Answer:
25% increase
Step-by-step explanation:
2. Out of 35 students participating in a debate, 10 are girls. The probability that winner is a boy is: a)1/7 b)3/7 c)4/7 d)5/7
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
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.
The graph shows the value of an investment after x years.
the initial amount of the investment is $___ , the investment grows at the rate of ___% each year, and the value of the investment after 10 years is $___
NEED HELP!!! I WILL GIVE POINTS IF HELP IS GIVEN!!
Step-by-step explanation:
it looks like compound interest.
initial amount $500
6% growth
after 10years $895.42
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
Aimee and Stan work in the same department for a large corporation. They are curious about the proportion of their coworkers who have children. Aimee obtains a list of all the workers in the department, randomly picks 20 names from the list, and asks those coworkers if they have children. She finds that 72% of those surveyed have children. Stan waits in the break room one morning and asks the first 20 coworkers that pass by if they have children. He finds that 85% of those surveyed have children. Which result is the better estimate of the proportion of coworkers who have children?
Neither result is a good estimate.
85%
72%
Both results are equally good estimates.
Answer:
I think 40 percent
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
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%
(-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:
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.
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
1. A school has 400 students. They all come to school by bus, and each bus carries the same number of students. How many students might there be on each bus if each hold only 50 children?
Answer:
8
Step-by-step explanation:
400 divided by 50 is 8
Answer:50
there are 400 students and a bus can hold 50 so you divide 400 by 50 which is equel to 8
so about 50 kids if all the kids go on the bus
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
Anybody know what 2(2x - 9) = 38 is?
Answer:
x = 5
Step-by-step explanation:
4x - 18 = 38
38 - 18 = 20
20 / 4 = 5
Answer:
x=14
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
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:
Solve this system of equations using substitution. x=4 3x−y=−1
Answer:
y=13
Step-by-step explanation:
12-y=-1
-y=-13
y=13
Answer:
Step-by-step explanation:
Here you go mate
Step 1
x=4
Step 2
3x-y=-1 Substitute 4 for x
(3)(4)-y=-1
-y=-13
Step 3
-y=-13 Divide both sides
answer
y=13
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:
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:
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.
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
Solve the system of linear equations by graphing. y=-3x + 1 y = x- 7
Answer:
(2,-5)
Step-by-step explanation:
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 :(
need help solving a practice question
Answer:
x=10
Step-by-step explanation:
Using Pythagoras theorem
H^2=O^2+A^2
26^2=24^2+A^2
676= 576+A^2
676-576= A^2
100= A^2
square root both sides
10= A
Therefore, x=10
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
Question Progress
Exam Paper Progress
177
Grade For This Paper
1
Sue is thinking of a number.
3
of 88
1
8
8
What number is she thinking of?
Question:
Sue is thinking of a number 3/8 of 88 = 1/3 of her number
what number is she thinking of
Answer:
[tex]x = 99[/tex]
Step-by-step explanation:
Represent the number with x.
So, we have:
[tex]\frac{3}{8} * 88 = \frac{1}{3} *x[/tex]
Multiply through by 3
[tex]3 * \frac{3}{8} * 88 = \frac{1}{3} *x * 3[/tex]
[tex]3 * \frac{3}{8} * 88 = x[/tex]
[tex]3 * 3 * 11 = x[/tex]
[tex]99= x[/tex]
[tex]x = 99[/tex]
Hence, she is thinking of 99
geometry help please explain no graph
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]
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:
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: