Phil ate 3 less than twice as many pancakes as Sara. Together they combined to eat 15 pancakes. How many pancakes did each one eat?

Answers

Answer 1
Answer:

Answer:

Sara ate 9 and Phil ate 6

Step-by-step explanation:

if sara eats 9 and phil has to eat 3 less then him 9-3=6

6+9=15

Answer 2
Answer:

wait I read that wrong...


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A shop has 15% sale. Originally a computer cost £275. How much does the computer cost in the sale?

Answers

Answer:

     = 233.75

Step-by-step explanation:

To find the discount, we multiply the original price by the percent off

discount = 275* .15

               = 41.25

To get the sale price, take the original price and subtract the discount

sale price = 275-41.25

               = 233.75

The perimeter of a rectangular painting is 336 centimeters. If the width of the painting is 71 centimeters, what is its length?

Answers

336 - (71+71) = 194
194 (divided) 2 = 97

The width is 97cm


Hope this helped :)

Complete the table of values

Answers

Both problems give you a function in the second column and the x-values. To find out the values of a through f, you need to plug in those x-values into the function and simplify! 

You need to know three exponent rules to simplify these expressions:
1) The negative exponent rule says that when abase has a negative exponent, flip the base onto the other side of thefraction to make it into a positive exponent. For example, 3^(-2) =(1)/(3^(2) ).
2) Raising a fraction to a power is the same as separately raising the numerator and denominator to that power. For example, ((3)/(4)) ^(3)  =  ( 3^(3) )/(4^(3) ).
3) The zero exponent rule says that any numberraised to zero is 1. For example, 3^(0) = 1.


Back to the Problem:
Problem 1 
The x-values are in the left column. The title of the right column tells you that the function is y =  4^(-x). The x-values are:
1) x = 0
Plug this into y = 4^(-x) to find letter a:
y = 4^(-x)\ny = 4^(-0)\ny = 4^(0)\ny = 1

2) x = 2
Plug this into y = 4^(-x) to find letter b:
y = 4^(-x)\n y = 4^(-2)\n y =  (1)/(4^(2)) \n  y= (1)/(16)

3) x = 4
Plug this into y = 4^(-x) to find letter c:
y = 4^(-x)\n y = 4^(-4)\n y =  (1)/(4^(4)) \n  y= (1)/(256)


Problem 2
The x-values are in the left column. The title of the right column tells you that the function is y =  ((2)/(3))^x. The x-values are:
1) x = 0
Plug this into y = ((2)/(3))^x to find letter d:
y = ((2)/(3))^x\ny = ((2)/(3))^0\ny = 1

2) x = 2
Plug this into y = ((2)/(3))^x to find letter e:
y = ((2)/(3))^x\n y = ((2)/(3))^2\n y = (2^2)/(3^2)\ny =  (4)/(9)

3) x = 4
Plug this into y = ((2)/(3))^x to find letter f:
y = ((2)/(3))^x\n y = ((2)/(3))^4\n y = (2^4)/(3^4)\n y = (16)/(81)

-------

Answers: 
a = 1
b = 
(1)/(16)
c = 
(1)/(256)
d = 1
e = (4)/(9)
f = (16)/(81)

The correct mixture of oil to gas in a weed eater is 1/2 pint of oil to 2 1/2 gallons of gas. how many pints of oil are needed for 10 gallons of gas?

Answers

1/2 pint of oil=2 1/2 gallons of gas

X pint of oil= 10 gallons of gas

X= (10*0.5)/2.5

X= 2 pints of oil

Final answer:

To find out how many pints of oil are needed for 10 gallons of gas in a weed eater, we need to set up a proportion using the given ratio. By cross-multiplying and solving for x, we find that 1/4 pint of oil is needed.

Explanation:

To find out how many pints of oil are needed for 10 gallons of gas, we can use the given ratio of 1/2 pint of oil to 2 1/2 gallons of gas. First, we need to change the 2 1/2 gallons of gas to pints by multiplying it by 8 (since 1 gallon is equal to 8 pints). So, 2 1/2 gallons becomes 20 pints of gas. Now, we can set up a proportion using the ratios of oil to gas. The proportion will be (1/2 pint) / (20 pints) = (x pints) / (10 gallons).

To solve for x, we can cross-multiply and then divide: (1/2 pint) * (10 gallons) = (20 pints) * (x pints). Simplifying this gives us x = 1/4 pint of oil. Therefore, 1/4 pint of oil is needed for 10 gallons of gas.

Learn more about mixture of oil and gas

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an artist transferred a rectangular design 13 cm long and 6 cm wide to a similar canvas 260cm long and 120 cm wide. what is the scale factor?????????

Answers

the scale factor is 20

0.2(d-6)=0.3d+5-3+0.1d

Answers

first distribute
a(b+c)=ab+ac
0.2(d-6)=0.2d-1.2
now we have
0.2d-1.2=0.3d+5-3+0.1d
gropu like terms
0.2d-1.2=0.3d+0.1d+5-3
add like terms
0.2d-1.2=0.4d+2
subtract 0.2d from both sides
-1.2=0.2d+2
subtract 2 from both sides
-3.2=0.2d
divide both sides y 0.2
-16=d
Hi,

Whoa!! Alrighty, this can be intimidating, but there are two things you need to know when solving these types of problems. #1: Clean up and #2: Plug N' Chug. I promise if you get these down, you'll be doing these problems like a pro!!

So, you are basically trying to find the value to equal d.


#1: Clean Up!
0.2(d - 6) = 0.3d + 5 - 3 + 0.1d
0.2d - 1.2 = 0.3d + 5 - 3 + 0.1d (Distribute)
0.2d - 1.2 = 0.4d + 2 (combine like terms)

Alright at this point, your problem doesn't look too bad- now you have to just plug n' chug- so let's solve!

0.2d - 1.2 = 0.4d + 2
0.2d = 0.4d + 1.4
-0.2d = 1.4
d = -7

And there is your answer.