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worty [1.4K]
3 years ago
14

Is 7,301,771 divisible by 6?​

Mathematics
1 answer:
Pie3 years ago
5 0

\huge\boxed{Hi\: there!}

\huge\mathfrak{Question:}

Is 7,301,771 divisible by 6?

\huge\mathfrak{Answer:}

No.

Remember, divisible by means the given number can be divided by a number without a remainder.

If we divide 7,301,771 by 6, we will get a remainder.

\huge\boxed{Therefore,\: 7,301,771 \: isn't \: divisible\: by 6.}

\huge\mathfrak{Good\: luck!}\\\huge\bold {~CheerfulTeen}

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Find the value of x for these. Geometry
diamong [38]

I'll do the first problem to get you started.

Triangle SRT is a right triangle with the 90 degree angle located at angle RST. This is because segment SR is an altitude of the triangle. Altitudes of a triangle go from a vertex to the opposite side, and they are perpendicular to the opposite side.

The acute angles of right triangle SRT add up to 90 degrees. They are complementary angles.

(angle SRT) + (angle STR) = 90

(4x-8) + (6x+13) = 90 .... substitution

10x + 5 = 90

10x + 5 - 5 = 90 - 5 .... subtract 5 from both sides

10x = 85

10x/10 = 85/10 .... divide both sides by 10

x = 8.5

Therefore the answer is choice A) x = 8.5

3 0
3 years ago
A carpenter bought 5 identical boxes of nails. She used 25 nails fir a project and now has 435 nails left. Which equation can be
stiks02 [169]

Answer:

The equation that can be solved to find the number of nails in each box =

5x = 460

The number of nails in each box = 92 nails

Step-by-step explanation:

A carpenter bought 5 identical boxes of nails. She used 25 nails for a project and now has 435 nails left. Which equation can be solved to find the number of nails in each box.

Let the number of nails in each box be represented by x

Therefore our Equation =

5x = 25 + 435

5x = 460

Solving for x

5x/5 = 460/5

x = 92 nails

Therefore, the number of nails in each box = 92 nails

5 0
3 years ago
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 430 gram setting. It
Zanzabum

Answer: We reject H₀  we find that the machine is underflling the bottles

P ( 421 ± 4,3376 )

Step-by-step explanation:

We assume a normal distribution

Population mean 430 grs

Unknown standard deviation

We have a one tail condition "underfilling"

And our test is:

Null hypothesis      H₀         X  =  μ₀

Alternative hypothesis    Hₐ     X  < μ₀

We must use t student distribution and find the interval

X ± t*(s/√n)

In that expession   X is the sample mean  421 grs, "s"  is sample standard deviation, n is sample size, then

421 ±  t * ( 15 / √21 )          (1)

We go to t table and look for t value for  α = 0,1 and df = 21 - 1   df = 20

we get t (remember it is a one tail test)  t = 1,325, plugging this value in equation (1) we get the interval

421 ± 1,325 * ( 15/√21 )    ⇒  421 ±  1,325 * ( 3,2737)

421 ± 4,3376  

421 + 4,3376  = 425,34

421 - 4,3376  = 416,66

As we can see the mean value of the population 430 grs is not inside the interval  [ 416,66 ;  425,34 ] then we can assure the machine is underfilling the bags, and not meeting the setting spec

6 0
3 years ago
What is the common difference of the sequence?
iren2701 [21]

The common difference is 11, you can see this because the number goes up by eleven each time.

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nata0808 [166]

Answer:

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But here, we are given a Δ XYZ which is translated to ΔCAB. This tells us more about how the corresponding points preserve their congruence nature.

i.e.

X corresponds to C

Y  corresponds to A

Z  corresponds to B

Similarly;

XY  corresponds to CA

YZ  corresponds to AB

XZ  corresponds to CB

Since both triangles preserve their congruence nature, then all corresponding points are congruent as well.

Therefore, from the choice of options given, only YZ  corresponds to AB is the right answer.

i.e.

YZ ≅ AB

9 0
3 years ago
Read 2 more answers
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