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3 years ago

3O POINTS!! AND I WILL MARK THE BRAINLEST ANSWER EVER PLZ HELPP MEEE

Mathematics

1 answer:

AysviL [449]3 years ago

4 0

Answer: Use order of operations (PEMDAS). Answer is 45.72.

Step-by-step explanation:

First, solve inside parenthesis:

(5.25*1 1/5 - 4.5*4/5)

Convert 1 1/5 into decimal. It will be easier. 1 1/5 is the same as 1.2

Do multiplication and division first.

5.25*1.2 = 6.3

Now it looks like: (6.3 - 4.5*4/5)

Convert 4/5 to a decimal: 4/5 = 0.8

(6.3 - 4.5*0.8)

Multiply 4.5*0.8 = 3.7

Subtract (6.3 - 3.7) = 2.6

Now the full equation is: 19.6*2 1/5 + (2.6)

2 1/5 as a decimal: 2.2

Multiply 19.6*2.2 = 43.12

Now the equation is: 43.12 + 2.6

Add 43.12 + 2.6 = 45.72

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Prove each of the following statements below using one of the proof techniques and state the proof strategy you use.

pochemuha

Answer:

See below

Step-by-step explanation:

a) Direct proof: Let m be an odd integer and n be an even integer. Then, there exist integers k,j such that m=2k+1 and n=2j. Then mn=(2k+1)(2j)=2r, where r=j(2k+1) is an integer. Thus, mn is even.

b) Proof by counterpositive: Suppose that m is not even and n is not even. Then m is odd and n is odd, that is, m=2k+1 and n=2j+1 for some integers k,j. Thus, mn=4kj+2k+2j+1=2(kj+k+j)+1=2r+1, where r=kj+k+j is an integer. Hence mn is odd, i.e, mn is not even. We have proven the counterpositive.

c) Proof by contradiction: suppose that rp is NOT irrational, then rp=m/n for some integers m,n, n≠. Since r is a non zero rational number, r=a/b for some non-zero integers a,b. Then p=rp/r=rp(b/a)=(m/n)(b/a)=mb/na. Now n,a are non zero integers, thus na is a non zero integer. Additionally, mb is an integer. Therefore p is rational which is contradicts that p is irrational. Hence np is irrational.

d) Proof by cases: We can verify this directly with all the possible orderings for a,b,c. There are six cases:

a≥b≥c, a≥c≥b, b≥a≥c, b≥c≥a, c≥b≥a, c≥a≥b

Writing the details for each one is a bit long. I will give you an example for one case: suppose that c≥b≥a then max(a, max(b,c))=max(a,c)=c. On the other hand, max(max(a, b),c)=max(b,c)=c, hence the statement is true in this case.

e) Direct proof: write a=m/n and b=p/q, with m,q integers and n,q nonnegative integers. Then ab=mp/nq. mp is an integer, and nq is a non negative integer. Hence ab is rational.

f) Direct proof. By part c), √2/n is irrational for all natural numbers n. Furthermore, a is rational, then a+√2/n is irrational. Take n large enough in such a way that b-a>√2/n (b-a>0 so it is possible). Then a+√2/n is between a and b.

g) Direct proof: write m+n=2k and n+p=2j for some integers k,j. Add these equations to get m+2n+p=2k+2j. Then m+p=2k+2j-2n=2(k+j-n)=2s for some integer s=k+j-n. Thus m+p is even.

7 0

2 years ago

Let the equation of a line be described by Equation A:

umka2103 [35]

10y - 5x = 40 Add 5x to both sides
10y = 5x + 40 Divide both sides by 10
y = $\frac{1}{2}$ x + 4

The y-intercept is 4 and the slope of the line is $\frac{1}{2}$ .

You can find these by comparing your equation to the equation y = mx + b, where m is the slope of the line and b is the y-intercept.

4 0

3 years ago

X-coordinate the definition for that

Step2247 [10]

Answer:

An x-coordinate is the x value in an ordered pair, which is just two mathematical objects, such as numbers, paired together. Usually, the x-coordinate is the first number in that pair. For instance, in the ordered pair (2,5), the x-coordinate would be '2.

Step-by-step explanation:

7 0

3 years ago

LT1 10th grade level

Anton [14]

Answer:

The distance between the pirate and the treasure can be found from the following relationship between ΔEAF and ΔABC;

$\overline{AE}$ / $\overline{AB}$ = $\overline{FA}$ / $\overline{AC}$ = $\overline{EF}$ / $\overline{BC}$

Step-by-step explanation:

From the question diagram, we have two triangles, ΔEAF and ΔABC;

The ratio of the lengths of the sides $\overline{AE}$ / $\overline{AB}$ = $\overline{FA}$ / $\overline{AC}$

∠EAF and ∠BAC are vertical angles, therefore ∠EAF = ∠BAC

Therefore, ΔEAF and ΔABC are similar triangles by Side-Angle-Side, SAS, rule of similarity which states that two triangles that have ratios of a pair of their corresponding sides and the two sides also form equal angles within each triangle, then the two triangles are similar

Therefore, the ratio of the each pair of corresponding sides of the two triangles are equal

We have;

$\overline{AE}$ / $\overline{AB}$ = $\overline{FA}$ / $\overline{AC}$ = 50 ft. /(100 ft.) = $\overline{EF}$ / $\overline{BC}$ = $\overline{EF}$ /120 ft.

$\overline{EF}$ = 120 ft. × 50 ft./(100 ft.) = 60 ft.

$\overline{EF}$ = 60 ft.

The distance between the pirate and the treasure, $\overline{EF}$ = 60 ft.

4 0

3 years ago

What's 6 15/40 Simplified ?

Phoenix [80]

it would be 6 3/8 because the common factor is 5

3 0

3 years ago

Read 2 more answers