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sashaice [31]
3 years ago
10

Can someone help with #3 and show your work !!

Mathematics
2 answers:
ioda3 years ago
8 0
If s represents the number of songs Kim downloads, her expenses for a month must satisfy the inequality
  5.00 + 0.58·s ≤ 13.00

To solve this, subtract 5.00 to get the s-term by itself, then divide by the coefficient of s.
  0.58·s ≤ 8.00
  s ≤ 8.00/0.58 ≈ 13.79
The number of songs must be an integer, so we conclude Kim can download 13 songs, but not 14 songs.

Kim can download 13 songs without exceeding her budget.
Sphinxa [80]3 years ago
6 0
13-5=8 
8 divided by .58 =
 round up number she can download 13 songs<span />
You might be interested in
Which plot has an outlier?
inna [77]

Answer:

girls

Step-by-step explanation:

an outlier is a number that is greater than the others.

boys doesnt have and outlier because the highest number has other numbers near it, while girls doesn't.

5 0
3 years ago
I geologist note is that the land alone at fault line moved 24.8 cm over the past 175 years on average how much did the land mor
zmey [24]
First, let's establish a ratio between these two values. We'll use that as a starting point. I personally find it easiest to work with ratios as fractions, so we'll set that up:

\frac{24.8\ cm}{175\ years}

To find the distance <em>per year</em>, we'll need to find the <em>unit rate</em> of this ratio in terms of years. The word <em>unit</em> refers to the number 1 (coming from the Latin root <em>uni-</em> ); a <em>unit rate</em> involves bringing the number we're interested in down to 1 while preserving the ratio. Since we're looking for the distance the fault line moves every one year, we'll have to bring that 175 down to one, which we can do by dividing it by 175. To preserve our ratio, we also have to divide the top by 175:

\frac{24.8\ cm}{175\ years}\div  \frac{175}{175}  \approx  &#10;\frac{0.14\ cm}{1\ year}

We have our answer: approximately 0.14 cm or 1.4 mm per year
3 0
3 years ago
Solution for: <br> -x + 3y -2z = 19<br> 2x + y - z = 5<br> -3x - y + 2z = -7
STatiana [176]

Answer:

x = -1 , y = 4 , z = -3

Step-by-step explanation:

Solve the following system:

{-x + 3 y - 2 z = 19 | (equation 1)

2 x + y - z = 5 | (equation 2)

-3 x - y + 2 z = -7 | (equation 3)

Swap equation 1 with equation 3:

{-(3 x) - y + 2 z = -7 | (equation 1)

2 x + y - z = 5 | (equation 2)

-x + 3 y - 2 z = 19 | (equation 3)

Add 2/3 × (equation 1) to equation 2:

{-(3 x) - y + 2 z = -7 | (equation 1)

0 x+y/3 + z/3 = 1/3 | (equation 2)

-x + 3 y - 2 z = 19 | (equation 3)

Multiply equation 2 by 3:

{-(3 x) - y + 2 z = -7 | (equation 1)

0 x+y + z = 1 | (equation 2)

-x + 3 y - 2 z = 19 | (equation 3)

Subtract 1/3 × (equation 1) from equation 3:

{-(3 x) - y + 2 z = -7 | (equation 1)

0 x+y + z = 1 | (equation 2)

0 x+(10 y)/3 - (8 z)/3 = 64/3 | (equation 3)

Multiply equation 3 by 3/2:

{-(3 x) - y + 2 z = -7 | (equation 1)

0 x+y + z = 1 | (equation 2)

0 x+5 y - 4 z = 32 | (equation 3)

Swap equation 2 with equation 3:

{-(3 x) - y + 2 z = -7 | (equation 1)

0 x+5 y - 4 z = 32 | (equation 2)

0 x+y + z = 1 | (equation 3)

Subtract 1/5 × (equation 2) from equation 3:

{-(3 x) - y + 2 z = -7 | (equation 1)

0 x+5 y - 4 z = 32 | (equation 2)

0 x+0 y+(9 z)/5 = (-27)/5 | (equation 3)

Multiply equation 3 by 5/9:

{-(3 x) - y + 2 z = -7 | (equation 1)

0 x+5 y - 4 z = 32 | (equation 2)

0 x+0 y+z = -3 | (equation 3)

Add 4 × (equation 3) to equation 2:

{-(3 x) - y + 2 z = -7 | (equation 1)

0 x+5 y+0 z = 20 | (equation 2)

0 x+0 y+z = -3 | (equation 3)

Divide equation 2 by 5:

{-(3 x) - y + 2 z = -7 | (equation 1)

0 x+y+0 z = 4 | (equation 2)

0 x+0 y+z = -3 | (equation 3)

Add equation 2 to equation 1:

{-(3 x) + 0 y+2 z = -3 | (equation 1)

0 x+y+0 z = 4 | (equation 2)

0 x+0 y+z = -3 | (equation 3)

Subtract 2 × (equation 3) from equation 1:

{-(3 x)+0 y+0 z = 3 | (equation 1)

0 x+y+0 z = 4 | (equation 2)

0 x+0 y+z = -3 | (equation 3)

Divide equation 1 by -3:

{x+0 y+0 z = -1 | (equation 1)

0 x+y+0 z = 4 | (equation 2)

0 x+0 y+z = -3 | (equation 3)

Collect results:

Answer:  {x = -1 , y = 4 , z = -3

6 0
3 years ago
Show all work:<br> -13 +(-56): 14 +9=<br> -16•3 - (-36) /12 =
STALIN [3.7K]
-13-56/14+9=
-69/23=-3


-48+36/12=
-12/12=-1
6 0
3 years ago
Read 2 more answers
Norman buys lunch for his employees at the El Camion Food Truck every Friday. Last week, he purchased 8 tacos and 5 burritos and
serg [7]

Answer:

1 taco costs $1.5 and 1 burrito costs $3.25

Step-by-step explanation:

-Let t denote tacos and b denote burritos.

-The system of equations in the two weeks can then be expressed as below:

8t+5b=28.25\ \ \ \ \ \ ...i\\\\7t+7b=33.25\ \ \ \ \ \ ...ii

make t the subject of the formula in i and then substitute in ii to solve for both unknowns:

8t=28.25-5b\\\\t=\frac{1}{8}(28.25-5b)\\\\\\\therefore 7t+7b=33.25\\\\\frac{7}{8}(28.25-5b)+7b=33.25\\\\\\24.71875-4.375b+7b=33.25\\\\8.53125=2.625b\\\\\\b=3.25\\\\t=\frac{1}{8}(28.25-5\times3.25)=1.5

Hence, 1 taco costs $1.5 and 1 burrito costs $3.25

5 0
2 years ago
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