Each day for a week, Paul swims 20 laps of a 50 metre pool. One lap is from one end of the pool to the other. He wants to know if he keeps this up, how many laps he will have completed after 5 weeks and how far he would have swum in that time. (a) How many laps does Paul swim in one week?

Answer:

[tex]110\geq x \leq 220[/tex]

Step-by-step explanation:

Given

Minimum: 110

Maximum = 220

Required

Write as interval notation

Let the real numbers be represented with x

We start by setting x greater than or equal to the minimum:

[tex]x \geq 110[/tex]

Then, we set x less than or equal to the maximum:

[tex]x \leq 220[/tex]

Write out both inequalities

[tex]x \geq 110[/tex] and [tex]x \leq 220[/tex]

This can be rewritten as:

[tex]110 \geq x[/tex] and [tex]x \leq 220[/tex]

Both inequalities can be merged to give:

[tex]110\geq x \leq 220[/tex]

Answer:

(110,220)

I not sure about this answer but if I correct than your welcome and if I wrong then sorry.

Answer:

left 7 and up 13

Step-by-step explanation:

The translation path of Point A (3, -8) to A'(-4,-5) exists 3 units down and 7 units to the left.

A translation in mathematics does not turn, but rather moves a shape left, right, up, or down. Congruent translations are those in which the translated shapes (or the image) seem to be the same size as the source ones. Just one or more directions have they shifted.

Each point in a figure is moved by the same amount and in the same direction during a translation, a type of transformation.

With a sort of transformation called translation, every point in a figure is moved the same distance in the same direction.

The translation path of Point A (3, -8) to A'(-4,-5) exists 3 units down and 7 units to the left.

To learn more about translation, refer to:

brainly.com/question/12861087

#SPJ2

Answer:

60-x

Step-by-step explanation:

a number = x

Answer:

[tex]CD = 15[/tex]

Step-by-step explanation:

Given

[tex]BC = x + 4[/tex]

[tex]CD = 5x[/tex]

[tex]BD = 5x + 7[/tex]

Required

Determine CD

Since Point C is on segment BD, then we have

[tex]BD = BC + CD[/tex]

Substitute x + 4 for BC; 5x for CD and 5x + 7 for BD

[tex]5x + 7 = x + 4 + 5x[/tex]

Collect Like Terms

[tex]5x - 5x - x = 4 - 7[/tex]

[tex]- x = -3[/tex]

Multiply both sides by -1

[tex]x = 3[/tex]

Substitute 3 for x in [tex]CD = 5x[/tex]

[tex]CD = 5(3)[/tex]

[tex]CD = 15[/tex]

Hence, the length of CD is 15 units

Answer:

Step-by-step explanation:

Given

Required

Determine CD

Since Point C is on segment BD, then we have

Substitute x + 4 for BC; 5x for CD and 5x + 7 for BD

Collect Like Terms

Multiply both sides by -1

Substitute 3 for x in  

Hence, the length of CD is 15 units

Step-by-step explanation:

Answer:

53

Step-by-step explanation:

Answer: Opposite of -53 = -(53) = 53

Step-by-step explanation: An opposite number of n is the exact same number as n on the other side of the number line. the opposite of n is n.

Answer:

B. 0.03110

Step-by-step explanation:

Given

Probability of Hit = 60%

Required

Determine the probability that he misses at 6th throw

Represent Probability of Hit with P

[tex]P = 60\%[/tex]

Convert to decimal

[tex]P = 0,6[/tex]

Next; Determine the Probability of Miss (q)

Opposite probabilities add up to 1;

So,

[tex]p + q = 1[/tex]

[tex]q = 1 - p[/tex]

Substitute 0.6 for p

[tex]q = 1 - 0.6[/tex]

[tex]q = 0.4[/tex]

Next,is to determine the required probability;

Since, he's expected to miss the 6th throw, the probability is:

[tex]Probability = p^5 * q[/tex]

[tex]Probability = 0.6^5 * 0.4[/tex]

[tex]Probability = 0.031104[/tex]

Hence;

Option B answers the question

Answer:

b) 0.03110

Step-by-step explanation:

Got it right on the test.

Answer:

  14 cm

Step-by-step explanation:

The applicable formula is ...

  s = rθ

  s = (7 cm)(2) = 14 cm

Answer:X-15

Step-by-step explanation:

Answer:

x = 2x + 15

x - 2x = 2x +15

-x = 15

-x /- = 15/-

x = -15

Step-by-step explanation:

hope that will help you.

Answer:

x = −15

Step-by-step explanation:

x−2x = 2x+15−2x

−x = 15

−x/−1 = 15/−1

x = −15

Answer:

one half of a plus six times b divided by seven

Step-by-step explanation:

Answer:

106.68 cm

Step-by-step explanation:

Change ft to inches

3.5 ft * 12 inches / 1 ft = 42 inches

Change inches to cm

42 inches * 2.54 cm/ inch =106.68 cm

Answer:

106.68cm

Step-by-step explanation:

divide by feet untill you get inches

Answer:

The answer is C.8. The answer above is incorrect.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

on edge 2021

Answer:

B) 12.56

Step-by-step explanation:

The formula for circumference of a circle is 2πr.

Substitute r for 2 and it becomes 4π.

4π ≈ 12.56

Answer: is 12.56

Step-by-step explanation:

Answer: 10 hours

Step-by-step explanation: so if you do 10 times 2.00 it equals 20 dollars or you can divide 20 and 2

Answer: 35.34

Step-by-step explanation:

(6.2)x(5.7)= 35.34

Hope this helps!

Answer:

-18.

Step-by-step explanation:

|-3| = 3.

Hence |-3| * (-6) = 3 * (-6) = -18.

Answer:

the awnser is 18

Step-by-step explanation:

|-3| = 3.

Hence |-3| * (-6) = 3 * (-6) = -18.

Answer:

p= (9.1 x 10^-31)(2.18 x 10^6)   p = 1.9 x 10^-22kg*m/s

Step-by-step explanation:

for i said so

The momentum of electron is [tex]1.9\times 10^{26}[/tex] kg m per second.

Given, mass of electron is [tex]9.1\times 10^{-31}[/tex] kg.

And its velocity is [tex]2.18 \times 10^6[/tex] m per s.

We have to calculate its momentum.

We know that momentum is numerically equal to the product of mass and velocity of a particle and denoted by p.

So, [tex]p=mv[/tex]

[tex]p= 9.1\times10^{-31}\times2.18\times10^{6}[/tex]

[tex]p=19.838\times10^{25}[/tex]

[tex]p=1.9\times10^{26}[/tex]

Hence the momentum of electron is [tex]1.9\times 10^{26}[/tex] kg m per second.

For more details follow the link:

https://brainly.com/question/4956182

Answer:

[tex]x^3[/tex]-15[tex]x^{2}[/tex]+25x-125

Step-by-step explanation:

This is a quadratic equation, so we need to open the equation first. There are three (x-5), and then we multiply them together, and then combine like terms to get the answer.

(x-5)(x-5)(x-5)=

[x(x-5)-5(x-5)](x-5)=

([tex]x^{2}[/tex]-5x-5x+25)(x-5)=

([tex]x^{2}[/tex]-10x+25)(x-5)=

x([tex]x^{2}[/tex]-10x+25)-5([tex]x^{2}[/tex]-10x+25)

[tex]x^3[/tex]-[tex]10x^2[/tex]+25x-[tex]5x^2[/tex]-125=

[tex]x^3[/tex]-15[tex]x^{2}[/tex]+25x-125

Details are missing;

A board of 15 balloons. 4 are purple, 3 red, 4 blue, 2 yellow and 2 green

Answer:

the probability that both the balloons you break are purple = 2/35

Step-by-step explanation:

Since there are 15 balloons and 4 are purple. It means that probability of the first balloon being purple is;

4/15

Now, if the first balloon is purple, it means we have 3 purple left out of the remaining 14. Thus probability of the second being purple = 3/14

Thus;

the probability that both the balloons you break are purple = 4/15 × 3/14 = 2/35

Step-by-step explanation:

25 - 3f

25 - 3(7)

25 - 21

4 pounds of potting soil remains

♡ Hope it helps ♡

1

GIVE ME BRAINLIEST MY GUY PLZ

1 problem

Because there are 13 problem and if she completed 12 of them yesterday .Only 1 will be left for today.

Answer:

2 - 2n

Step-by-step explanation

We can use n for the number.

2 - 2(n)

2- 2n

Answer:

2(n-1)

Step-by-step explanation:

Let n be the number

=>2-2n

=>2(n-1)

Answer:

MO = 17

Step-by-step explanation:

First, you need to define what if the unknown x.

segment MN and NO are equal to MO.

thus, your equation for the combination is x +8

Now set the values equal to each other

x + 8 = 3x - 10 (subtract x from both sides)

8 = 2x - 10 ( get your x value alone, add 10 to both sides)

18 = 2x (simplfy)

x = 9

Now plug x value into MO

3 (9) - 10 = 17

Check with opposing equation:

9 + 8 = 17 √

Answer: 6 OR 6/1

3         8             24            6

-    x     -    =        _     =       -     OR 6

4          1              4              1

Step-by-step explanation: Hope this helps!  ~Pooch ♥

Answer:

TRUE

Step-by-step explanation:

if the adjacent angles are equal, then they are right angles.

Answer:

2 in

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Given

[tex]\frac{1}{(t-2)^2}[/tex] = 6 + [tex]\frac{1}{(t-2)}[/tex] ( multiply through by (t - 2)²

1 = 6(t - 2)² + t - 2 ← distribute parenthesis and simplify

1 = 6(t² - 4t + 4) + t - 2

1 = 6t² - 24t + 24 + t - 2

1 = 6t² - 23t + 22 ( subtract 1 from both sides )

6t² - 23t + 21 = 0 ← in standard form

(2t - 3)(3t - 7) = 0 → in factored form

Equate each factor to zero and solve for t

2t - 3 = 0 ⇒ 2t = 3 ⇒ t = [tex]\frac{3}{2}[/tex] ← p

3t - 7 = 0 ⇒ 3t = 7 ⇒ t = [tex]\frac{7}{3}[/tex]  ← q

Thus

p × q = [tex]\frac{3}{2}[/tex] × [tex]\frac{7}{3}[/tex] = [tex]\frac{21}{6}[/tex] = [tex]\frac{7}{2}[/tex] → B