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TEA [102]
2 years ago
15

Stephen has a dog that weighs 5 times as much as ian’s dog. the total weight of both dogs is 72 pounds. how much does stephen’s

dog weigh?
Mathematics
2 answers:
galina1969 [7]2 years ago
7 0
We'll let x represent the weight of Ian's dog.

So we can make the formula Ian's dog (x) + Stephen' dog (5x) = 72

So:
 x+5x=72
6x=72
x=12

So ian's dog is 12 pounds, but we're trying to find stephen's dog (5x)

We need to multiply x by 5 so:

5(12)=60

Therefore, Stephen's dog is 60 pounds

liraira [26]2 years ago
3 0
If x was Ian's dog, you could then out it into an equation, looking like :
x + 5x = 72
Then you would simplify:
6x = 72
And then you can solve
6x = 72
÷ 6
x = 12
Now we know that Ian's dog is 12 pounds, if we multiply 12 by 5 we get Stephen's dog, which is 60 pounds. Hope this helps!
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32h = 288 solve for h
Digiron [165]

Answer:

h= 9

Step-by-step explanation:

you divide both sides by 32

and 288 divided by 32 is 9

7 0
2 years ago
A craftsman can sell 10 jewelry sets for $500 each. He knows
liraira [26]

Answer:15

Step-by-step explanation:

Given

Craftsman sell 10 Jewelry set for $500 each

For each additional set he will decrease the price by $ 25

Suppose he sells n set over 10 set

Earning=\text{Price of each set}\times \text{no of set}

Earning =(500-25n)(10+n)

E=5000+500n-25n^2-250n

differentiate to get the maximum value

\frac{dE}{dn}=-50n+250

Equate \frac{dE}{dn} to get maximum value

-50n+250=0

n=\frac{250}{50}

n=5

Thus must sell 5 extra set to maximize its earnings.

5 0
2 years ago
Antonia is keeping track of the number of pages she reads. She started the school year having already read 95 pages her book, an
cupoosta [38]
F(x) means "function of" and x represents the day number, example: day 6 would be f(6)=(20×6)+95
4 0
2 years ago
You sell sporting goods. Your wages depend on the value of your sales. One week you sold $3,500 in sporting goods, earning $950.
Semmy [17]

Answer:

y = 0.2x + 250

Step-by-step explanation:

let the sales be x and y be earnings

thus,

given

x₁ = $3,500 ; y₁ = $950

and,

x₂ = $2,800 ; y₂ = $810

Now,

the standard line equation is given as:

y = mx + c

here,

m is the slope

c is the constant

also,

m = \frac{y_2-y_1}{x_2-x_1}

or

m = \frac{810-950}{\textup{2,800-3,500}}

or

m = 0.2

substituting the value of 'm' in the equation, we get

y = 0.2x + c

now,

substituting the x₁ = $3,500 and y₁ = $950 in the above equation, we get

$950 = 0.2 × $3,500 + c

or

$950 = $700 + c

or

c = $250

hence,

The equation comes out as:

y = 0.2x + 250

7 0
1 year ago
To make lemonade, you used one quart of water, one pint of lemon juice, and 9 ounces of your secret ingredient: honey. How much
WITCHER [35]
To solve this problem you must follow the proccedure shown below:

 1. Amount of lemonade in pints:

 1 <span>quart of water=2 pints
 1 pint of lemon
 (9  ounces of honey)(0.0625 pints/1 ounce)=0.56 pints

 Total in pints=2 pints+1 pint+0.56 pints
 Total in pints=3.56 pints

 2. </span>Amount of lemonade in<span> cups:

 Total in cups=(3.56 pints)(2 cups/1 pint)
 Total in cups=7.12 cups

 
3. </span>Amount of lemonade in<span> ounces:

 Total in ounces=(7.12  cups)(8 ounces/1 cup)
 Total in ounces=56.96 ounces</span>
4 0
2 years ago
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