Donna travels 70 miles at an average speed of 40 mph. she then travels a further 30 miles. the average speed for the entire journey is 44 mph. assuming donna didn't stop, what was her average speed for the final 30 miles to 2 dp?

Answers

Answer 1

If donna didn't stop, her average speed for the final 30 miles to 2 dp is; 57.39 mph

How to Calculate Average Speed?

We are given;

Distance travelled by Donna = 70 miles

Average Speed of Donna = 40 mph

Additional Distance travelled = 30 miles

Average speed for entire journey = 44 mph

We know that;

time = distance/speed

Thus

Total time = (70 + 30)/44

Total time = 100/44 h

Time 1 = 70/40 = 7/4 hr

Time 2 = 30/v

Thus;

30/v + 7/4 = 100/44

Multiply through by 44 to get;

1320/v = 100 - 77

v = 1320/23

v = 57.39 mph

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Related Questions

what is 4915 multiplied by 345

Answers

Answer:

1,695,675

Step-by-step explanation:

Me using the calculator <3

Whoever answers first ill mark brainlist

Answers

Answer:

∠S = 19°

Step-by-step explanation:

Since all angles in a triangle add up to 180°, we must first find how much is left.

180 - 142 = 38

And since we know that the two lines are congruent, we know that the two other angles will be the same. So we divide the remaining by 2

38 ÷ 2 = 19

So both other angles are 19° meaning that ∠S is 19°

Hope this was helpful!

Answer: m∠S = 19°

Step-by-step explanation:

    We know the angles of a triangle add up to 180° (and if you don't, you do now)

-> We are given one angle, 142°

-> We are given the fact this is an isosceles triangle, or one with two congruent sides

    [] This means the other two angles are congruent

-> Taking this information, we will set up an equation to solve for x

180° = 142° + 2x°

38° = 2x

19° = x

x = 19°

x = m∠S, so m∠S = 19°

          m∠S = 19°

2/11 as a decimal rounded to 3 places

Answers

Answer:

0.182

Step-by-step explanation:

2 / 11 = 0.181818...repeating

0.1818 round up since the 4th number 8 > 5

Answer:

0.182

Step-by-step explanation:

:)

You are taking a typing class and can now type 30 words per minute. a. Set up a proportion to solve for the amount of time it would take you to type 400 words. b. Solve the proportion in part (a). c. Set up a proportion to solve for the number of words you could type in 10 minutes. d. Solve the proportion in part (c).

Whoever answers I’ll give brainliest

Answers

Answer:

hi,as u promise,lets go!!

a)1min=30w

x=400w

b)1min=30w

x=400w

1min×400w=x×30w

400w min=x×30w

30w 30w

x= 13mins and 3 sec.

c)1min=30w

10 min=x.

d)1min=30w

10min=x

1min×x=10min×30w

1min ×x = 300wm

1min 1min

x=300words.

THANKS ,HOPE IT HELPS!!BRAINLIEST

Answer:

a.) 1:30 :: x:400

b.) About 13 minutes and 35 seconds

c.) 1:30 :: 10:x

d.) 300 words

Step-by-step explanation:

a.) 1 = minute 30 = words typed in that minute 400=words typed x=minutes

b.) 400 / 30 = 13.3

c.) 1 = minute 30 = words typed in that minute x=words typed 10=minutes

d.) 10 x 30 = 300

Find the area of this circle. Use 3 for pi

Answers

Answer:

243 in²

Step-by-step explanation:

Diameter = 18 in

Radius ( r ) = Diameter / 2 = 18 / 2

r = 9 in

π = 3

To find : Area of circle ( A )

Formula : -

A = πr²

A = 3 x 9²

   = 3 x 9 x 9

A = 243 in²

In 2000 the population of country a reached 4 million, and in 2025-is projected to be 7.5 million.
(a) find values for po and a so that the following formula models the population of country a in year x.
f(x)=poa*-2000
(b) estimate the country's population in 2010 to the nearest hundredth of a million.
(c) use f to determine the year during which the country's population might reach 10 million.
(a) find values for po and a.
po= million
(round to the nearest hundredth as needed.)
a=
(round to five decimal places as needed.)

Answers

Answer:

the answer is 2000 so yea

geometric mean of 25 and 35

Answers

Answer:

sooo i  think, it  is

Step-by-step explanation:    it screen shot cause i worked it out on my computer !


What is the volume of this aquarium?

Answers

Answer:

9000 in³

Step-by-step explanation:

Small cube:

Volume = length x width x height

= 10 x 10 x 10 = 1000 in³

Big cube:

width (front) = 20

length (side) = 10 + 10 = 20

height (back) = 10 + 10 = 20

V = 20 x 20 x 20 = 8000 in³

Total volume: 1000 + 8000 = 9000 in³

9000 in3 is the answer



welve books cost $59.88 and
books cost $104.79. Is there is a constant of proportionality between these purchases?
plain.

Answers

Answer:

There is a constant of proportionality between the two purchases and each book costs $4.99.

Step-by-step explanation:

A correspondence relation between two variables is of direct proportionality when the quotient between the corresponding quantities is always the same. This quotient is called the constant of proportionality.

In other words, when dividing any quantity of one of the magnitudes by the one that corresponds to it in the other, the value it gives is always the same. This value is known as the constant of proportionality.

In this case, the constant of proportionality [tex]k[/tex] will relate the number of books bought [tex]N[/tex] and their cost [tex]C[/tex] in the following way:

[tex]C=k*N[/tex]

So k is the price per book.

For the 12 books:

[tex]k=\frac{59.88}{12}[/tex]

[tex]k=4.99[/tex]

And for the 21 books:

[tex]k=\frac{104.79}{21}[/tex]

[tex]k=4.99[/tex]

The constant [tex]k[/tex] for the two purchases is the same, thus there is a constant of proportionality between the two purchases and each book costs $4.99.

20 points help please

Answers

The second question is proportional; that is, y is 4/5 times x

If you multiply each value of x by 4/5, you should get the corresponding y.

#19. find the perimeter and the area of the figure

Answers

Answer:

Perimeter = 56 m

Area = __ m^2

Step-by-step explanation:

Perimeter = ___ m

Area = __ m^2

To find Perimeter, you have to add up all the sides of the shape,

5 + 5 + 5 + 11 + 7 + 7 + 16

= 56 m

Perimeter = 56 m

To find area, you have to multiply length times width,

5 × 5 = 25

7 × 16 = 112

112 + 25 = 137

Area = 137 m^2

Therefore the perimeter of this shape is 56 m and the area of this shape is 137m^2.

Solve using substitution

Answers

Answer:

The answer should be "No Solution" as these lines never meet each other

: Find the area of the shaded region for these two questions. Remember this
Area of shaded region= total area - area of unshaded region.

^explain

Answers

Answer:

c) 18 cm²

d) 30 cm²

Step-by-step explanation:

c)

You can do this 2 different ways. Either way, you need to use the bottom side of 8 cm and the two congruent segments. Each of the two congruent segments of the bottom side measures 4 cm.

Method 1) Find the area of the large triangle and subtract from it the area of the small triangle.

area of triangle = bh/2

shaded area = 8 cm × 6 cm / 2 - 4 cm × 3 cm / 2

shaded area = 24 cm² - 6 cm²

shaded area = 18 cm²

Method 2) The shaded region is a trapezoid with parallel bases of lengths 3 cm and 6 cm and height 4 cm. Find the area of the trapezoid.

area of trapezoid = (B + b)h/2

shaded area = (6 cm + 3 cm)(4 cm)/2

shaded area = (9 cm)(4 cm)/2

shaded area = 18 cm²

d)

The area of the shaded region is the area of the white triangle subtracted from the area of the rectangle.

area of rectangle = length × width

area of triangle = bh/2

shaded area = (12 cm)(4 cm) - (9 cm)(4 cm)/2

shaded area = 48 cm² - 18 cm²

shaded area = 30 cm²

Find the values of x for which the function is continuous.
f(x) =

−3x + 7 if x < 0
x^2 + 7 if x ≥ 0

a.x ≠ 0

b.x ≥ 0


c.x ≥ root square 7
d.all real numbers

e.x ≠ 7

Answers

It looks like the given function is

[tex]f(x) = \begin{cases}-3x + 7 & \text{if }x < 0 \\ x^2+7 & \text{if }x \ge0\end{cases}[/tex]

The two pieces of f(x) are continuous since they are polynomials, so we only need to worry about the point at which they meet, x = 0. f(x) is continuous there if

[tex]\displaystyle \lim_{x\to0^-} f(x) = \lim_{x\to0^+} f(x) = f(0) = 7[/tex]

To the left of x = 0, we have x < 0, so f(x) = -3x + 7 :

[tex]\displaystyle \lim_{x\to0^-} f(x) = \lim_{x\to0} (-3x + 7) = 7[/tex]

To the right of x = 0, we have x > 0 and f(x) = x² + 7 :

[tex]\displaystyle \lim_{x\to0^+} f(x) = \lim_{x\to0} (x^2 + 7) = 7[/tex]

So f(x) is continuous at x = 0, and hence continuous for all real numbers.

Match y = 3x – 1 with its graph

Answers

I think it’s graph 3.

x: y = 1:5 Which is the correct equation? A y = 5x By= C y=x-4 D y=x+4
I'm leaning towards A but don't want totake the risk with a hour detention on the line if I get it wrong ​

Answers

The answer should be A. For example, if x = 1, and the ratio between x and y is y is 5 times greater than x, then y would equal 5, which is only true in A.

Or, use the number 5 as an example. If x = 5, and the ratio between x and y is y is 5 times greater than x, then y is 5.

And if you put that into A, y = 5x, it becomes 25 = 5(5)
Then 25 = 25, which is true!

Work out m and c for the line: 5 x − 3 y + 4 = 0

Answers

Step-by-step explanation:

5x - 3y + 4 = 0

we rearrange it to look like this:

y = mx + c

3y = -4 - 5x

we can also write it like this so it rhymes with the formula

3y = -5x - 4

y = -5x - 4 / 3 (the division sign is dividing all the numbers and not only 4 ).

Soo..

y = -5x/3 -4/3

y = mx. + c

so

m = -5/3

c = -4/3.

Hope this helps.

Good luck ✅.

[tex]\rule{200}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

        Work out m and c for the line 5x-3y+4=0.

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

We can't determine the slope (m) and the y-intercept (c) yet, so we need

to convert this equation into slope-intercept form [tex]\bold{y=mx+c}[/tex].

[tex]\dagger[/tex] First, subtract 5x and 4 on both sides:-

-3y=-5x-4

[tex]\dagger[/tex] Next, divide by -3 on both sides:-

y=5/3x+4/3

[tex]\bigstar[/tex] A negative divided by a negative is a positive.

[tex]\dagger\dagger[/tex] Now finding the slope is a piece of cake; it's just the number next to x:-

5/3 = slope (m)

And the y-intercept is:-

4/3 = y-intercept (c)

Good luck with your studies.

[tex]\rule{300}{1}[/tex]

1. Kedir bought 18 pieces of glasses out of a box of glasses. If these are 75% of the total, how many glasses did the box contain?

Answers

Answer:

24 pieces of glass

Step-by-step explanation:

Hi can someone help me with my math homework thankyouu

Answers

Answer:

Move the decimal point in 70.91 three places to the right

 so that it becomes 70910.

Daisy estimated a certain expression to have a value of 300. Which of these
expressions could be the one Daisy estimated?
Select the two that apply.
A. 10x2
B. 30x2
C. 100x
D. 300
E. (5x)?

Answers

Answer:

C and D

Step-by-step explanation:

C). With the X right by the 100 means that it could be anything there, so you would put a 3 at the end so then 100 x 3 = 300.
D). The value is already 300 so no need to do work there.

Using Multiplication, 100 × 3 is this expressions could be the one daisy estimated.

What is multiplication?

Multiplication is an "operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers".

According to the question.

Daisy estimated a certain expression to have a value is 300 using Multiplication we have,

100 × x =300

x = 300/100

x = 3.

Hence, 100 × 3 is this expressions could be the one daisy estimated using Multiplication.

Learn more about  Multiplication here

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Can someone help me with this question?

Answers

Answer:

5 possible outcomes

1. All 4 are heads,

2. All 4 are tails,

3. 3 are heads and 1 tails,

4. 2 are heads and 2 are tails,

5. 1 is tails and three are heads.

Step-by-step explanation:

On one side of a coin it’s heads, and on the other it’s tails.


there are 4 coins

(Coin side, coin side, coin side, coin side)

Possibilities;


(Heads, heads, heads, heads)

all four coins are heads

(Heads, tails, heads, heads)
three coins are heads and one tails

(Heads, tails, tails, heads)
two coins are heads, two coins are tails

(Heads, tails, tails, tails)

one coin is heads, the other three are tails

(Tails, tails, tails, tails)

all four coins are tails.

5 possible outcomes

Donna earns $1,404 per week at her job. However, 19% of her income gets taken out in taxes, and 12% of her income gets taken out and put into her retirement account.

Answers

Answer:

Step-by-step explanation:

A reasonable estimate of the amount Donna is left with each week after the money is deducted: $980. 1404*.19=266.76 ; 1404*.12=168.48 ; 1404-266.76-168.48=968.76 or estimated as $980.

graph the line y = -2x - 2

Answers

Answer:

-2x-2

For a line equation for the form of y = mx +b, the slope is m

m= -2

The function has no undefined points nor domain

constraints. There fore, the domain is

domain: -∞<x<∞

The range of polynomial with odd degrees is all the real numbers

range: -∞<f(x)<∞

Step-by-step explanation:

graph is inserted

if a area of a rectangle is 45...
set up an equation that must be true:
w = x
L = x-4

Answers

Answer: x times (x-4)=45

Step-by-step explanation:

First since the area is 45 that’s what the equation has to be equal to.
To find the area you always have to do length times width. So the width (x) times the length (x-4) equals 45.

factor the quadratic trinomial x^2-8x+18
(x+ )(x+ )​

Answers

Answer:

This is prime.

No factors.

Step-by-step explanation:

Please help asap
trevon is helping his sister study for her geometry test while staying at a hotel.

how can trevon use the hotel's third floor, sixth floor, and the elevator to illustrate the concepts of parallel and perpendicular?
a.
the hotel floors are perpendicular to each other, and the elevator moves in a path that is parallel to them both.
b.
the hotel floors are perpendicular to each other, and the elevator moves in a path that is perpendicular to them both.
c.
the hotel floors are parallel to each other, and the elevator moves in a path that is perpendicular to them both.
d.
the hotel floors are parallel to each other, and the elevator moves in a path that is parallel to them both.

Answers

She should fart 10 times

I tried my best!!!! Hope this helps :D

Suppose you have 18 more quarters than dimes. You have a total of $8.00. How many of each coin do you have? Use the substitution method to answer the question.

Answers

Answer:

18 quarters = $4.50

8.00-4.50=3.50

10 dimes+10 quarters=$3.50

Answer= you have 10 dimes and 28 quarters

Step-by-step explanation:

Answer:

You would have 18 quarters and 35 dimes

Step-by-step explanation:

Kenzie is looking for a __ job. She would most likely be paid __

Answers

Answer:

Kenzie looking for a job that has benefits. She'd like to work in one place and not have to search for a new job anytime soon. Kenzie is looking for a Full-time job. She would most likely be paid an hourly wage, by the project.

Step-by-step explanation:

Find the surface area of the cone in terms of pie
23 cm
14 cm

Answers

Answer:

550 sq. cm

Step-by-step explanation:

Attached above (answer):-

solve this using pythagorean theorem please and give me the right answer and i will give YOU brainliest and a like in return.

Answers

Answer:

6.8 miles

Step-by-step explanation:

a^2+b^2=c^2

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