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TiliK225 [7]
3 years ago
10

3 similar shirts and 4 similar jackets cost $360. 1 such shirt and 3 such jackets cost $220. Find the costof each shirt.

Mathematics
1 answer:
Lyrx [107]3 years ago
4 0
3s + 4j = 360
1s + 3j = 220

This one we can solve using substitution, in that
s + 3j = 220 implies s = 220 - 3j (subtract 3j from each side).

Now substitute into the first equation:

3(220 - 3j) + 4j = 360.  Solve for jackets.
660 - 9j + 4j = 360  [Distributive property]
660 - 5j = 360 [Add -9j + 4j]
Subtract 360 from each side, and add 5j to each side.
660 - 360 - 5j + 5j = 360 - 360 + 5j
300 = 5j
Divide each side by 5.
$60 = price of a jacket.

Three of these plus a shirt runs $220.
3(60) = 180
180 + s = 220
180 - 180 + s = 220 - 180 [Subtract 180 from each side]
s =   40

Now we double check.
3(40) + 4 (60) = 120 + 240 = 360.  This satisfies the first equation.
We could check the second one too, but I'm satisfied.
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Answer: The price of meal before the tip = $34.

Step-by-step explanation:

Given : The percentage of tip = 22% = 0.22 ( we divide a percentage by 100 to convert it into decimal)

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⇒ $41.48 = x (1.22)

⇒ x= ($41.48) ÷ 1.22

⇒ x= 34

Hence, the price of your meal before you applied the tip = $34.

7 0
3 years ago
What is the answer to 1/9 + 3/5
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3 0
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A random sample of 11 university students produced the following data, where x is the minutes spent studying per day, and y is t
SIZIF [17.4K]

Answer:

16.373,16.4

Step-by-step explanation:

Given that a  random sample of 11 university students produced the following data, where x is the minutes spent studying per day, and y is the first exam score (out of a maximum of 100 points).

x y

11 39

13 55

14 43

17 46

19 69

22 75

24 77

25 78

28 77

31 93

34 92 Observations 11        

       

ANOVA        

df SS MS F Significance F    

Regression 1 3214.095153 3214.095153 69.46052448 1.59367E-05    

Residual 9 416.4503017 46.27225574      

Total 10 3630.545455      

       

Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%

Intercept 16.37281677 6.48384963 2.525169105 0.0324919 1.705329914 31.04030362 1.705329914 31.04030362

x 2.369323595 0.28428592 8.33429808 1.59367E-05 1.726224167 3.012423023 1.726224167 3.012423023

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8 0
2 years ago
What is the length of one leg of the triangle?<br>11 units<br>11/units<br>22 units<br>22/2 units​
son4ous [18]

Answer:

The length of one leg of the triangle is 22 units

Step-by-step explanation:

The complete question in the attached figure

Let

x ----> the length of one leg of the triangle

we know that

In the right isosceles triangle of the figure

The cosine of angle of 45 degrees is equal to the adjacent side to angle of 45 degrees divided by the hypotenuse

cos(45\°)=\frac{x}{22\sqrt{2}} ---> equation A

cos(45\°)=\frac{\sqrt{2}}{2} ----> equation B

equate equation A and equation B and solve for x

\frac{x}{22\sqrt{2}}=\frac{\sqrt{2}}{2}

x=\frac{\sqrt{2}}{2}(22\sqrt{2})=22\ units

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Hope this helps! :) (could you give me brainliest I need help ranking up loll)

6 0
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