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Black_prince [1.1K]
3 years ago
10

16-2t=5t+9 any answers

Mathematics
2 answers:
kirza4 [7]3 years ago
7 0

Answer:

t = 1

Step-by-step explanation:

Combine the t terms on the right side, so that the resulting t term will have a positive coefficient:

16 = 7t + 9

Subtract 9 from both sides, to isolate 7t:

7 = 7t

Divide both sides by 7 to obtain a solution:

t = 7/7 = 1

t = 1

just olya [345]3 years ago
3 0
The answer is: t = 1

You need to separate t from everything to figure out what it is.

Step 1: Subtract 9 from both sides, so we get 7 - 2t = 5t

Step 2: Add 2t to both sides, so we get 7 = 7t.

Step 3: Divide by 7, meaning t = 1.

Next you should check your work. If we plug 1 in for t, we get 14 = 14, so the answer is correct.

Hope this helps!
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An element with mass 490 grams decays by 28.6% per minute. How much of the element is remaining after 16 minutes, to the nearest
agasfer [191]

Answer:

2.2 grams

Step-by-step explanation:

We can use the compound decay formula shown below to solve this:

F=P(1-r)^t

Where

F is the final amount (what we want to find)

P is the present amount (490 grams)

r is the rate of decay, in decimal (28.6% = 28.6/100 = 0.286)

t is the time in minutes (16)

Substituting, we get:

F=P(1-r)^t\\F=490(1-0.286)^{16}\\F=490(0.714)^{16}\\F=2.2355

So, after 16 minutes, 2.2355 grams will be remaining.

<em>Rounded to nearest tenth of a gram (1 decimal place) = </em><em>2.2 grams remaining</em>

5 0
3 years ago
A store manager at a local clothing store recorded the number of customers that visited the store each day for two weeks. 20, 24
krok68 [10]

Answer:

STEM ______ Leaf

2 ______ 0 0 2 4

3 _______ 6 8

4 _______ 2 7

5 ______ 5 7

6 ______ 1 2 3 5

Step-by-step explanation:

Given that data:

20, 24, 65, 36, 47, 55, 62, 20, 22, 63, 38, 42, 57, 61

STEM ______ Leaf

2 ______ 0 0 2 4

3 _______ 6 8

4 _______ 2 7

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The unique numbers which starts each value is the stem while the second digit of each unique stem is the leaf.

8 0
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All the dimensions of a triangle were multiplied by the same factor. If the base of the triangle went from 1 centimeter to 3 cen
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The answer is 9.

To calculate this, we will use Galileo's square cube law, used to describe the change of the area or the volume of the shape, when their dimensions increase or decrease. The formula used for change of the area is
A_2= A_1 (\frac{l_2}{l_1} )^{2}
A₂ - the area after the change,
A₁ - the area before the change,
l₂ - the dimension after the change,
l₁ - the dimension before the change.


It is given:
l₁ = 1 cm
l₂ = 3 cm

Let's use this formula for the mentioned triangle:
A_2=A_1( \frac{l_2}{l_1}) ^{2}  =A_1( \frac{3}{1})^{2} =A_1*3 ^{2} =9A_1

Therefore, the area of the triangle was multiplied by 9.
8 0
3 years ago
Please help I WILL OFFER 20 POINTS! - Keisha, Bob, and Tom sent a total of 132 text messages over their cell phones during the w
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Answer:

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Step-by-step explanation:

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In ΔABC (m∠C = 90°), the points D and E are the points where the angle bisectors of ∠A and ∠B intersect respectively sides BC an
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This is a little long, but it gets you there.

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  2. EH ≅ EC . . . . . . . . . CPCTC
  3. ∠ECH ≅ ∠EHC . . . base angles of isosceles ΔEHC
  4. ΔAHE ~ ΔDGB ~ ΔACB . . . . AA similarity
  5. ∠AEH ≅ ∠ABC . . . corresponding angles of similar triangle
  6. ∠AEH = ∠ECH + ∠EHC = 2∠ECH . . . external angle is equal to the sum of opposite internal angles (of ΔECH)
  7. ΔDAC ≅ ΔDAG . . . HA theorem
  8. DC ≅ DG . . . . . . . . . CPCTC
  9. ∠DCG ≅ ∠DGC . . . base angles of isosceles ΔDGC
  10. ∠BDG ≅ ∠BAC . . . .corresponding angles of similar triangles
  11. ∠BDG = ∠DCG + ∠DGC = 2∠DCG . . . external angle is equal to the sum of opposite internal angles (of ΔDCG)
  12. ∠BAC + ∠ACB + ∠ABC = 180° . . . . sum of angles of a triangle
  13. (∠BAC)/2 + (∠ACB)/2 + (∠ABC)/2 = 90° . . . . division property of equality (divide equation of 12 by 2)
  14. ∠DCG + 45° + ∠ECH = 90° . . . . substitute (∠BAC)/2 = (∠BDG)/2 = ∠DCG (from 10 and 11); substitute (∠ABC)/2 = (∠AEH)/2 = ∠ECH (from 5 and 6)
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3 years ago
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