Answer:
17 is the corect answer
hope this helped
Step-by-step explanation:
6. 188 students went on a field trip. Five buses were filled and 18
students traveled in cars. How many students were in each bus?
Answer:
34
Step-by-step explanation:
188 - 18 = 170 divided by 5 equals 34
Answer:
34 students per bus
Step-by-step explanation:
188 - 18 = 170, The number 170 is the total amount of students who were on buses
170 ÷ 5 = 34 This is the total number of students divide by the number of buses which gave the number of how many students were in each bus
A piece of wood is 0.9 metres long.
It is cut into three unequal pieces.
The first piece is 0.2 metres longer than the second piece.
The third piece is 23 hundredths of a metre shorter than the second piece.
How long is each piece of wood?
Answer:
The length of the first piece is 0.51 m
The length of the second piece is 0.31 m
The length of the third piece is 0.28 m
Step-by-step explanation:
The question is a simultaneous equation with word problem
The total length of the wood = 0.9 m
The number of pieces the wood is cut into = 3
The length of the first piece = 0.2 m + The length of the second piece
The length of the third piece = The length of the second piece - 0.23 m
Let "y" represent the length of the second piece, let "x" represent the length of the first piece, and let "z" represent the length of the third piece, we have;
x = 0.2 + y...(1)
z = y - 0.23...(2)
x + y + z = 0.9...(3)
Therefore, by substitution, we have;
0.2 + y + y + y - 0.23 = 0.9
3·y - 0.03 = 0.9
3·y = 0.9 + 0.03 = 0.93
y = 0.93/3 = 0.31
y = 0.31
The length of the second piece = y = 0.31 m
From equation (1), we have;
x = 0.2 + y = 0.2 + 0.31 = 0.51
x = 0.51
The length of the first piece = x = 0.51 m
From equation (2), we have;
z = y - 0.23
z = 0.51 - 0.23 = 0.28
z = 0.28
The length of the third piece = z = 0.28 m.
Which points are on the graph of g(x) = (1/5)x?
Select each correct answer.
(3, 125) (-2,5) (1, 0) (-1, 5)?
Given:
The function is
[tex]g(x)=(\dfrac{1}{5})^x[/tex]
To find:
The correct ordered pairs.
Solution:
We have,
[tex]g(x)=(\dfrac{1}{5})^x[/tex]
For x=3,
[tex]g(3)=(\dfrac{1}{5})^3[/tex]
[tex]g(3)=\dfrac{1}{125}[/tex]
So, the ordered pair is [tex](3,\dfrac{1}{125})[/tex].
For x=-2,
[tex]g(-2)=(\dfrac{1}{5})^{-2}[/tex]
[tex]g(-2)=(5)^2[/tex] [tex][\because (\dfrac{a}{b})^{-n}=(\dfrac{b}{a})^n][/tex]
[tex]g(-2)=25[/tex]
So, the ordered pair is [tex](-2,25)[/tex].
For x=1,
[tex]g(1)=(\dfrac{1}{5})^1[/tex]
[tex]g(1)=\dfrac{1}{5}[/tex]
So, the ordered pair is [tex](1,\dfrac{1}{5})[/tex].
For x=-1,
[tex]g(-1)=(\dfrac{1}{5})^{-1}[/tex]
[tex]g(-1)=(5)^1[/tex] [tex][\because (\dfrac{a}{b})^{-n}=(\dfrac{b}{a})^n][/tex]
[tex]g(-1)=5[/tex]
So, the ordered pair is (-1,5). This is the correct answer.
Therefore, the correct option is D.
which statement best describes this graph?
Answer:
the second one
Step-by-step explanation:
Work out the answers
a)200
b)120
c)410
d)37.3
Which of the following equations has a solution that is negative?
a. – 0.4x + 4 = – 1.6
b. – 0.4(x + 1.6) = 1.6
c. – 0.4(– x + 1.6) = 1.6
d. – 0.4x – 4 + 1.6x = – 1.6
Answer:
b. – 0.4(x + 1.6) = 1.6
Step-by-step explanation:
The equation with negative solution is -
- 0.4(x + 1.6) = 1.6
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given are the equations as shown in the question.
The equation with the negative solution are -
- 0.4(x + 1.6) = 1.6
- 0.4x - 0.64 = 1.6
- 0.4x = 1.6 + 0.64
- 0.4x = 2.24
x = - (2.24/0.4)
Therefore, the equation with negative solution is -
- 0.4(x + 1.6) = 1.6.
To solve more questions on algebraic expressions, visit the link below-
brainly.com/question/1041084
#SPJ6
Plot two points that are 8 units from Point B and also share the same x-coordinate as Point B. y
Answer:
y
Step-by-step explanation:
Answer: I don't know I'm sorry
The basic ratio of blue to red for paint is 4:7. How many quarts of blue paint should be mixed with 21 quarts of red paint to get purple?
help please ! so i can finish this assignment
Answer:
-0.1, -0.02, [tex]\frac{5}{6}[/tex], [tex]|\frac{9}{8}|[/tex], 10
Step-by-step explanation:
The Thomas' backyard pool is
rectangular in shape and is
similar to the rectangle formed
by their fenced backyard. The
backyard measures 12 feet long
and 9 feet wide. If the width of
the pool is 6 feet wide, what is
the length of the pool?
Answer: 8 feet
Step-by-step explanation:
Can someone help me solve all of these problems for brainliest and a heart? please and thank you!
Answer:
Top Right Problem: PACKAGE #2 and $0.80
Bottom left: BAND and $0.05
Bottom Right: PEPSI and $0.05
How many years will it take for $20,000 to earn $7,000 in interest if placed in an account that earns 2.09% simple interest?
Answer:
16.7 years
Step-by-step explanation:
Mary bought 50 apples at the apple orchard. She bought 4 times as many red apples as green apples. How many more red apples than green apples did Mary buy?
Work out the percentage change when a price of £40 is decreased to £18.
In ΔCDE, \text{m}\angle C = (4x-16)^{\circ}m∠C=(4x−16) ∘ , \text{m}\angle D = (6x-1)^{\circ}m∠D=(6x−1) ∘ , and \text{m}\angle E = (4x-13)^{\circ}m∠E=(4x−13) ∘ . Find \text{m}\angle C.M∠C.
Answer:
m∠C = 44°
Step-by-step explanation:
In ΔCDE,
m∠C=(4x−16) ∘
m∠D=(6x−1) ∘
m∠E=(4x−13) ∘ .
The sum of angles in a triangle = 180°
Step 1
We solve for x
m∠C + m∠D + m∠E
(4x−16)° + (6x−1)° + (4x−13)° = 180°
4x - 16 + 6x - 1 + 4x - 13 = 180°
4x + 6x + 4x -16 - 1 - 13 = 180°
14x - 30 = 180°
14x = 180+ 30
14x = 210
x = 210/14
x = 15
Step 2
Find m∠C
m∠C = (4x−16)°
m∠C = (4 × 15 - 16)°
m∠C = (60 - 16)°
m∠C = 44°
Which expression is equivalent to x2 - 40 - 45?
A(x - 9) (x - 5)
B(x +9)(x + 5)
C(x + 9) (x - 5)
D(x-9)(x+5)
Answer:
the answer is B (x+9)(x+5)
What is an equivalent expression for (x + 7)(x + 1).
Answer:
x2−8x 7
Step-by-step explanation:
Find the value of x.
Answer:
x = 12
Step-by-step explanation:
Question 1
Simplify
5y - 2y + y + y
Answer:
5y
Step-by-step explanation:
Please help!!! I need help asap!!!
