Donald bought a box of golf balls for $9.32. There were 18 golf balls in the box.
About how much did each golf ball cost? Rename the decimal dividend as a whole number that is
compatible with the divisor to estimate the quotient.
Each golf ball costs about $

Answer:

[tex]f(n) = 15 + (n + 1)[/tex]

Step-by-step explanation:

Tina earns $15 every week when she mows the lawn.

We would put $15 because she earns $15 every week.

She earns 15 every week, so we would put (n + 1).

Our final answer would be [tex]f(n) = 15 + (n + 1)[/tex]

Answer:

The explicit rule is:

[tex]f(n)=60+15(n-1)[/tex]

After 15 week, Tina will have $270 in her savings account.

Step-by-step explanation:

Let’s write down our sequence so we can see it better.

For the first week (i.e. the first term), Tina has $60.

For the second week (i.e. the second term), Tina has $75.

And for the 3rd, 4th, 5th, and 6th week, Tina has $90, $105, $120, and $135, respectively.

Therefore, we can write the following sequence:

60, 75, 90, 105, 120, 135...

Note that our initial term a is 60.

And our common diffference will be 15.

Let’s find the explicit rule. The standard format for an explicit rule is:

[tex]f(n)=a+d(n-1)[/tex]

Where a is the initial term and d is the common difference.

Let’s substitute 60 for a and 15 for d. Hence, our explicit formula is:

[tex]f(n)=60+15(n-1)[/tex]

So, to find the amount Tina will have in her savings account in 15 weeks, we will substitute 15 for n and evaluate. So:

[tex]f(15)=60+15(15-1)[/tex]

Evaluate:

[tex]\begin{aligned} f(15)&=60+15(14) \\ f(15)&=60+210 \\ f(15)&=270 \end{aligned}[/tex]

Hence, after 15 weeks, Tina would have $270 in her savings account.

Answer:

C. 4 ft x 6 ft

Step-by-step explanation:

May I have brainliest please? :)

If 0.5cm = 6 inches you can just double the number you have then multiply that by 6

4cm = 48cm which is 1.5748 feet

6cm =

Answer:

D

Step-by-step explanation:

0.5cm - 6ft

1cm=12ft

2cm= 24

3cm= 36

4cm = 48

5cm= 60

6cm = 72

48 divided by 6 is 8

72 divided by 6 is 12

Answer:

The slope is -3/2

Step-by-step explanation:

Hope this helped have a good day!

Answer:

A) 12x-4y

Step-by-step explanation:

Since a square has a perimeter of P=4s, then P=4(3x-y)=12x-4y, therefore A is the correct option.

The y-intercept of the graph is -3

The y-intercept is the point where the line intersects the y-axis. This is the value of y when x is equals to zero.

Using slope intercept formula,

y = mx + b

where

Now, let's trace the value of y when x = 0 in the graph.

Therefore,

when x = 0, y = -3

Hence, the y-intercept of the graph is -3

learn more on y-intercept here: https://brainly.com/question/20759265

#SPJ1

Answer:

Cellular respiration is this process in which oxygen and glucose are used to create ATP, carbon dioxide, and water. ATP, carbon dioxide, and water are all products of this process because they are what is created.

Step-by-step explanation:

Answer:

you can also get the most of the best Friend in suluiman .70.

Answer:

y= 8x +9

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the slope and c is the y-intercept.

Given that the slope is 8, m= 8.

Substitute m= 8 into the equation:

y= 8x +c

Given that the y-intercept is 9, c= 9.

Substitute c= 9 into the equation:

y= 8x +9

Thus, the equation of the line is y= 8x +9.

Answer:

300+ 50 + 2

Step-by-step explanation:

If you add 300+50+2 you get 352 all you need to do is break down the number to pieces! :)

Explanation:

The number 352 has 3 in the hundreds place, 5 in the tens place, and 2 in the ones place.

So that's why 352 = 300 + 50 + 2

Answer: x=10.5

Step-by-step explanation:

To solve for x, we want to use our properties to isolate x.

2x-7=14           [add both sides by 7]

2x=21              [divide both sides by 2]

x=10.5

Now, we know that x=10.5.

Answer:

15

Step-by-step explanation:

-3 x -5 = 15

Answer:

Step-by-step explanation:

Given that:

cos(x) = x³

f(x) = cos (x) - x³

f(x) is continuous on the interval (0, 1)

when;

f(0) = cos (0) - (0)

f(0) = 1 - 0

f(0) = 1 > 0

f(1)  = cos (1) - 1³

f(1) = 0.5403 - 1

f(1) = -0.4597

f(1) = - 0.46

f(1) = - 0.46 < 0

Since, 1 > 0 > -0.46, thus there is a number ''c" in (0,1)

such that f(c) = 0

By applying the Intermediate Value Theorem, there is a root of the equation in the interval (0,1)

b) Given that:

The interval length = 0.01; this implies that it is 0.005 length from its root.

f(0.865) = 0.0014

f(0.87) = - 0.013

The solution to the interval lies between 0.865 , 0.87 by using a calculator at length 0.01.

