Answer:
40 km/h and 60 km/hStep-by-step explanation:
Let the speed of the car is x, then the speed of motorcycle is x + 20
The distance = 120 km
Time:
120/x = 120/(x + 20) + 1120(x + 20) = 120x + x(x +20)120x + 2400 = 120x + x² + 20xx² + 20x = 2400 x² + 2*10x + 10² = 2500(x + 10)² = 50²x + 10 = 50x = 40Speed of the car is 40 km/h
Speed of the motorcycle is 60 km/h
Answer:
Speed of the car is 40 km/h
Speed of the motorcycle is 60 km/h
tdrzfffffffffffffffffffffffffffffff
Answer:
AYEEEEEEEEEEEEEEEEEEEE
Step-by-step explanation:
387.4 rounded to the nearest tenth
Answer:
387.4 is the answer
Step-by-step explanation:
hope this helps=)
Answer:
387.4 rounded to the nearest tenth is 387 because if it's 4 and below you'll get the ones place the same. And if it's 5 and over, the ones place will go up...
passes through (3,-6) and (-1,2) slope intercept form?
Answer:
2/1
Step-by-step explanation:
8/4 which is also 2/1
What is the value of x?
Answer:
Step-by-step explanation:
Step One
Find the supplement of both exterior angles. They both have angles that add with them to make 180 degrees.
x + 105 = 180 Subtract 105 from both sides
x = 180 - 105
x = 75
y + 148 = 180 Subtract 148 from both sides
y = 180 - 148
y = 32
Step Two
There are two ways to conclude the problem. You could find the value of the 3rd angle of the triangle, or you could notice that x is going to be the sum of the 2 angles you just found. These two angles are called the remote interior angle.
Method One
x = 32 + 75
x = 107
Method Two
32 + 75 + y = 180
107 + y = 180
y = 180 - 107
y = 73
The sum of x + 73 = 180
x = 180 - 73
x = 107
Explain how you would determine the slope and y-intercept of a line
when given a table, graph and an equation.
I KISS YOUR TOES IF YOU HELP ME
Answer:
slope is m= y_2-y_1/x_2-x_1 and the y-intercept is where the line crosses over the x-axis
Step-by-step explanation:
fill in the points and do the equation m= rise(y points)/ run(x points)
m=slope
(x_1, y_1) =coordinates of first point in the line
(x_2, y_2)=coordinates of second point in the line
Pls help Factor 4x^3+32
Answer:
Step-by-step explanation:
The greatest common factor they share is 4.
[tex]4(x^3+8)[/tex]
42% OF WHAT NUMBER IS 2? If you could please use the fiery cross?
Answer:
2100
Step-by-step explanation:
Sorry i dont know what the fiery cross is
Zena wants to paint a rectangle on a wall to serve as the background for a mural. She has enough paint to cover 38.25 square feet of wall space. If the width of the rectangle is 4.5 feet, what is its maximum length? a 33.75 ft b 8.5 ft c 38.25 ft d 4.5 ft
Answer:
8.5 feet.
Step-by-step explanation:
it is 38.25 / 4.5
Answer:
8.5
Step-by-step explanation:
what is -7/5 rounded to the nearest tenth?
Answer:
-1.4
Step-by-step explanation:
-7/5 = -1.4
A project manager has ordered 252 pallets of concrete blocks for a construction project. Casone's trucks can each carry 14 pallets of blocks at a time. The project manager used partial quotients to find the number of delivery trucks to expect. His work is shown at the right. Is his solution correct? Explain
Answer:
18 trucks of delivery
Step-by-step explanation:
Total pallets of concrete blocks ordered = 252 pallets
If each truck can carry 14pallets, then;
1 truck = 14pallets
To determine the number of delivery truck 252pallets can carry, we can express this as:
x truck = 252pallets
Divide both expressions
1/x = 14/252
Cross multiply
14x = 1×252
14x = 252
x = 252/14
x = 18
Hence the manger should expect 1 18 trucks of delivery
rationalise the denominator by 6 root 7 minus 1
Answer:
Assuming the numerator was 1.
[tex](6\sqrt{7}+1)/251[/tex]
Step-by-step explanation:
Assuming the numerator was 1.
[tex]1/(6\sqrt{7} -1)\\ (6\sqrt{7}+1)/((6\sqrt{7} - 1)(6\sqrt{7} + 1))\\ (6\sqrt{7}+1)/((6\sqrt{7})^2 + 6\sqrt{7} - 7\sqrt{7} - 1)\\(6\sqrt{7}+1)/((6\sqrt{7})^2 - 1)\\(6\sqrt{7}+1)/((36*7 - 1)\\(6\sqrt{7}+1)/251[/tex]
Write the quadratic equation in standard form:
x^2- 1 = -7x
Answer:
standard form: ax² + bx + c = 0
x² - 1 = -7x
x² + 7x - 1 = 0
4x – y = 7 3y – 12x = –21
Answer:
y=4x-7 3(4x-7)-21x=-21 12x-21-12x=-21 -21=-21
Step-by-step explanation:
I need help please!!
Answer:
y = -25x + 170
Step-by-step explanation:
For the graph equation y = ax + b, we have to find a and b.
Pick two points that are on the grid for best accuracy.
e.g., (2,120) and (6,20)
Then a = (20-120)/(6-2) = -25
b is the y coordinate of the line with the y axis: 170
So the formula is:
y = -25x + 170
Ordena de menor a mayor 13 5 10 10 4 6 5 59 29 50 24
Answer:24
Step-by-step explanation:
lol
The perimeter of a quadrilateral garden is 4x2+3x-4. The first side is represented by x2+2x+15. The second and third sides are each represented by x2-x-10. What expression represents the fourth side? Write a justification of your result.
Answer:
[tex]y = x^{2} + 3x + 1[/tex]
Step-by-step explanation:
Perimeter equals the sum of the lengths of the sides.
Let y = the length of the fourth side
[tex]4x^{2} + 3x - 4 = x^{2} + 2x + 15 + x^{2} -x - 10 + x^{2} - x - 10 + y[/tex]
[tex]4x^{2} + 3x - 4 = 3x^{2} - 5 + y[/tex]
[tex]x^{2} + 3x + 1 = y[/tex]
......................help
Answer:
50.528º
Step-by-step explanation:
tanA = BC/BA
tanA = 17/14
A = 50.528º
I need help with Geometry
You can buy six cans of root beer for $18. How much will she pay for 27
cans?
Answer:
162$$
Step-by-step explanation:
WILL CROWN BRAINLIEST Find the quotient.
29,424 divided by 15
Answer:
1961.6 as decimal
Step-by-step explanation:
I divided it
What is equivalent to 4x + 6y
Answer:
Is that all...
Step-by-step explanation:
Is there any other information if not then it is impossible to answer that question.
Write down in terms of n an expression for the nth term of the following sequence
12 16 20 24 28
Answer:
4n + 8
Step-by-step explanation:
consider the graph f(x)=3 to the power of x. describe how to graph the transformation f(x-3)+2
Answer:
shift the graph horizontally to the right for 3 units and then shift vertically up 2 units
Step-by-step explanation:
f(x) = x³ vs f(x-3)+2
f(x-3) will shift the graph horizontally to the right for 3 units
+2: will shift vertically up 2 units
My cousin borrowed $18,000 for a new car loan for 6 years. He told me that at the end of the loan, he had paid $25,560 for the interest and principal. What was the rate of the loan?
Answer:
6%
Step-by-step explanation:I
I'm going to assume that the interest is compoudning anually and there was only one payment
we know that
FV=PV(1+i)^N
which means taht
25560=18000(1+i)^6
Solve for i and get .06 or 6%
Area as a sum:
Area as a Product:
I need the are as a sum Nd a product
Given:
The area model.
To find:
The area as a sum and area as a product.
Solution:
The four terms of the area model are [tex]2x^2,10x, 3x, 15[/tex].
The area as a sum is the sum of all the terms of given area model.
Area as a sum = [tex]2x^2+10x+3x+15[/tex]
= [tex]2x^2+13x+15[/tex]
The area as a product is the factor form of sum of all the terms of given area model.
Area as a product = [tex]2x^2+10x+3x+15[/tex]
= [tex]2x(x+5)+3(x+5)[/tex]
= [tex](x+5)(2x+3)[/tex]
Therefore, the area as a sum is [tex]2x^2+13x+15[/tex] and the area as a product is [tex](x+5)(2x+3)[/tex].
Find the percent of increase to the nearest whole percent from 12 to 20? Please help
Customers can download books from an online bookstore for $8 each after paying $150 for an e-book reader. The total amount of money a customer spends on x books and the e-book reader can found using f(x)=8x+150.
What is the range of f in this situation?
A.All integers greater than or greater to 0
B.All real numbers greater than or equal to 150
C.(150,158,166,174,...)
D.(158,159,160,161,...)
Answer:C
Step-by-step explanation: (150,158,166,174,...)
Answer:
c
Step-by-step explanation:
it just is
given: x+y=10 if x=-21, what is y?
Answer: y = 31
Step-by-step explanation: all you need to do is plug in the x
since x = -21 we can put: -21 + y = 10
now we add 21 to both sides giving us: y = 31
Answer:
(-21,22)
Step-by-step explanation:
x+y=10
x=-21
subtitue the x value
-21+y=2
solve for y
y=22
Then write your answer by ordered pair
(-21,22)
Determine whether the expression is a polynomial. If it is a polynomial, find the degree
and determine whether it is a monomial, binomial, or trinomial.
3y^2 – 2
Answer:
This expression is a polynomial. The largest exponent is 2, therefore, it is in the quadratic degree. It is a binomial because it has two parts: 3y² and -2.
if the simple answer interest on 2,000 for 10 years is 1,600, then what is the interest rate
Answer:
8%
Step-by-step explanation:
Solving our equation
r = 1600 / ( 2000 × 10 ) = 0.08
r = 0.08
converting r decimal to a percentage
R = 0.08 * 100 = 8%/year
The interest rate required to
accumulate simple interest of $ 1,600.00
from a principal of $ 2,000.00
over 10 years is 8% per year.
