help with math homework?​

Answer:

2029

Step-by-step explanation:

We can write an equation:

0.28+0.006x=0.51

A few things explained:

The constant 0.28 comes from the fact in 1990, 28% of babies were born to parents who were not married. 28%=0.28

0.006 represents 0.6% and x represents the number of years will pass until 49% of babies will be born out of wedlock

0.51 represents 51%. 51% represents the percentage of babies who will be born to parents not married (100% - 49%=51%). You want to use 51% instead of 49% because the right side represents the babies born to parents not married.

We can solve the equation:

0.28+0.006x=0.51

0.006x=0.23

x=38.33

Since you can't have 38.3333 years, we'll say that 39 will pass until 49% of babies are born out of wedlock.

So, we add 39 years to 1990.

1990+39=2029

Hope this helps!

Answer:

AB = 40 units

Step-by-step explanation:

Given:

AC = 6 x - 2

AB = 2 x + 12

BC = 3 x

Find:

AB

Computation:

Assume, AC is a straight line

So,

AC = AB + BC

6 x - 2 = 2 x + 12 + 3 x

6 x - 5 x = 14

x = 14

AB = 2 x + 12

AB = 2 (14) + 12

AB = 40 units

Answer:

Distributive property

Step-by-step explanation:

3*$0.40 + 5*$0.40 = (3+5)*$0.40

answer is distributive property

Step-by-step explanation:

hope this answer helps :)

Answer:

27, 38, and 51

Step-by-step explanation:

3, 6, 11, 18, ...

We increase the first number by 3.  Then 5.  Then 7.

The pattern is that the difference increases by 2.

That means this is a quadratic sequence.

y = x² + 2, where x = 1, 2, 3, etc.

The next three numbers are 27, 38, and 51.

Answer:

=3²+2×8

=9+2×8

=9+16

=25

PROVED!!

Answer:

[tex]\Huge \boxed{42x+7} \\ \\ \\ \Huge \boxed{x+18}[/tex]

Step-by-step explanation:

Part 1:

[tex]7(6x + 1)[/tex]

Distribute 7 to the terms in the brackets.

[tex]7(6x)+7(1)[/tex]

[tex]42x+7[/tex]

Part 2:

[tex]4+(14+x)[/tex]

Removing brackets.

[tex]4+14+x[/tex]

Combining like terms.

[tex]18+x[/tex]

Answer: $14,912.5

Step-by-step explanation:

given data:

thomas salary in 2017 = $68,000

exemption = $8,350

solution:

thomas taxable income

= salary in 2017 - tax exemptions

= $68,000 - $8350

= $59,560

federal income tax = 25%

= 0.25 * $59,560

= $14,912.5

thomas Owe’s $14,912.5 in federal Income tax at the end of the year.

Answer:

Domain: [tex](-\infty,\infty)[/tex]

Range: [tex][-5,\infty)[/tex]

C

Step-by-step explanation:

Please refer to the graph.

Recall that the domain is the span of x-values covered by the graph, while the range is the span of y-values covered by the graph.

So we have the equation.

[tex]y=(x+3)^2-5[/tex]

This is a quadratic.

The domain of a quadratic is all real numbers. If you look at the graph, we can also see that the x-values will go on infinitely in both direction.

In interval notation, this is:

[tex](-\infty,\infty)[/tex]

For the range, note that the lowest the parabola goes is y=-5.

Therefore, our range is all values greater than or equal to -5.

In interval notation, this is:

[tex][-5,\infty)[/tex]

Note that we use brackets for the -5 because it is included in our range.

So, our answer is C

Answer:

Step-by-step explanation:

the domain and range of  y = (x+3)^2 - 5

Doman: (-∞,∞). {x|x∈R}

Range:{-5,∞),{y|y≥-5}

the solution is C

Answer:

0.388

Step-by-step explanation:

7/9 x 1/2 = 0.388

Answer:

18 yards

Step-by-step explanation:

Let's set up a proportion using the following setup.

inches / yards = inches / yards

We know the scale is 1 inch to 6 yards.

1 inch / 6 yards = inches / yards

We know the model plane is 3 inches tall, but we don't know how tall the real plane is. Therefore, we can it is 3 inches to x yards.

1 inch / 6 yards= 3 inches / x yards

1 /6= 3/x

Cross multiply. Multiply the numerator of the first fraction by the denominator of the second. Then, multiply the denominator of the first by the numerator of the second.

1*x= 6*3

1x= 6*3

x= 6*3

x=18

x= 18 yards

The real plane is 18 yards.

Answer:

-2p+1

Step-by-step explanation:

-4p+2p+(-2)+3

-2p+1

The equivalent expression of the expression {-4p+(-2)+2p+3}−4p+(−2)+2p+3 is -4p+2.

An expression is a combination of numbers, variables, function, indeterminants, symbols like addition, multiplication, subtraction and division. It is not usually present in equal to form.

We have been given one expression {-4p+(-2)+2p+3}−4p+(−2)+2p+3 and we have to find the equivalent expression by solving the expression.

First we need to put appropriate signs by solving brackets and the expression will look like after opening brackets and after opening of brackets the signs may change:

=-4p-2+2p+3-4p-2+2p+3

=-4p+2p-4p+2p-2+3-2+3

=-4p+2

Hence the equivalent expression of {-4p+(-2)+2p+3}−4p+(−2)+2p+3 is -4p+2.

Learn more about expressions at https://brainly.com/question/723406

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Answer:

Step-by-step explanation:

this problem is a unit conversion problem

In this problem, we are expected to convert from feet/min to miles per hour

given that the rate is 1760 feet per minute

from tables, we are given that

1 foot per minute is  0.011 miles per hour hence

1760 feet per minutes will give x miles per hour

cross multiplying we have

x= 1760*0.011

x= 19.36 miles per hours

Answer:

i) 3/4

ii) 1/3

iii) 1/3

iv) 5/6 cents

Step-by-step explanation:

Any ratio can be written as a fraction.

For example 3:4 can be writen as 3/4 or 14:42 as 14/42.

After you convert them to fractions you then simplify them by finding their highest common factor (HCF) and then divide both numerator and denominator by the HCF. When you cant simplify the fraction anymore, that is the fraction in its lowest terms.

Answer:

4 units ; counter clockwise ; 2.09 units

Step-by-step explanation:

Given the following :

x = 4 cos 3t

y = 4 sin 3t

The Radius (r) could be obtained using Pythagoras:

R = √(x^2 + y^2)

R = √[(4cos3t)^2 + (4sin3t)^2]

R = √[16cos^(2)3t + 16sin^(2)3t]

Recall : cos^2θ + sin^2θ = 1

Therefore, cos^(2)3t + sin^(2)3t= 1

Where, 3t stands for θ

R = √[16cos^(2)3t + 16sin^(2)3t]

Factorizing:

R = √16[cos^(2)3t + sin^(2)3t)]

R = √16[1]

R = √16

R = 4 units

Position at time t = 0

x = 4 cos 3(0)

x = 4 cos 0

x = 4 * 1 = 4 units

y = 4 sin 3t

y = 4 sin 3(0)

y = 4 * sin 0

y = 0

Position at t = 0;

(x, y) = (4, 0) = counterclockwise

Time taken to complete 1 complete revolution:

2π/3 = 6.2831853 /3 = 2.0943951

= 2.09

Answer:

9.256×10^−12

Step-by-step explanation:

to get standard notation we have a number less ten.

since it is a very small number it has a negative exponent

Answer:

$133.40

Step-by-step explanation:

First you have to find 15% of 29 which is 4.35. The way I figured this out was 10% of 29 is 2.9 and 5% of 29 is 1.45 and 2.9 + 1.45 = 4.35.

Then you want to add 4.35 to 29 which equals 33.35, her new hourly pay. Multiply 33.35 by the 4 hours she is working and you end up with $133.40.

Answer:

Step-by-step explanation:

The confidence interval boundaries is represented mathematically as shown below;

CI = p±E where;

p is the percentage of people surveyed

E is the margin of error

Given parameters

p = 40% = 0.4

E = 3.1% = 0.031

Required

Confidence interval corresponds to the given information.

Substituting the given parameters into the given formula:

CI = p±E

CI = 0.4±0.031

CI = (0.4-0.031, 0.4+0.031)

CI = (0.369, 0.431)

Hence the confidence interval that corresponds with the information is 0.369≤[tex]\mu[/tex]≤0.431.

Answer: (36 - 1) ÷ (3 + 2) + 13 = 20

Step-by-step explanation:

PEMDAS rule calls for parenthesis to be solved first, then exponents, then multiplication or division then addition or subtraction depending on which comes first in the equation.

Using the PEMDAS rule the 20 can be gotten to if the equation is expressed as follows;

(36 - 1) ÷ (3 + 2) + 13 = 20

The parenthesis will be solved first;

35 ÷ 5 + 13 = 20

The division will be done first;

7 + 13 = 20

Then the addition;

7 + 13 = 20

Answer:

$160, basic multiplication ^^

Step-by-step explanation:

20×8=160

Answer:

$20 x 8

=$160

Multiplication

Hope it helped u if yes mark me BRAINLIEST pzllzllzl

Answer:

8-1-4=8-1-4=3

Step-by-step explanation:

Order of operations: solve inside the absolute value first. 21-13-9=8-9=-1. The absolute value of -1 is 1.

Step-by-step explanation:

When two letters are right next to each other, you multiply them. Since a and b are next to each other, we multiply them together.

[tex]A=\frac{5}{12}[/tex]

[tex]B=\frac{1}{3}[/tex]

To multiply fractions, you place them next to each other and multiply across.

[tex]\frac{5}{12}*\frac{1}{3} \\5*1=5\\12*3=36[/tex]

Our final answer:  [tex]\frac{5}{36}[/tex] (we cannot simplify it any further)

Since Lydia studied for 5 days

Then it will be 5*15=75 minutes in 5 days

Answer:

We use the rule of three

7 miles ---------------> 60 minutes

So x ------------------> 24 minutes

So x= (24 minutes × 7 miles )/60 minutes .

We simplify by 《minutes》 because it's in the numerator and the denominator .

So x= (24×7 miles )/60

x = 168 miles /60

x=2,8 miles

So Miguel runs 2,8 miles in 24 minutes.

Answer:

D) P = 80 feet, A = 360 square feet

Step-by-step explanation:

Perimeter=15+20+17+8+20=80 feet

Area=(15*20)+(1/2*8*15)=300+60=360 square feet

Answer:

773/1000

Step-by-step explanation:

[tex]x = 0.773 \\ \\ x = \frac{773}{1000} \\ [/tex]

Answer:

(5y)x

Step-by-step explanation:

the commutative law of multiplication=ab=ba, a(bc)=c(ab)

(5x)y=(5y)x=5(xy)

Answer:

1, 2, 3, 6

Step-by-step explanation:

Answer:

A sudents who take gym class

Step-by-step explanation:

the survey only asks for all the students enrolled in a gym class so they can compare with the data for all the students enrolled in the football team

Answer:

a

Step-by-step explanation:

Answer:

4/5 = 80/100 = 80%

4/5 = 0.8