Answer:
The total distance he drove is 350 miles, with an average speed of 46.67 miles/hour.
Step-by-step explanation:
Let [tex]t_1[/tex] and [tex]t_2[/tex] be the time of driving at a slower rate and at a faster rate respectively.
Given that the total distance = d
The speed for the first 150 miles = 60 miles/hour.
So, [tex]150=60\times t_1[/tex] [ as distance = speed x time]
[tex]\Rightarrow t_1=2.5[/tex] hours.
The remaining distance [tex]= d-150[/tex] miles.
Speed for the remaining distance = 60 miles/hour.
As the time he spent driving at the faster speed was twice the time he spent driving at the slower speed,
So, the time of driving at a faster rate, [tex]t_2 = 2t_1=2\times2.5=5[/tex] hours
So, [tex]d-150=60\times t_2[/tex] [ as distance = speed x time]
[tex]\Rightarrow d-150=20\times 5=100[/tex]
[tex]\Rightarrow d = 100+150=350[/tex] miles.
The average speed of the journey = (Total distance)/(Total time taken )
[tex]=d/(t_1+t_2)[/tex]
=350/(2.5+5)
=350/7.5
=46.67 miles/hour.
Hence, the total distance he drove is 350 miles, with an average speed of 46.67 miles/hour.
7( x-2) -3(x+3) = 5(x-3) + x
Answer:
-4
Step-by-step explanation:
ig i was right the first time
The larger of two numbers is 17 more than two times the smaller number. If the
sum of the two numbers is 71, find the numbers. * i need help asap pleaseeee!!!! 20 points
Answer:
27 and 44
Step-by-step explanation:
Increasing 20 to 40 is the same as increasing 20 by
. So, it is a 100% increase. Decreasing 40 to 20 is the same as decreasing 40 by one-half of
. So, it is a 50% decrease.
Answer:
whats the question?
Find the value of x using segment addition below.
(-5,4) and (1,6)
y-6 =? plz help me
Answer:
(-5,4) and (1,6) are cordanites on a graph 1st square is ++ 2nd is +- 3rd is -- and 4th is -+
Step-by-step explanation:
help me answer this slope problem (10 points)
How many solutions does the following equation have? -7x + 3 = 2x + 2 - 9x *
1 point
No solution
One solution x = 5
Infinite solutions
One solution x = 7
Answer:
no solutions because you would get an outcome of a not real world problem
A shopper uses a department-store gift cared to pay for 3 sweaters priced at $27. What is the change in the value of the gift card?
Answer:
$81
Step-by-step explanation:
27+27+27=$81
An object with a mass of 5.2 kg is dropped from a bridge. Using the force equation what will the force of the rock be when it hits the ground. Acceleration of Gravity is 9.81 m/s2
Answer:
[tex]f = mg = 5.2 \times 9.81 = 51.012 \: newtons[/tex]
Force of the rock be when it hits the ground is [tex]51.012[/tex] Newton.
What is a force?Force is an external agent capable of changing the state of rest or motion of a particular body. It has a magnitude and a direction.
Given
An object with a mass of 5.2 kg is dropped from a bridge.
Acceleration of Gravity is 9.81 [tex]m/s^{2}[/tex]
Force equation what will the force of the rock be when it hits the ground
F = mg
F = [tex]5.2\times9.81[/tex]
F = [tex]51.012[/tex] Newton
Force of the rock be when it hits the ground is [tex]51.012[/tex] Newton.
Find out more information about force here
https://brainly.com/question/13191643
#SPJ2
Which of the following is an example of a rational number that is not an integer?
4 , 0 , 1/5
Answer:
4
Step-by-step explanation:
What is 2/3 divided by 1/6
O 2
O 3
O4
O 6
Paul is making a ball-toss game for his club booth at the fair. He wants to make the circumference of the holes at least 3 inches greater but not more than 4 inches greater than the circumference of the ball. One person suggests that Paul can make the diameter of the hole 1 inch greater than that of the ball. Another suggests the diameter should be 2inches greater. Which suggestion should Paul choose? Explain
Answer:
Paul can make the diameter of the hole 1 inch greater than that of the ballStep-by-step explanation:
we are going to assume a diameter of the hole has 6in
the radius of the ball is 3in
we looking at a range of the hole greater by (3<4)
we know that the circumference of a circle is given as
the circumference of the ball is
C=2πr
C=2*3.142*3
C=18.85in
The circumference of the hole is ( 1 inch greater )
C=2πr
say the diameter is 6in plus 1in = 7in
the radius =3.5in
C=2*3.142*3.5
C=21.99
compare with the ball the difference is 21.99-18.85
=3.14 which is in the range
The circumference of the hole is ( 2inches greater. )
C=2πr
say the diameter is 6in plus 2in = 8in
the radius =4in
C=2*3.142*4
C=25.13in
compare with the ball the difference is 25.13-18.85
=6.28 which is out of the range
3x-11+6x-10+x=180
For this question I got 17.7 is that correct
Answer:
Your answer is correct
Identify the x and y intercepts 10x+4y=-20
Answer:
(-2,0) and (0,-5) on the graph for the interprets x and y.
Note: I need points lol, pls put thanks and vote your stars for me! Thx!
