Find the constant rate of change.

Chocolate chip cookies cost 6.72 for 3 packages.

Answer:

d(3) = - 25

Step-by-step explanation:

Using the recursive formula with d(1) = 3, then

d(2) = d(1) - 14 = 3 - 14 = - 11

d(3) = d(2) - 14 = - 11 - 14 = - 25

Thus the 3 rd term in the sequence is - 25

Answer:

Step;      This conversion of 10.03 kilometres to hectometres has been calculated by multiplying 10.03 kilometres by 10 and the result is 100.3 hectometres.-by-step explanation:

Step-by-step explanation:

Hey there!!!

Here, ABCD is a parallelogram.

We know that the one property of a parallelogram is:

So,

3x-10° = x+45°

or, 3x - x = 45°+10°

2x = 55°

[tex]x = \frac{55}{2} [/tex]

Therefore the measure of angle x is 27.5°.

Hope it helps....

Answer:

Step-by-step explanation:

We'll make a table for this since we have 2 different trains for which we have formulas. We'll use the distance = rate * time formula, but we have to use it twice because we have 2 trains, then we have to come up with an equation that incorporates both of the distances of the 2 trains to come up with a time. Easy.

                      d           =          r         *          t

East train

West train

Now we can fill in. We know that the rate of the east train is 105 and the rate of the west train is 85, so we fill that in:

                     d           =            r         *           t

East train                               105

West train                               85

The time is what we are looking for, so that is the unknown for each train:

                        d          =          r         *           t

East train                               105                   t

West train                               85                   t    

Since the formula is d = rt, we will multiply the rates of each times the time of each and fill in accordingly:

                              d           =             r             *           t

East train          105t                      105                         t

West train           85t                       85                        t

Here's an illustration to the best of my abilities in this forum:

<------------------------------|----------------------->

            85t                          105t

|----------------------456 miles-------------------|

The illustration is supposed to show you that the distance between the trains (456 miles) is found by adding the 2 distances together and solving for t:

85t + 105t = 456

190t = 456 so

t = 2.4 hours

Answer:

Yes

Step-by-step explanation:

1/4 = 4/16 because 1/4 of 16 is 4

Also,

1/4 is just a simplified version of 4/16

The answer to whether 1/4 and 4/16 are equivalent fractions is that; Yes, they are equivalent fractions

We have two fractions which are; 1/4 and 4/16

Now, the first fraction is already in simplified form and can't be simplified further. However, the second fraction can be further simplified.

For the second fraction which is 4/16, the numerator and denominators have a common term which is 4. Thus, we can factor it out to get;

(4/4) * (1/4)

4/4 =1 and so we see that 4/16 can be reduced to the first fraction and so they are the same.

Read more about Fractions at; https://brainly.com/question/11562149

#SPJ2

Answer:

[tex]y = 9x + 7[/tex]

Step-by-step explanation:

To solve for y, our goal is to get it isolated on one side of the equation.

[tex]4y - 36x = 28[/tex]

Let's add [tex]36x[/tex] to both sides of the equation.

[tex]4y = 36x + 28[/tex]

Now divide both sides by 4.

[tex]y = 9x + 7[/tex]

Hope this helped!

Answer:

4y-36x = 28........... :4

y-9x = 7

y = 7+9x or y = 9x+7

Answer:

18

Step-by-step explanation:

PEMDAS

I hope this helped

Answer:

6

Step-by-step explanation:

6

Answer:

6

Step-by-step explanation:

Find the number in the whole number place

6

6

and look one place to the right for the rounding digit on the right side of the decimal point

4

4

.Round up if this number is greater than or equal to

5

5

and round down if it is less than

5

5

.

6

Answer:

[tex]x=1[/tex] is a critical point of the function [tex]f(x).[/tex]

Step-by-step explanation:

[tex]f(x)=x^2-2x+7[/tex]

Differentiate both sides w.r.t. [tex]x[/tex]

[tex]\Rightarrow f'(x)=2x-2[/tex]

Now, [tex]f'(x)=0[/tex]

[tex]\therefore 2x-2=0[/tex]

[tex]\Rightarrow 2x=2[/tex]

[tex]\Rightarrow x=1[/tex]

Hence, [tex]x=1[/tex] is a critical point of the given function.

Step-by-step explanation:

Hey there!

Your required answer is option B.

Here,

Given,

The figure is an equilateral triangle with, side (7x+9) and (x+27).

By the defination of equilateral triangle we have,

All sides of equilateral triangle are equal.

So,

[tex]( 7x+ 9) = x + 27[/tex]

Simplify them to get answer.

[tex]7x - x = 27 - 9[/tex]

[tex]6x = 18[/tex]

[tex]x = \frac{18}{6} [/tex]

Therefore the value of x is 3.

Hope it helps...

The value of x in the figure is:

B) x = 3

Trigonometry deals with the relationship between the ratios of the sides of a right-angled triangle with its angles.

The signs on the three sides of the triangle indicate that all the sides of the figure are equal. Thus, we can say:

7x + 9 = x + 27

7x - x = 27 - 9

6x = 18

x = 18/6

x = 3

Therefore, the value of x is 3.

Learn more about Trigonometry on:

brainly.com/question/11967894

#SPJ6

Answer:

what do you need help with

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Step 1: Write expression

(-4) + 1

Step 2: Add

-3

Given that:

The company uses its cargo vans to deliver packages to locations at a 75-mile radius  from the warehouse.

If delivery location is within 8 miles of the delivery boundary, a cargo van will still be used.

To find: The inequality to represent the instances when a vehicle other than a cargo van is used.

Solution:

Let x is the distance of a location from the warehouse.

Cargo van will be used if delivery location is within 8 miles of the delivery boundary.

Minimum distance for delivery = 75-8 = 67 miles.

Maximum distance for delivery = 75+8 = 83 miles.

So, the company  uses cargo vans for any distance in the range 67 miles to 83 miles. So,

[tex]67\leq x\leq 83[/tex]

Therefore, the required inequality is [tex]67\leq x\leq 83[/tex].

Answer:

$292 in fees

Step-by-step explanation:

First, calculate the total payments Jan made over the 4 years

$355 x 4 payments per year x 4 years =  $5,680

Then, calculate the total payments made and subtract the amount of Principal and Interest paid from the total payments made.

$5,680 - $5,388 = $292

$292 is the FEE for the loan

$4,700 is the PRINCIPAL for the loan

$688 is the INTEREST for the loan

Answer:

The answer is 292

Step-by-step explanation:

Answer:

18 is the correct answer

Answer:

(15-7)-(8-3)

Step-by-step explanation:

1.

[tex]7+(31-4)(2)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(31-4\right)\::\quad 27\\\\=7+27\left(2\right)\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:27\left(2\right)\:\\:\quad 54\\\\=7+54\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:7+54\:\\:\quad 61[/tex]

2.

[tex]-212-(-3)\\\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\\\=-212+3\\\\=-209[/tex]

3.

[tex](15-7)-(8-3)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(15-7\right)\::\quad 8\\\\=8-\left(8-3\right)\\\\\mathrm{Calculate\:within\:parentheses}\:\left(8-3\right)\::\quad 5\\\\=8-5\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:8-5\:\\:\quad 3[/tex]

4.

[tex]-5[7+(-14)]-30\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left[7+\left(-14\right)\right]\::\quad -7\\\\=-5\left(-7\right)-30\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:-5\left(-7\right)\::\quad 35\\\\=35-30\\\\= 5[/tex]

Answer:

20% profit

Step-by-step explanation:

Given:

Profit:

Profit percent:

Answer:

c.p=1450

s.p=1740

profit=s.p-c.p

=1740-1450

=290

Answer:

9x9x9x9x9x9

Step-by-step explanation:

Answer:

y= 4/3x - 8.7777777777(reoccurring)

Step-by-step explanation:

ok for perpendicular slopes we use the negative reciprocal of the original slope so -3/4 turns into 4/3. next we take the equation y = 4/3x + b and plug in -1 for x and -10 for y to find B.

Answer:

720 degrees

Step-by-step explanation:

one full rotation is 360 degrees

360 + 360 = 720

Answer:

C. Yes, because every x-value corresponds to exactly one y-value.

Answer: C

Step-by-step explanation: i just had that answer

Answer:

C

Step-by-step explanation:

I did the test

Answer:

2 1/8 mph.

Step-by-step explanation:

Distance= time x speed

Same way, Distance divided by time=speed.

In this situation, just divide 5 2/3 by 2 2/3.

Hope this helps!

Hello, one way to see it is as below

[tex]\displaystyle F(2)-F(1)=\int_1^2 F'(t) dt=\int_1^2 G'(t) dt=G(2)-G(1)[/tex]

Another way is to notice that F'(x)=G'(x) means that F(x) and G(x) are only different from a real constant that we can note a, it means that

[tex](\forall x \in \mathbb{R}) \ (F'(x)=G'(x)) => (\exists a \in \mathbb{R});(F(x)=G(x)+a)[/tex]

and then F(2)-F(1)=G(2)-G(1)

thanks

Answer:2

Step-by-step explanation:

Step-by-step explanation:

Let the number be x

1 2/3% × x = 4.75

5/3% × x = 4.75

(5/3)/100 × x = 4.75

5/3 × 1/100 × x = 4.75

5x/300 = 4.75

5x = 300 × 4.75

x = (300 × 4.75)/5

x = 1425/5

x = 285

Answer:

[tex]-9x[/tex]

Step-by-step explanation:

Add/Subtract the terms:

[tex]-3x-6x=-9x[/tex]