2. Pat is six years older than twice his Cousin Zach’s age. The sum of their ages is less than 36.

What is the greatest age that Zach could be?

Answers

Answer 1
P = Pat
C = Cousin Zach

2C + 6 = P
2C + 6 - 6= P - 6
2C = P - 6
2C/2 = P - 6/2
C = P - 3
C + 3 = P
so (C + 3) + P < 36
 (C + 3 - 3) + P < 36 - 3
C + P < 33

Can you see what I am doing?


Answer 2
Let denote Pat's age with P and Zach's age with Z.
We know the following facts:
1.Pat is six years older than twice his Cousin Zach’s age. We can rewrite this statement as:
P=2*Z+6
2. The sum of their ages is less than 36.
P+Z<36
In order to find the greatest age that Zach could be we should find for which Z 
P+Z=35 (the first whole number smaller than 36) 
P=35-Z
35-Z=2*Z+6
35-6=3Z
29=3Z
Z=29/3
Z=9

Related Questions

Which type of question fits a binomial model? A. fill in the blank B. matching C. multiple choice D. true/false

Answers

The answer would be C. Hope this helped!
Final answer:

The type of question that fits a binomial model is a true/false question, as this type of question strictly limits the outcome to two possibilities - correct or incorrect.

Explanation:

The type of question that fits into a binomial model would be a true/false question. A binomial distribution, in mathematics and statistics, is used to model a number of successes in a sequence of independent and identically distributed binary experiments, such as flipping a coin or indeed, answering a true/false question. These types of questions are considered binomial because there are two possible outcomes: right or wrong, true or false. On the other hand, options like 'fill in the blank', 'matching', or 'multiple choice' doesn't fit the binomial model because they do not strictly limit the outcome to two possibilities.

Learn more about Binomial Model here:

https://brainly.com/question/33930713

#SPJ3

Please help me thank you very much.

Please answer all 4 questions.

Answers

1. HI Because two parallel lines have to be on the same plane and never intersect.

2. Skew means the never intersect and they aren't on the same plane so it is GK and DH

3. Angle 3 corresponds because it is the bottom left and 7 is the bottom left.

4. 3 and 5 are same-side interior because they are both on the left side and both are inside.

Hope this helps!

how can you figure out how many miles you are using on a united fligjts

Answers

surg;h;gvk ntr;hjo
kljhkwrjokbn[vj k
b oel 
jb ij7;
tjsui bhvjghj

How many real solutions does the equation 0.2x^5-2x^3+1.8x+k=0 have when k = 0?

Answers

when k =  we have:-

0.2x^5 - 2x^3 + 1.8x = 0

so x = 0 is one solution 

taking 0.2x out we have:-
0.2x( x^4 - 10x^2 + 9x) = 0

factoring::-

(x^2 - 9)(x^2 - 1) = 0

this  gives x = +/= 3  and x = +/- 1

so there are 5 real solutions

Answer:

It is 5

When Y=1 I got 0

Is there a value of k for which the equation has just one real solution?

I put no

Then for the last one I put Yes

Step-by-step explanation:

Edg 2020

Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.

4t^3+8t

Answers

The greatest common factor is [tex]4t[/tex] (we can see this by factoring it out and noting that there are no more common factors in the polynomial).  Factoring it out of both terms gives:
[tex]4t(t^2+2)[/tex], which is the answer.

What is y=-4x-15 in standard form

Answers

y=-4x-15
4x + y = -15 ...this is standard form

hope it helps

Final answer:

To convert the equation y = -4x - 15 to standard form, you add 4x to both sides to get 4x + y = -15, which aligns with the standard form Ax + By = C.

Explanation:

To convert the equation y = -4x - 15 into standard form, we need to rearrange it such that the x- and y-terms are on one side of the equation and the constant is on the other side, typically with the x term first. The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

The given equation is already close to this form, but we need to get the x-term to the other side of the equation. To do this, we simply add 4x to both sides, giving us:

4x + y = -15

This is the standard form of the given linear equation.

Solve for x: 3x − 5 = 2x + 6.
1
−1
11
−11

Answers

First you want to get the x's on the same side
3x-5=2x+6
subtract 2x and add 5
x=11

Hope this helps!

Answer:

X = 11 sweetheart


PLEASE HELP! I'm so confused!
Hourly employees working more than 40 hr a week are often paid "time and a half" for overtime, any hours beyond 40. In the formula p = wr + 1.5we, gross pay (p) is computed by multiplying the hourly wage (w) by the number of regular hours worked (r[tex] \leq [/tex]40) and adding 1.5 times the product of the hourly wage (w) and the number of extra hours (e) beyond 40. Find your gross pay if you work the given number of hours at the given rate.

40 hr at $8.12/hr

47 hr at $10.92/hr

Answers

ummmm..... 3245.78 per week.

PLZ HELP Simplify the rational expression. State any excluded values. 2x/-5x+x^2

Answers

(2x/-5x)+x^2
(x(2)/(x(-5))+x^2

(-2/5)+x^2, the x values cancel in numerator and denominator and simplify to -2/5

Answer:

The excluded value is x=5.

Step-by-step explanation:

Given : Expression  [tex]\frac{2x}{-5x+x^2}[/tex]

To find : Simplify the rational expression. State any excluded values.      

Solution :

First we simplify the expression,

[tex]\frac{2x}{-5x+x^2}[/tex]

Taking x common from the denominator,

[tex]=\frac{2x}{x(-5+x)}[/tex]

Cancel the common term from numerator and denominator,

[tex]=\frac{2}{-5+x}[/tex]

To find the excluded value we put the denominator equal to zero to get the value of x in which given expression is not valid.

[tex]-5+x=0[/tex]

[tex]x=5[/tex]

Therefore, The excluded value is x=5.

Suppose y varies directly with X

Answers

Direct variation is represented by the following equation:

y = kx

We can use the given (x,y) point to find k.

18 = k * 3

k = 6

Our direct variation is

y = 6x

Now we need x when y = 24.

24 = 6x

x = 4

Please help me solve this equation but show the steps so I can learn how to solve it.

0.25r-0.125+0.5r=0.5+r

Answers

0.25r−0.125+0.5r=0.5+r
0.25r−0.125+0.5r=0.5+r0.25r+−0.125+0.5r=0.5+r(0.25r+0.5r)+(−0.125)=r+0.50.75r+−0.125=r+0.50.75r−0.125=r+0.5
0.75r−0.125−r=r+0.5−r−0.25r−0.125=0.5.−0.25r−0.125+0.125=0.5+0.125−0.25r=0.625
−0.25r−0.25=0.625−0.25r=−2.5Answer:r=−2.5

Y2 + 30 ÷ x - 8 what is the value of the expression when x = 6 and y = 8?

Answers

Assuming that by Y2 you mean 2 * Y (I'd suggest flipping them for organizational purposes), you'd just plug in for the values. 

So 2(8) + 30 ÷ 6 - 8. PEMDAS says we do the multiplication and division first. 
This gives us 16 + 5 - 8 = 13. 

Again assuming Y2 means 2 * Y in your equation, the answer is 13. 
Y2 + 30 ÷ x - 8  i think this y power 2 ??

8 power 2   + 30 ÷  6  -  8  =

64  + 30 ÷  6  -  8  = 

64 +5-  8 =  61 

we use first the power then the multiplication or division and the last addition and subtraction 

A farmer drives a tractor from one town to another, a distance of 120 kilometers. He drives 10 kilometers per hour fast on the return trip, cutting an hour off the time. How fast does he drive each way?

Answers

120/x - 120/(x+10) = 1
120x + 1200 - 120x = x(x+10)
1200 = x^2+10x
x^2 + 10x - 1200 = 0
(x+40)(x-30) = 0
Positive solution:
x = 30 km/hr (rate on the 1st trip)
x+10 = 40 km/hr (rate on the return trip)

There are 84 boys in a senior class of 146 students. find the ratio of boys to girls. (note: if you know the total number of student in the class and the number of boys, what do you need to do to find the number of girls?

Answers

84 to 62. You have to subtract 146-84 to get the number of girls from the class.

For spring break you and some friends plan a road trip to a sunny destination that is 1705 miles away. if you drive a car that gets 39 miles per gallon and gas costs $3.339/gal, about how much will it cost to get to your destination?

Answers

1705/39 = 43.718 gallons
43.718*3.339 = $145.97 

Answer:

$145.98

Step-by-step explanation:

You and some friends plan a road trip to a sunny destination that is 1705 miles away.

You drive a car that gets 39 miles per gallon.

Total gas used in the trip = [tex]\frac{1705}{39}[/tex]

                                          = 43.7179487 ≈ 43.72 gallons

Gas costs per gallon = $3.339

Total cost to get to your destination = 43.72 × 3.339

                                                            = $145.98108 ≈ $145.98

The cost would be $145.98 to get to your destination.

compare discrete domains and continuous domains.

Answers

discrete domains and continuous domains are both sets. However a discrete domain contains a finite number of elements and continuous can contain and infinite number of elements.

1. Is the equation true, false, or open? 9p + 8 = 10p + 7 A. Open; there is a variable. B. True; the expressions are the same for all values of the variables. C. False; the expression are never the same.

Also all the answers in the Unit Test please

Answers

C. False; the expression are never the same

Please help! 20 points!

Answers

Since the object is larger, the dilation can not be negative and less than 1. Therefore, your answer is 1.25 (d). Also, 4 * 1.25 is 5.

divide: 5/4 = 1.25

 answer is 1.25

Can someone help please? Thank you. SHOW ALL WORK.

Answers

question 1. 1) <2 and <5 = Given 2) <3 is congruent to <2 = Vertical angles 3) <3 and <5 are supplementary = same side interior angles 4) L is parallel to M = if two lines are cut by a transversal so that a pair of consecutive interior angles is supplementary, then the two lines are parallel.

question 2. B is incorrect because subraction should have been done instead of addition.

question 3. Line 1 is a horizontal line so the equation of the line for line 1 is Y = 8   Line 2, first solve the slope of the line using points ( -4 , -5) and ( 0, -2)   M = (y1 – y2) / (x1 – x2) M = ( -5 – ( -2)) / ( -4 – 0) M = ¾ Since its y intercept is at ( 0,-2) B = -2 Y = ¾ x -2   For c and d you should give a point at which the line is perpendicular or parallel 




What are the zeros of the polynomial function y = x(x − 6)(x + 3)(x − 11)?

Answers

the roots are shown, x=0,6,-3, and 11

Rename 12,000 ten thousand

Answers

120,000 or twelve thousand 10,000
Final answer:

Renaming 12,000 as 'ten thousand' means expressing it as '1 ten thousand and 2 thousand'. This breaks the number down into units of ten thousand, with 10,000 being the base unit and the additional 2,000 making up the rest.

Explanation:

The phrase 'rename 12,000 ten thousand' refers to the process of expressing the number 12,000 in terms of ten thousand. To do this, we need to understand that the number 10,000 is a base unit in this context, acting as one 'ten thousand'. Therefore, the number 12,000 would be considered as 1 ten thousand and 2 thousand, since 12,000 is made up of one 10,000 and an additional 2,000 units.

To better understand, let's do a breakdown:

10,000 (one ten thousand) + 2,000 (two thousand) = 12,000

We know that:

10,000 is one ten thousand.20,000 is two ten thousands.30,000 is three ten thousands.And so on, up to 160,000, which would be sixteen ten thousands.

In this case, when we want to 'rename' 12,000 as ten thousand, it becomes 1 ten thousand and 2 thousand.

Determine the nature of the roots of the function
f(x)=7x^2+5x-1

Answers

Finding the values of the discriminant:-

b^2 - 4ac  = 5^2 - 4*7 * -1  =  25 + 28  = 53

There will be 2 real roots 

Final answer:

To determine the nature of the roots of the function f(x)=7x²+5x-1, we calculate the discriminant, which is 53. Since it's positive, the equation has two distinct real roots.

Explanation:

The nature of the roots of the quadratic function f(x)=7x²+5x-1 can be determined by calculating the discriminant, which is part of the quadratic formula. The discriminant is given by b² - 4ac, where a, b, and c are the coefficients of the quadratic equation ax² + bx + c = 0. For the given function, a = 7, b = 5, and c = -1. Therefore, the discriminant equals:

D = b² - 4ac

D = (5)² - 4(7)(-1)

D = 25 + 28

D = 53

Since the discriminant is positive (D > 0), the quadratic function has two distinct real roots.

The school store sells packs of 12 pens for $2.40. Which is NOT a unit rate to describe this sale?
A. 20 cents per pen
B. 5 pens per dollar
C. 2.40 dollars per pack of pens
D. 120 pens per 24 dollars

Answers

the answer is D.

120 divided by 24 would not give you the price of ONE pen
 Which is NOT a unit rate to describe this sale?

answer is
D. 120 pens per 24 dollars

A rectangle patio is surrounded on three sides by a fence. If the areas of the patio is 45 m sq and the total of fence is 19m what is the length and width of the patio?

Answers

LW = 45
L + 2W = 19
L = 19-2W

substituting for L :-
W(19-2W) = 45

-2W^2 + 19W = 45

2W^2 - 19W + 45 = 0 
W = 5 or 4.5

If W = 5, L = 9
If W = 4.5, L = 10

So there are 2 possible answers.


BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!

1. A store had 235 MP3 players in the month of January. Every month, 30% of the MP3 players were sold and 50 new MP3 players were stocked in the store.

Which recursive function best represents the number of MP3 players in the store f(n) after n months?

f(n) = 0.7 x f(n − 1) + 50, f(0) = 235, n > 0
f(n) = 237 − 0.7 x f(n − 1) + 50, f(0) = 235, n > 0
f(n) = 0.3 x f(n − 1) + 50, f(0) = 235, n > 0
f(n) = 237 + 0.7 x f(n − 1) + 50, f(0) = 235, n > 0

2. Sophia invested some money in a bank at a fixed rate of interest compounded annually. The equation below shows the value of her investment after x years:

f(x) = 500(1.05)x

What was the average rate of change of the value of Sophia's investment from the second year to the fourth year?

14.13 dollars per year
28.25 dollars per year
50.00 dollars per year
56.50 dollars per year

Answers

Part 1:

Given that a store had 235 MP3 players in the month of January and that every month, 30% of the MP3 players were sold and 50 new MP3 players were stocked in the store.

The number of MP3 players in the store after the previous months sale is given by 0.7f(n - 1) and the number of MP3 players in the store after new MP3 were added is 0.7f(n - 1) + 50.

Therefore, the recursive function that best represents the number of MP3 players in the store f(n) after n months is given by f(n) = 0.7 x f(n − 1) + 50, f(0) = 235, n > 0



Part 2:

The average rate of change of a function from a to b is given by

[tex]average \ rate \ of \ change= \frac{f(b)-f(a)}{b-a} [/tex]

Given that the equation showing the value of her investment after x years is given by

[tex]f(x)=500(1.05)^x [/tex]

Thus, the average rate of change of the value of Sophia's investment from the second year to the fourth year is given by

[tex]Average \ rate \ of \ change= \frac{f(4)-f(2)}{4-2} \\ \\ = \frac{500(1.05)^4-500(1.05)^2}{2} = \frac{607.75-551.25}{2} \\ \\ = \frac{56.5}{2} =28.25[/tex]

Therefore, the average rate of change of the value of Sophia's investment from the second year to the fourth year is 28.25 dollars per year.

1. f(n) = 0.7 x f(n â’ 1) + 50, f(0) = 235, n >= 0 2. 28.25 dollars per year 1. For this problem, let's construct the recursive formula ourselves. We know that f(0) will be 235 since that's the original stock and that n has to be greater than or equal to 0 (n=0 represents the starting stock). So we have f(n) = ?, f(0) = 235, n >= 0 Now each month we sell 30%, so we're left with 70% of the previous month's stock (100% - 30% = 70%). So let's take that into account for our function. f(n) = 0.7 x f(n-1), f(0) = 235, n >= 0 And each month we get another 50 MP3 players. Let's add that into our function. f(n) = 0.7 x f(n-1) + 50, f(0) = 235, n >= 0 And that's our answer. 2. Since we've been given the function f(x) = 500(1.05)^x, let's calculate the amount of money that we have after 2 years and 4 years. f(2) = 500(1.05)^2 = 551.25 f(4) = 500(1.05)^4 = 607.75 Now get the difference in money between those years. 607.75 - 551.25 = 56.50 And since we're talking about a period of 2 years and we want the average rate per year, divide by 2. 56.50 / 2 = 28.25 So the average change from year 2 to year 4 is $28.25 per year.

What is the tangent of angle a?
a. 6/8
b. 8/10
c. 8/6
d. 6/10

Answers

tanA= opposite /adjacent
tan A= 8/6
We know that the tangent is the ratio of the opposite side of the angle and the adjacent side of the angle.

So...

Answer C. 8/6

Solve for x. Show each step of the solution. 4.5(8−)+36=102−2.5(3+24) i need to show my work dont just give me the answer

Answers

4.5 * (8-) + 36 = 102 - 2.5 * 27
4.5 * 8 - 36 = 102 - 2.5 * 27
36 - 36 = 102 - 2.5 * 27
36 - 36 = 102 - 67.5
36 - 36 = 34.5
Since we know 36 - 36 doesn't equal 34.5 its not true so there is NO ANSWER.
4.5(8 - x) + 36 = 102 - 2.5(3x + 24)

36 - 4.5x + 36 = 102 - 7.5x - 60

-4.5x + 72  = 42 - 7.5x
add 7.5x to each side  and subtract 72 from each side

3x  = 42 - 72

3x = -30

which of the following is a linear equation: (a)x2-y2=1 (b)y=3/4-x/2 (c)x2+y2=1 (d)y=3/4+2/x

Answers

The format you wrote them in shows that all of them are linear equations.  Im going to assume that some of the are supposed to be exponent.  

Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.

7x – 4y = 4
x – 4y = 3


A. Perpendicular
B. Parallel
C. Neither

Answers

I think C because parallel lines would have the same gradient or slope. If they were perpendicular the product of their slopes would be -1. Also parallel lines don’t intercept one another, but these equations can be solved for unique x and y which is their point of intersection.

Find the measure of an angle if its measure is 46 degrees less than three times its complement.

Answers

15.3 should be your answer. 
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