The required x and y-intercept of the given equation is x = -2 and y = -5.
Given that,
An equation of the linear function is given 10x + 4y =-20, x and y-intercept of the function are to be determined.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
Given a linear function,
10x + 4y = -20
In order to get the values of the intercept we have to put x and y to zero individually,
First, for x-intercept y = 0
10x + 4(0) = -20
10x=-20
x = -2
Second for y-intercept x = 0
10(0) + 4y = -20
y = -5
Thus, the required x and y-intercept of the given equation is x = -2 and y = -5.
learn more about function here:
brainly.com/question/21145944
#SPJ3
Select the correct texts in the passage (see picture)
Answer:
Step 2 was the first mistake and the second option is the answer.
Step-by-step explanation:
Julia incorrectly factored the -1 from the second group of terms.
The correct option is (B)
What is expression?An expression is a sentence with a minimum of two numbers or variables and at least one math operation.
Given:
2x^4 + 2x³ -x²-x
While solving the above expression in the third step
x(2x²(x+1)) - 1(x-1)
should be
x(2x²(x+1)) - 1(x + 1)
Hence, Julia incorrectly factored the -1 from the second group of terms.
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ2
Sally's soccer team played 25 games and won 17 of them. What percent did the team win
Answer:
68%
Step-by-step explanation:
Answer:
Sally's soccer team won 68% of the games they played.
Help please, hurry
How many total cups of orange paint will this mixture yield?
Answer:
At least 6 but are there answer choices or at least a picture of the mixture
~ Zachary
Bianca deposits $3000 in a savings account earning 4.25% simple interest per year. How much interest will Bianca earn for a period of 5 years?
Answer:
$637.50
step by step explanation :
P = $3000
t= 5years
r = 4.25% per annum
Interest = (p×r×t)/100
= (3000×4.25×5)/100
= $637.50
Answer:
uhhhhhhh anywun know ze answer?
Step-by-step explanation:
The perimeter if a rectangle is 84 inches. The length is 12 inches less than twice the width. Find the length and width of the rectangle.
Answer:
Length= 7 Width=2
Step-by-step explanation:
What multiplies to be a 20 and adds to be a -21?
Answer:
-20 & -1
Step-by-step explanation:
-20+-1=-21
-20*-1=20
Express the following equation in slope-Intercept form: 8x + 11y= Select the best answer from the choices provided. ОА. 18 OB. 8 x + -10 oc. 11 x + 12.45 8 OD 8
Answer: 18 OB. 8 x + -10 oc. 11 x + 12.45 8 OD= 8
Step-by-step explanation: It is simple math-
Rita just bought a car for 15,000. She paid 20% down and borrowed the remainder at an annual interest rate of 9.0%. The loan will be repaid over four years with monthly payments of $298.62. How much is rita's down payment and how much did she borrow?
Answer:
Rita's down payment is $3000 and she borrowed $12000.
Step-by-step explanation:
The cost of the car is $15000.
Given that she paid 20% down and borrowed the remainder.
So, Rita's down payment= 20% of $15000
[tex]=\frac{20}{100}\times 15000[/tex]
= $3000
As she borrowed the remainder cost, so,
the borrowed amount = 15000-3000
= $12000
Hence, Rita's down payment is $3000 and she borrowed $12000.
charlie buys a 2 metre length of wood. he wasted 6 cm. what percentage did he wasted
Answer:
3%
Step-by-step explanation:
2 meter = 200cm
6cm/200cm = 3/100
3/100 x 100 = 3%
Hope this helps...
PLEASE SOMBODY HELP ME I WILL GIVE BRAINLY IF YOU ARE CORRECT 10 POINTS
11. Given: 17 - 3(w + 5) = 6(w + 5) - 2w;
Prove: w = -4
Statements
Reasons
11.17-3(3+5)=6(W+5)-2W
2.17-30-15= 60 +30 -2W
3.-3W +2 = 4W+30
4. -7W +2=30
5. -W=28
1. W= -4
Answer:
Step-by-step explanation:
Statements Reasons
1). 17 - 3(w + 5) = 6(w + 5) - 2w 1). Given
2). 17 - 3w - 15 = 6w + 30 - 2w 2). Distributive property
3). -3w + 2 = 4w + 30 3). Addition property of equality
4). -7w + 2 = 30 4). Subtraction property of equality
5). -7w = 28 5). Subtraction property of equality
6). w = -4 6). Division property of equality
What is a number x divided by -9 is -16 no
Answer: x = -144
Step-by-step explanation:
x/9 = -16
9*(x/9) = (-16)*9
x = -144
Which set of line segments could create a right triangle? (4 points) 1) 24, 30. 35 2) 12. 18. 30 03) 18. 24. 30 4) 18. 24, 35
Answer:
Its 18,24,30
Step-by-step explanation:
I had the same question and this was the answer.Plus if you do the math this is the only one that equals c^2
Can someone help me please ???
Answer:
the answer is x= 10/3 sooo C!!!
hope this helps!!
Step-by-step explanation:
If a turtle walks 24 meters in 30 minutes, about how many minutes will it take the turtle to walk 36 meters?
30/24= 1.25m per min
= 1.25×36= 45 minutes