Answer:
part 1: $532.95. Part 2: 16
Step-by-step explanation:
Part 1: 15 * 15.35 = 230.25
30 * 10.09 = 302.70
230.25 + 302.70 = $532.95
Part 2: R = letters in the word desk
there are 4 letters in the word Desk
[tex]2^{R}[/tex] = [tex]2^{4}[/tex] = 2 * 2 * 2 * 2 = 4 * 4 = 16 subsets
consider the system of equations given below
Y=2/3x+2
Y=5/2x+7/2
which of the following is true about the solution set of the system?
A. The solution is a point on the x-axis.
B. The solution is all the points on the line y=2/3x+3.
C. The solution is a point in the coordinate plane.
D. The solution is the region in the coordinate plane above y=5/2x+7/2.
Answer:
its A or C
Step-by-step explanation:
4,-7 -1,5 what’s the midpoint
Answer:
(4, 5) Midpoint
Step-by-step explanation:
Need- What is a midpoint of the line segment?
Solution:
Midpoint: x,m , y,m = ([tex]\frac{x {a +x b } }{2}[/tex]) ,( [tex]\frac{y, a + y b}{2}[/tex])=( [tex]\frac{0 +8 }{2}[/tex] ) , ( [tex]\frac{2 + 8 }{2}[/tex]) = [tex]\frac{8}{2} , \frac{10}{2}[/tex] Midpoint segment - ([tex]x_{m} , y_{m}[/tex]) = (4,5)An exam has 20 exercises.For every exercise solved correctly you get 8 points and for every exercise solves wrong are taken off 5 points.Ben had 13 points.How many exercises did he solve?
Answer:
13 exercises
Step-by-step explanation:
The number of exercises in the exam = 20
The points received for questions solved correctly = 8 points
The points taken off for exercises solved wrong = 5 points
The number of points Ben has = 13 points
Let 'c' represent the number of exercises he solved correctly and let 'w' represent the number of exercises he solved wrong, we have;
0 < c + w ≤ 20...(1)
8·c - 5·w = 13...(2)
Given that 5·w has either a 0 or 5 as the unit digit, and x3 = x8 - 5, such as 13 = 18 - 5, we have that the last digit of 8·c is 8, and the last digit of 5·w is 5
The products of 8 with '8' as the unit are, 8 × 6, 8 × 11, and 8 × 16
Therefore, when c = 6, and w = 7, we get;
8 × 6 - 5 × 7 = 13
The number of exercises Ben solved, c + w = 6 + 7 = 13 < 20
When c = 11, we get;
8 × 11 - 5 × 15 = 13
11 + 15 = 26 > 20
The number of exercises Ben solved = 13 exercises
If α and β are the zeroes of the polynomial ax^2 + bx + c, find the value of α^2 + β^2
Answer:
Step-by-step explanation:
α + β = -b/a
αβ = c/a
α² + β² = (α + β)² - 2αβ
[tex]= (\frac{-b}{a})^{2}-2\frac{c}{a}\\\\= \frac{b^{2}}{a^{2}}-\frac{2c}{a}\\\\=\frac{b^{2}}{a^{2}}-\frac{2c*a}{a*a}\\\\=\frac{b^{2}-2ca}{a^{2}}[/tex]
AC and DG are parallel. Find the value of x, show CLEARLY how you got your answers with reasons
Answer:
x = 79°
Step-by-step explanation:
∠ABE = ∠BEF = 41° [Alternate angle ]
Now sum of angles of a triangle = 180°
Therefore,
∠EBF + ∠BEF + ∠BFE = 180°
60° + 41° + x = 180°
x = 180° - 60° - 41°
x = 79°
Question 7 of 10 Classify the following triangle. Check all that apply. 6 D A. Scalene D B. Right C. Obtuse D. Isosceles E. Acute F. Equilateral
Answer:
Right angle triangle
Acute
Step-by-step explanation
1 right angle/90 degrees
2 acute angles
Help pleaseeeeeeeeeeeeeeeeeeeeee
Answer: x= -7/8
Step-by-step explanation:
Hope it helps you
14. A polygon ABCD is inscribed in a circle. Find angle ABC
15. A polygon GHIJ is inscribed in a circle if GHI=76 and HIJ=66 what is IJG
Answer:
m<ABC = 100degrees
m<IJG = 104degrees
Step-by-step explanation:
14. The sum of the opposite angle of the quadrilateral is 180degrees. Hence;
m<ADC + m<ABC = 180
3y+8+4y+4 = 180
7y + 12 = 180
7y = 180 - 12
7y = 168
y = 168/7
y = 24
Get <ABC
m<ABC = 4y+4
m<ABC = 4(24) + 4
m<ABC = 96 + 4
m<ABC = 100degrees
15. Similarly for this;
GHI + IJG = 180
76 + m<IJG = 180
m<IJG = 180 - 76
m<IJG = 104degrees
please helpppp its due nowwwww
Answer:
Step-by-step explanation:
instead of (2x - 60 ) there should be (60 - 2x) because since they are parallel lines corresponding sides must be equal . It is contradictory because the size of the corresponding angles is different.
Note : Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal).
Which is equivalent to 80
?
80
4
V80*
O 809
80
o
what is equivalent to 80 1/4?
April is randomly choosing five CDs to bring in her car from the following: 6 pop CDs, 8 rock CDs, and 10 R&B CDs.
What is the complement of April choosing five pop CDs?
choosing five CDs where none of them are pop
choosing five CDs where not all of them are pop
choosing five CDs where at least one of them is pop
choosing five CDs where all of them are pop
Answer:
Choosing five CDs where not all of them are pop.
Step-by-step explanation:
Answer:
B) choosing five CDs where not all of them are pop
Step-by-step explanation:
E2020
Simplify......................
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \frac{( {a}^{2} + {b}^{2} )}{a} }}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \frac{ {a}^{4} - {b}^{4} }{ {a}^{3} - a {b}^{2} } [/tex]
[tex] \\= \frac{ ({ {a}^{2} })^{2} - { ({b}^{2} })^{2} }{a( {a}^{2} - {b}^{2} )} [/tex]
[ ∵ (a²)² = [tex]{a}^{4}[/tex] ]
[tex] \\= \frac{( {a}^{2} + {b}^{2} )( {a}^{2} - {b}^{2}) }{a( {a}^{2} - {b}^{2}) } [/tex]
[tex] \\= \frac{( {a}^{2} + {b}^{2} )}{a} [/tex]
Note:[tex] {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{ヅ}}}}}[/tex]
A 3 by 3cm grid shows nine 1 by 1 cm squares and uses 24cm of wire.
What length would the wire be for a similar 20 by 20cm sqaure
Answer:
840 cm
Step-by-step explanation:
Given that in the question we have, : 9, 1 cm × 1 cm squares setting a 3 × 3 grid.
Therefore wire required in 3 x 3 grid is
3(3+1) + 3(3+1)
= 3 × 4 + 3 × 4
= 24 I'm
Similarly, the length of the wire required in 20 by 20 grid will be
=> 20(20+1) + 20(20+1)
=> 20 × 21 + 20 × 21
=> 420 + 420
= 840cm
35 into binary number
Answer:
35 in binary is 100011.
Step-by-step explanation:
To find decimal to binary equivalent, divide 35 successively by 2 until the quotient becomes 0.
please help me i have geo finals
Answer:
x = 8
Step-by-step explanation:
Given 2 intersecting chords.
Then the product of the parts of one chord is equal to the product of the parts of the other chord, that is
14(2x + 2) = 12(2x + 5) ← distribute parenthesis on both sides
28x + 28 = 24x + 60 ( subtract 24x from both sides )
4x + 28 = 60 ( subtract 28 from both sides )
4x = 32 ( divide both sides by 4 )
x = 8
Which of the following is a geometric sequence?
O A. -2, 6, 14, 22, ...
O B. 6, 13, 19, 24, ...
O c. 11, 16, 21, 26, ...
O D. -3,3, -3, 3, ...
Answer:
O B. 6, 13, 19, 24,
Step-by-step explanation:
because this is the correct answer
Which radical expression, when simplified, equals -8?
Answer:
Where are the radical expressions?
Step-by-step explanation:
Please help me with this question.
Answer:
[tex]80\text{ square miles}[/tex]
Step-by-step explanation:
Since the map is using a scale of 1 inch : 5 miles, to find the scale of square inches to square miles, square the ratio:
[tex]\implies 1\text{ square inch}:25\text{ square miles}[/tex]
Since the section of land has an area of 3.2 square inches, the actual area of the section of land must be [tex]3.2\cdot 25=\boxed{80\text{ square miles}}[/tex]
Which table shows a proportional relationship between a and b?
A.
a b
3 9
4 12
5 20
B.
a b
20 25
24 30
32 40
C.
a b
4 12
5 15
6 24
D.
a b
3 4
6 9
12 16
EG is the angle bisector of
Answer:
the remaining angle will be 32
cz angle bisector cuts an angle in two equal parts hooe it may help u
i cant do this lollllllll
Answer:
12
Step-by-step explanation:
first, do the question in parenthesis
then do the questions in the exponent
then do the question with division
then do addition part
(7-4)^2 = (3)^2
9/3 = 3
9+3 = 12
A bus completed a journey of 98 km in 140 minutes. Calculate the average speed, in kilometres per hour, for this journey.
Answer:
hope you like it
Step-by-step explanation:
at first change minutes to hour and calculate by dividing 98 to specific hour
The seventh term of an arithmetic series is 29 and the sum of the first seventeen terms is 629. Find the sum of the first 100 terms of the series.
Step-by-step explanation:
everything can be found in the picture
I need help!!! Parallel lines p and q are cut by two non parallel lines m and n as shown in the figure the value of x is degrees and the value of y is degrees
Answer:
x = 78° , y = 115°
Step-by-step explanation:
The angle adjacent to x on the left side is corresponding to 102° , then
x = 180° - 102° = 78°
----------------------------------------
y and 115° are corresponding angles and congruent, then
y = 115°
what is 11010^2 - 1101^2
Answer:
-120,007,899
Step-by-step explanation:
Given :
[tex]11010^{2} -1101^{2}[/tex]
It can be solved as :
[tex]11010^{2} -1101^{2}[/tex]
121,220,100-1212201
-120,007,899
Therefore, answer will be -120,007,899
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{11,010^2 - 1,101^2}[/tex]
[tex]\mathsf{11,010^2}[/tex]
[tex]\mathsf{= 11,010 \times 11,010}[/tex]
[tex]\mathsf{= \boxed{\bf 121,220,100}}[/tex]
[tex]\mathsf{\bold{121,220,100} - 1,101^2}[/tex]
[tex]\mathsf{1,101^2}[/tex]
[tex]\mathsf{= 1,101 \times 1,101}[/tex]
[tex]\mathsf{= \boxed{\bf 1,212,201}}[/tex]
[tex]\mathsf{121,220,100 - \bf 1,212,201}[/tex]
[tex]\mathsf{= \boxed{\underline{\bf 120,007,899}}}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: \underline{\bf 120,007,899}}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
please complete the table.
Answer:
my answer in this picture.......
A bag contains 26 letters and 10 numerals. Robin draws two cards from the
bag. What is the probability that she draws 2 numerals?
Answer:
10C2 / (36C2)
Step-by-step explanation:
a bicycle was sold for $285 at a discount of 5% calculate the cost price of that bicycle
Answer:
Cost price = $300
Step-by-step explanation:
Let the cost price be = x
Discount % = 5%
Price after discount = $285
Find Cost price .
[tex]Price \ after \ discount = x - (5 \% \ of \ x)\\\\285 = x - \frac{5}{100}x\\\\285 = \frac{100 - 5 }{100} x\\\\95x = 285 \times 100\\\\x = \frac{28500}{95} = \$ 300[/tex]
what is the value of the expression below?
Answer:
C
Step-by-step explanation:
Using the rule of exponents/ radicals
[tex]a^{\frac{1}{2} }[/tex] = [tex]\sqrt{a}[/tex] , then
[tex]121^{\frac{1}{2} }[/tex] = [tex]\sqrt{121}[/tex] = 11 → C
Help me plssss? Thanks
Answer:
B
Step-by-step explanation: