Answer:
x ≥ 1500
Step-by-step explanation:
Victor has quarters, dimes and pennies in his pocket. He has three times fewer pennies than dimes and he has 4 fewer quarters than pennies. How many coins does he have total if they are worth $4.60?
Answer:
Let's define the variables :
Q = number of quarters that Victor has
P = number of pennies that victor has
D = number of dimes that victor has.
We know that:
"He has three times fewer pennies than dimes"
P = D*3
"he has 4 fewer quarters than pennies."
Q = P - 4
And we know that in total, he has $4.60, then:
Q*$0.25 + P*$0.10 + D*0.05 = $4.60
Then we have a system of equations:
P = D/3
Q = P - 4
Q*$0.25 + P*$0.01 + D*0.10 = $4.60
To solve this, we need to replace variables in order to eliminate them.
We can start by replacing the first equation into the other two:
Q = D/3 - 4
Q*$0.25 + (D/3)*$0.01 + D*0.10 = $4.60
Now we can replace the top equation into the bottom one:
(D/3 - 4)*$0.25 + (D/3)*$0.01 + D*0.10 = $4.60
And now solve this for D:
D*($0.25/3 + $0.01/3 + $0.10) -$1 = $4.60
D*$0.1866... = $4.60 + $1.00 = $5.60
D = $5.60/$0.1866... = 30
Then he has 30 dimes.
P = D/3 = 30/3 = 10 pennies
Q = P - 4 = 10 - 4 = 6 quarters.
In total he has 30 + 10 + 6 = 46 coins.
A rectangular garden is divided into four sections. Some dimensions are shown in the diagram, and the distance from
point A to point Cis 16 ft.
12 it
8
15 ft
What is the distance from point A to point B in feet?
A. 8ft B.7ft c.9ft D.6ft
Answer:9 ft
Step-by-step explanation:
The requried measure of the AB is given as 7ft. Option B is correct.
What are Pythagorean triplets?In a right-angled triangle, its sides, such as hypotenuse, and perpendicular, and the base is Pythagorean triplets.
Here,
From the diagram, applying Pythagoras' theorem to the right rectangle,
BC² = 15² - 12²
BC² = 81
BC = 9
Now,
AC = 16
AB + BC = 16
AB + 9 = 16
AB = 7 ft
Thus, the requried measure of the AB is given as 7ft. Option B is correct.
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What's the slope and y-intercept?
Help please!!
Wriye the equation Y=-4/5x-6
Answer:
Solve for x by simplifying both sides of the equation, then isolating the variable.
x = − 5Y/4 − 15/2
Which is true of the graph?
A.
The graph has no y-intercept.
B.
The graph of the line is y = 100x.
C.
Miles walked and Calories burned are in a proportional relationship.
D.
The more Lonnie walks the faster she goes.
Answer:
the answer is D. Miles walked and calories burned are in a proportional relationship
4n + 1= 25 how do I solve this and show my work?
Answer:
n=6
Step-by-step explanation:
4n + 1= 25
Move constant to the right
4n=25-1
Calculate
4n=25-1
Then divide on both sides
Answer:
Today: Friday, 06 November 2020
Hour: 09.44 WIB (Indonesia)
_______________________________
4n + 1 = 25
4n = 25 - 1
4n = 24
n = 24/4
n = 6
-5n - 2 =38.... how dobi solve this problem and show my work
Answer:
[tex] \boxed{ n =- 8}[/tex]
Step-by-step explanation:
[tex]-5n - 2 =38 \\- 5n = 38 + 2 \\ -5n = 40 \\ n = -\frac{40}{5} \\ \boxed{ n =- 8}[/tex]
♨Rage♨
Answer:
Today: Friday, 06 November 2020
Hour: 09.42 WIB (Indonesia)
_______________________________
-5n - 2 = 38
-5n = 38 + 2
-5n = 40
n = 40/-5
n = -8
3/4x+2=5/12 rewite so there’s no fractions
Answer:
3/4 and 2/5 have a common denominator of 20, so re-write
15/20x - 2 = 8/20 Now multiply both sides by 20
15x-40 = 8
Step-by-step explanation:
Which expression represents the perimeter of the rectangle shown below
Answer:
D. 2x² + 10x - 2
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
Length = x² + 3x - 2
Width = 2x + 1
Perimeter = 2(x² + 3x - 2 + 2x + 1)
Perimeter = 2(x² + 5x - 1)
Perimeter = 2(x²) + 2(5x) - 2(1)
Perimeter = 2x² + 10x - 2
Mr. & Mrs. Martin drove 200 miles in September. They drove 2 times as many miles in November as they did in September. They drove 2 times as many miles in October as they did in November. How many miles did Mr. & Mrs. Martin drive in October?
Question:
Mr. & Mrs. Martin drove 200 miles in September. They drove 2 times as many miles in November as they did in September. They drove 2 times as many miles in October as they did in November. How many miles did Mr. & Mrs. Martin drive in October?
Answer:
200 miles x 2 = 400 miles in September 400 x 2 = 800 in october
Help fast! Will give brainliest!!!
Answer:
Jacki did not subtract 12 from 8 correctly i believe
Three consecutive integers are n, n, +1 and n+2. 4 times the sum of the least and greatest integers is 12 less than three times the least integer. What is the least integer?
Answer:
The smallest integer is -4.
Step-by-step explanation:
4(n + n+2) = 3*n - 12 Combine the left
4(2n + 2) = 3n- 12 Remove the brackets
8n + 8 = 3n - 12 Subtract 3n from both sides
8n-3n + 8 = 3n-3n - 12 Combine
5n + 8 = - 12 Subtract 8 from both sides
5n = - 12 - 8
5n = - 20 Divide by 5
5n/5 = -20/5
n = - 4
n + 1 = -3
n + 2 = - 2
7.0 is ten times as much as
Answer:
0.7
Step-by-step explanation:
Answer:
0.7
Step-by-step explanation:
e2020
Please help asap. Thank you!
Answer:
number 2
Step-by-step explanation:
tell me the answer after you finshe
Answer:
2nd option
Step-by-step explanation:
[tex]\frac{2}{3.25}=\frac{x}{6.5}[/tex]
how do you write -5 1/100 as a decimal?
Answer:
The answer is -5.01
Answer: my friend I gotchu
Step-by-step explanation:
-5 would convert into -5.
1/100 = 0.01
so together it would be
-5.01
Which equation applies the associative property of multiplication? (−1/2⋅4/7)+(−1/2⋅2/3)=−1/2⋅(4/7+2/3) (−9/4⋅3/2)⋅(6/3⋅5/7)=−9/4⋅(3/2⋅6/3)⋅5/7 −6/5−(5/3−1/4)=(−6/5−5/3)−1/4 8/9⋅7/4⋅(−5/8)=8/9⋅(−5/8)⋅7/4
Answer:
8/9⋅(−5/8)⋅7/4
Step-by-step explanation:
According to the law of reflection, if the angle of incidence of an incoming ray
of light hitting a mirror is 46°, what is the angle of reflection for the same ray
leaving the mirror?
O A. 180°
O B. 46
O C. 44
O D. 134°
Answer:
B. 46°
Step-by-step explanation:
[tex] \underline{ \bf{LAWS \: OF \: REFLECTION}}[/tex]
Angle of reflection (angle between reflected ray and the normal to the reflecting surface) equals to the angle of incidence (angle between incident ray and normal).[tex] \boxed{\bf{\angle i = \angle r}} [/tex]
The incident ray, reflected ray lie in the same plane with normal to the reflecting surface.Here, if the angle of incidence of an incoming ray of light hitting a mirror is 46°, then the angle of reflection for the same ray leaving the mirror is also 46°.
What is the law of reflection?We know that according to the law of reflection, the angle of incidence and the angle of reflection are equal whenever a light ray reflects off a surface.
How to solve this problem?Here the angle of incidence of an incoming ray of light hitting a mirror = 46°
Using the law of reflection, we can conclude that the angle of reflection = 46°
Therefore if the angle of incidence of an incoming ray of light hitting a mirror is 46°, then the angle of reflection for the same ray leaving the mirror is also 46°. So, option B is correct.
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How many 1/2 cups servings are in a box of cereal that contains 7 1/4 cups of cereal?
Answer:
14 1/2
Step-by-step explanation:
7 1/4 is the whole, to find how many 1/2 cups would fill it, you do 7 1/4 divided 1/2
Determine whether it is possible to draw a triangle with sides having the given measures. If possible, write yes. If not possible write no and make a sketch demonstrating why it isn’t possible
Answer: No, it is not possible to form a triangle with these side lengths.
The sketch is provided below
==========================================================
Explanation:
The triangle inequality theorem says that the sum of any two sides must be larger than the third side.
But notice that 5+6 = 11 which is not larger than 12.
I recommend cutting out slips of paper that are 5 inches, 6 inches and 12 inches long. You can also use software to get the job done, which is what I did. You should see that it is impossible to form a triangle. If you place the 5 inch and 6 inch slips on either end of the 12 inch portion, then you should see the we effectively have an open-ended "triangle". I'm putting it in quotes because we don't have a triangle forming, but instead what looks to be an incomplete version of it.
The sketch of what I'm referring to is shown below. I used Geogebra to make the drawing. Imagine the red and blue segments able to swing freely while the green horizontal segment stays completely still. No matter how the red and blue segments rotate, they will never meet up to form a triangle.
The dashed circles show the range of motion that is possible for each swinging red and blue segment. If the red and blue segments lay perfectly on top of the green segment, they add to 5+6 = 11, which comes up short of the 12 inch segment.
No, it is not possible to draw a triangle with sides measuring 5ft, 6ft, and 12ft.
What is a Triangle?The polygon known as a triangle has three sides and three vertices.
The triangle's total angle is 180 degrees.
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
The reason is that according to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
However, in this case, 5ft + 6ft = 11ft, which is less than the length of the third side, 12ft.
Therefore, a triangle cannot be formed with these side lengths.
To demonstrate why it isn't possible, you can draw a line segment of length 12ft and label it as the third side of the triangle.
Then, try to draw the other two sides (5ft and 6ft) originating from the same endpoint as the 12ft side.
You will notice that the two sides will never meet to form a triangle, since they are too short to bridge the gap between the two endpoints of the 12ft side.
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BIG POINT
Describe the significance of the unit circle to Trigonometry. Make connections to solving, graphing, identities, and other key concepts included in this course. Provide at minimum of 4 connections with an explanation of the connections.
Write in paragraph please.
Answer: (compiled from google)
One radian is the measure of the central angle of a circle such that the length of the arc is equal to the radius of the circle.
A full revolution of a circle ( 360 ∘ ) equals 2 π r a di a n s. This means that 1 radian = 180 ∘ π .
The formula used to convert between radians and degrees is angle in degrees = angle in radians ⋅ 180∘ π .
The radian measure of an angle is the ratio of the length of the arc to the radius of the circle ( θ = sr ) . In other words, if s is the length of an arc of a circle, and r is the radius of the circle, then the central angle containing that arc measures radians.
Key Terms
arc: A continuous part of the circumference of a circle.
circumference: The length of a line that bounds a circle.
radian: The standard unit used to measure angles in mathematics. The measure of a central angle of a circle that intercepts an arc equal in length to the radius of that circle.
The x – and y -coordinates at a point on the unit circle given by an angle
t are defined by the functions x = cos t and y = sin t .
Although the tangent function is not indicated by the unit circle, we can apply the formula
tan t = sin t cos t to find the tangent of any angle identified.
Using the unit circle, we are able to apply trigonometric functions to any angle, including those greater than 90 ∘ .
The unit circle demonstrates the periodicity of trigonometric functions by showing that they result in a repeated set of values at regular intervals.
Key Terms
periodicity: The quality of a function with a repeated set of values at regular intervals.
unit circle: A circle centered at the origin with radius 1.
quadrants: The four quarters of a coordinate plane, formed by the x – and y -axes.
If this doesn't help I appologize
Assuming that Samir is equally likely to hit each of the 10 targets, what is the probability that he will miss at least one of them?
Answer:40%
Step-by-step explanation:
Need help with this math problem. Look at the picture.
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[tex] \frac{ {3}^{4} \times {v}^{2 \times 4} }{ {w}^{4 \times 4} } = \frac{81 {v}^{8} }{ {w}^{16} } \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
At a store, 3 pieces of cake and 4 pieces of bread together
cost $18.60. The total cost of 2 pieces of cake and 2 glasses of
juice is $12.34. If one piece of cake costs 2 times as much as
one piece of bread, what is the total cost of 5 pieces of cake
and 4 glasses of juice? Include two decimal places in your
answer. For example if the answer is $12 enter it as $12.00.
9514 1404 393
Answer:
$28.40
Step-by-step explanation:
Using the given information, we can write three equations relating the three item prices. Let c, b, and j represent the cost of 1 item each of cake, bread, and juice.
3c +4b = 18.60
2c +2j = 12.34
c = 2b
Multiplying the third equation by 2 gives an expression for 4b that we can substitute into the first equation.
2c = 4b
3c +2c = 18.60
c = 18.60/5 = 3.72
Doubling the second equation almost gives us the purchase we want.
2(2c +2j) = 2(12.34)
4c +4j = 24.68
Adding one more cake to this give the desired purchase:
(4c +4j) +c = 24.68 +3.72
5c +4j = 28.40
The total cost of 5 pieces of cake and 4 glasses of juice is $28.40.
10^7+9+1^3 helppp meeee
Answer:
10000010
Step-by-step explanation:
10^7 is 10000000 plus 9 plus 1^3 which is 1.
10000000+9+1=10000010
Answer:
10000010
Step-by-step explanation:
Lets break down this problem. 10^7 is equal to 10000000 because the exponent is 7 so we add 7 zeros at the end of 1. 1^3 is equal to 1 because any 1 to the power of a positive integer is 1. So, the equation becomes 10000000+9+1 which is equal to 10000010.
What is the sum of F(X) and G(x) if F(x) = 8x ^ 3 + 7x ^ 2 - 11x + 20 and G(x) = - 5x ^ 3 - 4x ^ 2 - 17
Answer:
[tex]3x^{3}+3x^{2}-11x+3[/tex]
Step-by-step explanation:
f(x) + g(x) = [tex]8x^{3}+7x^{2}-11x+20-5x^{3}-4x^{2}-17[/tex]
To make this equation a little less long, we combine like terms
[tex](8-5)x^{3}+(7-4)x^{2}-11x+(20-17)[/tex]
or just
[tex]3x^{3}+3x^{2}-11x+3[/tex]
(30 points!) list the angles least to greatest
Answer:
Step-by-step explanation:
A
Kayla hikes 25 meters in 13.7 seconds. Which of the following closest to how far she will hike in 6 minutes, if she maintains the same pace
Answer:
197.28 meters in 6 minutes
Step-by-step explanation:
13.7 seconds ÷ 25 meters = 0.548 meters in 1 second
6 minutes = 360 seconds (6 minutes x 60 seconds in every minute = 360 seconds)
0.548 meters in 1 second x 360 seconds = 197.28 meters in 6 minutes
Hopefully this helped! Sorry if wrong. You are loved and you are beautiful/handsome!
-Bee
f(2)=3x^2-6x+2
I need help!!!
Answer:
2
Step-by-step explanation:
substitute x by the value in the function, here its f(2) so
3(2)^2 - 6(2)+2
= 12 - 14 = 2
Suppose a local pizzeria delivers pizzas every day of the week and their delivery times are normally distributed with a mean of 30 minutes with a standard deviation of 4 minutes. Determine the interval that contains the middle 80% of delivery times.
Answer:
interval in minutes = (24.88, 35.12)
Step-by-step explanation:
we can use the following formula:
interval = population mean ± (z · σ)
population mean = 30 minutesz for 80% = 1.28σ = 4 minutesinterval = 30 minutes ± (1.28 · 4 minutes)
interval in minutes = (30 - 5.12), (30 + 5.12) = (24.88, 35.12)
Find the slope of the line
Answer:
C. -3/4
Step-by-step explanation:
The Slope is always rise over run or
rise
___
run
so with X you rise up 3 and Y, you run down 4 so the slope is C.
-3/4