Answer:
Step-by-step explanation:
sum of ratio=6+4+3=13
let the total price of houses=x
then
[tex]\frac{3}{13} x=240,000\\x=240,000 \times \frac{13}{3} =1,040,000\\price of first house=1,040,000 \times \frac{6}{13} =480,000\\price~of~second~house=1,040,000 \times \frac{4}{13}=320,000[/tex]
A bag of marbles contains 3 red marbles, 7 blue marbles, and 5 orange marbles. If a marble is drawn from the bag and not replaced, then a second marble is drawn. Calculate P(red then orange):
Answer:
[tex]\dfrac{1}{14}[/tex].
Step-by-step explanation:
It is given that,
Red marbles = 3
Blue marbles = 7
Orange marbles = 5
Total marbles = 3+7+5 = 15
Probability of getting a red marble is
[tex]P(Red)=\dfrac{\text{Red marbles}}{\text{Total marbles}}[/tex]
[tex]P(Red)=\dfrac{3}{15}[/tex]
[tex]P(Red)=\dfrac{1}{5}[/tex]
If a marble is drawn from the bag and not replaced. So remaining marbles is 15-1=14. Now,
Probability of getting an orange marble is
[tex]P(orange )=\dfrac{\text{Orange marbles}}{\text{Total remaining marbles}}[/tex]
[tex]P(orange)=\dfrac{5}{14}[/tex]
Now,
[tex]P(\text{red then orange})=P(Red)\times P(orange)[/tex]
[tex]P(\text{red then orange})=\dfrac{1}{5}\times \dfrac{5}{14}[/tex]
[tex]P(\text{red then orange})=\dfrac{1}{14}[/tex]
Therefore, the required probability is [tex]\dfrac{1}{14}[/tex].
Susie and Peggy arrive at the fair with $32.50. The entrance fee per person is $7.50 and each ride costs $2.50 per person. What is the total number of rides they can go on if they each pay the entrance fee? Write and solve an equation for this situation
32.50 - (7.50*2) = 17.50
17.50 / 2.50 = 7
A factory uses 1/3 of a barrel of raisins in each batch of granola bars. Yesterday, the factory used 2/3 of a barrel of raisins. How many batches of granola bars did the factory make yesterday?
Answer:
2
Step-by-step explanation:
since it takes 1/3 to make one batch then you have 2/3 it means yesterday they made 2 batches
Evaluate the following function over the domain {0,1,2,3}. What is the range? g (x) = -2x^{2} + 2
Answer:
the range= {-16, -6, 0, 2}
Step-by-step explanation:
domain={0,1,2,3}
g(x)= -2x^{2} + 2
g(0)= -2(0)^{2} + 2 =2
g(1)= -2(1)^{2} + 2 =0
g(2)= -2(2)^{2} + 2= -6
g(3)= -2(3)^{2}+ 2= -16
the range = {-16, -6, 0, 2}
what is the answer?
1/3x + 4 = x - 2
Answer:
The answer is x = 9
Step-by-step explanation:
(1/3)*x+4 = x-2 // - x-2
(1/3)*x-x+2+4 = 0
6-2/3*x = 0 // - 6
-2/3*x = -6 // : -2/3
x = -6/(-2/3)
x = 9
1. 6(8+7)=6∙8+6∙7 (this is an example of which property?)
A) Associative (addition)
B) Associative (multiplication)
C) Commutative
D) Distributive
Answer:
d: distributive
Step-by-step explanation:
8 ( 8 + 7 ) = 6 x 8 + 6 x 7, it may seem like commutative, except it pulls the parentheses out making it distributive.
Can someone please help me I need help
Answer:
C and B.
Step-by-step explanation:
f(x) = 4 - x^2.
The degree of f(x) is 2, which means it is a quadratic graph. The coefficient of x^2 is negative, which means the curve is pointing downwards. The only curve that satisfies this is Graph C.
f(x) = 2^x + 5.
Notice that 2^x is positive for all real values of x. Therefore the answer is Graph B.
Mr. Rogers has $4.62. He has 3 times as many dimes as nickels and 6 more pennies than dimes. How many coins of each kind does he have?
JUST ANSWER ME PLEASE
Do the ratios 20/10 and 1/2 form a proportion?
Answer:
no
Step-by-step explanation:
they do not form a proportion because they are not equivalent to each other.
Which number line have a point that is equal to point p? Check all that apply
A and C is the answer
Answer: A and C
Step-by-step explanation:
If 26 out of 100 high school students plays high school sports, what fraction
and what percentage of high school students do not play sports?
Check all that apply
Answer:
26%, 26/100
Step-by-step explanation
The total students will your denominator, and the number "out of" the total will be your numerator, so the fraction is 26/100. Next, convert the fraction into a decimal by dividing 26 by 100, making it 0.26. To convert a decimal into a percent, move the decimal two places to the right, ie, 0.26 becomes 26%.
Answer:
74/100 and 74%
Step-by-step explanation:
Let sin(45°)=0.7071.Enter the angle measure (μ), in degrees for cos(μ)=−0.7071.
any value equivalent to 360n +
, wheren is an integer
Given :
Let sin(45°)=0.7071.
To Find :
The angle measure (μ), in degrees for cos(μ)=−0.7071 and value equivalent to 360n + , where n is an integer .
Solution :
We know , value of sin x and cos x is same at x = 45° .
Now , cos (-x) = cos(90°+x)
Therefore , μ in given question is :
μ =90°+45°
μ=135°
So , for angle of type 360°n + :
μ = 360°n + 135° .
Hence , this is the required solution .
Evaluate each expression. 12k − h 2; use h = 2, and k = 3
Question /
Alice is three more than twice Emma's age. The sum of their ages is 48. How old is Alice?
Answer:
Alice is 33 years old.
Step-by-step explanation:
Alice is 3 more than twice Emma's age:
E = Emma
A = Alice
A = 3 + 2E
Sum = 48 years
So,
A + E = 48
(3+ 2E) + E = 48
3 + 2E + E = 48
3 + 3E = 48 (-3 both sides)
3E = 45
E = 45/3
E = 15
Emma is 15 years old.
A = 3 + 2E
A = 3 + 2(15)
A = 3 + 30
A = 33
Alice is 33 years old.
Write the improper fraction 33/10 as a mixed number
the answer is 3 3/10
hope this helps
what is 18 less than the quotient of a number and 3 as an expression
Answer:
n/3 - 18
Step-by-step explanation:
"quotient of a number and 3" is n/3, and so
"18 less than the quotient of a number and 3" as an expression is:
n/3 - 18
Last month, Jim ate 4 strawberries. Finn ate 1/8 as many strawberries as Jim did. How many strawberries did Finn eat?
Answer:
He ate 0.5 strawberry
Step-by-step explanation:
4÷8 or 4×(1/8) =0.5 strawberry
Edit 1: Typo
Answer:
1/2 or half a strawberry
Step-by-step explanation:
1/8*4
the difference of a number x and 5
Answer:
x-5
Step-by-step explanation:
"difference" means subtraction. since there isn't a specific number given then we can use x. "and" indicates where the symbols goes.
Frank has a sample of steel that weighs 80 grams. If the density of his sample of steel is 8 g/cm3, what is the sample’s volume?
Answer:
volume of the sample is 10 cm³
Step-by-step explanation:
volume = 80 g / 8 g/cm³
volume = 10 cm³
I hope this helps you :)
-KeairaDickson
- 3c = - 5 — 4с
I want to know the answer
Answer:
c=-5
Step-by-step explanation:
How do I simplify -11+5+6(-6+13)^2
Answer:
288
Step-by-step explanation:
To simplify use the mnemonic device PEMDAS (parenthesis, exponent, multiplication, division, addition, subtraction)
First simply -6 and 13 (since they are in the parenthesis)
-11+5+6(7)^2
Now find out what 7^2 is
-11 + 5 + 6(49)
Next multiply 6 and 49 (294)
Lastly add 5 then subtract 11 from it
299-11
288
Answer:
Hello! :) I hope I am correct!
Step-by-step explanation:
(The answer should be 288)
Below is the steps!!
