Which expression represents the product of unknown number and 19?

Answers

Answer 1

Answer: it would be 19x because it is the same as 19 times x.

Answer 2

Answer: 19x, x being the unknown number. or, 19 multipled by x, which would look like 19×(x)

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Given f(x)=(x+5)(x-2), what are the x-intercepts?

Answers

Answer:

The intercepts are -5 and 2

Step-by-step explanation:

Using the zero product property

f(x)=(x+5)(x-2)

0 =(x+5)(x-2)

0 = (x+5) 0=(x-2)

x = -5 x = 2

The intercepts are -5 and 2

Dave can paint the office by himself in 4 hours. Working with an associate, he can paint theoffice in 3 hours. How long would it take his associate to do it working alone?

Answers

Answer:

It would take 12 hours for his associate to do the complete work alone.

Step-by-step explanation:

Let 'x' be the hours taken by his associate working alone.

Given:

Time to paint the office by Dave is 4 hours.

Time to paint the office together is 3 hours.

Therefore, the part of work completed by Dave alone in 1 hour is $(1)/(4)$

Part of work completed by an associate in 1 hour is $(1)/(x)$

Now part of work completed by both in 1 hour is $(1)/(3)$

Therefore,

$(1)/(4)+(1)/(x)=(1)/(3)\n\n(1)/(x)=(1)/(3)-(1)/(4)\n\n(1)/(x)=(4-3)/(12)\n\n(1)/(x)=(1)/(12)\n\nx=12\ h$

Therefore, it would take 12 hours for his associate to do the complete work alone.

A scale drawing of a rectangular room has a length of 6 inches and a width of 4 inches. The drawing uses a scale of 1 inch to 3 feet. Find the cost to carpet the room if carpeting costs $5 per square foot.

Answers

Since, an inch is to 3 feet, the length would be 18 feet and the width would be 12. To get the area, multiply length and width. The product would be 216 square feet. If a square foot costs $5, 216 square foot multiplied to $5 would be $1080 which is the cost to carpet the room.

Final answer:

The rectangular room that measures 6 inches by 4 inches on a scale drawing (where 1 inch represents 3 feet) has a real area of 216 square feet. At $5 per square foot, the cost to carpet the room would be $1080.

Explanation:

The subject of the question is a real-life example of using scale measurements in rectangular shapes. In this case, a scale drawing of a rectangular room.

The scale provided is 1 inch to 3 feet, which means that every 1 inch in the drawing corresponds to an actual length of 3 feet. Therefore, a length of 6 inches on the drawing is equivalent to 6 * 3 = 18 feet actual length. Similarly, a width of 4 inches on the drawing is equivalent to 4 * 3 = 12 feet actual width.

Area of a rectangular shape is given by the product of its length and width, so 18 ft * 12 ft = 216 square feet which is the actual area of the room.

Lastly, given that carpeting costs $5 per square foot, the total cost will be the area of the room times the cost per square foot, which is 216 * 5 = $1080.

Learn more about Scale Measurements here:

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Determine the whether the sum of 7/8 and 4/9 is closest to 0,1,2,or 3

Answers

Whenever you add fractions it means you need a common denominator. The quickest way to find this number is to multiply the two denominators together (in this case 8 and 9).
So your new fractions are 63/72 and 32/72. When you add those you get 95/72.
Next simply divide the two numbers to get a decimal, so here we get: 1.31944...
So this number is closer to 1
Hope that helps!!

I need help with this Two-step equation

18-4x= -2

Can anyone help?

Answers

- - Star to simplify both sides of the equation.

$18-4x=-2$

- - Now you have top subtract 18 from both sides.

$-4x+18-18=-2-18$
- - Solve:
$-4x=-20$

- - And divide both sides by -4.

- - Solve:
$(-4x)/(-4) = (-20)/(-4)$

$x=5$

first u would take the 18 and - it on both sides
18 - 18 - 4x = -2 - 18
which would be
-4x = -20
then u would divide 4 on bothe sides
-4x/4 = -20/4
which would give u
- x = - 5
this is the answer for the negative x
for positive u would flip the answer
so
x = 5 which then = 4
x=5 is ur answer
hope this helps or u understand wat im sayin

Please help me find the answer and leave steps. Honest educational answers please.

Answers

You just cancel the +2y and the -2y because they are the same value and different signs then solve for X that gives you -3 and then add -15 along with -6 to give you -21 (cancel the negative sign) and you'll divide 21 and 3 to give you 7 and the substitute in the original equation for x (7) to get y. Idk if the answer choices are correct though....

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