The cost for the whole group using distributive property to expand the expression and solve the problem is $28
How to write and solve equation?Cost of getting in per person = $5Cost per ride per person = $2Number of people including Kate = 4Total cost of the group = Number of people including Kate(Cost of getting in per person) + (Number of people including Kate(Cost per ride per person)
= 4(5) + 4(2)
= 20 + 8
= $28
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Given that ZBCD and ZBCA form a straight angle, if ZABC measures 55
degrees and ZBCD measures 60 degrees, then the measure of ZBAC is
degrees.
Answer:
Angle BAC is 5 degrees.
Step-by-step explanation:
It's easiest if you just annotate you diagram as you find each angle. You can do this in lots of different ways, but this is how i got there.
So to find BAC, you need to find ABC and BCA. After you find these two, its just a matter of subtraction, which is simple.
We already know ABC = 55 degrees.
So now we have to find BCA:
1) They told us that BCD is 60 degrees and that its sitting on a straight line
2) From this we can find that BCA is 120 degrees, because a straight line is 180 degrees. 180 -60 = 120 degrees.
Now that we have both ABC and BCA, we can find BAC:
1) The angles of all triangles add up to 180 (idk why, its just how it is)
2) So, if we do 180 - BCA - ABC, we should get BAC
3) So, 180 - 55 - 120 = 5 degrees
Sorry if the explanation was really long, its a bit weird to explain it all in words. Hope it helped : )
Under which angle conditions could a triangle exist? Check all that apply.
3 acute angles
2 acute angles, 1 right angle
1 acute angle, 1 right angle, 1 obtuse angle
1 acute angle, 2 obtuse angles
2 acute angles, 1 obtuse angle
O
Answer:
3 acute angles.
2 acute angles, 1 right angle.
2 acute angles, 1 obtuse angle.
Step-by-step explanation:
The 3 angles in a triangles add up to 180 degrees.
Acute angles are < 90 degrees.
A right angle = 90 degrees,
Obtuse angles are > 90 degrees.
Answer:
3 acute angles
2 acute angles, 1 right angle
2 acute angles, 1 obtuse angle
Or 1, 2 , 5
Step-by-step explanation:
When solving the equation 3x = 9, Daniel used a property of algebra and transformed the equation into x=3. Which property did he use?
A) Multiplication
B) Division
C) Addition
D) Subtraction
Answer:
B)Division
Step-by-step explanation:
3x=9
divide both side by 3 gives you
x=3
A line parallel to the___ has no defined slope, and a line parallel to the_____ has slope of zero.
1) X-axis. 2) x-axis
Y-axis
y-axis.
Answer:
A line parallel to the y-axis has no defined slope, and a line parallel to the x-axis has slope of zero.
Step-by-step explanation:
Lines parallel to the y-axis are vertical and are undefined as they don't technically have a gradient.
lines parallel to the x-axis are horizontal and have a gradient of 0 since there is no positive or negative angle, it's just straight.
Hope this helped :)
A parallelogram has an area of 120 cm2. The base is 15 cm.
What is the height?
The value of height is 8 cm
Look at the attached picture
Hope it will help you
Answer:
formula is base x height = area
if we undo the multiplication and make the equation area / base = height we can find the height
120/15=8
8 is the height
hope this helps
Step-by-step explanation:
John takes out a personal loan for $5.000 at an annual interest rate 7.5% compounded monthly. He plans to pay off the loan (including interest) in 3 years.
At the end of the 3 years, what is the actual amount John would have paid back?
Use the
Round your answer to the nearest cent.
A = P(1+r/n)^nt )
Please help
Answer:
18,500
Step-by-step explanation:
Find the distance between the pair of points . (-3,-6) and (-3, 1)
Answer:
7
Step-by-step explanation:
add 6 to -6 to get 0
than add 1 to 0 to get 1
6+1=7
What is the solution to the system of linear equations graphed below?
On a coordinate plane, 2 lines intersect at (0.5, 4).
