Answer: d. 2 hrs
Step-by-step explanation:
Let x = Time taken(in hours) to fly 470 mi to New Orleans. (Shorter leg)
Then Time taken to fly 705 mi to Atlanta= x+1 (longer leg)
Since the plane flew at the same rate for the entire trip.
i.e. Speed 705 mi to Atlanta = Speed to fly to New orleans
[tex]\Rightarrow\ \dfrac{705}{x+1}=\dfrac{470}{x}\ \ \ \ \ \ \ [\text{Speed}=\dfrac{\text{Distance}}{\text{Time}}]\\\\\Rightarrow\ 705x=470(x+1)\\\\\Rightarrow\ 705x=470x+470\\\\\Rightarrow\ 705x-470x=470 \\\\\Rightarrow\ 235x=470\\\\\Rightarrow\ x=\dfrac{470}{235} \\\\\Rightarrow\ x=2[/tex]
hence, the flying time for the shorter leg = 2 hours
So (d) is the correct option.
Melanie rides her bike. The circumference of her bike tire is 2.8 m, and the tire revolves 1.5 times per second. What is the distance Melanie rides in 100 seconds?
Answer:
420 m
Step-by-step explanation:
The distance travelled in 1 second:
2.8 m * 1.5 revolves
= 2.8 * 1.5
= 4.2 m
Distance travelled in 100 seconds:
4.2 m * 100
= 420 m
Hope this helped!
Charly has a square carpet with the dimensions 10 by 97 inches what is the area?
Answer:
A = 970 inches²
Step-by-step explanation:
If Charly has a 'square' carpet of 10 by 97, then its not square but rectangular, with that in mind;
A = L x W
A = 10 x 97
A = 970 inches²
Hope this helps :)
Answer:
970 inches
Step-by-step explanation:
10x97=970
Length x Width = Area
Select all equations that have two solutions. a x^2=16 b 4x^2=0 c x^2=-16 d 3x+2=14 e x^2-1=24 f (x+8)(x-8)=0
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a )
[tex] {x}^{2} = 16[/tex]
[tex]x = ± \: 4[/tex]
Two solutions.
_________________________________
b )
[tex]4 {x}^{2} = 0[/tex]
[tex]x = 0[/tex]
One solution .
_________________________________
c )
[tex] {x}^{2} = - 16[/tex]
[tex]No \: \: solution.[/tex]
_________________________________
d )
[tex]3x + 2 = 14[/tex]
[tex]x = 4[/tex]
One solution.
_________________________________
e )
[tex] {x}^{2} - 1 = 24[/tex]
[tex] {x}^{2} = 25[/tex]
[tex]x =± \: 5[/tex]
Two solutions.
_________________________________
f )
[tex](x + 8)(x - 8) = 0[/tex]
[tex]x = - 8 \: \: or \: \: x = 8[/tex]
Two solutions .
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Except from the option(c), all equations have 2 solutions.
What is an equation?"An equation is a formula that expresses the equality of two expressions, by connecting them with the equal sign"
Given equations are:
a. x² = 16
This is a quadratic equation. This equation has two solutions.
b. 4x² = 0
This is a quadratic equation. This equation has two solutions.
c. x² = - 16
This equation doesn't have any solution.
d. 3x + 2 = 14
This is a quadratic equation. This equation has two solutions.
e. x² - 1 = 24
This is a quadratic equation. This equation has two solutions.
f. (x + 8)(x - 8) = 0
This is a quadratic equation. This equation has two solutions.
Learn more about equations here: https://brainly.com/question/14584746
#SPJ2
Please help, points and brainiest, Thank you!!
Answer:
51 litres.
Step-by-step explanation:
68 / 4 = 17
3/4 of a tank needed to be full.
3 x 17 = 51
Two sides of a triangle are 26 meters and 15 meters. What is the smallest the third side can be?
A) 13 meters
B) 15 meters
C) 11 meters
D) 9 meters
Answer:
d
Step-by-step explanation:
i think its bc all the side are getting smaller and smaller
help please
25 + 2v = 47, v = ?
Answer:
11
Step-by-step explanation:
2v = 47-25
2v = 22
v = 11
What is the mean?
3 0 4 7 0 4 5 3 6 8
Step-by-step explanation:
3+0+4+7+0+4+5+3+6+8/10
40/10
4
Answer:
The mean is 4.
Step-by-step explanation:
When you add 3+0+4+7+0+4+5+3+6+8 you get 40 and because there are 10 numbers you would divide 40 by 10 and get 4.
Mean-the average of all of the numbers in a data set...to find the mean you simply add all of the given numbers together and then divide that sum by the total amount of numbers given, then you will get your mean.
HOPE THIS HELPS!!!!!!!
Zoe bought 11 chicken wings for $20.90. What's the unit cost of one wing?
Answer:
$1.90
Step-by-step explanation:
PLEASE HELP ASAP!!
Solve the equation below.
A. 196
B. 198
C. 243
D. 248
Answer:
196
Step-by-step explanation:
I calculated it with my calculator
Will Give Brainliest! WHAT Additional Congruence statement is needed to prove the triangles are congruent by SAS?
Answer:
C. ∠1 ≅ ∠2
Step-by-step explanation:
SAS postulate says that because 2 sides and an angle are congruent in 2 triangles, both triangles are congruent.
Solve 3x2 + 4x = 2. ??
Answer: Answer: The answer should be x = -1. Hope this helps!
Aaron, Darren, Karen, Maren, and Sharon rode on a small train that has five cars that seat one person each. Maren sat in the last car. Aaron sat directly behind Sharon. Darren sat in one of the cars in front of Aaron. At least one person sat between Karen and Darren. Who sat in the middle car?
Answer:
Sharon
Step-by-step explanation:
The given parameters are;
The number of persons that rode on the small train = 5
The number of cars in the train = 5
The position Maren sat = Last car
The position Aaron sat = Directly behind Sharon
The position Darren sat = In one of the cars in front of Aaron
The position of one of the members = Between Karen and Darren
The given seating arrangement is as follows;
Maren → Aaron → Sharon → Darren → Karen
Therefore, the person who sat in the middle car is Sharon.
Please help me look at the photo
Answer:
I think the answers are E = 4 ¼ F = -6 ¼ D = -3 ¼
How many solutions does the following equation have? − 4 ( x + 5 ) = − 4 x − 20 −4(x+5)=−4x−2
Answer:
-4x - 20= -4x - 20
Step-by-step explanation:
Multiply -4 and x and -4 and 5. It has infinite solutions
x to the third power = 1 over 8
Answer:
1/2
Step-by-step explanation:
x^3=1/8.
We know 2^3(2*2*2)=8. So 1/2*1/2*1/2=1/8.
Simplify: (0.24 × 14.3) ÷ 5.2
1. Simplify 0.24 x 14.3 to 3.432.
= 3.432 ÷ 5.2
2. Simplify 3.432 ÷ 5.2 to 0.66.
= 0.66
Due to a bad crop year, the cost of cherries is projected to increase 133% this year. A pound of cherries currently costs $2.16. What can you expect the new price per pound to be?
what is the equation of the line in slope intercept form
Answer:
y=x-70
Step-by-step explanation:
pls help quickly thank you
Answer: $637
Step-by-step explanation:
Every Wednesday, Wayne works out for
3
4
of an hour at the fitness center. Every Saturday, he goes to the fitness center again and exercises for 3 times as long. How much time does Wayne spend at the fitness center in all each week?
I would say three hours?
Hello, I’m struggling, please help :)
Answer:
1. Vanilla
2.Strawberry
3.Chocolate
4.CS
5.VV
6.SS
Step-by-step explanation:
For these problem you are solving to find ALL of the possible outcomes with the 3 flavours.
1. They already have a combination for Chocolate-chocolate and Chocolate-Strawberry. The only flavour you haven't used yet is vanilla which makes your first answer vanilla.
2. They already have a combination for Vanilla-Chocolate and Vanilla-Vanilla. The only flavour you haven't used yet is Strawberry which makes your answer strawberry.
3. They already have a combination for Strawberry-Vanilla and Strawberry-Strawberry. The only flavour you haven't used yet is chocolate which makes your answer chocolate.
So when looking at the letters they are honestly just initials to the combinations possible. The order of the letters depend on what words come first going down your branch.
4. The two words are chocolate and strawberry. The first letter in both words are C and S so the answer is CS.
5. The two words are vanilla and vanilla. The first letter in both words are V and V so the answer is VV.
6. The two words are strawberry and strawberry. The first letter in both words are S and S so the answer is SS.
What is the y-intercept of the line?
Answer:
(0 ; 1)
Step-by-step explanation:
Have a great day
Answer:
The y-intercept of this line is 1.
Step-by-step explanation:
You can tell by looking at the y-axis (vertical line.)
Donald bought a box of golf balls for $9.32. There were 18 golf balls in the box.
About how much did each golf ball cost? Rename the decimal dividend as a whole number that is
compatible with the divisor to estimate the quotient.
Each golf ball costs about $
Answer:
$0.51
Step-by-step explanation:
each golf ball would cost $0.51
−2x+5y=−17 3x-10y=283x−10y=28
Answer:
x = 6
y = -1
Step-by-step explanation:
-2x + 5y = -17 ------ equation 1
3x- 10y = 28 ------- equation 2
equation 1× 2
-4x + 10y = -34 ------- equation 3
equation 2 + equation 3
-x = -6
x = 6
x = 6 substitute for equation 1
-12 + 5y = -17
5y = -5
y = -1
solve each system using elimination
8x+lly = 20 5x - 11y = -59
Answer:
8x+lly=205x-11y=-59u200b
Step-by-step explanation:
i calculated it
WHAT IS FRICTION BETWEEN????? NEED ANSWERS ASAP
Answer:
Friction is a force between two surfaces that are sliding, or trying to slide, across each other.
Step-by-step explanation:
For example, when you try to push a book along the floor, friction makes this difficult.
Answer:
Friction is the force that opposes motion between any surfaces that are in contact. There are four types of friction: static, sliding, rolling, and fluid friction. Static, sliding, and rolling friction occur between solid surfaces. Fluid friction occurs in liquids and gases.
Step-by-step explanation:
Which statement correctly compares the function shown on this graph with the function y = -x+ 4?
A. The function shown on the graph has the same rate of change, but a lower starting point.
B. The function shown on the graph has a smaller rate of change, but the same starting point.
C. The function shown on the graph has a greater rate of change, but the same starting point.
D. The function shown on the graph has the same rate of change, but a higher starting point
Answer:
I think the answer for this question is C
Answer:
the answer is c
Step-by-step explanation:
How do you answer this?
Answer:
x= -3/2Step-by-step explanation:
((4)²)^x = 1/(4)³
4²^x = 4³
thus the powers are same then
2x =-3
x=-3/2Answer:
x = - [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Using the rules of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^m}[/tex]
Note that 16 = 4² and 64 = 4³ , then
[tex]16^{x}[/tex] = [tex]\frac{1}{64}[/tex] , can be expressed as
[tex](4^2)^{x}[/tex] = [tex]\frac{1}{4^3}[/tex] , that is
[tex]4^{2x}[/tex] = [tex]4^{-3}[/tex]
Since the bases on both sides are equal, then equate the exponents
2x = - 3 ( divide both sides by 2 )
x = - [tex]\frac{3}{2}[/tex]
please answer this question.i would really apreciate it
how many times did the decimal point move if 1.56 went to 1560
Answer:
For 1.56 to get to 1560 the decimal point moved three times.
Step-by-step explanation:
To explain this I will give a visual representation.
We have to get from 1.56 to 1,560 and find out how many times it moved forwards.
0). 1.560
1). 15.60
2). 156.0
3). 1,560
as you can see it moved three times.