Joseph needs to drive 42 miles. They were going to drive at a certain average speed, but if they drive 10 mph faster, the trip will take 6 minutes (1/10 of an hour) less time. How fast were they going to drive? Write out the equation(s) ​

Answers

Answer 1

Answer:

The speed is 60 mph.

Step-by-step explanation:

distance = 42 miles

Let he drove with speed v and time is t.

distance = speed x time

42 = v t ..... (1)

42 = (v + 10)(t - 1/10) ..... (2)

[tex]42 = 42 -\frac{v}{10}+ 10 t - 1\\\\t =\frac{10+v}{100}\\\\Put in (1)\\\\42 = \frac{v(10+v)}{100}\\\\v^2 + 10 v - 4200 = 0 \\\\v = \frac{-10\pm \sqrt{100+4\times 4200}}{2}\\\\v =\frac{- 10 \pm 130}{2}\\\\v =- 70 mph, 60mph[/tex]

So, the speed cannot be negative so the speed is 60 mph.


Related Questions

help me plz plz!! It's due tomorrow will Mark u as BRAINLIEST

Answers

Answer: Mean(Mia)=34.33 Mean(Sophia)=35.667

Sophia's phone calls on average, are longer in length than Mia's phone calls.

Step-by-step explanation:

HELP PLEASE!!!!

By which rule are these triangles congruent?

A) AAS

B) ASA

C) SAS

D) SSS

Answers

Answer:

ASA

Step-by-step explanation:

Both triangles contains two angles which indicate that it can only be the top 2 options.

Find the mean of the set of data: 10,12,29,2,19,42,23,23

Answers

Answer:

20

Step-by-step explanation:

mean is average

add all numbers get 160

divide by number of numbers (8) and get 20

Answer:

when you find the mean of a data set, you add all the numbers up then you divide the sum by the numbers in total. the sum is 160, you then divide by total of number which is 8 . your answer is 20. not sure if that made sense lol

Using the quadratic formula to solve x2 + 20 = 2x, what are the values of x?
O 1+√211
O-1+ 19;
O 1+2 V19;
O 1+ 19;

Answers

Answer:

1 ± √19i

Step-by-step explanation:

I don’t understand if anyone can explain?

Answers

Answer:

Part A: 320 ft²

Part B: 2,304 ft²

Step-by-step explanation:

Part A:

Area of one triangular face of the square pyramid = ½*base*height

base = 32 ft

height = 20 ft

Area = ½*32*20

Area = 320 ft²

Part B:

Total surface area of the square pyramid = area of the square base + area of the 4 triangular faces

= s² + 4(area of 1 triangular face)

s = 32 ft

area of 1 triangular face = 320 ft²

Total surface area = 32² + 4(320) = 1,024 + 1,280

= 2,304 ft²

hi I need help on this

Answers

Answer:

144 cm³ or 144 cubic centimeters

Step-by-step explanation:

Volume = Area triangle * height

Area triangle = 1/2 ( 3 x 8) = 1/2( 24) = 12

12 x 12 = 144 cm³

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

According to the national association of home builders the mean price of an existing single family home in 2018 was $395,000. A real estate broker believes that existing home prices in her neighborhood are lower.

Answers

Answer:

[tex]H_o:\mu = 395000[/tex]

[tex]H_a:\mu < 395000[/tex]

Step-by-step explanation:

Given

[tex]\mu = 395000[/tex] -- mean price

Required

Determine the null and alternate hypotheses

From the question, we understand that the mean price is:

[tex]\mu = 395000[/tex]

This represents the null hypothesis

[tex]H_o:\mu = 395000[/tex]

The belief that the home prices are lower represents the alternate hypothesis

Lower means less than

So, the alternate hypothesis is:

[tex]H_a:\mu < 395000[/tex]

please help! (listing BRAINLIST and giving points) ​ :)​

Answers

Answer:

sin∅ = 12/13

Step-by-step explanation:

use pythagorean theorem to find the missing side

a² + 5² = 13²

a² = 13² - 5²

a² = 169 - 25

a² = 144

a = 12

-----------------------------

Sin∅ = opp/hyp

sin∅ = 12/13

cuanto es 99+85+23+1231141221+52154234+265326355

Answers

Respuesta:
1548622017

What's the surface area of this figure? Pick one of the options.

Answers

197 in^2

Just find the area of each face in the figure.

These are the formulas I used:

Formula for area of trapzoid:
(a + b/ 2) x height

Formula for area of rectangle:
length x width

Formula for area of square:
Length x width

Hope this helps!



First, How many sides does it have?
Second, What do you do to find the area of a surface? (Square or rectangle)
Third, Add up all of the sides.

1: 6

2: multiply the length and width
(I am just doing the sides in a random order)

Top side: 5 x 5 = 25
Left side: 5 x 5 = 25
Right side: 6.4 x 5 = 32
Bottom side: 9 x 5 = 45
Front side: (14 x 5) divided by 2 = 35
Back side: (14 x 5) divided by 2 = 35

3: 25 + 25 + 32 + 45 + 35 + 35 = 197

Answer: 197

Hope this helps :D

SOMEONE HELP ME PLEASE
Simplify The Radical Expession

Answers

Answer:

[tex]\sqrt[4]{324n^4} =[/tex][tex]\sqrt[4]{4*81n^4} =[/tex][tex]\sqrt[4]{4*3^4n^4} =[/tex][tex]3|n|\sqrt[4]{4}[/tex]

Correct choice is B

Using the image, find the slope of the line. Reduce all fractions and enter using a forward slash (i.e. "/"). If the slope is undefined, enter "undefined."

Answers

9514 1404 393

Answer:

  0

Step-by-step explanation:

The slope of a horizontal line is zero (0). For any finite "run", the "rise" is zero.

  slope = rise/run = 0/run = 0

How do you round off to the nearest 1000 ?​

Answers

Rule I: While rounding off to the nearest thousand, if the digit in the hundreds place is between 0 – 4 i.e., < 5, then the hundreds place is replaced by '0'. Rule II: If the digit in the hundreds place is = to or > 5, then the hundreds place is replaced by '0' and the thousands place is increased by 1.

Step-by-step explanation:

hlo bookworm

please answer my questions??

A computer is an electronic device that manipulates information, or data. It has the ability to store, retrieve, and process data. You may already know that you can use a computer to type documents, send email, play games, and browse the Web

Help please ASAP ASAP ASAP

Answers

Answer:

13A

Step-by-step explanation:

The distance between two points P=(px,py) and Q=(qx,qy) is d=(qx−px)2+

Solve the system of equations using substitution or graphing. y = –x2 + 4x + 5 y = x + 1

Answers

Answer:

y

=

x

2

+

4

x

5

Step-by-step explanation:

A woman when working with her takes 2 hours to complete the housework, and takes 3 hours when working alone How long would it take the daughter to complete the housework if working alone?

Answers

I think that it would take the daughter 1 hour

The daughter will take 6 hours to complete the housework if working alone.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

A woman when working with her takes 2 hours to complete the housework and takes 3 hours when working alone.

Let's suppose y minutes taken by the daughter to complete the housework:

Rate for daughter = 1/x

1/3 + 1/x = 1/2

2x + 6 = 3x

x = 6 hours

Thus, the daughter will take 6 hours to complete the housework if working alone.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

Find the surface area of the regular pyramid.

Answers

Answer:

195.6

Step-by-step explanation:

The general formula for the total surface area of a regular pyramid is T. S. A. =12pl+B where p represents the perimeter of the base, l the slant height and B the area of the base.

y = 3 sine (one-third x)

Answers

Use the form
a
sin
(
b
x

c
)
+
d
a
sin
(
b
x
-
c
)
+
d
to find the variables used to find the amplitude, period, phase shift, and vertical shift.
a
=
3
a
=
3
b
=
1
3
b
=
1
3
c
=
0
c
=
0
d
=
0
d
=
0
Find the amplitude
|
a
|
|
a
|
.
Amplitude:
3
3
Find the period using the formula
2
π
|
b
|
2
π
|
b
|
.
Tap for more steps...
Period:
6
π
6
π
Find the phase shift using the formula
c
b
c
b
.
Tap for more steps...
Phase Shift:
0
0
Find the vertical shift
d
d
.
Vertical Shift:
0
0
List the properties of the trigonometric function.
Amplitude:
3
3
Period:
6
π
6
π
Phase Shift:
0
0
(
0
0
to the right)
Vertical Shift:
0
0
Select a few points to graph.
Tap for more steps...
x
f
(
x
)
0
0
3
π
2
3
3
π
0
9
π
2

3
6
π
0
x f
(
x
)
0 0
3
π
2
3 3π 0
9
π
2
-3 6π 0
The trig function can be graphed using the amplitude, period, phase shift, vertical shift, and the points.
Amplitude:
3
3
Period:
6
π
6
π
Phase Shift:
0
0
(
0
0
to the right)
Vertical Shift:
0
0
x
f
(
x
)
0
0
3
π
2
3
3
π
0
9
π
2

3
6
π
0
x f
(
x
)
0 0
3
π
2
3 3π 0
9
π
2
-3 6π 0

y
=
3
s
i
n
(
1
3
x
)
y
=
3

(
1
3
x
)


Answer:

B on edge

Step-by-step explanation:

HELPPP HOW MANU SURFACE AREAS DOES THIS HAVE DONT SEND A FILE!!

Answers

This has 6 surface areas ok zzmznznznznzjjznznsnjsowowokwkwnendmdmdmdm
the answer would be 6 i don’t know though

Help me out plssss thank u

Answers

x = 44°

Step-by-step explanation:

Since AB is a diameter,

arcAC + arcCB = 180

92° + arcCB = 180

or

arcCB = 88°

ArcCB is the intercepted arc and by definition, the inscribed angle x is half the measure of the intercepted arc. Therefore,

x = (1/2)arcCB

= 44°

Given the function
()= 33 +32 −6
43 + 42 − 80
a) Find the horizontal asymptote b) Find the vertical asymptote

Answers

a is 47’ and be is 90’

Help plz I’m so confused

Answers

answer is 6/7
u never multiply the bottoms only the top so it will give u 6 since theyre both negatives
-
answer = 6/7

Answer and Step-by-step explanation:

Simply multiply the numerator by the numerator, and the denominator by the denominator.

[tex]-\frac{2}{7}[/tex] × [tex]-\frac{3}{7}[/tex] = [tex]\frac{6}{49}[/tex]

#teamtrees #PAW (Plant And Water)

Need help if anyone can help me that’ll be nice

Answers

the answer is C.135



i hope this helped and let me know if you need help with any other questions:)
ALSO, PLS MARK THIS BRAINLIEST IF YOU CAN!!

Answer:

times up the outside bc we know the outside is the area

HELP ME PLEASEEEEEEEEEEEEEEEE

Answers

Answer:

[tex] \frac{2}{3} a - \frac{1}{6} = \frac{1}{3} \\ \frac{2}{3} a = \frac{1}{2} \\ 4a = 3 \\ a = \frac{3}{4} [/tex]

Can y’all help me on question 13?!

Answers

Answer:

90 cm²

Step-by-step explanation:

The shape can be divided in three rectangles.

Area = area of rectangle 1 + area of rectangle 2 + area of rectangle 3

✔️Area of rectangle 1 = L*W

L = 5 cm

W = 3 cm

Area = 5*3 = 15 cm²

✔️Area of rectangle 2 = L*W

L = 6 + 5 + 1 = 12 cm

W = 5 cm

Area = 12*5 = 60 cm²

✔️Area of rectangle 3 = L*W

L = 5 cm

W = 3 cm

Area = 5*3 = 15 cm²

✅Area of the shape = 15 + 60 + 15 = 90 cm²


Write the number 2.4 in the form
A/B, using integers,

Answers

Answer:

[tex] \frac{12}{5} [/tex][tex]2 \frac{2}{5} [/tex]

Step-by-step explanation:

Convert to simplified fraction:

Convert to a mixed number by placing the numbers to the right of the decimal over 10. Reduce the fraction. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator to get the new numerator. Place this new numerator over the original denominator.

Convert to Mixed fraction:

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is 1 number to the right of the decimal point, place the decimal number over 10[tex] ^{1} [/tex](10). Next, add the whole number to the left of the decimal.

[tex]2 \frac{4}{10} [/tex]

Reduce the fractional part of the mixed number.

[tex]2 \frac{2}{5} [/tex]

Hope it is helpful...

PLZ DONT LEAVE IN BLANK I WILL DO ANYTHING!!!!
The data below shows the scores of some students on a test:

29, 31, 27, 20, 25, 34, 24

Which box-and-whisker plot represents the data?

Answers

Answer:

B

Step-by-step explanation:

20,24,25,27,29,31,34

Answer:   Choice C

min = 20

Q1 = 24

median = 27

Q3 = 31

max = 34

============================================================

Explanation:

Original Data Set = {29, 31, 27, 20, 25, 34, 24}

Sorted Data Set = {20, 24, 25, 27, 29, 31, 34}

The middle-most value of the sorted set is 27, since there are 3 values above it and 3 values below. So the median is 27.

The median is represented by the vertical line inside the box. It does not have to be at the visual midpoint between the left and right edges. It simply needs to be anywhere inside the box.

So we can rule out choice B for instance because this answer choice shows a median of 25, when we want 27 instead.

Choices A, C and D all have the same median of 27.

-------------

Break up the sorted set into two smaller sets like this

L = {20, 24, 25}

U = {29, 31, 34}

L represents the set of lower values, which are smaller than the median. U is the upper set of values larger than the median. The median itself is not in L or U.

Find the median of L and U to get 24 and 31 respectively. These are the Q1 and Q3 values in that order.

Q1 = 24

Q3 = 31

These are the left and right edges of the box.

We can cross choice A off the list because the right edge of the box in that diagram is at 29 instead of 31.

The answer is between C and D.

-------------

The last things to consider are the min and max, which are the smallest and largest elements. These are the left and right tips of the whiskers, assuming that we don't have small or large outliers. In this case, we don't have to worry about outliers.

The min and max is 20 and 34 which must mean the answer is choice C

We can rule out choice D because the max shown here is 35.

-------------

In short, the data set has the following five number summary:

min = 20Q1 = 24median = 27Q3 = 31max = 34

all of these five values correspond to a specific visual feature of the boxplot (see diagram below)

Discuss three contributing factors that led to the human violations of human trafficking​

Answers

Answer:

Three contributing factors that led to human trafficking

Political instability, militarism, civil unrest, internal armed conflict and natural disasters may result in an increase in trafficking. The destabilization and displacement of populations increase their vulnerability to exploitation and abuse through trafficking and forced labour.

If x=4 and y=5. The value of 3x-5y​

Answers

Answer:

13, I believe :)

Step-by-step explanation:

3(4)-5(5)

multiply by the coefficient

=12-25

=-13

Please help. How do I solve this?

Answers

i believe the answer could be c but i’m not an expert on this subject- you’d have to fact check it with someone else on here
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