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2 years ago

Does 5 x 1,000 + 7 x 1+ 9 X 10 + 9 x 100 + 2 x 1,000 = 5,007.992

Mathematics

1 answer:

aleksandrvk [35]2 years ago

6 0

Answer:

Step-by-step explanation:

7997

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There are 5 green jelly beans, 7 red jelly beans and 8 yellow jelly beans. What percent of the jelly beans are red?

s2008m [1.1K]

Answer: 35%

Step-by-step explanation:

8 + 5 + 7 = 20

50% = 10

25% = 5

10% = 2

5% = 1

25% + 10% = 5+2

35% = 7

5 0

3 years ago

The hypotenuse of a right triangle is 1 centimeter longer than one side and 4 centimeters longer than three times the other side

snow_tiger [21]

Answer:

$Hypotenuse = 25cm$

$Opposite = 24cm$

$Adjacent = 7cm$

Step-by-step explanation:

Represent:

The opposite with a
The adjacent with b
The hypotenuse with c

Given that:

$c = 1 + a$

$c = 4 + 3b$

Required

Solve for a, b and c

$c = c$

So, we have:

$1 + a = 4 + 3b$

Subtract 1 from both sides

$a = 4 -1 + 3b$

$a = 3 + 3b$

Apply Pythagoras Theorem

$c^2 = a^2 + b^2$

Substitute 3 + 3b for a and 4 + 3b for c

$(4 + 3b)^2 = (3 + 3b)^2 + b^2$

Open brackets

$16 + 12b+12b+9b^2 = 9 + 9b+9b+9b^2 +b^2$

$16 + 24b+9b^2 = 9 + 18b+10b^2$

Collect Like Terms

$10b^2 - 9b^2 + 18b - 24b + 9 - 16 = 0$

$b^2 - 6b -7 = 0$

Expand

$b^2 +b-7b-7=0$

Factorize:

$b(b+1)-7(b+1) =0$

$(b-7)(b+1) = 0$

Split:

$b - 7 = 0\ or\ b+1=0$

$b = 7\ or\ b=-1$

But the adjacent of a triangle can't have a negative measurement.

So:

$b = 7$

Recall that:

$c = 4 + 3b$

$a = 3 + 3b$

Substitute 7 for b in the above expressions

$c = 4 + 3 * 7$

$c = 4 + 21$

$c = 25$

$a = 3 + 3 * 7$

$a = 3 + 21$

$a = 24$

Hence, the dimensions of the triangle are:

$Hypotenuse = 25cm$

$Opposite = 24cm$

$Adjacent = 7cm$

5 0

3 years ago

PLZ HELP NEED ASAP, much appreciated

Margaret [11]

Answer:

Ok that's not it

x=-1 then y=4

x=0 then y= 6

x=1 then y = 8

x=2 then y= 10

x=3 then y= 12

Step-by-step explanation:

when y=2x+6

you have to plug what it says x is in each of the equations.

For the first one it says x=-1

you then plug that in and you get y=2(-1)+6

then you go through PEMDAS and first you get y=-2+6

-2+6 = 4

therefore y=4

and you just go through the rest wiht that

Step-by-step explanation:

6 0

2 years ago

How do I answer this question letter a

FinnZ [79.3K]

The answer to letter A is (x-y)² because if x=5 and y= -3 the problem would be (5-(-3))² and when you have -- that means you add. ik weird right. So basically that would be 8² which equals 64. Rather then the other one which was (x+y)² because again that would be (5+(-3))² but different because of the addition sign. so, that's asking what 5-3 is which is 2² which equals 4. Making (x-y)² bigger. I hope this helped

8 0

3 years ago

A senior class at Smith High School has 84 students.

sattari [20]

Answer: 44 boys and 40 girls

Step-by-step explanation:

x = number of girls

x + 4 = number of boys

x + x + 4 = 84

2x + 4 = 84

2x = 80

x = 40

84 - 40 = 44

3 0

3 years ago