Ms Castillo took 40 minutes to drive from Town A to Town B at an average speed of 60 miles per hour. (a) Find the distance between A and B. (b) If she increased her speed by 12 mph, how long would she take to travel the same distance?​

Answers

Answer 1

Answer:

40 miles, 2000seconds or 33minutes and 20 seconds

Step-by-step explanation:

a. multiple time by miles/hour -> 40*60/60=40 so 40 miles

b. 60+12=72 so her new speed is 72mph. next, to find the time we need to divide distance by 1/mph -> 40* 1/(72/60)=40*60/72=100/3 which is 2000seconds or33minutes and 20 seconds


Related Questions

Use the conjugate to divide1 - i / square root of 3 + 4i

Answers

Answer:

Step-by-step explanation:

(1 - i) / (sqrt(3 + 4i)

= (1 - i) / [tex]\sqrt{3 + 4i}[/tex]

=> multiply and divide by conjugate of denominator

= [tex](1 - i) / \sqrt{3 + 4i} * \sqrt{3 - 4i} / \sqrt{4 - 3i}[/tex]

= [tex](1 - i)*(\sqrt{3 - 4i} ) / (\sqrt{3 + 4i} *\sqrt{3 - 4i})[/tex]

= [tex](1 - i) * (\sqrt{3 - 4i} ) / \sqrt{(9 - 16i^{2} )[/tex]

= [tex](1 - i) * (\sqrt{3 - 4i} ) / \sqrt{(9 - (-16) )[/tex]

= [tex](1 - i) * \sqrt{3 - 4i} ) / \sqrt{25}[/tex]

= [tex](1 - i) * \sqrt{3 - 4i} / 5[/tex]

= [tex]\sqrt{(1 - i)^{2} } * \sqrt{3 - 4i} / 5[/tex]

= [tex]\sqrt{(1 + -1 -2i)*(3 - 4i)} / 5 \\\sqrt{-2i * (3 - 4i)} / 5\\\sqrt{-6i + 8*-1} /5 \\\sqrt{-6i - 8 } / 5[/tex]

2 bags of cement cost 3500 how many bags can one buy with 17500​

Answers

Answer:

10

Step-by-step explanation:

2 → $3500

? → $17500

? = 17500 x 2 / 3500 = 3500/3500 = 10

OR

3500 → 2

3500/2 = 1750

17500/1750 = 10

Therefore, whatever method you use, you will get 10 as an answer.

3500 / 2 = 1750
17500 / 1750 = 10
10 bags

The length of a rectangle is five centimeters less than width. Find the dimensions of the
rectangle if its area is 50 cm?

Answers

Answer:

w is 10 and l is 5

Step-by-step explanation:

l=w-5

lw=50

w^2-5w-50=(w-10)(w+5) since the negative solution does not make sense w=10 and therefore l is 5 so the length is 5 while the width is 10

Pls help, will give brainleist

Answers

The answer is 5.
Because take x=1 entry to the graph and going vertical until you intercept the curve, then read the value on the y axial

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I'll help you with your problem today. I hope you are having a nice day!

The Function

First of all, to figure out the function and how it will work, with that, we can see that it is a parabola, a parabola is a function which looks like a curve in which the multiplication of the [tex]x[/tex] cation, when more smaller, is more wider.

Parabola's also have two ways they go, them being upwards and downwards which in the quadratic formula are figured out by the a catition.

[tex]ax^2+bx+c=0[/tex]

Solving

So, we know to find for [tex]f(1)[/tex] we have to find what is y when x is 1. To solve for that, we can look at the function's graph and see that when x is one, y is 5.

Solution

To solve for this, we can usually just look at the graph to see where the point where we need to find is, but, we also might have to graph the equation if the graph is not already given.

So our answer would be [tex]y=5[/tex] and/or [tex](1,5)[/tex]

Cheers!

Can anyone convert the following to an index expression:'
3=log6(216)

Answers

9514 1404 393

Answer:

  6 = ∛216

Step-by-step explanation:

The equivalent exponential form is ...

  6³ = 216

Then the index form is ...

  6 = ∛216

Find the number whose 1/3 part exceeds its 1/4 part by 12

Answers

Answer:1/5

Step-by-step explanation:

not entirle sure but yeah

Actually the answer is 7560.Because 3 1/2 X 2x4 X 4, 4 1/2 X x5 X 1=7560

Answers

Answer:

k

Step-by-step explanation:

A company spent $2415 on a plane ticket for seven employees all the tickets cost the same amount how much did each ticket cost

Answers

Answer:

$345

Step-by-step explanation:

2415 divided by 7 equals your total per ticket.

someone please help and show work​

Answers

Answer:

I already answered this for someone, but what you want to do is combine/cancel out like terms. So cancel out x on 2+7x/x to get 2+7/1. The first step in solving most rational equations is combining/canceling like terms, so follow through with that here.

guys i need help at least 1 question please

i will give brainliest​

Answers

Answer:

most of them would be 0

Step-by-step explanation:

Two parallel chords PQ and MN are 3 cm apart on the same side of a circle where PQ = 7 cm
and MN = 14 cm. Calculate the radius of the circle.

Answers

https://www.algebra.com/algebra/homework/Circles/Circles.faq.question.407869.html

GHOST FACE CULT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! help me

Answers

Answer:

it would be A

Step-by-step explanation:

because 4x-7=1

x=2

4(2)-7=1

8-7=1

I hope this helps you

7.4{5[2 +16 ÷ (4× 2) − 3]− 4}− 24 =

Answers

You will end up with-15 because you add all the in side first so the 4x2 until get get out of all of them

Someone help me please. I don't just want the answer, I need an explanation on how it's done too.​

Answers

Answer:

Below.

Step-by-step explanation:

f) (a + b)^3 - 4(a + b)^2  

The (a+ b)^2 can be taken out to give:

= (a + b)^2(a + b - 4)

= (a + b)(a + b)(a + b - 4).

g)  3x(x - y) - 6(-x + y)

=  3x( x - y) + 6(x - y)

= (3x + 6)(x - y)

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

h) (6a - 5b)(c - d) + (3a + 4b)(d - c)

=  (6a - 5b)(c - d) + (-3a - 4b)(c - d)

= -(c - d)(6a - 5b)(3a + 4b).

i)  -3d(-9a - 2b) + 2c (9a + 2b)

= 3d(9a + 2b) + 2c (9a + 2b)

=  3d(9a + 2b) + 2c (9a + 2b).

= (3d + 2c)(9a + 2b).

j)  a^2b^3(2a + 1) - 6ab^2(-1 - 2a)

=  a^2b^3(2a + 1) + 6ab^2(2a + 1)

= (2a + 1)( a^2b^3 + 6ab^2)

The GCF of a^2b^3 and  6ab^2 is ab^2, so we have:

(2a + 1)ab^2(ab + 6)

= ab^2(ab + 6)(2a + 1).

What is mode in math.

Answers

Answer:

the number that appears the most in a data set

Step-by-step explanation:

example

3,4,5,2,3,3,3,7,7

Mode:3

Lin is baking cakes. Each cake needs 34 cup of brown sugar, and Lin uses 412 cups of brown sugar for the entire batch of cakes. How many cakes does Lin bake?

Answers

Answer:

12

Step-by-step explanation:

412 ÷ 34 = 12.1176...

Round down to 12 cakes

If  Each cake needs 34 cup of brown sugar, and Lin uses 412 cups of brown sugar for the entire batch of cakes then Lin can bae 12 cakes.

What is Division?

A division is a process of splitting a specific amount into equal parts.

Given that Lin is baking cakes. Each cake needs 34 cup of brown suga

Lin uses 412 cups of brown sugar for the entire batch of cakes

We need to find the number of cakes Lin bake with 412 cups of brown sugar.

To find this we have to divide 412 by 34 cup.

412/34

Four hundred twelve by thirty four

12.111

Hence, if  Each cake needs 34 cup of brown sugar, and Lin uses 412 cups of brown sugar for the entire batch of cakes then Lin can bae 12 cakes.

To learn more on Division click:

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Please help very confusing

Answers

The value of x is 23 because BC and EF are equal

CAN SOMEONE HELP ME PLEASE ASAP!

Answers

Answer:

880 feet per hour.

Step-by-step explanation:

26 inches to foot = 2.2

9 seconds to hour =  0.0025

2.2/0.0025 = 880 feet per hour.

If you need any more help please let me know and i will make a video for you.

The system of equations y = -2x + 3 and y = x is graphed. What is the solution to the system of equations? ( graph above)

(0,0)

(1,1)

no solution

infinitely many solutions ​

Answers

the answer is y=1x because you have to use rise over run and the y intercept is 0.

Find the perimeter. Simplify your answer.

Answers

Answer:

10u-16

Step-by-step explanation:

Formula for perimeter of a rectangle is 2l+2w, where l and w represent length and width respectively. Applying this formula here, we get 2(5u-10)+2(2), which is a simple expression to simplify:

2(5u-10)+2(2) = 2(5u)-2(10)+2(2) = 10u-20+4 = 10u-16

Answer:

10u - 16

Step-by-step explanation:

Perimeter = 5u - 10 + 5u - 10 + 2 + 2

= 10u - 16...ans

Hope it Helps you!!

Find the measure of angle x in the figure.

Answers

Answer:

8

Step-by-step explanation:

We know that angles in a triangle add up to 180, so:

5x-60+2x+40+3x-80=180

Simplify

10x-100=180

Solve

Subtract 100 from both sides

10x=80

Divide 80 by 10 to find x

x=8

what are possible ratios for 16 to 32

Answers

Answer:

1:3

Step-by-step explanation:

To simplify the ratio 16:32, we find the greatest common divisor of 16 and 32, and then we divide 16 and 32 by the greatest common divisor.

The greatest common divisor that you can use to simplify 16:32 is 16. Which means the answer to ratio 16:32 simplified is: 1:2

Hope it helps

What would the weight of the Labrador be in kilograms?
A. 4 kilograms

B. 88 kilograms

C. 40 kilograms

D. 8 kilograms

WILL MARK BRAINLY NO BOTS

Answers

Answer:

A 4 kilo hopes this helps :)

Step-by-step explanation:

The circumference of a circle is increasing at a rate of pi over 2 m/h at a certain instant the circumference is 12 pi meters what is the rate of change of the area of the circle at that instant in square meters per hour

Answers

Answer: 3pi

Step-by-step explanation:

Guessed and it was right, sorry don’t have an explanation.

The rate of change of the area of the circle at that instant in square meters per hour will be 3π.

What is the rate of change?

The pace at which one quantity changes in relation to another is known as the rate of change function.

Given that the circumference of a circle is increasing at a rate of π / 2 m/h at a certain instant the circumference is 12 π meters.

The rate of change of circumference will be calculated as,

dc/dt = π/2

d (2πr)/ dt = π / 2

dr / dt = 1 / 4

The rate of change in the area,

A = πr²

dA / dt = ( 2πr )  dr / dt

dA/dt = 12π x ( 1 / 4)

dA/dt = 3π

Therefore, the rate of change of the area of the circle at that instant in square meters per hour will be 3π.

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Module 3 DBA: What key features can be identified from graphs of polynomials of higher-
degrees and explain how the key features can be used sketch the graph of the polynomial
function? Remember to include how solutions are represented.

Answers

to be honest i dont remember srry

Answer:

Polynomials are algebraic expressions that contain more than two terms. AN example would be: f(x) = x^3 + x^2 + x +1. This equation contains three terms, with the 3rd degree as its highest term. It also means that the graph passed three x-intercepts. This depends in the highest degree. So, the first thing you do is plot the intercepts because for sure, the graph will pass there.

Step-by-step explanation:

How can you write and evaluate numbers with exponents?

Answers

Answer:

an exponent is the small number written above and to the right of a number

on a keyboard it is written like (^) that

ex. If you were saying 2 to the power of 2, you would write it as 2^2

when you see that number, that number is telling you how many times you multiply that number by itself, ex. 2^2 is telling you to multiply 2 by itself

Step-by-step explanation:

Write the equation of the line in fully simplified slope-intercept form. Y intercept is -6

Answers

The answer would be y= 2/3x -6

Answer:

y = 2/3x-6

Step-by-step explanation:

up 2, right 3


What should a bank statement include

Answers

A bank statement is a list of all transactions for a bank account over a set period, usually monthly. The statement includes deposits, charges, withdrawals, as well as the beginning and ending balance for the period.

The top of a bank statement generally shows the name of the account holder along with sensitive information such as bank account number and branch number. It also contains a summary table that shows the time period, opening balance, deposits, withdrawals, and closing balance.

- BRAINLIEST answerer

What are the steps for solving -3/10 + 4/10

Answers

Answer:

1/10

Step-by-step explanation:

-3/10+4/10=4/10-3/10

                =1/10

a table is 60 cm in diameter. A tablecloth hangs 65cm all around. how much lace trim is needed to edge the cloth

Answers

The circumference of a circle is the total length of the boundary of the circle. So that the length of lace trim required is 597.1429 cm.

The diameter of the table is 60 cm, which has 65 cm tablecloth hanging on its sides. The diameter of the cloth required would be the length from one side to the other side. So that the total diameter of the tablecloth is:

= 60 cm + 2*65 cm

= 60 cm + 130 cm

= 190 cm

The diameter of the tablecloth required is 190 cm.

Thus to determine the circumference of the tablecloth, we have;

C = 2[tex]\pi[/tex]r

   = [tex]\pi[/tex]D

where D is the diameter of the tablecloth.

C = [tex]\frac{22}{7}[/tex] x 190

   = 597.1429

C = 597.1429 cm

Therefore, the length of lace trim required for the edge of the tablecloth is 597.1429 cm.

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