david is 5 years older than jonathan. in 6 years, double jonathans age added to quadruple davids age will equal to 128. what is each of their current ages?

Answer:

16

Step-by-step explanation:

4*4

Answer:

2

Step-by-step explanation:

Answer:

C = $30 + $15h

Step-by-step explanation:

Given that:

Hourly rate = $15

One time fee = x

Amount charged for an hour of service = $45

Hence,

One time fee + $15* 1 = $45

One time fee = $45 - $15

One time fee = $30

Hence, total charge C for h hours of landscaping:

Total charge = one time fee + (hourly charge * number of hours)

C = $30 + $15h

Answer:

x=2

length y = 4

angle Z = 45

Step-by-step explanation:

x^2 = 2x^2 - 4

put like terms on same sides, lets subtract x^2 to both sides

0 = x^2 - 4

add 4 to both sides

4 = x^2

square root of 4 = 2

x=2

since it is a square, we know all sides are the same length (proof also shown) so y is equal to the other side x^2

y = x^2

y = 4

Angle Z is 45 degrees, because a square has all right angles that are 90 degrees, but a diagonal evenly splits angle into two 45 degree parts.

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Answer:

Step-by-step explanation:

Solve for

x

by simplifying both sides of the equation, then isolating the variable.

Exact Form:

x

=

81

2

Decimal Form:

x

=

40.5

Mixed Number Form:

x

=

40

1

2

Answer:

x = 81/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

2/3x = 27

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 27 does indeed equal 27.

∴ x = 81/2 is the solution to the equation.

Answer:

a) y = 400(0.75) ^x

b) Exponential Decay

Step-by-step explanation:

An adult can take 400 mg of ibuprofen. Each hour, the amount of ibuprofen decreases by 25%.

a. Write an equation of this exponential situation for the total amount of ibuprofen, y, in terms of the number of hours, x.

This situation above is an exponential decay situation.

The forms is given as

y = a(1 - r) ^x

Where

y = the total amount of ibuprofen

a = initial amount of ibuprofen = 400mg

r = Decay rate = 25%

x = Time in hours

Hence, the Equation is written as

y = 400(1 - 0.25) ^x

y = 400(0.75)^x

b. Does this situation represent exponential growth or decay? Explain how you know

This situation represents an exponential decay because we are told in the question that each hour, the amount of ibuprofen DECREASES by 25%. Decrease in this context means Decay.

Answer:it would be 1:2

Answer:

1 : 2

Step-by-step explanation:

2 : 4

A ratio is another way of expressing a fraction. Hence, if one divides both sides by the same number, it will be the equivalent of one reducing a fraction, and it will still be equivalent to the original value. Hence, to reduce this ratio; divide both sides by 2

1 : 2

Answer: B

Step-by-step explanation   :}

1 gallon = 30 milles

×5

=5 gallon = 150 milles

×10

=10 gallon =300 milles

Answer:

1 gallon = 30 milles

×5

=5 gallon = 150 milles

×10

=10 gallon =300 milles

Step-by-step explanation:

1 gallon = 30 milles

×5

=5 gallon = 150 milles

×10

=10 gallon =300 milles

Answer:

x = 0, -4 and -3.

Step-by-step explanation:

The given expression is "3x to the power of 3 + 21x squared + 36x = 0".

We can write this expression as follows :

[tex]3x^3+21x^2+36x=0[/tex]

Taking 3x common.

[tex]3x(x^2+7x+12)=0\\\\3x=0\ \text{and}\ (x^2+7x+12)=0[/tex]

x = 3

[tex]x^2+7x+12=0\\\\x^2+3x+4x+12=0\\\\x(x+3)+4(x+3)=0\\\\(x+4)(x+3)=0\\\\x=-4,-3[/tex]

Hence, the solution of the given quadratic equation are x = 0, -4 and -3.

Answer:

165

Step-by-step explanation:

you need to x it

Answer:

C or A

Step-by-step explanation:

I think that it is most likely C but you could try A to

Answer:

x = 12

Step-by-step explanation:

what you have to do is cross multiply::

3x = 36

and then single the x out

x = 12

Answer:

(100,1) (50,2) (25,4) (20,5) (10,10)

Step-by-step explanation:

Given

[tex]V = l * w * h[/tex]

[tex]h = 10cm[/tex]

[tex]V = 1000cm^3[/tex]

Required

Determine the possible values of l and w

We start by substituting 1000 for V and 10 for h in t he given formula

[tex]V = l * w * h[/tex]

[tex]1000 = l * w * 10[/tex]

Divide both sides by 10

[tex]100 = l * w[/tex]

Reorder

[tex]l * w = 100[/tex]

This implies that when the value of l and w are multiplied together, the result is always 100.

Possible values of (l,w) are: (100,1) (50,2) (25,4) (20,5) (10,10) and many more

Answer:

h=1.3056 m

Step-by-step explanation:

L=2.5m

w=L(1 + 9/16)

w=2.5(1 + 9/16)=[tex]\frac{125}{32}[/tex] m=3 [tex]\frac{29}{32}[/tex]m

v=Lwh

12.75m³=(2.5m)([tex]\frac{125}{32}[/tex]m)h

12.75m³=(9.765625m²)h

[tex]\frac{12.75m^{3} }{9.765625m^{2} }[/tex]=h

h=1.3056 m

Answer:

3 3/16

Step-by-step explanation:

If:

Length= 2 1/2

Width=2 1/2 divided by 1 9/16= 1 3/5

Volume=12 3/4

So then, 2 1/2 times 1 3/5=4

12 3/4 divided by 4= 3 3/16

Done!

Answer:

See below!

Step-by-step explanation:

Only the first choice is accurate.

The second choice is incorrect since it doesn't accurately represent the situation described.

The third choice is incorrect since it also doesn't accurately represent the situation described.

The fourth choice is incorrect since the equation is meant to show the cost of the pies, not the size.

While the fifth choice is correct in that the second equation is accurate, the reasoning is inaccurate.

Answer

Only option 1 is correct

Answer:6

Step-by-step explanation:

-4xy

-4(1/2)(-3)

-4(-1.5)

6

Answer:

I am gonna assume 4.

Step-by-step explanation:

As we can see the more people who rent out a lane, there are more people bowling.

The statement is best supported by the scatterplot is D. There is a positive linear association between the number of lanes rented and the number of people who bowl.

Suppose we're measuring something whose values are numeric. For each value of that thing we observe, we plot a dot above that value in the number line. Thus, the total number of dots in the dot plot tells us the total number of observations of the values of that thing.

Given that daily attendance at a bowling alley was recorded for 15 days.

The scatterplot represents the number of lanes rented each day and the number of people who bowled that day.  

By looking at the scatter plot graph we will have that there is a positive linear association between the number of lanes rented and the number of people who bowl.

The statement is best supported by the scatterplot is D. There is a positive linear association between the number of lanes rented and the number of people who bowl.

Learn more about dot plot here:

https://brainly.com/question/22746300

#SPJ2

Answer:

The correct answer is...

Fernando incorrectly found the product of –2 and –5.

I hope this helps! Have a nice day!

[tex]\frac{641}{1000}[/tex]  If you read the decimal and the fraction, it both reads 651 thousandths. So, therefore this is the correct answer

Answer:

651/1000

Step-by-step explanation:

The decimal reads 651 thousandths so 651 would be your numerator and 1000 would be your denominator. The fraction is not reduceable.

Answer:

Ricardo will have to pay $1776 at the end of the loan period.

I know this because if you multiply 12% to 1850 you get 222.

Now you multiply 222 to 8 which gives you an answer of 1776.

Hope this helps. :)

Answer:

it very simple actually, just do it what its saying from any point it wont really matter youll still get it right

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

From the given information:

Let consider p to be the total numbers of the cookies

If there are 1000 chocolate chips in the jar;

The number of chocolate chips if we remove one chocolate chips = 1000 -1

= 999

The number of available choco chips on each cookie except for the one having an extra chocolate chip = 999/p

Thus, to achieve a whole number, p is required to be a factor of 999

By factorization of 999, we get:

36 > p > 12;  Thus, the value for "p" lies between 36 and 12, and which must be by 999 is 27

Thus, the number of cookies in the jar "p"= 27

However, the number of chocolate chips on with the extra chocolate chip

= 999/p + 1

= 999/27 + 1

= 37 + 1

= 38

Thus, the sum of the number of cookies in the jar +  the number of chocolate chips on with the extra chocolate chip

= 27 + 38

= 65

Answer:

1.# = 119.2 2.# = 869.545454545 3.# = 443.66666666 4.# = 13501.3939394

Step-by-step explanation:

i don't know about the 2 one and 3 and 4 one that came up a very big number. I used a calculator though.exactly way you tired to tipe it in sorry it took so long to answer the problem!!!.

Answer:

40

Step-by-step explanation:

This can be solved by changing the percentage to a decimal number, then multiplying by 160.

0.25×160=40

Answer:

-13, -15, -17, -19, -21

Step-by-step explanation:

keep going but just add two :)

Answer:

45 miles

Step-by-step explanation:

Use the Pythagorean Theorem. Imagine a line connecting the ends of the right angle you made by driving. It would make a right triangle. You are trying to find the hypotenuse. Use the formula [tex]a^{2} +b^{2} =c^{2}[/tex]. Square 27, or multiply 27 by 27, to get 729. Add this to the square of 36, 1296. So [tex]c^{2}[/tex] = 2025. Find the square root of 2025. [tex]\sqrt{2025}[/tex] = 45. Hope this helped ^^

Answer:

6

Step-by-step explanation:

because 6 has the highest value of square