Answer:
The turning effect of a force is known as the moment. It is the product of the force multiplied by the perpendicular distance from the line of action of the force to the pivot or point where the object will turn.
A train travels a distance of 120 km at a constant speed of V kmh 1. If the speed
is reduced by 10kmh), then the time taken to the journey is increased by one
hour. Find the constant speed V of train.
Help me please
Answer:
V = 40 km/h
Step-by-step explanation:
Total distance = 120 km
Constant speed of train = V km/h
⇒ [tex]Time \: taken \: by \: train = \frac{Distance}{Speed} = \frac{120}{V} \: hr[/tex]
Its given that if speed is reduced by 10 km/h , the time taken by train increases by 1 hour. BUT THE DISTANCE REMAINS SAME. So,
[tex]Speed \times Time = Distance[/tex]
[tex]=> (V - 10)(\frac{120}{V} + 1) = 120[/tex]
[tex]=> 120 + V - \frac{1200}{V} - 10 = 120[/tex]
[tex]=> V - \frac{1200}{V} - 10 = 0[/tex]
[tex]=> \frac{V^2 - 1200 - 10V}{V} = 0[/tex]
[tex]=> V^2 - 10V - 1200 = 0[/tex]
Factorise the quadratic equation.
[tex]=> V^2 - 40V + 30V - 1200[/tex]
[tex]=> V(V - 40) + 30(V - 40)[/tex]
[tex]=> (V - 40)(V + 30)[/tex]
[tex]=> V = 40 \: (or) \: -30[/tex]
Speed can't be negative. So , V = 40 km/h
Question 21 of 25
Which of the following is the coefficient in the algebraic expression 12x+ 24?
O A. 4
O B. x
C. 12
D. Z
SUBMIT
Answer:
12
Step-by-step explanation:
Coefficient is the number before the variable
HELPPPPPPPPPPP MEEEEEE
Answer:
Answer is D
Step-by-step explanation:
What is 3^5 as a product of the same factor?
Answer:
9
Step-by-step explanation:
1.
Tom has a badge collection. He buys more so that his collection increases by 35%.
He originally had 20 badges. How many badges does he
have now?
7%
What is the solution to the equation. |x- 4| = 17?
A. x= -13 or x= 21
B. x= 21
c. x= -21 or x= 13
D. No solutions exist.
Part B Liam buys a pair of jeans that cost $29.99 and 5 shirts that each cost the same amount of money. He spends a total of $94.94. • Write an equation or inequality to represent the cost of each shirt that Liam buys. Define all variables used. • What is the cost of each shirt that Liam buys? Show your work.
Given :
Liam buys a pair of jeans that cost $29.99 and 5 shirts that each cost the same amount of money.
He spends a total of $94.94.
Solution :
Let, cost of each shirt is $ x.
It is given that there are 5 shirt and each cost the same.
Also, the sum of 5 shirt and a pair of jeans is equal to $94.94 .
So,
[tex]29.99 + 5x = 94.94\\\\5x = 94.94 - 29.99\\\\x = \$ 12.99[/tex]
Therefore, the cost of each shirt that Liam buys is $12.99 .
A line is the locus of points that:
What is the length of a leg of a right triangle if the hypotenuse is 9 inches and the other leg is 8 inches.
Answer:
√17 or 4.12 inches
Step-by-step explanation:
√9²-8²=√81-64=√17 inches
or 4.12 inches
Trigonometry is the study of____________
Answer:
relationships between side lengths and angles of triangles
Step-by-step explanation:
Answer:
Study of the angles and triangles
Step-by-step explanation:
Which of the following is the graph of the inequality y < 3x+ 1?
А
B
C
D
5
To (1.4)
(1.4)
(1.4)
5
(1.4)
(0.1)
(0.1)
€ (0, 1)
(0, 1)
-6
5
A. Graph A
B. Graph B
C. Graph C
D. Graph D
According to the graph, what is the value of the constant in the equation below?
Height= Constant/Width
(4,5) (5,4) (10,2) (20,1)
A. 1
B. 10
C. 5
D. 20
Answer:
20
Step-by-step explanation:
AP EX Confirmed
NEED HELP PLEASE I NEED THE ANSWER
Answer:
Step-by-step explanation:
The 2 lines are y=2x+12 (slope of 2 y-intercept at 12) and y=26 (line at y=26).
intersection= (7,26)
PLZZZZZZZZZZZZZ HELPPPPPPPPP
Answer:
Given, Distributive property, Subtraction Property, Division Property, Prove
Step-by-step explanation:
This is what I think the answer is. So if the answer is wrong than I don't know
What does it mean to square a number? Provide an example to support your answer.
Answer:
When squaring a number it is essentially taking a number and multiplying it by itself. For example, 5^2 is 5×5 (=25).
Math is hard -10/-10
Answer:
1 yup the answer is 1
can anyone help me ?
Answer:
d
Step-by-step explanation:
The sum of the angles of a triangle is ALWAYS 180 degrees.
Which is a true statement based on the dot plots below?
10 20 30 40 50 60
10 20 30 40 50 60
Set A
Find the equation of the circle whose center and radius are given.
center ( 7, -3), radius = 7
Answer:
(x-7)^2 + (y+3)^2 = 49
Step-by-step explanation:
The general equation for a circle is given by
(x-h)^2 + (y-k)^2 = r^2
where ( h,k) is the center and r is the radius
(x-7)^2 + (y- -3)^2 = 7^2
(x-7)^2 + (y+3)^2 = 7^2
(x-7)^2 + (y+3)^2 = 49
Answer;
(x-7)^2 + (y+3)^2 = 49
Step-by-step explanation:
The general equation for a circle is given by
(x-h)^2 + (y-k)^2 = r^2
where ( h,k) is the center and r is the radius
(x-7)^2 + (y- -3)^2 = 7^2
(x-7)^2 + (y+3)^2 = 7^2
(x-7)^2 + (y+3)^2 = 49
Emily is buying new cold-weather gear for her family. She pays $100 for 5 pairs of waterproof gloves that each cost the same amount. Four of the pairs of gloves are mittens. Which expression represents the total cost of the 4 pairs of mittens?
5÷100=x
x=20
100-20=80
80= the total cost of the 4 pairs of mittens
no links please!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
[tex]2 < -\frac{x}{3}[/tex]
To "undo" the division, multiply both sides of the inequality by 3.
[tex]6<-x[/tex]
To find x, multiply both sides by -1, remembering that when you multiply (or divide) an inequality by a negative number, you have to switch the direction of the inequality sign (to avoid not telling the truth!!!).
[tex]-6>x[/tex]
Finally, it's a good idea to write the solution so the subject of the math sentence is x, not -6.
[tex]x<-6[/tex]
This isn't some kind of magic. If -6 is bigger than x, then x is smaller than -6.
List the next three numbers for the sequence:
34, 102, 408, 2040, ...
Answer:
12240
85680
685440
Step-by-step explanation:
We know that the sequence is growing rapidly
To see how rapidly divide the second term by the first term
102/34 =3
Check the third term divided by the second term
408/102 =4
Check the fourth term divided by the third term
2040/408=5
To get the second term, multiply by 3, to get the third term multiply by 4
to get the fourth term multiply by 5
to get the nth term multiply by (n+1)
The 5th term would be multiplied by 6
2040 *6 =12240
The 6th term by 7
12240*7=85680
The 7th term by 8
85680*8=685440
2 7. Which numbers in the set {2,3,4,5} are solution(s) to the inequality 16 - 3x > 5?
A. 2 only
B. 3 only
C. 2 and 3
D.3,4, and 5
select all the expressions that are equal to
8(x-24)
Answer:
Your answer will be the 1st, 3rd and 4th/[tex]8(x-3), 9(x-3)-(x-3), and (5+3)x-24[/tex]
Step-by-step explanation:
No explanation since I've had this in the past, but I am 100% sure that it is A, C, and D. Therefore, your answer will be [tex]8(x-3), 9(x-3)-(x-3), and (5+3)x-24[/tex].
What is the length of side c rounded to the nearest tenth of an inch?
17 in.
19 in.
С
The length of side c rounded to the nearest tenth of an inch is in.
Answer:
Step-by-step explanation:
This is a right triangle, and side c, our unknown, is the hypotenuse, the longest side in a right triangle. Using Pythagorean's Theorem, we have
[tex]17^2+19^2=c^2[/tex] which simplifies to
[tex]289+361=c^2[/tex] and
[tex]650=c^2[/tex] and
c = 25.5"
Choose the product of (3x2 + 7)(6x2 – 4x + 5).
A. 63x2 – 28x + 35
B. 9x4 – 7x3 + 51x2 – 11x + 12
C. 18x4 – 12x3 + 42x2 – 28x + 35
D. 18x4 – 12x3 + 57x2 – 28x + 35
PLS HELP! WILL MARK BRAINLIEST!
Mr. Smith makes a pasta sauce
He mixes tomato concentrate: olive oil at a ratio of 3: 1
How many liters of tomato concentrate does he need to mix if he adds 3 liters of olive oil?
Answer:
9 litres of tomato concentrate
Question 2 (1 point)
If y varies directly as x and y = 3 when x = 12, what is the value of y when x = 18?
Answer:
18/4
Step-by-step explanation:
If y varies directly as x then the equation is y = kx
If y =3 when x = 12 then the equation is 3 = 12k => k = 3/12=> k = 1/4
The value of y when x = 18 is,
y = k *&x
= (1/4) * 18
= 18/4
then the equation is y = 18/4
WILL MARK BRAINLIEST PLEASE HELP ASAP !!!
Find the measure of the missing angles.
Answer:
b=70 degree (by vertically opposite angle)
and c can be calculated as
b+c=180°
c=180°-b
c= 180°-70°
c= 110°
hence b=70° and c=110°
Solve for the missing side to the tenths place ( ignore the letters labeled on the triangle, they are labeling the angles not the sides)
c=
Answer:
120 broAB ayi dónde es 120 desde A asta B