Fill in the other coordinate for the line 7x - 5y = 21: (4, )

Answers

Answer 1

Answer: 7x - 5y = 21....(4,?)...so sub in 4 for x and solve for y
7(4) - 5y = 21
28 - 5y = 21
-5y = 21 - 28
-5y = - 7
y = 7/5

check..
7(4) - 5(7/5) = 21
28 - 35/5 = 21
28 - 7 = 21
21 = 21 (correct)

the other coordinate is 7/5......(4,7/5)

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How to rewrite 3/4 and 7/9 so it has common denominators and then use < or > or = to order 3/4 and 7/9

Answers

Both 4 and 9 can be equal to 36, so I use 3/4 and put 27/36 and for 7/9 I put 28/36. For the second part of the question, 27/36 < 28/36

A can of spaghetti has a diameter of 12 cm and a height of 16 cm. The can contains spherical meatballs, each with a radius of 3 cm, that take up 25% of the volume.How many meatballs are in the can?

Use 3.14 to approximate pi and express your answer as a whole number.

Answers

Hey there, the radius of the can is 1/2 of 12 cm=6 cm, the volume of the can is pi r^2h=Pi 6^{2}16=1809.5573cm3, Now, the volume of the meatball is 4/3 pi r^{3}=4/3 pi 3^{3}=113.09734, Then, 25% of the can=1809.5573/4=452.389325, The meatballs in area=25% of can over volume of meatballs=452.389325/113.09734=4 meatballs, Therefore, the answer is 4 meatballs.

In march, a customer spent $8.55 at an office-supply store for some 12-packs of pens. At that time, the store was selling packages of one dozen pens for $1.35. Any customer who bought more than 4 packages, received a discount of $0.30 on the price of each package in excess of 4 packages. In september, the same customer went back to the store to buy the same number of pens. By then, the price per 12-pack of pens had been raised to $1.50 each, with the same discount for more than 4 packages. How much more did the customer have to pay in September than in March?

Answers

We can start by making an equation from the information given on the month of March to find how many packs he bought.
$4(1.35)+x(1.05)=8.55$ This equation shows that for the first 4 packs he bought, he payed $1.35. Then, consequently, for each pack after that, he payed $0.30 less, and we don't know how many more he bought, so we set it up as shown. Finally, we set it all equal to $8.55 since that's how much he payed that month. We get that x=3, meaning that he bought a total of 7 packs of pens that month.
Knowing this, we can now make an equation for the month of September.
$4(1.50)+3(1.20)=x$ This time, we know the entire left side, that he paid $1.50 for the first 4 packs and $0.30 less for the last 3. We get x=$9.60
Knowing this, we can subtract the amount he paid in September by the amount he paid in March to get the answer... $9.60-$8.55=$1.05

I hope this helped!

What is the domain of the square root function graphed below?

Answers

we know that

the domain of the square root function graphed is equal to

the interval------> [3,∞)

the domain is all real numbers for $x\geq 3$

and

the range of the square root function graphed is equal to

the interval------> [1,∞)

the range is all real numbers for $f(x)\geq 1$

therefore

the answer is the option

$x\geq 3$

Domain of a function which allows all values to be in it if for those values the function has defined output. The domain of the plotted function is $x \geq 3$

What is domain and range of a function?

Domain is the set of values for which the given function is defined.
Range is the set of all values which the given function can output.

Since in the given plot, the function starts from 3, and is defined for all values after 3, so it is has domain including 3, and all values after 3.

Thus, domain of given function is

$x = 3\nand\nx > 3$

This can be written in short form as $x \geq 3$

(remember that usually, input values are on x axis(horizontal axis), and output values of the function are on y axis (vertical axis)

Thus,

The domain of the plotted function is

Option D : $x \geq 3$

Learn more about domain of a function here:

brainly.com/question/26077568

Please someone help me i do not know the answer

Answers

Answer:

For #9, the part of the expression that represents the quotient is the division problem in parenthesis. Specifically, "(45 ÷ 9)". I believe you only need the division symbol for this, though. Correct me if I'm wrong.

As for #10, the part of the expression representing the product of two factors is 5.2 being multiplied by the variable $u$ . This results in the the term $5.2u$ , with the coefficient being 5.2 and the variable being $u$ .

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