Given:
Four equations are
[tex] 7 x + 1 = 7 x+ 1[/tex]
[tex]3 x + 2 = 3 x-2[/tex]
[tex]4 x + 1 = 3 x + 8[/tex]
[tex]-2x-1 = -2 x-1[/tex]
To find:
Without solving which equation has no solution.
Solution:
We know that, in an equation
1. No solution : When variable terms are same but constants are different.
2. Unique solution : When variable terms are different.
3. infinitely many solution : When variable terms and constants are same.
In first and fourth equations, terms on left sides are equal to the terms on the right side. So, LHS = RHS for any value of x.
Therefore, these two equations (first and fourth) have infinitely many solutions.
In second equation, variable terms are same on both sides, but the constants are difference. So, LHS ≠ RHS for any value of x.
Therefore, the second has no solutions.
In third equation, coefficient of x are difference on both sides.
So, this equation has unique solution.
Therefore, Jubal's equations [tex]3 x + 2 = 3 x-2[/tex] has no solution. Hence, the correct option is B.
Answer:
D
Step-by-step explanation:
9. During training, a hurdler wants to raise the height of the hurdles from the high school standard of 39 inches to the
NCAA standard of 42 inches. His best race from last season included a clear over a 39-inch hurdle that was modeled by
h(t) = (-0.0251)(1-25), where t is time (in tenths of a second) after his lead leg left the track and h is the height (in feet).
If he runs as well as his best race last year, will this hurdler clear the new height? Why or why not
Answer:
Something doesn't make sense. The time when his height is 0 is time t=0 and t=25.
The vertex would be halfway in between at time t=(0+25)/2 = 12.5 seconds.
But plugging that in, we get a height of:
3.90625 inches
I think you must have a typo... let's try this equation instead:
h(t) = (-0.25t)(t - 25)
In that case, the maximum at h(12.5) is 39.0625 inches.
Answer:
No, the function for his height has him just barely clearing 39 inches. He can't clear 42 inches.
10
No, according to the function for his height, he only just clears 39 inches. He is unable to jump 42 inches.
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Something doesn't make sense. The time when his height is 0 is time t=0 and t=25.
The vertex would be halfway in between at time t=(0+25)/2 = 12.5 seconds.
But plugging that in, we get a height of:
3.90625 inches
h(t) = (-0.25t)(t - 25)
In that case, the maximum at h(12.5) is 39.0625 inches.
Therefore, the according to the function for his height, he only just clears 39 inches. He is unable to jump 42 inches.
To know more about an expression follow
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Unit 4 Homework 2 Gina Wilson all things algebra,
Pls help!
Answer:
1. m∠1 = 45°
2. m∠1 = 129°
3. m∠1 = 37°
4. m∠1 = 88°
m∠2 = 42°
m∠3 = 113°
5. m∠1 = 62°
m∠2 = 45°
m∠3 = 24°
6. m∠1 = 128°
m∠2 = 52°
m∠3 = 47°
m∠4 = 133°
7. m∠1 = 41°
m∠2 = 85°
m∠3 = 95°
m∠4 = 85°
m∠5 = 36°
m∠6 = 50°
m∠7 = 107°
8. x = 9°
10. x = 5°
11. x = 7°
Step-by-step explanation:
1. m∠1 = 180° - (76° + 59°) = 45°
m∠1 = 45°
2. m∠1 = 62° + 67° = 129°
m∠1 = 129°
3. m∠1 = 152° - 115° = 37°
m∠1 = 37°
4. m∠2 = 42° (Alternate angles)
m∠1 = 180° - (50° + m∠2) = 180° - (50° + 42°) = 88°
m∠1 = 88°
m∠3 = 180° - (25° + 42°) = 113°
m∠3 = 113°
5. m∠3 = 73° - 49° = 24°
m∠3 = 24°
m∠2 = 118° - 73° = 45°
m∠2 = 45°
m∠1 = 180° - (73° + 45°) = 62°
m∠1 = 62°
6. m∠2 = 52° (Alternate interior angles)
m∠1 = 180° - 52° = 128° (The sum of angles on a straight line)
m∠1 = 128°
m∠3 = 47° (Alternate interior angles)
m∠4 = 180° - 47° = 133° (The sum of angles on a straight line)
m∠4 = 133°
7. m∠3 = 95° (Vertically opposite angles)
m∠2 = m∠4 (Vertically opposite angles)
m∠3 + 95° + m∠2 + m∠4 = 360° (The sum of angles at a point)
2 × 95° + 2 × m∠2 = 360°
m∠2 = (360° - 2 × 95°)/2 = 85°
m∠2 = 85° = m∠4
m∠2 = 85°
m∠4 = 85°
m∠1 = 360° - (85° + 140° + 90°) = 41°
m∠1 = 41°
m∠5 = 180° - 144° = 36°
m∠5 = 36°
m∠6 = 180° - (m∠5 + m∠3) = 180° - (36 + 95°) = 50°
m∠6 = 50°
m∠7 = 360° - (m∠4 - 38° - (180° - m∠6)) = 360° - (85° - 38° - (180° - 50°)) = 107°
m∠7 = 107° (Sum of angles in a quadrilateral)
8. (10·x - 11)° + (3·x - 2)° + (3·x + 1)° = 180°
Using an online application, we have;
(6·x - 12)° = 180°
x = (180 + 12)°/6 = 32°
x = 32°
9. (3·x - 5)° + (7·x + 5)° + 90° = 180°
Using an online application, we have;
10·x = 180° - 90° = 90°
x = 90°/10 = 9°
x = 9°
10. 151° = (11·x - 1)° + (20·x - 3)°
151° = 31·x - 4°
31·x = 151° + 4° = 155°
x = 155°/31 = 5°
x = 5°
11. (14·x - 13)° = (4·x + 13)° + (6·x + 2)°
(14·x - 13)° = (10·x + 15)°
(14·x - 10·x)° = (13 + 15)° = 28°
4·x = 28°
x = 28°/4 = 7°
x = 7°
1. 45°
2. 51°
3. 37°
4. 88°, 42°, 113°
5. 62°, 45°, 24°
6. 128 degrees, 52°,, 47°, 43° 83°
7. I have no clue
8. 12
9. 9
10. 5
11. 7
8n + 8 =-56 its a two step equating help please
Answer:
n = -8
Step-by-step explanation:
Original Equation:
8n + 8 = -56
Subtract 8 from boths sides.
8n = -64
Divide both sides by 8
n = -8
Hope this helped :)
Please consider Brainliest :)
Step-by-step explanation:
its -8
8n + 8 = 56
8n + 8 - 8 = 56 - 8
8=−64
8n/ 8 -= -64
8n / 8 = -64 / 8
simplified = n = - 8
n equals -8
Sharon has a cake she wants to share with her friends. If she gave 2/5 to Sam and 1/5 to mary. How much does she have left for herself?
Answer:
2/5 of the cake
Step-by-step explanation:
First, find how much she gave away:
2/5 + 1/5
= 3/5
Then, to find how much she has left, subtract 3/5 from 1
1 - 3/5
= 2/5
So, she has 2/5 of the cake left for herself
Adrian eats 8 fries for every chicken finger on his plate. If there are 3 chicken fingers on his plate, how many fries will he eat?
Answer: he will eat 24 fries
Step-by-step explanation: just cuz
I will give brainliest to whoever answers correctly!!1
7. when you multiply A FRACTION AND A MIXED NUMBER WILL THE PRODUCT ALWAYS BE GREATER THAN ONE?
_________________________________________________________
8 when you multiply two mixed numbers will the product always be greater than 1
_______________________________________________________
solve
9. a room is ( 20 1/2 ) feet by ( 15 3/5 ) feet carpeting cover 1/2 of the floor how mANY square feet of the floor is carpeted
Answer:
7. Yes as far as I know it always is
8. It is possible but not always
9. 159.9 ft
Step-by-step explanation:
helpppppppppppppppppppppppp
Answer:
By looking at the sides. BC is the same as HJ and 3 is half of 6. That goes with the rest of the equation
AC = GJ
AB = HG
So then the change in BCA is Double of GHJ
what is the rule for the reflection ?
a. rx-axis(x, y) - (-x, y)
b. ry-axis(x, y) - (-x, y)
c. rx-axis(x, y) - (x,-y)
d. ry-axis(x, y) - (x,-y)
Answer: Choice C
We have an x axis reflection
[tex](x,y) \to (x,-y)[/tex]
The x coordinate stays the same while the y coordinate flips from positive to negative, or vice versa.
For example, point L is located at (-4,2) and it moves to L ' (-4, -2). The other points follow this same pattern.
A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 170lb and each box of books weighs 60 lb. The maximum capacity of the elevator is 1240lb. How many boxes of books can the delivery person bring up at one time?