Answer:
-5
Step-by-step explanation:
A negative times a negative always equals a positive. 5 x 9 = 45
The graph of the system of equations
x + 2y = 8
3x + 6y = 13
will give:
A. parallel lines
B.
lines that coincide
C.
perpendicular lines
D.
none of these
Answer:
A. parallel lines
You can also use the app desmos to help you graph equations.
Solve:
p−316=−212
What Is P?
Answer:
P=104
Step-by-step explanation:
-212+316=104
therefore p=104
Cathleen ran a total of 16 miles. She ran exactly 2 2/3 miles each day. How many days did it take her to run 16 miles
Answer:
6 days
Step-by-step explanation:
answers for both boxes please
help fast please :) :) :) :) :)
Given: f(x)=x-7and h(x) = 2x+3
Write the rule for f(h(x))
f(h(x))= 2x-7
f (h(x))= 2x-4
f(h(x))= 3x-4
f(h(x))= 3x -7
 I WILL GIVE BRAINLIEST AND POINTS HELP PLEASE
Answer:
a) [tex]( -[/tex]∞[tex], -\frac{4}{3}[/tex][tex])[/tex] ∪ [tex](-\frac{4}{3}[/tex] , ∞[tex])[/tex]
b) [tex][-\frac{5}{2} ,[/tex] ∞)
Step-by-step explanation:
The domain of a function is known as the input. We need to find whatever set of numbers can be plugged into every x of a function so that the result is a real number.
a) This problem is a fraction alone, so we need to find out what input of x will make the denominator zero - that will be the number we "skip" when writing out the domain. This is because if the denominator were zero, then it would be 1 divided by 0, which would be undefined and therefore not a real number.
To find this number, we can just take the denominator and solve for x:
[tex]3x + 4 = 0[/tex]
[tex]3x = -4\\x = -\frac{4}{3}[/tex]
Therefore [tex](-[/tex]∞, [tex]-\frac{4}{3}[/tex]) ∪ [tex](-\frac{4}{3},[/tex] ∞[tex])[/tex] is our answer.
b) This problem is just a square root alone, so we need to find out what input of x will make the number inside the square root negative - that number, and the numbers less than it, will be the numbers that we "skip." This is because if the number inside the square root was negative, then it would produce an imaginary answer and not a real one.
A simple trick to find the domain would be to set the terms inside the square root greater than or equal to 0 then solve for x:
[tex]2x + 5\geq 0 \\2x \geq -5\\\\x \geq \frac{-5}{2}[/tex]
Thus, the domain would be any number greater than or equal to [tex]-\frac{5}{2}[/tex], which in interval notation would be written [tex][-\frac{5}{2} ,[/tex] ∞).
What number is 5/8 more than 3/16 ? Show how you calculated your answer.
Answer:
10/16
Step-by-step explanation:
Find the common factor between both
5/8 = 10/16
10/16 > 3/16
Is this "N2 + 3H2 → 2NH3" balanced or no?
how do i answer this please?
Answer:
a) [tex]5\sqrt{3} + 3\sqrt{5}[/tex]
b) [tex]4(\sqrt{2} + \sqrt{7})[/tex]
Step-by-step explanation:
a) [tex]9\sqrt{3} - 4\sqrt{3} +\sqrt{5} + 2\sqrt{5}[/tex]
Taking √3 & √5 common respectively,
[tex]=> \sqrt{3} (9 - 4) + \sqrt{5} (1 + 2)[/tex]
[tex]=> 5\sqrt{3} + 3\sqrt{5}[/tex]
b) [tex]10\sqrt{2} + 4\sqrt{7} - 6\sqrt{2}[/tex]
Taking √2 common ,
[tex]=> \sqrt{2} (10-6) + 4\sqrt{7}[/tex]
[tex]=> 4\sqrt{2} + 4\sqrt{7}[/tex]
Taking 4 common ,
[tex]=> 4(\sqrt{2} + \sqrt{7})[/tex]
