Which of the following is a true statement of two linear equations?

Answer:

m = £122

Step-by-step explanation:

m = w - t

Where,

m = money Paul had to spend each week (£)

w = Paul's wage (£)

t = tax paid on his income (£)

If w = £160 and t = £38

Find m

m = w - t

= £160 - £38

= £122

Paul has £122 to spend if he earns £160 a week and pays £38 in tax

Answer:

1. meters

Step-by-step explanation:

The smallest unit given in the choice is millimeters. Then comes the centimeters, then meters,  and the kilometers.

Liters is used to measure the volume of a liquid. For example we get 1 liters of milk but not 1 kilometers of milk.

The kilometers has a 1000 meters and

1m= 100 cm

1cm = 10mm

The kilometers is quite a large space and usually long distances such as length between 2 towns is measured in kilometers.

The area of the room or length is usually measured in feet but since feet is not given here.

1 feet = 0.3048 m

so the most suitable selection would be meters.

The millimeters is very small. 1 cm has 10 mm. A foot consists of 30.48 cm.

So meters is used.

Answer:

El período de rotación de la luna no siempre era igual a su órbita alrededor del planeta. Al igual que la gravedad de la luna afecta las mareas del océano en la Tierra, la gravedad de la Tierra afecta a la luna. Pero debido a que la luna carece de un océano, la Tierra tira de su corteza, creando un maremoto en la línea que apunta hacia la Tierra.

Step-by-step explanation:

Answer:

Porque la gravidad de la tierra es mas fuerte que la gravidad the la luna.

Step-by-step explanation:

Answer:

If Union and Clayton are 8 km apart, it means they are 8 cm far apart on the map.

Step-by-step explanation:

Map scale = 4 cm : 4 km

Hence,

Given that Union and Clayton are 8 km apart.

Therefore, if Union and Clayton are 8 km apart, it means they are 8 cm far apart on the map.

Answer:

"With the high level of interest in our 45-70

Step-by-step explanation:

Answer:

[tex]9) \: y = - 1x - 6[/tex]

[tex]10) \: y = \frac{1}{6}x + 4[/tex]

Answer:

D

Step-by-step explanation:

In the original expression =  37.4 - 54.9 = -17.5

So, we have to solve all the equations but 1 of them has to equal to -17.5

A) -54.9 + (-37.4) = -92.3

   Remove parentheses

   = -54.9 - 37.4

Subtract the numbers

    -92.3

B) 54.9 - 37.4 = 17.5

Since 54.9 is greater than 37.4 just subtract normally

 4   14

  5  4.   9                < ------- Line up the decimal points like this

-  3  7.   4                <---------  Subtract the decimals

-----------------

   1   7   .    5       <---------- This is the final answer to B.                    

C)  37.4 - (- 54.9) = 92.3

   Change the sign to addition

        =37.4 + 54.9

  Add the numbers normally

  54.9

+ 37. 4

--------------

  92.3

D)  37.4 + (-54.9) = -17.5

   Change the sign to subtraction

      =    37.4 - 54.9

Subtract them normally (but as you can see you are subtracting a smaller number from a larger number so heres a trick that you can use switch the equation by putting the larger number in first like this....)

54.9 - 37.4 = 17.5 (REMEMBER the answer is not 17.5 because the original equation of D is reversed  37.4 - 54.9 so in this case your answer should be

- 17.5)

37.4 - 54.9 = -17.5

Your final answer is D because it matches 37.4 - 54.9.

Hope this helps!

Answer: -54.9+(-37.4)

Step-by-step explanation:

Your final answer is D because it matches 37.4 - 54.9.

Answer:

I think its 1/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

ANSWER: 16x+=92

Answer:

1 solution

Step-by-step explanation:

when you graph it, there is only one point in the line that you can see matches up

Answer:

1. (1, -3.5)

2. (-9, 25) *note, there is a typo in the question, please ask your teacher about this

Step-by-step explanation:

Use the midpoint formula to calculate the midpoint.

Use the formula to find the end point, and double the distance between your endpoint and midpoint to find the other endpoint.

Since the distance between the x coordinate is 8 (from -1 to 7), then the other endpoint is 8 away from -1, or -9.  

please give thanks :)

Step-by-step explanation:

48/4 = F/5

Therefore F is 60 when a is 5.

Answer:

a=22.478

Step-by-step explanation:

Answer:

Angle DE = 11

Step-by-step explanation:

DE = DF

8x + 3 = 6x + 5

8x = 6x + 5 - 3

8x - 6x = 2

2x = 2

2x/2 = 2/2

x = 1

DE = 8x + 3

DE = 8(1) + 3

DE = 8 + 3

DE = 11

Hope this helps

Answer:

$27.50

Step-by-step explanation:

55*50%

=55*1/2

=55/2

=27.5

Answer:

27.5

Step-by-step explanation:

50 divided into 2 is 20.50

5 divided by 2 is 2.50

Answer:

  50 miles per hour

Step-by-step explanation:

The speed can be found from a graph of distance versus time by looking at the slope of the graph. Here, the graph is a straight line, so the slope is constant. This means the speed is constant.

__

It can be convenient to determine the speed by looking at distance for times that are 1 time unit apart. Here, that could be the distances at t=0 and at t=1. We see in that hour, the train traveled from 100 miles to 150 miles away from the station. Its speed was 150 -100 = 50 miles per hour.

Answer:

50 miles per hour

Step-by-step explanation:

Hope this helps sorry if it doesn't

Answer:

Step-by-step explanation:

48/6.19=7.7544

Round that answer so it’s 7.75

Unit rate is $7.75 per ounce

Answer:

D. w = l − 40; the width increases as the length decreases

Step-by-step explanation:

The formula for the perimeter of a rectangle =

P = 2l + 2w

Where to find the Width, we make w the subject of the formula.

Hence:

P - 2l = 2w

w = P - 2l/2

From the question, P = 80

Hence,

w = 80 - 2l/2

w = 80/2 - 2l/2

w = 40 - l

The width of a rectangle is always the longer side ,hence:

D. w = l − 40; the width increases as the length decreases

Answer:

564 people

Step-by-step explanation:

Total cups of yogurt to share = 423 cups

Each guests get = 3/4 of a cup per serving

How many people can Clancy invite to his party if he needs a serving of yogurt as well?

Number of people Clancy can invite to his party = Total cups of yogurt to share / servings per guests

= 423 cups ÷ 3/4 cups

= 423 × 4/3

= 141 × 4

= 564

Number of people Clancy can invite to his party = 564 people

Answer:

y = 1/4x + 0 or just y = 1/4x

Step-by-step explanation:

First I need the slope so I look at the dots and see how much boxes it goes up and then to the side. So it’s up 2 to the side 8. The slope would be 2/8 but you can simply it by 2 and you get 1/4. And the y intercept is given its zero.

Answer:

Chebyshev's Theorem (Tchebysheff's Theorem) suggests that this percentage would be greater than [tex]75\%[/tex].

Step-by-step explanation:

Let [tex]Y[/tex] be a random variable with a mean of [tex]\mu[/tex] and a (finite) variance of [tex]\sigma[/tex]. By Chebyshev's Theorem, for any constant [tex]k[/tex] where [tex]k > 0[/tex]:

[tex]\displaystyle P\left(\left|Y -\mu\right| \le k\, \sigma\right) \ge 1 - \frac{1}{k^2}[/tex].

In this question, let [tex]Y[/tex] denote height (in inches.) Accordingly, [tex]\mu = 63.6[/tex] whereas [tex]\sigma = 2.5[/tex].

Note, that the interval of interest [tex](58.6,\, 68.6)[/tex] is centered at [tex]\mu = 63.6[/tex]. Besides, the difference between [tex]\mu[/tex] and either endpoints of this interval is equal to [tex]5.0[/tex], which is the same as [tex]2\, \sigma[/tex].

Rewrite the interval [tex](58.6,\, 68.6)[/tex] as [tex](63.6 - 2\times 2.5,\, 63.6 + 2 \times 2.5)[/tex].

For the height [tex]Y[/tex] of one such individual, [tex]Y \in (58.6,\, 68.6)[/tex] is equivalent to [tex]\left|Y - 63.6\right| < 2 \times 2.5[/tex]. With [tex]\mu = 63.6[/tex] whereas [tex]\sigma = 2.5[/tex], that expression is equivalent to [tex]\left|Y - \mu \right| < 2\, \sigma[/tex].

The percentage of individuals with a height in the interval [tex](58.6,\, 68.6)[/tex] would be equal to the probability [tex]P(\left|Y - \mu \right| < 2\, \sigma)[/tex].

Compare this expression to Chebyshev's Theorem. Notice that [tex]k = 2[/tex]. Therefore:

[tex]\displaystyle P\left(\left|Y -\mu\right| \le 2\, \sigma\right) \ge 1 - \frac{1}{2^2} = 0.75[/tex].

In other words, at least [tex]75\%[/tex] of the heights would be between [tex]58.6[/tex] inches and [tex]68.6[/tex] inches.

Answer:

Step-by-step explanation:

|9 + x| > 19

9 + x > 19       ∨       9 + x < -19

   x  > 10        ∨          x < -19

         x ∈ (-∞ , -19) ∪ (10 , ∞)

Answer:

D) 132

Step-by-step explanation:

y + 3x  =  180    {Co interior angles}

        y = 180 - 3x    ------------(I)

7x + 20 = y       {Vertically opposite angles}

7x + 20 = 180 - 3x   {From equation (I)}

7x + 3x +20 = 180

       10x + 20 = 180

            10x  = 180 -20

              10x = 160

                 x = 160/10

                x = 16

Plug in x = 16 in equation (I)

y = 180 - 3x

  = 180 - 3*16

  = 180 - 48

y = 132

Consider the attached diagram. Segment KO is an altitude of the triangle, so KO ⊥ LM. ∠L has measure 180° -105° -30° = 45°, so ΔKOL is an isosceles right triangle.

If we let segment LO have measure 1, then KO also has measure 1 and KL has measure √(1²+1²) = √2 by the Pythagorean theorem.

ΔKMO is half of an equilateral triangle, so KM has measure 2, and MO has measure √(2²-1²) = √3 by the Pythagorean theorem.

Then the ratio of KM to LM is 2:(1+√3) and the ratio of KL to LM is √2:(1+√3). That is, ...

... KL = LM×(√2)/(1+√3) = (20√3)(√2)/(1 +√3)

... KL = (20√6)/(√3 +1) = (20√6)(√3 -1)/(3 -1) . . . . . with denominator rationalized

... KL = 30√2 -10√6 ≈ 17.9315

and

... KM = LM×2/(1+√3) = KL×√2

... KM = (30√2 -10√6)√2

... KM = 60 -20√3 ≈ 25.3590

== == == == == ==

The Law of Sines tells you ...

... KL/sin(M) = KM/sin(L) = LM/sin(K)

Then ...

... KL = sin(M)·LM/sin(K) = sin(30°)·20√3/sin(105°) ≈ 17.9315

... KM = sin(L)·LM/sin(K) = sin(45°)·20√3/sin(105°) ≈ 25.3590

Answer:

Step-by-step explanation:

Since m∠1 = m∠2, KF is angle bisector of ∠K

In the ΔKFM we have:

Using low of sines:

Answer:

4 gallons

Step-by-step explanation:

divide 15 by 3.785

Answer:

4 gallons

Step-by-step explanation:

15 divided by 3.785 liters)

Answer:

c. 3x + 2( 3 x plus 2 )

d. 6x − 3x+ 1 −1(6 x minus 3 x plus 1 minus 1)

Step-by-step explanation:

We are given the expression:

6x+1−1(3x−1) .

Solving this expression:

6x + 1 - 3x +1

Collect like terms

6x - 3x +1 +1

3x + 2

Hence, the expression that are equivalent to 3x + 2 are:

c. 3x+2( 3 x plus 2 )

d. 6x−3x+1−1(6 x minus 3 x plus 1 minus 1)

Answer:

10/3

3.3reaping

3 1/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Geometric sequence with:

Formula for nth term is:

For the given terms we have:

Comparing the terms:

Substituting values to find the value of r:

Then finding a₁:

Answer:

Banded Lat Stretch. The range of motion in the shoulders is directly connected to how well the muscles of the upper back allow them to move.

Banded Pull Aparts.

Banded Pass Through.

Pull Ups

Push Ups

Step-by-step explanation:

Some exercises to strengthen the upper body include:

1. Chest Press.

2. Bench Dip.

3. Bicep Curl.

4. Pull Ups.

5. Push Ups.

6. Arm Raise

Answer:

He can make 5 ribbons and 2/5 yards is left over.

Step-by-step explanation:

It is given that,

Length of the colored ribbon = 9/10 yards

Luke plans to cut the ribbon into pieces.

Each piece will be 1/6 yard long.

We need to find the number of pieces that Luke can made from the ribbon. Let he can make x pieces.

[tex]x=\dfrac{\dfrac{9}{10}}{\dfrac{1}{6}}\\\\=\dfrac{9}{10}\times 6\\\\=5.4\\\\=5\dfrac{2}{5}[/tex]

It means he can make 5 ribbons and 2/5 yards is left over.