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12345 [234]
2 years ago
8

The local shelfer

Mathematics
1 answer:
Yuliya22 [10]2 years ago
8 0

d + c = 19

100d + 15c = 1390

we can simplify the second equation

20d + 3c = 278

now d + c = 19

c = 19 - d

3c = 57 - 3d

now plug into second equation

20d + 57 - 3d = 278

17d = 278 - 57

17d = 221

d = 221 / 17

d = 13

now we can plug this into the first equation

13 + c = 19

c = 19 - 13

c = 6

13 dogs were sold and 6 cats were sold

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Describe how to determine which side of the boundary line should be shaded
iogann1982 [59]
Hello Bri,

If you are talking about a boundary line on a coordinate plane, the best way to determine which side to shade is to start by selecting a coordinate point (x, y) that is not on the line.

Then, substitute those values into your inequality. Simplify the inequality. If the resulting statement is true, then shade the side with your point. If the resulting statement is false, then shade the other side.

Testing a point like this shows the side of the inequality that is the solution and needs to be shaded.

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8 0
3 years ago
Suppose you only have hundreds, ten's, and ones blocks. What are two different ways you could make the number 1,718
Viktor [21]
17 hundreds 1 ten 8 ones --- 17 hundreds 18 ones
3 0
3 years ago
Amanda, Boris, and Jose sent a total of 124 text messages during the weekend. Amanda sent 8 fewer messages than Jose
GrogVix [38]

Answer:

Amanda= 14

Boris = 88

Jose= 22

Step-by-step explanation:

Amanda= jose-8

Boris = 4×jose

Jose= Jose

total all = 124

(jose-8)+(jose×4)+(jose)= 124

so we substitute jose with X .

(X-8)+(4X)+(X)=124

6X-8= 124.

6X=124+8

X=132/6

X= 22.

so that total jose is 22, minus 8 we get Amanda, times 4 we get Boris.

7 0
2 years ago
Jim is 5 years older than Cindy. 4 years ago, the sum of their ages was 21. Find each of their ages now.
Dmitry_Shevchenko [17]
Jim is 16 because take away 21-5=16.Now Cindy 21-4=17.Cindy is 17.Jim is 16.
4 0
3 years ago
Use a half-angle identity to find the exact value of sinPi/8
stellarik [79]

Answer:

  sin(π/8) = (1/2)√(2-√2)

Step-by-step explanation:

Using the half-angle formula ...

  \sin{\dfrac{\theta}{2}}=\sqrt{\dfrac{1-\cos{\theta}}{2}}

We can let θ = π/4 and simplify the result as follows:

  \sin{\dfrac{\pi}{8}}=\sqrt{\dfrac{1-\cos{(\pi/4)}}{2}}=\sqrt{\dfrac{1-\dfrac{\sqrt{2}}{2}}{2}}=\sqrt{\dfrac{2-\sqrt{2}}{4}}\\\\=\boxed{\dfrac{1}{2}\sqrt{2-\sqrt{2}}}}

5 0
3 years ago
Read 2 more answers
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