At the Howelton Hot Dog Happiness competition, Olaf eats five fewer than triple the hot dogs Alfred eats. Olaf eats 67 hot dogs. Alfred eats "a" hot dogs. How many does Alfred eat? Have to do PEMDAS backwards, just need help setting up the equation.

Answers

Answer 1

Answer:

Alfred ate 24 hot dogs.

Step-by-step explanation:

Let the number of hot dog ate by Olafs be represented by b.

Since Olafs eats five fewer than triple the hot dogs Alfred eats, and Alfred ate a hot dogs. This can be expressed in a mathematical equation as follows;

b = 3a - 5

But Olafs eats 67 hot dogs, so that b = 67. Thus;

b = 3a - 5

67  = 3a - 5

67 + 5 = 3a

3a = 72

divide both sides by 3 to have;

a = [tex]\frac{72}{3}[/tex]

a = 24

Alfred ate 24 hot dogs.


Related Questions

1,200 tv; 10%discount

Answers

Answer:

The TV would cost $1,080.

Step-by-step explanation:

The discount would be $120. So $1,200 - $120 = $1,080.

Ramon and justine are both watching brodcast both star at 7:00 a.M and ends at 9:00 a.M one one shows commercials every 17 minutes and 14 minutes. When will commercials show at the same time

Answers

Answer:

1:58 minutes after the show

Step-by-step explanation:

Step one:;

given data

start time= 7:00 am

end time= 9:00 am

we are told that one broadcast shows commercial every 17minutes

and the other shows commercials every 14 minutes

now the time when they both sho commercial is given by the greates common multiple of the times 17 and 14

multiples of  17= 17,34,51,68,85,102,119,136,153,170,187,204,221,238

multiples of  14= 14,28,42,56,70,84,98,112,126,140,154,168,182,196,210,224,238

for the number above 238 is common to both

238minutes to hours= 3.96667

=3:58 minutes

this shows that commercials will show at the same time 1:58 minutes after the show

Paul earns $7 per hour at the bagel
shop and $12 per hour mowing lawns.
Paul needs to earn at least $120 per
week, but he must work less than
30 hours per week. Write and graph
the system of linear inequalities that
describes this situation.

Answers

Answer:

he can work 10 hours mowing lawns and will get exactly $120!

Step-by-step explanation:

Will mark brainliest
Number 1 and 3

Answers

Answer: Q1=20 Q2=39

Step-by-step explanation:

For question one all you have to do is multiply 20x35x8 giving you 5600. For question two just multiply 39x7x8 giving you 2184. Beat of luck.

Visitors to the Royal Ranch Golf Paradise shoot an average of 88 on their 18-hole golf course. The standard deviation is 12. Between what two values does 68% of the data fall between?

Answers

Answer:

76 and 100

Step-by-step explanation:

We solve this question busing Empirical rule.

Empirical rule states that:

68% of data falls within 1 standard deviations from the mean - between μ – σ and μ + σ

From the above question,

Mean = 88

Standard deviation = 12

Hence,

μ - σ

= 88 - 12

= 76

μ + σ

= 88 + 12

= 100

The two values that 68% of the data falls withing is 76 and 100

The sum of 5 consecutive integers is 505,

What is the third number in this sequence?

Answers

Answer:

101

Step-by-step explanation:

hope that helps

Fuseina has ¢40000 to invest.She decides to put part of the money in an account paying 4% interest and the reminder into stocks paying 6% interest . Her financial advisor tells her that the total annual income from these investments should be¢2040. How much should she invest at each rate?

Answers

Answer:

The amounts invested in the account = ¢ 18000

and the amount invested in the stock = ¢40000-¢18000= ¢22000.

Step-by-step explanation:

Given that the account paying 4% interest and the stocks paying 6% interest.

Assuming she put ¢ x in the account, so

Income (interest) from the account = 4% of x = ¢ 0.04x...(i)

She has a total of ¢ 40000 to invest, so the remaining amount = ¢(40000-x).

As she put the remaining amount into stock, so

Income (interest) from the stock=6% of (40000-x)=¢(2400-0.06x)...(ii)

As total income from the investment is ¢ 2040, so on adding both the incomes from equations (i) and (ii), we have

[tex]2040=0.04x + (2400-0.06x) \\\\\Rightarrow 2040=2400 - 0.02x \\\\\Rightarrow 0.02x = 2400-2040=360 \\\\\Rightarrow x = 360/0.02=18000.[/tex]

So, the amount invested in the account = ¢ 18000

and the amount invested in the stock = ¢40000-¢18000= ¢22000.

If you are making a scale drawing of a girrafe that is 6m tall, and the height of the girrafe in your drawing is 3cm, what is the scale of the drawing?

Answers

Answer:

1cm to 200cm

Step-by-step explanation:

l of giraffe = 6m = 600cm

l of giraffe drawing = 3cm

scale = drawing : real = 3 : 600 = 1 : 200

Therefore the scale is 1cm to 200cm

If your good at math PLEASE HELP ME!


Katherine bought some cans of sardines and corned beef. She gave the store owner Php 200 as payment. However, the owner told her that the amount is not enough. What could be the reasons? What mathematical statement would represent the given situation?​

Answers

Answer:

need more info

Step-by-step explanation:

i need more information to answer this

Determine the two numbers between which v~2
OA 1.2 and 13
B.
1.4 and 1.5
c. 1.5 and 1.6
OD 1.3 and 1.4

Answers

Answer:

A

Step-by-step explanation:

Jacqui needs 8 cups of sugar to make 12 batches of cookies. What is the proportional equation that represents the situation?

Answers

Answer:

4

Step-by-step explanation:

The proportional equation that represents the situation is k=2/3.

Given that, Jacqui needs 8 cups of sugar to make 12 batches of cookies.

We need to find what is the proportional equation that represents the situation.

What is the proportional equation?

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. The proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Based on the type of relationship two or more quantities share, the proportion can be classified into different types. There are two types of proportions.

Direct ProportionInverse Proportion

The number of cups of sugar used to make batches of cookies is a direct proportion.

8∝12

⇒8=12k

⇒k=8/12

⇒k=2/3

Therefore, the proportional equation that represents the situation is k=2/3.

To learn more about the proportional equation visit:

https://brainly.com/question/15179946.

#SPJ6

Emma needs some steel bolts to finish a patio deck project. If five steel bolts cost
$3.50, how much would 35 steel bolts cost?

Answers

Answer:

Step-by-step explanation:

$24.5

whats the place value of the decimal in the number 125.6

Answers

Answer:

in between the ones and the tenths place

Step-by-step explanation:

so it would be in the ones place

Miranda and Savannah are excited that a new store just opened in town! They go together the first day it opens! Each time Miranda goes to the store she plans to spend $7dollar sign, and each time Savannah goes to the store she plans to spend $9.A few weeks from now, Miranda and Savannah are surprised to find out that they have spent the exact same total amount of money at the store.

Answers

Answer:

Miranda made 9 visits to the store and Savannah made 7 visits to the store

Step-by-step explanation:

To find how many times Miranda and Savannah went to the store we would need to find the Greatest Common Multiple of the amount that each of them spends per visit. We do this by simply going through each of these numbers' times tables until we find a common one.

7 * 1 =  7                     9 * 1 = 9

7 * 2 =  14                   9 * 2 = 18

7 * 3 =  21                   9 * 3 = 27

7 * 4 =  28                  9 * 4 = 36

7 * 5 =  35                  9 * 5 = 45

7 * 6 =  42                  9 * 6 = 54

7 * 7 =  49                  9 * 7 = 63

7 * 8 =  56                  

7 * 9 =  63      

Finally, we can see that the first time that both Miranda and Savannah have spent the exact same amount would be when Miranda made 9 visits to the store and Savannah made 7 visits to the store. Each of which wasted $63          

Q2) f(x) = 2X^2 - 5x, g(x) = 3x^3 find g(5)

Answers

Answer:

g(5) = 375

Step-by-step explanation:

g(x) = 3x³

g(5) = 3(5)³

g(5) = 3(125)

g(5) = 375

The required value of g(5) is 375. which is determined by substituting the value of x = 5 in the function of g(x).

What is the function?

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

The functions are given in the question,

f(x) = 2x² - 5x, g(x) = 3x³

We have to determine the value of g(5).

⇒ g(x) = 3x³

Substitute the value of x = 5 in the function of g(x) and then evaluate

⇒ g(x) = 3x³

⇒ g(5) = 3(5)³

Here (5)³ = 5 × 5 × 5 = 125

⇒ g(5) = 3(125)

Apply the multiplication, and we get

⇒ g(5) = 375

Therefore, the required value of g(5) is 375.

Learn more about the functions here:

brainly.com/question/12431044

#SPJ2

The cost of a cell phone plan varies directly with the amount of data included. A 0.5 GB plan costs $14.95 per month. How much does a 3 GB plan cost? ​

Answers

Answer:

Step-by-step explanation: D. (24, 12), (36, 0)

When solving an equation, Gabrielle's first step is shown below. Which property justifies Gabrielle's first step?

Answers

There is nothing for me to work with
The property that best justifies Gabrielle's first step is the addition property of equality. This allows you to add four on the left side of the equal sign to cancel it out.

Helpp-Find the measure of angle SRT!!!!!

Answers

i’m not 100% sure but the angles of both are 65 degrees because if you do
180-50 you get 130 and if u divide by 2 you get 65

Please help me by answering the following questions!!

Answers

Answer:

1. A number having 2, 3, 7 or 8 at unit's place is never a perfect square. In other words, no square number ends in 2, 3, 7 or 8. The number of zeros at the end of a perfect square is always even. In other words, a number ending in an odd number of zeros is never a perfect square.

2. Only those numbers, when squared will have 6 at their unit place are 4 and 6 Because 4×4 = 16 and 6×6 = 36(i dont know if this is what you were looking for)

3. the square root of 24336 consists of three digits and those digits are 156

Step-by-step explanation:

i am sorry my brain hurts lol, i will answer the 7 other questions later

Matthew correctly compared the values of the digits in 588.55. Which comparison could he have made?

A:The value of the tens digit is 10 times as much as the value of the tenths digit.
B:
The value of the hundredths digit is 10 times as much as the value of the tenths digit
c: The value of the ones digit is 1/10 f the value of the tens digit
d:
The value of the hundreds digit is 10 times as much as the value of the hundredths digit.

Answers

Answer:

Step-by-step explanation:

Given the decimal value 588.55

The ones digit value is 8

The tens digits value is 80

Taking the ratio

The ones digits/the tens digits = 8/80

The ones digits/the tens digits = 1/10

The ones digits = 1/10 * the tens digits '

Hence the value of the ones digit is 1/10 of the value of the tens digit.

Option C is correct

What is an equation of the line that passes through the point (3,-1) and has a slope of 2?

Answers

y=2x-1

or

y=2x+(-1)

hope this helps:)

X-3=2(y-(-1))
X-3=2(y+1)
X-3=2y+2
X-3-2y-2=0
Hope this helps ;)

Sally baked 28 brownies with 4 scoops of flour. With 5 scoops of flour, how many cookies can she bake?

Answers

Answer:

28 brownies - 4 scoops

x brownies - 5 scoops

Cross multiply and we get:

140 = 4x

Divide both sides by 4:

140/4 = 4x/4

35 = x

Hence, 5 scoops of flour will bake 35 brownies

Step-by-step explanation:

35 Cooke’s
28/4=7
7 x 5 = 35
35 cookies

This will be given 100 points, after it has been answered!

Answers

Sorry, we can’t see anything

What is the slope of the line that passes through the points (-9, -8)((−15,−16)? Write your answer in simplest form.​

Answers

Answer:

the slope is 4/3

Step-by-step explanation:

what is the y-intercept of the function f(x) = -2/9x + 1/3

options:
1. -2/8
2. -1/3
3. 1/3
4. 2/9


please i just wanna watch quackity i don’t know this

Answers

y intercept is 1/3 because y=mxtb and b is y intercept

The answer to 2+2 isnt 4 ill show you why

So you need to do f(x) 5x^2+3x-19+3

You would simplify the equation to get to y=4x+5f(x)+2

Naturally you would now graph the equation to a linear degree but still inducing a parabellum, y-(d-3)=0

Then solve using the square method (b/2)^2=(6)^2

Then put the 6 on both sides of the equation.

6^2+w0+8x+7t^2

After you get hydrogen oxide as your answer please note: Puenomia can only occur inside the respatory system.

There ya go: 18.

Answers

wow you are so smart

The double number line shows that to make 4 apple pies takes 14 pounds of apples.Select the double number line that correctly labels the number of pounds of apples that are needed to make 1 , 2, and 3 pies.

Answers

Answer:

The number of pounds of apples that are needed to make

1 pie = 3.5 pounds of Apples

2 pies = 7 pounds of Apples

3 pies = 10.5 pounds of Apples

Step-by-step explanation:

The double number line shows that to make 4 apple pies takes 14 pounds of apples.Select the double number line that correctly labels the number of pounds of apples that are needed to make 1 , 2, and 3 pies.

Hence;

For 1 pie

4 apple pies = 14 pounds of apples

1 apple pie = x pounds

4 apple pies × x pounds = 1 apple pie × 14 pounds of apples

x pounds = 1 apple pie × 14 pounds of apples/4 apple pie

x pounds = 3.5 pounds of apples

For 2 pies

4 apple pies = 14 pounds of apples

2 apple pies = x pounds

4 apple pies × x pounds = 2 apple pies × 14 pounds of apples

x pounds = 2 apple pies × 14 pounds of apples/4 apple pie

x pounds = 7 pounds of apples

For 3 pies

4 apple pies = 14 pounds of apples

3 apple pies = x pounds

4 apple pies × x pounds = 3 apple pies × 14 pounds of apples

x pounds = 3 apple pies × 14 pounds of apples/4 apple pie

x pounds = 10.5 pounds of apples

what is the y-intercept of the graph that is shown below? A. (-2, 0) B. (-1, 2) C. (0, 4) D. (4, 0)​

Answers

i think it is C. (0,4)

Katlyn sent 34,008 text messages last
year. If she sent the same number of
texts each month, how many messages
did she send in one month?

Answers

Answer:

2,834 texts

Step-by-step explanation:

There are 12 months in a year so divided the total number of texts by 12 then that will give you the monthly number of texts sent

2834
If you divide the number of text messages (34,008) by the number of months in a year (12) you get 2834.

answer please thank ​

Answers

The third one so C is the correct answer
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