Answer:
17.83 boxes
Step-by-step explanation:
Lets represent the number of boxes of books that can be brought up per time = x
From the question: The delivery person weighs 170lb and each box of books weighs 60 lb. The maximum capacity of the elevator is 1240lb.
Hence we have the Algebraic Expressions
170lb + 60 × x = 1240lb
170lb + 60x = 1240lb
Collect like terms
60x = 1240lb - 170lb
60x = 1070lb
x = 1070lb/60
x = 17.833333333
x = 17.83 boxes
Therefore, the delivery person can bring up 17.83 boxes per time
For the function f, f(-8) = 7, and f(7) = 12. If y = f(x), what is the value of y when x = 7?
Answer:
12
Step-by-step explanation:
x is almost always the number in the parentheses. y is always the answer. Hope this helps!
What is 2.4(x-10)=8+1.2x-5
Answer:
x = 22.5
Step-by-step explanation:
Step 1: Write equation
2.4(x - 10) = 8 + 1.2x - 5
Step 2: Solve for x
Distribute 2.4: 2.4x - 24 = 8 + 1.2x - 5Combine like terms: 2.4x - 24 = 1.2x + 3Subtract 1.2x on both sides: 1.2x - 24 = 3Add 24 to both sides: 1.2x = 27Divide both sides by 1.2: x = 22.5Step 3: Check
Plug in x to verify it's a solution.
2.4(22.5 - 10) = 8 + 1.2(22.5) - 5
2.4(12.5) = 8 + 27 - 5
30 = 8 + 22
30 = 30
Answer:
x=22.5
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2.4(x−10)=8+1.2x−5
(2.4)(x)+(2.4)(−10)=8+1.2x+−5(Distribute)
2.4x+−24=8+1.2x+−5
2.4x−24=(1.2x)+(8+−5)(Combine Like Terms)
2.4x−24=1.2x+3
2.4x−24=1.2x+3
Step 2: Subtract 1.2x from both sides.
2.4x−24−1.2x=1.2x+3−1.2x
1.2x−24=3
Step 3: Add 24 to both sides.
1.2x−24+24=3+24
1.2x=27
Step 4: Divide both sides by 1.2.
1.2x
1.2
=
27
1.2
x=22.5
Answer:
x=22.5
Ian bought a package of gummy bears that contains 4 cups. if he eats 2/3 cup everyday, how many days of candy does he have?
Answer:
6 days
Step-by-step explanation
2/3 cups x 3 days = 2 cups
2 cups x 2 cups = 4 cups
4 cups = 6 days
Answer:
6
Step-by-step explanation:
1) Get 4 and divide it by 2/3
2) To do this you put the inverse which is 4/1 x 3/2
3) Cross divide, then multiply.
4) (4/1 x 3/2) so 4/2 = 2 which is 2 (and whatever you do to one side, you have to do to the other side) so 2/2 is 1. Then 3/1 = 3 and 1/1 = 1 so it stays same. So now the equation becomes 2/1 x 3/1
5) This means the ones cancel out since in math ones don't have to be seen even though they are there.
6) 2 x 3 = 6
So you get 6
Which scale factors produce an expansion under a dilation of the original image?
Select each correct answer.
−8
−0.7
0.8
7
Answer:
The correct answer is -8 and 7
Hope you have a wonderfull day :)
Help with G and H plz
Answer: For G the answer is x=30, for H x is 30
Step-by-step explanation:
G. The square means 90 degrees and the equation would be 90+3x=180. Subtract 90 from both sides would give you 3x=90 and divide it by 3 would give you x=30
H. The two lines means that both sides are congruent and so 75x2=150 150+x=180 subtract 150 from both sides would give you x=30
the sum of two fractions is 9 1^4 their difference is 3 1^8, what are the two fractions?
Answer:
[tex]6\frac{3}{16}~,~3\frac{1}{16}[/tex]
Step-by-step explanation:
let the fractions be x and y,then
[tex]x+y=9\frac{1}{4}=\frac{37}{4}=\frac{74}{8}\\x-y=3\frac{1}{8}=\frac{25}{8}\\adding\\2x=\frac{74}{8}+\frac{25}{8}=\frac{99}{8}\\x=\frac{99}{16}=6\frac{3}{16}\\again ~subtracting\\2y=\frac{74}{8}-\frac{25}{8}=\frac{49}{8}\\y=\frac{49}{16}=3\frac{1}{16}\\[/tex]
What is the measure of ZB?
Answer: 60
Step-by-step explanation:
All of the sides are equal meaning it is and equal lateral triangle
Merry is making an abstract triangular collage for the wall. She has 14 feet of edging to go around the collage. If the longest side is twice the smallest and the other side is four less than three times the smallest, find the length of each side of the triangular collage
Answer:
The length of each side of the triangular collage:
a = smallest side = 3 feet
b = other side(second side) = 5 feet
c = Longest side = 6 feet
Step-by-step explanation:
She has 14 feet of edging to go around the collage.
14 feet = Perimeter of the triangle
The Perimeter of a Triangle = a + b + c where
a = smallest side
b = other side(second side)
c = Longest side
From the question, we are told that:
If the longest side is twice the smallest
c = 2a
The other side is four less than three times the smallest,
The other side = b
b = 3 × a - 4
b = 3a - 4
Hence,
P = a + b + c
14 = a + 3a - 4 + 2a
14 = a + 3a + 2a -4
14 = 6a - 4
Collect like terms
14 + 4 = 6a
18 = 6a
a = 18/6
a = 3ft
Therefore the smallest side = 3
The Longest side(c) = 2a
c = 2 × 3
c = 6ft
The other side(b) = 3a - 4
= 3(3) - 4
= 9 - 4
= 5 feet.
Therefore, the length of each side of the triangular collage:
a = smallest side = 3 feet
b = other side(second side) = 5 feet
c = Longest side = 6 feet
Which is an equation of the line that is parallel to y = 2x - 2 and passes
through the point (7, 8)?
A) 2x + y = 6
B) 2x + y = 22
C) 2x - y = 2
D) 2x - y = 6
Answer:
Option D ( 2x-y = 6 )
Step-by-step explanation:
They have the same gradient and when x,y values are substituted in this equation, they are equal.
What is the value of 7/3 divided by 5/6
Answer:
14/5 or 2.8
Step-by-step explanation:
Answer:
2.8 or 2 4/5
Step-by-step explanation:
Please help ASAP I’m stuck!!!
Answer:
q <= 1 or q >= 20
Step-by-step explanation:
3q + 2 / 4 <= 5
multiply by 4 to both sides
3q + 2 <= 5
substract 2 to both sides
3q <= 3
divide by 3 to both sides
q <= 1
q - 7 >= 13
add 7 to both sides
q >= 20
The price of a DVD is 24.00 plus 8%tax. What is the total Price on this DVD in dollars and cents?
Answer: $25.92
Step-by-step explanation: Using proportions, I found what 8% of 24 is. 8/100 = x/24, as shown in the photo. 8 x 24 = 192. Divide by 100 for 1.92 and that is the tax. Add 1.92 to the original of 24 to get $25.92
Which of the following functions is graphed below?
Answer:
C
Step-by-step explanation:
i’m confused on #3-5. Please help :)
What is the value of gC4 ? 6561 3024 36 126
Answer:
d) 126
Step-by-step explanation:
I just answered this question and got it right
Answer:
126
Step-by-step explanation:
Got it right on the test.
Find the missing number so that the equation has infinitely many solutions.
4x+ =3(3x–10)–5x+14
Is the relationship proportional? Explain.
Answer:
What relationship??
Step-by-step explanation:
Jeremy is $124.60 in debt to his grandparents. He determines that he can pay them back in five months. What effect will his repayment have on his monthly bank account? Will give brainliest!
Answer:
https://brainly.com/question/11536615
Step-by-step explanation:
Express 8.3% as a ratio. OR Find 7% of 500.
Answer:
8.3 / 1
Step-by-step explanation:
Its simple... search it up
Answer:
7% of 500=7/100*500=35
Using the known angle, what side is known? What side is unknown? Use opposite, adjacent, or hypotenuse in your answer.
Answer: know side: 3
Unknown side: 5
Step-by-step explanation:
A mouse traveled a total distance of StartFraction 3 Over 24 EndFraction of a mile in a maze over the past 3 hours. The mouse traveled the same distance each hour. To determine the distance that the mouse traveled each hour, Matt performed the calculations below. StartFraction 3 Over 24 EndFraction divided by 3 = StartFraction 3 Over (24 divided by 3) EndFraction = StartFraction 3 Over 8 EndFraction He concluded that the mouse traveled StartFraction 3 Over 8 EndFraction of a mile each hour. What is Matt's error?
Answer: the correct answer is C.
I took the quiz and got it right.
Answer:
im not sure but i think is c
Step-by-step explanation: