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
Evaluate the following expression if x =6
3x-8
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:
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
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
Answer:
57.60
Step-by-step explanation:
72/100=0.72, 0.72x80=57.60
This is a question on me homework and me need help so plz help
What is 45 mi/h=__ ft/s
Answer:
66 ft/s
Step-by-step explanation:
45 miles per hour = 66 feet per second
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
Answer:
D
Step-by-step explanation:
HOPE THIS HELPS
HAVE A good DAY
pls help solve for z
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.
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?
Answer:
$1085.516
Step-by-step explanation:
just multiply 1323.80 and 0.82
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)
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.
The middle five in 0.555 is 10 times the value of the 5 to its?
Answer:
yes
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!!!!!!!!
Answer:
38 cents per ounce
Answer: $0.05
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
Can someone help solve this please ?
Answer:
it's the third one bc I got it right
*
Solve this system of equations: 2x+3y =12 12y=48-8x
(3,2)
O (6,0)
no solution
infinitely many solutions
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
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.
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:
solve compound inequality x ≥ -3 or x < 3
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 ...
help pls I really need it
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
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 :)
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!!!
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
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 solve both for me
Answer: 21.5
Step-by-step explanation:
Subtract it all
Two column proof that can include CPCTC, HL, or any angle postulates
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, givenΔWBX ≅ ΔZAY as per SAS postulate
∠W ≅ ∠Z as corresponding angles of congruent triangles
As per above the triangle WTZ is isosceles
35,427 to nearest ten
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.
Please help!! What Find the Error and explain why it is wrong!
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]
18 - x = 15
Solve equation please
Answer:
3 is x
Step-by-step explanation:
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?
help me with math plsssssssssssss
Determine the slope and y-intercept from the following equation
y = (32) x + 3
y intercept Y=3
I only know the y intercept have a good day
What is the perimeter of the figure?
10 in
19 in
11 in
17 in
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 :)
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.
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
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
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: