Answer is in the picture:
At 2:02 PM the two vehicles pass each other.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
Given thta,
Los Angeles to San Francisco:
rate = 60 mph ; distance = x miles ; time = d/r = x/60 hrs
San Francisco to Los Angeles:
rate = 40 mph ; distance = 400-x ; time = d/r = (400-x)/40 hrs
So, equation is
x/60 = (400-x)/40 + 3
x/60 = (400-x)+120/40
40x = 60[(400-x)+120]
40x=24000-60x+7200
100x=31200
x=312 miles
Now, time = 312/60
= 5.2 hours
Clock time = 9+5.2
= 14.2 hours
= 2:02 PM
Therefore, at 2:02 PM the two vehicles pass each other.
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(3x + 4) + (5x - 6) add or subtract horizontally
Answer:
[tex](3x+4)(5x−6)\\ 3x+4+5x−6\\\\3x+4+5x−6 \\3x−2+5x\\\\3x−2+5x\\8x−2\\\\8x−2[/tex]
Step-by-step explanation: all the a's are minuses
5.
a. Are triangles ABC and DEF similar?
Show or explain your reasoning.
Yes, the triangles are similar to each other by AA rule and EF = 8.
What is similarity in triangles?When two triangles have congruent corresponding angles and corresponding sides in equal ratio, then they are said to be similar.
Given are the triangles, Δ ABC and Δ DEF,
In Δ ABC,
∠A + ∠B + ∠C = 180°
∠B = 180°- (60°+20°)
∠B = 100°
In Δ DEF,
∠D + ∠E + ∠F = 180°
∠F = 180° - (60°+100°)
∠F = 20°
∠A ≅ ∠D
∠B ≅ ∠E
∠C ≅ ∠F
We see, all the corresponding angles are congruent.
Therefore, according to definition of similar triangles Δ ABC ~ Δ DEF,
And,
AB/DE = BC/EF = AC/DF = 3/4
BC/EF = 3/4
6/EF = 3/4
EF = 8
Hence, the triangles are similar to each other by AA rule and EF = 8.
For more references on similarity in triangles, click;
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Rachna has nickels, dimes, and quarters in her piggy bank. She has $4.65 altogether. She has three more quarters than dimes and twice as many nickels as quarters. How many quarters does Rachna have?
8
11
22
41
Answer: 11
Step-by-step explanation: gimme brainliest pleaseeeeeeeeeee
Answer:
B on edge
Step-by-step explanation:
just got it correct
Pranav ate pizza for dinner on Monday night and had 2/3 of the pizza left over. On Tuesday night, he ate 1/2 of what was left. How much pizza did Pranav eat on Tuesday?
Answer: 1/3
Step-by-step explanation:
From the question, we are informed that Pranav ate pizza for dinner on Monday night and had 2/3 of the pizza left over. We are further told that on Tuesday night, he ate 1/2 of what was left.
The amount of pizza that Pranav ate on Tuesday will be:
= 1/2 × 2/3
= 1/3
She ate 1/3 on Tuesday
The system of equations has
options are
1. no solution
2. one solution
3. infinitely many solutions
Answer: no solution
Step-by-step explanation: after simplifying they are parallel which means they have no solutions
suppose the point B(2,8) is reflected across the x- axis and then translated according to the rule (x,y)→(y,x+4) what are the coordinates of B? show your work and explain
Answer:
-8,6..............
Step-by-step explanation:
2,8
reflection
2,-8
flip
-8,2
x+4
-8,6
25 times 10*6 in normal form
The formula to convert Celsius to Fahrenheit is FC +32. Convert 87°F to
Celsius. Round to the nearest degree.
Answer:
31°
Step-by-step explanation:
To convert Fahrenheit to Celsius is C= (F-32) * 5/9
So first do parenthesis 87-32= 55
Next multiply that number by 5/9 which is 30.55555555
Then round your answer = 31°
A rectangular park is 100 meters long and 70 meters wide. Give the length and width of another rectangular park that has the same perimeter but a smaller area.
width=
length=
Answer: width- 60
Length- 120
Step-by-step explanation:
-2(x - 2) = -3 - 21 I need help with that question, I've been trying to solve it for hours but i cant find the answer
Answer:
x = 14
Step-by-step explanation:
you would first distribute the -2 with x - 2, which should give you -2x + 4, and you want to do the -3 - 21, which would give you -24, then subtract 4 from -2x + 4, then you should have -2x = -28, then divide it by -2, which should give you x = 14
Answer:
x = 14
Step-by-step explanation:
In this problem, we must isolate x
Given: -2(x - 2) = - 3 - 21Simplify the right side: -2(x - 2)= - 24Distribute the -2 to x and -2 (multiply): -2x + 4 = -24Subtract 4 from both sides: -2x = -28Divide both sides by -2: x = 14What is the area of rectangle ABCD?
