]P(x) =-10x-4x-15[/tex]
[tex]P(x) =14x-15[/tex]
mr.ford select 2/5 of 120 people who tied out for theatrical production
Step-by-step explanation:
2/5 is equal to 4/10, or 40 percent.
Therefore 40 percent of 120 is 120*.4, or 48
Solve the equation for x by graphing. 2-5^x=2^x-3
A.
x ≈ -1.25
B.
x ≈ 1.25
C.
x ≈ 0.75
D.
x ≈ -0.75
The answer is C, 0.75 :-)
Answer:
the solution is x ≈ 0.75
C is the correct option.
Step-by-step explanation:
We have to solve the equation [tex]2-5^x=2^x-3[/tex]
let us assume two equations
[tex]y=2-5^x...(i)\\\\y=2^x-3[/tex]
Now, in order to solve the equation by graphing method, we graph(i) and (ii) in same coordinate axis.
Graphs of these two equations has been shown in the attached picture.
The, x-coordinate of the intersection point will given the solution.
The x-coordinate of the intersection point is x = 0.746 which can be written as x ≈ 0.75
Therefore, the solution is x ≈ 0.75
C is the correct option.
Find HCF of
Question number 23
Answer: x - 2
Step-by-step explanation:
HCF is more commonly referred to as GCF (greatest common factor)
Factor each expression to see which factor(s) they have in common.
[tex]x^4 - 8x\implies x(x^3-8)\\= x\boxed{(x-2)}(x^2+4x+4)\\\\\\3x^2-8x+4\implies 3x^2-6x-2x+4\implies3x(x-2)-2(x-2)\\=(3x-2)\boxed{(x-2)}\\\\\\2x^2-5x+2\implies 2x^2-4x-x+2\implies 2x(x-2)-1(x-2)\\=(2x-1)\boxed{(x-2)}[/tex]
The only factor that all three expressions have in common is: x - 2
The system of inequalities graphed here is __________. A) inconsistent. B) indeterminate. C) consistent and dependent. D) consistent and independent.
Translate the phrase into an algebraic expression. 5 more than y
Answer: 5>y
Step-by-step explanation:
Answer:
y + 5
Step-by-step explanation:
5 more than y
y + 5
What is a 10% tip on a bill of $42.87? (Round to the nearest cent.)
10% of $42.87 = 10/100 × 42.87
= 4.287
Ans = $4.29
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Please select the answer for the question shown below.
Answer:
It has one solution
Step-by-step explanation:
3/4 z = 1/4 z - 3 + 5
Subtract 1/4 z on both sides:
2/4 z = -3 + 5
2/4 z = 2
1/4 z = 1
Substitute:
3 = 1 - 3 + 5
3 = -2 + 5
3 = 3
^^^One Solution
9282 divided by 433 with a remainder
9282 divided by 433 with a remainder is equal to 21.
Given data:
To divide 9282 divided by 433, we can use variables to represent the numbers and perform the division algebraically.
Let's denote 9282 as a dividend (D) and 433as divisor (d).
D = 9282
d = 433
We need to find the quotient (Q) when D is divided by d.
Q = D / d
Substituting the given values:
Q = 9282 / 433
To simplify the division, we can multiply both the numerator and denominator by a suitable power of 10 to eliminate the decimal point. In this case, multiplying by 10 will suffice:
Q = (9282 * 10) / (433* 10)
Q = 9282 / 433
Now, we can perform the division:
Q = 9282 / 17
So, Q = 21
The quotient is the final answer, and the remainder is 0. Therefore, 9282 divided by 433 with a remainder is equal to 21.
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Which relation does not represent a function?
A.
{(3, 0), (0, 3)}
B.
{(6, -2), (5, -2)}
C.
{(3, 4), (3, 5)}
D.
{(5, 5), (-5, -5)}
E.
{(1, -2), (-2, 1)}
Answer:
C. {(3, 4), (3, 5)}
Step-by-step explanation:
Each input can only go to one output to be a function. In other words, each x can only go to one y
Relation C has an x of 3 going to 2 different y's (4 and 5) so it is a relation not a function
Answer with explanation:
A relation is said to be function, if each element of domain has unique range or no two elements in image has same Preimage.
Option A
3 → 0
0→3
Relation is a Function.
Option B
6 → -2
5→-2
Relation is a function.
Option C
3→4
3→5
Two elements in Preimage has Distinct images. So this relation is not a function.
Option D
5 → 5
-5 → -5
Relation is a function.
Option E.
1 → -2
- 2→ 1
Relation is a function.
Option C: {(3, 4), (3, 5)}
Relation is not a function.
Julian biked a 24 km trip to Guelph.On his way there, his average speed was 12km/h.On his way home, he stopped for a break,so his average speed was only 8km/h. What was his average speed, in km.h, for the entire round trip?
Time taken by Julian to complete 24 km trip to Guelph at 12 km/h =
[tex]\frac{24}{12}=2[/tex] hours
Time taken by Julian for return trip at 8 km/h = [tex]\frac{24}{8}=3[/tex] hours
As given, the total distance is 24 + 24 = 48 km.
And the total time is 2 + 3 = 5 hrs.
Hence, the average speed for the entire trip is = [tex]\frac{48}{5}= 9.6[/tex]
The answer is 9.6 km/hour.
Bella used 2/9 of a paper pack, or 72 pieces. How many pieces of paper were there to start with?
Hello!
First, we need to find the unit rate.
72 divided by 2 = 36.
36 x 9 = 324.
There were 324 pieces of paper to start with.
Hope this helps, ~Pooch ♥
Bella used 2/9 of a paper pack, equaling 72 pieces. To find the total number, we solve the proportion (2/9) * x = 72 to deduce that the pack initially contained 324 pieces.
Bella used 2/9 of a paper pack, which amounts to 72 pieces of paper. To find out how many pieces of paper were in the pack to begin with, we need to calculate the total amount of paper in the pack.
Let's set up a proportion where the total number of sheets is x. Since 2/9 of the total is 72, we can write the equation as follows:
(2/9) × x = 72Multiply both sides by 9/2 to solve for x.x = 72 × (9/2)x = 36 × 9x = 324So, the paper pack originally contained 324 pieces of paper.
What is the truth value for the following conditional statement?
p: false
q: false
∼p → ∼q
T F → T
F T → F
F F → T
T T → T
Answer:
TT→T
Step-by-step explanation:
If p is false, then ~p is true.
If q is false, then ~q is true.
Now note that
If a and b are both true, then a→b is true.If a is true, b is false, then a→b is false.If a is false, b is true, then a→b is true.If a and b are both false, then a→b is true.In your case, both~p and ~q are true, then ~p→~q is true too (or TT→T)
The truth value of the conditional statement ∼p → ∼q is true when both p and q are false, as the conditional is false only when the antecedent is true and the consequent is false.
The question is asking us to evaluate the truth value of the conditional statement ∼p → ∼q when both p and q are false. According to the rules of propositional logic, the implication (→) is false only when the antecedent is true and the consequent is false. Here, since p and q are both false, the antecedent (∼p) is true and the consequent (∼q) is also true. Therefore, the conditional statement is true. This reflects the concept that a conditional statement is always true if either the antecedent is false or the consequent is true, hence in our case the truth value of ∼p → ∼q is true.
The 2 Triangles are similar.
What is the ratio of the corresponding side lengths? Thanks!
Answer:
see explanation
Step-by-step explanation:
The ratios of corresponding sides are
[tex]\frac{AB}{A'B'}[/tex] = [tex]\frac{BC}{B'C'}[/tex] = [tex]\frac{AC}{A'C'}[/tex], that is
[tex]\frac{4}{2}[/tex] = [tex]\frac{9}{4.5}[/tex] = 2
ASAP PLEASE HURRYYYY!!! a student wants to know how many one centimeter cubes will fit into a 10 cm by 8 cm by 12 CM box. what measures is the student trying to calculate?
A. height
B.perimeter
C. surface area
D. volume
Answer:
D
Step-by-step explanation:
Read the question carefully.
"how many one centimeter cubes will fit into a 10 cm by 8 cm by 12 cm box."
Volume is the amount in which how much can go in it.
Answer:
c. surface area because fit is the key word for surface area
Step-by-step explanation:
simplify the expression below: 3(7x) -2(4-x)
a. 12-2x
b. 13+2x
c. 23x-8
d. 20x-8
the correct answer is C to this question
Answer:
The answer is
Step-by-step explanation:
First we must follow the order of operation: Please, Excuse, My, Dear, Aunt, Sally; Paranthesis, Exponents, Multiplication, Division, Addition, and Subtration.
First it says to look for parenthesis, which there are; so we do that first;.
3(7x) -2 (4 - x)
^
21x - 2 (4 - x)
^
21x - 2 times 4 (btw, we took x away because 4 - x)
^ (now we do multiplcation)
21x - 8
^
13
answer is 13 + 2x