A mixture is made with 45 ounces of a 10% saline solution and $x$ ounces of a 70% saline solution. The resulting mixture is a 25% saline solution. What is the value of $x$

Step-by-step explanation:

48/4 = F/5

Therefore F is 60 when a is 5.

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:

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.

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:

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:

w = 15

Step-by-step explanation:

2w - w = 10+5

w = 15

simple!

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:

If HF = 6 units, then BF = 12 units.

Step-by-step explanation:

In ΔBCD, H is the centroid.

Given

We know that the centroid is the point of intersection of the medians of a triangle.

Centroid divides a median in a 2:1 ratio.

In other words, the location of the centroid lies at 2/3 of the distance from the vertex along the segment BF that connects the vertex to the midpoint of the opposite side.

so

HF = 1/2 BF

substituting HF = 6

6 = 1/2BF

BF = 12 units

Therefore, if HF = 6 units, then BF = 12 units.

Answer:

HF = 6 units and BF = 12 units

Step-by-step explanation:

Hope this helps!

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:

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:

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:

divide it and do multiply and add it and subtract it

The number of snow storms were in the city in the five-year period is 75.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, during a five-year period 24% of snowstorms in a certain city caused power outages.

Let the number of snow storms were in the city in the five-year period be s.

57 of the snow storms did not cause power outages.

So, the equation is

s -24% of s =57

s-0.24s=57

0.76s=57

s=57/0.76

s=75

Therefore, the number of snow storms were in the city in the five-year period is 75.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ5

Answer:

Part A none

Part B drawn

Step-by-step explanation:

Suppose the transversal intersects a pair of parallel lines it creates two pairs of alternate exterior angles.

Now if we look at the first figure we find that the alternate exterior angle 1 and 4 are equal . Also 3 and 2 are equal.

But <1 and < 2 are not equal . They are supplementary angles. Their sum is equal to 180 degrees.

Similarly angles 3 and4 are supplementary angles.

This situation does not support Ricky's claim. So you will select none in part A.

Now in part B we see that angle 5 &8 are equal and 6 & 7 are congruent.

This refutes Ricky's claims and this can be proved mathematically.

Angles 5 & 6 are supplementary angles. Similarly 7 & 8 are supplementary therefore they cannot be equal as they are unequal and a transversal is drawn not a perpendicular.

The part A none and for part B drawn.

Suppose the transversal intersects a pair of parallel lines it creates two pairs of alternate exterior angles.

Now if we look at the first figure we find that the alternate exterior angle 1 and 4 are equal . Also 3 and 2 are equal.

Two angles are called supplementary when their measures add up to 180 degrees.

But <1 and < 2 are not equal because they are supplementary angles. and the sum is equal to 180 degrees.

Similarly angles 3 and 4 are supplementary angles.

This situation is not support Ricky's claim so select none in part A.

Now for  part B we see that angle 5 &8 are equal and 6 & 7 are congruent.

This refutes Ricky's claims and this can be proved mathematically.

Angles 5 & 6 are supplementary angles. Similarly 7 & 8 are supplementary

Therefore they cannot be equal as they are unequal and a transversal is drawn not a perpendicular.

Therefore for the part A none and for part B drawn.

To learn more about the transversal visit:

https://brainly.com/question/24607467

Answer:

Step-by-step explanation:

1). 624 ÷ 2 = 312

2). 1823 ÷ 4 = 455.75

3). 503 ÷ 3 = 167.666 ≈ 167.67

4). 443 ÷ 3 = 147.666 ≈ 147.67

5). 4268 ÷ 2 = 2134

6) 6430 ÷ 4 = 1607.5

Answer:

Step-by-step explanation:

ANSWER: 16x+=92

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:3 gallons 0f water

Step-by-step explanation:

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 :)

Answer:

the required hcf is 2

okay

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:

55

Answer:

There is no question, can you type it?

Step-by-step explanation:

Answer:

x would be = to 13

Step-by-step explanation:

Answer:

Step-by-step explanation:

|9 + x| > 19

9 + x > 19       ∨       9 + x < -19

   x  > 10        ∨          x < -19

         x ∈ (-∞ , -19) ∪ (10 , ∞)

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:

10/3

3.3reaping

3 1/3

Step-by-step explanation:

Answer:

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

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