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Answer:

All integers are rational numbers

Step-by-step explanation:

Since any integer can be written as the ratio of two integers, all integers are rational numbers. Remember that all the counting numbers and all the whole numbers are also integers, and so they, too, are rational.

Answer:

True

Step-by-step explanation:

An integer is a number including positive and negatives with 0 that are whole numbers and are not fractions or decimals

Answer:

x = 6.9168 or x = 7

Step-by-step explanation:

Hope that helps :)

Answer:

B

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² = 4² + ([tex]\sqrt{5}[/tex] )² = 16 + 5 = 21 ( take the square root of both sides )

x = [tex]\sqrt{21}[/tex] → B

Answer:

4.19 cubic feet

Step-by-step explanation:

Answer:

19/99

Step-by-step explanation:

Answer:

100.571429.

Step-by-step explanation:

2*22/7*(4)^2

=44/7*16

=100.571429

Answer:

Observation : No two such factors can be found !! Conclusion : Trinomial can not be factored. Equation at the end of step 2 : 2n2 - 7n - 5 = 0. Step 3 : Parabola ...

Step-by-step explanation:

Answer:

5/13

Step-by-step explanation:

Find the diagram to the question attached

Given the following considering angle A

Hypotenuse = 13 = AB

Opposite = 5 (side facing the angle A) = BC

Adjacent = 12

According to SOH CAH TOA;

Sin theta = opposite/hypotenuse

Sin(a) = BC/AB

Sin(a) = 5/13

Hence the value of sin(a) is 5/13

Answer:

5 hours and 24 minutes

Step-by-step explanation:

sorry if im wrong

Answer:

5.4 hours

Step-by-step explanation:

I'm not 100 percent sure

hope this helped ;)

Answer:

(a) His speed when he runs from C to A is [tex]4.\overline {285714}[/tex] m/s

(i) The bearing of B from A is approximately 127.18°

(ii) The bearing of A from B is approximately 307.18°

Step-by-step explanation:

(a) The given parameters are;

The distance from A to B = 120 m

The speed with which Olay runs from A to B, v₁ = 4 m/s

The distance from B to C = 180 m

The speed with which Olay runs from B to C, v₂ = 3 m/s

The distance from C to A = 150 m

His average speed for the whole journey = 3.6 m/s

We find

The total distance of running from A back to A, d = 120 m + 180 m + 150 m = 450 m

The time it takes to run from A to B, t₁ = 120 m/(4m/s) = 30 seconds

The time it takes to run from B to C, t₂ = 180 m/(3m/s) = 60 seconds

Let t₃ represent the time it takes Olay to run from C to A

We have;

The total time it takes to run from A back to A = t₁ + t₂ + t₃

Therefore;

[tex]Average \ velocity = \dfrac{Total \ distance }{Total \ time} = \dfrac{d}{t_1 + t_2 + t_3}[/tex]

Substituting the known values for the average velocity, 'd', 't₁' and 't₂'  gives;

[tex]Average \ velocity = 3.6 \, m/s = \dfrac{450 \, m}{30 \, s + 60 \, s + t_3}[/tex]

3.6 m/s × (30 s + 60 s + t₃) = 450 m

3.6 m/s × 30 s + 3.6 m/s × 60 s + 3.6 m/s × t₃ = 450 m

108 m + 216 m + 3.6 m/s × t₃ = 450 m

∴ 3.6 m/s × t₃ = 450 m - (108 m + 216 m) = 126 m

t₃ = 126 m/(3.6 m/s) = 35 s

The speed with which Olay runs from C to A, v₃ = Distance from C to A/t₃

The speed with which he runs from C to A = 150 m/(35 s) = 30/7 m/s =[tex]4.\overline {285714}[/tex] m/s

(i) The given bearing of C from A = 210°

By cosine rule, we have;

a² = b² + c² - 2·b·c·cos(A)

∴ cos(A) = (b² + c² - a²)/(2·b·c)

Where;

a = The distance from B to C = 180 m

b = The distance from C to A = 150 m

c = The distance from A to B = 120 m

We find;

cos(A) = (150² + 120² - 180²)/(2 × 150 × 120) = 0.125

A = arccos(0.125) ≈ 82.82°

The bearing of B from A ≈ 210° - 82.82° ≈ 127.18°

The bearing of B from A ≈ 127.18°

(ii) The angle, θ, formed by the path of the bearing of A from B is an alternate to the supplementary angle of the bearing of B from A

Therefore, we have;

θ ≈ 180°- 127.18° ≈ 52.82°

The bearing of A from B = The sum of angle at a point less θ

∴ The bearing of A from B = 360° - 52.82° ≈ 307.18°

The bearing of A from B ≈ 307.18°.

Answer:

1/4 of an hour is 15 minutes

Step-by-step explanation:

Answer: 1/4 of an hr

Step-by-step explanation:

15/60 is 1/4

Answer:

C and D.

Step-by-step explanation:

For C, 4 * 2x = 8x and 4*1 = 4.

For D, 5x+3x = 8x and 2+2 = 4.

Answer:

A)  8( x + 2 ) is the only equal expression.

Answer:

Step-by-step explanation:

Answer:

16.6667% increase

Step-by-step explanation:

Percentage Increase=Final Value−Starting Value|Starting Value|×100  

Answer:

17%

Step-by-step explanation:

The increase is calculated as the difference between yesterday's price and today's price, hence $2.45 - $2.10 = $0.35

As a fraction of yesterday's price, the fraction is [tex]\frac{0.35}{2.10}[/tex], which reduces to [tex]\frac{1}{6}[/tex].  Expressed as a decimal fraction, this is 0.16...  Shift the decimal point two places to the right to get the percentage increase of 16.6...%.

Since it said to round to the nearest tenth, rounding it makes the answer of 17.0% or 17% because since 6 is bigger than 10, we needed to round up and thus the answer is 17%.

Answer:

Any number less than greater than or equal to 18

Step-by-step explanation:

Answer:

3 x -10.5

Step-by-step explanation:

The problem says "each for -10.50." That means every entry has a change of -10.5.

We know there are 3 entries so we are going to multiply 3 x -10.5 (The expression is the answer, not the actual answer.)

Answer:

30 blue pins

Step-by-step explanation:

30% is the same as 30 out of 100, so this can be written in this fraction: [tex]\frac{30}{100}[/tex]

now, you should multiply this fraction by the total number of pins she ordered:

100 x [tex]\frac{30}{100}[/tex]

to solve this, you can simplify by dividing 100 by 100, this equals 1

30 times 1 is 30

there are 30 blue pins

Answer:

30 hair pins were blue

Step-by-step explanation:

100 x 0.3 =  30

Answer:

arc XY = 46°

Step-by-step explanation:

The inscribed angle XZY is half the measure of its intercepted arc , then

arc XY = 2 × 23° = 46°

Answer:

19654,67397,67923,91945

Step-by-step explanation:

Ascending order mean arrange the number from smaller value to bigger value

Answer:

19654,67397,67923,91945

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Answer: Should be 7

Step-by-step explanation:

14/2 is 7

Answer:

$7969.24

Step-by-step explanation:

5000*1.06 to power of 8 = 7969.24037265

round to 2dp = $7969.24

Answer:

7400

Step-by-step explanation:

Answer:

Total cost= 99 + 2.97x

Step-by-step explanation:

Giving the following information:

Fixed cost= $99

Variable cost= 3% per person

First, we need to calculate the 3% of 99:

Unitary variable cost= 99*0.03= $2.97

Now, we establish the total cost structure:

Total cost= 99 + 2.97x

x= number of people in attendance

Finally, suppose 200 people attend the party:

Total cost= 99 + 2.97*200

Total cost= $693

Answer:

$5.25

Step-by-step explanation:

Given data

Original price= $35

Discount= 15%

let us find 15% of $35

=15/100*35

=0.15*35

=$5.25

Hence the amount of the discount is

$5.25

Answer:

Range: 75 Median: 58 1Q: 40 3Q: 75 Interquartile: 35

Answer:

The two triangles are related by angles, so the triangles are similar but not proven to be congruent.

Step-by-step explanation:

Because the triangles have the same angles, they are congruent. The definition of congruence is if you take a shape and scale it up or down (or keep it the same) therefore, they are congruent.

Hope this helped, have a nice day

EDIT: I screwed up, I thought it was supposed to be similar.  These triangles are SIMILAR not congruent. The actual answer is they are related by AAA similarity but they are similar, but they are not proven to be congruent. Hope this clears it up, and sorry.

~cloud

Answer:

x=y−5z

Step-by-step explanation:

y=5z+x

Step 1: Flip the equation.

x+5z=y

Step 2: Add -5z to both sides.

x+5z+−5z=y+−5z

x=y−5z

Answer:

x=y−5z

plz mark me as brainliest

Answer:

x = ay - 5z

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

Answer:

S

=

{

(

−

2

,

5

)

}

Step-by-step explanation: