The units of the initial and final rates of speed are;
Initial rate of Speed = ft/hr
Final rate of speed = mi/min
We are told that the conversion factors he used are;5280 ft/1 mi and 1 hr/60 min
Now, the meaning of 5280 ft/1 mi denotes that;5280 ft mile is equivalent to 1 mile
This means that the initial distance unit used was ft while the final one was mile
Also, 1 hr/60 min denotes that;
1 hour is equivalent to 60 minutes.
This means that the initial time units used was hour while the final one was minute.
In conclusion, since we know the initial time and distance units used, we can say that the initial rate of speed ft/hr while final speed rate was miles/minutes.Read more at; https://brainly.com/question/17734333
3.
In February, you have a balance of $270 in your bank account. Each month you deposit $45. Let January = 1, February = 2, and so on. Write an equation for this situation. Use the equation to find the balance in June.
A. y = 45(x – 4); $180
B. y – 270 = 45(x – 2) ; $450
C. y = 45(x – 4); $270
D. y – 270 = 45x; $45
Answer:
B. y – 270 = 45(x – 2) ; $450
Step-by-step explanation:
In February, you have a balance of $270 in your bank account.
In January, you have a balance of $270 - $45 = $225 in your bank account.
In December, you have a balance of $225 - $45 = $180 in your bank account.
y = $180 + $45x, where x = 1, 2, 3, 4...
Balance in June: x = 6
y = $180 + $45x = $180 + $45×6 = $180 + $270 = $450
The complete question is:
In February, you have a balance of $270 in your bank account. Each month you deposit $45. Let January = 1, February = 2, and so on. Write an equation for this situation. Use the equation to find the balance in June.
Answer:
$450 in June
Step-by-step explanation:
$X = 270 + 45 × ( number of month)
In this problem, February, the month you start with, would be month 0.
June would be 4.
$X = 270 + 45 × 4
= 270 + 180
= $450 in June
$450 in June.
Given: Triangle ABC with vertices A(-3,5), B(-2,2), and. C(-4,2)
Given: Triangle A’B’C with vertices A’(3,1), B’(4,-2), and C’(2,-2).
Write the rule to map Triangle ABC onto Triangle A’B’C
Subtract 4 from the y value and add 6 to the x value to get ABC to A'B'C'
Evaluate the expression.
−5(−10−2(−3))2
What is the value of the expression?
Enter your answer in the box.
Evaluating the expression, [tex]-5(-10-2(-3))2[/tex] is equal to 40.
Given the following expression:
[tex]-5(-10-2(-3))2[/tex]To evaluate the given expression, we would apply BODMAS:
In this exercise, you're required to evaluate the given expression by simplifying it to its simplest form. Thus, we would have to apply BODMAS in order to achieve this.
In Mathematics, BODMAS is an abbreviation for the following:
BracketOfDivisionMultiplicationAddition SubtractionDealing with the brackets, we have:
[tex]-5(-10+6)2\\\\-5(-4)2\\\\20 \times 2 = 40[/tex]
Therefore, we have:
[tex]-5(-10-2(-3))2=40[/tex]
Read more on BODMAS here: https://brainly.com/question/24383445
Given m
|| n, find the value of x and y.
(4x-6)
(8x+18)
(y+3)
Step-by-step explanation:
(4x-6)+(8x+18) = 180°
12x+12 = 180
12x=168
x=14°........ ..(1)
8x+18=y+3.. (putting the value of x from equation1)
72+18-3=y
y= 87°
hope this helps you.
Can anyone answer questions 10 A and B asap please
Problem 10, Part A
The larger outer square is x cm by x cm, where x is some placeholder for a positive number. For example, if x = 10, then we have a 10 cm by 10 cm square.
Unfortunately, we don't know what number replaces x.
What we can determine is the connection between the larger square and the smaller one. The frame is 3 cm wide in all directions (aka it's a uniform width). What this allows for is that the smaller square is x-6 by x-6. The 6 is from subtracting two copies of 3, so ultimately we're subtracting off 2*3 = 6 to form the smaller dimensions.
You can think of it like x-3-3 = x-6
So we need to expand out (x-6)(x-6) like so
(x-6)(x-6)
y(x-6)
xy - 6y
x(x-6) - 6(x-6)
x^2-6x - 6x+36
x^2-12x+36
In the second step, I replaced one copy of (x-6) with y, after which I used the distributive rule. After distributing, I plugged in y = x-6 and distributed again. The last step is combining like terms. As an alternative, you can use either the box method or the FOIL rule to find the answer.
