Answer:
To find out how long Hannah will need to pay her balance, we need to divide the balance by the monthly payment amount and then round up to the nearest whole number.
1600 (balance) / 114 (monthly payment) = 14 months.
So the answer is C, 14 months.
It's important to note that this is an estimate, and Hannah may end up paying off the balance sooner or later depending on interest rates, fees, or any changes to her monthly payments.
Step-by-step explanation:
John has a part-time job delivering pizza. He earns a base salary of $7.15 per hour and his average
tip for delivering pizza is 18% of the price of the pizza. How much will he earn if he delivers $452
worth of pizza during a 6-hour shift?
The Kim family must drive 5 hours to reach their destination. They drive 2 4/8 hours before stopping for the first time. Then they drive 1 1/3 hours before stopping again. How many more hours will it take for the Kim family to reach their destination. Show all of your work.
The number of hours that it will take more for the Kim family to reach their destination would be = 1.2 hours
How to calculate the number of hours?The total number of hours it will take for the Kim family to travel = 5 hours.
The first drive = 2 4/8 hours
The second drive = 1 ⅓ hours
The number of hours that they need to travel more will be = X
That is 5 = X + 2 4/8 + 1⅓
Make X the subject of formula:
X = 5- ( 2 4/8 + 1⅓)
X = 5 - ( 2.5 + 1.3)
X = 5 - ( 3.8)
X = 5 - 3.8
X = 1.2 hours.
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Find an equation in vertex form for the parabola with focus(1,4)
and
directrix x=5
.
The parabola equation is x = (-1/2)y2 - 4y - 1.5 when the focus and directrix are (1, 4) and 5 respectively.
what is equation ?An equation is a mathematical formula that joins two statements and uses the equal symbol (=) to indicate equivalence. A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign divides the variables 3x + 5 and 14. The relationship between the two sentences on either side of a letter is explained by a mathematical formula. There is frequently only one variable, which also serves as the symbol. for instance, 2x - 4 = 2.
given
The equation's fundamental form is:
4p(x-h) = (y-k) (y-k)
The vertex is at 2 (h,k).
P is the separation between the vertex and the directrix or focus. Between the two is where the vertex is located.
Directrix: x=2, focus: (1, -4).
Vertex at the perpendicular midpoint of (1.5, -4)
Parabola opens left because it faces the focus and moves away from the directrix. This implies that p will be negative. P would be positive if the parabola opened to the right. p = -0.5
Putting this together:
4(-0.5)(x-1.5) = (y-(-4))2
-2(x-1.5) = (y+4)2
-2(x-1.5) = y2 + 8y + 16
x - 1.5 = (-1/2)(y2 + 8y + 16)
x = (-1/2)y2 - 4y - 8 + 1.5
The parabola equation is x = (-1/2)y2 - 4y - 1.5 when the focus and directrix are (1, 4) and 5 respectively.
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Can anyone tell me What is 95% of 75
Answer:
Also could you mark my answer as brainliest? It helps and doesnt hurt
3. The towers used by radio
broadcasters are tall and slender.
Using the term centre of gravity,
describe three ways you could
make a radio tower more stable
without decreasing its height.
These towers are tall, slender structures, and they work best with broad-range signals, including broadcast radio and similar outputs.
what are the towers used by ratio?
Tower Ratio means the quotient (multiplied by 100 to express such quotient as a percentage) obtained by dividing the Average Closing Price by the Starting Date Price.Lattice Towers. Lattice towers are freestanding and segmentally designed with rectangular or triangular base steel lattices. ...Guyed Towers. ...Monopole Towers. ...Camouflage Towers. ...Self-Support Towers. ...Mobile Cell Towers.A monopole tower is a simple single pole. Its elementary design reduces visual impact and is relatively simple to build, which is why this tower is favored by tower developers. A lattice tower is a freestanding vertical tower designed with rectangular or triangular bases.To learn more about radio refers to:
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Which of the following is the correct solution to the linear inequality shown
below?
y<2/3x+1
-
The line of the inequality will be dotted and the origin is the solution to the inequality. Hence option A is the correct option.
What is inequality?Inequalities are mathematical expressions in which neither side is equal. Unlike equations, we compare two values in inequality. In between, the equal sign is replaced by a less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Given the equation of the inequality is y <2/3 x +1.
The inequality contains a less than symbol.
If an inequality contains less than or equal/ greater than or equal sign, then the line of the inequality will be solid.
If an inequality contains less than or greater than, then the line of the inequality will be dotted.
The line of the given inequality will be dotted.
Now putting x = 0, y = 0 in the inequality:
0< (2/3×0) + 1
0 < 1 true.
Thus (0,0) is a solution to the inequality.
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Solve
Plsss helpppppp
Answer:
∠L = 51°
Hope this helps!
Step-by-step explanation:
Alternate exterior angles theorem
Complete the statements below about the area of the red rectangle.
Area of a rectangle equals Length ×Breadth The rectangle's size in red is equal to 0.5833 square units .
What is a formula of area of rectangle?The size of a rectangle. A = l × b. Once the length and breadth are known for any rectangle, the area may be determined. The area of the rectangle is calculated as a square-unit dimension by multiplying length and width.
length (a) = 7/8
Width (b) = 2/3
Area (A) = 0.5833 square units
P = 3.0833 for the perimeter.
Parallel (d) equals 1.1
A shape's surface area is measured by its area. By multiplying the length and breadth of a rectangle or square, you can get its area. Area A is equal to x times y. Side x Side equals the area of a square. So, Side2 square units = the area of the square. therefore a square's perimeter is equal to four units of its sides.
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A commercial popcorn machine makes 12 pounds of popcorn, which can fill __ 4-ounce bags.
A) 24
B) 36
C) 40
D) 48
Show work please
Answer: 48
Step-by-step explanation: 1 pound is 16 ounces therefore each pound will have 4 bags since 16 divided by 4 is 4, 12 times 4 is 48
what is the vertex form of fx- { x }^{ 2 } +6x+5
Answer:
The answer is f(x)=(x+3)2−4 .
Step-by-step explanation:
To convert to vertex form, you must complete the square. We add k to complete the square inside the brackets, but whatever we add inside, we must subtract outside the brackets to keep the equation balanced.
Lyle has a bowl that contains 0.8 kilograms of salt he uses a spoon to remove 850 centigrams of salt how much salt (in centigrams) is still in the bowl remember that units need to be equal in order to compare
Using the standard metric system, the mass of salt left in the bowl is equal to 791.5g
What is Mass LeftTo determine the mass left in the bowl, we have to use the understanding of metric system.
1kg = 1000g
0.8kg = xg
Cross multiply both sides and solve for x
x = 1000 * 0.8
x = 800g
The mass of salt in the bowl originally was 800g.
But 850cg was removed from it;
1g = 100cg
xg = 850cg
Cross multiply both sides and solve for x;
This will give us
x = 850 / 100
x = 8.5g
The amount of salt left = 800 - 8.5 = 791.5g
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1.3 X 2.1 = Explain your answer.
2.73
1.3x2.1=2.73
1.3
x2.1
13
+26
2.73
Answer:
To multiply 1.3 by 2.1, we need to use the distributive property of multiplication, which states that:
a × (b + c) = a × b + a × c
Using this property, we can break down 2.1 as the sum of 2 and 0.1:
1.3 × 2.1 = 1.3 × (2 + 0.1)
= 1.3 × 2 + 1.3 × 0.1
= 2.6 + 0.13
= 2.73
Therefore, 1.3 multiplied by 2.1 equals 2.73.
Find dy/dx if y = e^sin√x
dy/dx = (1/2)e^(sin√x) * cos√x , when y = e^sin√x
To find dy/dx, we can use the chain rule. The chain rule states that if y = f(g(x)), then dy/dx = dy/dg × dg/dx. In this case, we have:
y = e^(sin√x)So, f(x) = e^x and g(x) = sin√x. Therefore, dy/dx = dy/dg × dg/dx = e^(sin√x) × (cos√x) × (1/2√x)Simplifying, we get: dy/dx = (1/2)e^(sin√x) × (cos√x) × x^(-1/2)To learn more about Differentiation,
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someone figure this out please
Answer:
24.3 miles per gallon
Step-by-step explanation:
the equation is in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
given
y = 24.3 ← is in slope- intercept form with c = 0
the slope is the rate of change , then
rate of change = 23.4 miles per gallon
You get $50 to spend at an arcade. You buy food with $20
and want to use the rest for games. Each game is $2. How
many games can you play?
Answer:
15
Step-by-step explanation:
You start with $50, and if $20 is spent on food then you have 50-20= $30 remaining for games.
Games are $2 each, and you have $30 for games, so we can divide the amount of money you have by the amount of money required for each game to find out how many games you can play:
30/2 = 15
Therefore after spending $20 on food, you are able to play 15 games with the remaining money.
SURVEYING How far is it across the pond?
On solving the provided question, we can say that to across the pond he ha to cover equation 2x +3x = 325 - 156 + 1 => x = 34cm/sec
What is equation?A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.
here,
to across the pond
we can form an equation 2x +3x = 325 - 156 + 1
5x = 170
x = 34
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use vieta's therom to solve each problem. the difference of two solutions of x^2-17x+c=0 is 1. find c
Using Vieta's Theorem the value of c = 72.
What is the Vieta Theorem?Suppose we have a quadratic equation, in the following format:
ax² + bx + c, were a, b, and c are constant.
The roots are p and q.
As, The Theorem states that:
p + q= -b/a
pq= c/a
We have given the polynomial x²-17x+c=0
So, a= 1, b= -17
Since the difference of the solutions is 1, we have that:
p -q= 1
p = 1+ q
Now, using p + q= -b/a
1 + q + q= -(-17)/1
2q +1 = 17
2q= 16
q= 16/2
q= 8
and, p = 1+ q= 9
Again pq = c/a
8 x 9 = c/1
c= 72
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Anything helps thanks!
Answer:
it's B
Step-by-step explanation:
9wcbux2v9wcuuv9w9uve2cu92cveu02x0v2xuv2uh wce
Question 100p+brain
What is the value of x?
Enter your answer in the box.
x =
2x-4 & 5y
Because all sides are congruent, it is an equilateral triangle. You can see this based on the lines on the sides of the triangle. Because of this, all angles are equal to each other. In a triangle, the sum of angles is 180 degrees with each angle being equal to 60 degrees.
Because both angles are equal, you get. Since you're solving for x, set 5y equal to 60 then solve for x.
5y = 2x - 4
60 = 2x - 4
60 +4 = 2x
64 = 2x
32 = x
x = 32
To confirm if this is correct, plug in 32 for x in 2x -4
2(32)-4 = 64 -4 = 60 degrees
x = 32
Answer: x=45?
Step-by-step explanation:45*2=90-4=86
The Ferris wheel shown makes 17 revolutions per ride. How far would someone travel during one ride? Round your final answer to the nearest whole number. Use 3.14 for π. diameter 54 feet
Answer: To find the distance traveled during one ride, we need to find the circumference of the circle formed by the Ferris wheel's rotation. The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle.
Given that the diameter of the Ferris wheel is 54 feet, we can find the radius by dividing the diameter by 2:
r = 54 / 2 = 27
Therefore, the circumference of the circle is:
C = 2πr = 2 * 3.14 * 27 = 170.68
To find the distance traveled during one ride, we need to multiply the circumference by the number of revolutions:
distance = C * 17 = 170.68 * 17 = 2,908.76
Rounded to the nearest whole number, the distance traveled during one ride is 2909 feet.
Step-by-step explanation:
Given: ABCD is a parallelogram, AC is perpendicular to BD and AC is congruent to BD
Prove: ABCD is a square.
It is a rhombus since the parallelogram's sides are all equal. ABCD is a square because the diagonals of the rhombus ABCD are equal.
what is parallelogram ?A simple quadrilateral with two sets of parallel sides is known as a parallelogram in Euclidean geometry. Both sets of opposite sides are parallel and equal in a particular type of quadrilateral known as a parallelogram. Parallelograms come in four varieties, three of which are exclusive. The four different shapes are rhombuses, parallelograms, squares, and rectangles. A quadrilateral is a parallelogram if it has two sets of parallel sides. In a parallelogram, the cross-sectional lengths of the opposing sides and angles are equal. The inner angles add additional angles to the horizontal line on the same side. There are a total of 360 interior angles.
Given:
The diagonals AC and BD in the parallelogram ABCD are equal and perpendicular to one another.
∠DOC=∠COB=∠BOA=∠AOD=90
We are aware that a parallelogram's diagonals are divided in half.
OA=OC=OB=OD, thus...
(1) In OA=OA [Common side] in AOD&AOB, AOD=BOA=90
[Given]
[from (1)] OD=OB
Consequently, AODAOB [By SAS Rule of Congruency]
Thus, AD = AB.
Thus, AB=BC=CD=DA.
(2) ABCD is a parallelogram, therefore
It is a rhombus since the parallelogram's sides are all equal. ABCD is a square because the diagonals of the rhombus ABCD are equal.
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I am the largest 5 digit even number that you can make that has a 3 in the thousands place
what number am i?
Answer:
Largest even number is 99998
So when its thousands place is to be 3 then the number is 93998.
Step-by-step explanation.
i think this is it
Consider the system.
6x-3y = 66
x + 3y = -10
Complete the description for three different substitution methods that can be used to solve the system.
Solve the second equation for x (x = - 3y) and then substitute the value into the first equation.
Solve the first equation for y (y = 2x - ) and then substitute that value into the second equation.
Solve either equation for 3y (3y = - x or 3y = 6x - ) and then substitute that value into the other equation.
The points of solution that are obtained for the system of linear equations 6x - 3y = 66 and x + 3y = -10 are (8,6).
The substitution methods given are incomplete and incorrect.
What is a linear equation?
A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
The system of linear equations are -
6x - 3y = 66....(1)
x + 3y = -10....(2)
Simplify the equation (1) and (2) by adding -
6x + x - 3y + 3y = 66 - 10
7x = 56
x = 8
Substituting the value of x = 8 in equation (1) -
6x - 3y = 66
6(8) - 3y = 66
48 - 3y = 66
-3y = 66 - 48
-3y = 18
y = -6
Therefore, the final value is obtained as (8,6).
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15 and 3/4 divided by 7 as a fraction
15 and 3/4 divided by 7 as a fraction, the value is 2 1/4.
What is a fraction?A topic in mathematics that involves an expression having two parts called numerator and denominator is known as fraction. Types of fraction are mixed fraction, improper fraction and a proper fraction.
A mixed fraction is a type of fraction which is expressed by a whole number and a fractional part.
Considering the expression in the given question 15 and 3/4 divided by 7 as a fraction, we have;
(15 3/4) / 7 = (63/ 4)/ 7
= (63/ 4) * 1/ 7
= 63/28
= 2 1/4
So that, 15 and 3/4 divided by 7 as a fraction is 2 1/4.
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PLEASE HELP!!
Thirteen coins add up to $1.00. If the coins are all nickels and dimes, how many of each are there?
The number of Nickels and Dimes out of the 13 coins are respectively; 4 Nickels and 9 Dimes
How to solve Linear Equation Problems?We are told that we have 13 coins and they are all nickels and dimes and they sum up to $1.00.
Let N represent nickels.
Let D represent dimes
Thus;
N + D = 13
D = 13 - N
From conversion tables of nickels and dime to dollars, we can generate the equation;
$0.05N + $0.10D = $1.00
Plug in 13 - N for D to get;
$0.05N + $0.10(13 - N) = $1.00
$0.05N + $1.30 - $0.10N = $1.10
0.20 = 0.05N
N = 0.20/0.05
N = 4
D = 13 - 4
D = 9
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Determine whether the following statement is always, sometimes, or never true
The statement is always true that if |a| > 0, then the graph of f(x) = a∛x rises as x increases. The solution is obtained by graphing the function.
What is graphing of a function?
Drawing the graph of an applicable function is the process of graphing a function. While graphing simple functions like direct, quadratic,etc. is fairly easy, complex functions like rational, logarithmic,etc. bear some complexity and an understanding of certain fine ideas. Every point on the curve will satisfy the function equation if the curve represents the function.
We are given a function f(x) = a∛x.
We know that |a| will always be greater than or equal to 0 irrespective of "a" being positive or negative.
If |a| > 0, then the graph of f(x) = a∛x is a vertical stretch of the graph of g(x) = ∛x.
The graph for g(x) = ∛x is shown below.
Since, g(x) = ∛x rises as x increases, the same must be true for f(x) = a∛x.
Hence, if |a| > 0, then the graph of f(x) = a∛x rises as x increases.
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how many is 10 +10
and how many is 1+1
Answer: 10+ 10 = 20
1+1= 2
Step-by-step explanation:
Leila has a rectangle poster. The poster is 1.8 meters long and 1.25 meters wide. What is the area of the poster in square centimeters?
Answer:
22500 square centimeters
Step-by-step explanation:
1.8 meters= 180 cm
1.25 meters= 125 cm
180 times 125 = 22500
If a = 17, what is 18a - 89 ?
Answer: 18(a)-89=217
Step-by-step explanation:
If a = 17 then you substitute/replace the a with the 17. Making 18(a) into 18(17). 18(17)= 306 - 89 = 217.
Hope this helped.
Answer:217
Step-by-step explanation:
putting the value of a in the equation.
18×17-89= 217
2. What is the length of segment AB?
•20√/3cm
•10cm
•20cm
•10√3cm
The section of a line that connects A and B.AB line A and B are on an infinite line.Segment AB has a length of 10 units.
What is the length of segment AB?The section of a line that connects A and B.AB line A and B are on an infinite line.By calculating the distance between a line segment's two endpoints, its length can be calculated.It is the route that has a known length and can be measured between the two points.Using the distance formula between two endpoints, one can calculate the length of a line segment on a graph.It turns into a line segment if you mark two points on it, A and B, and then choose this segment independently.A and B, the ends of this line segment, both have fixed lengths.
The length of this line segment equals the distance between endpoints A and B.
A(x A: y A):B (x B: yB )
The distance between A and B
d = √( x B - x A )² + Y B - YA ) ²
A( 6: 2) :B( 0: 10)
AB = √(0 - 6 )² + ( 10 - 2) ²
= √6² +8² = √36 +64\s= √ 100 = 10
Segment AB has a length of 10 units.
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