A car traveled 187 miles in 4 hours and 16 minutes. What was the average speed of the car in miles per
hour?

Answer:

geyser =groundwater    

glacier = freshwater

lake=freshwater

ocean=salt water

Step-by-step explanation:

Answer:

Jenny's age = 8 yr

Sam's age = 17 yr

Step-by-step explanation:

Let x = Jenny's age now

then x + 9 = Sam's age now

x - 5 = Jenny's age 5 years ago

x + 9 - 5 = x + 4 = Sam's age 5 years ago

4(x - 5) = x + 4

4x - 20 = x + 4

3x = 24

x = 8 = Jenny's age now

x + 9 = 8 + 9 = 17 Sam's age now

Check:  5 yrs ago Jenny was 3 and Sam was 12

4(3) = 12, so the answer is correct.

Answer:

14

Step-by-step explanation:

A fully loaded truck weighs 10 3/5 tons

After unloading the truck weighed 3 2/3 tons

Therefore the weight of the load can be calculated as follows

= 10 3/5 - 3 2/3

= 53/5 - 11/3

= 265-55/15

= 210/15

= 14

Hence the weight of the load 14

Answer:

27

Step-by-step explanation:

3/5of 45 is basically what you are looking for and it in itself is the equation you have to solve

3/5 is 3 divided by  and "of" is basically multiply by 45

3/5*45

.6*45

27

Answer:

(A:

Step-by-step explanation:

EXAMPLE:

in Slope Intercept form, the letter x determines the slope of the line, where 0 makes the line horizontal and 1 makes the line at a 45 degree angle, in this case to go from x to x plus 1 you would climb y two times, so it takes two units to go one unit to the right, so x is multiplied by 2

the addition at the end of the formula resembles how high up or down the line crosses the y axis, if the number is positive, then the line crosses that amount higher then 0, if it were a negative number, it would cross that much lower

hope this makes sence, dont worry, once you understand how slope intercept form works, you will never forget it, good luck with ur studies :)

MEGA CREDITS to MisterZeng for double checking our work, thx m8 :D

Answer:

You multiply by 6 and the 5th term is 60

Step-by-step explanation:

15*4 = 60

Answer:

multiply by 4 & the unknown number is 60

Step-by-step explanation:

3×4=12

6×4=24

9×4=36

12×4=48

15×4=60

Answer:

56 legos in all

Step-by-step explanation:

35/5=7

7*3=21

21+35=56

Answer:

well i have legos in rl so i think the answer is C. or 56 legos in all

Step-by-step explanation:

Answer:

21.2863≈21.3 feet

Step-by-step explanation:

Answer:

21.3

Step-by-step explanation:

Answer:

6.651*10^9

Step-by-step explanation:

6.68*10^9-2.9*10^7

You can factor out 10^7 to get

(6.68*10^2-2.9)*10^7

(668-2.29)*10^7

665.71*10^7

Scientific notation would be 6.651*10^9

Answer:

let the ratio be in x

a/q. 3x + 2x = 300000

5x = 300000

x = 300000/5

x= 60000

Leona = 60000*3 = 180000

Janet = 60000*2 = 120000

hope it helps

Answer:

It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.

Step-by-step explanation:

Given - In 4 ​minutes, a conveyor belt moves 800 pounds of recyclable

            aluminum from the delivery truck to a storage area. A smaller belt

            moves the same quantity of cans the same distance in 6 minutes.

To find - If both belts are​ used, find how long it takes to move the cans

              to the storage area.

Proof -

Given that,

Larger belt take 4 minutes to transfer the aluminium from delivery truck to storage area.

⇒ Time taken by Larger belt = 4 min/ shifting

Also,

Smaller belt take 6 minutes to transfer the aluminium from delivery truck to storage area.

⇒ Time taken by Smaller belt = 6 min/ shifting

Now,

As we know that Time is inversely proportional to time, so

Rate of Larger Belt = [tex]\frac{1}{4}[/tex] shifting/min

Rate of Smaller Belt = [tex]\frac{1}{6}[/tex] shifting/min

Now,

Let us assume that , if both belts used then,

Total time taken = x min/shifting

Then, Rate = [tex]\frac{1}{x}[/tex] shifting/min

Now,

[tex]\frac{1}{4}[/tex]  + [tex]\frac{1}{6}[/tex]  = [tex]\frac{1}{x}[/tex]

⇒[tex]\frac{6 + 4}{24} = \frac{1}{x}[/tex]

⇒[tex]\frac{10}{24} = \frac{1}{x}[/tex]

⇒10x = 24

⇒x = [tex]\frac{24}{10}[/tex] = 2.4 minutes

∴ we get

It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.

Answer:

B

Step-by-step explanation:

Corresponding angles form a sideways U when you connect the angles.

b is the only one that does that.

1 and 4 are consecutive angles.

1 and 3 are vertical angles

4 and 3 are linear pair angles.

Answer: 47.5

Step-by-step explanation:

Answer:

PRESSURE: 1.08 kg/cm

VOLUME OF THE GAS: 47.5ML

THE PRODUCT OF P x V: 51.3

Step-by-step explanation:

RATE AND THANK IF IT HAS HELPED YOU!

Answer:

sin theta= p/h

here, 40√3/x=x sin 60

40√3/x=x √3/2

40/x= x/2

x^2=80

=√80=4√5

Answer: 23/4 is you answer!!

Step-by-step explanation:

Answer: 5 3/4

Step-by-step explanation: I put them in the same denominator to add them

Answer:

Pt=1285237.2855≈ 1285237

YOUR WELCOME :)

Answer:A cafe makes ten 8-ounce fruit smoothies. Each smoothie is made with 4 ounces of soy milk and 1.3 ounces of banana flavoring. the rest is blueberry juice. How much of each ingredient will be necessary to make the 10 smoothies?

Step-by-step explanation:

A cafe makes ten 8-ounce fruit smoothies. Each smoothie is made with 4 ounces of soy milk and 1.3 ounces of banana flavoring. the rest is blueberry juice. How much of each ingredient will be necessary to make the 10 smoothies?

Answer:

A cafe makes ten 8-ounce fruit smoothies. Each smoothie is made with 4 ounces of soy milk and 1.3 ounces of banana flavoring. the rest is blueberry juice. How much of each ingredient will be necessary to make the 10 smoothies?

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

5x - 2 + x = 9 + 3x + 10

5x + x - 2 = 9 + 10 + 3x

5x + x - 3x - 2 = 9 + 10 + 3x - 3x (substracted 3x from both sides)

3x - 2 = 19

3x = 19 + 2

3x = 21

x = 21 : 3

x = 7

Answer:

90°

Step-by-step explanation:

40+50+x=180

x=90

Answer:

1) 225

2) 2304

Step-by-step explanation:

1)

Use geometric mean of legs

[tex]x = \sqrt{(16+9)^2 * 9^2} = \sqrt{25^2 * 9^2} = 25 * 9 = 225[/tex]

2)

Use geometric mean of altitude

[tex]x = \sqrt{(100-36)^2 * 36^2} = \sqrt{64^2 * 36^2} = 64 * 36 = 2304[/tex]

Answer:

(7, 2).

Step-by-step explanation:

The median from A intersects BC at it's midpoint.

To find the midpoint of BC:

This is (x1, y1) where x1 = (sum of the x_values of B and C) / 2)  and where y1

= (sum of the y_values of B and C) / 2)

This is (2+12)/2,  (1 + 3)/2

= (7, 2).

Answer:

oc)0.83

Step-by-step explanation:

have a good day!!!

Answer (assuming it can be in slope-intercept format):

[tex]y = -\frac{3}{5} x+7[/tex]  

Step-by-step explanation:

When knowing the y-intercept of a line and its slope, we can write an equation representing it in slope-intercept form, or [tex]y = mx + b[/tex].

1) First, find the slope of the equation. Use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex], to find the slope. Substitute the x and y values of the given points into the formula and simplify:

[tex]m = \frac{(4)-(7)}{(5)-(0)} \\m = \frac{4-7}{5-0} \\m = \frac{-3}{5}[/tex]

Thus, the slope is [tex]-\frac{3}{5}[/tex].

2) Usually, we would have to use one of the given points and the slope to put the equation in point-slope form. However, notice that the point (0,7) has an x-value of 0. All points on the y-axis have an x-value of 0, thus (0,7) must be the y-intercept of the line. Now that we know the slope of the line and its y-intercept, we can already write the equation in slope-intercept format, represented by the equation  [tex]y = mx + b[/tex]. Substitute [tex]m[/tex] and [tex]b[/tex] for real values.

Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{3}{5}[/tex]  in its place in the equation. Since [tex]b[/tex] represents the y-intercept, substitute 7 in its place. This gives the following equation and answer:

[tex]y = -\frac{3}{5} x+7[/tex]

Answer:

300%

Step-by-step explanation:

Given

[tex]y\ \alpha\ \frac{1}{x^2}[/tex]

Required

Find the percentage change in y when x decreased by 50%

First, convert to equation

[tex]y\ = \ \frac{k}{x^2}[/tex]

Where k is the constant of proportionality

When x decreased by 50%

[tex]Y = \frac{k}{(x - 0.5x)^2}[/tex]

[tex]Y = \frac{k}{(0.5x)^2}[/tex]

[tex]Y = \frac{k}{0.25x^2}[/tex]

Expand

[tex]Y = \frac{1}{0.25} * \frac{k}{x^2}[/tex]

Substitute [tex]\frac{k}{x^2}[/tex] for y

[tex]Y = \frac{1}{0.25} * y[/tex]

[tex]Y = 4 * y[/tex]

[tex]Y = 4 y[/tex]

The percentage change is then calculated as:

[tex]\%Change = \frac{Y - y}{y} * 100\%[/tex]

[tex]\%Change = \frac{4y - y}{y} * 100\%[/tex]

[tex]\%Change = \frac{3y}{y} * 100\%[/tex]

[tex]\%Change = 3 * 100\%[/tex]

[tex]\%Change = 300\%[/tex]

The percentage in y is 300%

From the calculation, the percentage change in y is 300%.

From the statement of the question; y α 1/x^2 so introducing the constant of proportionality, we have; y =k/x^2 so k = x^2y.

We are then told that x is decreased by 50% hence;

Y = k/(x - 0.25x)^2

Y = k/(0.5x)^2

Y = 1/0.25 k/x^2

But k/x^2 = y so;

Y = 1/0.25 y

Y = 4y

Change = 4y -y/y * 100/1

= 300%

Learn more about percentage change: https://brainly.com/question/15308590

Set up 2 equations:

Kyle: 5h + 3f = 14.50

Myles: 4h + 2f = 11.00

Lets get the two h's to cancel out.

Multiply Kyle by 4 and Myles by -5:

Kyle: 20h + 12f = 58

Myles: -20h - 10f = -55

Now add the two equations together:

2f = 3

Divide both sides by 2:

f = 3/2

f = 1.50

1 french fry cost $1.50

Now solve for the price of a hot dog:

5h + 3(1.50) = 14.50

5h + 4.50 = 14.50

Subtract 4.50 from both sides:

5h = 10.00

Divide both sides by 5:

h = 2

One hot dog cost $2.00

Answer:

Step-by-step explanation:

3r+4+8r-2 = 90

11r +2 = 90

11r= 88

Answer: 0.49 mi

Step-by-step explanation:

First find the half circumference of the circular pond as this will show the total distance your friend has to walk:

= (π * diameter) / 2

= (22/7 * 0.85) / 2

= 1.34 mi

Your friend is going to walk 1.34 and you will walk 0.85.

Difference is:

= 1.34 - 0.85

= 0.49 mi

Answer:

yes

Step-by-step explanation:

Hey There!

So if you didn't know in order for it to be a function none of the x values can repeat

In the given relation none of the x values repeat, or each input has a different output therefore it is a function