(0, 4)
(4, one-half)
(one-half, 4)
(0, 3)
Answer:
The answer is (1/2,4)
Step-by-step explanation:
I just did it in Engenuity
Hope it helps
Answer:
(1/2,4)
Step-by-step explanation:
took the quiz
Write all of the complex numbers that are graphed
in the complex plane shown.
А
A:
B:
+
D
c:
+
14
4
D:
+
B
DONE
С
Answer:
A : (-2) + (3)i
B : (-1) + (1)i
C : (3) + (-4)i
D : (4) + (1)i
Step-by-step explanation:
In the graph attached,
Real part of a complex number is plotted on x-axis and imaginary part of the complex number on y-axis.
Therefore, in any ordered pair (x, y)
x → Real part of the complex number
y → Imaginary part of the complex number
Complex numbers are,
A : (-2) + (3)i
B : (-1) + (1)i
C : (3) + (-4)i
D : (4) + (1)i
Answer:
A : (-2) + (3)i
B : (-1) + (-1)i
C : (3) + (-4)i
D : (4) + (1)i
Step-by-step explanation:
Just took it. Edg 2020. Hope this helps :)
the cones below are similar, although not drawn to scale
what is the length of the radius of the larger cone?
A 5 ft
B 6 ft
C 7 ft
D 8 ft
Answer:
b
Step-by-step explanation:
The sum of two rational numbers is -2. If one of the numbers is -14/5, find the other.
Answer:
[tex] \frac{4}{5} [/tex]
Step-by-step explanation:
[tex] \frac{ - 14}{5} + x = - 2 \\ x = - 2 + \frac{14}{5 } \\ x = \frac{ - 10 + 14}{5} \\ \: x = \frac{4}{5} \\ therefore \: the \: other \: number \: is \: \frac{4}{5} [/tex]
Answer:
4/5
Step-by-step explanation:
x+(-14/5)= -2
x= 14/5 - 2
x= (14-10)/5
x= 4/5
Solve the equation below for x.
4(2x +8) - 3x = 47
1.
X= 13
2.
X= 2
3.
X= 3
4.
X= 7.8
Answer:
x=3
Step-by-step explanation:
4(2x +8) - 3x = 47
Distribute 4
8x + 32 -3x = 47
Combine like terms
5x + 32 = 47
Subtract 32
5x = 15
x= 3
NEED ASAP WILL MARK BRAINLIEST !!
Answer:
the second answer
Step-by-step explanation:
V of a half cup
V = ½ πr² h
V = ½ 3.14 2² . 8
V = 50,24 in³ ≈ 50,3
11. Determine the type and number of solutions of x2 - 8x + 16 = 0.
O two imaginary solutions
one real solution and one imaginary solution
O one real solution
O two real solutions
Answer:
one real solution
Step-by-step explanation:
the equation simplified is (x+4)²
Option 3 (two real solutions) is the right answer.
What is a Quadratic equation and its solution?A quadratic equation in the variable x is an polynomial of degree 2 equation of the form ax²+bx+c = 0 where a, b, c are real numbers a≠0. For example, 2x²-3x+1 =0. And we say that x=α is an solution of a quadratic equation if α satisfies the equation and since its degree is two it will always have 2 solutions which may be real or Imaginary.
Given equation here is : x² -8x+16= 0
x²-2.4x+4²=0
(x-4)²=0
x=4,4
Hence, the quadratic equation has two equal and real solutions.
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What are the zeros of this function?
A. X = 0 and x = 6
B. x = 0 and x = -9
C. x = 0 and x = -6
O D. x = 3 and x = -9
Answer:
A. X = 0 and x = 6
Step-by-step explanation:
The zeros of the function are where the graph crosses the x axis
It crosses at 0 and 6
x=0 and x = 6
Answer:
A
Step-by-step explanation:
Ap3x (thx for points :)
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 48 centimeters cubed. A sphere with height h and radius r. A cylinder with height h and radius r. What is the volume of the sphere? Centimeters cubed
Answer:
the answer is 32
Step-by-step explanation:
Answer:
I think the answer is 32 cm
(I'm so sorry if it's wrong)
Hope this Helps!
