Answer:
x = 816 kilometers per hour.
Step-by-step explanation:
Given the following data;
Distance traveled by Kirk = 450km
Distance traveled by Thor = 408 km
Let the average driving speed of Thor be x.
Translating the word problem into an algebraic equation;
k = x + 6
We know that the time taken to cover a distance by an object with speed is given by the formula;
Time = distance/speed
Substituting into the equation, we have;
408/x = 405/x + 6
Cross-multiplying, we have;
408*(x + 6) = 405*x
408x + 2448 = 405x
408x - 405x = 2448
3x = 2448
x = 2448/3
x = 816 kilometers per hour.
what is 8 ÷ 2(2 + 2) = i have been stuck on this problem for 1 year now Halp !!!
will give brainliest for the right answer thats funny
Answer:
ok after reviewing this answer for the past 8 years i just figured it out
1(6)
Step-by-step explanation:
i know this may come as a huge shock however this is actually true. It's been a long emotionally journey finding this answer but please bear with me, as im crying really hard right now since I cannot believe I actually solved it. As unbelievable as it sounds I will not be providing work as i think my mind is too big and swag, but please believe me on this because im literally the kid genius
edit: ok just ran this through my totally not paid for calculator with my mcdonalds money but it is actually 16 i am literally deleteing my account this is so embarassing for me
Answer:
8÷2= 4 and (2+2)= 4 .....
What is the ratio of red circles to blue circles
Answer:
1:1 or one red circle to one blue circle
There is one red and one blue circle
PLEASE HELP QUICKLYYY!!!!
A triangle and a vertical line are shown. If the triangle is revolved about the vertical line, what is the resulting object? a right triangle with one side against a vertical line solid cylinder hollow cylinder hollow cone with truncated top solid cone
Answer:
a solid cone
Step-by-step explanation:
A solid revolution is a general method that is used to revolve a given figure about its reference plane and produce the required solid. This process produces a three dimensional shape from a two dimensional figure.
A triangle in placed vertically on a straight vertical line. When the triangle is revolved about the vertical line a solid cone figure is obtained. The triangle generates a cone shape figure.
What is the length of the hypotenuse of an isosceles right triangle (both legs congruent), if the leg is 8?
Answer: 8 sqrt 2
Step-by-step explanation:
An isosceles right triangle is also known as a 45-45-90 triangle. In a 45-45-90 triangle, both the legs are equal, and the hypotenuse is the leg of the triangle multiplied by the square root of 2.
Another way to solve this is to us the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, a^2 + b^2 = c^2, with c being the hypotenuse. Since a and b are both equal to 8, 8^2 + 8^2 = c^2. This simplifies to 128 = c^2. By taking the square root of both sides, you get sqrt 128 = c. This simplifies to c = 8 sqrt 2
Prove ΔABC ∼ ΔGEF. (10 points)
Answer:
Step-by-step explanation:
If we take the below diagram for the given triangles, then ∠B=∠E and ∠A=∠G if AB=GE or if BC=EF, then corresponding angles will be equal.
Therefore, if we rotate the diagram, then also the angles will remain the same.
and y
together
in 10 days
15 days. In how
alone
can do a piece
of wool
x alone
do it
mony
would y
can finish
work?
the
Answer:
what its hard tho can you scan tha problem
Hamza decides to increase the prices of all items in his shop by 10%, Work out the new price of in item normally priced at £210
Sam bought a Blu-ray disc that normally costs $20. The store was running a sale that was a 15% discount for the
disc. What was the amount of discount Sam got on his disc?
Answer:
15% of $20 is $3
So the price of his disc was reduced to $3
Step-by-step explanation:
Evaluate the expression
-5+(-13) + 10 - 10 =
Answer:
-18
Step-by-step explanation:
A add and a minus makes a minus so you do -5 - 13 = -18
-18 + 10 = -8 -8 - 10 = -18 You do not have to write this out as positive 10 - 10 is equal to 0
A shark swimming 14 feet below the surface of the water. It descends 15 feet to catch a fish and then ascends 8 feet. Describes the location of the shark
Answer:
22 FT
Step-by-step explanation:
14+15-8=22
Riley buys ice cream and oranges at the store.
She pays a total of $37.15.
She pays a total of $3.62 for the ice cream.
She buys 7 bags of oranges that each cost the same amount.
How much does each bag of oranges cost?
Answer:
4.79 dollars.
Step-by-step explanation:
7x + 3.62 = 37.15
7x= 37.15-3.62
7x=33.53
x= 33.53/7=4.79 dollars.
What is the equation of the solid boundary line?
and can you explain how you solved it?
Answer:
solid boundary line: y = -1/2 x + 4
shaded area: y ≥ -1/2 x + 4 and y < x+1
Step-by-step explanation:
solid boundary line pass (0,4) (2,3)
slope (m) = (3-4) / (2-0) = -1/2
y intercept (b) = 4
equation: y = mx + b y = -1/2 x + 4
system: y ≥ -1/2 x + 4
dotted line: (0,1) (2,3)
m = (3-1) / (2-0) = 1
b = 1
equation: y = x + 1
system: y < x+1
Triangle PQR with vertices P(3, −6), Q(6, −9), and R(−15, 3) is dilated by a scale factor of 3 to obtain triangle P′Q′R′. Which statement best describes triangle P′Q′R′? It is similar to triangle PQR and has coordinates P′(1, −2), Q′(2, −3), and R′(−5, 1). It is congruent to triangle PQR and has coordinates P′(1, −2), Q′(2, −3), and R′(−5, 1). It is similar to triangle PQR and has coordinates P′(9, −18), Q′(18, −27), and R′(−45, 9). It is congruent to triangle PQR and has coordinates P′(9, −18), Q′(18, −27), and R′(−45, 9).
Answer:
It is similar to triangle PQR and has coordinates P′(9, −18), Q′(18, −27), and R′(−45, 9).
Step-by-step explanation:
Answer now pls I’ll give you brainliest just pls answer
Answer:
7,460 (or 7460 as some non-native English speakers would write it) since you always round a number down when it ends in 1 through 4, and always round it up when it ends in 5 through 9.
Step-by-step explanation:
pls give me brainliest plssssssssssssssssssssss.
Answer:
18.) 7,459.82 rounded to the nearest whole number is 7,460.
19.) 523.791 rounded to the nearest tenth is 523.8.
20.) 6,507.125 rounded to the nearest hundredth is 6,507.13.
what is 87.92 rounded to the nearest tenth
Answer:
87.92 rounded to the nearest tenth would be 87.9 because you wouldn't round up unless the number after the 9 was 5 or higher.
Step-by-step explanation:
Step-by-step explanation:
87.9
......
hope it helps!
what is 25% of 50 please
answer is idk because it is a half
does anyone minding helping me with exterior angles ? due in 2 days
Answer:
x=25
Step-by-step explanation:
(x+40)+(3x+10)=6x
4x+50=6x
50=2x
25=x
Answer:
see explanation
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ CBD is an exterior angle of the triangle, then
6x = x + 40 + 3x + 10, that is
6x = 4x + 50 ( subtract 4x from both sides )
2x = 50 ( divide both sides by 2 )
x = 25
Thus
∠ CBD = 6x = 6 × 25 = 150°
∠ CBA and ∠ CBD are adjacent angles and supplementary, sum to 180°, then
150° + ∠ CBA = 180° ( subtract 150° from both sides )
∠ CBA = 30°
find the locus of a point which moves such that its distance from (1,2) is always 5 units
Answer:
TbH my brain is to tired lol
Step-by-step explanation:
sorry
answer plz ill mark you brainliest bro
ALGEBRA-
Which expression is equivalent to (3x−2)(x+6) ?
4x + 4
3x² + 20x + 12
3x2+16x−12
4x² + 12x + 4
Answer:
1= false
2= one sloution
3=All real numbers are solutions.
4=No real solutions.
Step-by-step explanation:
hope this helps
how much is 21 hundreds
Answer:
21,000
Step-by-step explanation:
What is the solution to the system below?
-4x + 5y = 27
x - 6y = -2
Step-by-step explanation:
I used substitution method
-4x+5y=27
x-6y=-2
substitute x=-2+6y
I am again using : x-6y=-2
x(-2+6y)-6y=-2
-2+y=-2
y=-2÷2
y=-1
finding x:(substituting y=-1)
x-6y=-2
x-6(-1)=-2
x+6=-2
x=-2-6
x=-8
check:
-4x+5y=27
-4(-8)+5(-1)=27
32+-5=27
Two cards are dealt at random from a standard deck of 52 cards. What is the probability that the first card is a King and the second card is a $\heartsuit$
Answer:
1 / 51
Step-by-step explanation:
Given that :
Number of cards in a deck = 52
Number of heart suit = 13
Number of kings = 4
Recall:
Probability = (required outcome / Total possible outcomes)
P(first card is king) = 4/52 = 1/13
P(second card is heart) = 13/51
Hence,
P(first card is king) * P(second card is heart)
(1/ 13) * (13/51) = 13 / 663 = 1/ 51
Answer:
1/53
Step-by-step explanation:
So, you have 4 kings in a deck. You have a 4/52 chance in the first one which simplifies to 1/13. There are 13 hearts in a deck. 13/53 * 1/13 = 1/53. Sorry if I got this one wrong.
