Nate walks 11 miles in 4 hours. At what unit rate does Nate walk?
A.
4 hours
11 miles
B.
4 miles
11 hours
C.
11/4 miles
1 hour
D.
11 miles
4 hours

Answer:

Speed on country road

X= 46.777miles per hour

Step-by-step explanation:

Total time for travel is 9 hours.

390 miles on interstate

150 miles on country road.

Let country road speed = x

Interstate speed=y

But

X + 15m/h = y

Time on interstate= 390/y

Time on country = 150/x

But y = x+15

Interstate = 390/(x+15)

Country= 150/x

Adding the two will give us 9 hours

390/(x+15) + 150/x = 9

9x²-405x-750= 0

Solving quadratically

X= 46.777miles per hour

Y = 46.777+15= 61.777 miles per hour

Answer:

28

Step-by-step explanation:

52 in toatal had a drink

10 had a drink and a sandwich

5 had drink and soup

9 had all

so in total out of the 52 drinks, 24 had a drink and something

52 - 24 = 28

Explanation is in the file

tinyurl.com/wpazsebu

Answer:

-5ab + 5a - 3

Step-by-step explanation:

Answer:

90 degree rotation

Step-by-step explanation:

The rigid motion of the solid line figure is translated to the dotted line figure.

Translation describe a function that moves an object a certain distance.

In a translation, every point of the object must be moved in the same direction and for the same distance.

In translation, the object is not resized, rotated or reflected. The object usually remains the same but it moves a certain distance.

Therefore, the rigid motion maps the solid-line figure onto the dotted-line figure by translation

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Answer:

f^-1(x) = (x² + 21)/7

Step-by-step explanation:

Since f(x) = y = √(7x – 21), to find the inverse of f(x) we have to write x in terms of y in order to make x the dependent variable and y the independent variable. The steps involved are:

Step 1: square both sides of the equation, y = √(7x – 21). Doing that, we have:

y² = 7x – 21

Step 2: Add 21 to both sides of the resulting equation. Doing that, we have:

y² + 21 = 7x

Step 3: Divide both sides of the equation by 7. Doing that we have:

x = (y² + 21)/7

Step 4: Replace x with f^-1(x) and y with x. Doing that, we have:

f^-1(x) = (x² + 21)/7

Answer:look at explanation

Step-by-step explanation:

Answer:5

Step-by-step explanation:

5098

Answer:

(23/18)π radians

Step-by-step explanation:

180º = π radians

230º * (π/180)

(23/18)π radians

Answer:

O=4.0rad

Step-by-step explanation:

230° to radians

(pie/180°)*230

23pi/18

4.0 rad

Answer:

no, all of the parts aren't even.

Step-by-step explanation:

the parts must be even to make a fraction so it could also be said as out of 8 equal  parts, 3 are shaded but the parts arent equal so you can't.

Hope this helps! :)

When 3 among four numbers are 42,52,52 and their median is 48 then  the fourth number is 45.

What is Median?

Median is the middle number when the given numbers are arranged in ascending or descending order, basically it divides the data into two halves the one is higher half  another is lower half of the data.

For even numbers of data we find median by first  arranging the data in ascending order then we take average of the two middle terms.

Given that among 4 numbers three are 42,51,52

Assume that the fourth no be x  and also Assume that it is among the middle two numbers as median is given 48 to find this number?

Then the data arranged in ascending order is

42,x,51,51

Median=

\(\frac{x+51}{2} =48\\x+51=96\\x= 45\)

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Answer:

- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries

Line AB is parallel to CD, for instance, as indicated by the formula AB ll CD.

How do parallel lines work?

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Answer:

all 3 are correct.

I

II

III

you're welcome

Answer:

m ≤ 5

Step-by-step explanation:

I will begin by assuming m to be the number.

Then, the sum of m and 3 is: m + 3.

The symbol for "less than or equal to" is ≤.

So we form an inequality, like this :

m + 3 ≤ 8

To find m subtract 3 on each side:

m ≤ 5

Therefore, m ≤ 5.

Answer:

60 slices

Step-by-step explanation:

1 pizza = 10 slices

6 pizzas = 10 slices * 6 = 60 slices

Answer: x=6/5

Step-by-step explanation:

Answer:

6/5

Step-by-step explanation:

Answer:

P(A) = 0.57 (rounded to two decimal places).

Step-by-step explanation:

The probability of selecting a red marble from the hat can be found by dividing the number of red marbles by the total number of marbles:

P(red) = number of red marbles / total number of marbles

P(red) = 20/35

We can simplify this fraction by dividing both the numerator and denominator by 5:

P(red) = 4/7

So the probability of selecting a red marble from the hat is 4/7, or approximately 0.57 when rounded to two decimal places.

Therefore, P(A) = 0.57 (rounded to two decimal places).

x = 3

\(3^{3} =\) 3 x 3 x 3 = 27

9x = 9 x 3 = 27

You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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Answer:

Answer B.

Because we know He's checking the experiment every 5 minutes.

Answer: Becuase of the communitive property

Step-by-step explanation:

For example say you have 5 + 6

5 + 6 = 11

6 + 5 =11

no matter how you flip it, it's always the same

Answer: ________________________________________________

f(x) = -1/2x

Answer:

Step-by-step explanation:

slope = y2-y1/x2-x1

-2-1/4-(-2)=-3/6=-1/2 or -0.5

Answer:2.

Step-by-step explanation:

trust me on this one

Answer:

253°

Step-by-step explanation:

The central angle whose rays intercept a diameter of the circle has measure 180 deg.

m<AOD = 73 deg

m<DOB = 180 deg

m<ADB = m<AOD +m<DOB = 73 deg + 180 deg = 253 deg

The measure of an arc of a circle is equal to the measure of the central angle that subtends it.

m(arc)AOD = m<AOD = 253 deg

Answer: 253°

The solution is, the measure of Arc A D B is 253°.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

Here, we have,

given that AC and BD are diameters of circle O.

AC and BD intersect at point C the centre of the circle.

The central angle of a circle is the angle based at the circle's center. In other words, the vertex of the angle must be at the center of the circle. A central angle is formed by two radii that start at the center and intersect the circle itself.

The central angle whose rays intercept a diameter of the circle has measure 180 deg.

m<AOD = 73 deg

m<DOB = 180 deg

m<ADB = m<AOD +m<DOB = 73 deg + 180 deg = 253 deg

The measure of an arc of a circle is equal to the measure of the central angle that subtends it.

m(arc)AOD = m<AOD = 253 deg

Answer: the measure of Arc A D B is 253°.

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