Answer: d) 5/7
Step-by-step explanation:
10 out of 35 of the students are girls. The number of boys is therefore:
= 35 - 10
= 25 boys
Probability that the winner is a boy is:
= 25/35
Take that fraction to the simplest by dividing both by 5:
= 5/7
The polygons are similar, but not necessarily drawn to scale. Find the value of x.
A) x=13
B) x=7
C) x=10
D x=5.5
Answer:
B) x=7
Step-by-step explanation:
Take 16/4 and 8/2 to get 4 for the both of them.
Then take 2.5 x 4 to get 10.
Finally fill in what you know.
10= x-3
7=x
Answer: It’s a or 13
Step-by-step explanation: took the test got 100%
Sheleah and her family are planning a trip from Los Angeles, California to Melbourne, Australia. While booking her family's plane tickets, she notices on the itinerary that the airline is offering a sixteen hour straight flight from Los Angeles to Melbourne on a Boeing 747-8 Intercontinental Jet. In an effort to learn more about the capabilities of the Jet, Sheleah does a little research and stumbles upon the following graph and facts about the Jet's gasoline consumption.
GRAPH IN SCREENSHOT
The Boeing 747-8 Intercontinental Jet can carry approximately 422,000 gallons of gasoline, making it possible for the jet to travel 14,430 kilometers before needing to refuel.
Using the graph, approximate the Jet's average gas consumption, in gallons per hour, during the sixteen hour flight from Los Angeles, California to Melbourne, Australia. In your final answer, include all of your calculations.
26375
On the graph, it tells you how much fuel is left after 2 hours of the journey.
If we take 422,000 and subtract 369,250 from it we get 52,750. However, this is how much gas is used in 2 hours, so to find one hour we need to divide by 2, getting us 26,375.
Therefore, the Jet uses 26,375 gallons per hour during the 16 hour trip from Los Angeles, CA to Melbourne, Australia.
Mr. Silverstone invested some money in 3 different investment products. The investment was as follows:
a. The interest rate of the annuity was 4%.
b. The interest rate of the annuity was 6%.
c. The interest rate of the bond was 5%.
d. The interest earned from all three investments together was $950.
Which linear equation shows interest earned from each investment if the total was $950?
a.) a + b + c = 950
b.) 0.04a + 0.06b + 0.05c = 9.50
c.) 0.04a + 0.06b + 0.05c = 950
d.) 4a + 6b + 5c = 950
Answer: c.) 0.04a + 0.06b + 0.05c = 950
Step-by-step explanation:
To find interest per investment you need to multiply the percentage interest rate by the value of the investment.
When written in linear equations, percentages are converted to decimal form.
4% = 1/100 = 0.04
6% = 6/100 = 0.06
5% = 5/100 = 0.05
These are the interest rates that when multiplied by their investments, will give a total of $950.
0.04 * a + 0.06 * b + 0.05 * c = 950
0.04a + 0.06b + 0.05c = 950
Option c is therefore correct.
27 minus 9X +15 Y please
27 - 9x +15y
Factor out common term 3 :
3(9-3x+5y)
hope this helps!
Answer:
3(9-3x+5y)
Step-by-step explanation:
-7x - 36 = 20 -3x
Help
Step-by-step explanation:
-7x-36=20-3x
-36-20=-3x+7x
-56=4x
-56/4=X
-14=X
X=-14 answer
60 PTS+ BRAINLIEST IF CORRECT (RANDOM OR INCOMPLETE ANSWERS WILL BE REPORTED)
Question 1(Multiple Choice Worth 1 points)
(05.05 MC)
Given the frequency table, what percentage of the students that like rock are also in grades 11–12? Round to the nearest whole percent.
Band Preference for School Dance
Rap Rock Country Row totals
Grades 9–10 40 30 55 125
Grades 11–12 60 25 35 120
Column totals 100 55 90 245
10%
21%
25%
45%
Answer:
d. 45%
Step-by-step explanation:
According to the frequency table there are 30 sudents who like rock in grades 9-10 and 25 students that like rock and are in grades 11-12.
25 ÷ 55 = n ÷ 100
25 · 100 = 55 · n
2500 ÷ 55 = n n = 45.454545 n = 45%
55 is the total amount of students that like rock
25 is the total amount of students that like rock in grades 11-12
100 is the total percentage
Subtract -7x + 6 from -2x^2 + 9x - 2
Answer:
[tex]( - 2 {x}^{2} + 9x - 2) - ( - 7x + 6) \\ = - 2 {x}^{2} + (9 + 7)x + ( - 2 - 6) \\ = - 2 {x}^{2} + 16x - 8[/tex]
Rectangular tiles, which measures 8 by 6 ,are arranged without overlaping ,to create a square ,The minimum number of these tiles needed to make a square is
Answer:
24
Step-by-step explanation:
To obtain the minimum number fi tiles needed;
We find the Lowest common multiple of 8 and 6
Multiples of :
6 = 6, 12, 18, 24, 30, 36, 42, 48,...