what is the domain and range
Answer:
domain: [0, positive infinity)
range: (negative infinity, positive infinity)
Guy spent £11.40 buying ingredients to make cupcakes. He sold all the cakes for a total of £39.90. What percentage profit did Gary make?
Answer:
sup
Step-by-step explanation:
whats 3% as a fraction
Answer:
3/100
Step-by-step explanation:
3% = 3/100 = 0.03
0.03 100
——— x ———
1 100
=
3/100
Which equation could have the graph shown below? y = (x – 4)(x – 1)(2 + x)(3 + x) y = (x – 4)(1 – x)(2 + x)(3 + x) y = (x + 4)(x + 1)(2 – x)(3 – x) y = (x + 4)(x + 1)(2 – x)(x – 3)
Answer: (x-4)2•(x-1)2•(x+2)2•(x+3)2•(x+4)2•(x+1)2•(x-2)2•(x-3)2
Step-by-step explanation: Step by Step Solution
More Icon
STEP
1
:
Equation at the end of step 1
((((((((((((((x-4)•(x-1)•(x+2))•(x+3))•(x-4))•(1-x))•(x+2))•(x+3))•(x+4))•(x+1))•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)
STEP
2
:
Equation at the end of step 2
(((((((((((((x-4)•(x-1)•(x+2)•(x+3))•(x-4))•(1-x))•(x+2))•(x+3))•(x+4))•(x+1))•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)
STEP
3
:
Equation at the end of step 3
((((((((((((x-4)•(x-1)•(x+2)•(x+3)•(x-4))•(1-x))•(x+2))•(x+3))•(x+4))•(x+1))•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)
STEP
4
:
Multiplying Exponential Expressions:
4.1 Multiply (x-4) by (x-4)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x-4) and the exponents are :
1 , as (x-4) is the same number as (x-4)1
and 1 , as (x-4) is the same number as (x-4)1
The product is therefore, (x-4)(1+1) = (x-4)2
Equation at the end of step
4
:
(((((((((((x-4)2•(x-1)•(x+2)•(x+3)•(1-x))•(x+2))•(x+3))•(x+4))•(x+1))•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)
STEP
5
:
5.1 Rewrite (1-x) as (-1) • (x-1)
Multiplying Exponential Expressions:
5.2 Multiply (x-1) by (x-1)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x-1) and the exponents are :
1 , as (x-1) is the same number as (x-1)1
and 1 , as (x-1) is the same number as (x-1)1
The product is therefore, (x-1)(1+1) = (x-1)2
STEP
7
:
Pulling out like terms
7.1 Pull out like factors :
-x - 2 = -1 • (x + 2)
Multiplying Exponential Expressions:
7.2 Multiply (x + 2) by (x + 2)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x+2) and the exponents are :
1 , as (x+2) is the same number as (x+2)1
and 1 , as (x+2) is the same number as (x+2)1
The product is therefore, (x+2)(1+1) = (x+2)2
STEP
9
:
Pulling out like terms
9.1 Pull out like factors :
-x - 3 = -1 • (x + 3)
Multiplying Exponential Expressions:
9.2 Multiply (x + 3) by (x + 3)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x+3) and the exponents are :
1 , as (x+3) is the same number as (x+3)1
and 1 , as (x+3) is the same number as (x+3)1
The product is therefore, (x+3)(1+1) = (x+3)
((((((((x-4)2•(x-1)2•(x+2)2•-1•(x+3)2•(x+4))•(x+1))•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)
STEP
10
:
Equation at the end of step 10
(((((((x-4)2•(x-1)2•(x+2)2•(x+3)2•(-x-4)•(x+1))•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)
STEP
11
:
STEP
12
:
Pulling out like terms
12.1 Pull out like factors :
-x - 4 = -1 • (x + 4)
Equation at the end of step
12
:
((((((x-4)2•(x-1)2•(x+2)2•(x+3)2•(-x-4)•(x+1)•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)
STEP
13
:
STEP
14
:
Pulling out like terms
14.1 Pull out like factors :
-x - 4 = -1 • (x + 4)
Equation at the end of step
14
STEP
15
STEP
16
:
Pulling out like terms
16.1 Pull out like factors :
-x - 4 = -1 •
Equation at the end of step
16
:
STEP
17
:
STEP
18
:
Pulling out like terms
18.1 Pull out like factors :
-x - 4 = -1 • (x + 4)
Multiplying Exponential Expressions:
18.2 Multiply (x + 4) by (x + 4)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x+4) and the exponents are :
1 , as (x+4) is the same number as (x+4)1
and 1 , as (x+4) is the same number as (x+4)1
The product is therefore, (x+4)(1+1) = (x+4)2
Equation at the end of step
18
:
(((x-4)2•(x-1)2•(x+2)2•(x+3)2•(x+4)2•(-x-1)•(2-x)•(3-x)•(x+1))•(2-x))•(x-3)
STEP
19
:
STEP
20
:
Pulling out like terms
20.1 Pull out like factors :
-x - 1 = -1 • (x + 1)
Multiplying Exponential Expressions:
20.2 Multiply (x + 1) by (x + 1)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x+1) and the exponents are :
1 , as (x+1) is the same number as (x+1)1
and 1 , as (x+1) is the same number as (x+1)1
The product is therefore, (x+1)(1+1) = (x+1)2
Equation at the end of step
20
:
((x-4)2•(x-1)2•(x+2)2•(x+3)2•(x+4)2•(x+1)2•(x-2)•(3-x)•(2-x))•(x-3)
STEP
21
:
21.1 Rewrite (2-x) as (-1) • (x-2)
Multiplying Exponential Expressions:
21.2 Multiply (x-2) by (x-2)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x-2) and the exponents are :
1 , as (x-2) is the same number as (x-2)1
and 1 , as (x-2) is the same number as (x-2)1
The product is therefore, (x-2)(1+1) = (x-2)2
22.1 Multiply (x-3) by (x-3)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x-3) and the exponents are :
1 , as (x-3) is the same number as (x-3)1
and 1 , as (x-3) is the same number as (x-3)1
The product is therefore, (x-3)(1+1) = (x-3)2
Final result :
(x-4)2•(x-1)2•(x+2)2•(x+3)2•(x+4)2•(x+1)2•(x-2)2•(x-3)2
Describe how the graph of y= x2 can be transformed to the graph of the given equation.
y = (x + 14)^2 (5 points)
Shift the graph of y = x2 down 14 units.
Shift the graph of y = x2 right 14 units.
Shift the graph of y = x2 left 14 units.
Shift the graph of y = x2 up 14 units.
Step-by-step explanation:
For y = x², y = 0 when x = 0.
For y = (x + 14)², y = 0 when x = -14.
Notice that the zero of the function has went from 0 to -14, or 14 units to the left.
The answer is "Shift the graph of y = x² left 14 units.".
Answer:
We conclude that the graph y = x² can be transformed into the graph of the given equation y = (x + 14)² by shifting the graph of y = x² left 14 units.
Step-by-step explanation:
Please check the attached graph.
The blue graph is representing the graph of y = x². The red graph is representing the graph of y = (x + 14)².If we carefully analyze the given graph which is attached below, it is clear that the given graph y = (x + 14)² is the transformed image of form f(x+b) of parent graph y = x².
In this graph, the function y = x² has been moved over 14 units to the left.
In other words,
f(x+2) = f(x+14)² means the function f(x) is shifted 14 units to the left.
Therefore, the graph y = x² can be transformed into the graph of the given equation y = (x + 14)² by shifting the graph of y = x² left 14 units.
Someone can help me with this assignment about The Pythagorean Theorem.
I have to solve it for the missing side length (s).
Answer:
√45^2-27^2
which is 36
hope it helps u dear
Mark me BRAINLIEST ❣️❤️❤️❣️❣️
Jimenez Paint Company used ⅙ gallon of paint to paint ½ of a gym wall. How many gallons of paint would it take to paint all four walls of the gym?
a: 4 gallons
b: 4/3gallons
c:2/3 gallons
d:3/4gallons
2200 people attend a football game. If 3/4 of those who came were not season ticket holders, how many were