Item 8
POSSIBLE POINTS: 11.11
In math class, the teacher asked students to randomly select a card and roll a number cube. There were 6 yellow cards, 4 blue, 8 red and 7 green cards. The number cube was numbered 1 through 6. What was the probability of choosing a green card and rolling an odd number?
14%
24%
48%
36%
Answer:
24% is the answer
Step-by-step explanation:
y = 6x - 10
y = 2x + 2
Answer:
1. x= 5/3 or 1.6 and y= -10
2. x= -1 and y= 2
Step-by-step explanation:
1. y= 6x - 10, 0= 6x - 10, -6x= -10, x= 5/3
2. y= 2x + 2, 0= 2x + 2, -2x= 2, x= -1
POSSIBLE POINTS: 28.57
The flight path of a volleyball is modeled by the equation h (x) = -0.034x2 + 1.3z +5.5, where h(x) is the height of the volleyball and x is the
horizontal distance measured in feet from where the ball was hit. Determine the maximum height of the volleyball
O 19.118 feet
O 18.344 feet
O 17 926 feet
O 16.982 feet
O 15.004 feet
O 14.621 feet
O 13.955 feet
<
1 2 3
4
5
6
ET Review
GEOMETRY HELP PLEASEEEEEEEEEE
Lesson 5-1 Exploring What Makes Triangles Congruent Practice and Problem Solving: A/B
Similar triangles may or may not be congruent.
The corresponding parts of XYZ and NPQ are: [tex]\mathbf{Z \cong Q}[/tex] , [tex]\mathbf{YZ \cong PQ}[/tex] , [tex]\mathbf{X \cong N}[/tex] , [tex]\mathbf{NQ \cong XQ}[/tex] , [tex]\mathbf{PN \cong YX}[/tex].The unknown values are: [tex]\mathbf{y = 18}[/tex] , [tex]\mathbf{z = 12}[/tex] , [tex]\mathbf{L = 60}[/tex] , [tex]\mathbf{C = 60}[/tex], [tex]\mathbf{AC = 24}[/tex].The congruent parts are: KL and RQ, KJ and RS, QS and LJQuestion 1 to 6:
Triangles XYZ and NPQ are similar triangles.
This means that:
Angles Z and Q, lines YZ and PQ, angles P and Y, angles X and N, lines NQ and XZ, lines PN and YX are corresponding sides and angles
Question 7 to 12:
Triangles LMN and CBA are similar triangles.
This means that:
[tex]\mathbf{7z+6 = 5y}[/tex]
[tex]\mathbf{2y-12 = z + 12}[/tex]
Collect like terms
[tex]\mathbf{2y= z + 12+12}[/tex]
[tex]\mathbf{2y= z + 24}[/tex]
Make z the subject
[tex]\mathbf{z = 2y -24}[/tex]
Substitute [tex]\mathbf{z = 2y -24}[/tex] in [tex]\mathbf{7z+6 = 5y}[/tex]
[tex]\mathbf{7(2y -24) + 6 = 5y}[/tex]
[tex]\mathbf{14y -168 + 6 = 5y}[/tex]
[tex]\mathbf{14y -162 = 5y}[/tex]
Collect like terms
[tex]\mathbf{14y -5y = 162}[/tex]
[tex]\mathbf{9y = 162}[/tex]
Divide both sides by 9
[tex]\mathbf{y = 18}[/tex]
Recall that: [tex]\mathbf{z = 2y -24}[/tex]
[tex]\mathbf{z = 2 \times 18 - 24}[/tex]
[tex]\mathbf{z = 12}[/tex]
[tex]\mathbf{L = 60}[/tex]
[tex]\mathbf{LN = 2y - 12}[/tex]
[tex]\mathbf{LN = 2 \times 18 - 12}[/tex]
[tex]\mathbf{LN = 24}[/tex]
[tex]\mathbf{C = L}[/tex]
[tex]\mathbf{C = 60}[/tex]
[tex]\mathbf{AC = LN}[/tex]
[tex]\mathbf{AC = 24}[/tex]
Question 13:
The congruent parts are: KL and RQ, KJ and RS, QS and LJ
Read more about congruent and similar triangles at:
https://brainly.com/question/19589236
Can please someone help with this im have troubles to solve this
Answer:
f(4)=3(4)+2
=12+2
=14
f(-2)=3(-2)+2
=-6+2
= -4
14 out of 22 students in 1st period passed the math assignment. What is the ratio of the students who passed to those who did NOT pass?
Answer:
14:8
Step-by-step explanation:
Find m 5
Lines L and M are parallel
Answer:
142
Step-by-step explanation:
<38 and <6 are vertical angles so they both measure 38
<6 and <5 are same side interior angles so they add up to 180
knowing this, you can simply subtract 38 from 180 to find <5
180 - 38 = 142
⚠️PLEASE HELP FAST⚠️ Camie and Jorge each begin saving money
for a new computer. Camie saves $5 per
week plus $50 she receives for her birthday.
Jorge saves $7 per week. Which of the
following can be used to find w, the number
of weeks until Jorge has saved at least the
same amount as Camie?
A.7w = 5W + 50
B.50 + 5w < 7w
C.5W + 50 >_7w
D.7W >_5W + 50
Answer:
The answer is A
Step-by-step explanation:
Camie: $5x + $50 = $55 ( for now/i think)
Jorge: $7x
The equation to represent Jorge has saved at least the same amount as Camie is 7w = 5W + 50.
The correct option is (A)
What is equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.
To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign.
Given:
Camie saves $5 per week plus $50 she receives for her birthday.
Jorge saves $7 per week.
Now, Jorge have to achieve the same amount as Camie.
let w be the number of weeks.
Then equation can be represented as
7w = 5W + 50
Here 7w is amount by Jorge and 5W + 50 is amount of Camie.
Hence, the equation to represent Jorge has saved at least the same amount as Camie is 7w = 5W + 50.
Learn more about equation here:
https://brainly.com/question/10413253
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Please help me understand this math problem! :D
Answer:
48 cm^2
Step-by-step explanation:
First find the area of each shape.
2 triangles- [bxh]x1/2
(4 times 3)(divided by 2) = 6, but there are 2 triangles so 6+6=12
Square- (l x w)
3 times 3 (You get the other three from the other side of the rectangle) =9
Left rectangle- (l x w)
3 times 4 = 12
Right rectangle- (l x w)
5 times 3 (You get the three from the side of the square) = 15
Total: 2 triangles Area + Square Area + Left rectangle Area+ Right rectangle Area = Surface Area
12 + 9 + 12 + 15 = 48 cm^2
Hope this helps!!
There are three positive consecutive integers where the first number times the second number is 7 more than the third number. Find the sum of all 3 integers.
Given that,
The three numbers are consecutive
The three numbers are
x
x + 1
x + 2
Also,
x × (x + 1) = (x + 2) + 7
x² + x = x + 9
x² + x - x = 9
x² = 9
x = √9
x = 3
The three numbers
x = 3
x + 1 = 4
x + 2 = 5
The sum of the three numbers
3 + 4 + 5 = 12
Clea estimates that a glass contains 250.55 mL of water. the actual amount of water in the glass is 279.48 mL. To the nearest tenth of a percent what is the percent error in Clea's estimate?
Kim sold a house for $230,000 and made a 3% commission. How much money did Kim make in commission for selling the house?
Answer: kim made $6,900 in commission for selling the house
Step-by-step explanation:i took the test
Parallelogram JKLM is half as wide as it is long. If side Which statements are true? Select all that apply.
JK is 2 inches long, find the length of the remaining sides. O Parallelograms have opposite sides that are
2 in.
congruent.
K
If side JK is 2 inches long, then side ML must also
be 2 inches long.
If side JK is 2 inches long, then side KL must also
be 2 inches long.
Side JK is half as long as side KL.
O Side JK is twice as long as side KL.
M
Sides KL and JM are both 4 inches long.
Sides KL and JM are both 1 inch long.
Answer:1,2,4,6
Step-by-step explanation:
I just finished this assignment!!! Good luck and God bless.
Solve each system by elimination.
1) -r – 2s + t = 1
6r - + 4t = -28
-3r + 5s – 4t = 26
Answer:
s = 54/31
r= -156/31
t= -17/31
Step-by-step explanation:
Mr. Gonzalez joined a gym that had an initial membership fee of $199 and a monthly cost of $35. How
many months would he have been a member if he paid a total of $829?
Answer:
sorry
Step-by-step explanation:
Find the height of a cylinder with a volume of 36π cm3 and a base with a radius of 3 cm.
Answer:
Step-by-step explanation:
Given
Volume of cylinder =36π
Radius of cylinder=3cm
Volume of cylinder=πr^2h
πr^2h=36π
r^2h=36. ( π cancel from both side)
3×3×h=36
h=36/9
h=4cm
Answer:
h=4cm
Step-by-step explanation:
Plzz help if u can plzzzz
Answer:
I think 32
I'm not sure
what is the measure of the line segment AB if D is between A and B, AD = 7, and DB = 12?
Answer:
Given AD = 7 and DB = 12, to find AB you need to add them
AB = 12+7
AB = 19
The measure of the line segment AB is 19 units.
What are the coordinates of midpoint of the line segment AB?Suppose we've two endpoints of a line segment as:
A(p,q), and B(m,n)
Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:
[tex]x = \dfrac{p+m}{2}andy = \dfrac{q+n}{2}[/tex]
We are given that;
AD = 7, and DB = 12
Now,
To find the measure of the line segment AB, we need to use the segment addition postulate. The segment addition postulate states that if a point is between two other points on a line segment, then the sum of the lengths of the two smaller segments is equal to the length of the larger segment.
In this problem, D is between A and B, so we can apply the segment addition postulate and write:
AD + DB = AB
Substituting the given values of AD and DB, we get:
7 + 12 = AB
Simplifying, we get:
19 = AB
Therefore, by the given point the answer will be 19 units.
Learn more about mid point here;
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BRAINLIEST BRAINLIEST BRAINLIEST!!!!!!!!!!!
The graph below shows the relationship between the number of months different students practiced tennis and the number of matches they won:
Part A: What is the approximate y-intercept of the line of best fit and what does it represent?
Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice. Show your work and include the points used to calculate the slope.
A school wants to buy a chalkboard that measures 3 feet by 4 feet the chalkboard cost $6.14 per square foot. How much will the chalkboard cost
Answer:
$49.12
Step-by-step explanation:
8
Juan deposited $450 in an account that earned 7.5% simple interest.
- He did not make additional deposits and he didn't withdraw any money from the
account.
What was the balance in Juan's investment account after 3 years?
F $101.25
G $559.03
H $109.03
J $551.25
Answer:
J $551.25Step-by-step explanation:
Step one:
given data
principal= $450
rate= 7.5%= 0.075
time = 3 years.
Step two:
the simple interest formula is
A=P(1+rt)
Substituting we have
A=450(1+0.075*3)
A=450(1+0.225)
A=450(1.225)
A=551.25
The answer is $551.25
Will give brainiest and thx for the help
Write the first step you would take to solve each equation.
1. 3x + 2 = 7x
Answer:
Subtract [tex]7x[/tex]from both sides of the equation.
Step-by-step explanation:
According to the following equation, The first step you would take is to subtract [tex]7x[/tex] from both sides of the equation.
If a roof is 24 feet high and if you leaned a 26 foot ladder against the side of a building how far away from the building is the base of a ladder to reach the roof
Answer: 35.4 feet.
Step-by-step explanation:
Given data:
Height of the roof = 24 feet
Height of the ladder = 26 foot
Solution:
c^2 = a^2 + b^2
a = 24
b = 26
c^2 = 24^2 + 26^2
c = √576 + 676
c = √1252
c = 35.4 feet
The foot of the ladder is 35.4 foot away from the top of the ladder.
Answer:
The distance between the base of the ladder and the building is 10 ft
Step-by-step explanation:
Here, we want to calculate the distance between the foot of the ladder and the building
To get this, we need to have a pictorial representation. Please check the attachment for this
From the pictorial representation, we can see a right angled triangle with a hypotenuse of 26 feet and the other side being 24 feet. We now need to get the third side of this triangle which represents the distance we want.
Mathematically, we can calculate the distance using Pythagoras’ theorem which states that the square of the length of the hypotenuse is equal the sum of the squares of the two other sides of the triangle.
Let the distance we are looking for be D
26^2 = 24^2 + D^2
D^2 = 26^2 - 24^2
D^2 = 100
D^2 = 10^2
D = 10 feet
I NEED HELP IMMEDIATELY. MY ASSIGNMENT IS DUE IN AN HOUR
Answer: the first one would be 31.65
Step-by-step explanation:
First you have to do the a2+b2 thing to get the adjacent number then you do cos^-1(6.98/8.2) and you’ll get 31.655
For the third one x will equal 44.41
Question 15
Consider this set of ordered pairs: {(-2,-1), (2,1), (1,5), (-2,4)}. What is the range?
A
{-2, 1, 2}
B
All Real Numbers
С
{-1, 1,4,5)
D
{-2,-1, 1, 2, 4, 5)
Answer:
Option (C)
Step-by-step explanation:
Domain of a function is a set of x-values (input values) of the function.
Similarly, Range of a function is a set of y-values (output values).
Given set of ordered pairs is {(-2, -1), (2, 1), (1, 5), (-2, 4)}.
Domain → {-2, 2, 1, -2}
Range → {-1, 1, 4, 5}
Option C will be the correct option.
Put them in order from least to greatest -1,-3,4,0,0.5,-1.5,2,-0.5,1,2
Answer:
-4,-3, -1,-1.5,-0.5, 0, 0.5,1,2,2,4
Good Luck!!!
Marsha is driving 600 total miles on a trip. She has already driven 2/5 of the distance. How far has Marsha driven?
A. 120 miles
B. 240 miles
C. 300 miles
D. 360 miles
What is the Remainder when using long Division?
Answer:
it's the number that u end up with at the bottomof the division process. hope this helps...
Step-by-step explanation:
Answer:
[tex] {2x}^{2} + 3x - 11 + \frac{19x + 23}{ {x}^{2} + 2x + 2} [/tex]
Also, the term remaining after the last subtract step is the remainder and must be written as a fraction in the final answer.
slope = -2. y-intercept: (0, 0)
in slope intercept form