The expression x^2-12x+36 is the expanded form of the area of the smaller square, which is the picture itself without the frame involved.
Answer: x^2 - 12x + 36===========================================================
Problem 10, Part B
We follow the same idea as the previous part. This time, we have a rectangle that isn't a square.
Along the horizontal, the (x+30) will drop to (x+30)-5-5 = x+20 when we consider just the picture without the frame. In other words, the smaller inner rectangle has a horizontal dimension of (x+20) cm.
The vertical component of this smaller rectangle is x-5-5 = x-10 cm
So,
area = length*width
area = (horizontal dimension)*(vertical dimension)
area = (x+20)(x-10)
area = y(x-10) ..... let y = x+20
area = xy - 10y ...... distribute
area = x(x+20) - 10(x+20) ... plug in y = x+20
area = x^2+20x - 10x - 200 ..... distribute again
area = x^2 + 10x - 200
Answer: x^2 + 10x - 200Side note: the units for this area, and for part A, are in square cm.
Convert three core seventeenlakh ten thousand seven hundred eighty six
Answer:
31710786
Step-by-step explanation:
IF you meant it to convert into digits.
work out 5^-2 x cube root 8
Answer:
0.08
Step-by-step explanation:
5 ^-2 * cube root of 8
first of all, let us solve 5^-2
using the law of indices;
a^-2 = 1 / a ^2
following this law, we have;
5^-2 = 1 / 5^2
we know that 5^2 = 25
therefore,
5^-2 = 1 / 25
now, let is continue by solving the cube root of 8
now, there are three ways of solving this;
we could just simply think of any number that when multiplies itself three times times, it gives 8, or we could just simply use a calculator
regardless of what we use, we have to end up with the number 2 as the answer
leading is to our conclusion.
from all our solution, we have reduced our question to;
1 / 25 ( which is 5^-2) * 2 ( which is the cube root of 8 )
= 1 / 25 * 2 / 1
note that 2 is the same as 2 / 1. We put it like this when we want to carry out an operation on an integer ( e.g. 2) and and a fraction ( e.g. 1 / 25 )
so,
1 / 25 * 2 / 1 =
2 / 25 ( the two multiplies the 1 in 1 / 25 and the 25 multiplies the 1 in 2 / 1)
leaving our answer in decimal, we have;
0.08
hope this helps,
thanks!!!
What is the value of x in the equation, 0.25x + 7 = 4(x – 2)
Answer:
4
Step-by-step explanation:
0.25x + 7 = 4(x-2)
0.25x + 7 = 4x - 8
0.25x - 4x = -7 - 8
-3.75x = -15
3.75x = 15
x = 4
A 81-inch board is cut into two pieces. One piece is two times the length of the other. Find the length of the shorter piece.
What can be used to explain a statement in a geometric proof
Answer:
corollary,postulate,theorem,definition
WILL GIVE BRAINLIEST
Find the value of x
Use the equation to complete an algebraic proof that proves the answer is x = 7/6. Write your proof in your journal and upload your answer. You will be awarded 5 points for the statements and 5 points for the reasons.
(2x+6)/5=4x−3
Answer:
x=7/6
Step-by-step explanation:
subtract the 4x from both sides of the equation
(2x+6)-4x=4x-3-4x
find common denominator
(2x+6)/5+(5(-4)x)/5=4x-3-4x
then combine fractions
(2x+6+5(-4)x)/5=4x-3-4x
then multiply the 5&4
(2x+6-20x)/5= 4x3-4x
combine terms
(-18x+6)/5= -3
then multiply everything by 5
-18x+6= -15
subtract the 6 from both sides
-18x= -21
divide -21 by -18
(-21)/(-18)=x
find greatest common multiple (3) and solve
x = 7/6
kevin uses a coupon for 75% off one item. he only pays $3.00 for a train set. how much money was the train set originally?
Answer:
$4.00
Step-by-step explanation:
75% of 4
75% × 4 =
75/100 × 4 =
(75 ÷ 100) × 4 =
75 × 4 ÷ 100 =
300 ÷ 100 =
= 3
Hope this helps.
Please, Help me im in middle school so it might be easy for you.
Answer:
1/2
Step-by-step explanation:
i am so confused pleassssss help meeeee
Step-by-step explanation:
2y+7-5y+6y-3+y=
(2-5+6+1)y +7-3 =
(4)y + 4 =
4y + 4
the others could be:
9y-5+9-5y
and
4y-1+2y-y-y+1+4
Maria can read 10 pages of a book in 25 minutes. How many pages can she read in 120 minutes?
Answer:
48
Step-by-step explanation:
25x4.8=120
10×4.8=48
I got 4.8 by doing this:
I already knew that 25×5 would equal 125.
but since they wanted 120, I instead multiplied 25 by 4 with decimals from 1-10 until I got 120, then I multiplied that with the 10 pages to get my answer.
3(x + 2) = 2x + 5 justification/ reason
Answer:
x = -1
Step-by-step explanation:
3(x + 2) = 2x + 5
Use the distributive property on the left side.
3x + 6 = 2x + 5
Subtract 2x from both sides. Subtraction property of equality.
x + 6 = 5
Subtract 6 from both sides. Subtraction property of equality.
x = -1
Answer: 1
Step-by-step explanation: 3(x+2)=2x+5
3x+6=2x+5
-3x -3x
6=1x+5
-5 -5
1=1x
Daisy’s flower shop sold 135,649 flowers during its first year. The second year, the shop sold additional 9,754 flowers. How many flowers did the shop sell in these two years?
Answer:
281052
Step-by-step explanation:
To solve for the second year we add 135,649 and 9754, because there is an additional amount of flowers. Then we add the flowers from the first year to get the total amount of 281052.
Todd scored 132 points in 12 games. Terry scored 81 points in 8 games. Which rate is better?
Answer:
Todd I think if I'm wrong sorry
I need help with one more problem in algebra 1a
Answer:
A = 1/8 or -1/8
Step-by-step explanation:
How do you write 0.277777777777...... as a fraction?
Answer:
27777/100000
Step-by-step explanation:
i hope its right
what is equal to 16x103
Answer:
1648
Step-by-step explanation:
Let's use the distributive property:
(16 x 100) + (10 x 3) + (6 x 3) =
1600 + 30 + 18 = 1648
-Chetan K
and are
8. (1.2) Sketch the information given then find BD. Points A.
collinear and in that order. CD = -254 + 8x, AC = 92, BD = x + 113,
and AB = 13x - 527,
First draw a straight line and plot the four points A,B,C,D on that line. It doesn't matter where you plot the points as long as they are in order and none overlap.
We're given AD = x+203. We also know that BD = x+127. Since AB + BD = AD (segment addition postulate) we can determine the length of AB
AB + BD = AD
AB + BD-BD = AD-BD Subtract BD from both sides.
AB = AD-BD
AB = (x+203)-(x+127)
AB = x+203-x-127
AB = 76
The length of BC is also 76 (given). So,
AB+BC = 76+76 = 152
this is equal to the length of AC because AB+BC = AC
So, AC = 152 units
Final Answer: 152 units
Name the marked angle in 2 different ways.
P
Q
N
Answer:
One way you can name it is ∠PQN. Another way is ∠NQP.
Step-by-step explanation:
Hope this helps!
BRAINLIEST!!! +15 POINTS!!! REAL ANSWERS ONLY PLEASE!!!
The 3rd option where it's at (-2,0) and going down.
Answer:
third one(from left) in first row
Step-by-step explanation:
-|x| is same as ^ and f(0)=-2
Can someone please help me?
Answer:
Use the SINE COSINE and the TANGENT rule
Step-by-step explanation:
1.1st use the Pythagoras theorem to find the value of the other side
2.Now be comfortable to use the rule............................
What are the domain and range of this relationship?
Domain: {0, 1, 2, 3, 4, 5)
Range: {0, 12, 24, 36, 48, 60)
Domain: {0, 12, 24, 36, 48, 60)
Range: {0, 1, 2, 3, 4, 5)
Domain: {:10< 60}
Range: {y 0 Sy <5}
Domain: {r 10 SI<5}
Range: {y 10
Answer:
domain 0 ≤ y ≤ 72 and the range is 0 ≤ y ≤ 6
Step-by-step explanation:
Write 36 as a product of its prime factors. Write them In order smallest to largest.
how to solve it pls someine helpppppppp
Answer:
-6.5
Step-by-step explanation:
2n+3×6=5
2n+18=5
2n=5-18
2n= -13
n=-6.5
i hope it helps
If mZ1
=
31° what is the measure for m_2
?
Answer:
Measure 2 is 149
Step-by-step explanation:
Answer:
149°
Step-by-step explanation:
Since this is a supplementary angle to Angle measure 1, it makes the two equal 180. Your angle M2 = 149