According to the National Center for Health Statistics, in 1990, 28% of babies in the United States were born to parents who were not married. Throughout the 1990s, this increased by approximately 0.6% per year. If this trend continues, in which year will 31% of babies be born out of wedlock?
Answer:
The year is [tex]b = 1995[/tex]
Step-by-step explanation:
From the question we are told that
The percentage of the number of babies born out of wedlock in 1990 is k = 28%
The percentage by which the number increase per year is i = 0.6%
The percentage of of the number of babies born out of wedlock considered is a = 31%
Generally the difference in between the percentage in 1990 and the percentage considered is
[tex]d = a - k[/tex]
=> [tex]d = 31 - 28[/tex]
=> [tex]d = 3\%[/tex]
Generally the number of year require for the percentage to be equal to 31% is mathematically represented as
[tex]n = \frac{3\%}{0.6\%}[/tex]
=> [tex]n = 5\ years[/tex]
Generally the year which the considered percentage will be attained is
[tex]b = 1990 + n[/tex]
=> [tex]b = 1990 + 5[/tex]
=> [tex]b = 1995[/tex]
Angles 1 and 2 are supplementary. Angle 2 measures 50 degrees
MORE THAN angle 1. What is the measure of angle 2?
Answer: 115 degrees
Step-by-step explanation:
Give me the brainliest plz!
please help me with math
I know that it’s supposed to flip over the y-axis but can someone please give me the points?
Answer:
Step-by-step explanation:
There are 3 critical points. Place them on the graph and go down (using a ruler and pencil).
-7, -5 trans forms into 7, -5
-4, -2 transforms into 4,-2
4, -4 transforms into -4, -4
12*PLEASE ANSWER FAST!!!!!!!!
Charlie's art class is 8 hours long. How long is his class in minutes?
Answer:
480 minutes
Step-by-step explanation:
60 minutes = 1 hr
60 x 8 = 480
480 minutes = 8 hrs
A 15 foot ladder is leaning against a building, with the base of the ladder 4 feet from the building. How high up on the building will the top of the ladder reach?
The ladder will reach
android:
nothing ft high up on the building.
(Round to the nearest tenth.)
Enter your answer in the answer box and then click Check Answer.
All parts showing
Answer: The height of the building = 14.5 feet.
Step-by-step explanation:
Given: Length of ladder = 15 feet
Distance of base of ladder from building = 4 feet
Since building is standing vertical on ground making right angle.
So with ladder a right triangle is formed , where base = 4 feet , Hypotenuse = 15 feet [Hypotenuse is side opposite to right angle]
According to the Pythagoras theorem ,
Hypotenuse² = Perpendicular² + Base²
⇒ (15)² = Perpendicular² + (4)²
⇒ 225 = Perpendicular² +16
⇒ Perpendicular² = 225 -16
⇒ Perpendicular² = 209
⇒ Perpendicular = √209 = 14.4568322948 ≈ 14.5 feet
Hence, the height of the building = 14.5 feet.
Jonathan decides to go to an arcade  Play some games. He sets a limit of $35 that he will spend 
Answer:
Hope it will help you
Step-by-step explanation:
Option BJonathan can buy 33 games.
What is equation?The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, Jonathan decides to go to an arcade to play some games. He sets a limit of $35 that he will spend
Let he can buy x games, then the equation will be,
0.75x+10 = 35
0.75x = 25
x = 100/3 ≈ 33
Hence, Jonathan can buy 33 games.
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What is the value of X? GIVING BRAINLIEST FOR WHO ANSWERS BY 5 MINUTES.
Answer:
15
Step-by-step explanation:
triangle is isosceles
Norman earns $675 per month walking dogs he has to pay 8.5% tax on his income how much tax did he pay
Answer:
57.375
Step-by-step explanation:
Multiply then move the decimal
Answer:
57.375
Step-by-step explanation:
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 675 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 675 is 100%, so we can write it down as 675=100%.
4. We know, that x is 8.5% of the output value, so we can write it down as x=8.5%.
5. Now we have two simple equations:
1) 675=100%
2) x=8.5%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
675/x=100%/8.5%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 8.5% of 675
675/x=100/8.5
(675/x)*x=(100/8.5)*x - we multiply both sides of the equation by x
675=11.764705882353*x - we divide both sides of the equation by (11.764705882353) to get x
675/11.764705882353=x
57.375=x
x=57.375
now we have:
8.5% of 675=57.375
hope it helpsssssss :)
sssssssssssssss
An online auction charges sellers a flat fee of $1.20 and 2% of the amount of the sale. Let A be the amount of the sale in dollars and C be the charge of the online auction. Explain whether the solutions A=−5 and C=1.1 are viable.
The solutions are not viable because the amount charged is not a whole number.
The solutions are viable because the amount of the sale is an integer.
The solutions are viable because the amount charged is positive.
The solutions are not viable because the amount of the sale cannot be negative
Answer:
The solutions are not viable because the amount of the sale cannot be negative
Step-by-step explanation:
We are told that;
Let A be the amount of the sale in dollars and C be the charge of the online auction
This means that both values of A and B should be non-negative integers.
Now, we are also told that An online auction charges sellers a flat fee of $1.20 and 2% of the amount of the sale.
We can conclude that the solution is not viable because the amount of sale of -1.1 cannot be negative.
a tv costs 800 plus vat at 20% what is the total cost of the tv
Write an equation in standard form.
Answer:
[1,2]; m = 7
Step-by-step explanation:
PLEASE HELP ASAP!!
what is the range of the graphed function?
A) {x | -2 < x < 2}
B) {y | -2 < y < 2}
C) {x | x is a real number}
D) {y | y is a real number}
Answer:
Since this graph is continuing, y must be any real number. So, d.
PLEASE HELP I WILL GIVE YOU A BRAINLIEST! During a basketball game, Tom attempted 25 shots and made 9. He says he made 40% of the shots he took. Is Tom correct? Explain your reasoning using complete sentences.
Answer:
Correct I think
Step-by-step explanation:
9 is nearly half of 25. (12.5) Half is equal to 50%. 40 is close to 50 and 9 is close to 12.5. So, he is correct. I think, hope this helps.
Consider the composite function g(F(x)) = x square root of 6.
If f(x) = 3x2, what is g(x)?
Answer:
g(x) = √(2x)
Step-by-step explanation:
f(x) = 3x^2
g(f(x)) =√6x
g(3x^2) = x√6
g(x) must be √(2x)
because if we substitute x = 3x^2 in this we get
(√2(3x^2))
= √2√3√(x^2)
= √6 x
Find the missing side lengths leave your answers as radicals
Answer:
Step-by-step explanation:
n = 20 (because it’s a 45° triangle so two angles are 45° which means two legs are equal)
to find m:
20^2 + 20^2 = m^2
400 + 400 = m^2
800 = m^2
m = square root(800)
m = square root(400)xsquare root(2)
m = 20square root(2)
George set up a display of oval and round pots at his garden store.
He had 16 oval pots.
He had 3 times as many round pots as oval pots.
He found cracks in 4 of the pots, so he set them aside.
George put the rest of the pots in 6 rows, with the same number of pots in each row.
How many pots did George put in each row?
A. 7 pots
B. 8 pots
C. 10 pots
D. 12 pots
a=4, b = 5, A = 16
Solve the Triangle
Triangle has two solutions: a=4; b=5; c=1.051 and a=4; b=5; c=8.561.
Extra: #1 Obtuse scalene triangle.
Sides: a = 4 b = 5 c = 1.051
Area: T = 0.724
Perimeter: p = 10.051
Semiperimeter: s = 5.026
Angle ∠ A = α = 16° = 0.279 rad
Angle ∠ B = β = 159.846° = 159°50'45″ = 2.79 rad
Angle ∠ C = γ = 4.154° = 4°9'15″ = 0.073 rad
Height: ha = 0.362
Height: hb = 0.29
Height: hc = 1.378
Median: ma = 3.009
Median: mb = 1.517
Median: mc = 4.497
Inradius: r = 0.144
Circumradius: R = 7.256
Vertex coordinates: A[1.051; 0] B[0; 0] C[-3.755; 1.378]
Centroid: CG[-0.901; 0.459]
Coordinates of the circumscribed circle: U[0.526; 7.237]
Coordinates of the inscribed circle: I[0.026; 0.144]
Exterior (or external, outer) angles of the triangle:
∠ A' = α' = 164° = 0.279 rad
∠ B' = β' = 20.154° = 20°9'15″ = 2.79 rad
∠ C' = γ' = 175.846° = 175°50'45″ = 0.073 rad
What is the domain of the relation [(x,y):y=x(x-3)/(x+4)(x-7)
Answer:
i think its b
Step-by-step explanation:
) Encuentra dos números consecutivos cuya suma sea 57.
Answer:
k
Step-by-step explanation:
k
what do i need to subtract from 83/10 to make 8
Answer:
0.3
Step-by-step explanation:
Let x be what you need to subtract
[tex]\frac{83}{10} = 8.3[/tex] Plug x in: 8.3 - x = 8Re-arrange: 8.3 - 8 = x8.3 - 8 = 0.3So, you need to subtract 0.3 from 83/10 to make 8.I hope this helps!
Answer:
3/10
Step-by-step explanation:
83/10 - 3/10 = 80/10 = 8
The table gives the results of a survey of 1000 people about reducing industries' carbon emissions. Favor Oppose No Opinion TotalDemocrat 320 150 50 520Republican 125 345 10 480Total 445 495 60 1000If the group surveyed represents the people of the United States, what is the probability that a citizen selected at random will favor reducing industries' carbon emissions, given that the person is a Republican? (Enter your probability as a fraction.)
Answer:
1 / 8
Step-by-step explanation:
Given the data
_____Favor __Oppose__ No Opinion__Total
Demo 320___ 150 ______50 _______ 520
Repub 125___ 345 _____ 10 _________480
Total 445 ___495 ______60 ________ 1000
what is the probability that a citizen selected at random will favor reducing industries' carbon emissions, given that the person is a Republica
From the table provided :
n(favor n republican) / n(Total)
Number of republican who are in favor = 125
Total number of persons = 1000
Hence,
125 / 1000
= 1/8
Sarah earns $9 an hour at a Mort’s Pizza Palace, working 20 hours per week. She spends $3 each week for snacks at work, but saves all her other earnings. How many hours must Sarah work to buy a new phone that costs $150?
Answer:
15h
Step-by-step explanation:
Answer:
17 hours
Step-by-step explanation:
she needs 150, she spends 3 and she makes 9 per hour
153/9 = 17
y = 3x - 12x +9
In standard form?
Answer:
y=-9x+9
Step-by-step explanation:
There are only two like terms in the equation which I have underlined.
y= 3x - 12x +9
To simplify it, you combine the like terms and get your equation in standard form.
Aisha divides 15 meter of ribbon into 2 equal pieces.
What is the length of each piece of ribbon?
Answer: 7.5 meters
Step-by-step explanation:
Please help it’s due tonight and my online teacher don’t help me or teach me please!!! ♥️
Answer:
x=4
Step-by-step explanation:
A+B=C
A^2+X=C^2
12^2+X=24^2
144+X=576
/144 /144
x=4
Matea spent $15.00 on protein bars and sports drinks. Each bar cost $3.00 and each sports drink cost $1.50. Which equation represents the number of protein bars, p, and the number of sports drinks, s, Matea could have bought?
A. p+s=15
B. p+s=4.50
C. 1.5p+3s=15
D. 3p+1.5s=15
Answer:
D
Step-by-step explanation:
The correct equation which represents the number of protein bars, p, and the number of sports drinks, s, Mateo could have bought is,
⇒ 3p + 1.5s = 15
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Matea spent $15.00 on protein bars and sports drinks.
Each bar cost $3.00 and each sports drink cost $1.50.
Now,
Let the number of protein bars = p,
And, the number of sports drinks = s
So, We can formulate;
The correct equation which represents the number of protein bars, p, and the number of sports drinks, s, Mateo could have bought is,
⇒ $3p + $1.5s = $15
⇒ 3p + 1.5s = 15
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what is the quotient of -45/-5
Answer:-9
Step-by-step explanation:
-9
Answer:-45 -5
Step-by-step explanation:
Evaluate the function at the given value
f(x) = 4.753(0.9421)^x
x = 5
Answer:more info pl
Z
Step-by-step explanation: