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denis-greek [22]
3 years ago
8

suppose you got 8 mangoes and 3 apples for $18 and 3 mangoes and 5 apples for $14.50. how mush does each mango and each apple co

st.
Mathematics
2 answers:
Colt1911 [192]3 years ago
8 0
Let m= cost of mangoes 
a= cost of apples 
8m+3a=18 total (first equation)

3m+5a=14.50 (Second Equation)

Solve using system of equations

8m+3a=18.00
3m+5a=14.50
Multiply 1st equation by 5 and second equation by -3:
5(8m+3a)=5(18.00)
-3(3m+5a)=-3(14.50)
Your problem should look like:
40m+15a=90
-9m+-15a=-43.5
Then you cancel out the 15a and (-15a). So when you combine like terms you get: 31m=46.5 
Divide each side by 31. 
31m\31=46.5\31
m= 1.5
Then you plug in 1.5 into any of the original equation to find the cost of your apples.
3(1.5)+5a=14.5
4.5 + 5a = 14.5 
5a=14.5-4.5
5a=10
a=2
Each Mango cost $1.50 and each apple costs $2.00
Zanzabum3 years ago
6 0
Suppose a mango cost x dollar and a apple cost y dollar

there will be an binary system of equation

8*x+3*y=18
3*x+5*y=14.5

so soultions have to x=48/31     y=16/31

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Identify the x-intercepts of the function below f(x)=x^2+12x+24
damaskus [11]

<u>ANSWER:  </u>

x-intercepts of  \mathrm{x}^{2}+12 \mathrm{x}+24=0 \text { are }(-6+2 \sqrt{3}),(-6-2 \sqrt{3})

<u>SOLUTION:</u>

Given, f(x)=x^{2}+12 x+24 -- eqn 1

x-intercepts of the function are the points where function touches the x-axis, which means they are zeroes of the function.

Now, let us find the zeroes using quadratic formula for f(x) = 0.

X=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Here, for (1) a = 1, b= 12 and c = 24

X=\frac{-(12) \pm \sqrt{(12)^{2}-4 \times 1 \times 24}}{2 \times 1}

\begin{array}{l}{X=\frac{-12 \pm \sqrt{144-96}}{2}} \\\\ {X=\frac{-12 \pm \sqrt{48}}{2}} \\\\ {X=\frac{-12 \pm \sqrt{16 \times 3}}{2}} \\\\ {X=\frac{-12 \pm 4 \sqrt{3}}{2}} \\ {X=\frac{2(-6+2 \sqrt{3})}{2}, \frac{2(-6-2 \sqrt{3})}{2}} \\\\ {X=(-6+2 \sqrt{3}),(-6-2 \sqrt{3})}\end{array}

Hence the x-intercepts of  \mathrm{x}^{2}+12 \mathrm{x}+24=0 \text { are }(-6+2 \sqrt{3}),(-6-2 \sqrt{3})

8 0
2 years ago
There are two sets of traffic lights outside Eric's house. One day, he times how often they change. Set A turns green every 60 s
Otrada [13]

Answer:

12:07pm

Step-by-step explanation:

first common multiple of 60 and 70 is 420

420 s = 7 mins

3 0
3 years ago
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gulaghasi [49]

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After 5 minutes of hitting my head on a wall I found your answer... 3256

Step-by-step explanation:

4 0
2 years ago
Find the sum: 564 + 3,598 = ?
Mariulka [41]

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

                  Hello!

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

❖ 564 + 3,598 = 4162

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

4 0
3 years ago
Pls answer the image below ​
swat32
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