Answer:
1. 50%
2. 400
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]
Re-write the equation in slope-intercept form: 5x + 4y = 20
Answer:
y=5-5/4x
Step-by-step explanation:
slope-intercept form: y=mx+b (m= slope, b= y-intercept)
5x + 4y = 20
4y=20-5x
simplify
y=5-5/4x
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
A group of circus bears made a pyramid. 3 bears fell of the top, leaving 3 on the bottom. How many bears made the pyramid?
Answer:
6, right?
Step-by-step explanation:
Please Help Asap thank you soo much god bless you
1) x ≤ 30
2) 5x + 2x ≥ 14
3) xy ≤ 4
4) y - 5 < 20
Step-by-step explanation:
please mark me as brainlest
if two dice are rolled one time, find the probability of getting a sum less than or equal to 4
Answer:
The probability of getting a sum less than or equal to 4 is 1/6.
Step-by-step explanation:
When two dices are rolled, the number of outcomes are: 6*6 = 36 which is written in ordered pairs consisting of outcome of both dices.
When two dices are rolled, the number of sample space elements is:
[tex]n(S) = 36[/tex]
Let A be the event that the sum of outcomes is less than or equal to 4:
[tex]A = \{(1,1),(1,2),(1,3),(2,1),(2,2),(3,1)\}[/tex]
That implies
[tex]n(A) = 6[/tex]
The probability of getting sum less than or equal to 4 will be:
[tex]P(A) = \frac{n(A)}{n(S)} = \frac{6}{36} = \frac{1}{6}[/tex]
Hence,
The probability of getting a sum less than or equal to 4 is 1/6
The probability of getting a sum less than as well as equivalent to 4 will be "[tex]\frac{1}{6}[/tex]".
Probability:The probability that may be an outcome will happen together in random experiment. The greater the likelihood of such an occurrence, the further probable it will materialize.
Let,
The event that the sum less than as well as equivalent to 4 be "A".
According to the question,
Whenever the 2 dices are rolled, the no. of outcomes will be:
= 6 × 6
= 36
and,
The no. of sample elements will be:
n(S) = 36
Now,
A = {(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (3, 1)}
The probability be:
→ P(A) = [tex]\frac{n(A)}{n(S)}[/tex]
= [tex]\frac{6}{36}[/tex]
= [tex]\frac{1}{6}[/tex]
Thus the response above is correct.
Find out more information about probability here:
https://brainly.com/question/24756209
20. John Navarro is a salesperson in the appliance department at Morris
Appliance, Inc. He is guaranteed a minimum salary of $185 per week, or
5.5 percent of his total sales—whichever is greater. What is his gross pay
for a week in which his total sales were $3,422?
Answer:
$373.21Step-by-step explanation:
Step one:
weekly pay = $185
commission= 5.5% of sales= 0.055
let the sale be x
and his gross pay be represented by y
hence the expression for the total/gross pay is
y=0.055x+185
Step two:
Required is the gross pay y for x=3422
substituting we have
y=0.055*3422+185
y=188.21+185
y=373.21
Hence for a sale of $3,422 made his gross pay is $373.21
If the temperature changes - 5/8 degrees per hour for 8 hours, what is the total change in temperature?
Answer:
I think it is 5.
Step-by-step explanation:
5/8 in decimal form is 0.625. 0.625 x 8 = 5. I hope this helps/ sorry if it didn't.
Round your answer to tenth place. A park has a triangular sandbox. Todd wants to create a smaller sandbox at his backyard having the same angles as the park sandbox. Drawings of both sandboxes are shown. 14 ft 18 ft 20 ft Park Sandbox 8 ft Todd's Sandbox What is the perimeter, in feet (ft), of Todd's sandbox? DOLL
No picture given for this problem. Repost.
Express each sum in sigma-notation
1 + 1/4 + 1/9 + 1/16 + ... + 1/400
9514 1404 393
Answer:
[tex]\displaystyle\sum\limits_{n=1}^{20}{\dfrac{1}{n^2}}[/tex]
Step-by-step explanation:
We notice that the denominator of each term is the square of the term number, so the last term must be the 20th. The sum is then ...
[tex]\displaystyle\sum\limits_{n=1}^{20}{\dfrac{1}{n^2}}[/tex]
A communications tower is supported by two wires, connected at the same point on the ground. One is attached to the tower at D and the long-on at C. The angle AD makes with the ground is 30 ° and the angle between the two wires is 10 °. How much below the top of the tower is the shorter one attached?
Answer:
10.99 m
Step-by-step explanation:
✍️What we are basically asked to solve here is to find the distance between C and D.
To find CD, find the length of BC, and BD. Their difference will give us CD.
Thus, BC - BD = CD.
✍️Finding BC using trigonometric ratio formula:
[tex] \theta = 30 + 10 = 40 [/tex]
Opposite side = BC = ??
Adjacent side = 42 m
Thus:
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Plug in the values
[tex] tan(40) = \frac{BC}{42} [/tex]
Multiply both sides by 42
[tex] tan(40) \times 42 = \frac{BC}{42} \times 42 [/tex]
[tex] 35.24 = BC [/tex]
BC = 35.24 m
✍️Finding BD using trigonometric ratio formula:
[tex] \theta = 30 [/tex]
Opposite side = BD = ??
Adjacent side = 42 m
Thus:
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Plug in the values
[tex] tan(30) = \frac{BD}{42} [/tex]
Multiply both sides by 42
[tex] tan(30) \times 42 = \frac{BD}{42} \times 42 [/tex]
[tex] 24.25 = BD [/tex]
BD = 24.25 m
✍️How much below the top of the tower is the shorter one attached:
Thus,
BC - BD = CD
35.24 m - 24.25 m = 10.99 m
What is the sign of the product (–5)(–3)(–8)(–6)? Positive, because the products (–5)(–3) and (–8)(–6) are negative, and the product of two negative numbers is positive Positive, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is positive Negative, because the products (–5)(–3) and (–8)(–6) are negative, and the product of two negative numbers is negative Negative, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is negativeWhat is the sign of the product (–5)(–3)(–8)(–6)? Positive, because the products (–5)(–3) and (–8)(–6) are negative, and the product of two negative numbers is positive Positive, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is positive Negative, because the products (–5)(–3) and (–8)(–6) are negative, and the product of two negative numbers is negative Negative, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is negative
Answer:
The sign is positive.
Step-by-step explanation:
(-5)(-3)
= 15 (double negative)
15(-8)
=-120 (positive negative)
(-120)(-6)
= 720 (negative negative)
Therefore, the sign of the answer is positive.
Hope this helped!
Answer:
The sign is postive
Step-by-step explanation:
(-5)(-3)
= 15 (double negative)
15(-8)
=-120 (positive negative)
(-120)(-6)
= 720 (negative negative)
y = 12 • 3x for x = –2
Answer:
y=-72
Step-by-step explanation:
3(-2) = -6, y=12 times -6, y= -72
(I'LL BE GIVING BRAINLIEST AND EXTRA POINTS TO WHO EVER HELPS ME!! :D)
Terri buys five and seven eighths ounces of chocolate chips. She uses four and four sixths ounces in a recipe. How many ounces of chocolate chips does she have left?
A) one and ten forty eighths ounces
B) one and three fourteenths ounces
C) two and ten forty eighths ounces
D) two and three fourteenths ounces
(Here is an image if needed) :
find gcd of (510,92)
Answer:
The GCD of 510 and 92 is 2
Step-by-step explanation:
510 : 2 = 255
510 : 3 = 170
510 : 4 = 127.5
92 : 2 = 46
92 : 3 = 30.6667
92 : 4 = 23
hope this helps!
12*PLEASE ANSWER FAST!!!!!!!!
what i the answer and why this is for my little brother
Answer:
C, 1 1/14
Step-by-step explanation:
You would convert 1/2 to 7/14 and convert 4/7 to 8/14. You can now add them together, and once you do you get 15/14. You can now simplify, giving you your answer of 1 1/14.
Find the value of P for which the inflows will equal the outflows. Find the effective rate first.
Rate 8% p y c d
Year Outflows Inflows
0 -P
1 -2P
2 -4P
3 -8P
4 -16P
5 $24,000
6 $30,000
7 $36,000
8 $42,000
9 $48,000
10 $54,000
Answer:
The answer is "p= $5,246".
Step-by-step explanation:
Using formula:
Present value of [tex]\frac{in-flow}{out-flow}[/tex] = cash-flow [tex]\times[/tex] present value of discounting factor(rate %, time period)
[tex]\to -p-\frac{2p}{1.08}-\frac{4p}{1.08^2}- \frac{8p}{1.08^3}-\frac{16p}{1.08^4} =\frac{24000}{1.08^5}+ \frac{30000}{1.08^6}+ \frac{36000}{1.08^7} + \frac{42000}{1.08^8}+ \frac{48000}{1.08^9}+ \frac{24000}{1.08^{10}}\\\\[/tex]
[tex]\to -p[1+\frac{2}{1.08}+\frac{4}{1.08^2}+ \frac{8}{1.08^3}+\frac{16}{1.08^4}] = 127960.43169\\\\\to -p[24.3923427] = 127960.43169\\\\\to -p = \frac{127960.43169}{24.3923427}\\\\\to p= 5245.93\\\\\to p= 5246[/tex]
Place the following fractions and decimals in order from least to greatest:
12/5
3 1/3
3 1/6
3.09
Answer:
.09,1/6,1/3,2/5
Step-by-step explanation:
Answer: 12/5, 3.09, 3 and 1/6, 3 and 1/3
Step-by-step explanation: 12/5 is only equal to 2.4, so thats smallest. 3.09 is smaller compared to fractions.
tip: the bigger the bottom number on a fraction is, the smaller the number is. ex: 1/5 is actually a bigger number than 1/10
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:
heidi subtract 9 from 17. first she adds to get 10.then she added again to find her answer is heidi correct Heidi is not correct to add blank then you add blank more to get 10 to 17 the answer is
Answer:
Heidi wants to compute:
17 - 9.
First, she adds to get 10, (we want to subtract 10, this is easier than subtracting 9) then she can do:
17 - 9 + 0
adding zero does not change the sum
1 - 1 = 0
then:
17 - 9 + 0 = 17 - 9 + 1 - 1
Now we can do:
17 - 9 - 1 + 1
17 - (9 + 1) + 1
17 - 10 + 1
(17 - 10) + 1
7 + 1 = 8
Then, first she needs to add -1, in order to subtract 10, and then she must add 1. As we added a number and its inverse, in total we added zero, so the sum did not change, but was easier to compute.
Then, you need
what weight of flowers will each person get if 3 people share 1/3 lb of flower equally??
Answer:
Personally, I think 1/9 lb.
<Plis choose me as brainliest!>
(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] =
Answer:
It may be 220 9/23. If it's wrong sorry lol.
Step-by-step explanation:
16.9 and 1.7 and 0.17 and 2.0 rounded up to the nearest whole number
Answer:
17, 2, 0, 2
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
16.9 + 1.7 + 0.17 + 2.0 = 20.77 rounded to the nearest whole number is 21.
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.
For more references on equation, click;
https://brainly.com/question/10413253
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What are the respective coefficients when the equation is balanced with the smallest whole number integer values?
Answer: That would be 4,3,2
Step-by-step explanation: Hope this helps
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.
Write and solve an equation to find the value of x. PLS HELP!!
Answer:
23.59 - 14.89 = x
x = 8.7
Step-by-step explanation:
To find x, you need to add all of the other sides and subtract it from the perimeter. 5.62 + 5.62 + 3.65 = 14.89.
23.59 - 14.89 = x, so x = 8.7
Answer:
8.7
Step-by-step explanation:
Add all the numbers together (5.62, 5.62, and 3.65) then take away from the result (23.59) to get answer.
A shirt is on sale for 30%
off. It's original price was
$20. How much money
would someone save if
they bought the shirt?
Answer:
$6
Step-by-step explanation:
Answer:
it would be a 14$ t-shirt there for you save 6 dollars.
Step-by-step explanation:
do the math in a calculator. :D
Which triangles are congruent by ASA? *
Answer:
The correct answer is B. ΔVTU and ΔABC
Step-by-step explanation:
I took the test hope this helps :)