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Masteriza [31]
2 years ago
14

You are the senior class president and are selling items for a school fundraiser. You have cell phone cases and t-shirts that ha

ve the school logo on
them for sale. Each case costs $12, and each t-shirt costs $7 After selling a total of 60 items, you have made a total of $450. How many cases and t-
shirts were sold?
Mathematics
1 answer:
andrew11 [14]2 years ago
3 0

The $450 of total amount made and the total number of items sold of 60

gives the items sold as 54 T-shirts and 6 cases.

Response:

  • 54 T-shirts sold and 6 cases where sold

<h3>Which method can be used to find the number of T-shirts and cases sold?</h3>

The given parameters are;

The cost of each case = $12

Cost of each T-shirt = $7

Number of items sold = 60

The amount made = $450

Required;

The number of shirt and T-shirt sold

Solution:

Let <em>x</em> represent the number of T-shirt sold and let <em>y</em> represent the number

of cases sold, we have the following simultaneous equation;

  • 7·x + 12·y = 450
  • x + y = 60

Which gives;

y = 60 - x

7·x + 12·(60 - x) = 450

7·x + 12 × 60 - 12·x = 450

5·x = 12 × 60 - 450 = 270

x = \dfrac{270}{5} = 54

x = 54

  • The number of T-shirts sold, x = <u>54</u>
  • The number of cases sold, y = 60 - 54 =<u> 6</u>

Learn more about simultaneous equations here:

brainly.com/question/904961

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Nikolay [14]

Answer: <1 = 26°

Step-by-step explanation:

given that:

• <ABD = 66°

• <2 = 14° + <1 (since ''more than' means we add)

• Find <1

Since it is obvious that <ABD is a sum of <1 and <2:

⇒ <ABD = <1 + <2

now we know that <2 is 14° more than <1 and that <ABD = 66°

⇒ 66° = <1 + (14° + <1)

⇒ 66° = <1 + 14° + <1

⇒ <1 = (66° - 14°) ÷ 2

⇒ <1 = 26° ...Answer...

hope that helps...

8 0
2 years ago
(4+2x)+(3+1x) simplify!
larisa [96]

Answer:

3x+7

Step-by-step explanation:

8 0
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Answer:

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Step-by-step explanation:


8 0
3 years ago
Barb is going to cover a rectangle area 8 feet by 10 feet with rectangle paving blocks that are 4 inches by 8 inches by 2 inches
soldier1979 [14.2K]

Step-by-step explanation:

First, transform 8 feet and 10 feet into inches so we can work with the same measurements

8 * 12 = 96 in

10 * 12 = 120 in

Next find the patio rectangle area.

96 * 120 = 11520 in^2

Now find the paving block area

4 * 8 = 32 in^2

Now, find out how many paving blocks will go into the patio rectangle area.

11520 / 32 = 360

The minimum number is 360 paving blocks

5 0
3 years ago
How much money has to be invested at 5.9% interest compounded continuously to have $15,000 after 12 years?
scoray [572]

The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.

Step-by-step explanation:

The given is,

                Future value, F  = $15,000

                           Interest, i = 5.9%

              ( compounded continuously )

                            Period, t = 12 years

Step:1

           Formula to calculate the present with compounded continuously,

                                       F=Pe^{(i)(t)}...............(1)

           Substitute the values in equation (1) to find the P value,

                                  15000=Pe^{(0.059)(12)}          ( ∵ i = \frac{5.9}{100}=0.059 )

                                  15000=Pe^{0.708}

                                  15000=P(2.0299)             ( ∵ e^{o.708} =2.0299 )

            We change the P (Present value) into the left side,

                                        P=\frac{15000}{2.0299}

                                            =7389.427

                                            ≅ 7389.43

                                         P = $ 7389.43

Result:

           The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.  

                       

8 0
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