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svlad2 [7]
3 years ago
14

David will spend at most $39 on gifts. So far, he has spent $22. What are the possible additional amounts he will spend? Use c f

or the additional amount (in dollars) David will spend. Write your answer as an inequality solved for c
Mathematics
1 answer:
iren2701 [21]3 years ago
7 0

Answer:

c\leq \$17

Step-by-step explanation:

Let

c -----> the additional amount (in dollars) David will spend

we know that

The word " at most" in this context means "less than or equal to"

The amount David has spent plus possible additional amounts he will spend must be less than or equal to $39

so

The inequality that represent this situation is

22+c\leq 39

solve for c

subtract 22 both sides

c\leq 39-22

c\leq \$17

The maximum amount he could spend is $17

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The quotient of 9.2 x 10 6 and 2.3 x 10 2 expressed in scientific notation is
Virty [35]
What we know:
quotient 9.2 x 10^6/ 2.3 x 10²
in quotients exponents are subtracted of they have the same base, for example 10^6 and 10² have the same base of 10

What we need to find: quotient 9.2 x 10^6/ 2.3 x 10²
9.2 x 10^6        
--------------  =    4 x 10^4    
 2.3 x 10²

Here in this problem I divided 9.2 by 2.3 and got 4, since the solution was simple and clean meaning no repeated decimals I went ahead and divided the 10^6 by 10^2 and got 10^4.


Another method would be to expand both numbers then divide and do scientific notation again.
Remember to change to normal notation you move the decimal to the right using the number of the exponent.

9.2 x 10^6= 9200000
2.3 x 10²= 230

920000/230=40000

40000= 4 x 10^4 scientific notation

Use the method that is best for you or just know you can use either method to check your work.

4 0
3 years ago
500=100(x-1)<br> Someone tell me step by step
Andre45 [30]
First, distribute the 100 to the (x-1) portion:
500 = 100x - 100

then, add 100 to both sides of your equation to get “x” alone on the right side:
500 + 100 = 100x - 100 + 100
600 = 100x

next, divide 100x by 100 and 600 by 100 to isolate a singular “x”:
600/100 = 100x/100
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therefore, x=6 is your solution
5 0
2 years ago
How many wholes are there in 71/8 in a fraction
kipiarov [429]
There would be 8 whole(s) in total.
4 0
3 years ago
Read 2 more answers
Why is it not possible to form a right triangle with the lengths 2, 4, and 7? *
puteri [66]

Answer:

No. The sum of 2 and 4 is less than 7.

Step-by-step explanation:

So, first, to create a triangle, the sum of two smallest sides have to be greater than the longest side, which is 2+4 = 6, and 6 is smaller than 7.

So, no, 2, 4, and 7 cannot create a triangle, to be exact a right triangle.

Hope this helps!!

8 0
3 years ago
Read 2 more answers
I forgot how to do this, can someone help me-
Artyom0805 [142]

Step-by-step explanation:

1) x/20 = -9

By cross multiplication,

x = -180

2) -168 = -14k

k = -168/-14

k = 12

3) -5m = -50

m = 10

4) -320 = -20n

n = 16

5) -4 = x - 5

x = 1

6) -6(-8 + n) = -54

42 - 6n = -54

-6n = -54 -52

6n = 106

n = 17.6

7) 3(x - 9) = -3

3x - 27 = -3

3x = 24

x = 8

8) 9k + 3 = -78

9k = -81

k = -9

9)4 + (n/4) = 8

By taking LCM,

16 + n/4 = 8

16 + n = 32

n = 16

10) -5r + 7 = -73

-5r = -80

r = 16

<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em>

6 0
2 years ago
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