Answer:
30 and 10
Step-by-step explanation:
Given ratio of age = 3 : 1 = 3x : x ( x is a multiplier )
Six years ago their age ratio was
3x - 6 : x - 6 = 6 : 1 ← express in fractional form
[tex]\frac{3x-6}{x-6}[/tex] = [tex]\frac{6}{1}[/tex] ( cross- multiply )
6(x - 6) =3 x - 6
6x - 36 = 3x - 6 ( subtract 3x from both sides )
3x - 36 = - 6 ( add 36 to both sides )
3x = 30 ( divide both sides by 3 )
x = 10
Thus their present ages are
mother = 3x = 3 × 10 = 30
daughter = x = 10
Which ratios have a unit rate of 4? Choose ALL that apply.
Answer: It’s 2 cups and 1/2 and 2 1/2 and 5/8
Step-by-step explanation:
The ratios have a unit rate of 4 will be 2 ¹/₂ cups: ⁵/₈ cups and 2 cups: ¹/₂ cups. Then the correct options are C and D.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
The ratios are given below.
A) 4 ¹/₃ cups: 3 cups = 1.44
B) ⁷/₈ cups: 3 ¹/₂ cups = 0.25
C) 2 ¹/₂ cups: ⁵/₈ cups = 4
D) 2 cups: ¹/₂ cups = 4
E) ¹/₈ cups: 1 cup = 0.125
F) 4 cups: 1 ¹/₄ cups = 3.2
The ratios have a unit rate of 4 will be 2 ¹/₂ cups: ⁵/₈ cups and 2 cups: ¹/₂ cups. Then the correct options are C and D.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ5
At cultutral arts day each session lasts 4/5 hours. The principal has set aside 3 hours for the sessions. Determine the number of sessions that can be sheduled for each student
Answer: 3.75
Step-by-step explanation:
The following can be gotten from the question:
Time taken for each session = 4/5 hours
Total time set aside by principal = 3 hours
The number of sessions that can be sheduled for each student will be:
= Total time set aside by principal / time taken for each session
= 3 hours / 4/5 hours
= 3 × 5/4
= 3.75
The denominators of a fraction is r more than the numerator. If the numerator is increased by 2 and the denominator is increased by 5 , the fraction obtained is 5/12 . Find the fraction
Answer:
please correct your question
How many sig figs does 602 200 000 000 000 000 000 000 molecules have ? Explain
Answer:
4
Step-by-step explanation:because 6022 is the sig figs, and 00000000000000000000 doesnt work because it is zero
Which mathematical property does (2+3)+4=2+(3+4) illustrate?
Answer:
associative property of multiplication illustrate2+3)+4=2+(3+4)
**A lady came to the market to sell eggs. Her first customer bought 1 2 of all her eggs and 1 2 of an egg. Her second customer bought 1 2 of all the remaining eggs and 1 2 of an egg. Finally, a third customer bought 1 2 of all of her remaining eggs and 1 2 of an egg. At this point she had sold all of the eggs she had brought to the market so she went home. How many eggs did the lady have when she first came to the market?
Answer:
She had 7 eggs when first went into the market
Step-by-step explanation:
Three times multiply 1/2 and minus 1/2 until you get zero.
7 x 1/2 - 1/2 = 3
3 x 1/2 - 1/2 = 1
1 x 1/2 - 1/2 = 0
Answer:
7
Step-by-step explanation:
A sweater priced at $34.99 is on sale for 25% off. Find the cost with 7.5% sales tax.
Answer:
25%=$8.74 7.5%=$2.62
Step-by-step explanation:
Given the function
g(x) = 2x + 4 find 9(2), 9(4), and g(10)
Help please I’ll give you 25 points
Answer:
=x3y+8
Step-by-step explanation:
HELPPPPP ASAPPPPP PLSSSS
Please explain if is proportional or not
Answer:
Yes
Step-by-step explanation:
1x6=6
2x6=12
3x6=18
4x6=24
Answer:
yes it is porportional they are all
Step-by-step explanation:
Find the slope that passes through the points (19,-2) and. (11, 10)
Answer:
12 over -8
Step-by-step explanation:
A certain forest covers an area of 3000 km^2. Suppose that each year this area decreased by 8%. What will the area be after 15 year? Round answer to nearest square kilometer
Please Answer! I have been working on this for an hour and can't get it!
Given A (4,2) and B (-1,y), what is y when the slope of AB is -7/5?
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
8y – 4x = -56
.
Find the measure of ∠3.
45°
90°
135°
Use the Remainder Theorem to determine whether or not x + 3 is a divisor of p (x) = 2x^3 + 4x^2 - 2x + 12
PLEASE SHOW WORK.
Step-by-step explanation:
This is answer. I'm sri lankan. But our a/l exam have this mathematics questions
The remainder when the polynomial p(x) = 2x³ + 4x² - 2x + 12 is divided by x + 3 is -6.
A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.
The remainder theorem states that for a polynomial, f(x) divided by a linear polynomial , x - a, the remainder is equal to f(a).
Given the polynomial; p(x) = 2x³ + 4x² - 2x + 12, since it is divided by x + 3, hence:
x + 3 = 0
x = -3
p(-3) = 2(-3)³ + 4(-3)² - 2(-3) + 12 = -6
Hence the remainder when the polynomial p(x) = 2x³ + 4x² - 2x + 12 is divided by x + 3 is -6.
Find out more at: https://brainly.com/question/13416073
A t-shirt vendor is thinking about changing the number of t-shirts he brings to an event. Which size should he bring more of?
Answer:
medium
Step-by-step explanation:
Mediums were sold the most, and this size had the least amount remaining at the end of the event. Hope this helps
Answer:
medium!! {a p e x :))}
------------------------
Step-by-step explanation:
small: 160/225=0.71*100=71 shirts
medium: 335/375=0.893*100=89 shirts
large: 275/325=0.846153*100=85 shirts
x-large: 125/175=0.714285*100=71 shirts
based on the math above, the medium shirts sell the best, which means that the vendor should bring more of the medium shirts
Will mark brainlist! Andrea spent $2 to make 10 prints from a photo both. Later, she spent $6 to make 30 prints. Did she get a better deal the first or second time she purchased prints. How do you know?
Answer:
She got an equally good deal both times
Step-by-step explanation:
[tex]\frac{2}{20}[/tex] can be simplified to make [tex]\frac{1}{5}[/tex]
[tex]\frac{6}{30}[/tex] can be simplified to make [tex]\frac{1}{5}[/tex]
they are the same
solve for x and simplify -5/6x=-3
Answer:
x = 18/5
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDAS Equality PropertiesStep-by-step explanation:
Step 1: Define equation
-5/6x = -3
Step 2: Solve for x
Divide both sides by -5/6: x = 18/5Step 3: Check
Plug in x to verify it's a solution.
Substitute: -5/6(18/5) = -3Multiply: -3 = -3There are 8 people working on a project with m tasks, and for each task, there are 4 people participating in. We know that any two persons work n tasks, n>0. What is the minimal value of m?
Answer:
2 tasks because you look and it says there are 8 people and 4 for each task
Step-by-step explanation:
hope this helps
Two friends, Aria and Kaylee, took summer jobs. The equation y = 20.2 x y=20.2x represents Kaylee's earnings in dollars and cents, y y, for working x x hours. Aria earned $737.20 in 38 hours.
Answer:
y=19.4x------represents Aria's earnings in dollars and cents,
Step-by-step explanation:
The question is not complete, however, the idea from this response can provide the needed solution and understanding
Step one:
The linear function for the earnings is given as
y = 20.2x-----this represents Kaylee Earnings.
y represents the total earnings
x represents the earning rate, in this situation it $20.2 per hour, this is also the gradient of the function m
Step two:
we want to find th equation for Aria earning
y= $737.20
time taken x=38 hours
737.2=m(38)
divide both sides by 38
m=737.2/38
m=19.4
this means that Aria earn $19.4 per hour
the function for Aria is
y=19.4x
Please can anyone simplyfy that and can you tell the steps?
Step-by-step explanation:
Hope I did the way it was required! And helped you somehow!
There are Z fishes in an aquarium. 1/4 of the fish are angelfish. How many fish are angelfish.
Answer:
Does it say how many fishes inall?
Step-by-step explanation:
8. It took Sharon 85 minutes to wash three cars. She spent x minutes on each car and 10 minutes
putting everything away. Solve 3x +10 = 85 to find out how long it took to wash each car.
a. 5.5 minutes
b. 28.3 minutes
c. 25 minutes
d. 31.65 minutes
Answer:
c. 25 minutes
Step-by-step explanation:
3x + 10 = 85
3x = 85 - 10
3x = 75
x = 25
The ratio of pears to bananas in a fruit basket is 6 to 5. If there are 44 pears and bananas altogether, how many bananas must there be?
Answer:
20 BananasStep-by-step explanation:
we are going to apply the part to all method to solve this problem
Step one:
Given that the ratio of pears to banana is 6:5
the total ratio is 6+5= 11
and the total fruit is 44
Step two:
let the number of banana be x
applying the part to all method
5/11=x/44
cross multiply we have
11x=44*5
11x=220
divide both sides by 11
x=220/11
x=20
the bananas are 20 in numbers
Which is a monthly cost associated with renting a house? A. utility bills B. property tax C. security deposit
Answer:
Property tax
Step-by-step explanation:
That is because you are paying to live on that property. As utility bills. Is like paying for tools and that is not a part of renting a house. Sercurtity deposit is not a thing.
Answer:
A. utility bills
Step-by-step explanation:
Help me find a 3rd degree binomial
Step-by-step explanation:
A binomial expression has two terms. For example, 4x + 5,
The degree of any polynomial refers to the term with the highest exponent on its variable. For example, In expression 4x + 5, the exponent of x is 1 so it is 1st degree polynomial and in the same way, for since the variable y has the highest exponent i.e., 2 therefore it is 2nd degree polynomial.
Now, third degree binomial with constant term 8 =
As it has two terms where first term is and second term is 8. Therefore, it is called binomial and since the highest exponent with variable x is 3, therefore it is third degree binomial with constant term of 8.
Ryan and his children went into a bakery and will buy cupcakes and brownies. Each cupcake costs $4.75 and each brownie costs $1. Ryan has a total of $50 to spend on cupcakes and brownies. Write an inequality that would represent the possible values for the number of cupcakes purchased, cc, and the number of brownies purchased, b.b.
Answer: 4.75c+1b ≤50
Step-by-step explanation: One cupcake costs $4.75, so “c” cupcakes cost $4.75. One brownie cost $1, so “b” brownies cost 1b. The total 4.75c+1b must be less or equal to $50.
Which system of equations does the graph represent?
A) y = 2x + 2
y = -3x + 4
B) y = x + 2
y = -x + 4
C) y = 2x + 4
y = -3x + 2
D) y = -x + 2
y = x + 4
Answer:
The answer is B) y= x + 2
y= - x + 4