Exits on an interstate are numbered consecutively.
The distance between Exit 5 and Exit 6 is 3.2 miles.
The distance between Exit 6 and Exit 7 is 1.1 miles farther than the distance between Exit 5 and Exit
6.
The distance between Exit 6 and Exit 8 is 2.4 miles farther than the distance between Exit 5 and Exit
7.
The distance between Exit 7 and Exit 8 is
miles.
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Answer:
5.6 miles
Step-by-step explanation:
Let the following distances between exits be defined:
a = exit 5 to 6
b = exit 6 to 7
c = exit 7 to 8
Then the given relations are ...
a = 3.2
b = 1.1 +a = 4.3
(b +c) = 2.4 +(a +b) ⇒ c = a +2.4 = 5.6
The distance between exits 7 and 8 is 5.6 miles.
(10pts) Ivan bought three games and paid $65 for all three. The second game was 50% more expensive than the first one. The price of the third game was 50% of the price of the second game. Find the price of the first game.
PLSSSSSSSS HELPPPP NOWWWWWW!!!
Answer:
The price of the first game is $.
We are required to find the price of the first game
The price of the first game is $20
Given:
let
price of the first game = x
price of the second game = x + 50% of x
= x + 0.5x
= 1.5x
Price of the third game = 50% of 1.5x
= 0.5 × 1.5x
= 0.75x
Total cost of game = $65
Total cost of game = price of the first game + price of the second game + Price of the third game
65 = x + 1.5x + 0.75x
65 = 3.25x
divide both sides by 3.25
x = 65 ÷ 3.25
x = 20
Therefore, the price of the first game is $20
Read more:
https://brainly.com/question/291220
Given f(x)=3x(to the scnd power)−5x−2. What is the value of f(−2/3)? 1 8/3 3 10/3
Given:
[tex]f(x)=3x^2-5x-2[/tex]; find f(-2/3)
Answer:
[tex]f(-\frac{2}{3} )=\frac{8}{3}[/tex]
Step-by-step explanation:
1. Insert [tex]-\frac{2}{3} \\[/tex] as X; [tex]f(-\frac{2}{3}) = 3 (-\frac{2}{3} )^2 - 5 (-\frac{2}{3}) - 2[/tex]
2. Solve equation; [tex]f(-\frac{2}{3} )=\frac{8}{3}[/tex]
Suppose that you and a friend are playing cards and decide to make a bet. If you draw three face cards, where a face card is a Jack, a Queen, or a King, in succession from a standard deck of 52 cards without replacement, you win $40. Otherwise, you pay your friend $10. What is the expected value of your bet? Round your answer to the nearest cent, if necessary.
Answer:
Step-by-step explanation:
Expected value of the bet =
P(you make the correct draw) * 40 + P(you do not make the correct draw) * (-10) =(4/52)(4/51)(4/50) * 40 + (1 - (4/52)(4/51)(4/50)) * (-10) =
(64/132600) * 40 + (1 - 64/132600) *(-10) =
64/3315 + (132536/132600) * (-10) =
64/3315 - (132536/13260) =
64/3315 - 33134/3315 =
-33070/3315 =
-9.97586726998 =
-$9.98, rounded to the nearest cent
(i.e., the expected value of the bet is a loss of $9.98)
Factor 28x3 + 156x2 + 80x
Answer:
4(+5)(7+4)
Step-by-step explanation:
i think this is real
Correct answer will get brainiest
Answer:
x=75
Step-by-step explanation:
(2x-67)+(x-23)+3x=360
6x-67-23=360
6x=450
x=75
increase 600 by 8⅓ percent
Answer:
650
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
3. Starting from the camp at C, Tim takes a bearing of a mountain and notes it to be 25°. He then walks 5 km to the hut at H and takes a second bearing, 345°
(a) Work out the angles in the triangle. Show it is a right angled triangle.
(b) From the mountain at M, what is the bearing of the camp?
(c) How far is it from the camp to the mountain?
(d) Tim walks back to camp from the hut. What bearing does he follow?
Answer:
No idea
Step-by-step explanation:
Enter an inequality that represents the phrase "the sum of 4 and y is less than 6." Draw a graph that represents the inequality.
Please help AND give a good explanation. Like I am finding this super hard and well I can NOT get this question wrong unless I want a C on this. Help :(
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Answer:
4 + y < 6
see attached for a graph
Step-by-step explanation:
The English description "the sum of A and B" is written symbolically as ...
A + B
The symbol for "is less than" is <.
Then "the sum of 4 and y is less than 6" will be written ...
4 + y < 6
__
The solution to this is found by subtracting 4 from both sides of the inequality:
4 +y -4 < 6 -4
y < 2 . . . . . . . . . simplified solution
The graph of this is a number line with an open circle at y=2, and shading to the left of that point, where values on the number line are less than 2.
A 125 mililiter solution of fabric dye contains 5 ml of hydrogen peroxide what percent concentration of hydrogen peroxide?
Factor use please help I need this and quick
[tex]8a^{3} +\sqrt{3^{2}*3 } b^{3}[/tex]
[tex]8a^{3} +(\sqrt{3^{2} } *\sqrt{3})b^{3} \\\\[/tex]
[tex]8a^{3} +(3^{\frac{2}{2} } *\sqrt{3} )b^{3}[/tex]
[tex]8a^{3} +(3*\sqrt{3} )b^{3}[/tex]
[tex]8a^{3} +3*\sqrt3} *b^{3}[/tex]
William has a lemonade stand. Today he made $89.62 in lemonade sales and one third that amount in cookie sales. How much money did William make altogether?
Answer:
$119.49 (rounded to the nearest cent.)
Answer: 119.4933333 would be the actual answer but rounded to the nearest cent it would be 119.49
89.62/3 = 29.8733333....... 89.62 + 29.8733333 = 119.4933333
How does the graph of g(x) = −(x − 2)4 compare to the parent function of f(x) = x4?
Group of answer choices
g(x) is shifted 2 units to the right and reflected over the x-axis.
g(x) is shifted 2 units to the left and reflected over the x-axis.
g(x) is shifted 2 units to the right and 1 unit up.
g(x) is shifted 2 units to the right and 1 unit down.
Please HELP me
Answer:
g(x) is shifted 2 units to the right and reflected over the x-axis.
Step-by-step explanation:
In a normal distribution the mean is 30.What will be the value of median of this distribution?
Answer:
30
Step-by-step explanation:
because in normal distribution
mean=median=mode
which of the following expressions to 36x + 24y? choose all that apply.
6x (6+4y)
6(6x + 4y)
12(36x + 24y)
12(3x + 2y)
4y(9x + 6)
4(9x + 6y)
6(6x + 4y)
12(3x + 2y)
4(9x + 6y)
2x - 6 >8
What is the Second Step?
Answer:
8
Step-by-step explanation:
i used the calculator
1.Add 66 to both sides.
[tex]2x=8+6[/tex]
2. Simplify 8+6 to 14
[tex]2x=14[/tex]
3. Divide both sides by 22.
[tex]x=14/2[/tex]
4. Simplify [tex]14/2[/tex] to [tex]7[/tex]
Then your answer should be [tex]x=7[/tex]
A number n is increased by 40% and then decreased by 14%. What is the final result in terms of n?
Answer:
X = 100. A 40% increase causes it to increase to 140. A 40% reduction amounts to multiplying by 0.6, leading to a reduction of 40% of 140 ...
Mae receives $79.00 for working one 10-hour day. One day she had to stop after working 7 hours because of a doctor’s appointment. How much did she make that day? I need help
I need help, please.
[tex]p = 2(l + w) = 2.(15 + 12) = 54 cm[/tex]
Can someone help me please
Answer:
181.25 square feet
1/6 quart water
1/18 cup milk
1/3 beef bouillon cube, and 2/3 a large carrot
Step-by-step explanation:
The width of a rectangular rug is 4 1/4 inches longer than twice its length. If the perimeter of the rug is 56 1/2 inches, which equation represents this situation?
The question requires calculating the perimeter of the rectangular r ug
The equation which represent the situation is 113/2 = 6x + 34/4 and length is 8 inches and width is 20 1/4 inches
Given:
let
length of the rectangular r ug = x inches
Width of a rectangular r ug = (2x + 4 1/4) inches
Perimeter of the r ug = 56 1/2 inches
Perimeter of the r ug = 2(length + width)
56 1/2 = 2{x + (2x + 4 1/4)
113/2 = 2(x + 2x + 17/4)
113/2 = 2(3x + 17/4)
113/2 = 6x + 34/4
113/2 - 34/4 = 6x
(226-34) / 4 = 6x
192/4 = 6x
48 = 6x
divide both sides by 6
x = 48/6
x = 8 inches
So,
length of the rectangular r ug = x inches
= 8 inches
Width of a rectangular r ug = (2x + 4 1/4) inches
= 2(8) + 4 1/4
= 16 + 4 1/4
= 20 1/4 inches
Therefore, the equation which represent the situation is 113/2 = 6x + 34/4 and length is 8 inches and width is 20 1/4 inches
Read more:
https://brainly.com/question/10452031
Leon and Thomas have the same number of cherries. Leon eats 5 of his cherries and has 12 cherries left. Thomas eats 9 of his cherries. How many cherries does Thomas have left?
the general solution of sinx + cosx =√2 is..??
The answer is A. x= [tex]\pi[/tex]/4 +2[tex]\pi[/tex]n
Answer:
the general solution has answer
2nπ+π/4
Plz help I need help plz
MATH WEEK 5 DISCUSSION
In the 2004 Summer Olympics, Adam van Koeverden of Oakville, Ontario, won two medals. He won the gold medal in the men’s 500 m kayak race, with a time of 1 min 37.9 s. He also won the bronze medal in the 1000 m race, with a time of 3 min 28.2 s. In which race did he row with greater speed?
Answer:
Adam van Koeverden at the 2004 Olympic at Athens. Van Koeverden paddled to victory in the Men's K1 500 m kayaking event, adding a gold medal to the bronze he won days earlier in the 1000 m to become Canada's first double medallist in the summer Olympics since Donovan Bailey and Clara Hughes at Atlanta in 1996.
Step-by-step explanation:
Pls mark me as brainliest
What is the average distance covered in meters?
Answer:
4.17666666666666666667
Step-by-step explanation:
add 4.5 4.21 and 3.82 then divide it by 3
Veggie’s Market sells 5 avocados for $2.30 and 3 tomatoes for $2.97. Martina buys 2 avocados and 1 tomato. What is the total cost of her veggies?
Answer:
$1.91
Step-by-step explanation:
$2.30 / 5 = $0.46
$2.97 / 3 = $0.99
2 * $0.46 + $0.99 = $1.91
Answer:
1.91
Step-by-step explanation:
divide 2.30 by 5 and u get 0.47 and she bought 2 avocados so 0.47 plus 0.47 is 0.92 and 2.97 divided by 3 is 0.99 so 0.99 plus 0.92 is 1.91 dollars
Divide 2/5 divided by 4 in simplest terms
Answer:
1/10
Step-by-step explanation:
STATE THE MODULES THAT ARE INCLUDED WHEN LEARNING CALCULUS I.
Answer:
Calculus is the branch of mathematics studying the rate of change of quantities (which can be interpreted as slopes of curves) and the length, area, and volume of objects. The chain rule is a formula for the derivative of the composition of two functions in terms of their derivatives.