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Elis [28]
3 years ago
7

The sum of x and 10 is less than -6​

Mathematics
1 answer:
goldenfox [79]3 years ago
6 0
Try breaking these into sections.

Twice: 2 times

The sum of: add

A number: choose a variable, like x

---Thus "the sum of a number and 4" becomes "add x and 4" which, mathematically, is "x+4"

-----Continuing to put it all together, "Twice the sum of a number and four" becomes "2 times (x+4)" which, mathematically, is "2(x+4)"

Is: equals

-------"Twice the sum of a number and four is" becomes "2(x+4)="

23 less than: subtract 23. This one tends to trick people; "23 less than" will become "__ - 23", NOT "23 - __"

three times the number: 3 times x

---"23 less than three times the number" becomes "subtract 23 from 3 times x" which, mathematically, is "3x-23"

-------So the final phrase: 2(x+4)=3x-23"
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Gerry plans to place a 29 foot ladder against the side of his house to clean his gutters. The bottom of the ladder will be 3 fee
tensa zangetsu [6.8K]

Answer:

8\sqrt{13}

Step-by-step explanation:

Using the pythagorean theorem (Assuming the house's walls are perpindicular to the ground):

a^2+b^2=c^2

we can find that 3=a and 29=c

3^2+b^2=29^2

9+b^2=841

b^2=832

b=\sqrt{832}

b=\sqrt{64*13}

b=8\sqrt{13}

That is the height that the ladder will reach

5 0
2 years ago
Loris dog eats 3.82 pounds of food in one week. how much food will the dog eat in 18 weeks?
shtirl [24]

Answer: the dog eats 68.76 lbs of food in 18 weeks

Step-by-step explanation: 3.82x 18=68.76

6 0
3 years ago
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PLEASE HELP The volume of a cube is defined by the function, V(x), where the volume is measured in cubic meters. Find a polynomi
olya-2409 [2.1K]

we have

V(x)=x^3-12x^2+48x-64

we know that

The volume of a cube is equal to

V=b^{3}

where

b is the length side of a cube

Using a graph tool------> find the roots of the polynomial

see the attached figure

x=4

so

x^3-12x^2+48x-64=(x-4)^{3}

therefore

<u>The answer is</u>

the length side of a cube is equal to (x-4)

5 0
3 years ago
5m-8=2m+2 <br><br> what does m equal
vesna_86 [32]

Answer:

m = 10/3

<em>(as a decimal: m = 3.333...)</em>

<em />

Step-by-step explanation:

5m - 8 = 2m + 2

 5m - 8 = 2m + 2

- 2m       - 2m              <em>(make all "m" on one side to isolate variable)</em>

 3m - 8 = 2    

      + 8 + 8              <em>(get m entirely on 1 side)</em>

3m = 10

÷3      ÷3                         <em>(divide by 3 to get 1m)</em>

m = 10/3

<em>(as a decimal: m = 3.333...)</em>

<em />

<em />

hope this helps!! have a lovely day :)

5 0
1 year ago
5002190 in expanded firm
bezimeni [28]
5000000 000000 0000 2000 100 90 0 i hope this helps
6 0
3 years ago
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