Answer:
sum of ratio =3+2=5
David'share=£9900x3/5=£5940
Sum of ratio for part= 4+4+2=10
for himself=£5940x4/10=£2376
for wife=£5940x4/10=£2376
for son=£5940x2/10=£1188
his wife gets over son
£2376-£1188=£1188
Answer:
1188 pounds
Step-by-step explanation:
your welcome :)
Find the midpoint of the line segment with end coordinates of:
(-3,-1) and (-4,2)
Answer:
(- 3.5, 0.5 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = (- 3, - 1) and (x₂, y₂ ) = (- 4, 2) , then
midpoint = ( [tex]\frac{-3-4}{2}[/tex], [tex]\frac{-1+2}{2}[/tex] ) = ( [tex]\frac{-7}{2}[/tex], [tex]\frac{1}{2}[/tex] ) = (- 3.5, 0.5 )
2x+8y=56 on a 10x 10 grid
Answer:
Step-by-step explanation:
Simplifying
2x + -8y = 56
Solving
2x + -8y = 56
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '8y' to each side of the equation.
2x + -8y + 8y = 56 + 8y
Combine like terms: -8y + 8y = 0
2x + 0 = 56 + 8y
2x = 56 + 8y
Divide each side by '2'.
x = 28 + 4y
Simplifying
x = 28 + 4y
Kai took five tests this semester. His scores are listed below.
92, 88, 90, 96, 84
What is the mean absolute deviation of Kai's test scores?
Answer:
First, lets list them in order
84, 88, 90, 92, 96
Okay so the median is 90
the mean is 90 as well
Step-by-step explanation:
In a survey of 2,200 people who owned a certain type of car, 440 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
nothing% of the people surveyed were satisfied with the car.
Answer:
20%
Step-by-step explanation:
20% of people were satisfied with the car.
In a standard 52-card deck, half of the cards are red and half are black. The 52 cards are divided evenly into 4 suits: spades, hearts, diamonds, and clubs. Each suit has three face cards (jack, queen, king), and an ace. Each suit also has 9 cards numbered from 2 to 10. 7.
Dawn draws 1 card, replaces it, and draws another card. Is it more likely that she draws 2 red cards or 2 face cards?
Answer:
It is more likely she draws 2 red cards
Step-by-step explanation:
Given that:
Number of red d cards in deck = 26
Number of face cards = 4 * 3 = 12 face cards
If two cards are drawn with replacement ;
Probability = (required outcome / Total possible outcomes)
P(1st card red) = 26 /52) = 1/2
P(2nd card red) = 26 /52 = 1/2
P(1st card red) * P(2nd card red)
1/2 * 1/2 = 1/4 = 0.25
P(1st card face card) = 12/52 = 3/13
P(2nd card, face card) = 12/52 = 3/13
P(1st card face card) * P(2nd card face card)
3/13 * 3 /13 = 9/169 = 0.053
0.25 > 0.053
It is more likely she draws 2 red cards
find the fractional part the first number is of the second
examples:12;30,9;27,15;50
Answer:
a) 2/5
b) 1/3
c) 3/10
Step-by-step explanation:
a)12;30
= 12/30
= 2/5
b)9;27
= 9/27
= 1/3
c) 15;50
= 15/50
= 3/10
Carlos used 2 cups of yogurt and 6 tablespoons of granola for every 4 pears. Would it make sense to describe this situation with a part-to-whole ratio? Explain.
A traffic engineer records a sample of the types of vehicles that cross a bridge. She counts 112 passenger cars, 18 light trucks, and 20 heavy trucks.
What is the APPROXIMATE probability that a random vehicle crossing the bridge is a passenger car?
Answer:
The approximate probability that a random vehicle is a passenger car is 74.67%
Step-by-step explanation:
Probability
The traffic engineer records 112 passenger cars, 18 light trucks, and 20 heavy trucks. The total of vehicles recorded is n=112+18+20 = 150.
We are required to find the probability that a randomly selected vehicle crossing the bridge is a passenger car. There are 112 passenger cars, thus the probability is:
[tex]\displaystyle p=\frac{112}{150}[/tex]
p = 0.7467
p = 74.67%
The approximate probability that a random vehicle is a passenger car is 74.67%
what is the solution to this system of equations
A. (4,2)
B. (8,4)
C. (4,8)
D. (2,4)
Answer:
B. (8,4)
Step-by-step explanation:
To find the solution of the system, look at where the lines intersect. The intersecting point is (8,4). The solution to the system of equations is (8,4).
Answer:
B. (8,4)
Step-by-step explanation:
We want to find when these two equations are equal. The long way is to actually solve them using elimination or substitution of the equations. But, we can see an easier and clever way to solve them.
There is one specific time when equations are equal and that is when their lines intersect or cross, notice the graph and where they intersect. That specific coordinate where they intersect is your answer, (8, 4)!
On average, Emma can clean her room in 35 minutes but, depending on how dirty her room is, her time can vary from the average by 20 minutes.
Which absolute value equation can be used to calculate Emma's maximum and minimum time to clean her room?
