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cupoosta [38]
3 years ago
7

For each problem, identify any important quantities. If it's a known quantity, write the

Mathematics
1 answer:
Tema [17]3 years ago
4 0

Answer:

We have the problem:

"Clare is in charge of getting snacks for a road trip with her friends and her dog. She has

$35 to go to the store to get some supplies. The snacks for herself and her friends cost

$3.25 each, and her dog's snacks costs $9 each."

In this situation we have two variables:

X =  number of snacks for herself and her friends that she buys. Each one of these costs $3.50

Y = number of snacks for her dog that she buys. Each one of these costs $9.

The total cost, in this case, can be written as:

X*$3.50 + Y*$9

And we know that she has $35 to spend, so she can spend $35 or less in the store, then we have the inequality:

X*$3.50 + Y*$9  ≤ $35

Where we defined all the quantities in the inequality.

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X + y = 152,<br><br> 8.5x + 12y = 1,656<br><br> How many hats were sold?
Elodia [21]

Answer:

x = 48 and y = 104

Step-by-step explanation:

Given equations are:

x+y = 152\\8.5x+12y=1656

From equation 1:

x = 152-y

Putting the value of y in equation 2

8.5(152-y)+12y = 1656\\1292-8.5y+12y = 1656\\3.5y+1292 = 1656\\3.5y = 1656-1292\\3.5y = 364\\\frac{3.5y}{3.5} = \frac{364}{3.5}\\y = 104

Now we have to put the value of y in one of the equation to find the value of x

Putting y = 104 in the first equation

x+y = 152\\x+ 104 = 152\\x = 152-104\\x = 48

Hence,

The solution of the system of equations is x = 48 and y = 104

The value of variable which was assumed for number of hats, is the total number of hats.

6 0
3 years ago
Reduce 36/45 to lowest terms and write the numerator in the blank.
saveliy_v [14]
4/5 is your answer

Hope this helps
7 0
4 years ago
Read 2 more answers
Consider the parent function f(x)=e^x and transformed function g(x)=-f(x)-4. Which features of function F function G are differe
eduard

There are no results for Consider the parent function f(x)=e^x and transformed function g(x)=-f(x)-4. Which features of function F function G are different

3 0
3 years ago
Given: ΔPSQ, PS = SQ Perimeter of ΔPSQ = 50 SQ – PQ = 1 Find: Area of ΔPSQ
Lana71 [14]

Answer:

  120 units²

Step-by-step explanation:

Perimeter = PS + SQ + PQ

50 = SQ + SQ + (SQ -1)

51 = 3SQ

17 = SQ

17 -1 = 16 = PQ

The midpoint of the base is one leg of the right triangle whose other leg is the height of this isosceles triangle. That height is ...

  h = √(17² -(16/2)²) = √225 = 15

Then the area is ...

  A = (1/2)bh = (1/2)(16)(15) = 120 . . . . . square units

8 0
3 years ago
Steves pattern: 4, 25, 130, 665. what is steves pattern?
Diano4ka-milaya [45]

Answer: (4+1)*5=25; (25+1)*5=130; (130+1)*5=655.

Step-by-step explanation:

7 0
3 years ago
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