Answer:
Family 1 average rate of speed was 66 miles per hour, while Family 2 average rate of speed was 54 miles per hour.
Step-by-step explanation:
Since two families that live 270 mi apart plan to meet at a park located between their two homes, and both leave at 9:00 am but one family averages 12 mph faster than the other family, if the families meet at the designated spot 2 and half hours later, to determine the average rate of speed for each family, the following calculation must be performed:
Family 1: ((270/2) + (12 x 2.5)) / 2.5
Family 1: (135 + 30) / 2.5
Family 1: 165 / 2.5
Family 1: 66 miles per hour
Family 2: (270/2) / 2.5
Family 2: 135 / 2.5
Family 2: 54 miles per hour
In this exercise we have to use the knowledge of speed to calculate the speed each family achieves, thus we find that:
Family 1 the average rate of speed for each family is 66 miles per hour.Family 2 the average rate of speed for each family is 54 miles per hour
Since two families that live 270 mi apart plan to meet at a park located between their two homes, and both leave at 9:00 am but one family averages 12 mph faster than the other family, if the families meet at the designated spot 2 and half hours later, to determine the average rate of speed for each family, the following calculation must be performed:
So looking at family 1 we found that:
[tex]F_1:\frac{ ((\frac{270}{2.5})+(12*2.5))}{2.5} \\F_1: \frac{(135 + 30)}{2.5}\\F_1: \frac{165}{2.5}\\F_1: 66 \ miles \ per \ hour[/tex]
So looking at family 2 we found that:
[tex]F_2: \frac{(\frac{270}{2})}{2.5}\\F_2: \frac{135}{2.5}\\F_2: 54 \ miles \ per \ hour[/tex]
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Emily drives 186 miles in 3 hours. What is her average speed? Give your answer in mph
Emily's average speed will be 62 mph for the trip
What is Average speed?Average speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.
Emily travels 186 miles in three hours.
To determine Emily's average speed, we can divide the distance she traveled by the time it took her to travel that distance. Her average speed would be:
⇒ average speed = distance / time
⇒ average speed = 186 miles / 3 hours
Apply the division operation, and we get
⇒ average speed = 62 mph
This is Emily's average speed for the trip.
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A TV originally priced at $800 was reduced to $600. What was the percentage discount given?
Answer:
20%
Step-by-step explanation:
How much will you have contributed to a Whole Life insurance policy that has a face value of $60,000 over a 40-year
period, given that the permanent insurance amount for a healthy 30-year-old male is $18.54 per thousand.
a $1,112.4
$60,000
Б. $44,496
$533,952
C.
d
Please select the best answer from the choices provided
O O O O
Answer: The answer is $44,496. I got it right on the test. Sorry that I was late...
Step-by-step explanation:
:)
0
(a) Make a scatter plot of the data in the table given to the right.
(b) Find a power function that models the data.
(c) Find a quadratic function that models the data.
(d) Find a logarithmic function that models the data.
1
2
3
4
5
6
у
3.5
5.6
6.4
75
9
10
(a) Choose the correct graph below.
OA
OB
OC
...
Luanda
10.121 by 10,121. Xsell, Yell
Answer:
OA
Step-by-step explanation:
The graph will move from right to left in ascending order
Find the volume
I really need your help
Answer:
[tex] V_{total} = 26460 \pi~cm^3 [/tex]
[tex] V_{total} = 83127~cm^3 [/tex]
Step-by-step explanation:
The solid is made up of 2 cones and a cylinder.
Upper cone:
radius = 21 cm
height = h_1 = 70 cm - 35 cm = 35 cm
Cylinder:
radius = 21 cm
height = h_2 = 35 cm
Lower cone:
radius = 21 cm
height = h_3 = 40 cm
[tex] V_{total} = V_{upper~cone} + V_cylinder} + V_{lower~cone} [/tex]
[tex] V_{total} = \dfrac{1}{3} \pi r^2 h_1 + \pi r^2 h_2 + \dfrac{1}{3} \pi r^2 h_3 [/tex]
[tex] V_{total} = \dfrac{1}{3}(\pi)(21~cm)^2(35~cm) + (\pi)(21~cm)^2(35~cm) + \dfrac{1}{3}(\pi)(21~cm)^2(40~cm) [/tex]
[tex] V_{total} = \dfrac{1}{3}(\pi)(441~cm^2)(35~cm) + (\pi)(441~cm^2)(35~cm) + \dfrac{1}{3}(\pi)(441~cm^2)(40~cm) [/tex]
[tex] V_{total} = (147~cm^2)(35~cm)(\pi) + (441~cm^2)(35~cm)(\pi) + (147~cm^2)(40~cm)(\pi) [/tex]
[tex] V_{total} = 5145\pi~cm^3 + 15435\pi ~cm^3 + 5880\pi~cm^3 [/tex]
[tex] V_{total} = 26460 \pi~cm^3 [/tex]
[tex] V_{total} = 83127~cm^3 [/tex]
Pls help me
I will give brainliest
Answer:
I am you helper
Step-by-step explanation:
Hey so she Emily has 6 eggs she needs 2/3 of the eggs to make an omelette how many eggs does she need
Answer:
she needs four eggs for her omelette
Step-by-step explanation:
2/3 of a cup is 10 table spoons ans 2 teaspoons
Please help solve this.
Answer:
x= 8.9 cm
Step-by-step explanation:
First, since we know that the radius of the circle is 5 centimeters, we know that the diameter of the circle and the hypotenuse of the triangle is 10 centimeters long. Then you use the pythagorean theorem to find out the length of side x. The equation would be: 4.5^2 + x^2= 10^2. Next, you simplify the equation by squaring the squares to get. 20.25 + x^2= 100. Finally, you would subtract 100 and 20.25 to get 79.75 and take the square root of that number to get your x value. x= [tex]\sqrt{79.75}[/tex]. When you do this equation you come out with x=8.93028554975 and then round it to the nearest tenth which is 8.9 cm.
Solve for x. 24= -4(x-1)
Answer:24 = 24x
Step-by-step explanation:Cross multiply:
2 * 12 = x * 24
Simplifying
2 * 12 = x * 24
Multiply 2 * 12
24 = x * 24
Reorder the terms for easier multiplication:
24 = 24x
Solving
24 = 24x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-24x' to each side of the equation.
24 + -24x = 24x + -24x
Combine like terms: 24x + -24x = 0
24 + -24x = 0
Add '-24' to each side of the equation.
24 + -24 + -24x = 0 + -24
Combine like terms: 24 + -24 = 0
0 + -24x = 0 + -24
-24x = 0 + -24
Combine like terms: 0 + -24 = -24
-24x = -24
Divide each side by '-24'.
x = 1
Simplifying
x = 1
[5 - 3(8/4)] + (5^5/10^2)+(20-6.25)
Answer:
44
Step-by-step explanation:
Answer: 44
Step-by-step explanation:
[5 - 3(8/4)] + (5^5/10^2)+(20-6.25) = 44
express the area of the entire rectangle
Answer: x^2 +6x +2x +36 = X^2 +8x + 36
Step-by-step explanation:
Answer:
x² + 8x + 12
Step-by-step explanation:
(x × x) + (x × 6) + (x × 2) + (6 × 2)
x² + 8x + 12
good luck, i hope this helps :)
fifty-nine thousandths
Write fifty-nine thousand in numerical format
Answer:
59,000
Step-by-step explanation:
Write 0.076943 to 3 S.f
Answer:
0.0769
Step-by-step explanation:
I went to the store and bought 4 packs of nerds for $0.98 each and a pack of Little Debbie cakes for $2.15. How
much money did I spend?
Answer:
Kindly refer to the attachment
Thank U NextThe temperature was +12 degrees at midday. By evening, the temperature was -20 degrees. What was temperature change?
Answer:
The temperature decreased by 32 degrees.
Step-by-step explanation:
Melinda has a 598-page book. If she reads 26 pages each day, how many days will it take for her to finish reading the book?
Answer:
23 days
Step-by-step explanation:
Need help will mark Brainliest
Answer:
53
Step-by-step explanation:
Helo me out with this question ????
Answer:
Congruent
To be honest they are equal but in this question there is no option as equal so we can choose congruent
The point (4, -2) is reflected over the y-axis. What are the coordinates of its image?
Answer:
(-4, 2)
Step-by-step explanation:
when its reflected across the y-axis it goes from (x, -y) to (-x, y)
1.) A toy store offers an additional 25% discount on board games that have already been
reduced by 30%. Will the final cost be the same as a discount of 55 %on the original price?
Use an example with an original cost of your choice to help explain your answer.
Answer:
Yes 25% + 30% =55%
Step-by-step explanation:
yes because 25+30 =55
The final cost not be same as 55% discount.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
A toy store offers an additional 25% discount on board games that have already been reduced by 30%.
let the the price of toy be $100.
So, the price after 30% discount
= 100 - 100 x 0.30
= 100 - 30
= $70
and, additional 25% discount
= 70 - 70 x 0.25
= $52.5
Now, if discount is 55% then price would be
= 100 - 100 x 0.55
= $45
Hence, the case is not same.
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help me please if you can
Answer:
<E=<K
DE=JK
Step-by-step explanation:
The first two answers are correct because they are corresponding. One way of solving is going through each answer and comparing the measurements, if they are congruent then the statement is true, if not it is false.
1) <E=88 and <K=88, since 88=88 this is a true statement.
2) DE=14 mi and JK=14 mi, since 14=14 this is a true statement.
3) CD=14 mi and KL=25 mi, since 14[tex]\neq[/tex]25 this is a false statement.
4) EB=25 mi and MJ=14 mi, since 25[tex]\neq[/tex]14 this is a false statement.
6 X (22 + 9) = 6 x 22 + 6 x 9
This is an example of ______
property.
Answer:Distributive property
Step-by-step explanation:
6 X (22 + 9) = 6 x 22 + 6 x 9 is an example of the distributive property where you can distribute the multiplication to each term inside the parentheses.
The distributive property states that when you multiply a number by the sum of two or more numbers, you can distribute the multiplication to each term inside the parentheses. Mathematically, it can be expressed as:
a x (b + c) = (a x b) + (a x c)
In the given equation, we have:
6 x (22 + 9) = 6 x 22 + 6 x 9
By applying the distributive property, we distribute the multiplication of 6 to each term inside the parentheses:
6 x 22 + 6 x 9
This simplifies to:
132 + 54
Therefore, the distributive property allows us to break down the multiplication of a number by the sum of two or more numbers into separate multiplications, resulting in the same outcome.
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Please help me if you can
Answer:
K N O
Step-by-step explanation:
hope this helped you
Answer:
b u t is congruent to k o n
Step-by-step explanation:
because it was just turned
Marcia biked 600 meters on friday. On saturday ,she biked 5 kilometers. On Sunday, she biked 2 kilometers, 500 meters. How many kilometers did Marcia bike over the three days?
Answer:
10.4
Step-by-step explanation:
So let's do the basic, adding. 5 kilometers on Saturday and 4 on part of Sunday. That's 9. So let's save that. Now for the meters. We know that there are 1000 meters in a kilometer. So add up 600 and 800. That gives you 1400 meters total. Now if we divide 1400 by 1000, we get 1.4. So that is how many kilometers he rode on Friday and and the other part of Sunday. SO now we just add everthing up. 9km+1.4km = 10.4, your answer
A= 1/2h(b1+b2)
the area is 27inches the two base are 6 and 3
what is H
6
Step-by-step explanation:
B1=6
B2=3
A=1/2
A=27
H=?
A=1/2h(6+3)
A=1/2h(9)
A=9/2
27=4.5
H=27/4.5
H=6
VwnWowww.» www
FIRST PRESIDENT
OF THE UNITED
STATES IS ELECTED!
1
Which Virginian is being described in the headline above?
A Thomas Jefferson
B George Washington
с
Patrick Henry
D
George Mason
А
А
B
B
Answer:
George Washington.
Step-by-step explanation:
The first president of the United States was George Washington. Patrick Henry and George Mason where never elected President. Thomas Jefferson was the Third President. John Adams (not a choice in your question) was the second President.
Given the function k(t)=2t-1:
a) evaluate k(2)
b) solve k(t) =7
Answer:
hope it helped have a nice day
Pls help extra points and mark brainlist
Answer:
g=7
Step-by-step explanation:
7-9=2
2x7=14
14+12=26
Answer:
g = 11
Step-by-step explanation:
26 = 7(g - 9) + 12
Insert 11 to the g place:
26 = 7(11 - 9) + 12
11 - 9 = 2
7 · 2 = 14
14 + 12 = 26
A ladder leans against the side of the house. The angle of elevation of the ladder is 61 degrees when the bottom of the ladder is 12ft from the side of the house. Find the length of the ladder.
Answer:
732
Step-by-step explanation:
solve for x.
help pls im stressed
Dont be Stressed Im here
X=6