Answer:
84$
Step-by-step explanation:
1. 20% of 70
0.20x70 = 14
2. Markup then add
70 + 14 = 84$
¿Qué es y cómo se forman un enlace químico?
Frank ate 12 pieces of pizza and Dave ate 15 pieces. “I ate 1/4 more,” said Dave. “I ate 1/5 less,” said Frank. Who was right?
Dave and Frank are both right.
The correct answer would be Frank because 12 is less than 15.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We are given that Frank ate 12 pieces of pizza and Dave ate 15 pieces. “I ate 1/4 more,” said Dave. “I ate 1/5 less,” said Frank.
Therefore, If Dave ate ¼ more than Frank, we would need to divide the denominator by the amount of pizzas,
Thus, if 12÷4 is 3 he ate three more pizzas than Frank.
If we do the same for Frank, ⅕
15÷5=3
Hence, the correct answer would be Frank because 12 is less than 15.
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on the July 7 billing date, Marvin had a balance due of $216.71 on his credit card. the transactions during the following month were
July 14 office supplies $52.04 July 17 scarf $15.66
July 21 payment of $100
July 24 charge: toy truck $44.03
the interest rate on the card is 1.25% per month. using the previous balance method find the finance charge on August 7 then find the new balance of August 7.
simple interest formula i=prt
Answer:
The first step is to calculate the average daily balance for the billing cycle. This is done by adding up the daily balances for each day of the billing cycle and then dividing by the number of days in the billing cycle. In this case, the billing cycle is from July 7 to August 6, so there are 31 days in the billing cycle.
The daily balances are as follows:
* July 7: $216.71
* July 14: $268.75
* July 17: $284.37
* July 21: $116.71
* July 24: $260.74
The average daily balance is therefore $226.81.
The next step is to calculate the finance charge. This is done by multiplying the average daily balance by the interest rate and then by the number of days in the billing cycle. In this case, the interest rate is 1.25% and the number of days in the billing cycle is 31 days.
The finance charge is therefore $7.43.
The final step is to calculate the new balance. This is done by adding the finance charge to the previous balance. In this case, the previous balance is $216.71 and the finance charge is $7.43. The new balance is therefore $224.14.
Here is the solution in mathematical form:
* Average daily balance = (216.71 + 268.75 + 284.37 + 116.71 + 260.74) / 31 = 226.81
* Finance charge = 226.81 * 0.0125 * 31 = 7.43
* New balance = 216.71 + 7.43 = 224.14
Step-by-step explanation:
What is the area of the rectangle, in square centimeters?
5 cm
12 cm
O 17
O 34
O 30
O 60
Answer: D
Step-by-step explanation:
Gavin deposited money into his savings account that is compounded annually at an interest rate of 9%. Gavin thought the equivalent quarterly interest rate would be 2.25%. Is Gavin correct? If he is, explain why. If he is not correct, state what the equivalent quarterly interest rate is and show how you got your answer.
I know that he is incorrect...
Gavin is wrong, the equivalent quarterly interest rate is 2.33%.
What is the equivalent quarterly interest rate?The equivalent quarterly interest rate is the interest actual interest rate that an investment earns every quarter when the rate of compounding is accounted for.
The equivalent quarterly interest rate is the effective annual rate divided by the number of compounding.
Equivalent quarterly interest rate = effective interest rate / number of compounding
Effective interest = (1 + APR / m ) ^m - 1
M = number of compounding
(1/009/4)^4 - 1 = 0.0931 = 9.31
equivalent quarterly interest rate = 9.31 / 4 = 2.33%
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Which of the following equations represents the line that is graphed on the coordinate grid below
Answer:
C
Step-by-step explanation:
the factor of x in the equation is the slope, which is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.
going from the left point to the right point x changes by +3 units, and y changes by -1 unit.
so, the slope (and factor of x in the equation) is -1/3.
and the constant term in the equation is the y (axis) intercept of the line.
this is the y value, when x = 0 (intercepting the y axis).
and we see in the graph, when x = 0, the line goes through y = 2.
so, the equation has to be
y = -1/3 × x + 2
therefore, C is the right answer.
=
Divide:
27.68) 2363.872
Answer:
95
Step-by-step explanation
i really have no idea
How many sides does a polygon have if the sum of its interior angle measures is
7380°?
43
if so, use the formula for sum of interior angles in a polygon to solve. 7380 = (n - 2)(180), where n is the number of sides. The number of sides of the polygon is 43.
There are 43 sides in a polygon, if the sum of its interior angle measures is 7380°.
What is Polygon?A Polygon is a closed figure made up of line segments (not curves) in a two-dimensional plane.
We have to find the number of sides in a polygon.
The sum of its interior angle measures is 7380°
The sum of the interior angles of a polygon can be calculated using the formula S = (n - 2) x 180°
where n is the number of sides of the polygon
7380 = (n-2)×180
We have to solve for n
Divide both sides by 180
7380/180=n-2
41=n-2
Add 2 on both sides
43 = n
Hence, there are 43 sides in a polygon, if the sum of its interior angle measures is 7380°.
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PLS HELP I'M STRESSING OUT SOOOOO BAD
After answering the given query, we can state that the given quadrilateral shape is trapezium. Area = 68 units sq.
what is quadrilateral?In terms of mathematics, a quadrilateral is a four-sided polygon with four edges and four corners. Its origins are in the Latin terms quadri and latus. (meaning "side"). A rectangle is a two-dimensional shape with four sides, four vertices, and four corners. Two main types of concave and convex exist. Convex quadrilaterals also have a number of subcategories, such as trapezoids, parallelograms, rectangles, rhombuses, and squares. A rectangle is a two dimensional shape with four straight edges. Quadrilaterals come in many various shapes, such as parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.
the given quadrilateral shape is trapezium.
Area = 1/2*h*(a+b)
Area = 1/2*8*(10+7) = 68 units sq.
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The sum of two numbers is 3, and their quotient is 2. What are the two numbers?
Answer:
The answer is 2 and 1
Step-by-step explanation:
Sum means to add, so you are looking for two numbers that add up to equal 3.
2+1=3
Quotient means to divide, So secondly you would for two numbers that when divided equals 2
2 divided by 1 =2
hope this helps mark brainliest please :)
can you please solve?
The equation of the line is y = (2/3)x + 20/3.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation has:
Slope = 2/3
Passes through the line (-4, 4).
Now,
The equation of the line is y = mx + c.
m = 2/3
Consider (-4, 4) = (x, y)
So,
4 = (2/3)(-4) + c
4 = -8/3 + c
c = 4 + 8/3
c = (12 + 8) / 3
c = 20/3
Now,
y = (2/3)x + 20/3
Thus,
The equation of the line is y = (2/3)x + 20/3.
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Factorize cos²A+3cosA+2
Answer:
(cosA+2)(cosA+1)
Step-by-step explanation:
cos^2A+cosA+2cosA+2
=cos(A)(cosA+1)+2(cosA+1)
=(cosA+2)(cosA+1)
What are a and b when you write √-16 in the form a+bi, when a and b are real number?
A) a=0, b=-4
B) a=0, b=4
C) a=-4, b=0
D) a=4, b=0
On comparing, we get {a} = 0 and {b} = 4.
What is the general form of a complex number?The general form of a complex number is -
z = a + ib
Given is the number as -
√-16
We can write the number √-16 in the form of (a + ib) as follows. We have -
√-16
√(- 1 x 16)
√(i² x 16)
√i² x √16
i√16
0 + i√16
0 + 4i
Therefore, on comparing, we get {a} = 0 and {b} = 4.
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Use the image to determine the type of transformation shown.
Graph of polygon VWXYZ with W at point 2 comma 4. A second polygon V prime W prime X prime Y prime Z prime with W prime at point negative 2 comma 4.
Reflection across the x-axis
Reflection across the y-axis
270° counterclockwise rotation
Horizontal translation
The image is reflected over the y-axis. Then the correct option is B.
Given that:
Point of the polygon VWXYZ, W(2, 4)
Point of the polygon V'W'X'Y'Z', W'(-2, 4)
The translation does not change the shape and size of the geometry. But changes the location.
The reflection does not change the shape and size of the geometry. But flipped the image.
The point W' can be obtained by reflecting the shape across the y-axis.
Thus, the correct option is B.
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The missing diagram is given below.
Circle O has a circumference of 36π cm. Circle O with radius r is shown. What is the length of the radius, r? 6 cm 18 cm 36 cm 72 cm
Answer: 18 cm
Step-by-step explanation:
We know the circumference formula is C=2πr. Since our circumference is given in terms of π, we can easily figure out what the radius is.
36π=2πr [divide both sides by π to cancel out]
36=2r [divide both sides by 2]
r=18 cm
Answer:
18cm
Step-by-step explanation:
because i found it lol
If EF = 2x - 12 FG = 3x - 15. and EG = 23, find the values of x. EF, and FG. The drawing is not to scale. x =3, EF = 8, FG = 15 Ox=10, EF = 32, FG = 45 O x =3, EF = -6, FG = -6 x =10, EF = 8, FG = 15
We have the next information
EF=2x-12
FG=3x-15
EG=23
With the information above we can have the next equation in order to find x
2x-12+3x-15=23
Then we sum similar terms
5x-27=23
then we isolate the x
5x=23+27
5x=50
x=10
then we substitute the value of x for each segment
EF=2x-12=2(10)-12=20-12=8
FG=3x-15=3(10)-15=30-15=15
i don't understand how to do this.. can someone help, please
The possible values for angles 1, 2, and 3 given that lines a and b are parallel lines include the following:
m∠1 = 60°.m∠2 = 120°.m∠3 = 60°.What are parallel lines?In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet or intersect.
Note: Assuming angle 1 is equal to 60 degrees.
In Mathematics and Geometry, the vertical angles theorem states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other:
m∠1 ≅ m∠3 = 60°.
Based on the linear pair postulate, the measure of angle 2 can be determined as follows;
m∠1 + m∠2 = 180°
60° + m∠2 = 180°
m∠2 = 180° - 60°
m∠2 = 120°
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A bakery makes small batches of bread daily. Each day the bakery records the amount of flour used and the number of loaves of bread made. All loaves…
The linear equation of the line would be y = 7/5x. The number of loaves of bread from 85 pounds of flour would be 7/5(85) = 119 loaves.
What is linear equation and its slope?Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.
Slope calculation:
This line's slope would be the proportional constant.
This point (35, 49) is extremely near to the lines that would result in the linear constant 49/35 = 7/5 , the line's equation is y = (7/5)x .
Using 85 pounds of flour, Calculate the loaves of bread that may be made (7/5) * 85 = 119 loaves.
Therefore, the equation is y = (7/5)x that is used to forecast the number of loaves that could be created from 85 pounds of flour, and the result was 119 loaves.
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The complete question is:
A bakery makes small batches of bread daily. Each day, the bakery records the amount of flour used the number of loaves of bread made. All loaves are approximately the same size. The table and graph show the bakery’s data for five days.
write an equation that can be used to model the number of loaves of breast, y that can be made from x pounds flour
Use an equation to predict the number of loaves that can be made from 85 pounds of flour show your work or explain your answer
Travis uses 108 square feet of carpet to cover the entire floor of a rectangular room. The width of the room is 9 feet. What is the length of the room?
A) 9 feet
B) 10 feet
C) 12 feet
D) 13 feet
If Travis uses 108 square feet of carpet to cover the entire floor of a rectangular room. The width of the room is 9 feet then length of the room is 12 feet.
What is Area of Rectangle?Area of rectangle=Length times of width= length*Width.
Given Travis uses 108 square feet of carpet to cover the entire floor of a rectangular room.
It means the area of the room is 108 square feet.
The width of the room is 9 feet.
Let the length of the room is x.
Area of room =Length * Width
108=Length*9
Length=108/9
Length=12
Therefore length of the room is 12 feet, option C is correct.
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The hole for a support needs to be6 feet deep. It is currently 2 feet 9 inches deep. How much deeper must the hole be. Use the conversion factor 12 inches/ 1 foot
The hοle needs tο be 39 inches deeper.
What is the cοnversiοn factοr?A cοnversiοn factοr is a number used tο change οne set οf units tο anοther, by multiplying οr dividing. When a cοnversiοn is necessary, the apprοpriate cοnversiοn factοr tο an equal value must be used. Fοr example, tο cοnvert inches tο feet, the apprοpriate cοnversiοn value is 12 inches equals 1 fοοt.
The current depth οf the hοle is 2 feet 9 inches, which is the same as 2 + 9/12 = 2.75 feet (since there are 12 inches in 1 fοοt).
Tο find οut hοw much deeper the hοle needs tο be, we need tο subtract the current depth frοm the required depth:
6 feet - 2.75 feet = 3.25 feet
Hοwever, we are asked tο express the answer in inches, sο we need tο cοnvert the 3.25 feet tο inches using the given cοnversiοn factοr:
3.25 feet x 12 inches/1 fοοt = 39 inches
Therefοre, the hοle needs tο be 39 inches deeper.
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Vertical angles are two angles that are ___ of each other when two intersect. These angles are
Answer:
The two angles that are directly across the intersection point from each other are called vertical angles. Vertical angles are always congruent.
Step-by-step explanation:
brainliest???
Vertical angles are two angles that are opposite of each other when two intersect. These angles are congruent.
What are vertical angles?Vertical angles are angles opposite to each other where two lines cross.
When two lines intersect, they naturally form two pairs of vertical angles. Vertical angles share the same vertex or corner, and are opposite each other.
These pair of angles are congruent which means they have the same angle measure.
Hence, Vertical angles are two angles that are opposite of each other when two intersect. These angles are congruent.
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please help!!!!!!!!!!!!!!!!!!!!
Answer:
I am not sure but think that the answer is 1/20
I believe you convert the whole number into a mixed fraction.
5 converted into quarters is 20/4. Then you divided 1/4 by 20/4.
1/4 divided by 20/4 is 1/20 or 0.05.
Please, don't refrain to tell me if this is incorrect. Thank you.
For which system of equations is the graph below a solution?
Answer:
the answer for the graph and equations would be option D
The constraints of a problem are listed below. What are the vertices of the feasible region? 2x+3y≥12 5x+2y≥15 x ≥ 0 y ≥ 0
The vertices of the feasible region are (0 , 15/2) , (21/11 , 19/11) and (6 , 0)
Given, the constraints of a problem
2x+3y≥12
5x+2y≥15
x ≥ 0
y ≥ 0
On solving the equations, we get
( 2x + 3y ≥ 12 ) × 2
( 5x + 2y ≥ 15 ) × 3
4x + 6y ≥ 24
15x + 6y ≥ 45
On subtracting, we get
11x ≥ 21
x ≥ 21/11
x = 21/11
On putting the value of x, we get
42/11 + 3y = 12
y = 19/11
Hence, the vertices of the feasible region are (0 , 15/2) , (21/11 , 19/11) and (6 , 0)
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What rigid motion maps the solid-line figure onto the dotted-line figure?
A reflection
B. rotation
C. translation
Answer:
A. Reflection
Step-by-step explanation:
I believe the answer would be reflection
Two points on a line are (5,8) and (6,9), respectively. What is the slope?
A.2
B.-2
C.1/2
D.1
E.-1
Answer:
D. 1
Step-by-step explanation:
Given points are: (5,8) and (6,9)
\(\implies x_1=5,\: x_2=6,\: y_1=8,\: y_2=9\)
Formula for slope of a line is give as:
\(Slope \: of\: line =\frac{y_2-y_1}{x_2-x_1}\)
Plugging in the values of \( x_1,\: x_2\: and\:y_1,\: y_2\) in the above formula, we find:
\(Slope \: of\: line =\frac{9-8}{6-5}\)
\(Slope \: of\: line =\frac{1}{1}\)
\(Slope \: of\: line =1\)
PLEASE HELP FAST !!!!!!!!
Identify the equation that represents a quadratic relationship
Answer:
Step-by-step explanation:
Quadratic means squared equation so
the first one is your answer.
y= 4x²
8.)What is the Measurement of angle 2?
9.) What is the measure of angle 7?
Answer:
angle 2 = 90° {corresponding angles}
angle 7 + angle 5 = 180° {linear pair}
or, angle 7 + 100° = 180° {angle 5 is corresponding to 100°}
so, angle 7 = 80°
If you have a 93% in your math class and then you get an 88% on a test that is worth 80% what will your new grade be?
if you have a 90 th you get in
Fred is standing at a point looking north. He walks on a bearing 056° for 9.8km before stopping. He then walks an additional 3.5 km on a bearing of 112° before stopping to rest. (a) Find out how far he is away from his start point using sine or cosine rule (b) Determine the area of the enclosed shape (c) Draw neat labeled scale diagram of the same
The area of the enclosed shape is about 14.47 km^2.
We are given that;
056° for 9.8km and 3.5 km on a bearing of 112°
Now,
We can see that the enclosed shape is a triangle with sides 9.8 km, 3.5 km, and z km, and angles 56°, 112°, and y°. We can use the fact that the sum of angles in a triangle is 180° to find y:
y = 180° - 56° - 112°
y = 12°
Now we can use the cosine rule to find z:
z^2 = 9.8^2 + 3.5^2 - 2(9.8)(3.5)cos(12°)
z^2 ≈ 101.87
z ≈ 10.09
Therefore, Fred is about 10.09 km away from his start point.
To find the area of the enclosed triangle, we can use the sine rule to find x, the height of the triangle:
sin(56°) = x/9.8
x = 9.8 sin(56°)
x ≈ 8.27
The area of a triangle is given by half the base times the height, so:
A = (1/2)(3.5)(8.27)
A ≈ 14.47
Therefore, by trigonometric ratios the answer will be 14.47 km^2.
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