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olya-2409 [2.1K]
3 years ago
13

“ your weekly paycheck is (d) dollars. After spending $13 on groceries, you put 10% of what remains ( 0.10) into a savings accou

nt. Use the distributive property and simplify 0.10(d-13). Then find out how much you put into your savings account if your paycheck is $422. 0.10(d-13)=
Mathematics
1 answer:
olga_2 [115]3 years ago
7 0
the answer is 409×0.10=40.9
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Which phrase best describes the translation from the graph y = 6x2 to the graph of y = 6(x + 1)2?
solmaris [256]

The statement which best describes the translation from the graph y= 6x² to the graph of y = 6(x+1)² is; The translation represents a unit shift rightward.

<h3>Which phrase best describes the translation from the graph?</h3>

The translation involved in the transformation of the graph as given in the task content represents a rightward shift of the graph y = 6x² by 1 unit.

On this note, it follows that the translation involved between the two graphs is; a unit shift to the right.

Read more on translations in graphs;

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3 0
2 years ago
the sum of the digits of a two digit number is 8. the number obtained by interchanging the digits exceeds the original number by
Sedbober [7]

Heya friend,

------------------------------------------------------

Let the digits at ones place be x. Then,

the digits at tens place = (8-x)

Original number = 10(8-x) + x

= 80 - 10x + x

= 80 - 9x

On interchanging the digits

new number obtained = 10x + 8-x

= 9x + 8

According to question,

New number - Original number = 18

9x + 8 - (80-9x) = 18

=> 9x + 8 - 80 + 9x = 18

=> 18x - 72 = 18

=> 18x = 18 + 72

=> 18x = 90

=> x = 90/18

=> x = 5

Hence, the digits at ones place is 5.

The digits at tens place = (8-5) = 3.

So, the original number is 35 and the new number is 53.

Thanks

8 0
3 years ago
Avi's pet hamster chubby loves to run in his hamster wheel. during one "race", avi counts 100 rotations of the wheel. she wants
yKpoI14uk [10]
If the diameter is 8 inches, the circumference is 8π inches.  So if the pet turned the wheel 100 revolutions the distance traveled is:

d=100(8π) inches

d=800π inches

d≈2513.27 inches
5 0
3 years ago
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Find the length of the missing side and leave the answer in the simplest form.
Kazeer [188]

Answer:

C. 3•√5

Step-by-step explanation:

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3 years ago
Find the perimeter of an equilateral triangle that has a side measure of<br> 45 cm.
Sav [38]

A triangle with 45 cm of perimeter has 15 cm of side. The

"altitude" connects the middle of one side to the opposite vertice. This forms a rectangle triangle with hypothenuse 15 cm and the small catet a= 7.5 cm. So by the Pythagoras theorem we must solve the equation:

7.5^2+b^2=15^2

b=sqrt(225-56.25)=sqrt(168.75)=12.99 cm

Other solution was using trigonometry:

b/(side)= sin(pi/3)=sqrt(3)/2

b=7.5*sqrt(3)/2=12.99 cm

7 0
3 years ago
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