Let x represent the maximum and minimum time.
|x-20|=35
|x+20|=35
|x+35|=20
|x-35|=20
B. |x+20|=35
This is because 20 is the minimum time, so you have to add that to whatever x is. since x can be the minimum or maximum, this further proves this statement. You can also know this is correct because the final product (35) was the maximum time shown in the world problem
May I have brainliest please? :)
Decrease £16855.21 by 3.5%
Answer:
16265.27765
Step-by-step explanation:
3.5 percent of 16855.21 is 589.93235
16855.21-589.93235=16265.27765
please mark me as brainliest! i'd really appreciate it<3
A jet ski that holds 10 gallons of gas
moves across a lake at a constant speed.
When it starts, it is 45 miles from the shore.
After 30 minutes, it is 30 miles from the
shore. Which function describes the jet ski's
distance from the shore?
A. y = x/2 + 45
B. y = - x/2+45
C. y = 2x – 30
D. y = -2x – 15
Answer:
Step-by-step explanation: the answer is b
help please ! so i can finish this assignment
Answer:
-0.1, -0.02, [tex]\frac{5}{6}[/tex], [tex]|\frac{9}{8}|[/tex], 10
Step-by-step explanation:
what does b equal. 2/3b +19=35
2/3b + 19 = 35
-19 -19
----------------------
2/3b = 16
÷2/3 ÷2/3
----------------------
b = 24
2x + 3 = 5 what does x equal?
Answer:
x=1
2x+3=5
-3 -3
now the three gets canceled and 5-3 is 2
2x=2
now divide 2 on both sides
2x÷2=2÷2
x=1
I NEED HELP NOOOOOWWWWWWWW!!!
Answer:
116
Step-by-step explanation:
what is the LCM of 9,12,16
Answer: The Least Common Multiple (LCM) for 9, 12 and 16, notation LCM (9,12,16), is 144.
Answer:
its 144
Step-by-step explanation:
Which value from the set {0,1,17,72} makes the equation n + 8 = 9 true?
answer: 1
step-by-step explanation: n + 8 = 9
therefore 9-8 = 1
The solution to the equation n+ 8 = 9 is 1 from the set {0,1,17,72} n = 1 satisfy the provided equation.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a linear function in terms of n:
n + 8 = 9
Subtract 8 both side:
n + 8 – 8 = 9 – 8
n = 1
From the set, we can see the element 1 is the solution to the given equation.
Thus, the solution to the equation n+ 8 = 9 is 1 from the set {0,1,17,72} n = 1 satisfy the provided equation.
Learn more about the function here:
brainly.com/question/5245372
#SPJ2
What is the solution to the system of equations graphed below?
y = -2x + 4
-5
5
y = x-5
O A. (3,2)
B. (0,4)
C. (3,-2)
D. (0,-5)
Please help
Answer:
C. (3,-2)
Step-by-step explanation:
please help!
Solve this system of linear equations using linear combination/elimination.
Madeline has 19 coins in her backpack. Some are nickels and some are quarters. The total value of the coins is $2.15. How many nickels and quarters does she have?
Answer:
8 quaters 3 nickels
Step-by-step explanation:
Please please help! Will mark brainliest!
Answer:
-
Step-by-step explanation:
whats 65 times 9 divided by 5
Johnathan's salary for a four-week period was $7,396.00. What is the weekly salary?
Answer:
$1,849
Step-by-step explanation:
7,396/4=1,849
There are 12 more boys than girls in the cafeteria. If there
are 22 people all together, how many boys are there?
1. The spinner shown has 6 congruent sections.
6
2
5
3
4
The spinner is spun 120 times. What is a reasonable
prediction for the number of times the spinner will
land on an even number?
Find the length of x, y.
30°
16
у
60%
X
Answer:
x = 8, y = 8[tex]\sqrt{3}[/tex]
Step-by-step explanation:
30-60-90 triangles have sides in a ratio of 1 : [tex]\sqrt{3}[/tex] : 2
'x' would be half of 16, or 8
'y' would be x · √3, or 8[tex]\sqrt{3}[/tex]
How would the frog hop to meet the following requirements?
• From 3, make one hop and land on 6.
• From 6, make one hop and land on the opposite of 6.
• From the opposite of 6, make one hop to land on the opposite of the opposite of 6.
Answer:
He would make one hop to land on 6.
Step-by-step explanation:
He starts on 6, and hops to the opposite of the opposite of 6, which is 6.
The video streaming service that you want to use is represented with the equation below, where y represents the the total monthly cost of the service and x represents the number of videos you plan to stream each month:
y = $1.25x + $5.00
What is the total cost of the service for the month if you stream 30 videos?
Group of answer choices
$36.25
$151.25
$35.00
$42.50
Answer:
$42.50
Step-by-step explanation:
y = mx + b
x = how many videos you watched
y = 1.25(30) + 5.00 = 42.50
solve 3(y+4) = 24
could you please explain how you found y ^^
Answer:
Answer is 68
y + 4 = 72
y = 68
please answer correctly for brainliest
Answer:
Y=-3x+2
Step-by-step explanation:
Good luck!!!