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Natasha2012 [34]
2 years ago
6

Please help! A is not -3 as I’ve seen some answer with that.

Mathematics
1 answer:
Arte-miy333 [17]2 years ago
6 0

Answer:

a) x = 5

b) x = 4

Step-by-step explanation:

a) \frac{3x+4}{2} = 9.5

  3x+4 = 9.5(2)

      3x = 19-4

        x = 15/3

         x = 5

b) \frac{7+2x}{3} = 5

  7+2x = 5(3)

      2x = 15-7

        x = 8/2

         x=4

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Need some help on this math problem.
Fynjy0 [20]

Answer:

D

Step-by-step explanation:

im just guessing sorry if its wronh

3 0
3 years ago
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If the sum of the even integers between 1 and k, inclusive, is equal to 2k, what is the value of k?
lorasvet [3.4K]
You can make a start by putting together an expression for the sum of the even integers between 1 and k inclusive.

Let S be the sum of the even integers between 1 and k inclusive.

Then:
<span><span>S=2+4+6+⋯+(k−2)+k</span></span>

As k is even, you can say r = 2k and so:

<span><span>S=2(1+2+3+⋯+(r−1)+r)</span></span>

<span>Now the sum of the first </span><span>r</span><span> numbers is well-known, it's the </span><span>r</span>th triangle number and we have:

<span><span>1+2+3+⋯+(r−1)+r=<span><span>r(r+1)/</span>2</span></span></span>
<span>Now we can keep it simple and say </span><span><span>2k=4r </span></span><span>and so:</span>

<span><span>S=2(1+2+3+⋯+(r−1)+r)=4r=2<span><span>r(r+1)</span>2</span>=r(r+1)</span></span>

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3 0
3 years ago
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Haley has three times as many stuffed animals as she does dolls. Her brother has 18 more video games than Haley has stuffed anim
irina1246 [14]

Answer:

63

Step-by-step explanation:

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5 0
3 years ago
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vlada-n [284]

Step-by-step explanation:

products of

2 \frac{2}{3}  \times  3\frac{3}{4} \\ =   \frac{2 \times 3 + 2}{3}   \times  \frac{3 \times 4 + 3}{4}  \\  =  \frac{8}{3}   \times  \frac{15}{4}  \\  = 10

Hope it will help :)

8 0
3 years ago
A jet flew for 2 hrs before strong head winds reduced its speed by 40mph. If it took the plane 5 hrs to travel 1,380 miles, find
GarryVolchara [31]

As per the problem

A jet flew for 2 hrs before strong head winds reduced its speed by 40 mph.

It took the plane 5 hrs to travel 1,380 miles

Total time=5 hrs, Time of fly before headwinds=2,

Time of fly in headwinds=5-2=3  hrs

Let the speed before head winds =v\\

Then speed in headwinds=(v-40)\\

As we know that

\text{Distance =Speed*Time}\\ \\

Hence using this formula and the given data we can write

1380=2v+3(v-40)\\ \\ \text{Simplify we get}\\ \\ 3v-120+2v=1380\\ \\ 5v=1380+120\\ \\ 5v=1500\\ \\ v=300mph\\

Hence speed before flying into the headwinds=300mph

3 0
3 years ago
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