Answer:
Inequality equation:
0.03125x + 0.015625y ≤ 50 pounds
Step-by-step explanation:
We convert the ounces to pounds
1 ounce = 0.0625 pound
For the gold coin = 0.5 ounce
1 ounce = 0.0625 pounds
0.5 ounce = x
x = 0.5 × 0.00625 pounds
x = 0.03125 pounds
For the Silver coin = 0.25 ounce
1 ounce = 0.0625 pounds
0.25 ounce = x
x = 0.25 × 0.00625 pounds
x = 0.015625 pounds
The basket holds no more than 50 pounds of material.
Let the number of gold coins = x
The number of silver coins = y
Hence: our inequality equation:
0.03125x + 0.015625y ≤ 50 pounds
The increase in pressure (P) is a linear function of the depth (d) to which a scuba diver descends. This is the function: P(d)=0.445d + 14.7.
1.) What does the initial value represent?
2.) What does the rate of change represent?
Answer:
Initial value = 14.7
Rate of change = 0.445
Step-by-step explanation:
Given the linear function :
P(d) = 0.445d + 14.7
The linear equation above takes the general. Form of a slope - intercept equation :
y = mx + c
Where ; m = slope or gradient = rate of change in y per unit change in x
c = intercept , which is the intial value of y when x = 0
Thus using the above information ;
Initial value = intercept value = 14.7
The rate of change is the slope value = 0.445
I need help with Geometry
A dump truck bar 1/3 of a ton of rocks on the 1st beat trip when half of a ton on the 2nd trip and forfeits of a tone on the 3rd trip what was the total way of the rock.
Answer: 1/30
Step-by-step explanation:
Here's the correct question:
A dump truck brought 1⁄3 of a ton of rock on the first trip, 1⁄2 of a ton on the second trip, but on the third trip, had to take back 4⁄5 of a ton. What was the total weight of the rock left at the construction site?
To calculate the the total weight of the rock left at the construction site goes thus:
= 1/3 + 1/2 - 4/5
The lowest common multiple of 3,2 and 5 is 30. Therefore, we'll make the fractions have a common denominator.
= 1/3 + 1/2 - 4/5
= 10/30 + 15/30 - 24/30.
= 1/30
. How many solutions does this system of equations have?
y = 4x - 2.
y = 4x +5 *
Answer:
No solutions
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
solve this inequality for x. 81 - 1 1/5x 55
A.x>21/2/3
B.x 5 1/5
D.< -21 2/3
Answer:
A
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
I got it right on plato
Which of the following statements is
CORRECTLY matched?
A. 20 km <200m
19. four years <36 months
C. obtuse angle > reflex anglo
D. 812 821
Answer:
d 812 821 here is the answer
The local newspaper has letters to the editor from 10 people. If this number represents 5% of all the newspaper's readers, how many readers does the newspaper have?
The newspaper has ___ readers.
Answer:
200 readers
Step-by-step explanation:
question is: 5% of what number is 10
is = percent
of 100
is = 10
of = unknown (call is 'n')
5% = 5/100
10 = 5
x 100
now, cross-multiply: 5x = 1000
divide each side by 5
x = 200
HELP I WILL MARK U BRAINLIEST!!
Answer:
Y-7 is the answerr
Step-by-step explanation:
Because there's is a minus sign behind of the y
How many solutions does the system have?
y=3x-1
y=-2x+4
Answer:
This system has one answer.
Step-by-step explanation:
This system only has one answer which are: x=1 y=2
Hope this helped! :)
Answer:
(y,x) =(14,5)
Step-by-step explanation:
im in 10th grade
Carla is going on a boat tour. The boat will travel a total distance of 40 kilometers during the 10 hour tour. If the boat travels at a constant speed during the tour, what distance in kilometers should the boat travel in 7 hours? Choose the correct answer below.
Answer:
Distance cover in 7 hour = 28 kilometer
Step-by-step explanation:
Given:
Distance = 40 kilometers
Time taken = 10 hour
Find:
Distance cover in 7 hour
Computation:
Distance cover in 7 hour = (40/10)7
Distance cover in 7 hour = (4)7
Distance cover in 7 hour = 28 kilometer
hiiiiiii help me thanks!
Given that f(x) = x2 + 4x – 45 and g(x) = x + 9, find f(x) = g(x) and
express the result in standard form.
Identify the function shown in this graph.
O A. y=-3x+1
B. y = 3x + 1
C. y = 12+1
D. y = 3x - 1
Answer:
y = 3x + 1
Step-by-step explanation:
As you can see the y-intercept is at the number 1
and for the slope, if u do rise over run or y/x you get....
3/1 = 3
So the slope is 3
Hope this helped!
A square garden has an area of 0625
hectares Okoth went round it twice
how many metres did he cover
Answer:
to answer this question i need to know what and what x together to get the area
Step-by-step explanation
Pls help and show workings
Help round all THE WAY decimal or fraction form!!
Answer:
The answer to the question provided is
[tex] \frac{1}{2} [/tex]
Please solve it I will give you 30 points
Answer:
1. (2x^2+x-1)
Step-by-step explanation:
expanding (2x^2-1)^2. multiplying (x-2) (1-2x)
= 4x^2-4x+1. = x-2x^2-2+4x
= -2x^2+5x-2
(4x^2-4x+1-2x^2+5x-2)
=2x^2+x-1
Answer:
1.) (2x - 1)(x + 1)
2.) a = 6 ; b = -1
4.a.) x = all rational numbers excluding (-2÷3)
4.b.) x = -1
4.c.) Yes. x = 1÷2
Step-by-step explanation:
E(x) = (2x - 1)² + (x - 2)(1 - 2x) F(x) = ax²-bx-2
F(1) = 5 ; F(-2) = 20
a-b=7 ; 4a+2b=22
3.Answer) Q(x) = 6x² + x - 2
= 6x² + 4x - 3x - 2
= (3x + 2)×(2x - 1)
Hence verified!
P(x) = E(x) ÷ Q(x)
= (x + 1)÷(3x + 2)
Here, x belongs to,
[tex]( - \infty \: to \: - 2 \div 3) union( - 2 \div 3 \: to \: \infty )[/tex]
Means, except x = -2÷3 , all real numbers are valid excluding complex numbers.
P(x) = (x + 1)÷(3x +2) = 0
= > x = -1
29.8 ft
what’s the area
Answer:
The area is 888.04 square ft
Prove that:
1+cot²a / 1 + cosec a = cosec a
Step-by-step explanation:
LHS= 1 + cot^2A/1+cosecA
=(1+cosecA + cot^2A)/1+cosecA
{By using basic trigonometric theorem cot^2A = cosec^2A - 1}
=(1+cosecA + cosec^2A - 1)/(1+cosecA)
=(cosecA + cosec^2A)/(1+cosecA)
=[cosecA (1+cosecA)]/(1+cosecA)
{Cancelling 1+cosecA}
=cosecA
Give the coordinates of the image of the figure below after the transformation.
Reflect triangle ABC with vertices A(-3, 2), B(-1.7), and C(6. 1): x-axis
B
A
c
Answer:
B ( -1,-7)
A (-3,-2)
C (6, -1)
Step-by-step explanation:
Explanation:-
Given vertices are A( -3,2) , B(-1,7) and C(6,1)
Reflection about the x-axis then the coordinate points are transformed to
(x,y)→ (x,-y)
A(-3,2)→ A¹(-3,-2)
B(-1,7)→ B¹(-1,-7)
C(6,1)→ C¹(6,-1)
Find the value of a and b when x = 10
a= 5x²/2
b= 2x²(x-5)/10x
Find the slope of the line graphed below.
Answer:
Slope: -3/5
Step-by-step explanation:
Graph g is a translation of the graph of y= sin x (dashed line).a) write down the equation of g b) write down the coordinates of the point p
Answer:
a) [tex]G(x)= \sin x + 2[/tex]
b) The coordinates of P are
[tex]\displaystyle \left( \frac{3\pi}{2},1\right)[/tex]
Step-by-step explanation:
Translation
The dashed line shows the graph of the function
[tex]y = \sin x[/tex]
This function has a maximum value of 1, a minimum value of -1, and a center value of 0.
a)
Graph G shows the same function but translated by 2 units up, thus the equation of G is:
[tex]\boxed{G(x)= \sin x + 2}[/tex]
b) The coordinates of P correspond to the value of
[tex]x = \frac{3\pi}{2}[/tex]
The value of G is
[tex]\displaystyle G(\frac{3\pi}{2})= \sin \frac{3\pi}{2} + 2[/tex]
Since
[tex]\sin \frac{3\pi}{2}=-1[/tex]
[tex]\displaystyle G(\frac{3\pi}{2})= -1+ 2=1[/tex]
The coordinates of P are
[tex]\displaystyle \left( \frac{3\pi}{2},1\right)[/tex]
Simplify each of the expressions below. Which of the expressions have a value between 0 and 10? Select all that apply.
Answer:
A and B
Step-by-step explanation:
A euqlas 4, B equals 5, c is -3 and d is -11
hey can someone please help me asap
3rd one
Step-by-step explanation:
One number is 1 more than 7 times the other number. If their sum is 73 more than
twice the smaller number. Find the numbers.
[tex]\boxed{\boxed{\pink{\bf The \ two \ numbers \ are \ 12 \& \ 85 . }}}[/tex]
Step-by-step explanation:Given that , One number is 1 more than 7 times the other number. If their sum is 73 more than
twice the smaller number. And we need to find the numbers. So let us take the
First Number be x .Second number be 7x+1 .[tex]\underline{\red{\boldsymbol{ According \ to \ the \ Question :- }}}[/tex]
[tex]\bf\implies 2( Small \ no.) + 73 = Bigger \ no. + Smaller \ no.\\\\\bf\implies 2x + 73 = x + 7x + 1\\\\\bf\implies 2x + 73 = 8x + 1 \\\\\bf\implies 8x - 2x = 73-1 \\\\\bf\implies 6x = 72 \\\\\bf\implies x =\dfrac{72}{6} \\\\\bf\implies \boxed{\red{\bf x = 12 }}[/tex]
Hence the smaller number is 12 and the bigger number will be :-
[tex]\bf \implies Number_{bigger} = 7x + 1 \\\\\bf\implies Number_{bigger} =7(12)+1\\\\\bf\implies Number_{bigger} = 84 + 1 \\\\\bf\implies \boxed{\red{\bf Number_{bigger}=85 }}[/tex]
Hence the bigger number is 85 and the smaller number is 12.Step-by-step explanation:
let us say the number: x
7x+1=y
x+y=73+2x
y-73=2x-x
y-73=x or
x=y-73
then, 7x+1=y
x=y-73
then after,we'll substitute
7x+1=y
7(y-73)+1=y
7y-511+1=y
7y-510=y
7y-y=510
6y=510
y=510/6
y=85
x=y-73
x=85-73
x=12
Therefore y=85 & x=12
-2 + 6.45 - 6 + (-3.5z)
Which four colonies were considered to be part of the Middle Colonies? A: New York B: Pennsylvania C: Connecticut D: Virginia E: Delaware F: New Jersey
Answer:
The 4 colonies were: A: New York, B: Pennsylvania, E: Delaware, F: New Jersey.
Step-by-step explanation:
Consider the provided information.
The Middle Colonies, found between the New England Colonies and the Southern Colonies, were a branch of the Thirteen Colonies in British America.
The four colonies that were considered to be part of the Middle Colonies are:
New Jersey, Pennsylvania, New York and Delaware Colony
So, the 4 colonies were: A: New York, B: Pennsylvania, E: Delaware, F: New Jersey.
The terminal side of ø quadrant IV and sin ø = -12/13. What is the cos ø?
A. 5/13
B. 5/12
C. -5/12
D. -5/13
Answer:
Step-by-step explanation:
cos^2θ = 1 - sin^2θ = 1 - 144/169 = 25/169
cos θ is positive in Quadrant IV
cos θ = √(25/169) = 5/13
The value of the cos θ is 5/13 because cos is positive in IV option (A) is correct.
What is Trigonometric functions?Trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle.
We have: The terminal side of θ is in quadrant IV quadrant
sinθ = -12/13
cos²θ = 1 - sin²θ
cos²θ = 1 - (-12/13)²
cos²θ = 1 - 144/169
cos²θ = 25/169
cos θ = √(25/169)
cos θ = 5/13
cos θ is positive in Quadrant IV
Thus, the value of the cos θ is 5/13 because cos is positive in IV option (A) is correct.
Learn more about Trigonometric functions here:
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how do you find the value in a ratio?
Answer:
In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six. Similarly, the ratio of lemons to oranges is 6∶8 and the ratio of oranges to the total amount of fruit is 8∶14.
Step-by-step explanation/example
The car was traveling 60 miles per hour, or 60 miles in 1 hour. You have a 1 in 28,000,000 chance of winning the lottery. Out of every possible scenario, only 1 out of 28,000,000 of them has you winning the lottery.
Answer:
China can have the brainiest.
Step-by-step explanation: