Stu hiked a trail at an average rate of 3 miles per hour. He ran back on the same trail at an average rate of 5 miles per hour. He traveled for a total of 3 hours.

Which equation can be used to find the time it took Stu to hike the trail?

3t = 5
3t = 5(3 – t)
3 + t = 5 + (3 – t)
3t + 5(3 – t) = 3

Answer:

a 60

Step-by-step explanation:

Answer:

The Answer Is 60 I Had This Test Already.

Step-by-step explanation:

Answer:

46 degrees

Step-by-step explanation:

Answer:

[tex]x = 46[/tex]

Step-by-step explanation:

First I identified that 2 of side lengths are the same, being 5. Then 88° is inbetween them, so I now know that both missing angles will be equal. This works with all triangles, if 2 sides equal the same then 2 angles will be equal.

So now we know a triangles angles always add up to be 180, so now we just subtract and divide.

[tex]180 - 88 = 92[/tex]

So now we know the sum of both missing angles so we can just divide the value in half because both angles are the same.

[tex]92 \div 2 = 46[/tex]

Now we know x=46°

Answer:

Step-by-step explanation:

1x - y = 1     ⇒     x - 1 = y

-3x + 4y = 12

-3x + 4(x - 1) = 12

-3x + 4x - 4 = 12

   x - 4 = 12

     x = 16   ⇒    16 - 1 = y     ⇒    y = 15

Therefore the system of the equations has exactly one solution at (16,15)

Answer:

D- There are infinite solutions

Step-by-step explanation:

-3x + 4y= 12 is the same as 1/4x -1/3y = 1.

1/4x multiplied by 12 is 3x

-1/3y multiplied by 12 is -4y

To flip the negatives you multiply by -1 to get -3x + 4y+ 12 on both equations

Answer:

Length = 15 and Width = 9

Step-by-step explanation:

5:3 = 135

make 5, 5x and 3, 3x so that would be 5x*3x = 135

when you times two x's that makes x²

making 15x² = 135

Divide 15 on both sides making 135 now 9

so x² = 9

with a squared x you used a square root

√9 = 3

so x is equal to 3

then put those into 5x, 5(3) and 3x, 3(3)

thus making 15 sq. ft and 9 sq. ft

Answer:

23/24

Step-by-step explanation:

I used my calculator, but find the greatest common factor which is 24 and convert and multiply to get 23/24.

Answer: Approximately 31 number keys.

Step-by-step explanation: Ratio is a comparison between two values.

Ratio for number keys to letter keys is [tex]\frac{3}{15}[/tex], which means each 3 group of number keys is equivalent to 15 letter keys.

The producer will need

[tex]\frac{3}{15} =\frac{x}{156}[/tex]

[tex]x=\frac{3.156}{15}[/tex]

x = 31

The manufacturer will need to be produced 31 keys.

Answer: The answer is 3

Step-by-step explanation:

Answer:

325

Step-by-step explanation:

195/3=65

5*65=325

Answer:

They need to sell 3 tees, and incurred $60.  

Step-by-step explanation:

What is the revenue equation? R = 20x, where x is the # of tees sold.

What is the cost equation? C = 5x + 45, where x is the # of tees sold.

Set those two equations equal, we get:

20x = 5x + 45, 15x = 45, x = 3.

3*5 + 45 = 60.

Answer:

a.  For the first lake;

c = (m·t - 0.005·m·t²)/100000

For the second tank, we have;

c = m·t/200 - m·t²/80000

b. t ≈ 1.00505 hours

c. 200 hours

Step-by-step explanation:

The flow rate of water in and out of the lakes = 500 liters/hour

The volume of water in the first lake = 100 thousand liters

The volume of water in the second lake = 200 thousand liters

The mass of toxic substances that entered into the first lake =  500 kg

The concentration of toxic substance in the first lake = m₁/(100000)

Therefore, we have;

