Danielle needs to walk three miles, if she wants to reach her destination in 45 minutes (3/4 hour), how fast does she need to walk?

[tex]\begin{array}{lcccl} &\stackrel{solution}{gallons}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{gallons of }}{pure~alcohol}\\ \cline{2-4}&\\ \textit{25\% solution}&x&0.25&0.25x\\ \textit{5\% solution}&y&0.05&0.05y\\ \cline{2-4}&\\ mixture&20&0.08&1.6 \end{array}~\hfill \begin{cases} ~\hfill x + y &= 20\\\\ 0.25x+0.05y&=1.6 \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{using the 1st equation}}{x+y=20\implies \underline{y = 20-x}} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{0.25x~~ + ~~0.05(\underline{20-x})~~ = ~~1.6}\implies 0.25x+1-0.05x=1.6 \\\\\\ 0.20x+1=1.6\implies 0.2x=0.6\implies x=\cfrac{0.6}{0.2}\implies \boxed{x=3}[/tex]

Answer:

$7.50

Step-by-step explanation:

the question can be represented with:
12.5/5 and x/3

12.5/5 is 2.5, so that means each bag of dog food is $2.5  
So then you multiply 2.5 by 3, = 1.20, so 3 bags of dog food is $7.50.

Answer:

Step-by-step explanation:

Remark

I take it you mean 5 and not 0.5.

If that is the case, this is a proportion question. A proportion consists of 4 parts. If you know 3 of the parts, you can solve for the 4th one.

Formula

Number of bags/Cost = new number of bags/Cost of the new number

Givens

original Number of bags  = 5

Cost = 12.50

New number of bags = 3 bags

Cost = x

Solution

5/12.50 = 3/x           Cross Multiply

5x = 12.50 * 3          Combine the right

5x = 37.5                  Divide by 5

5x/5 = 37.5/5

x = 7.5

Answer: 3 bags cost 7.50 dollars.

Answer:

[tex]41\frac{1}{8}[/tex]

Answer: About 800 thousand

The more accurate value is 807,528 but this is also an approximation.

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

Work Shown:

[tex]t = \text{number of years since the year 2000}[/tex]

[tex]P_0 = \text{population (in millions) in the year 2000}[/tex]

[tex]P = P_0(1.2)^t\\\\5 = P_0(1.2)^{10}\\\\5 \approx P_0*6.1917364224\\\\P_0 \approx \frac{5}{6.1917364224}\\\\P_0 \approx 0.80752791444922\\\\P_0 \approx 0.807528\\\\[/tex]

That's the rough population of wild pigs (in millions) for the year 2000.

Multiply by [tex]10^6[/tex] to get it in terms of units instead.

[tex]0.807528\times10^6 = 807,528[/tex]

There were roughly 800 thousand wild pigs in the year 2000.

Answer:

418 cm2

Step-by-step explanation:

Divide the figure into a square and a triangle. Find the area of each and add. Make sure you do not combine them, and do one at a time.

s2 = area of square

192 = 361 cm

BH= area of triangle

(6)(19) = 57 cm2

361 + 57 = 418 cm

Answer:

c= 418cm2

Step-by-step explanation:

good bye now human

The value of x from the given figure is 8

A triangle is a 2-dimensional shape with 3 sides an interior angle

Since the sum of the interior angles of a triangle is 180 degrees, hence;

8x - 4 + 76 + 44 = 180

8x + 116 = 180

8x = 180 - 116

8x = 64

x = 64/8

x = 8

Hence the value of x from the given figure is 8

Learn more on interior angle of a triangle here: https://brainly.com/question/8611232

Answer:

they are 3 1/10 units away from each other

Step-by-step explanation:

11 3/10 - 9 2/10

3 1/10

Answer:

The answer would be The answer would be 26 meters squared.

Step-by-step explanation:

1. Identify three rectangles
(The ones I identified were 5 by 2 [twice!] and 3 by 2)
2. Do 5x2 (10)
3. Do 5x2 again (10)
4. Do 3x2 (6)
5. Add 10, 10, and 6, to get 26
6. Label to get 26 meters squared. I hope this helps! :)

Answer:

  38.0 m/s

Step-by-step explanation:

Units conversion can be done by multiplying by appropriate conversion factors. Each conversion factor has a value of 1: the numerator is equal to the denominator, but the units are different. The units are chosen so that cancelling unwanted units gives the set of units you want.

__

  [tex]\dfrac{85\text{ mi}}{1\text{ h}}\times\dfrac{1.61\text{ km}}{1\text{ mi}}\times\dfrac{1000\text{ m}}{1\text{ km}}\times\dfrac{1\text{ h}}{3600\text{ s}}=\dfrac{85\cdot1.61\cdot1000\text{ m}}{3600\text{ s}}\\\\\approx\boxed{38.0\text{ m/s}}[/tex]

Answer:

A=1

4πd2=1

4·π·122≈113.09734

Step-by-step explanation:

Answer:

113.04 feet :)

Step-by-step explanation:

First we divide 12 by 2 to find the radius!

12/2 = 6

Now we can solve!!

3.14(6^2)

3.14(36)

113.04

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

Seventy-two million, six hundred and seven thousand games remaining

please mark brainliest

Answer:

72607000

Step-by-step explanation:

just subtract 5312 from 72612312

Distance is the product of speed and time. The rate at which the distance between the ships changes at 4:00 p.m is 27.293 km/h.

Distance is the product of speed and time. It is given by the function,

[tex]\rm Distance = Time \times speed[/tex]

Given at noon the distance between two ships is 170 km. Furter ship A is moving towards the east at a speed of 40 km/h, therefore, the distance covered by Ship A in 4 hours will be,

[tex]\rm \text{Distance covered by Ship A in 4 hours} = 4 \times 40 = 160\ km[/tex]

The distance covered by Ship B in 4 hours will be,

[tex]\rm \text{Distance covered by Ship B in 4 hours} = 4 \times 15= 60\ km[/tex]

At 4 pm the distance between the two ships is the hypotenuse of the red triangle as shown below,

[tex]\rm Hypotenuse = \sqrt{10^2 + 60^2} = \sqrt{100+3600 }= 60.827\ km[/tex]

The rate of change in the distance between the two ships can be written as,

[tex]\rm \text{Rate of change of distance} = \dfrac{170-60.827}{4} = 27.293\ km/h[/tex]

Hence, the rate at which the distance between the ships changes at 4:00 p.m is 27.293 km/h.

Learn more about Distance:

https://brainly.com/question/15100898

#SPJ1

Answer: this question search it up because i don't think and know if anyone knows this even i don't know so sorry

Step-by-step explanation:

Answer:

the answer to this question is 52.18

Answer:

7C

Step-by-step explanation:

The answers to the question are all attached given that they are all drawings. The subject here is shapes, lines, and angles.

A triangle around a point is a triangle that is constructed such that a point is equidistant from all the angles and all the sides that triangle. This point is thus referred to as the circumcenter of the triangle.

The triangle in the attached image is drawn around point D.

A Line segment is the part of a line with two endpoints. The box in the diagram is drawn between points A and B.

When you put a circle around an angle, you have circled that angle. This most case is used to highlight an angle.

Learn more about shapes at:
https://brainly.com/question/25965491

Answer:

i think c

Step-by-step explanation:

i hope this helped

Answer:

c

Step-by-step explanation:

Answer:

t = 7.46, 0.42

Explanation:

h = 126t - 16t²    [ "h" is height, "t" is time ]

when height is 50 feet

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

[tex]\sf use \ quadratic \ formula : x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ \ when \ ax^2 + bx + c = 0[/tex]

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

[tex]\Longrightarrow \sf t = \dfrac{-126\pm \sqrt{126^2-4\left(-16\right)\left(-50\right)}}{2\left(-16\right)}[/tex]

[tex]\Longrightarrow \sf t = \dfrac{63\pm\sqrt{3169}}{16}[/tex]

[tex]\Longrightarrow \sf t = 7.46, \ 0.42[/tex]

Let's find

Put h=50

Use quadratic formula

[tex]\\ \rm\Rrightarrow t=\dfrac{-126\pm\sqrt{126²-4(-16)(-50)}}{-32}[/tex]

[tex]\\ \rm\Rrightarrow t=7.5s,0.4s[/tex]

Answer:

4.5 or 4 1/2

Step-by-step explanation:

An easy way to do this problem is to divide 6 by 4, the denominator (1.5) then multiply it by the numerator, 3, which will now be 4.5.

Answer:

5.91

Step-by-step explanation:

35 is between the perfect squares 25 and 36.

√25 = 5

√36 = 6

     /            5         25       \

    |      d                       10   |

1  <              x          35         >    11

    |                                 1    |

     \            6          36       /

11/1 = 10/d

11d = 10

d = 0.909

√35 = 5 + d = 5.909

√35 = 5.91

Answer:

∠G=110°

Step-by-step explanation:

The 4 interior angles of a kite add up to 360. 100+40=140. 360-140=220. E and G are the only angles left so we know together they must equal 220. And ∠E and ∠G are congruent angles beceause of kite rules. So, we divide by 2 to get how much angle E and G are individually.

Answer:

A.) 21.95

B.)22.47

Step-by-step explanation:

A.) An easy way to solve this is to use the Pythagorean theorem. Since the only person between Cyrus and Jane is Adriana, we will use her as a measuring point. Adriana's distance to Jane is 19, we will set a = 19, Adriana also is 11 miles away from Cyrus, and we will set b = 11. Now we plug it into the Pythagorean theorem.

[tex]a^2+b^2=c^2\\19^2+11^2=c^2\\\sqrt{482} =\sqrt{c^2}\\ 21.95=c[/tex]

B.) Using the same principle but for Adriana and Madisyn, we will use Jane as she is between them. Adriana is 19 miles from Jane, so we will set a=19, Madisyn is also 12 miles from Jane, so we will set b=12. Plug it for the Pythagorean theorem.

[tex]a^2+b^2=c^2\\19^2+12^2=c^2\\505=c^2\\\sqrt{505}=\sqrt{c^2}\\ 22.47 = c[/tex]

The area of the circle formula --> [tex]\pi r^2[/tex]

            Length of radius is half of diameter which is 14km long

        [tex]Area = \pi r^2=\pi (7km)^2=(49\pi )km^2=153.86km^2[/tex]  

Hope that helps!

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's find the Area of given circle ~

Area of circle is :

[tex] \qquad \tt  \dashrightarrow \: \pi{r}^{2} [/tex]

where, r = radius

Now, let's calculate it ~

[tex] \qquad \tt  \dashrightarrow \: a = \pi{}^{}×(7)² [/tex]

[tex] \qquad \tt  \dashrightarrow \: a = 49\pi{}^{}km² [/tex]

That's the answer I terms of π, but we can also plug in the appropriate value of pi as 3.14

[tex] \qquad \tt  \dashrightarrow \: a=49\times 3.14{}^{} [/tex]

[tex] \qquad \tt  \dashrightarrow \: a= 153.86 \: \: km²[/tex]

[tex] \qquad \tt  \dashrightarrow \: area \approx 154\: \: km²[/tex]

Answer:

the answer is 56in2

Step-by-step explanation:

[tex]b = 14in \\ h = 8in \\ area \: of \: triangle = \frac{1}{2} b \times h \\ = \frac{1}{2} \times 14 \times 8 \\ = 56inches[/tex]