coordinate plane with rectangle ABCD at A 0 comma 2, B 0 comma 4, C 4 comma 4, and D 4 comma 2
4 square units
8 square units
12 square units
16 square units
Answer:
8 square units
Step-by-step explanation:
if you graph it...
length: 4
width: 2
4 * 2 = 8
Answer:
Step-by-step explanation:
1. Gabriel has a candy box containing 9 chocolates candies and 12 lollipops. If he choose 2 of them at random.
a) What is the probability that he gets 2 lollipops?
b) What is the probability that he gets 2 chocolates?
c) What is the probability that he gets at least 1 lollipop and 1 chocolate?
Question :
Gabriel has a candy box containing 9 chocolates candies and 12 lollipops. If he choose 2 of them at random.
a) What is the probability that he gets 2 lollipops?
b) What is the probability that he gets 2 chocolates?
c) What is the probability that he gets at least 1 lollipop and 1 chocolate?
Answer:
First we need to calculate the total no. of items. In this case it is the no. of chocolate candies + the no. of lollipops which is, 9 + 12 = 21.
Now we can solve the questions.
a) P (2 lollipops) = 2/21.
b) P (2 chocolates) = 2/21.
c) P (at least 1 lollipop & 1 chocolate) = 2/21.
Note : P(x) is read as probability of getting x is....
Answer:
A)21/2
b)21/2
3)21/2
Step-by-step explanation:
How is commission calculated?
Answer:
just take sale price, multiply it by the commission percentage, divide it by 100. then you should get it
Step-by-step explanation:
Answer/Step-by-step explanation
To find the commission on a sale, multiply the rate of commission by the total sales A commission is a percentage of total sales as determined by the rate of commission. Just as we did for computing sales tax, remember to first convert the rate of commission from a percent to a decimal.
Two sides of a rectangle are both 4 inches. If the
perimeter is 30 inches, write and solve a two-step
equation to find the missing lengths. Help
Answer: 2(4)+2b=30 /missing lenght=11
Step-by-step explanation: We know the equation of a rectangle is 2a+2b=perimeter "a" and "b" both represent a side length
2(4)+2b=30 <--- Plug in the know side lenght
8+2b=30
8(-8)+2b=30(-8) <--- Subtract "8" from both sides to further solve
2b=22
2b/2=22/2 <--- Divide each side by "2"
b=11
A net of a rectangular pyramid is shown. The rectangular base has length 26 cm and width 24 cm. The net of the pyramid
has length 74.8 cm and width 71.8 cm. Find the surface area of the pyramid.
The surface area is
cm2 help
Answer:
kk
Step-by-step explanation:
no pic
Identify the independent variable shown on the graph.
Answer:
IF i slove can i get brainlet
Step-by-step explanation:
respuesta
[tex]( + 2) ^{5} [/tex]
Polygon C has an area of 40 square units. Kennan drew a scaled version of Polygon C using a scale factor of \dfrac12 2 1 start fraction, 1, divided by, 2, end fraction and labeled it Polygon D.
Answer:
The answer is "[tex]10 \ units^2[/tex]"
Step-by-step explanation:
Given:
[tex]C= \frac{1}{2}\\\\A_C= 40\\\\A_D= ?\\[/tex]
The factor of scale (c) is the ratio of the two polygons, and the area ratio is the scale factor square.
Formula:
[tex]\frac{A_D}{A_C} =C^2[/tex]
[tex]A_D = \frac{40}{4}\\\\A_D= 10[/tex]
Need help! Thank you!
Answer:
[tex] \frac{ \sqrt{10} }{5} [/tex]
or .632
Step-by-step explanation:
You have the beginning right.
However, it is X squared, so once you have the answer from adding the two fractions together, you have to Square Root that answer.
Answer:
x= √(10/25)
Step-by-step explanation:
From what you've written, you're on the right track. The formula is a^2+b^2=c^2. our two sides are a and b (doesn't really matter here which is which). And the hypotenuse, the longest leg the diagonal, is always c. Based on your substitution, everything is correct, except x. x should be squared. so the equation you should have is (1/5)^2 + (3/5)^2=x^2. From there, solve for x by adding a^2 and b^2 to get 10/25 = x^2.
Take the square root of each side to find √(10/25)=√(x^2). This is simplified as x equals plus or minus √(10/25). it's plus or minus because you took the square root. It's important to write that when solving square root. However, since this is a triangle your answer will be positive(you can't have negative distance).
HELPPPP I DONT HAVE MUCH TIME the question is what is the rate of change of the function?
Answer:
2
Step-by-step explanation:
Answer:
½ is the answer
:):):):):):)
Heyyyyyyyyyyyyyyyyyyyyyyyyyy
Answer:
hiiiiii girlyyy
Step-by-step explanation:
i think the answer is
a/b like a divided by b is the answer
cuz 8 ÷ 3 = 2.7
and 24 ÷ 9 = 2.7
and 40 ÷ 15 = 2.7
so maybe like
b · 2.7 = a
hope this helpsss
Answer:
well on side A, it starts off on 8 (as you can see) and adds 16, which gives you 24, then add another 16 and that gives you 40. Then on side B, it starts with 3, adds 6 which gives you 6, then add another 6 and you'll have 15.
Step-by-step explanation:
Two fifth grade classes are attending an amusement park as a field trip. Their teachers
purchased the tickets for the class and the parent chaperones. Mrs. Huffman purchased 25
child tickets and 30 adult tickets, which cost a total of $1,115. Mr. Snyder purchased 25 child
tickets and 2 adult tickets, paying a total of $471. What are the ticket prices?
The price of a child ticket is $
and the price of an adult ticket is $
Answer:
Price of child ticket: 17.
Price of adult ticket: 23
Step-by-step explanation:
25 times 17 equals 425.
1,115 minus 425 equals 690.
690 divided by 30 is 23.
425 plus the 2 adult tickets (23 plus 23 which is 46) would be 471, therefore 17 per child ticket and 23 per adult.
For a group of objects made of the same material, the weight of an object varies directly with its volume. If an object has a volume of 20 cubic inches and weighs 28 ounces, what is the constant of variation?
Answer: 7/5
Step-by-step explanation:
Mr. Hudkins wants his 6th grade math class to memorize their multiplication facts. He decides to increase the number of facts they are expected to memorize each week and creates the following table.
Usingw = number of weeks and m = number of multiplication facts, which of the following equations is represented by the table Mr. Hudkins created?
A
m = 30 × 2w
B
m = 15 + w
C
w = 15m
D
m = 15w
Answer: m = 15w
Step-by-step explanation: The reason why the answer is m = 15w is because since he said "He decides to increase the number of facts they are expected to memorize each week." Which makes it so that only the multiplication fact increased to 15 since they wouldn't put it lower then that. And there is a 2nd reason why the multiplication fact is 15. the reason why is because theres only one answer with 30 and its completely wrong. So therefore,, The answer is Multiplication Fact = 15weeks.
Answer:
m = 15w
Step-by-step explanation:
Is the relation a function?? Plzz helppp!!!
(1,19) , (2,23) , (3,23) , (4,29) , (5,31)
Find f(-3) for f(x)=3x^2+5x-14
Answer:
-2
Step-by-step explanation:
f(x)=3x^2+5x-14
f(-3)=3(-3)^2+5(-3)-14
f(-3)=3(-3)(-3)-15-14
f(-3)=3(9)-29
f(-3)=27-29
f(-3)=-2
Answer:
-2
Step-by-step explanation:
What are the scale factor and center of the dilation?
Answer:
Step-by-step explanation:
What is the solution to this equation? x-12=36?
A. 3
B. 36
C. 24
D. 8
I will make you Brainliest. Pls answer fast I'm in a test.
Simplifying x + -12 = 36 Reorder the terms: -12 + x = 36 Solving -12 + x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + x = 36 + 12 Combine like terms: -12 + 12 = 0 0 + x = 36 + 12 x = 36 + 12 Combine like terms: 36 + 12 = 48 x = 48 Simplifying x = 48
Answer:
that doesn't make sense but its 48
Step-by-step explanation:
What is the circumcenter
The circumcenter is the center of a triangle's circumcircle. It can be found as the intersection of the perpendicular bisectors.
Please help me! It’s due in few hours.
Give the coordinates of the Image if the pre-image △ JKL is dilated by 3/2.
Answer:
J'(3, 6), K'(1.5, 1.5), L'(6, 0)Step-by-step explanation:
△ JKL is dilated by 3/2
This transformation will result in the coordinates:
(x, y) → (3/2x, 3/2y)Apply the rule:
J(2, 4) → J'(3/2*2 = 3, 3/2*4= 6) = (3, 6)K(1, 1) → K'(3/2*1 = 1.5, 3/2*1 = 1.5) = (1.5, 1.5)L(4, 0) → L'(3/2*4 = 6, 3/2*0 = 0) = (6, 0)