Answer:
60 km/hr
Step-by-step explanation:
Let the speed at the initial average speed from Town X to Town Y be a.
We are told that it journeyed to Town Z at an average speed 20 km/h faster than its initial average speed. Thus, its average speed here is (a + 20) km/hr.
Town Y was 200 km from Town Z.
Thus, time spent here is;
t_2 = 200/(a + 20)
Time from X to Y is; t_1 = 150/a
We are told that it took the same time to travel for both parts of the journey.
Thus; t_1 = t_2
150/a = 200/(a + 20)
Cross multiply to get;
150(a + 20) = 200a
150a + 3000 = 200a
200a - 150a = 3000
50a = 3000
a = 3000/50
a = 60 km/hr
complete the function table for the given domain and plot the points on the graph f(x)=(x-5)^2+1
Answer:
Please check the explanation.
Step-by-step explanation:
Given the function
f(x) = (x-5)²+1
put x = 2
f(2) = (2-5)²+1 = (-3)²+1 = 9+1 = 10
put x = 3
f(3) = (3-5)²+1 = (-2)²+1 = 4+1 = 5
put x = 4
f(4) = (4-5)²+1 = (-1)²+1 = 1+1 = 2
put x = 5
f(5) = (5-5)²+1 = (0)²+1 = 0 + 1 = 1
put x = 6
f(5) = (6-5)²+1 = (1)²+1 = 1 + 1 = 2
Thus, the table wil be completed as:
x 2 3 4 5 6
f(x) 10 5 2 1 2
Please check the attached figure for the plotting graph.
Answer:
He is correct^^^^^^
Step-by-step explanation:
just took the test
Find the measure of each missing angle.
Answer:
m< 3 = 180 - 93
m< 3 = 87 degrees
m< 4 = 180 - 87 - 49
m< 4 = 44 degrees
m< 2 is vertically opposite to the 49 degree angle given
m< 2 = 49 degrees
m< 1 = 180- 68 - 49
m< 1 = 63 degrees
The measure of each missing angle are; m< 1 = 63, m< 2 = 49, m< 3 = 87 and m< 4 = 44 degrees
What are vertically opposite angles?The vertically opposite angles are those angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.
We can determine angle 3 as;
m< 3 = 180 - 93
m< 3 = 87 degrees
Also,
m< 4 = 180 - 87 - 49
m< 4 = 44 degrees
We can see that m< 2 is equal to 49-degree angle by a vertically opposite angle.
m< 2 = 49 degrees
m< 1 = 180- 68 - 49
m< 1 = 63 degrees
Hence, the measure of each missing angle are; m< 1 = 63, m< 2 = 49, m< 3 = 87 and m< 4 = 44 degrees
Learn more about vertically opposite angles;
https://brainly.com/question/18045519
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given the function f(x)=x^2+5,evaluate f(-10)
Answer:105
Step-by-step explanation:
An equation is written below.
3/4x-4 = -19
What is the solution to the equation?
Answer:
x = -20
Step-by-step explanation:
3/4x - 4 = -19
multiply by 4 to eliminate denominator
3x - 16 = -76
3x = -60
x = -20
HELP PLEASE!
An hour before show time, only 108 people are seated for a musical performance. According to the ticket sales, 97% of the people have yet to arrive. How
many tickets were sold for the musical performance?
Answer:
3600 tickets were sold for the musical performance.
Step-by-step explanation:
Given that:
Number of people seated for musical performance = 108
Percent to people to arrive yet = 97%
It means that the people who have already come are 3%.
Let,
x be the number of tickets sold.
3% of x = 108
[tex]\frac{3}{100}x=108\\[/tex]
0.03x = 108
Dividing both sides by 0.03
[tex]\frac{0.03x}{0.03}=\frac{108}{0.03}\\x=3600[/tex]
Hence,
3600 tickets were sold for the musical performance.
helphelphelphelp im desperate
Answer: Option A.
Step-by-step explanation:
Simplifying
xy + -9z = 4
Solving
xy + -9z = 4
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '9z' to each side of the equation.
xy + -9z + 9z = 4 + 9z
Combine like terms: -9z + 9z = 0
xy + 0 = 4 + 9z
xy = 4 + 9z
Divide each side by 'y'.
x = 4y-1 + 9y-1z
Simplifying
x = 4y-1 + 9y-1z
Write the rule to describe the transformation.
C(4,-5), D(3,-1), E(5,-3)
C'(2,-2.5), D'(1.5, -0.5), E' (2.5,-1.5)
Answer:
(x, y) ----> (x - 2, y + 2.5)
This is the rule because a letter with an apostrophe is the image after. If it has no apostophre, it is the PRE-IMAGE. Let's look at C.
C (4, -5)
C'(2, -2.5)
4-2 = 2
-5+2.5 = -2.5
Since those are the coordinates of C', that is your rule.
2.) Put these decimals in order from least to greatest:
2.03, 2.30, 32, 302, .032
NEWPA
This is least to greatest. ζόμπα
Answer:
.032 .302 .32 2.03 2.30
Step-by-step explanation:
I’m just doing it for my niece but who knows it
Answer:
I personally think the third one
Step-by-step explanation:
A $40,000 car depreciates in value about 18% per year for the life of the car. Determine the value of the car after 7,8, and 9 years. What is the rate of decay?
Answer:
Value after:
7 years = $9971.42
8 years = $8176.56
9 years = $6704.78
Rate of decay = 18%
Step-by-step explanation:
A $40,000 car depreciates in value about 18% per year for the life of the car.
Determine the value of the car after 7,8, and 9 years. What is the rate of decay?
The formula for Depreciation is
FV = PV( 1 - r)^t
Where
FV = Future value
PV = Present value = $40,000
r = Depreciation rate = 18% = 0.18
t = time in years
a) After 7 years
$40,000 (1 - 0.18)⁷
= $9971.4188227
= $9971.42
b) After 8 years
$40,000 (1 - 0.18)⁸
= $8176.5634346
= $8176.56
c) After 9 years
$40,000 (1 - 0.18)⁹
= $6704.7820164
≈ $6704.78
= $9971.42
The Rate of decay = 18%
Solve the radical equation. Quick !!! Show work !
-26x + 3 = -18
Answer:
12
Step-by-step explanation:
[tex]-2\sqrt{6x+3} = -18[/tex]
divide both sides by negative 2
[tex]\sqrt{6x+3} = 9[/tex]
square both sides
6x+3=81
6x=78
x=12
Can you please tell me what the answer is
Answer:
52.5
Step-by-step explanation:
WX curve is 105 degrees
so to find WYX, you need to divide the WX curve by 2:
105 / 2 = 52.5 degrees
I think this is right, I have not done this in years so I am rusty at this
Write an equation in point slope form for the line through the given point with the given slope.
(-7, 9); m: 4/5
A. y+7=4/5(x-9)
B. y-7=4/5(x+9)
C. y-9=4/5(x-7)
D. y+9=4/5(x-7)
❤︎
Answer:
Ans C
m=4/5
X1= -7
Y1 = 9
Y-Y1=m(X-X1)
Y-9=4/5(X-(-7))
Y-9=4/5(X+7)
Help? Will give brainliest
Answer:
2) A
3) A
Step-by-step explanation:
2:
3y + 4x = 15
(divide 15 by 3 to get y by itself... then subtract 4 to the side with 15 so you have the proper equation)
y = 5 - 4x (when you graph it, the y intercept is 5)
3:
since x = -4y ... you substitute that into the second equation
-4y + 5y = 2
then solve for y
y = 2
so now you substitute y into the first line
x = -4(2)
x = -8
what is the soulution to the equation 13 3/4+x=7 1/4
Step-by-step explanation:
[tex]13 \frac{3}{4 } + x = 7 \frac{1}{4} [/tex]
[tex] \frac{55}{4} + x = \frac{29}{4} [/tex]
[tex]x = \frac{29}{4} - \frac{55}{4} [/tex]
[tex]x = - \frac{13}{2} [/tex]
7.) One gallon is 4 quarts. Kai buys 2.5 gallons of milk at the store. How many quarts of milk did Kai buy?
Answer:
10 quarts
Step-by-step explanation:
What value does point P represent on the number line given?
PLZZZ HURRY
Find the center and the radius and the center of the circle with the given equations:
Answer:
3. (-1 , 3) , 4
4. (0 , -7), 8
Step-by-step explanation:
circle: (x-h)² + (y-k)² = r²
3. x²+2x+y²-6y-6 =0
(x²+2x+1) + (y²-6y+9) -16 =0
(x+1)² + (y-3)² = 4²
center(-1 , 3) radius: 4
4. x²+y²+14y-15=0
(x+0)² + (y²+14y+7²) - 64 = 0
(x+0)² + (y+7)² = 8²
center: (0 , -7) radius: 8
Answer:
3. Center = (-1,3) Radius = 4
4. Center = (0,-7) Radius = 8
use completion of squares to find the solution, if you do not understand what this means, there is a great video on utube by the channel Prep Expert that explains finding the center of a circle based on an equation.
In your own words, what is the least common multiple of two whole numbers? How can you find it?
Answer:
One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.
Step-by-step explanation:
That's how I do it.
Antonio tried to evaluate an expression. Here is his work: (57–8+5)÷9(17–14) = (49+5)÷93 Step 1 = (49+5)÷27 Step 2 = 54÷27 Step 3 = 2 Step 4 Is Antonio's work correct?
Answer:
Antonio's work is correct but his method is not
Step-by-step explanation:
(57–8+5)÷9(17–14) = (49+5)÷9
Antonio work:
Step 1 = (49+5)÷27
Step 2 = 54÷27
Step 3 = 2
Correct working:
Step 1:
Addition first
-8 + 5 = -3
= (57 - 3) ÷ 9(3)
Step 2:
= 54 ÷ 27
Step 3:
= 2
Antonio's work is correct but his method is not
He subtracted first when he is supposed to add first according to the rule of BODMAS
B - bracket
O - off
D - division
M - multiplication
A - Addition
S - subtraction
Which side has a length of 10 units?
Answer:
I'm not honestly for sure but i'm guessing the side G, J because it is the longest!
Hope this helps,
0Drink0Milk0
it is Gj your welcome it has to be
At aa car dealership, for every 4 silver cars that are sold, 6 red cards are also sold. If 90 cars. Total are sold in a month, how many silver cars were sold?
Answer: 36
Step-by-step explanation:
From the question, we are informed that for every 4 silver cars that are sold, 6 red cards are also sold.
When there are 90 cars sold in a month, the number of silver cars that were sold would be:
= [4 / (4 + 6)] × 90
= 4/10 × 90
= 4 × 9
= 36 silver cars
The length of a school bus is 12.6 meters. If 9 school buses park end to end with 2 meters between each one, what's the total length from the front of the first bus to the end of the last bus?
Answer:
129.4
Step-by-step explanation:
Calculation for what's the total length from the front of the first bus to the end of the last
First step is to multiply the given number of buses by the length of each one
Hence,
12.6 meters x 9 = 113.4 meters
Second step
Since there are 8 spaces in between we would multiply the 8 spaces by 2 meters
8 x 2 meters = 16
Now let calculate total length from the front of the first bus to the end of the last
16 + 113.4 meters =129.4
Therefore total length from the front of the first bus to the end of the last will be 129.4
(GIVING BRAINILEST) The dot plots show the number of crackers per box for two different brands Which of he following statements is correct
Answer:
A
Step-by-step explanation:
Answer:
The mean for brand B is lower than the mean for brand A.
Step-by-step explanation:
Test appoved
The average of the integers 4, 9, 10, 14, a, and b is 10. Find the sum of a and b.
Answer:
The answer is A = 14 B = 4 14 - 4 = 10 I think.
Step-by-step explanation:
It's not a sum its a difference because this is a subtraction problem I think.
I need help please! Thank you
Answer:
2/5
Step-by-step explanation:
First, we substract the y variables.
y - 2 - y - 3 = 1
2(1) = 2
Then we subtract the bottom numbers.
5-2 = 3
The answer is 2/5
Answer:
y = 4
Step-by-step explanation:
I want to the answer for 7+2×4-8-4
Answer:
3
Step-by-step explanation:
Using PEMDAS:
ParenthesesExponentsMultiplication ⇄ DivisionAddition ⇄ SubtractionWe can evaluate 7 + 2 × 4 - 8 - 4.
Start with multiplication:
7 + (2 × 4) - 8 - 47 + 8 - 8 - 4Now we can add and subtract from left to right.
15 - 8 - 47 - 4 3The answer to this problem is 3.
Answer:
Step-by-step explanation:
here because its an expression you use bodmas then you take 7+2= 9 take 9 times 4 = 36 take 36 minus 8 = 28 take 28 minus 4 = 24 this is the answer
HELP! circle theorems question - 25 points
Answer:
120°
Step-by-step explanation:
∠A+∠C = 180°
Or, 60° +∠C = 180°
Therefore, ∠C = 120°
Answer:
120
Step-by-step explanation:
hope that helps
Solve 5x+3=3x+11
Please can someone answer this.
What is the surface area of the cylinder with height 5 yd and radius 7 yd?
Answer:
168*pi square yards.
Step-by-step explanation:
So, first the surface area of a cylinder is the sum of the two circles plus the rectangle forming the column.
The area of the column is the height x perimeter of the circle
and
The area of the circles is pi x radius^2
Just add all of those up.
Column: 5 * 2 * pi * 7 = height * 2pi * radius = 70*pi
2 x Circle = 2 x pi * 7^2 = 2x49*pi = 98*pi
Sum: 70*pi + 98*pi = 168* pi