You have bumped into the car in front of you. You are injured in the collision, resulting in $2,500 in medical expenses. Your policy provides only liability insurance, with a limit of $25,000, and your deductible is $500. How much will your insurance company pay toward these medical expenses?
a)$0
b)$500
c)$2,000
d)$2,500
Answer:
c
Step-by-step explanation:
2,500-500=2000
10. What is the formula used to
find the vertex of the parabola.
| (2 points)
Answer:
y=ax2+bx+c
Step-by-step explanation:
In this equation, the vertex of the parabola is the point (h,k) . You can see how this relates to the standard equation by multiplying it out: y=a(x−h)(x−h)+ky=ax2−2ahx+ah2+k .
Part A
Tom, wants to buy a dictionary that costs $19.50
, a dinosaur book that costs $8.50
, and a children's cookbook that costs $5.50
.
Find the total cost of the dictionary, the dinosaur book, and the cookbook.
Answer: $
Part B
If he has saved $9
from his allowance, how much more money does Tom need to buy all three books?
Answer:
part a: $33.50
part b: $24.50
Step-by-step explanation:
add up all of the costs of the books so 19.50 + 8.50 + 5.50 = $33.50
next just subtract 9 dollars from 33.50 so 33.50 - 9 = $24.5 more he needs.
Find the surface area of the triangular prism. The base of the
prism is an isosceles triangle.
41
40 cm
The surface area is
cm2
Step-by-step explanation: first you just do the triangle bhx1/2 then the three rectangles bh
How do I factor the polynomial -22d²+ 29d-9?
Answer: (11d-9) x (-2d + 1)
Step-by-step explanation:
22d^2 - 18d + 11d-9
-2d(11d-9) + 11d -9
The coordinates of the endpoints of the diameter of a circle are (3,7) and (-5,3). Find the coordinates of the center of the circle
Answer:
[tex](-1,5)[/tex]
Step-by-step explanation:
The definition of the diameter indicates it passes through the center of the circle to be called diameter. Therefore finding the midpoint of the line that is the diameter we will find the center of the circle.
To find the coordinates of this midpoint we must make an average of the 'x' values of the two given points, and also an average of the two given 'y' values.
the coordines of this midpoint will be [tex](x_{m},y_{m})[/tex] where [tex]x_{m}[/tex] is the average of the 'x' values, and [tex]y_{m}[/tex] is the average of the 'y' values
The points we have are:
[tex](3,7)[/tex]
where I will call the coordinates: [tex]x_{1}=3[/tex] and [tex]y_{1}=7[/tex]
[tex](-5,3)[/tex]
where I will call the coordinates: [tex]x_{2}=-5[/tex] and [tex]y_{2}=3[/tex]
the average of the 'x' values is:
[tex]x_{m}=\frac{x_{1}+x_{2}}{2}[/tex]
substituting the values:
[tex]x_{m}=\frac{3+(-5)}{2}\\ \\x_{m}=\frac{3-5}{2}\\ \\x_{m}=\frac{-2}{2}\\ \\x_{m}=-1[/tex]
the average of the 'y' values is:
[tex]y_{m}=\frac{y_{1}+y_{2}}{2}\\[/tex]
substituting the values:
[tex]y_{m}=\frac{7+3}{2}\\ \\y_{m}=\frac{10}{2}\\ \\y_{m}=5[/tex]
and the center of the circle (the midpoint of the diameter) is at:
[tex](x_{m},y_{m})[/tex]
which is
[tex](-1,5)[/tex]
Which quadrants does the line representing the equation y = 6x pass through?
Check all that apply.
* ANSWER PLEASE *
We have a circle with center A with an arc CB with a measure of 180°. What is the measure of angle D?
Answer:
90
Step-by-step explanation:
You can look at it from 2 perspectives:
1.The angle that is in front of a diameter is always 90°
OR
2. Central angle is twice any inscribed angle subtended by the same arc
Answer:
90 degrees
Step-by-step explanation:
2.Find the next number in the sequence: 1,−1,3,−5,11,−23,...
What is the inverse of the function f(x)= 6x-5/x+9
Answer:
Inverse of -5-9x/x-6
Step-by-step explanation:
Steps:
1: Interchange the variables x and y.
x=6y-5/y+9
2: Solve x = 6y-5/y+9 for y
3: Multiply both sides by y+9
4: Simplify and Expand
5: Subtract 9x from both sides.
6: Simplify and Subtract y from both sides then Simplify again
7: Divide both sides by x-6
Answer: Inverse of -5-9x/x-6
Hope this helps.
Answer:
To find the inverse, interchange the variables and solve for
y .
f ^− 1 ( x ) = − 9 − x − √ (x ^2 − 18 x + 201 )) /(12 ) , (− 9 − x + √ (x ^2 − 18 x + 201)) / (12 )
Step-by-step explanation:
In a survey of students, 60% were in high school and 40% were in middle school. Of the high school students, 30% had visited a foreign country
If a surveyed student is selected at random, what is the probability that the student is in high school and has visited a foreign country?
A. 12%
B. 18%
C. 24%
D. 30%
Answer:
18%
Step-by-step explanation:
60 percent are in high school, of those 60 percent, 30 percent visited a foreign country
P ( high school and foreign country) = 60% * 30 %
=.60*.30
.18
18%
A piecewise function f(x) is defined as shown. f(x) = StartLayout enlarged left-brace 1st Row 1st column negative five-fourths x + 90, 2nd column 0 less-than-or-equal-to x less-than 40 2nd row 1st column negative three-eighths x + 75, 2nd column 40 less-than-or-equal-to x less-than-or-equal-to 200 EndLayout Which table could be used to graph a piece of the function? A 2-column table has 3 rows. The first column is labeled x with entries 0, 16, 40. The second column is labeled y with entries 90, 85, 75. A 2-column table has 3 rows. The first column is labeled x with entries 0, 40, 200. The second column is labeled y with entries 90, 40, 0. A 2-column table has 3 rows. The first column is labeled x with entries 40, 120, 200. The second column is labeled y with entries 75, 30, 0. A 2-column table has 3 rows. The first column is labeled x with entries 40, 160, 200. The second column is labeled y with entries 60, 15, 0.
Answer:
A 2-column table has 3 rows. The first column is labeled x with entries 40, 160, 200. The second column is labeled y with entries 60, 15, 0.
Step-by-step explanation:
All of the tables have x=40 in the first column. The function value there is ...
f(x) = (-3/8)(40) +75 = -15 +75 = 60
Only the last table has y = 60 for x = 40.
__
A check of the other points in that table shows they are all on the same (second) piece of the graph, as required by the problem statement. Those points are marked with a purple x in the attachment.
Answer:
it's D ON EDG his answer corret but not a it's d
Step-by-step exit planation:
Silver has a density of 0.04 lb/cm^3. A standard silver bar has a volume of 642
cm^3. To the nearest pound, how much does 1 standard silver bar weigh?
Answer:
The weight of the mentioned silver bar is:
25.68 LbStep-by-step explanation:
Remember that the formula of density is:
Density = mass / volume.From this formula, you can clear the mass (because this is the valor you need to solve the exercise), so you will have:
Mass = density * volumeWith this last formula, you must replace the values given in the exercise:
Mass = density * volume Mass = 0.04 lb/cm^3 * 642 cm^3 Mass = 25.68 LbYou can check this value using the original formula of density and see if the density has the same valor of the exercise:
Density = mass / volume. Density = 25.68 Lb / 642 cm^3 Density = 0.04 Lb / cm^3HELP!!!!!!!!!!!!!!!!!!!!!!!
Answer:
negative i took the test and got it right
Step-by-step explantrust me
