21 divided 4 equals 5 1/4 in a word problem

Answer:

A = 94.99

Step-by-step explanation:

C = 2(3.14)r

34.54 = 2(3.14)r

34.54 = 6.28r

r = 34.54/6.28

r = 5.5

A = (3.14)r²

A = (3.14)5.5²

A = (3.14)30.25

A = 94.985

Answer:

95miles²

Step-by-step explanation:

The circumference of a circular island = 34.54 miles.

2πr=34.54miles

πr=17.27mile

r=17.27/πmile

the area of the island=πr²=π×{17.27/π}²=95miles² approx

Answer:

[tex]A=988\ \text{feet}^2[/tex]

Step-by-step explanation:

Given that,

The height, width and the thickness of a rectangular prism are 17 feet, 12 feet and 10 feet.

We need to find the area of a rectangular prism. The formula for the ara of rectangular prism is given by :

[tex]A=2(lb+bh+hl)[/tex]

Substitute all the values,

[tex]A=2(17\times 12+12\times 10+10\times 17)\\\\A=2\times 494\\\\A=988\ \text{feet}^2[/tex]

So, the area of the rectangular prism is equal to [tex]988\ \text{feet}^2[/tex].

Answer:

22, 16, 18, 36

Step-by-step explanation:

the mean of the data set is 23 and the number 36 is 13 digits away from that therefore this data set is the most spread out.

have a great day :D

The probability the coins will land with different sides showing should be 1/2.

Answer: -71.104 ft/sec

Step-by-step explanation:So you need to know how fast the balloon is moving when it hits this person's head. velocity is based on time. So you need the time that it hits this person's head. You can get time from the position equation. Because the balloon hits this person's head 6 feet from the ground, you know that the final position is at 6 so you plug that into the position equation and solve for t. You look and see what the appropriate t value is and plug it into the velocity equation and see what the answer is.

6=-16t^2+40t+60

0=-16t^2+40t+54

plug in those values into the quadratic formula or your calculator and you get:

t = -.972

or

t = 3.472

since you can't have negative time, the other answer must be it.

So you then plug it in and solve.

v(3.472) = -32(3.472) + 40

which is approximately -71.104 ft/sec

or if they just want speed, 71.104 ft/sec. (remember, speed is velocity without direction)

Answer:

$5.7

Step-by-step explanation:

Given data

Bill= $37.85

Tip= 15%

Required

The amount of the tip

let us find 15% of $37.85

=15/100*37.85

=0.15*37.85

=$5.6775

Hence the amount of the tip is

=$5.7

Answer:

same amount of money

Step-by-step explanation:

The unit rate for a 9-ounce jar is $0.17.

The unit rate for a 15-ounce jar is $0.17.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

The store sells a 9-ounce jar of mustard for $1.53.

The unit rate.

= 1.53/9

= 0.17 _____(1)

The store sells a 15-ounce for $2.55.

The unit rate.

= 2.55/15

= 0.17 ______(2)

From (1) and (2) we see that,

The unit rate is the same.

Thus,

The unit rate is the same.

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Answer:

D. December 14th.

Answer:

Dec 14 next year

Step-by-step explanation:

just add 15 months lol

(4, -1) ---> x = 4 and y = -1

If you look at the graph you can se this

Mark points (0, 2) and (8, -4) in the coordinate plane

Plot the line going through both of these points.

Read the coordinates of the intersection of the line so you can see the solution!

Answer:

la respuesta que buscas es bastante simple pero no lo sé

Step-by-step explanation:

Answer:39

Step-by-step explanation:

Yan na sagut ko sa module

Sana makatulong

follow me for more math answer

Answer:

3 4/5

Step-by-step explanation:

7 3/10 - 3 9/10=

In this case 3/10 - 9/10 is cannot  be so we have to borrow 1 whole from 7

so, 7 3/10 will become 7 3/10 + 1 or to add we have to change 1 as 10/10, any way 1 and 10/10 is equal but in this case we will use 10/10 to add 1 whole to 3/10 and minus 1 whole to 7

so, 3/10 + 10/10 = 13/10

and 7 - 1 = 6

so, 7 3/10 as 6 13/10

any way 7 3/10 and 6 13/10 is equal but, in this case we have to use 6 13/10 to minus, because 7 3/10 is cannot be

so, 6 13/10 - 3 9/10 =

=3 4/10 or 3 2/5

to figure this one out we need to simplify the expression

16x²-36  start by taking out the greatest factor of 16 and 36 which is 4

4(4x²-9) then since this is the difference of squares (meaning both 4 and 9 are squares and it is subtraction) this one is easy, just square the parenthasis and seperate them  to get

4(2x+3)(2x-3)

I hope I've helped!

The expression [tex]\rm 16x^2-36[/tex]  is equivalent to 4(2x+3)(2x-3).

It is given that the expression [tex]\rm 16x^2-36[/tex]

It is required to simplify this expression.

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have an expression:

[tex]=\rm 16x^2-36[/tex]  

As we can see in the above expression we can take out 4 because 4 is the common factor of 16 and 36.

[tex]=\rm 4(4x^2-9)[/tex]   or we can write it as:

[tex]\rm = 4((2x)^2-3^2)[/tex]

We know that the:

[tex]\rm (a^2-b^2) = (a+b)(a-b)[/tex]

By using the above formula, we get:

[tex]\rm = 4(2x+3)(2x-3)[/tex]

Thus, the expression [tex]\rm 16x^2-36[/tex]  is equivalent to 4(2x+3)(2x-3).

Learn more about Polynomial here:

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Answer:

[tex]h=8.48\ \text{inches}[/tex]

Step-by-step explanation:

Given that,

Radius of cone, r = 7 inches

Slant height of the cone, l = 11 inches

We need to find the height of the cone. Let the height be h. Using trigonometry to find it as follows :

[tex]h^2+r^2=l^2\\\\h=\sqrt{l^2-r^2}\\\\h=\sqrt{11^2-7^2}\\\\h=8.48\ \text{inches}[/tex]

So, the height of the cone is equal to [tex]8.48\ \text{inches}[/tex].

Heya!

Answer:

√72

Step-by-step explanation:

Use Pythagorean:

h² + (14/2)² = 11²

h² + 49 = 121

h² = 121 - 49

h² = 72

h = √72 in

Hope this helps <33

Answer:

Jamal's inequality is correct

Step-by-step explanation:

Given

[tex]Sets:\{0,1,3,4,6,12\}[/tex]

Gary: [tex]6>0.5t[/tex]

Nancy: [tex]30 -t \le 18[/tex]

Jamal: [tex]12 \le t+12[/tex]

Required

Which of the inequalities is/are true

Gary: [tex]6>0.5t[/tex]

[tex]6>0.5t[/tex]

Divide both sides by 0.5

[tex]\frac{6}{0.5} > \frac{0.5t}{0.5}[/tex]

[tex]12 > t[/tex]

Rewrite as:

[tex]t < 12[/tex]

Gary's inequality is false because: [tex]12 = 12[/tex]

Nancy: [tex]30 -t \le 18[/tex]

[tex]30 -t \le 18[/tex]

Collect like terms

[tex]-t \le 18 - 30[/tex]

[tex]-t \le -12[/tex]

Divide both sides by -1

[tex]t \ge 12[/tex]

Nancy's inequality is incorrect because: 0,1,3,4 and 6 are less than 12

Jamal: [tex]12 \le t+12[/tex]

[tex]12 \le t+12[/tex]

[tex]12 - 12 \le t[/tex]

[tex]0 \le t[/tex]

Rewrite as:

[tex]t \ge 0[/tex]

Jamal's inequality is correct because: 0,1,3,4,6 and 12 [tex]\ge 0[/tex]

Answer:

24/3 =8 with each friend

Step-by-step explanation:

Answer:

you give each one 12 and than eat them

Step-by-step explanation:

Answer:

D

Step-by-step explanation

-2 1/2 is less than -1 1/2, s -2 1/2<-1 1/2

The graph is shown in the attached image.

The graph of the line is a straight line with points on are: (0, -9), (3, -5) and (6, -1).

Given that a line has a slope of 4/3 and the y-intercept is -9, we need to graph the line,

To graph the line with a slope of 4/3 and a y-intercept of -9, we can use the slope-intercept form of a linear equation, which is y = mx + b.

Here, the slope (m) is 4/3, and the y-intercept (b) is -9.

Start by plotting the y-intercept, which is the point (0, -9).

Next, use the slope to determine the direction of the line. The slope 4/3 means that for every 4 units you move up, you need to move 3 units to the right.

So, from the y-intercept (0, -9), move up 4 units and then move to the right 3 units to find the next point on the line. This point would be (3, -5).

Repeat this process to find more points on the line. Move up 4 units and to the right 3 units from the previous point (3, -5) to get (6, -1).

You can continue this process to find more points if desired.

Once you have a few points, connect them with a straight line to graph the line.

The graph of the line with a slope of 4/3 and a y-intercept of -9 is attached in the solution.

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Step-by-step explanation:

Let's assume Debbie paid $1700 in interest, while Jan paid $9000.

Debbie Saves = $1700* 0.28

Jan Saves = $9000 * 0.28

Debbie Saves $476 in taxes

Jan Saves $2520 in taxes

Answer:

Rate.

Step-by-step explanation:

Answer:

The function [tex]f(x) = |x+3|[/tex] can be rewritten in the following form:

[tex]f(x) = \left\{\,\begin{array}{ccc}x+3\,\,\,x\ge -3\\-x-3\,\,\,x < -3\end{array}[/tex]

Step-by-step explanation:

According to the definition of absolute value, we know that:

[tex]f(a) = \left\{\,\begin{array}{ccc}a\,\,\,a\ge 0\\-a\,\,\,a < 0\end{array}[/tex]

According to this, we can define [tex]f(x) = |x+3|[/tex] in the following form:

[tex]f(x) = \left\{\,\begin{array}{ccc}x+3\,\,\,x\ge -3\\-x-3\,\,\,x < -3\end{array}[/tex]

Answer:

The correct order is in the picture i attatched:)

Step-by-step explanation:

Hope this helps explain a little better:)

Answer:

A = 141.57

B = 235.62

b is larger

Step-by-step explanation:

Answer:

10.224 < μ < 12.622 ;

Since the mean weight of 2-montj old baby boys (13.9) falls outside the confidence interval, we can conclude that it is not reasonable to believe that the mean weight of two-month-old baby girls may be the same as that of two-month-old baby boys.

Step-by-step explanation:

The confidence interval is given as :

Mean ± Margin of Error

margin of error = Zcritical * standard deviation /sqrt(n)

n = sample size

From the data:

12.32, 11.87, 12.34, 11.48, 12.66, 8.51, 14.13, 12.95, 9.34, 8.63

From the data:

Using calculator :

Mean, = 11.423

Standard deviation, s = 1.934

Zcritical at 95% confidence interval = 1.96

Sample size, n = 10

Margin of Error = 1.96* 1.934/sqrt(10) = 1.199

Lower boundary = 11.423 - 1.199 = 10.224

Upper boundary = 11.423 + 1.199 = 12.622

10.224 < μ < 12.622

Since the mean weight of 2-montj old baby boys (13.9) falls outside the confidence interval, we can conclude that it is not reasonable to believe that the mean weight of two-month-old baby girls may be the same as that of two-month-old baby boys.

Answer:

a.) 1/2

b.) 1/8

c.) 5/8

d.) 1/2

Step-by-step explanation:

for A it is asking for probability of 1 and is 1/2 of the circle

for B it is asking for  probability of 3 and it is 1/2 of and 1/4 of the circle so 1/8

for C it is asking for probability of the odd numbers and there is tow odd numbers 1 and 3 the probability of 1 is 1/2 and the probability of 3 is 1/8 adding them up will give you 5/8

for d it asks for the probability of at least 2 so therefor 2, 3, and 4 and they are 1/8 + 1/8 + for 1/4 = 1/2

Answer:

first and last expressions are correct.

Step-by-step explanation:

(2×2) . 2×2×2×2 . 2×2×2

=(4) . 16 . 8

Answer:right scalene

Step-by-step explanation: