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yarga [219]
3 years ago
15

For a special order, The ABC company manufactured 400 shirts. Sweatshirts were priced at $35 each and T-shirts at $25 each. The

company received a total of $11,500 for the shirts. How many of each type of shirt did the ABC company manufacture for this order?
Show work
Mathematics
1 answer:
hodyreva [135]3 years ago
6 0

Answer:

Thy bought 150 Sweatshirts (x) and 250 tshirts (y)

Step-by-step explanation:

35x + 25y = 11500

x + y = 400

-25 (x + y = 400) Multiply by -25 to get the y's to disappear when you add the two equations together

-25x - 25y = 10000

<u> 35x + 25y = 11500   </u>

10x =1500

x = 150

Plug 150 in either equation for x to find y

150 + y = 400

y = 250

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pshichka [43]

Answer: 900 inches


Step-by-step explanation:

There is 12 inches in a feet so you would have to multiply 12 x 75 and that equals 900.


4 0
3 years ago
Given: ∆ABC, AB = CB BD − median to AC E∈ AB ,F∈ BC AE = CF Prove: △ADE ≅ △CDF ΔBDE ≅ ΔBDF
NemiM [27]

Answer:

1) By SAS theorem, ΔADE≅ΔCDF

2) By SSS theorem, ΔBDE≅ΔBDF

Step-by-step explanation:

Consider isosceles triangle ABC (see diagram).

1. In triangles ADE and CDF:

  • AD≅DC (since BD is median, then it divides side AC in two congruent parts);
  • AE≅CF (given);
  • ∠A≅∠C (triangle ABC is isosceles, then angles adjacent to the base are congruent).

By SAS theorem, ΔADE≅ΔCDF.

2. In triangles BDE and BDF:

  • side BD is common;
  • DE≅DF (ΔADE≅ΔCDF, then congruent triangles have congruent corresponding sides);
  • BE≅FB (triangle ABC is isosceles, AB≅BC, AE≅CF, then BE=AB-AE, FB=BC-CF).

Be SSS theorem, ΔBDE≅ΔBDF.

7 0
3 years ago
If triangle ABC is congruent to triangle DEF, which statement is not true?
Blizzard [7]
When you name two congruent triangles with the letters of the vertices, you have to keep the order of the corresponding vertices. That means, that when you say triangle ABC is congruent to DEF, the corresponding congruent angles are A = D, B = E, and C = F. regarding the sides, segment AB = segment DE, segment BC = segment EF, and segment CA = segment FD. Then, the answer is that, of the four options,<span> the one that is not true is the option b, because as we already said the corresponding equal angle C is F, not E.</span>
5 0
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A pitcher contains 40 fluid ounces of tea Shelby pour 3 cups of tea how many pints are left
Nastasia [14]

Answer:

1 pint of tea left in the pitcher.

Step-by-step explanation:

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After pouring tea in 3 cups,

tea left in pitcher = 40 - 24 = 16 fluid ounces

1 pint = 16 ounces

Therefore, 1 pint left.

Hope this will helpful.

Thank you.

8 0
3 years ago
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mina [271]
Use the distributive property:
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