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faust18 [17]
4 years ago
6

13. Your business needs to ship a package to another store. Company A charges $2.50 per pound plus a

Mathematics
1 answer:
hichkok12 [17]4 years ago
4 0
<h3>For 10 pounds, both companies cost the same</h3>

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

Let "x" be the pounds

<em><u>Company A charges $2.50 per pound plus a  $20 service charge</u></em>

Cost : 2.50x + 20 ------ eqn 1

<em><u>Company B charges $4.50 per pound without any service charge</u></em>

Cost : 4.50x ------- eqn 2

<em><u>At what weight does it cost the same for both companies?</u></em>

For both companies to cost the same, eqn 1 must be equal to eqn 2

2.50x + 20 = 4.50x

4.50x - 2.50x = 20

2x = 20

Divide both sides by 2

x = 10

Thus for 10 pounds, both companies cost the same

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Find the value of y in the equation attached to this question
dlinn [17]

Answer:

y = 4

Step-by-step explanation:

1) Simplify 3^5 to 243.

{9}^{y}=\frac{243\times {9}^{6}}{{27}^{3}}

2) Simplify {9}^{6} to 531441.

{9}^{y}=\frac{243\times 531441}{{27}^{3}}

3)  Simplify  243\times 531441 to  129140163.

{9}^{y}=\frac{129140163}{{27}^{3}}

4) Simplify  {27}^{3}  to  19683.

{9}^{y}=\frac{129140163}{19683}

5) Simplify  \frac{129140163}{19683} to 6561.

{9}^{y}=6561

6) Convert both sides to the same base.

9^y=9^4

7)  Cancel the base of 9 on both sides.

y=4

Cheers,

ROR

3 0
3 years ago
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Help me please <br> I’ll make it brainliest !!!!!
gladu [14]

Answer:

The answer is the first option

Step-by-step explanation:

8 0
3 years ago
in parallelogram ABCD, AC is diagonal, the measure &lt;ABC is 40°, and the measure of &lt;ACD IS 57°. what is the measure of &lt
Nutka1998 [239]

Answer: \angle CAD = 83^\circ Option D


Step-by-step explanation:

In this question we use properties of parallelogram and angle sum property of a triangle.

In parallelogram ABCD


\angle ABC=40^\circ


As, we know that opposite angles of parallelogram are equal


Therefore,


\angle ABC =\angle ADC =40^\circ


Now, in triangle ADC

We know that sum of all the angles of a triangle is =180^\circ


\angle ACD +\angle ADC +\angle DAC =180^\circ


57^\circ +40^\circ +\angle DAC =180^\circ


97^\circ + \angle DAC = 180^\circ

Subtracting 97 from both sides we get


\angle DAC = 180^\circ - 97^\circ


\angle DAC = 83^\circ


Measure of \angle CAD = 83^\circ


3 0
3 years ago
Evaluate the following: 18 + 3 16 - 251 - 11
VLD [36.1K]

Answer:

18+316−251−11

=72

Step-by-step explanation:

18+316−251−11

=334−251−11

=83−11

=72

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3 years ago
153000 in standard form?
lara31 [8.8K]
153 000 = 100 000 + 50 000 + 3 000
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