Write an equation to represent the following relationship among integers: The sum of three consecutive even integers is 30 more than the smallest integer

Answers

Answer 1

Answer: Hello,

Let's 2k-2,2k,2k+2 the 3 even integers

2k-2+(2k)+(2k+2)=30+2k-2
==>4k=28
==>k=7
The 3 integers ared 2*7-2=12, 2*7=14,2*7+2=16
12+14+16=42=30+12

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The weight of the giraffe is .8 the weight of the hippo the hippo weights 2.5 tons how much does the giraffe weight?

Answers

Answer: 2 tons

Step-by-step explanation:

2.5 tons equals 5000lbs

Divide lbs by .8

U get 4000 pounds or 2 tons

Answer:

2 tons

Step-by-step explanation:

0.8 x 2.5=

Mario ordered a pizza for dinner when it arrived, mario quickly ate 1/8 of the pizza.while mario went to go get napkins, his pet poodle ate 1/3 of the pizza.a.about what percent of the pizza is left

Answers

Answer: 54.16% of pizza is left.

Step-by-step explanation:

Since we have given that

Part of pizza ate by Mario = $(1)/(8)$

Part of pizza ate by his pet = $(1)/(3)$

So, total part ate by them is given by

$(1)/(8)+(1)/(3)\n\n=(8+3)/(24)\n\n=(11)/(24)$

Part of pizza left is given by

$1-(11)/(24)\n\n=(24-11)/(24)\n\n=(13)/(24)$

Percentage of pizza left is given by

$(13)/(24)* 100\n\n=(1300)/(24)\n\n=54.16\%$

Hence, 54.16% of pizza is left.

1/8 of the pizza is about 12% and 1/3 is about 33%. So if 45% of the pizza was eaten by Mario and his dog, there is about 55% left.

(If 1/4 means 25% then 1/8 is half of that 12.5% exactly but I used 12% since we are estimating)

Which symbol gives you more information about two numerical expressions

Answers

you use parenthesis to tell the difference between to groups of numbers

Write the fraction
16/24
in simplest form

Answers

16/24 = 8/12 = 4/6 = 2/3

We can divide 16 and 24 by 2 so we can simplify to 8/12 and we can do it again and get 4/6 and again to get 2/3. We can no longer simplify so that is the simplified answer.

5,000=_×1,000 what is tge anwser need asap

Answers

The answer is 5 because you would multiply 5 by the 1,000 to get 5,000

the answer would be 5,000 because 5x1=5.So all you have to do is add the 000 to it and the answer would be 5,000

Only problem 6a. Can someone demonstrate how to do this so I can do the rest solo?

Answers

as far as I can tell, is simply asking to write two more expressions, that are equivalent to the provided one, namely, grab the provided one and expand it, if you simplify the expanded version, you'd end up with the provided, for example

$\bf \boxed{6a.1}~\hfill \stackrel{changing}{\cfrac{29\cdot 3}{30\cdot 3}}\implies \stackrel{one}{\cfrac{87}{90}}~\hfill \stackrel{changing}{\cfrac{29\cdot 7}{30\cdot 7}}\implies \stackrel{t wo}{\cfrac{203}{210}}\n\n\n\boxed{6a.3}~\hfill \stackrel{ch anging}{\cfrac{15/ 3}{30/ 3}}\implies \stackrel{one}{\cfrac{5}{10}}~\hfill \stackrel{changing}{\cfrac{15/ 5}{30/ 5}}\implies \stackrel{two}{\cfrac{3}{6}}$

so let's do 6a1, 6a3 and 6a5.

$\bf \boxed{6a.1}~\hfill \stackrel{changing}{\cfrac{29\cdot 3}{30\cdot 3}}\implies \stackrel{one}{\cfrac{87}{90}}~\hfill \stackrel{changing}{\cfrac{29\cdot 7}{30\cdot 7}}\implies \stackrel{t wo}{\cfrac{203}{210}} \n\n\n \boxed{6a.3}~\hfill \stackrel{changing}{\cfrac{15/ 3}{30/ 3}}\implies \stackrel{one}{\cfrac{5}{10}}~\hfill \stackrel{changing}{\cfrac{15/ 5}{30/ 5}}\implies \stackrel{two}{\cfrac{3}{6}}$

$\bf \boxed{6a.5}~\hfill \stackrel{changing}{(9\cdot 10)/ (2\cdot 10)}\implies \stackrel{one}{90/ 20}~\hfill \stackrel{changing}{(9\cdot 70)/(2\cdot 70)}\implies \stackrel{two}{630/ 140}$

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