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Mrrafil [7]
3 years ago
6

The sum of two numbers is 56. the sum of the smaller and 5 times the larger is 192. find the numbers.

Mathematics
1 answer:
Kamila [148]3 years ago
3 0

Let the numbers = x,y

x+y = 56      1st eqn

x+5y = 192   2nd eqn

56-y+5y = 192

4y = 136

y = 34

substitute that in 1st eqn, x = 56-34 = 22

So, smaller number = 22 & Larger number = 34



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The perimeter of a rectangular field is 364 yards. If the width of the field is 84 yards, what is its length?
elena55 [62]

The perimeter of a rectangular field is 364 yards. If the width of the field is 84 yards, what is its length?


(364 : 2) - 84 =

182 - 84 =

98



3 0
3 years ago
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vazorg [7]

Answer:

x = -2

Step-by-step explanation:

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Please help! I keep on getting the wrong answer!
valentina_108 [34]

Answer:

CODE: 1977.98

Step-by-step explanation:

A.

(To get the closest answer, round the circumference to the nearest ten thousandth.)

C = 2(3.14)r                      Circumference formula: C = 2πr

C = 2(3.14)(3)

C = 18.84

B.

A = (3.14)r²

A = (3.14)(3)²

A = (3.14)(9)

A ≈ 28.26

C. (It's asking for the circumference.)

C = 2(3.14)r

C = 2(3.14)(58)

C ≈ 364.24

D. (It's a linear pair, which is 180 degrees.)

4x + 2x = 180

6x = 180

x = 30

m∠ABD = 4x

m∠ABD = 4(30)

m∠ABD = 120°

E. (∠GHI & ∠JHK are vertical angles, so they are congruent.)

x + 7 = 3x - 21

28 = 2x

14 = x

F. (x = 14)

m∠JHK = 3x - 21

m∠JHK = 3(14) - 21

m∠JHK = 42 - 21

m∠JHK = 21°

G. (Supplementary - two angles that add up to 180 degrees.)

180 - 84

= 96°

CODE: E(C - D) - F(G - B) - A

CODE: 14(364.24 - 120) - 21(96 - 28.26) - 18.84

CODE: 14(244.24) - 21(67.74) - 18.84

CODE: 3419.36 - 1422.54 - 18.84

CODE: 1977.98

8 0
2 years ago
The volume of a pyramid is 37cm3. Its base area is 6cm2. What is its height? Round your answer to the nearest tenth of a unit.
STALIN [3.7K]

Answer 3.1

Here's the formula:

V=\frac{lwh}{3}

H=3\frac{V}{lw}

3 ·  \frac{37}{6x6} ≈ 3.08333

rounded to : 3.1

(P.S. I also Used a calculator)

7 0
3 years ago
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