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2 years ago

What kind of solution is -2x+10+7x= 5(x+2) ?

Mathematics

1 answer:

Oduvanchick [21]2 years ago

6 0

Infinite amount of solutions

See attached image

Comment for more help or if the image is too hard to see

Hope this helps :)

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You cut off half of a strip of paper. then you cut half of the piece was left. then you cut half of the remaining piece.

lianna [129]

Answer:

The fraction of the original strip left is $\frac{1}{8}$ .

Step-by-step explanation:

We have that,

A strip of paper is cut in $\frac{1}{2}$ . So, the strip of paper left is $\frac{1}{2}$ .

Now, again the remaining part is cut in half. The part left will be $\frac{1/2}{2}$ i.e. $\frac{1}{4}$ .

Finally, the remaining part is again cut in half.

We get, the final part of the paper remaining is $\frac{1/4}{2}$ i.e. $\frac{1}{8}$ .

So, the fraction of the original strip left is $\frac{1}{8}$ .

6 0

2 years ago

An 8-sided die is formed when two square pyramids are attached by their bases. The perimeter of the base shape is 6 centimeters.

Vlada [557]

This is the concept of areas of solid figures. The surface are of the solid figure formed when 2 square pyramids are attached will be given by:
SA=[number of triangular faces]*[Area of each triangle]
Number of triangular faces=8
Area of each triangle=1/2*bh
base=6/4=1.5 cm
height=2 cm
thus;
Area=1/2*2*1.5=1.5
The surface area will therefore be:
SA=1.5*8=12cm^2

3 0

2 years ago

Least common multiple of 30 25 4

White raven [17]

Answer:

The least common multiple of 30, 25, 4 is 150.

Step-by-step explanation:

The given numbers are 30, 25 and 4.

The factors of given numbers are

$30=2\times 3\times 5$

$30=5\times 5$

$4=2\times 2$

The L.C.M of given numbers is a smallest number that divides the given numbers completely.

$L.C.M.=\frac{2\times 3\times 5\times 5\times 5\times 2\times 2}{5\times 2}$

$L.C.M.=2\times 3\times 5\times 5\times 2=150$

Therefore the least common multiple of 30, 25, 4 is 150.

5 0

3 years ago

Math help 20 points<br> help

astra-53 [7]

Answer:

1. x =8

2. x=9

Step-by-step explanation:

Since these figures are parallelograms, the opposite sides are equal.

1. 6 = 2x-10

Add 10 to each side

6+10 = 2x-10+10

16 = 2x

Divide each side by 2

16/2 = 2x/2

8 =x

2. x+14 =23

Subtract 14 from each side

x+14-14 = 23-14

x = 9

6 0

3 years ago

Canine hip dysplasia is a degenerative disease that causes pain in many dogs. Sometimes advanced warning signs appear in puppies

nordsb [41]

<h2>Answer with explanation:</h2>

Formula for plus-four confidence interval :

$\hat{p}\pm z^* \sqrt\dfrac{\hat{p}(1-\hat{p})}{n+4}}$

, where n= Sample size.

$\hat{p}$ = Sample proportion and $\hat{p}=\dfrac{x+2}{n+4}$

z* = Critical z-value.

Let p be the proportion of puppies area found with early hip dysplasia.

As per given , we have

n= 42

$\hat{p}=\dfrac{5+2}{42+4}=0.1522$

Since confidence interval is not given , so we assume it as 95% .

z-critical value for 95% confidence is 1.96.

Then, the required confidence interval will become :

$0.1522\pm (1.96)\sqrt{\dfrac{0.1522(1-0.1522)}{42+4}}\\\\ 0.152\pm (1.96)\sqrt{0.002805112173}\\\\ 0.152\pm 0.1038\\\\ =(0.1522- 0.1038 ,\ 0.152+ 0.1038)\approx(0.0484,\ 0.256)$

Hence, the plus four confidence interval for p = (0.0484, 0.256)

Interpretation: We are 95% sure that the true proportion of puppies area found with early hip dysplasia lies in (0.0484, 0.256).

7 0

2 years ago