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3 years ago

Please Help!!

Mathematics

1 answer:

Bas_tet [7]3 years ago

3 0

Shaded=big rectangle-white rectangle

area recangle=base times height=(x+10) times (2x+5)=2x²+25x+50

area white=(x+1) times (x+1)=x²+2x+1

big-white=(2x²+25x+50)-(x²+2x+1)=
2x²+25x+50-x²-2x-1=
x²+23x+49

de area is x²+23x+49

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Please help me on this it’s due

olya-2409 [2.1K]

<h3>Answer: 5 cakes</h3>

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Explanation:

Let's start off converting the mixed number 12 & 1/4 to an improper fraction.

$a \frac{b}{c} = \frac{a*c+b}{c}\\\\12 \frac{1}{4} = \frac{12*4+1}{4}\\\\12 \frac{1}{4} = \frac{49}{4}\\\\$

Do the same for the other mixed number 2 & 1/3.

$a \frac{b}{c} = \frac{a*c+b}{c}\\\\2 \frac{1}{3} = \frac{2*3+1}{3}\\\\2 \frac{1}{3} = \frac{7}{3}\\\\$

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From here, we divide the two fractions. I converted them to improper fractions to make the division process easier.

$\frac{49}{4} \div \frac{7}{3} = \frac{49}{4} \times \frac{3}{7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{49\times 3}{4\times 7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{7\times 7\times 3}{4\times 7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{7\times 3}{4}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{21}{4}\\\\$

The last step is to convert that result to a mixed number.

$\frac{21}{4} = \frac{4*5+1}{4}\\\\\frac{21}{4} = \frac{4*5}{4}+\frac{1}{4}\\\\\frac{21}{4} = 4+\frac{1}{4}\\\\\frac{21}{4} = 5 \frac{1}{4}\\\\$

Note that 21/4 = 5.25 and 1/4 = 0.25 to help check the answer.

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Therefore, she can make 5 cakes. The fractional portion 1/4 is ignored since we're only considering whole cakes rather than partial ones.

3 0

2 years ago

The USA won 15 Wimbledon championships. Sweden and Switzerland both won 7. Australia won 6, German won 4, and Spain won 2. Write

mihalych1998 [28]

Well you add the total of championships. 15+7+7+6+4+2=41
The ratio is 6:41
This means that Australia won 6 of the 41 championships.

5 0

3 years ago

a boy is older than his sister by 3 years five years ago, the ratio of their ages was 4 : 3 find his present.

pashok25 [27]

B:S = 4x:3x
4x - 3x = 3
x = 3
They were 12 & 9.
Add 5 to that.
So he’s now 17 and she’s 14

8 0

3 years ago

Read 2 more answers

Laree is buying a car that costs 4,155. she has 1,575 and will borrow the rest from her parents. will payments of 225 per month

Natasha_Volkova [10]

The car cost $4,155 and she has $1,575 so $4,155-$1,575=$2,580as the balanced owed if she borrows the rest from her parents and has a one year to pay it off it will be paid off because her payments are $225 a month for one year at 225x12=$2,700 its a little over but it will be paid off

5 0

2 years ago

A + c = 405 <br> 12a + 5c = $3,590

SOVA2 [1]

Answer:

a=223.57

c=181.43

Step-by-step explanation:

a=405-c

substitute for a in the equation :

12a+5c=3590

12(405-c)+5c=3590

4860-12c+5c=3590

-7c=3590-4860

-7c=-1270

c=1270/7=181.43

a=405-1270/7

a=1565/7=223.57

3 0

2 years ago