Answer:

97 degrees

Step-by-step explanation:

If 45 + 38 = 83

A triangle is 180 always

so 180-83=97

Answer:

AB + BC + CA

Step-by-step explanation:

12b-8 + 12b- 8 + 9b+8

33b - 8

Based on the ratio of the jellybeans and the number of jellybeans, the number of each is:

To find the number of yellow jellybeans:

= Ratio of Yellow/ Sum of ratios x Number of jellybeans in total

= 6 / (6 + 5 + 4) x 60

= 24 yellow jellybeans

Orange jellybeans:

= 5 / 15 x 60

= 20 orange jellybeans

Red jellybeans:

= 4 / 15 x 60

= 16 red jellybeans

In conclusion, there are several colors of jellybeans.

Find out more at https://brainly.com/question/14493658.

Answer:

Step-by-step explanation:

a. $7.

b. $1x.

c. $20.

d. $5y.

e. $1x + $5y.

I hope this helps, sorry if I am incorrect. Have a nice day!

Answer:

202.50

Step-by-step explanation:

Answer:

£202.50

Step-by-step explanation:

£180 by 12.5 % is £180+ (£180*12.5) which is 202.50.

Hope this helps :D

Answer:

3.5355 inches

Step-by-step explanation:

Area should be same the concentric circle and rest piece .

let's consider the radius of concentric circle as r

so it's area is π r²

area of whole circle is π (5)" ( because diameter is 10 inches)

so the area of rest piece is π (5)² - π r²

π (5)² - π r² = π r²

5² = 2r²

r² = 25/2

r = √(25/2)

r = 3.5355 inches

Answer:

x = 5

Step-by-step explanation:

4(x-1)/8 = 2(x+2)/7

7*4(x-1) = 8*2(x+2)

28(x-1) = 16(x+2)

28*x + 28*-1 = 16*x + 16*2

28x - 28 = 16x + 32

28x - 16x = 32 + 28

12x = 60

x = 60/12

x = 5

Check:

4(5-1)/8 = 2(5+2)/7

4*4/8 = 2*7/7

16/8 = 2*1 = 2

Answer:

B. 6

Step-by-step explanation:

50 times 3/5 = 150/5 = 30

30 times 4/5 = 120/5 = 24

24 times 1/4 = 24/4 = 6

Answer:

x= -1

Step-by-step explanation:

2(x -5) -6 = -18

2x -10 -6 =-18

2x -10 -6 =-18

2x -16 = -18

2x =16 += -18

2x -16 +16 = -18 +16

2x = -2

2x/2 = -2/2

x=-1

x = -1

Answer:

10 families have cats

25 families have dogs

Step-by-step explanation:

The difference of ratio units is 5-2 = 3. The difference in pet counts is 15, so we can see that each ratio unit stands for 15/3 = 5 pets. Then ...

 dogs : cats = 5 : 2 = (5·5) : (2·5) = 25 : 10

There are 10 families with cats and 25 families with dogs.

Answer:

B D and E.

Step-by-step explanation:

Answer:

(-6,2)

Step-by-step explanation:

[tex]f(x)<0[/tex]

We are given [tex]f(x)=x^2+4x-12[/tex].

So we need to solve:

[tex]x^2+4x-12<0[/tex]

First let's find when the expression on the left is 0.

[tex]x^2+4x-12=0[/tex].

The expression on the left is factorable.

Given the coefficient of [tex]x^2[/tex] is 1, all we have to do is see if there are two numbers that multiply to be -12 and add to be 4.

Those numbers are 6 and -2 so the factored form is:

[tex](x+6)(x-2)=0[/tex]

So the solutions can be found be solving the following linear equations:

[tex]x+6=0[/tex] and [tex]x-2=0[/tex].

First equation, you just need to subtract 6 on both sides. [tex]x=-6[/tex]

Second equation, you just need to add 2 on both sides. [tex]x=2[/tex]

So draw a number line with those on it and test the intervals they divide.

--------(-6)--------(2)----------

So we need to test three intervals.

*Plug in a number before -6 to see if that piece of the function is above the x-axis or below. We are looking for below since we want [tex]f(x)<0[/tex].

Let's plug in x=-8

[tex]f(x)=(x+6)(x-2)[/tex] or use [tex]f(x)=x^2+4x-12[/tex].

[tex]f(-8)=(-8+6)(-8-2)[/tex]

[tex]f(-8)=(-2)(-10)[/tex]

[tex]f(-8)=20[/tex] so this piece is above since 20 is positive and not negative.

So we will not include this interval in our answer.

*Plug in a number between -6 and 2 like 0.

[tex]f(x)=(x+6)(x-2)[/tex]

[tex]f(0)=(0+6)(0-2)[/tex]

[tex]f(0)=(6)(-2)[/tex]

[tex]f(0)=-12[/tex] so this piece is under since -12 is negative and not positive.

So our solution includes the interval (-6,2).

*Plug in a number after 2 like 5.

[tex]f(x)=(x+6)(x-2)[/tex]

[tex]f(5)=(5+6)(5-2)[/tex]

[tex]f(5)=(11)(3)[/tex]

[tex]f(5)=33[/tex] so this piece is above since 33 is positive and not negative.

The answer only includes the interval (-6,2).

Answer :

The Answer Is 300 Miles In 5 Hours

Answer:

300 miles i think

Step-by-step explanation:

120 times 2.5 bc 2 times 2.5=5

120 times 2.5 is 300