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-Dominant- [34]
3 years ago
6

Pen are shipped to the office supply store in boxes of 12 each. Write a function rule to calculate the total number of pens when

you know the number of boxs.
Mathematics
1 answer:
Tom [10]3 years ago
6 0

p = 12x is the  function rule to calculate the total number of pens when you know the number of boxes

<em><u>Solution:</u></em>

Given that,

Pen are shipped to the office supply store in boxes of 12 each

To find: Write a function rule to calculate the total number of pens when you know the number of boxes

Let "p" be the total number of pens

Let "x" be the number of boxes

Number of pens in each box = 12

Then from given information,

Total number of pens = Number of boxes multiplied by number of pens in each box

p = x \times 12\\\\p = 12x

Thus the function rule is found

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I need help finishing the proof
erastova [34]

Answer:

See proof

Step-by-step explanation:

      Statements                  Reasons

1. \overline{AEC} bisects \angle DAB,\ \angle 1\cong \angle 2   Given

2. \angle 3\cong \angle 4                Definition of angle bisector

3. \overline{AE}\cong \overline{AE}                Reflexive property of equality

4. \triangle ABE \cong \triangle ADE               AAS postulate

5. \overline {AB}\cong \overline{AD}             Congruent triangles have congruent corresponding sides

6. \overline{AC}\cong \overline{AC}                Reflexive property of equality

7. \triangle BAC \cong \triangle DAC                   SAS postulate

8. \overline {BC}\cong \overline{CD}             Congruent triangles have congruent corresponding sides

6 0
3 years ago
Is TAG BAG? IF so, identif th similarity postulate or theorem that applies
kodGreya [7K]

Step 1

Given;

Triangle\text{ TAG \textasciitilde Triangle BAG}

Required; To find the similarity postulate or theorem that applies.

Step 2

Both triangles share one side AG

They also have a common angle;

90^o

Side AG = 10 units and ∠AGT ≅ ∠AGB.

Thus, options A and B are discarded.

Step 3

Now, as for the SAS criteria, we need two sides to be congruent and their included angles to be congruent.

But, as no other information is given, we cannot determine whether the given triangles are congruent or not.

Therefore, the answer is; Option D

cannot\text{ be determined}

4 0
1 year ago
Find the value of <br> x<br> y, and <br> z in the parallelogram below.
EastWind [94]
Let A be the angle of 79 degrees
B be the angle of (5y-4) degrees
C be the angle of (x+5) degrees
D be the angle of (9z-7) degrees
According to the property of parallelogram
Opposite angles are equal
We get, angle A = angle C
Since angle A = 79 degrees
And angle C = (x+5) degrees
We get, x+5=79
=> x=79-5=74.

Angle B = Angle D
(5y-4)=(9z-7)
Since there’s two variables here, we can’t use the property of “opposite angles are equivalent”
We have to use another property which is adjacent angles are equal
Therefore, we can find angle D
Angle D + Angle A=180
=> 9z-7 =180-79
z=108/9
z=12
Since (5y-4)=(9z-7)
Substitute z=12 in
We get, 5y-4=101
y= 105/5
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Therefore, x=74, y=21 and z=12.
6 0
1 year ago
D) To mix fertilizer correctly. 8
Bas_tet [7]
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6 0
3 years ago
Kathryn deposits 100 into an account at the beggining of each 4 year period for 40 years. The account credits interest at an eff
OleMash [197]

Answer:

6194.84

Step-by-step explanation:

Using the formula for calculating accumulated annuity amount

F = P × ([1 + I]^N - 1 )/I

Where P is the payment amount. I is equal to the interest (discount) rate and N number of duration

For 40 years,

X = 100[(1 + i)^40 + (1 + i)^36 + · · ·+ (1 + i)^4]

=[100 × (1+i)^4 × (1 - (1 + i)^40]/1 − (1 + i)^4

For 20 years,

Y = A(20) = 100[(1+i)^20+(1+i)^16+· · ·+(1+i)^4]

Using X = 5Y (5 times the accumulated amount in the account at the ned of 20 years) and using a difference of squares on the left side gives

1 + (1 + i)^20 = 5

so (1 + i)^20 = 4

so (1 + i)^4 = 4^0.2 = 1.319508

Hence X = [100 × (1 + i)^4 × (1 − (1 + i)^40)] / 1 − (1 + i)^4

= [100×1.3195×(1−4^2)] / 1−1.3195

X = 6194.84

4 0
3 years ago
Read 2 more answers
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