8 = 8, 16, 24, 32, 40, 48, 56,...
Hence, the lowest common multiple of 8 and 6 is 24
Answer:
its B
Step-by-step explanation:
How many solutions does 6 -3x = 12 - 6x have?
A. Two solutions
B. No solutions
C. Infinitely many solutions
D. One solution
Answer:
D. One solution
Step-by-step explanation:
Simplify:
[tex]6-3x = 12-6x\\-3x+6x = 12-6\\3x = 6\\x = 2[/tex]
There is only one solution (x=2) that satisfy the equation.
(-2, 4) and (3, -1)
Write equation in slope intercept form
Answer: y=-x+2
Step-by-step explanation:
m=(-1-4)/(3+2)=-5/5=-1
y=-x+b
Plug in the values
y=-x+2
Answer:
y = − x + 2
Step-by-step explanation:
Simplify the expression 53 × 5-^5.
Answer:
i believe its 260
Step-by-step explanation:
sorry if its wrong
Answer:
Step-by-step explanation:
Hope this Helps ;)
A boat leaves the dock and travels 10 miles due south, then 24 miles due west. how far is the boat from the dock? pls help!
Answer:
I think it's A
Step-by-step explanation:
Subtract 24-10 and it leaves you with 14
What is the slope of a line perpendicular to the line whose equation is 10 x + 6 y = − 84 10x+6y=−84.
Answer:
3/5
Step-by-step explanation:
The equation of a line is written as
y = mx + b where
m is the slope
b is the y-intercept.
We put the given equation above in that form
10x + 6y = - 84
6y = -10x - 84
Divide both sides by 6
y = -10x/6 - 84/6
y = -5x/3 - 14
y = -5/3x - 14
The slope of this line is -5/3
But we are told that: the slope of the line is perpendicular to the line
Hence: we find the reciprocal of , -5/3
This is = 3/5
Therefore, the slope of a line perpendicular to the line whose equation is 10x + 6y = −84 is 3/5
Can somone help me on this with an explanation PLZ :(
Solve the system of linear equations by graphing. y=-3x + 1 y = x- 7
Answer:
(2,-5)
Step-by-step explanation:
The formula for the volume of a rectangular prism is V = lwh. What is the formula when solved for w?
Answer:
w=V/Ih
Step-by-step explanation:
The formula for the volume of a rectangular prism is given as V = lwh.
✓ we are required to solve for "w" and this can be done by making "w" subject of the formula.
w=V/Ih
Hence, formula for " w" is w=V/Ih
Write slope intercept of the equation with slope of 7 crossing point (0, 5)
Answer:
y=7x+5
Step-by-step explanation:
help pls i promise this one isnt that hard
Answer:
96 :)
Step-by-step explanation:
Answer:
96
Step-by-step explanation:
Make 240 into a decimal (2.4), then multiply it by 40 and you get 96!
I hope this helps and have a great day! :)
Please answer please ASAP * please don’t answer if you don’t know please .
Answer:
x = 26
Step-by-step explanation:
1. Information
One can partition this figure into three different parts, two congruent triangles, and one rectangle. To find the value of x, one has to find the base of the two triangles, and then the base of the rectangle. Since opposite sides are congruent, the base of the rectangles is 10. To find the base of the triangle, one has to use the Pythagorean theorem.
2. Base of the rectangle
Again, opposite sides are congruent, hence the base of the rectangle is equivalent to the top part. Hence the base is 10.
3. Base of the triangle
Use the Pythagorean theorem;
[tex]a^{2}+b^{2} = c^{2}\\a-leg\\b-leg\\c-hypotenuse[/tex]
Substitute in the given value and solve
[tex]a^{2}+15^{2} = 17^{2}\\a^{2} + 225 = 289\\a^{2} = 64\\a = 8[/tex]
4. Finding x
There are two congruent trinagles, hence one has to add the base of the triangle twice. The equation will be
x = base_of_triangle + base_of_rectagle + base_of_triangle
x = 8 + 10 + 8
x = 26
State the equation of the straight line with:
a - a gradient of 4 passing through the y-axis at (0,7)
b - a gradient of 5 passing through the y-axis at (0,1)
c - a gradient of 6 passing through the y-axis at (0,2)
d - a gradient of 9 passing through the y-axis at (0,13).
Answer:
a) y = 4x + 7 (b) y = 5x + 1 (c) y = 6x + 2 (d) y = 9x + 13
PLEASE HELP MEEEE 28 POINTS!!!!
A. Find an equation in point-slope form for the line having the slope m = 6 and containing the points (7,2)
B. Find an equation in point-slope form for the line having the slope m=-4 and containing the point (1,9).
Answer:
Part A)
An equation in point-slope form for the line having the slope m = 6 and containing the point (7,2).
[tex]y - 2 = 6(x-7)[/tex]
Part B)
An equation in point-slope form for the line having the slope m = -4 and containing the point (1, 9).
[tex]y - 9 = -4(x-1)[/tex]
Step-by-step explanation:
Part A)
Given
Slope m = 6
Point (7, 2)
To Determine
Find an equation in point-slope form for the line having the slope m = 6 and containing the point (7,2).
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
m is the slope of the line(x₁, y₁) is the pointIn our case:
m = 6(x₁, y₁) = (7, 2)substituting the values m = 6 and the point (x₁, y₁) = (7, 2) in the point-slope form of line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - 2 = 6(x-7)[/tex]
Therefore, an equation in point-slope form for the line having the slope m = 6 and containing the point (7,2).
[tex]y - 2 = 6(x-7)[/tex]
Part B)
Given
Slope m = -4
Point (1, 9)
To Determine
Find an equation in point-slope form for the line having the slope m = -4 and containing the point (1, 9).
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
m is the slope of the line(x₁, y₁) is the pointIn our case:
m = -4(x₁, y₁) = (1, 9)substituting the values m = -4 and the point (x₁, y₁) = (1, 9) in the point-slope form of line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - 9 = -4(x-1)[/tex]
Therefore, an equation in point-slope form for the line having the slope m = -4 and containing the point (1, 9).
[tex]y - 9 = -4(x-1)[/tex]
The answer is:
1) y - 2 = 6(x - 7)
2) y - 9 = -4(x - 1)
Work/explanation:
The point slope formula is:
[tex]\bf{y-y_1=m(x-x_1)}[/tex]
where m = slope;
(x₁, y₁) is a point on the line.
For this problem, m = 6 and the point is (7,2).
Plug in the data:
[tex]\bf{y-2=6(x-7)}[/tex]
__________________
For this problem, m = -4 and the point is (1,9).
Plug in the data:
[tex]\bf{y-9=-4(x-1)}[/tex]
Hence, these are the equations.
5 rate?? my brother doesn't want to helpx me someone help?]'
Answer:
-5/2 is the reciprocal of -2/5, but the opposite would just be 5/2.
Step-by-step explanation:
Answer:
yes the answer is yes i think im not good at explaing but hope that helps
Step-by-step explanation:
nine over twelve equals fifteen over n
A. 18
B. 20
C. 22
D. 17
Answer:
[tex]\frac{9}{12} = \frac{15}{y} \\(12 * 15) / 9 = 20\\B) 20[/tex]
Step-by-step explanation:
Which of the following expressions are equivalent? Justify your reasoning.
A. x34
B. 1x−1
C. x5•x4•x210
D. x13•x13•x13
Justify why it’s B and D
Answer
Step-by-step explanation:
i dont know but pls dont hate me no one anserd for 15 hours so i took some points
Your middle school has 900 students. 1/3 of students bring their lunch instead of buying lunch at school. How many students do and do not bring their lunch?
Answer:
2/3
Step-by-step explanation:
If 1/3 of students bring their lunch to school then 2/3 of students dont
Answer:
300 brought lunch
600 did not bring lunch
Step-by-step explanation:
1/3 of 900 = 300
PLEASE HELP URGENT 20 POINTS
Select the measure of the complement or supplement of the angle. If there is no complement or supplement, select no complement or supplement.
55.1°
A. 124.9°
B. 119.9°
C. 49.9°
D. no complement or supplement
A. 124.9 is a supplement angle
Clare went to a concession stand that sells pretzels for $3.25, drinks for $1.85, and bags of popcorn for $0.99 each. She bought at least one of each item and spent no more than $10. Could Clare have purchased 2 pretzels, 2 drinks, and 2 bags of popcorn? Explain your reasoning. Check your work with the video when you are ready
Answer:
No.
Step-by-step explanation:
Price of each pretzel = $3.25
Price of each drink = $1.85
Price of each bag of popcorn = $0.99
Maximum money to be spent = $10
Price of two pretzels = $3.25 [tex]\times[/tex] 2 = $6.5
Price of two drink = $1.85 [tex]\times[/tex] 2 = $3.70
Price of two bags of popcorn = $0.99 [tex]\times[/tex] 2 = $1.98
Total money spent for buying two items of each type = $6.5 + $3.70 + $1.98 = $12.18
The money spent when 2 pretzels, 2 drinks and 2 bags of popcorn are bought is $12.18.
But maximum money available is $10.
Therefore, Clare would not be able to buy 2 pretzels, 2 drinks and 2 bags of popcorn with the amount of money available.
HELP PLEASE WILL GIVE BRAINLIEST!!!
is this triangle congruent?
Answer:
yes, the triangle is congruent because they all have the same three sides on each.
An amusement park sold 35 discount tickets and 15 full price tickets. What percentage of the tickets sold or discount tickets?
Answer:
70%
Step-by-step explanation: