Select the correct answer.
It is 170 miles from Bruce's house to the city where his brother lives. On his last trip to visit his brother, he drove for 2 hours at 55 miles per
hour. Then he came to some very bad road construction. The rest of the trip took 2 hours. How many miles per hour did Bruce drive for the rest
of the trip?
Va

Answers

Answer 1

Answer:

He drove the rest of the trip at 30 miles per hour

Step-by-step explanation:

The rule of the distance is D = v × t, where

v is the speedt is the time

∵ It is 170 miles from Bruce's house to the city where his brother lives

D = 170 miles

∵ He drove for 2 hours at 55 miles per  hour

t1 = 2 hours and v1 = 55 miles/hour

→ By using the rule above find the distance of this part of his trip

D1 = 55 × 2 = 110 miles

∵ The rest of the trip took 2 hours

t2 = 2 hours

∵ D = D1 + D2

→ Substitute the values of D and D1 to find D2

170 = 110 + D2

→ Subtract 110 from both sides to find D2

∴ 60 = D2

D2 = 170 - 110 = 60 miles

∵ The rest of the trip is 60 miles

∵ It took 2 hours

D2 = v2 × t2

∴ 60 = v2 × 2

→ Divide both sides by 2

∴ 30 = v2

v2 = 30 miles/hour

He drove the rest of the trip at 30 miles per hour


Related Questions

Need help with fractions? Comment here if you need help :) I would love to help. This is Math subject. Please don't report. I'm just trying to help :)

Answers

Answer:

yeah what is 122×321???

It's really nice of you to help people when they're struggling with their subjects. You're a smart person! Stay positive and stay safe during this pandemic! Have a beautiful splendid day!!!

solve compound inequality x ≥ -3 or x < 3

Answers

Answer:

Step-by-step explanation:

Compound Inequalities is a method to find the variable value for the given compound inequalities. The two inequalities would be joined by the word 'and' or 'or'. It is presented in a number line. When the arrow points away from each other in the number line, then the inequalities are joined by 'and', if arrow points on same direction ...

8. Identify the mapping diagram that represents the relation and determine whether the relation is
a function.
(-5,-4), (-1,5) (-5,3),(7,8)

Answers

Answer:

Well, you didn't give a picture of the available mapping diagrams, so I can't tell you that.  However, I CAN tell you that the relation is not a function.

Step-by-step explanation:

A function occurs when each input only has one output.  For example if the input is 5, it can only give 1 y-value out.  It cannot give 2,3,4...etc values.  This relation is not a function because -5 maps to both -4 and 3.  That's one input to two outputs, which breaks the rules of a function.

Please solve both for me

Answers

Answer: 21.5

Step-by-step explanation:

Subtract it all

Can someone help solve this please ?

Answers

Answer:

it's the third one bc I got it right

Lara created a 15-pound platter of three different types of cookies for a banquet. The peanut butter cookies sell for $2 per pound, the sugar cookies sell for $3 and the chocolate chip cookies sell for $3.60 per pound. The entire platter is worth $40. The quantity of peanut butter cookies was 3 more than chocolate chips. How many pounds of each cookie was there. Answered with a chart.

Answers

Answer:

peanut butter cookies:8

sugar cookies:2

chocolate chip cookies:5

ratio: 4:1:2.5

Step-by-step explanation:

x=peanut butter cookies

y=sugar cookies

a=chocolate chip cookies

40=2x+3y+3.6a

15=x+y+a

x=a+3

15=(a+3)+y+a

y=12-2a

40=2(a+3)+3(12-2a)+3.6a

a=5

x=8

y=2

35,427 to nearest ten

Answers

Answer:

the answer is 35,430

Step-by-step explanation:

Find the number in the ten place 22 and look one place to the right for the rounding digit 77. Round up if this number is greater than or equal to 55 and round down if it is less than 55.

help me with math plsssssssssssss

Answers

the answer to this question is 1/2

*
Solve this system of equations: 2x+3y =12 12y=48-8x
(3,2)
O (6,0)
no solution
infinitely many solutions

Answers

Answer: (3,2)

Step-by-step explanation: x=-3/2y+6

2x+3y=12

Step 1: Add -3y to both sides.

2x+3y+−3y=12+−3y

2x=−3y+12

Step 2: Divide both sides by 2.

2x/2=-3y+12/2

i'm not finna do a whole tutoring session today, it make long explanations

Determine the slope and y-intercept from the following equation

y = (32) x + 3

Answers

y intercept Y=3

I only know the y intercept have a good day

Slope is 32 and the y intercept is 3

Travis received a letter from his bank saying that his checking account balance fell

zero. His account transaction log is shown below.

On which line did Travis make a mathematical error?

CHECK NO.

PAYMENT

DEPOSIT

DATE

10/17

10/18

DESCRIPTION OF TRANSACTION

Beginning Balance

CBC Audio (Headphones)

BALANCE

$367.50

-62.00

1125

$62.00

$305.50

Line 1

1126

10/22

NY Sport (Basketball Shoes)

$87.00

-87.00

$218.50

Line 2

Debit

10/25

Gary's Country Market

$38.50

-38.50

$180.00

Line 3

1127

10/25

Iggy's Skate Shop (Skateboard)

$188.00

-188.00

$8.00

Line 4

10/25

Cash Deposit (Birthday Money)

$20.00

+20.00

$28.00

Lines

Debit

10/30

McDonuts

$5.95

-5.95

$22.05

Line 6

Answers

Answer:

on line 13, where it says 1125

Answer:

Line 3

Step-by-step explanation:

L1  1126  10/22    NY Sport (Basketball Shoes)   $87.00  -87.00  $218.50

L2 Debit 10/25  Gary's Country Market            $38.50  -38.50  $180.00

L3 1127   10/25  Iggy's Skate Shop (Skateboard)  $188.00  -188.00  $8.00

L4          10/25  Cash Deposit (Birthday Money)  $20.00 +20.00 $28.00

L5 Debit  10/30  McDonuts                                    $5.95     -5.95     $22.05

The mistake is on line 3.

He subtracted $188 from $180 and got $8.

He should have gotten -$8 instead of $8.

Please help ASAP!!! Christine found a sweater at Nordstrom that was priced at $72.00. She noticed there was a sign that said "All sweaters are 20% off today. How much was the sweater before tax?

a
$57.60

b
$96.40

c
$70.56

d
$56.70

Answers

Answer:

57.60

Step-by-step explanation:

72/100=0.72, 0.72x80=57.60

18 - x = 15
Solve equation please

Answers

Answer:

3 is x

Step-by-step explanation:

A watercooler contains 160 cups of water. During practice, each person on a team fills a
water bottle with 3 1/3 cups of water from the cooler. Is there enough water for all 45
people on the team to fill their water bottles?
O yes
Ono

Answers

Yes, because 3 1/3 times 45 equals 150 which leaves 10 cups left over:

On a tour of an gold mine, you find a nugget containing 0.82 ounce of gold. Gold is worth $1323.80 per ounce. How much is your nugget worth?

Answers

Answer:

$1085.516

Step-by-step explanation:

just multiply 1323.80 and 0.82

What is the perimeter of the figure?
10 in
19 in
11 in
17 in

Answers

Answer:

57

Step-by-step explanation:

10+19+11+17=?

29+11+17=?

40+17=?

57

Answer:

57 inches

Step-by-step explanation:

17in + 19in +10in +11in = 57inches :)

PLEASE HELP!?!? What is the slope of the line graphed below?
(3, 3)
(0,-6)
m =
A.1/3
B. -3
C. 3
D. -1/3

Answers

Answer:

Option B is correct -3

Step-by-step explanation:

(3, 3)

(0,-6)

Slope=y1-y2/ x1-x2

=3+6/0-3

=9/-3

=-3

Slope is -3 so option B is correct

Answer: It’s -3, just did it

Step-by-step explanation:

Manny is deciding between two packages of yogurt. YoFruit costs $4.48 for 16 ounces. Yummy Yogurt costs $2.64 for 8 ounces. How much more does Yummy Yogurt cost per ounce?



I NEED HELP NOW!!!!!!!!

Answers

Answer:

38 cents per ounce

Answer: $0.05

Step-by-step explanation:

This is a question on me homework and me need help so plz help

Answers

u need to post the picture or else it doesn’t make sense

What is 45 mi/h=__ ft/s​

Answers

It's 66 ft/s Sjsjdbdhdkbdbdhdbs

Answer:

66 ft/s

Step-by-step explanation:

45 miles per hour = 66 feet per second

The middle five in 0.555 is 10 times the value of the 5 to its?

Answers

Answer:

yes

Step-by-step explanation:

Please help!! What Find the Error and explain why it is wrong!

Answers

Answer:

First image attached

The error was done in Step E, because student did not multiply [tex]2\cdot x -8[/tex] by the negative sign in numerator. Step E must be [tex]\frac{2\cdot x -5}{(x+4)\cdot (x-4)}[/tex].

Second image attached

The error was done in Step C, because the student omitted the [tex]2\cdot a \cdot b[/tex] of the algebraic identity [tex](a+b)^{2} = a^{2}+2\cdot a\cdot b +b^{2}[/tex]. Step C must be [tex]5\cdot x = x^{2}+4\cdot x + 4[/tex]

Step-by-step explanation:

First image attached

The error was done in Step E, because student did not multiply [tex]2\cdot x -8[/tex] by the negative sign in numerator. The real numerator in Step E should be:

[tex]3-(2\cdot x -8)= 3-2\cdot x+8 = 11-2\cdot x[/tex]

Hence, Step E must be [tex]\frac{2\cdot x -5}{(x+4)\cdot (x-4)}[/tex].

Second image attached

The error was done in Step C, because the student omitted the [tex]2\cdot a \cdot b[/tex] of the algebraic identity [tex](a+b)^{2} = a^{2}+2\cdot a\cdot b +b^{2}[/tex]. Step C must be [tex]5\cdot x = x^{2}+4\cdot x + 4[/tex]

And further steps are described below:

Step D

[tex]x^{2}-x+4 = 0[/tex]

Which according to the Quadratic Formula, represents a polynomial with complex roots. That is: ([tex]a = 1[/tex], [tex]b = -1[/tex], [tex]c = 4[/tex])

[tex]D = b^{2}-4\cdot a\cdot c[/tex]

[tex]D = (-1)-4\cdot (1)\cdot (4)[/tex]

[tex]D = -17[/tex] (Conjugated complex roots)

Step E

[tex](x-0.5-i\,1.936)\cdot (x-0.5+i\,1.936) = 0[/tex]

Step F

[tex]x = 0.5+i\,1.936\,\lor\,x = 0.5-i\,1.936[/tex]

pls help solve for z

Answers

Answer:

where is the work

Step-by-step explanation:

fdcaccge so tsf

Answer:

Step-by-step explanation:

z/m - z/n = 1                         Take out z as a common factor.

z (1/m - 1/n) = 1                      Find the common denominator of the 2 fractions

m * n is the common denominator. Multiply the two fractions by mn

z (n - m)/mn = 1                     Multiply by mn

z (n - m) = mn                       Divide by n - m

z = mn/(n - m)

The last line is your answer.

Her recipe calls for 120 ounces of salt water to every 10 ounces of seaweed to make one bottle of elixir.She wants to make smaller bottles of her elixir using only 1 ounce of seaweed per bottle.How many ounces of salt water will go into each of the smaller bottles?

Answers

120 divided by 10 is 12 so for every 1 ounce of seaweed there is 12 ounces of salt water. There for the answer is
12 ounces of salt water per 1 small bottle with 1 ounce of seaweed.

Two column proof that can include CPCTC, HL, or any angle postulates

Answers

Step-by-step explanation:

Given:∠3 ≅ ∠4BX ≅ AYBW ≅ AZProve: ΔWTZ is isoscelesSolution:

m ∠WBX = 180° - m ∠3

m ∠ZAY = 180° - m ∠4

∠WBX ≅ ∠ZAY as ∠3 ≅ ∠4 and 180° - m ∠3 = 180° - m ∠4BX ≅ AY, givenBW ≅ AZ, given

ΔWBX ≅ ΔZAY as per SAS postulate

∠W ≅ ∠Z as corresponding angles of congruent triangles

As per above the triangle WTZ is isosceles

Which should be the first step in solving the equation 1.2 w minus 3.8 = 12.4? Add 3.8 to both sides of the equation. Subtract 1.2 from both sides of the equation. Multiply both sides of the equation by 1.2. Divide both sides of the equation by 3.8.

Answers

Answer:

Add 3.8 to both sides of the equation.

Step-by-step explanation:

12w−3.8=12.4

Add 3.8 to both sides.

12w=12.4+3.8

Add 12.4 and 3.8 to get 16.2.

12w=16.2

Divide both sides by 12.

w= 12/16.2

​Expand  12/16.2 by multiplying both numerator and the denominator by 10.

w= 162/120

​Reduce the fraction  162/120 to lowest terms by extracting and canceling out 6.

w= 27/20 also equal to 1.35

Answer:

A

Step-by-step explanation:

Of the 1450 books in the library, there are 6 times as many books in the fiction section as are in the nonfiction section. Also, there are 400 more books in the reference section than are in the nonfiction section. How many books are in each section?
Fiction: Nonfiction: Reference:

Answers

Number of books in non fiction section  = 200

Number of books in fiction section  = 800

Number of books in reference section  = 850

Step-by-step explanation:

Total number of books in the library = 1850

Let us assume, number of books in non fiction section = m

Number of books in fiction section= 4 x Number of books in non  fiction

= 4  x  (m)

So, the number of books in reference section = 650 + m

Now, Total Number of books =  Number of { Fiction + Non- Fiction + Reference} Books

or,  1850 =  m + (4 m)  + 650 + m

or, 6 m + 650 = 1850

⇒ 6 m = 1850 - 650 = 1200

or, m = 1200 / 6 = 200  

⇒ m = 200

Hence, the number of books in non fiction section  = 200

Number of books in fiction section  =  4 m = 4 x 200 = 800

Number of books in reference section = 650 + m  = 200 + 650 = 850

help pls I really need it

Answers

Answer:

20(n + 10)

20n + 200

Step-by-step explanation:

We can write two expressions for the area of the figure by treating the figure as one whole rectangle, and also as two different rectangles in one.

The two expressions are as follows:

Expression of Area as one whole rectangle:

Area of a rectangle = length × width

Length = (n + 10) ft

Width = 20 ft

Area = (n + 10)× 20 = 20(n + 10)

Area of rectangle as two rectangles in one piece:

Area of the larger rectangle = length × width = n × 20 = 20n

Area of the smaller rectangle = length × width = 20 × 10 = 200

Total area = 20n + 200

Evaluate the following expression if x =6

3x-8

Answers

The answer is 10.

Explanation: You plug 6 into the expression where the x is so that the expression becomes 3(6) - 8. 3 times 6 equals 18. 18 - 8 = 10.

The figure shows the letter M and four of its transformed images-A, B, C, and D:
2 3 4 5 6
MWM
Which of the four images was formed by a reflection of the letter M? (1 point)
OA
OB

Answers

Answer:

D

Step-by-step explanation:

HOPE THIS HELPS

HAVE A good  DAY

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