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.
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
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
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?
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:
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
7( x-2) -3(x+3) = 5(x-3) + x
Answer:
-4
Step-by-step explanation:
ig i was right the first time
Can someone help me please ???
Answer:
the answer is x= 10/3 sooo C!!!
hope this helps!!
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:
Help please, hurry
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
help me answer this slope problem (10 points)
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
Find the value of x using segment addition below.
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.
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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:
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.
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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
What is 2/3 divided by 1/6
O 2
O 3
O4
O 6
(-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:
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.
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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.
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:
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
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
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...
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-
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
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.
PLEASE SOMBODY HELP ME I WILL GIVE BRAINLY IF YOU ARE CORRECT 10 POINTS