Answer:
Mike has =$63.94
Anthony = $197.3
Step-by-step explanation:
Step one:
let the certain amount that Mike has be x
so
in all Mike has = (x+25.25)
Anthony has
3(x+25.25)+5.48
we are told that the total amount for both Mike and Anthony is
$261.23
so
(x+25.25)+3(x+25.25)+5.48=261.23
open bracket
x+25.25+3x+75.75+5.48=261.23
collect like terms
x+3x+25.25+75.75+5.48=261.23
4x+106.48=261.23
4x=261.23-106.48
4x=154.75
divide both sides by 4
x=154.75/4
x=38.69
Hence,in all
Mike has = (38.69+25.25)
Mike has =$63.94
Anthony has
=3(38.69+25.25)+5.48
=3(63.94)+5.48
=191.82+5.48
=$197.3
determine the measure of each segment then indicate whether the statements are true or false
Answer:
[tex]d_{AB}\ne d_{JK}[/tex]
[tex]d_{AB}\ne \:d_{GH}[/tex]
[tex]d_{GH}\ne \:d_{JK}[/tex]
Therefore,
Option (A) is false
Option (B) is false
Option (C) is false
Step-by-step explanation:
Considering the graph
Given the vertices of the segment AB
A(-4, 4)B(2, 5)Finding the length of AB using the formula
[tex]d_{AB}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]=\sqrt{\left(2-\left(-4\right)\right)^2+\left(5-4\right)^2}[/tex]
[tex]=\sqrt{\left(2+4\right)^2+\left(5-4\right)^2}[/tex]
[tex]=\sqrt{6^2+1}[/tex]
[tex]=\sqrt{36+1}[/tex]
[tex]=\sqrt{37}[/tex]
[tex]d_{AB}\:=\sqrt{37}[/tex]
[tex]d_{AB}=6.08[/tex] units
Given the vertices of the segment JK
J(2, 2)K(7, 2)From the graph, it is clear that the length of JK = 5 units
so
[tex]d_{JK}=5[/tex] units
Given the vertices of the segment GH
G(-5, -2)H(-2, -2)Finding the length of GH using the formula
[tex]d_{GH}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]=\sqrt{\left(-2-\left(-5\right)\right)^2+\left(-2-\left(-2\right)\right)^2}[/tex]
[tex]=\sqrt{\left(5-2\right)^2+\left(2-2\right)^2}[/tex]
[tex]=\sqrt{3^2+0}[/tex]
[tex]=\sqrt{3^2}[/tex]
[tex]\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]
[tex]d_{GH}\:=\:3[/tex] units
Thus, from the calculations, it is clear that:
[tex]d_{AB}=6.08[/tex]
[tex]d_{JK}=5[/tex]
[tex]d_{GH}\:=\:3[/tex]
Thus,
[tex]d_{AB}\ne d_{JK}[/tex]
[tex]d_{AB}\ne \:d_{GH}[/tex]
[tex]d_{GH}\ne \:d_{JK}[/tex]
Therefore,
Option (A) is false
Option (B) is false
Option (C) is false
find the values of x and y
Answer:
61=x cortical opposite angle
61=y corresponding angle
Answer:
61=x and 61=y
Step-by-step explanation:
I think that bout right
HELP ASAP! WILL MARK BRAINLIEST! PLEASE ANSWER CORRECTLY THIS IS VERY IMPORTANT!!!!
Answer:
You should put "no solution" into the parallel lines box,
you should put "infinite solutions" into the coinciding lines box,
you should put the "(0,0)" and the "(3,-2)" into the intersecting lines box.
Step-by-step explanation:
Susan went to dinner at San Felipe and ordered the ACP for $10.99. If she paid 8% tax, what was her total cost?
Please help!
Answer:
11.88 $ (approximately)
Step-by-step explanation:
10.99 is approximately 11
So
100$ …8$
1$ .… 8/100 $
11$… 8/100×11 $
22/25 $
0.88 $
So she total has to pay
11 + 0.88 $
11.88 $ (approximately)
A proportional relationship between y and x. When x = 3, y=−4 .
What is the constant of proportionality, k?
Enter your answer as a simplified or improper fraction in the box.
k =
Answer:
k = 4/3
Step-by-step explanation:
Formula for k: y/x
If y = 4 and x = 3, then we use the formula (y/x) in order to find the constant of proportionality:
k = 4/3
Please answer this question
Answer:
number: 2
Step-by-step explanation:
Select the correct answer.
If the function y= x - 31 is a linear function, what is the value of a?
OA 1
OB. 2
OC. 3
OD. 4
Answer:
a=1
Step-by-step explanation:
This is assuming that by A you mean y=ax+b. So you have y=x-31, following the y=ax+b equation, A is the coefficient in front of x, which is 1.
what is the rate of change?
The perimeter of a rectangle is 56 cm . The length of the rectangle can be represented by 6x-7 and it’s width by 2x+3.what are the dimensions of this rectangle in centimeters
Answer:
The dimensions of the rectangle are: Length: 17 centimeters, Width: 11 centimeters.
Step-by-step explanation:
From Geometry we remember that the perimeter ([tex]p[/tex]), measured in centimeters, of a rectangle is determined by the following formula:
[tex]p = 2\cdot w +2\cdot l[/tex] (1)
Where:
[tex]w[/tex] - Width of the rectangle, measured in centimeters.
[tex]l[/tex] - Length of the rectangle, measured in centimeters.
If we know that [tex]p = 56\,cm[/tex], [tex]l = 6\cdot x - 7[/tex] and [tex]w = 2\cdot x + 3[/tex], then the value of [tex]x[/tex] is:
[tex]2\cdot (2\cdot x +3)+2\cdot (6\cdot x-7) = 56[/tex]
[tex]4\cdot x +6 +12\cdot x -14 = 56[/tex]
[tex]16\cdot x-8 = 56[/tex]
[tex]16\cdot x = 64[/tex]
[tex]x = 4[/tex]
And the length and the width of the rectangle are, respectively:
[tex]l = 6\cdot (4)-7[/tex]
[tex]l = 17\,cm[/tex]
[tex]w =2\cdot (4)+3[/tex]
[tex]w = 11\,cm[/tex]
The dimensions of the rectangle are: Length: 17 centimeters, Width: 11 centimeters.
Graph the line that passes through the points (-2, - 7) and (5,0) and determine
the equation of the line.
Need help resolving the following quadratic expressions:
a) 4x -4x -15 = 0
b) 2y +7y + 3 +0
Answer:
first answer for (a) is -15=0
second answer for (b) is =9y+3
Step-by-step explanation:
its juss so easy
Work out x when 3x +x +90= 360
What is the first step in the standard construction of the perpendicular bisector of MN¯¯¯¯¯¯¯ ?
A.
Use a straightedge to draw a line perpendicular to line segment MN¯¯¯¯¯¯¯ .
B.
Use a straightedge to draw a line parallel to line MN¯¯¯¯¯¯¯.
C.
Use a compass to draw one arc with point M at the center and intersecting point N.
D.
Use a compass to draw two intersecting arcs with centers at points M and N.
Answer:
C. Use a compass to draw one arc with point M at the center and intersecting point N.
Step-by-step explanation:
I took the test and got it right.
Your welcome :)
Using a compass, draw one arc with point M at the center and point N intersecting it as the first step in the typical construction of the perpendicular bisector of MN. Option C is correct.
What are perpendicular bisectors?Lines that cut through the middle of each side of a triangle and are perpendicular to the specified side are known as the perpendicular bisectors of the triangle.
The standard construction of the perpendicular bisector of MN will be,
Step 1: Sketch a line segment with any appropriate length, XY.
Step 2: Using a compass, draw arcs above and below the line segment, with X serving as the center and XY's width greater than 50%.
Step 3: Carry out Step 2 but use Y as the center. Step 4: Write "P" and "Q" next to the junction points.
Thus, using a compass, draw one arc with point M at the center and point N intersecting it as the first step in the typical construction of the perpendicular bisector of MN. Option C is correct.
Learn more about the perpendicular bisectors here,
https://brainly.com/question/24753075
#SPJ2
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
72 is what percent of 480? Write and solve an equation to solve the problem.
Answer:
'is' over 'of' equals '%' over 100
Step-by-step explanation:
72/480 = x/100
if you cross multiply you get 480x = 7200
x = 15/100 which is 15%
The measure of the exterior angle of the triangle is
Answer:
Step-by-step explanation:
Hi! So far, in the question provided, you have two of the three angles that you need to find x. To find x, you need all three interior angles of the triangle. When you look at the image, you can see that (7x-16) is a complementary angle to the interior angle we need. To find the final angle of the triangle, you are going to take 180 - (7x-16). This is going to give you the interior angle to be (196-7x).
Now that we know all three angles for the inside of the triangle, we can find the value of x. We know that all of the angles inside of a triangle add up to 180 degrees. This is going to help you find x:
180 = (x+8) + (4x) + (196-7x)
180 = x + 8 + 4x + 196 - 7x
180 = -2x + 204
-24 = -2x
12 = x
Now that we have have the value of x, we can solve for the exterior angle.
(7(12) - 16) = 68 degrees
Hope this helps!
Answer:
68°
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that's supplementary to the third interior angle
4x + x + 8 = 7x - 16 add like terms
5x + 8 = 7x - 16 export like terms to the same side
8 + 16 = 7x - 5x
24 = 2x divide both sides by 2
12 = x
The measure of exterior angle 7x - 16 ➡ 7 × 12 - 16 = 68°
An item sells for $30 and is on sale for 15% off and the sales tax is 8.2%. What is the final cost to the nearest cent? (Calculate the discounted cost first and then find the tax on the discounted cost.)
Answer:
$27.59
Step-by-step explanation:
You multiply 30 dollars by 0.85 (1-0.15, with the 0.15 being for the 15 percent off). Which gets you to $25.50, and you then multiply it by 1.082 (the 1.082 being the tax, and the .082 part equating to the 8.2% tax percentage).
PLEASE HELP ASAP!!
j^4-5j^3+10j
Answer:
B) j(j^3-5j^2+10)
Step-by-step explanation:
Given: [tex]j^4-5j^3+10j[/tex]
Factor out j: [tex]j(j^3-5j^2+10)[/tex]
We cannot factor out anymore, so the final answer is B) j(j^3-5j^2+10)
please answer if u know
Answer:
9 dollars
Step-by-step explanation:
let x be per mile
the equation for solving this would be 0.5x + 3(flat fee)=amount you have to pay
The x is 12 since you have to go 12 miles
0.5(12)+3=amount you have to pay
6+3=amount you have to pay
$9=mount you have to pay
If y=32 when x=8, find y when x=30.
Can someone help me with sub multiple angles trigonometry pls
Answer:
These photos have the formulas of sub multiple angle trigonometry.
Hope it helps:)
Find the missing side length
Round to the nearest tenth
The answer is 4.8
Please show all steps thank u
Answer:
x ≈ 4.8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cos∅ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Identify Variables
Angle measure = 58°
Adjacent side of angle = x
Hypotenuse = 9
Step 2: Solve for x
Substitute [cosine]: cos58° = x/9Isolate x: 9cos58° = xEvaluate: 4.76927 = xRewrite: x = 4.76927Round: x ≈ 4.8Answer:
if you have the answer then wha.
Step-by-step explanation:
are the 2 triangles congruent?
Answer:
Yes
Step-by-step explanation:
They are just in the opposite side
what is the variable to 3x-5
Answer:
3 (2x + 3) + 11 = –2 (2x - 6) - 18
Answer:
-15
Step-by-step explanation:
this is because when a negative multiplies with a positive ....it gives an answer of negative
which graph represents a function? please help
Answer:
C
Step-by-step explanation:
Answer:D
Step-by-step explanation: a function has only one output value for each input value
Graph the line that has a slope of -9 and includes the point (1, -1).
Answer:
Step-by-step explanation: you didnt put a Graph in your question
x
1
2
3
4
5
y
13
16.9
21.97
28.56
37.13
Graph the function shown by the table. Is the function linear or nonlinear?
Yes
NO
PLEASE HELP ME!!!!!!!!!!!!!!$!!!!!!!!
Can somebody help me with this please?
You put this very long ago do you still need help????? :|
Answer:
im sorry i cant
Step-by-step explanation:
Use the distributive property to write an equivalent expression. 2.5 ( w + 3 )
Answer:
2.5w + 7.5
Step-by-step explanation:
2.5(w+3)
2.5w+7.5
Over a one week period in the summer, the price of a gallon of gas increased from $2.35 to $2.82. By what percent did the price of gas increase over that week?
The percentage increase from $2.35 to $2.82 over the week in summer is 20%
Given Data
Initial Value = $2.35
Final Value = $2.82
We know that the expression for Percentage increase is given as
% Increase = Increment/Initial Value *100
% Increase = 2.82-2.35/2/35 * 100
% Increase =0.47/2/2.35 * 100
% Increase =0.2* 100
% Increase = 20%
Hence the percentage increase is 20%
Learn more about percent increase here:
https://brainly.com/question/11360390
You are renting a cabin that changes you a processing fee along with a daily rate. The total charge for this cabin is represented by the equation y=4x+35,where y represents the total cot and x represents the length of stay in days. How much would you be charged for 20 days at this cabin
Answer:
y= 115
Step-by-step explanation:
Step one:'
given data
The total charge for this cabin is represented by the equation
[tex]y=4x+35[/tex]
we are told that y represents the total cost and x represents the length of stay in days
Required:
the value of y when x= 20
Step two:
substitute
[tex]y=4(20)+35\\\\y=80+35\\\\y=115[/tex]