The quantity of fresh water supplied at t hours = 500 × t

The change

The change in the mass of the toxic substance with time is given as follows

dm/dt = (m - m/100000 × 500 × t)/100000

c = (m·t - 0.005·m·t²)/100000

For the second tank, we have;

c = m/100000 × 500 × t - (m/100000 × 500 × t)/200000 × 500 × t

Using an online tool, we have;

c = m·t/200 - m·t²/80000

b. When c < 0.001 kg per liter, we have m < 0.001 × 100000, which gives m < 100

Substituting gives;

0.001 = (100·t - 0.005·100·t²)/100000, solving with an online tool, gives;

t ≈ 1.00505 hours

c. For maximum concentration, we have;

c = m·t/200 - m·t²/80000

m/200000 = m·t/200 - m·t²/80000

1/200000 = t/200 - t²/80000

dc/dt = d(t/200 - t²/80000)/dt = 0

Solving with an online tool gives t = 200 hours

Answer:

The first equation

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

75 percent *200 =

(75:100)*200 =

(75*200):100 =

15000:100 = 150

Now we have: 75 percent of 200 = 150

Question: What is 75 percent of 200?

Percentage solution with steps:

Step 1: Our output value is 200.

Step 2: We represent the unknown value with x.

Step 3: From step 1 above,200=100%

Step 4: Similarly, x=75%​.

Step 5: This results in a pair of simple equations:

$200=100%(1)​.

x=75%(2)​.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

200/x ​= 100% / 75%​​

Step 7: Again, the reciprocal of both sides gives

x/200 ​= 75/100​​

Therefore, 75% of 200​ is 150

Answer:

<ABD is 73 ...work below

Step-by-step explanation:

5x + 18 + 4x +5 = 122

9x + 23 = 122

9x = 99

x = 11

no since we got x...

5(11) + 18

73

Answer: 0.75 cups of flour to 1 cup of sugar.

Step-by-step explanation:

From the question, we are informed that a recipe calls for 3 cups of flour to 4 cups of sugar and told to calculate the unit rate.

It simply means what we need to calculate much of flour to one cup of sugar. This will be:

= 3/4 = 0.75

Therefore, the unit rate will be:

0.75 cups of flour to 1 cup of sugar.

Answer:

x+10

Step-by-step explanation:

sum = addition (+)

number = variable because we don't know what the number is yet (x)

ten=ten

So by this we can get x+10

Answer:

105 girls

Step-by-step explanation:

girls : boys

7 : 4

Let total number of people in art be (7 + 4)x.

4x = 60

x = 15

no. of girls = 7x = 7 x 15 = 105

This is a question on ratios and proportions. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:

y = √ x+12(square root of x+12)

Step-by-step explanation:

x = y^2 - 12

x+12 = y^2

y^2 = x+12

y = √ x+12

Answer:

Question 1. Find the inverse of the function y = x2 – 12.

B. y=+/- sqrt x+12 end sqrt

Question2. Find the inverse of the function y=2x2+2

D. y= +/- sqrt 1/2x-1 end sqrt

Answer:

Vertical

Step-by-step explanation:

They make a bow tie, so to speak.

Answer:

C

Step-by-step explanation:

given:

m= -2 and (3, -1)

point-slope form: y-y1= m(x-x1)

y - (-1) = -2(x-3)

y + 1 = -2(x-3)

Answer:

C.

Step-by-step explanation:

A.) y - 1 = -2(x - 3)

y - 1 = -2x + 6

y = -2x + 6 + 1

y = -2x + 7

B.) y - 1 = -2(x + 3)

y - 1 = -2x - 6

y = -2x - 6 + 1

y = -2x - 5

C.) y + 1 = -2(x - 3)

y + 1 = -2x + 6

y = -2x + 6 - 1

y = -2x + 5

D.) y + 1 = -2(x + 3)

y + 1 = -2x - 6

y = -2x - 6 - 1

y = -2x - 7

Answer (see photo below):

I hope this helps!

Answer:

Step-by-step explanation:

First, we find the formula. Since we have a slope and only one point we can use the Slope Form, which is "y - y1 = m(x - x1)". Now to find The Slope Intercept Form.

Formula = y - y1 = m(x - x1)

Slope = 3/4 or 0.75

Point = (2,-3)

y - y1 = m(x - x1)

y - (-3) = 3/4(x - 2)

y + 3 = 3/4x - 1.5

y = 3/4x - 1.5 - 3

y = 3/4x - 4.5

Graph is shown below.

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                         V

Answer:5

Step-by-step explanation:

Answer:

37.2 = 38

Step-by-step explanation:

After divideing 1265 by 34, you will get 37.2. As you cannot have books not in bookshelves, you will have to round up and have 38 bookshelves.

Answer:

$65

Step-by-step explanation:

Add 53 and 12 together to see how much it costed.

The two different quantities to measure which school has higher academic performance are:

The parameters which could be used to measure academic achievement are the graduation rate of each school he SAT average of each school.

Therefore, defining the quantity to measure academic achievement relative to budget per student could be expressed as the graduation rate divided by the budget per student. It can also be the SAT average divided by the Budget per student.

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Answer:

SAT average/budget per student and graduation rate/budget per student----No, the definitions have opposite results

Step-by-step explanation:

khan

Answer:

3

Step-by-step explanation:

3 times 4 equals 12

hope I got it right

Step-by-step explanation:

they would each get 4 pencils

Answer: n greater than or equal to 96 or n is greater than or less than 318

Step-by-step explanation:

Brainliest plz

Answer:

6kg pure copper and 30 kg 10% copper was mixed to give 36kg of 25% alloy

Step-by-step explanation:

Here, we want to produce 36 kg of 25% alloy

Let the Pure copper be x kg while 10% alloy be y kg

Pure copper is simply 100% copper

Thus;

x + y = 36 •••••(i)

Then;

100% of x + 10% of y = 25% of 36

= x + 0.1y = 9 •••••• ii)

From i x = 36-y

from ii, x = 9-0.1y

Equate both x

36-y = 9-0.1y

36-9 = 0.1y + y

0.9y = 27

y = 27/0.9

y = 30

x = 36-y

x = 36-30

x = 6 kg

Answer:

as the density of the plastic ball is greater than the density of the gasoline it sinks

Step-by-step explanation:

D = 15.8 / 19.7

D = 0.80 g / c ^ 3

0.8> (0.66-0.69)

The density of the plastic ball is greater than the density of gasoline, the ball would sink in a container of gasoline.

Given that a plastic ball with a volume of 19.7 cm³ has a mass of 15.8 g.

We need to check if the ball sink or float in a container of gasoline if the density of gasoline is 0.69 g/cm³.

To determine whether the plastic ball would sink or float in a container of gasoline, we need to compare the density of the ball with the density of gasoline.

Density is defined as the mass of an object divided by its volume. In this case, the density of the plastic ball can be calculated as:

Density of ball = Mass of ball / Volume of ball

Given that the mass of the ball is 15.8 g and the volume is 19.7 cm³, we can calculate the density of the ball:

Density of ball = 15.8 g / 19.7 cm³

Density of ball ≈ 0.8 g/cm³

Now, we can compare the density of the ball with the density of gasoline, which is stated to be between 0.66 g/cm³ and 0.69 g/cm³.

Since the density of the ball (0.8 g/cm³) is greater than the density range of gasoline (0.66-0.69 g/cm³), the ball would sink in a container of gasoline.

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Answer:

Step-by-step explanation:

Putting values in the equation

9z - 8w

9(8) - 8(3)

72 - 24

= 48

Answer:

9z-8w=48

Step-by-step explanation:

9x8-8x3

72-24=48

Answer:

Seems like someone answered them, because the red writing is right, but here's the answers with explanation

Step-by-step explanation: