What is the perimeter of this figure?

Roger is having a picnic for 78guests. He plans to serve each guest at least one hot dog. If each package, p, contains eight hot

german

Question is Incomplete; Complete question is given below;

Roger is having a picnic for 78 guests. He plans to serve each guest at least one hot dog. If each package, p, contains eight hot dogs, which inequality could be used to determine how many packages of hot dogs Roger will need to buy?

1) $p \geq 78$

2) $8p \geq 78$

3) $8 +p \geq 78$

4) $78 + p \geq 8$

Answer:

2) $8p \geq 78$

Step-by-step explanation:

Given:

Number of guest in the picnic = 78 guest

Number of hot dog each guest will have = 1

Number of hot dogs in each package = 8 hot dogs.

We need to write the In equality used to determine the number of packages of hot dogs roger must buy

Solution:

Let the number of packages be 'p'.

First we will find the total number of hot dogs required.

so we can say that;

total number of hot dogs required is equal Number of guest in the picnic multiplied by Number of hot dog each guest will have.

framing in equation form we get;

total number of hot dogs required = $78\times 1 =78$

Now we can say that;

Number of hot dogs in each package multiplied by number of packages should be greater than or equal to total number of hot dogs required.

framing in equation form we get;

$8p\geq 78$

Hence The In equality used to determine the number of packages of hot dogs roger must buy is $8p\geq 78$ .

6 0

3 years ago

Suppose you take $25,000 and deposit some of it into a savings account that pays 2.2% interest. You then take the rest of the mo

FromTheMoon [43]

Answer:

The amount deposited in the savings account is $11,494.12

The amount deposited in the CD account is $13,505.88

Step-by-step explanation:

Firstly, let’s calculate the amount of interest;

Interest = Amount at end of 10 years - amount deposited= 31,648 -25,000 = 6,648

Let the amount deposited in the savings account be $x while the amount deposited in the CD account be $y

Mathematically;

x + y = 25,000 ••••••••••(i)

Now the formula for simple interest is;

PRT/100

where P is the amount deposited, r is the rate and T is the time

On the savings account, amount of interest generated will be;

(x * 2.2 * 10)/100 = 22x/100

On the CD act, amount of interest generated will be;

(y * 3.05 * 10)/100 = 30.5y/100

The addition of both give the total interest;

22x/100 + 30.5y/100 = 6648

Multiply through by 100

22x + 30.5y = 664800 •••••••(ii)

From i, x = 25,000 - y

Substitute this into ii

22(25000-y) + 30.5y = 664800

550,000 -22y + 30.5y = 664,800

8.5y = 664,800-550,000

8.5y = 114,800

y = 114,800/8.5

y = $13,505.88

x = 25,000 -y

x = 25,000 - 13,505.88

x = $11,494.12

3 0

3 years ago

Identify the underlined place in 83.5851. Then round to the nearest thousandth

____ [38]

The underlined place in 83.5851 which is then rounded to the nearest thousandth is A. tenth; 83.585 .

8 0

3 years ago

Read 2 more answers

In FGH, the measure of H=90°, HF=91 feet, and GH = 50 feet. Find the measure of F to the nearest degree.

Rudik [331]

Given:

The angle of H=90°, HF=91 feet, and GH = 50 feet.

The objective is to find the measure of angle F.

In the given right angled triangle, the side opposite to the requierd angle is called opposite side, and the other smaller side is called adjacent side.

The trigonometry formula which relates with the opposite and adjacent side is,

$\tan \theta=\frac{opposite}{adjacent}$

Now substitute the value of opposite and adjacent in the above formula to find the value of angle F.

$\begin{gathered} \tan \theta=\frac{50}{91} \\ \theta=\tan ^{-1}(0.549) \\ \theta=28.787^0 \\ \theta\approx29^0 \end{gathered}$

Hence, the value of angle F is 29 degree.

3 0

1 year ago

ASAP!!! PLEASE help me with this question!

mihalych1998 [28]

Answer:

C. 16π

Step-by-step explanation:

Well we need to find the area of the top circle which has a radius of 4cm.

π(4)^2

16π in terms of pi

Thus,

the answer is C. 16π.

Hope this helps :)

4 0

3 years ago