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Olin [163]
3 years ago
12

(05.02 MC)

Mathematics
1 answer:
Elanso [62]3 years ago
4 0

His work should have looked like this.

2x + y = 5
x − 2y = 10

y = 5 − 2x
x − 2(5 − 2x) = 10
x − 10 + 4x = 10
5x − 10 = 10                  When he added in both sides, he subtracted 10 from 10,
5x = 20                      instead of adding 10 from 10 to make 20.
x = 4
2(4) + y = 5
8 + y = 5

y = -3

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What is 3a squared multiplied by 5a
Travka [436]
3a^2 *5a \to \boxed{15a^3}
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Weiming, Joyce and Siti divide cookies to sell in a ratio of 5: 12: 9. After Weiming sold 28 cookies, the ratio becomes 1: 8: 6.
Strike441 [17]

Answer:

216 cookies

Step-by-step explanation:

From the question,

Let the total cookies in the first place be x cookies.

Their ratio = 5:12:9

Total  = 5+12+9 = 26.

Weiming share = (5/26)x = 5x/26

If weiming sold 28 cookies

⇒ (5x/26)-28

⇒ (5x-728)/28

Hence Weiming new share = (5x-728)/28 cookies

The new ratio is 1:8:6

The total cookies becomes = x-28

Therefore,

(1/15)(x-28) = (5x-728)/28

(x-28)/15 = (5x-728)/28

Crossmultiply

28(x-28) = 15(5x-728)

28x-784 = 75x-10920

Collect like terms

28x-75x = -10920+784

-47x = -10136

x = -10136/-47

x = 215.7

x ≈ 216 cookies

8 0
3 years ago
2. Gerald wants to buy a gel pen that costs
dolphi86 [110]

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4 0
3 years ago
The park and movie theater are 3.4 inches apart on a map. If the map has a scale of 0.25 inch = 5 miles, find the actual distanc
lianna [129]

The actual distance between park and movie theater is 68 miles, if the park and movie theater are 3.4 inches apart on a map and the map has a scale of 0.25 inch = 5 miles.

Step-by-step explanation:

The given is,

             Park and movie theater are 3.4 inches apart

             Map has a scale of 0.25 inch = 5 miles

Step:1

            Formula to calculate the number of scales for distance between park and theater,

                                        = \frac{Distance in map}{Scale value of map}

                                        = \frac{3.4}{0.25}

                                        = 13.6

            number of scales for distance between park and theater  = 13.6

Step:2

            Formula to convert distance inches to miles

                                      = Number of scale × Equivalent value inches to miles

                                      = 13.6 × 5

                                      = 68

            Actual distance between park and theater = 68 miles

Result:

           The actual distance between park and movie theater is 68 miles, if the park and movie theater are 3.4 inches apart on a map and the map has a scale of 0.25 inch = 5 miles.

6 0
3 years ago
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