Steps:
⇒-6+6(-6+13)^2
⇒-6+6(7^2)
⇒-6+(6)(49)
The answer would be 288 if you solve this equation.
The last step:
⇒-6+294
Which equals 288
Therefore your answer would be 288.
Hope this helps!
By:BrainlyAnime! ^-^
(Just in case you didn’t understand, I attached a picture!)
If a car travels 600 meter in 20 seconds how fast is it going
Answer:
30 meters per second
Step-by-step explanation:
Step 1:
600 ÷ 20 = 30
Answer:
30 meters per second
Hope This Helps :)
Answer:
30 m /s
Step-by-step explanation:
We are looking for the speed
d/t = speed
600m / 20 second
30 m /s
If a/\2+1/a/\2=11, then a+1/a=?
Answer:
[tex] \pm \sqrt{13} [/tex]
Step-by-step explanation:
[tex] \bigg(a + \frac{1}{a} \bigg)^{2} = {a}^{2} + \frac{1}{ {a}^{2} } + 2 \times a \times \frac{1}{a} \\ \\ \bigg(a + \frac{1}{a} \bigg)^{2} = 11 + 2 \\ \\ \bigg(a + \frac{1}{a} \bigg)^{2} = 13 \\ \\ \bigg(a + \frac{1}{a} \bigg) = \pm \sqrt{13} [/tex]
I need help finding the Function notation
Answer:
1.5, -8, 0, 2f, 2/3
Step-by-step explanation:
j(x) = 2x means the function name is j, and it is a function of the variable x. To evaluate the function, you put the given value everywhere you see x, and do the arithmetic.
j(0.75) = 2(0.75) = 1.5
j(-4) = 2(-4) = -8
j(0) = 2(0) = 0
j(f) = 2f
j(1/3) = 2(1/3) = 2/3
solve this please
[tex]5x - 2(4x + 11) = 14[/tex]
Answer:
Step-by-step explanation:
5x - 8x - 22 = 14
-3x - 22 = 14
-3x = 36
x = -12
Answer:
x = -12
Step-by-step explanation:
5x - 2(4x+11) = 14
5x - 2*4x -2*11 = 14
5x - 8x - 22 = 14
-3x = 14 + 22
-3x = 36
x = 36/-3
x = -12
Check:
5*-12 -2(4*-12 + 11) = 14
-60 -2(-48+11) = 14
-60 -2(-37) = 14
-60 + 74 = 14
An adults heart beats about 2100 times every 30 minutes.A baby beats about 2600 times every 20 minutes. How many more heart beat i 60 minutes than an adults hearts?
Given :
An adults heart beats about 2100 times every 30 minutes.
A baby beats about 2600 times every 20 minutes.
To Find :
How many more heart beat baby have than adult in 60 min .
Solution :
Now , total number of heart beats of adult in 60 min , [tex]T_a=2100\times 2=4200[/tex]
Also , total number of heart beats of adult in 60 min , [tex]T_b=2600\times 3=7800[/tex]
Difference between them , [tex]7800-4200=3600[/tex] beats .
So , baby have 3600 more heart beats than adult .
Hence , this the required solution .
Is 8/5
an irrational number?
Write x < -3 in set-builder notation
Answer:
{x is a set of Z, x<-3}
Step-by-step explanation:
Z-integer
A runner completed a 26.2 mile marathon in 5 hours. a) What is her speed in miles per hour? b) What is her speed in feet per second? Note that there are 5280 feet in 1 mile.
Step-by-step explanation:
in this problem, we are expected to convert from miles per hour to feet per second
a). What is her speed in miles per hour?
we know that speed= distance/ time
given that
distance= 26.2 mile
time= 5 hours
substitute and solve for speed we have
speed= 26.2/5
speed= 5.24 miles per hour
b) What is her speed in feet per second?
1 mile per hour is 1.46667 feet per second
5.24 miles per hours will give x
cross multiply to solve for x we have
x= 5.24*1.46667
x= 7.68 feet per seconds
Mr. Smith set aside 5/6 of an hour for homework after school each day. How many hours of homework does he do in 5 days?
4 1/6 hours
3 1/2 hours
4 1/2 hours
50 minutes