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Damm [24]
3 years ago
14

The width of a rectangle is 1 units less than the length. The area of the rectangle is 72 units. What is the width, in units, of

the rectangle?
Mathematics
1 answer:
nalin [4]3 years ago
8 0

A = l × w. Substitute 72 into A and fill in the rest of the equation.

w = l - 1. Plug l - 1 into w

72 = l × (l - 1). Multiply l by (l - 1)

72 = l^2 - l. Subtract 72 from each side.

0 = l^2 - l - 72. Factor.

0 = (l + 8) (l - 9). Set each term equal to zero.

(l + 8) = 0. Subtract 8 from each side.

l = -8. Length cant be a negative number so let's try the other term.

(l - 9) = 0. Add 9 to each side.

l = 9. The length is 9.

Earlier we stated that the width is one less than the length, therefore, the width is 9 - 1 = 8.

The width is 8 units.

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I need help on this problem please help me.
a_sh-v [17]

Answer:

150 mL

Step-by-step explanation:

Let x represent the quantity of 75% solution needed. The total amount of alcohol in the 60% mixture will be ...

75%·x + 10%·45 = 60%·(x+45) . . . . . there will be x+45 mL of solution in the end

0.15x = 22.5 . . . . . . . . . . . . . . . . . . . . simplify, subtract .60x+4.5

22.5/0.15 = x = 150 . . . . . . . . . . . . . . mL of 75% solution needed

You will need 150 mL of the 75% solution.

3 0
3 years ago
COPY THE TABLE BELOW IN YOUR NOTEBOOK. THEN ROUND EACH ITEM TO THE NEAREST HUNDREDTHS AND THOUSANDS​
kobusy [5.1K]
What’s the items number. ? When rounding everything in front of the decimal find the place value it wants you to round then if it’s 5 or below round the the lowest whole number. If it’s behind a decimal you would do the same thing. It’s the number is higher than 5 round it up.
8 0
3 years ago
1044 fans join a club in the first month after the first month nine new members are allowed to join each month how many members
laiz [17]

Answer:

Total number of members in month 34 is 1341 members.

Step-by-step explanation:

We have given,

Number of fans join a club in first month = 1044

And after the first month nine new members are allowed to join each month.

After first month , Let the number of club members in x months will be given as:

Number of members = 1044 + 9x

We need to find number of members in month 34.

So for first month we already had 1044 members, that mean for remaining 33 months we need to calculate members.

i.e total number of members in month 34 = 1044 + (33×9 )     , {Since x = 33 here}  

OR total number of members in month 34 = 1044 + 297  = 1341 members

3 0
3 years ago
You and two friends plan to walk your dogs together. You want the meeting place to be the same distance from each person’s resid
AveGali [126]
If we join the points we are gonna end up with a triangle, from there by finding the centroid of the triangle we will get a point which is equidistant from all the three points given in the diagram.

Formula for Centroid:
6 0
2 years ago
Please explain I need help with all these
sergey [27]
For all of these you're trying to solve for the variable. The variable is usually a number or symbol.

11) -44+n=36
Step one would be to add 44 to both sides of the equation.

N=80

12) -36=p-91
Step one would be to add -91 to both sides of the equation.

P=55

13) X-225=671
Step one you be to add 225 to both sides of the equation. Although it may seem difficult because of the big numbers, it's the same technique.

14) 19=c-(-12)
Step one on this equation will be a little different. Because there are two negative signs (-), they turn into a plus sign. Remember, two negative signs make a positive sign.

19=c+12

Now you just subtract 12 from each side of the equation.

6=C
3 0
3 years ago
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