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worty [1.4K]
2 years ago
14

The seventh graders at your school have collected 345 cans for the canned food drive and are averaging 115 cans per day. The eig

hth graders have collected 255 cans, but vow to win the contest by collecting an average of 130 cans per day. If both grades continue collecting at these rates, after how many days will the number of cans they have collected be equal?
Mathematics
1 answer:
Elden [556K]2 years ago
5 0

Answer:

6 days until the cans collected between the 7th and 8th graders will be equal

Step-by-step explanation:

345 + 115 x 7 = 1035

255 + 130 x 7 = 1035

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Solve the equation without the use of a calculator. please Help!!! Thank you!!!<br> 12x^3-30x=8-2x^2
Arisa [49]

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3 0
2 years ago
A piece if wire 40cm is bent to form a right angled triangle whose hypotenuse is 17cm long find the other two sides of triangle
hjlf

Answer: 150mm

Step-by-step explanation:

Take the two adjecent sides of the triangle to be x and y and X is the angle opposite the side, x.

From the trigonometric identities for a right-angled triangle, it is known that

x=170sin X and;

y=170cos X

Thus the perimeter of the triangle is given by

170sin X + 170cos X + 170 = 400

170(sin X + cos X) = 400 - 170

170(sin X + cos X) = 230

sin X + cos X = 230/170 = 1.3529

Squaring both sides hence,

sin^2(X) + 2sin X.cos X + cos^2(X) = 1.8304

Recall that sin^2(X) + cos^2(X) = 1 and 2sin X.cos X = sin 2X.

Thus, the former expression gives;

1 + sin 2X = 1.8304

sin 2X = 0.8304

2X = arcsin (0.8304)

2X = 56.14° or (180 - 56.14)° = 56.14° or 123.86° for X existing within a triangle.

X = 56.14/2 or 123.86/2

X = 28.07° or 61.93°

Thus the two adjacent sides are ;

x = 170 sin (28.07) = 80mm

y = 170 cos (28.07) = 150mm

Using the value of 61.93° as X would give the same values but interchanged for x and y.

I hope you find this useful.

5 0
3 years ago
Please help if possible :)
n200080 [17]

9514 1404 393

Answer:

  (a) no

  (b) no

Step-by-step explanation:

The two questions are asking essentially the same thing. There is nothing that indicates DC ≅ DB or that AC ≅ AB. One (both) of these conditions is (are) required for ΔBAC to be isosceles, so that AD is both a perpendicular bisector of BC and a bisector of angle BAC.

There is not enough information to answer either question affirmatively.

8 0
3 years ago
What is the value of the expression 2x² – 5x + 6 when<br> x = -2?
Svet_ta [14]

Answer:

24 is correct answer

Step-by-step explanation:

2 {x}^{2}  - 5x + 6 \\  = 2 {( - 2)}^{2}  - 5 \times ( - 2) + 6 \\  = 2 \times 4 + 10 + 6 \\  = 8 + 10 + 6  \\  = 24

hope it helped you:)

3 0
3 years ago
FIRST PERSON WHO ANSWERS THIS CORRECTLY GETS BRAINLIEST
Firdavs [7]

Answer: Im pretty sure it would be 67, find area of each side then add

6 0
3 years ago
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