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
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
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
The weight of a giant panda is 10 times the weight of a red panda. The combined weight of the pandas is 220 pounds. What is the weight of each panda?
Answer:
The weight of a giant panda = x = 200 pounds
The weight of a red panda = y = 20 pounds
Step-by-step explanation:
Let
The weight of a giant panda = x
The weight of a red panda = y
The weight of a giant panda is 10 times the weight of a red panda.
x = 10y
The combined weight of the pandas is 220 pounds.
x + y = 220
We substitute 10 y for x
10y + y = 220
11y = 220
y = 220/11
y = 20 pounds
Solving for x
x = 10y
x = 10 × 20
x = 220 pounds
Hence:
The weight of each panda is:
The weight of a giant panda = x = 200 pounds
The weight of a red panda = y = 20 pounds
Answer:
maek them brainliest
Step-by-step explanation:
please
good day
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]
Lily drives 90 miles in 2 hours. If she drives at the same rate, how far does lily travel in each of the following time intervals: 1 hour, 1/2 hour, and 3 hours? Please solve in at least two different ways. You could make a bar model, double number line, ratio table, or graph.
How far does she travel in 1/2 hour?
Answer:
22.5 miles 1/2 hour - 45 miles 1 hour - 67.5 miles 1.5 hours - 135 miles 3 hours
Step-by-step explanation:
If Lily travels 90mph in 2 hours she would travel 45mph each hour. So now just take 45 times 1, 1.5, and 3 to get your answers. So in half an hour she would travel 22.5 miles
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.
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:
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:
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:
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
(-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:
-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
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.
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 ;)
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
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
Can someone answer this
Answer:
The answer is the first option.
Step-by-step explanation:
Remember
[tex]m = \frac{y_2 - y_1 }{x_2 - x_1}[/tex]
Plug in for each!
[tex]m = \frac{ 1 - 2}{4 - 8} = \frac{ - 1}{ - 4} = \frac{1}{4} [/tex]
What is the value of X in the equation?
Answer:
x = 6
Step-by-step explanation:
9+3 = (4x+2x)/3
12 = 6x/3
(12)(3) = 6x
36 = 6x
36/6 = x
6 = x
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%
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:
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
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:
Plss help. I am having trouble with question (d).
Answer:
im not sure...cuz it says 50%
its either 11.625 or 5.8125
it is the 1st one if the question means all average but if not PROBABLY only PROBABLY the right one
Step-by-step explanation:
I added all the hours together and divided it by 24 to get 11.625 but if the ans is 5.1825 ill divide 11.625 over 2
8. What is the greatest common factor
of 42 and 70?
Answer:
The answer is 14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
geometry help please explain no graph
Which is not a correct name for the line shown?
R
P
m
Q
Hello!May I please have help with the following!Will award brainliest.
Question is: Work of the bearing of Q from P.
Answer:
The bearing of Q from P is [tex]75^{o}[/tex].
Step-by-step explanation:
The diagram shows the locations of each point with respect to their bearings. As in bearing, angles are measured with the north axis taken as a reference point.
So that,
the bearing of Q from P would be the value of angle NPQ.
<NPQ = [tex]180^{o}[/tex] - <NQP (alternate angle principle)
= [tex]180^{o}[/tex] - [tex]105^{o}[/tex]
= [tex]75^{o}[/tex]
Thus, the bearing of Q from P is [tex]75^{o}[/tex].
Furthermore, the bearing of P from Q can be determined as;
= [tex]360^{0}[/tex] - [tex]105^{o}[/tex]
= [tex]255^{o}[/tex]
The bearing of P from Q is [tex]255^{o}[/tex].
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: