Owen's score in a card game is 6
points away from zero. If David's score
is the opposite of Owen's and is a
positive value, what is David's score?

Answer:

If three sides of one triangle are congruent to three corresponding sides of another triangle, then the triangles re congruent.  SSS

Step-by-step explanation:

or If two sides and the included angle of one triangle are congruent to the corresponding sides and the included angle of another triangle, then the triangles are congruent.  SAS

Answer:

Step-by-step explanation:

A ∪ B 2.A ∪ C 3.A ∩ B 4.A ∩ C 5.B ∩ C. 4 - {1,3,5} 5 - null, or empty set ... a = ∅ b = B c = then A ∪ B = B d = A e = then A ∩ B = B. 1. If A ⊂ B ...

Answer:

Yes, he can swim 100 lengths in under 45 minutes.

Step-by-step explanation:

First we divide 100 by 5

100 ÷ 5 = 20

Now we can multiply this by 130 seconds

Now we have 2600 seconds

Since 1 minute is 60 seconds we divide 2600 by 60 seconds

2600 ÷ 60, this gets us 43.33... minutes, which is less than 45 minutes.

This is all assuming his rate is constant.

Micheal takes 43.333 minutes to swim 100 lengths.

Length is a measurement or extent of something from one end to another end.

The SI unit of length is meter.

Given that,

To cover 5 lengths, time taken by Micheal =  130 seconds,

Therefore,

Time taken by Micheal to cover 1 length = 130/5 = 26 seconds

Time to cover 100 length = 26×100=2600 seconds

1 minute = 60 seconds

100 length is covered = 2600×1/60 minute

                                    = 43.333 minute

So, To swim 100 lengths Micheal takes 43.333 minutes, which is under 45 minutes.

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Let the first no be x

ATQ

[tex]\\ \sf\longmapsto \dfrac{1}{x}+\dfrac{1}{2x+1}=\dfrac{7}{10}[/tex]

[tex]\\ \sf\longmapsto \dfrac{3x+1}{2x^2+x}=\dfrac{7}{10}[/tex]

[tex]\\ \sf\longmapsto 30x+10=14x^2+7x[/tex]

[tex]\\ \sf\longmapsto 14x^2-23x-10=0[/tex]

On solving we get

[tex]\\ \sf\longmapsto x=-5/14\:or\:2[/tex]

First no=2

Second no=5

The value of the two variables 'x' and 'y' will be 2 and 5, respectively.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

There are two figures. The second number is one greater than twice the first. The total of the number's reciprocals is 7/10.

Let the two numbers be 'x' and 'y'. Then the equations are given as,

y = 2x + 1                   ...1

1/x + 1/y = 7/10           ...2

From equations 1 and 2, then we have

1/x + 1/(2x + 1) = 7/10

10(2x + 1 + x) = 7x(2x + 1)

30x + 10 = 14x² + 7x

14x² - 23x - 10 = 0

14x² - 28x + 5x - 10 = 0

14x(x - 2) + 5(x - 2) = 0

(14x + 5)(x - 2) = 0

x = 2, - 5/14

At x = 2, then the value of y is given as,

y = 2 (2) + 1

y = 5

The value of the two variables 'x' and 'y' will be 2 and 5, respectively.

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Answer:

if you're doing the scale factor of small to big it would be 1/4, but if you're doing from big to small it would be 4

Bran has to make in all to walk a total of 28 kilometers  : 4 x 2 = 8 ( trips )

ok done. thank to me :>

Step-by-step explanation:

given,

MP = x - 8

PN = 3x - 9

MN = 21

we know,

according to segment addition postulate AB + BC = AC

now,

MP + PN = MN

→ x - 8 + 3x - 9 = 21

→ 4x - 17 = 21

→ 4x = 21 + 17

→ 4x = 38

→ x = 38/4 = 9

→ x = 9

therefore, value of x is 9.

hope this answer helps you dear! take care

Answer: 4 hours 30 minutes

Step-by-step explanation: 36/8 = 4.5 hours

hours = 4, minutes = 0.5*60 = 30

Answer:

-2, -1, 0, 1

Step-by-step explanation:

-2

-1

0

1

All the possible values of t in the inequality - 3 < t < 2 is,

t = - 2, - 1, 0, 1

Used the concept of inequality that states,

A relation by which we can compare two or more mathematical expressions is called an inequality.

Given that;

The inequality is,

- 3 < t < 2

Here the given inequality means all the values of t are lies between - 3 and 2.

That is,

t = - 2, - 1, 0, 1

Therefore, the value of t are t = - 2, - 1, 0, 1

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[tex](n \times (12 + 18)) + 43 = 103[/tex]

[tex]30n + 43 = 103[/tex]

Subtract both sides 43

[tex]30n + 43 - 43 = 103 - 43[/tex]

[tex]30n = 60[/tex]

Divide both sides by 30

[tex] \frac{30n}{30} = \frac{60}{30} \\ [/tex]

[tex]n = 2[/tex]

Answer:

a) -5 meters

b)160°C

Step-by-step explanation:

Answer:

0.4/1

Step-by-step explanation:

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 30

Answer:

You have A correct and I think B, is the second one

Step-by-step explanation:

You already have A correct as I solved the problem quickly (if you want a explanation I can give one) then the second one for B makes sense as it explains the same problem that was correct on question A. If you want more of a explanation I can give one

Answer:

the pool with 40m³ of water in it is 1.25m deep

Step-by-step explanation:

first convert 150 cm to 1.5m

2nd 8m l × 4m w × 1.5m d = 48m³

3rd divide 40m³ by 8m l × 4m w or 32m²

40m³/32m² = 1.25m deep

Answer:

-9

Step-by-step explanation:

the teacher was right

Answer:

The answer is 18

Step-by-step explanation:

4050/225 = 18

Therefore 4050/18 = 225

The spin of the wheel by the contestant is an illustration of a sine function whose equation is [tex]\mathbf{y =-1.25 sin(0.8x) + 0.25}[/tex]

The wheel is 1.5 m above the floor, and the peg reaches a maximum height of 2.75 m.

So, the amplitude is:

[tex]\mathbf{A = 1.5 - 2.75}[/tex]

[tex]\mathbf{A = -1.25}[/tex]

The vertical shift is the minimum height of the peg.

So, we have:

[tex]\mathbf{D = 0.25}[/tex]

The period (T) equals one circumference.

So, we have:

[tex]\mathbf{T = (max-min)\pi}[/tex]

This gives

[tex]\mathbf{T = (2.75-0.25)\pi}[/tex]

[tex]\mathbf{T = 2.5\pi}[/tex]

The frequency (B) is then calculated as:

[tex]\mathbf{B = \frac{2\pi}{T}}[/tex]

This gives

[tex]\mathbf{B = \frac{2\pi}{2.5\pi}}[/tex]

Divide

[tex]\mathbf{B = 0.8}[/tex]

A sine function is represented as:

[tex]\mathbf{y =A sin(B(x + C)) + D}[/tex]

Substitute the calculated values

[tex]\mathbf{y =-1.25 sin(0.8(x + C)) + 0.25}[/tex]

The horizontal shift (C) is 0.

So, the function becomes

[tex]\mathbf{y =-1.25 sin(0.8x) + 0.25}[/tex]

See attachment for the graph of the equation

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Step-by-step explanation:

3.5 liters were originally in it.

then 0.75 liters were taken out.

that left 2.75 liters.

then 1.25 liters were taken out.

that left 1.5 liters in the container.

Answer:

How much did she start with tho???

Step-by-step explanation:

Answer:

4.8

Step-by-step explanation:

Not sure if this is what you're asking but because it is equilateral each side is the same. So you divide 14.4 by 3, to get 4.8.

Answer:The radical symbol √ is used to indicate the square root. For example, √16 = 4. The radical symbol is also called a root symbol or surds. If a number is a perfect square, we can easily find the squar

Step-by-step explanation:

Answer:

Step-by-step explanation:

The square root of a number is a whole number between 50 and 100.

Let the number be n, given:

Square both sides:

The number is a perfect square between 2500 and 10000.

Let the number is n:

Square both sides:

Solution is:

The answer is yes, the number must be between 0 and 1.

Answer:

  x ≤ 5 5/8

Step-by-step explanation:

  8x +15 ≤ 60 . . . . . . given

  8x ≤ 45 . . . . . . . . . subtract 15

  x ≤ 5 5/8 . . . . . . . . divide by 8

The graph is a solid dot at x = 5 5/8, with shading extending to the left.

Answer:

[tex]x^2-9x+20[/tex]

Step-by-step explanation:

Use the distributive property.

[tex](x-5)(x-4)[/tex]

[tex]x^2-5x-4x+20[/tex]

[tex]x^2-9x+20[/tex]

This is already in standard form.

Hope this helps!

Answer:

31

Step-by-step explanation

16x0+2x2•y-1

ok now

16•2+2•2•2•4-1

wich is: 31

Answer: Cheryl earns $6.20 more per hour.

Step-by-step explanation:

$/hr    OT   $/hr OT

 18     1.5      27

 16.6    2       33.2

Cheryl wins the overtime pay rate with $33.20/hr OT (OverTime).  She earns $6.20 more per hour.  [How's it feel, Colby?].

Cheryl earns more from overtime than Colby by $6.2 per hour.

Given that,
Colby regularly earns $18 per hour, and he is paid time-and-a-half for each hour of overtime he works.
Cheryl regularly earns $16.60 per hour, and she is paid double time for an hour of overtime.
To determine who earns more for one hour of overtime and wow much more.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
From given
The factor of earning overtime for Colby = 1.5
earning of from overtime for an hour of Colby = 18 * 1.5 = $27
The factor of earning overtime for Cheryl = 2
earning of from overtime for an hour of Cheryl  = 16.60 * 2= $33.20

So,
33.20 > 27
Implies
Their overtime earnings

of Cheryl is greater than Colby's by 33.20 - 27 = $6.2 per hour.

Thus, Cheryl earns more from overtime than Colby by $6.2 per hour.

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