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3 years ago

Can you guys answer this question ASAP, thanks will give brainliest

Mathematics

2 answers:

Mumz [18]3 years ago

6 0

Answer:

An apple costs $2.25. A mango costs $1.25.

Step-by-step explanation:

Let a = price of 1 apple.

Let m = price of 1 mango.

Cameron:

4 apples + 7 mangoes ----> total $17.75

4a + 7m = 17.75

Gavin:

2 apples + 5 mangoes ----> total $10.75

2a + 5m = 10.75

We have a system of 2 equations in 2 unknowns.

4a + 7m = 17.75

2a + 5m = 10.75

We can use the elimination method to eliminate the variable a. Rewrite the first equation. Multiply both sides of the second equation by -2 and write below it. Then add the equations.

4a + 7m = 17.75

(+) -4a - 10m = -21.5

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

-3m = -3.75

Divide both sides by -3.

m = 1.25

A mango costs $1.25.

Now we use the first equation and substitute 1.25 for m and solve for a.

4a + 7m = 17.75

4a + 7(1.25) = 17.75

4a + 8.75 = 17.75

4a = 9

a = 2.25

An apple costs $2.25.

Answer: An apple costs $2.25. A mango costs $1.25.

galina1969 [7]3 years ago

4 0

Answer:

2.25 ; 1.25

Step-by-step explanation:

4A + 7M = 17.75

2A + 5M = 10.75

2A = 10.75 - 5M

4A = 21.5 - 10M

21.5 - 10M + 7M = 17.75

3.75 = 3M

M = 1.25

4A = 21.5 - 10(1.25)

4A = 9

A = 2.25

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Stephanie has the same number of dimes and nickels. She has $6.10 in all. Write an equation that you could use to find the numbe

Igoryamba

Answer:

The equation is

15x = 610

Step-by-step explanation:

A dime is 10 cents while a nickel is 5 cents

$6.10 is same as 610 cents

Let the number of dimes and number of nickels be x

10x + 5x = 610

15x = 610

5 0

3 years ago

Find the value of x.

podryga [215]

Answer:

x=17

Step-by-step explanation:

the two segements equal each other, so make teh equations equal eachother and solve for x ,2x-10=x+7

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4 years ago

Pam has 90 m of fencing to enclose an area in a petting zoo with two dividers to separate three types of young animals. The thre

andrew-mc [135]

Answer:

The area function is

$A=\frac{135}{2}x-\frac{9}{2}x^2$ .

The domain and range of A is $(0,15m)$ and $(0, 253.125 m^2]$ .

Step-by-step explanation:

The given length of fencing is $90 m$ .

Let the length and width of each pen be $x$ and $y$ respectively as shown in the figure.

As there are 3 pens, so, the total area,

$A= 3 xy \;\cdots (i)$

From the figure the total length of fencing is $6x+4y$ .

Here, for a significant area for the animals, $x>0$ as well as $y>0$ as $x$ and $y$ are the sides of ben.

From the given value:

$6x+4y=90\;\cdots (ii)$

$\Rightarrow y=\frac {45}{2}-\frac{3x}{2}$

Now, from equation (i)

$A=3x\left(\frac {45}{2}-\frac{3x}{2}\right)$

$\Rightarrow A=\frac{135}{2}x-\frac{9}{2}x^2\;\cdots (iii)$

This is the required area function in the terms of variable $x$ .

For the domain of area function, from equation (ii)

$x=15-\frac{2y}{3}$

$\Rightarrow x$ [as y>0]

So, the domain of area function is $(0,15m)$ .

For the range of area function:

As $x \rightarrow 0$ or $y\rightarrow 0$ , then $A\rightarrow 0$ [from equation (i)]

$\Rightarrow A>0$

Now, differentiate the area function with respect to $x$ .

$\frac {dA}{dx}=\frac{135}{2}-9x$

Equate $\frac {dA}{dx}$ to zero to get the extremum point.

$\frac {dA}{dx}=0$

$\Rightarrow \frac{135}{2}-9x=0$

$\Rightarrow x=\frac{15}{2}$

Check this point by double differentiation

$\frac {d^2A}{dx^2}=-9$

As, $\frac {d^2A}{dx^2}$ , so, point $x=\frac{15}{2}$ is corresponding to maxima.

Put this value back to equation (iii) to get the maximum value of area function. We have

$A=\frac{135}{2}\times \frac {15}{2}-\frac{9}{2}\times \left(\frac {15}{2}\right)^2$

$\Rightarrow A=253.125 m^2$

Hence, the range of area function is $(0, 253.125 m^2]$ .

4 0

4 years ago

I need help on this question ASAP pls

kirill [66]

Answer:

64/8

Step-by-step explanation: If a = 32 and b = 8, then the fraction turns into 2(32)/8.

2*32 is 64.

So, it turns into 64/8

You could also simplify it to 8/1, which is 8.

7 0

3 years ago

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ANEK [815]

The distance from the park to the library 2/4<3/4

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