Step-by-step explanation:
my answer is in the image above
PLEASE ANSWER ASAP!!! FULL ANSWERS ONLY!!!!!! WILL GIVE BRAINLIEST!!!!!!!!!
Two cyclists, 68 miles apart, start riding toward each other at the same time. One cycles 3 miles per hour faster than the other, and they meet after 4 hours of riding.
a. Write an equation using the information as it is given above that can be solved to answer this problem. Use the variable r to represent the speed of the slower cyclist.
b. What are the speeds of the two cyclists? _______________
Answer:
4r + 4(r + 3) = 68
r = 7 miles per hour
r + 3 = 10 miles per hour
Step-by-step explanation:
distance = rate * time
a)
4r + 4(r + 3) = 68
Distribute
4r + 4r + 12 = 68
8r + 12 = 68
8r = 56
r = 7 miles per hour
r + 3 = 10 miles per hour
a) The given equation using the information as it is given above that can be solved to answer this problem is 4r + 4(r+3) = 68
b) The speed of both cyclists are 3mi/hr and 10mi/hr respectively
The formula for calculating the distance covered is expressed as:
Distance = speed * time
Let the speed covered by one cyclist be t
If one cycles 3 miles per hour faster than the other, the speed of the other will be t + 3
If both meet after 4 hours of riding, then their time will be 4 hours
Distance covered the first cyclist = 4r
Distance covered by the second = 4(r+3)
If the two cyclists are 68 miles apart, then:
4r + 4(r+3) = 68
a) The given equation using the information as it is given above that can be solved to answer this problem is 4r + 4(r+3) = 68
b) Expand the equation in a to get "r"
4r + 4r + 12 = 68
8r + 12 = 68
8r = 68 - 12
8r = 56
r = 56/8
r = 7miles per hour
Speed of the first cyclist = 7mi/hr
Speed of the second cyclist = 3 + 7mi/hr = 10mi/hr
Hence the speed of both cyclists are 3mi/hr and 10mi/hr respectively
Learn more here: https://brainly.com/question/19915685
Can u help me on this plzz
(x – y)(x2 – 3y – 5)
HELPPP I NEED THIS ASAP!!!! What is the next step in the proof? Chose the most logical approach
Umm can someone help me lol
Answer:
Answer is C
Step-by-step explanation:
A rectangle has a width of 9 units and a length of 40 units. What is the length of a diagonal?
31 units
39 units
41 units
49 units
Answer:
C or 41 units
Step-by-step explanation:
Just took the test !
What is the center of the circle (x+7)^2+(y+4)^2=25
9514 1404 393
Answer:
(-7, -4)
Step-by-step explanation:
Compare the given equation to the standard form equation for a circle with center (h, k) and radius r.
(x -h)^2 +(y -k)^2 = r^2
You see that ...
-h = +7 ⇒ h = -7
-k = +4 ⇒ k = -4
Then the center is ...
(h, k) = (-7, -4)
__
The radius is ...
r^2 = 25 ⇒ r = √25 = 5 . . . radius of the circle
BRAINLIEST if correct
The Butlers bought a $332,000 house. They made a down payment of 42,000 and took out a mortgage for the rest. Over the course of 15 years they made monthly payments of $2,447.19 on their mortgage until it was paid off.
(a) What was the total amount they ended up paying for the house (including the down payment and monthly payments)?
(b) How much interest did they pay on the mortgage?
Answer:
Step-by-step explanation:
(a)Mortgage = 332000 - 42000 = 290000
15 * 12 = 180 months
Total monthly payments = 180 * 2447.19 =440494.2
Total = 440494.2 + 42000 = 482494.2
(b) Interest = 482494.2 -290000
= 192494.2
Answer:
a) 482,494.20
b) I'm not sure
Step-by-step explanation:
Juanita is decorating for a birthday party. She buys more than 30 balloons and attaches 6 of them to the chair for the birthday girl. She also wants to attach balloons to each of the 4 tables, with the same number of balloons at each table. If n represents the number of balloons at each table, this situation can be represented by the inequality 6 + 4n > 30. What does the solution to this inequality represent? A. She must attach fewer than 6 balloons to each table. B. She can attach more than 6 balloons to each table. C. She must attach fewer than 9 balloons to each table. D. She can attach more than 9 balloons to each table
Which situation would be represented with the integer -72? Select all that apply.
A hike of 72 feet.
A gain of 72 yards, but a loss of 72 yards, ending back at 0.
A withdrawal of 72 dollars.
A height of 72 inches.
A depth of 72 feet.
HELP THIS IS THE LAST TEST OF THE YEAR PLZ HELPP QUICK!!
Answer:
A withdrawal of 72 dollars & E) a depth of 72 feet
Step-by-step explanation:
It is negative, which means subtract. So we will take away 72 dollars.
A depth of 72 feet is also negative since we are going down.
Can someone help me? Step by step, no links. Will give brainliest to the right answer
answer???
please help
Answer:
150°
Step-by-step explanation:
M = 58° + 92° (ext angles of a triangle)
M= 150°
Answer:
92+58=1
1=150
measure of angle1 is 150
(5x20)+(8x10) PLEASE HELP
Answer:
180
Step-by-step explanation:
5*20 is 100. 10 *8 is 80. then you add
Find (f o g)(0) *serious answers only*
Someone please help
Correct Work
4x+8 +3(x-4)
4x +8 + 3x-12
4x+3x+8 -12
7x -4
Mistake Made
3 wasn't multiplied by the 4 in the bracketLike terms wasn't combined in the working out The answer was supposed to be -4, 8-4= -4what is the complement of 37 .5
Answer:
62.5
Step-by-step explanation:
37.5+62.5=90 a complementary angle
Select the correct answer from each drop-down menu. In the coming year, a vehicle manufacturer has decided to manufacture 150 vehicles per day. The function v = 150d represents the company’s production for the coming year, v, with respect to the number of days, d. The rate of change of the function representing the number of vehicles manufactured for the coming year is , and its graph is a . So, the function is a function.
Answer:
Given:
v = 150d
v represents company's production for the coming year
d represents the number of days
150 is the daily production
The rate of change of the function representing the number of vehicles manufactured for the coming year is CONSTANT (150) , and its graph is a STRAIGHT LINE . So, the function is a LINEAR function.
Step-by-step explanation:
9. If the range of the data 11, 13, 15, 8, 7, m, 9, 20, 33, 30, 18, 19, 16, 32, 12, 8 is 28, then m cannot be (A) 5 (B) 35 (C) 33 (D) greater than 30
List three fractions that are equivalent to 1
Answer:
6/6 2 times 4/8 and 2/2
Step-by-step explanation:
Trình bày một số ứng dụng của công thức cộng , công thức nhân trong ghép nối các thiết bị để tăng độ tin cậy trong hệ thống
Answer:
ano po pakitagalog Po pls Hindi ko po kasi maintindihan
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 40 gal : 64 gal (IN THE PICTURE)
Answer:
5/8
Step-by-step explanation:
The ratio 40:64 can be written as a fraction, 40/64.
Next, simplify to get 5/8.
Hope this helps!
Which equation represents the solution of the linear equation - 4x + 5 = 9?
A. x = 4
B. x = 1
C. x = -1
D. x = -4
7.find the equation of a circle with one of the diameters x+2y+8=0and passing through the intersection of a circle x²+y²+2=0 and x²+y²-3y=0.
ans:
[tex]\bold=4x²+4y²+22x+21y=0.}[/tex]
Answer:
See belowStep-by-step explanation:
Find the intersection of circles
x² + y² + 2x = 0 and x² + y² - 3y = 0Subtract the equations to find:
2x = -3y ⇒ y = -2/3xBy substitution find the points:
(0, 0) and (-1.385, 0.923)Find midpoint between these two points:
x = (0- 1.385)/2 = -0.6925 , y = (0 + 0.923)/2 = 0.4615Find perpendicular bisector passing through this point:
y - 0.4615 = 3/2(x + 0.6925)y = 1.5x + 0.4615 + 1.5(0.6925)y = 1.5x + 1.50025Find intersection of the lines, it is the center:
y = 1.5x + 1.50025x + 2y + 8 = 0Solving we get:
x = -2,75, y = -2.625Find radius, the distance from center to point (0, 0) and get equation of circle:
(x + 2.75)² + (y + 2.625)² = (0 + 2.75)² + (0 + 2.625)²x² + 5.5x + y² + 5.25y = 04x² + 22x + y² + 21y = 04x² + 4y² + 22x + 21y = 0Answer:
Answer is in the picture
help- pleasee brainilist - -3/7 divided by 1/2
Answer:
6/7
Step-by-step explanation:
I reduced the expression by cancelling the common factors
Can y’all help me on question 31?!
Answer:
D
Step-by-step explanation:
Area of 1 surface=1×16=16 square units
hence, 16×6=96 square units
C 63
A 37
B 59
The triangle shown above is possible.
A. True
B. False
Answer:
B. false
because the sum of interior angles of a triangle is 180°
this one is 63+37+59=159
please help me pleaseee!!
Answer:
AOB = 65
DOE = 35
AOC = 90
EOB = 115
DOB = 80
I need help ASAP Please
Answer:
49
Step-by-step explanation:
working is attached
if its wrong don't flame me im just a random girl on this app
Mr. Brown has 20 students in his English 6 class. There are 15 boys and 5 girls. If he puts all their names in a hat and draws out one, what is the probability of
drawing a boy's name?
Fraction: type your answer...
Decimal: type your answer..
Percent: type your answer.
Answer:
Divide
Step-by-step explanation: