9 different coin combinations that equal 76 cents
Help me reduce this please!!!
Xavier is a salesperson who is paid a fixed amount of $455 per week. He also earns a commission of 3% on the sales he makes. If Xavier wants to earn more than $575 in one week, how many dollars (x) in sales must he make?
The answer is c reason I now this is cause I had this on my test
1/6d + 2/3 = 1/4(d-2)
What are the excluded values of x for x^2-9x/x^2-7x-18
The excluded values of x for x^2-9x/x^2-7x-18 are -2 and 9
The expression is given as:
x^2-9x/x^2-7x-18
Set the denominator of the expression to 0
x^2-7x-18 = 0
Expand the above expression
x^2 + 2x -9x -18 = 0
Factorize the expression
x(x + 2) -9(x +2) = 0
Factor out x + 2
(x -9)(x +2) = 0
Solve for x
x = 9 and x = -2
Hence, the excluded values of x for x^2-9x/x^2-7x-18 are -2 and 9
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John and Tim are looking at the equation the square root of the quantity of 3 times x minus 4 equals square root of x . John says that the solution is extraneous. Tim says the solution is non-extraneous. Is John correct? Is Tim correct? Are they both correct? Justify your response by solving this equation, explaining each step with complete sentences. (10 points)
multiply 2/7 with its additive inverse
starting from 105 feet away a person on a bicycle rides toward a checkpoint and then passes it.the rider is traveling at a constant rate of 35 feet per second.The distance between the bicycle and the checkpoint given by the equation is D=|105-35t|.at what times is the bike 60 feet away from the checkpoint?
A.1.3 sec and 2.6 sec
B.1.3 sec and 4.7 sec
c.1.1 sec and 2.6 sec
d.4.7 sec and 9.4 sec
WHO EVER ANSWERS IT FIRST AND RIGHT GETS BRAINIEST
Answer:
The correct option is B.
Step-by-step explanation:
It is given that starting from 105 feet away a person on a bicycle rides toward a checkpoint and then passes it.the rider is traveling at a constant rate of 35 feet per second.
The distance between the bicycle and the checkpoint given by the equation
[tex]D=|105-35t|[/tex]
We have to find the times at which the bike 60 feet away from the checkpoint.
Substitute D=60 i the given equation.
[tex]60=|105-35t|[/tex]
[tex]\pm 60=105-35t[/tex]
Case 1:
[tex]60=105-35t[/tex]
Subtract 105 from both the sides.
[tex]60-105=-35t[/tex]
[tex]-45=-35t[/tex]
Divide both sides by -35.
[tex]1.2857=t[/tex]
[tex]t\approx 1.3[/tex]
Case 2:
[tex]-60=105-35t[/tex]
Subtract 105 from both the sides.
[tex]-60-105=-35t[/tex]
[tex]-165=-35t[/tex]
Divide both sides by -35.
[tex]4.71428=t[/tex]
[tex]t\approx 4.7[/tex]
The bike is 60 feet away from the checkpoint at 1.3 sec and 4.7 sec. Therefore the correct option is B.fore the correct option is B.
A manufacturer wants to design an open-top box having a square base and a surface area of 120 square inches. what dimensions will provide a box with maximum volume?
The dimensions √30 inches square and 4 inches high will provide a box with maximum volume.
What are maxima and minima?The Maxima and minima of a function are the extremes within the range, in other words, the maximum value of a function at a certain point is called maxima and the minimum value of a function at a certain point is called minima.
It is given that:
A manufacturer wants to design an open-top box having a square base and a surface area of 120 square inches.
Let's suppose x is the base edge length and h is the box height.
x² + 4xh = 120
h = (120 - x²)/(4x)
h = 30/x - x/4
Volume = x²(30/x - x/4) = 30x - x³/4
dV/dx = 0
30 - x² = 0
x = √30
h = 120/x² = 120/30 = 4 inches
The box is √30 inches square and 4 inches high.
Thus, the dimensions √30 inches square and 4 inches high will provide a box with maximum volume.
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How do u you a irrantional number from a rational number?
Why, if two wrongs don't make a right, do two negatives make a positive in mathematics?
So, we can’t directly compare wrong with that of negative. Let me give an example. Let’s just think of Terrorism. Do you think there are positive and negative sides of terrorism? Mostly the answer would be no. There is no such things as positive and negative when we think of terrorism. But here we can directly say that Terrorism is always wrong whenever and wherever we talk about it.
I think now I have cleared your doubts about difference between wrong and negative. That’s why we can never say that two wrong can make a right. I hoped this helped!!
Final answer:
In mathematics, two negatives make a positive due to the rules of multiplication and addition. This rule is a fundamental property of mathematics and is consistent across various mathematical operations and contexts.
Explanation:
In mathematics, two negatives make a positive due to the rules of multiplication and addition. When two negatives are multiplied, the negative signs cancel each other out and result in a positive product. For example, (-4) x (-3) = 12, where both numbers are negative but the product is positive.
The same concept applies to addition as well. When two negative numbers are added, the negative signs combine and result in a negative sum. However, when two negative numbers are multiplied, the negative signs cancel out and produce a positive product.
It's important to note that this rule is a fundamental property of mathematics and is consistent across various mathematical operations and contexts.
a writer gets paid monthly at a rate of $300 for each article she completes last moth she wrote 11.8 articles how much money did she get paid last month? show your work
Answer:
She got paid last month $3540 .
Step-by-step explanation:
This problem can be solve by rule 3, knowing that she gets paid for each article a rate of $300.
1 article ------- $300
11.8 article----- x
Next you have to calculate the value of x as follows:
[tex]x=\frac{11.8*300}{1}[/tex]
x=3540
She got paid last month $3540.
In △ABC, the coordinates of vertices A and B are A(1,−1) and B(3,2). For each of the given coordinates of vertex C, is △ABC a right triangle?
Select Right Triangle or Not a Right Triangle for each set of coordinates.
C(0,2) right triangle or not a right triangle?
C(3,-1) right triangle or not a right triangle?
C(0,4) right triangle or not a right triangle?
Answer:
C(0,2) - Not A Right Angle
C(3,-1) - Right Angle
C(0,4) - Right Angle
I took the unit test and after this was the correct and answer. Hope this helps :))
Final answer:
To determine if △ABC is a right triangle, we can use the distance formula to calculate the lengths of the sides of the triangle. By comparing the squares of these lengths, we can determine if △ABC is a right triangle. For the given coordinates of vertex C, △ABC is not a right triangle.
Explanation:
To determine if △ABC is a right triangle, we need to check if the square of the length of the longest side is equal to the sum of the squares of the other two sides. Using the distance formula, we can find the lengths of AB and AC for each set of coordinates for vertex C. We then compare the squares of these lengths to determine if △ABC is a right triangle.
For C(0,2), the distance between A(1,-1) and C is √((0-1)^2 + (2-(-1))^2) = √(1 + 9) = √10. The distance between B(3,2) and C is √((0-3)^2 + (2-2)^2) = √(9 + 0) = 3. The longest side is AB with length √(2^2 + 3^2) = √(4 + 9) = √13. Since √13 is not equal to √10 + 3, △ABC is not a right triangle.
Following the same calculations for C(3,-1) and C(0,4), we find that △ABC is also not a right triangle for both cases. Therefore, the answer for all three sets of coordinates is Not a Right Triangle.
there are 13 animals in the barn some are ducks and some are pigs there are 42 legs in all how many of each animal are there (ducks have 2 legs and pigs have 4)
What is the ratio 42 to 48 as a fraction in simplest form?
The perimeter of a rectangular garden is 98 feet. the length of the garden is 4 feet more than twice the width. what is the length of the garden?
Is this right? Domain and range of a function
1. What is the value of x in the triangle?
Enter your answer in the box. Round your final answer to the nearest hundredth.
x = cm
2. What are the values of the trigonometric ratios for this triangle?
Drag the answer into the box to match each ratio.
sinθ-----
cosθ-----
tanθ-----
OPTIONS YOU CAN DRAG
5/4
3/4
3/5
4/3
4/5
5/3
3. What is the value of x in this triangle?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
x = °
4. What is the value of θ for the acute angle in a right triangle?
sin(θ)=cos(58°)
Enter your answer in the box.
θ= °
5. A party tent is used for an outdoor event. Ropes of equal length support each tent pole. The angle the rope makes with the floor is 55°.
What is the height of each pole?
Enter your answer in the box. Round only your final answer to the nearest tenth.
6. What is the exact value of sin 60° ?
Enter your answer, as a simplified fraction, in the box.
Answer: Took the test correct :)
Step-by-step explanation:Problem 1
cos(angle) = adjacent/hypotenuse
cos(18) = x/25
25*cos(18) = x
x = 25*cos(18)
x = 23.7764129073789
x = 23.78
Answer: x = 23.78
=====================================================
Problem 2
theta = greek letter that looks like a "zero" or the letter O with a horizontal line through it
With the reference angle of theta, the opposite side is 3. This side is the leg furthest from the angle theta. In contrast, the side 4 is the closest leg to theta. The longest side 5 is the hypotenuse. The hypotenuse is always the lonest side
sin(theta) = opposite/hypotenuse
sin(theta) = 3/5
cos(theta) = adjacent/hypotenuse
cos(theta) = 4/5
tan(theta) = opposite/adjacent
tan(theta) = 3/4
---------------------------
In summary:
sin(theta) = 3/5
cos(theta) = 4/5
tan(theta) = 3/4
=====================================================
Problem 3
cos(angle) = adjacent/hypotenuse
cos(x) = 15/29
x = arccos(15/29) .... inverse cosine or cos^(-1) also works
x = 58.852610078491
x = 58.85
Answer: x = 58.85
=====================================================
Problem 4
The rule we'll use is
sin(x) = cos(90-x)
sin(theta) = cos(90-theta)
cos(90-theta) = cos(58)
90 - theta = 58
90 - theta+theta = 58+theta
90 = 58+theta
90-58 = 58+theta-58
32 = theta
theta = 32
Answer: 32
=====================================================
Problem 5
x = height of pole
the vertical side is the side we want, which is the opposite side compared to the angle 55 degrees
sin(angle) = opposite/hypotenuse
sin(55) = x/25
25*sin(55) = x
x = 25*sin(55)
x = 20.4788011072248
x = 20.5
Each pole is roughly 20.5 feet tall.
=====================================================
Problem 6
The exact value is the fraction sqrt(3)/2 which can be written as \frac{\sqrt{3}}{2}
"sqrt" is shorhand for "square root"
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if two angles are supplementary, then it adds up to 180 degrees True or false?
The price of a bracelet increase from $170 to $200 A Mother's Day what is the percent of increase in the price rounded to the nearest percent
A cookie factory uses 3/8 of a barrel of oatmeal in each batch of cookies with the factor uses 3/4 of a barrel of oatmeal yesterday how many batches of cookies did the factory make
The cookie factory made 2 batches of cookies yesterday. This is found by dividing the total amount of oatmeal used (3/4 of a barrel) by the amount used per batch (3/8 of a barrel).
Explanation:To find the number of batches of cookies the factory made, we would divide the total amount of oatmeal used by the amount used per batch.
The factory used 3/4 of a barrel of oatmeal yesterday, and each batch uses 3/8 of a barrel. So, we divide 3/4 by 3/8.
Before doing that, remember that dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of 3/8 is 8/3.
So, 3/4 divided by 3/8 is equivalent to 3/4 multiplied by 8/3, giving us a result of 2.
Therefore, the cookie factory made 2 batches of cookies yesterday using 3/4 of a barrel of oatmeal.
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If PQ bisects CX at point J, and if JX = 4y and CJ = y+9 find y
By setting the given equations equal to each other (JX = CJ), we can create a new equation (4y = y +9). This equation simplifies to 3y = 9, giving a solution of y = 3.
Explanation:The problem you're facing deals with bisecting line segments, which is a topic under Geometry. Remember, if a segment bisects another, that means it divides the second segment into two equal parts. In this case, PQ bisects CX at point J, so JX = CJ.
We're also given that JX = 4y and CJ = y + 9. Because JX = CJ, we can set the two equations equal to each other and solve for y:
4y = y + 9
By subtracting y from both sides, we get
3y = 9
Finally, by dividing both sides by 3, we solve for y, which is 3
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a family pays $19 each month for internet access. next mont, the cost will increase by 5% because of the equipment fee. After this increase, what will be the cost for the internet
The cost for the internet after an increase is $19.95.
Given that,
The family pays $19 each month. And, the cost should be increased by 5%.Based on the above information, the cost for the internet after an increase is
= $19 + 5% of $19
= $19 + $0.95
= $19.95
Therefore we can conclude that the cost for the internet after an increase is $19.95.
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what is x ⋅ x ⋅ x = ?
Xy has endpoints at x(2,-3) and y(-1,2). What is the length of xy
Peter is reading a 193-page book. he has read three pages more than one-fourth of the number of pages he hasn't yet read. how many pages has he not yet read? 147 144 152 141
An area of 16m^2 can be covered by 1.5 litres of pain. How many litres are needed to cover 20m^2?
Which of these statements about the two triangles is true?
There is not enough information to determine whether the triangles are congruent or not congruent.
The triangles are congruent by the SAS Congruence Postulate.
The triangles are not congruent.
Vehicle a averages 14 miles per gallon of gasoline, and vehicle b averages 36 miles per gallon of gasoline. at these rates, how many more gallons of gasoline does vehicle a need than vehicle b to make a 1,008-mile trip?
Final answer:
Vehicle A requires 72 gallons and vehicle B requires 28 gallons for a 1,008-mile trip. Therefore, vehicle A needs 44 more gallons of gasoline than vehicle B for the trip.
Explanation:
To calculate the number of gallons of gasoline each vehicle needs for the trip, we would divide the total distance of the trip by the miles per gallon (mpg) that each vehicle gets. Then, to find out how many more gallons of gasoline vehicle A needs than vehicle B, we subtract the gallons of gasoline used by vehicle B from the gallons used by vehicle A.
First, we find the gallons needed for vehicle A:
Vehicle A: 1,008 miles ÷ 14 mpg = 72 gallonsNext, we calculate the gallons needed for vehicle B:
Vehicle B: 1,008 miles ÷ 36 mpg = 28 gallonsFinally, we determine how many more gallons vehicle A requires than vehicle B:
Additional gallons needed by vehicle A: 72 gallons - 28 gallons = 44 gallons
∠E and ∠F are vertical angles with m∠E=8x+8 and m∠F=2x+38 . What is the value of x? Enter your answer in the box.
Answer:
5 is the answer
Step-by-step explanation:
I'm from K12