Answer:
5/24 or 20.8%
Step-by-step explanation:
Probability that the 7th grader is a boy = number of boys/(total kids) = 4/(4+4) = 1/2
Probability that the 8th grader is a boy = 5/(5+7) = 5/12
Probability that both are boys = 1/2*(5/12) = 5/24 or 20.8%
The perpendicular bisectors of AABC intersect at point
G. Find the length of BG.
B
Answer:
[tex]\overline{GB}[/tex] = 9
Step-by-step explanation:
The given parameters are;
The point of intersection of the perpendicular bisectors of the sides [tex]\overline{BC}[/tex], [tex]\overline{BA}[/tex], and [tex]\overline{CA}[/tex] intersect (meet) at point G
Let D represent the point of intersection of the perpendicular bisector from G to [tex]\overline{BC}[/tex], we have for ΔBGD and ΔCGD;
[tex]\overline{GD}[/tex] ≅ [tex]\overline{GD}[/tex] by reflexive property
∠GDB = ∠GDC = 90° given that [tex]\overline{GD}[/tex] is the perpendicular bisector of [tex]\overline{BC}[/tex]
Similarly, [tex]\overline{DB}[/tex] ≅ [tex]\overline{DC}[/tex], also given that [tex]\overline{GD}[/tex] is the perpendicular bisector of [tex]\overline{BC}[/tex]
Therefore;
ΔBGD ≅ ΔCGD by Side-Angle-Side (SAS) rule of congruency
[tex]\overline{GB}[/tex] ≅ [tex]\overline{GC}[/tex] by Congruent Parts of Congruent Triangles are Congruent, (CPCTC)
[tex]\overline{GB}[/tex] = [tex]\overline{GC}[/tex] = 9 by definition of congruency
∴ [tex]\overline{GB}[/tex] = 9.
1. What is the probability of an odd outcome?
2. What is the probability of an outcome less than 6?
Answer:
1. 50%
2.[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
1. The way to approach the probability of rolling an odd number is to start with the total numbers. Therefore, each dice has three even sides and three odd sides. Mathematically - 50% chance of landing on the odd number.
2. You have 'P' which represents probability. "N" which is the given ratio of the number of outcome. (NP) total number of the possible outcome.
P = N / NP
Dice has 6 faces. I.E. 1,2,3,4,5,6
= 6
NP, therefore, is the total number of possible outcome.
Faces less than 6. (1,2,4, and 5)
N = 5
P = N / NP = [tex]\frac{5}{6}[/tex] ; it can't be reduced.
An artist will use isometric transformations of square LMNO to create a symmetrical design with contrasting colors.
Which statement is true?
If LMNO is reflected over the y-axis, the small center square in the image will have a lesser area.
It LMNO is reflected over the x-axis, the small center square in the image will have the same area.
If LMNO is rotated 180° counterclockwise about point O, the small center square in the image will have a lesser area.
If LMNO is rotated 180° counterclockwise about point O, the small center square in the image will have a greater area.
Answer:
The Answer is B: It LMNO is reflected over the x-axis, the small center square in the image will have the same area.
Step-by-step explanation:
The other answers state that the canter square will change size when reflection doesn't do that. Reflection keeps the size and shape of the object. It only changes the positioning.
I hope this helps. Brainliest would be nice to.
Answer:
The Answer is B: It LMNO is reflected over the x-axis, the small center square in the image will have the same area.
Step-by-step explanation:
6x + 21y = 103
-6x + 23y = 51
What are the angle names given in the picture?
Plzzzz anyone answer I post question but no one answers them but plz anyone answer this time it’s a project and it’s due date is today plz helppp
Answer:
tbh there are quite a lot of possibilities
I'll just name the properties but not show which angle applies to it cos that's too time consuming
Step-by-step explanation:
vertically opposite angles
interior / exterior alternate angles
corresponding angles
angles on a straight line are supplementary
first correct answer will get brainliest
Write the equation in point-slope form for the line that passes through the given point and has the given slope. (1, 2), slope 3
Answer:
y-y1 = m(x-x1)
y - 2 = 3(x-1)
y=3x-3+2
y=3x-1
Step-by-step explanation:
first you type down point slope formula
then you plug in the information you have point (1,2) 1 is x1 and 2 is y1 m is 3 because m = slope
then you have to distribute the 3 to the x and the -1 and then isolate y
(how to isolate the y) you must do the opposite of -2 which is +2 whatever you do on one side you have to do to the other
then you combine like terms 3x is alone and -3 +2 equals -1
there is your answer hope that works.
