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Nadusha1986 [10]
3 years ago
5

Michael can buy 4 sandwiches and 3 cups of coffee for $23.75. Amy can buy 2 sandwhiches and 5 cups of coffee for $19.75 how much

does one saandwhich cost
Mathematics
1 answer:
Kobotan [32]3 years ago
8 0

Answer: The cost of one sandwich is $4.25 and the cost of one cup of coffee is $2.25.

Step-by-step explanation:

Let x be the cost of one sandwich and y be the cost of one cup of coffee.

By considering the given situation, we have the following equations :-

4x+3y=23.75.................(1)\\\\2x+5y=19.75................(2)

Multiply 2 on both sides of equation (2) , we get

4x+10y=39.5................(3)

Subtract equation (1) from equation (3), we get

7y=15.75\\\\\Rightarrow\ y=\dfrac{15.75}{7}=2.25

Put value of y in (1), we get

4x+3(2.25)=23.75\\\\\Rightarrow\ 4x+6.75=23.75\\\\\Rightarrow\ 4x =17\\\\\Rightarrow\ x=4.25

Hence, the cost of one sandwich is $4.25 and the cost of one cup of coffee is $2.25.

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Lana71 [14]
First we need to convert the given equation to standard form, only then we can find the center and radius of the circle.

x^{2} + y^{2} +18x+14y+105=0 \\  \\ 
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x^{2} +2(x)(9)+ 9^{2} + [y^{2}+2(y)(7)+7^{2}]  =-105+9^{2}+7^{2}  \\  \\ 
 (x+9)^{2}+ (y+7)^{2}=25  


The standard equation of circle is:

(x-a)^{2} + (y-b)^{2}= r^{2}

with center (a,b) and radius = r

Comparing our equation to above equation, we can write

Center of circle is (-9, -7) and radius of the given circle is 5 
8 0
3 years ago
Need help question #3. Show steps please
Oksana_A [137]

Answer:

B.

Step-by-step explanation:

We are given:

\displaystyle \int \sqrt{x}\Big(9x^3-2\sqrt{x}+\frac{8}{x}\Big)\, dx

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Note that A is not valid. No integration property allows us to separate factors unless that factor is a constant.

We can simply rewrite and then distribute. First, by rewriting:

\displaystyle =\int x^{1/2}\Big(9x^3-2x^{1/2}+8x^{-1}\Big)\, dx

Distribute. Recall exponent properties;

\displaystyle =\int(9x^{3+1/2}-2x^{1/2+1/2}+8x^{-1+1/2})\, dx

Simplify:

\displaystyle=\int9x^{7/2}-2x+8x^{1/2}\, dx

This can then be separated (since its addition/subtraction) and integrated individually.

Hence, our answer is B.

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2 years ago
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Radda [10]
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3 years ago
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Select all the statements you agree with.
wolverine [178]

The statements that I agree with, with respect to a parallelogram are:

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<h3>What is a parallelogram?</h3>

A parallelogram can be described as the quadrilateral  that do contains  two pairs with respect to their parallel sides.

It should be noted that the sides that can be found in the parallelogram are usually of the same length and there the sides that can be attributed to a parallelogram is usually 6.

Therefore, the option 1,2,4,5 are correct.

Learn more about parallelogram at:

brainly.com/question/970600

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6 0
1 year ago
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brilliants [131]

Answer:

Last equation given in the list of possible answers:

5 ( 1.5 + 1.5 + x ) = 25

Step-by-step explanation:

We need to include in the total addition of miles ridden during the week:

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so for the miles ridden per day we have: "1.5 +1.5 + x"

Now, since per week she does 5 days like this, then we need to multiply the expression above by 5 in order to total the number of miles she rides weekly (25 miles)

5 ( 1.5 + 1.5 + x ) = 25

And we can use this equation to find the amount "x" that Rin rides in the evening.

7 0
3 years ago
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