A group of people planned to go to the amusement
park. Adult tickets are $45.00 and child tickets are $20.
There are two adults in the group. If the budget for the
trip is $600, what is the greatest number of children
that can attend.
Answer:the greatest amount of children that can go is 30
Step-by-step explanation:
$20 x 30= $600
in a school, the number of boys is 9 more than thrice a number of girls. if the total role of class is 60. what is the total role of girls .
What is the image of (-3,9) after a reflection over the y = x?
Answer:
(9,-3)
Step-by-step explanation:
WHO LIKES LARRAY
Cause I do
Will mark brainlist! Andrea spent $2 to make 10 prints from a photo both. Later, she spent $6 to make 30 prints. Did she get a better deal the first or second time she purchased prints. How do you know?
Answer:
She got an equally good deal both times
Step-by-step explanation:
[tex]\frac{2}{20}[/tex] can be simplified to make [tex]\frac{1}{5}[/tex]
[tex]\frac{6}{30}[/tex] can be simplified to make [tex]\frac{1}{5}[/tex]
they are the same
Emir and his family ordered a meal that cost $50. Emir paid 8% sales tax and left an 18% tip on $50. What was the total cost?
Answer:
$63.00
Step-by-step explanation:
Your first step is to change the percents into fractions, you do this by moving the decimal point two times to the left.
Your equations look like this:
Tip equation: .18 * 50 = $9.00
Tax equation: .08 * 50 = $4.00
Then you just add them all up to get the total, and you get,
9+4+50 = 63
if triangle GHI is equilateral and JHK is isosceles, what is the measure of JHK
Answer:
The measure of JHK is 25 degrees
Step-by-step explanation:
If GHI is equilateral, it means each of the angles are equal to 60 degrees
Thus;
7x - 31 = 60
7x = 60 + 31
7x = 91
x = 91/7
x = 13 degrees
The measure of JHK IS x + 12
simply insert the value of x here
Angle JHK = 13 + 12
Angle JHK is 25 degrees
Answer: 25
Step-by-step explanation:
help me plzzzz and fast
Answer:
A D
Step-by-step explanation:
Since it is a one time fee of 55$, that will be our y intercept.
That allows A and D and F possible answers.
It says 10$ per puzzle and they spent 1245$
So A and D are answers.
Factor completely: 125 x cubed space plus space 343
Answer:
(5x+7)(25x^2-35x+49)
Step-by-step explanation:
Not really an explanation for factoring, but I'm sure it's right.
Find the area of the circle.
Answer:
Pie*radius*2 you did not give me the radius
Step-by-step explanation:
How does anyone know how to prove parallel lines, especially when there are two pairs of them?
Answer:
Step-by-step explanation:
If two lines are cut by a transversal so that any pair of alternate interior angles are congruent, then the lines are parallel. If two lines are cut by a transversal so that any pair of corresponding angles are congruent, then the lines are parallel. You can use these converses to decide whether two lines are parallel.
I need help on this question
Answer:
5 square feet
Step-by-step explanation:
First, you need to convert the inches into feet
24: 2
30: 2.5
2*2.5= 5
So it is 5square feet
Which shows the following numbers ordered from greatest to least?
0.5, 5/8, 65%, 3/5
A. 3/5, 5/8, 0.5, 65%
B. 0.5, 3/5, 5/8, 65%
C. 65%, 3/5, 0.5, 5/8
D. 65%, 5/8, 3/5, 0.5
I assume it's D, but I'm not fully sure.
Answer:
D You got it right. 65% 5/8 3/5 0.5
CAN YOU HELP ME thank you 10pts
9514 1404 393
Answer:
m∠CAB = 62°
m∠CBG = 114°
Step-by-step explanation:
Given:
the above figure
Find:
What are the measures of angles CAB and CBG
Solution:
The total angle at C is 32°+52° = 84°. We know that "remote interior" angles ECB and EBE have a sum that matches angle CEF.
So, angle CBE = 150° -84° = 66°
Angle CBG is the supplement of this, so is ...
m∠CBG = 180° -66° = 114°
That angle is the total of "remote interior" angles BCA and CAB. So angle CAB is ...
m∠CAB = 114° -52° = 62°
A t-shirt vendor is thinking about changing the number of t-shirts he brings to an event. Which size should he bring more of?
Answer:
medium
Step-by-step explanation:
Mediums were sold the most, and this size had the least amount remaining at the end of the event. Hope this helps
Answer:
medium!! {a p e x :))}
------------------------
Step-by-step explanation:
small: 160/225=0.71*100=71 shirts
medium: 335/375=0.893*100=89 shirts
large: 275/325=0.846153*100=85 shirts
x-large: 125/175=0.714285*100=71 shirts
based on the math above, the medium shirts sell the best, which means that the vendor should bring more of the medium shirts
need help please due soon!
HELP I DONT UNDERSTAND. I WILL GIVE BRAINLIEST (foolish answers will be reported)
Answer:
A
Step-by-step explanation:
Please help me, but the answer choices are
A) 4/3 (11) pi
B) V=2/3 (11) pi
C) V=4/3 (11)
D) V=2/3 (11)
Answer:
B
Step-by-step explanation:
answer is B
and what is ypur grades
simplify!!
6x - 2+7x
Answer:
13x-2
Step-by-step explanation:
Answer:
13x - 2
Step-by-step explanation:
6x - 2 + 7x
13x - 2
Please answer!!! Will mark brainiest!!
Answer:
I think it is D. 9/15 * 14/20
9514 1404 393
Answer:
C. 3/10 * 2/5
Step-by-step explanation:
3 of the 10 horizontal stripes are colored orange, representing a fraction of 3/10.
2 of the 5 vertical stripes are colored purple, representing a fraction of 2/5.
The area of overlap is 6 of the 50 small boxes, so represents the product ...
3/10 * 2/5 = 6/50
State the independent variable and the dependent variable in the linear relationship. Then find the rate of change for the situation. The cost of dinner is $42 for three people and $98 for seven people
Answer:
144
Step-by-step explanation:
The independent variable in the linear relationship is the number of people.
The dependent variable in the linear relationship is the cost of the dinner.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Cost of dinner for 3 people = $42
Cost of dinner for 7 people = $98
The cost of dinner for one person = $14
Now,
The linear function for this relationship.
f(x) = 14x
Where x is the number of people and f(x) is the cost of the dinner.
Now,
The number of people is the independent variable.
The cost of dinner is the dependent variable.
Thus,
Independent variable = Number of people/
Dependent variable = Cost of the dinner.
Learn more about expressions here:
https://brainly.com/question/3118662
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help me its an algebra 2 question 2. John can mow his lawn in 3 hours and his sister, Julie, can mow it in 2 hours. How long will it take them to mow their lawn if they work together?
A. 1 hour 12 minutes
B. 1 hour 15 minutes
C. 1 hour 20 minutes
D. 1 hour 30 minutes
E. 1 hour 35 minutes
Answer:
A
Step-by-step explanation:
John can mow the same lawn in 3 hours.
In 1 hour he can mow 1/3rd of the lawn.
In 1 hour they can together mow (1/2+1/3)=5/6th of the lawn.
Together they can mow the lawn in 6/5 hours=1.2 hours.
I hope this helped, please mark Brainliest, thank you!!
Time taken to mow the lawn together is 6/5 hours i.e., 1.2 hours.
The correct option is (C).
What is a algebra ?Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.
Given:
John can mow his lawn in 3 hours.
Julie can mow same lawn in 2 hours.
In 1 hour = 1/3rd of the lawn.
In 1 hour, together they can mow
= (1/2+1/3)
=5/6th of the lawn.
Hence, time taken to mow the lawn together is 6/5 hours i.e., 1.2 hours.
Learn more about Algebra here:
https://brainly.com/question/953809
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Find the value of X
7/x-10 = 3/6
Answer:
2/3
Step-by-step explanation:
7/x -10 = 3/6
7/x =3/6 +10
7/x = 63/6
42 = 63x
x = 42/63 or 2/3
Answer:
2/3
Step-by-step explanation:
Mr. Gomez needs to rent a moving truck. Company "A" charges $75 plus a $50 a day and Company "B" charges $105 plus $35 a day. Write an equation that can tell after how many days would the price be the same.
Answer: 75+50x= 105+35x , required equation.
Step-by-step explanation:
Let x = Number of days
Given: Company "A" charges $75 plus a $50 a day.
Total charge = 75+50x
Company "B" charges $105 plus $35 a day.
Total charge = 105+35x
When both are same , equation becomes
75+50x= 105+35x
So, Required equation: 75+50x= 105+35x