The number of hours it would take Miller's family to reach their destination is [tex]2\frac{2}{3}[/tex] hours.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, The Miller family must drive 8 hours to reach their destination.
The first time they stopped after driving [tex]2\frac{2}{3}[/tex] hours and again for the second time they stopped after driving [tex]2\frac{2}{3}[/tex] hours.
Therefore the total hours they drive is,
= [tex](2\frac{2}{3} + 2\frac{2}{3})[/tex] hours.
= (8/3 + 8/3) hours.
= 16/3 hours.
= [tex]5\frac{1}{3}[/tex] hours.
So, The number of hours they still need to drive is,
= (8 - 16/3) hours.
= (24 - 16)/3 hours.
= 8/3 hours.
= [tex]2\frac{2}{3}[/tex] hours.
learn more about fractions here :
https://brainly.com/question/10354322
#SPJ2
1. How many terms are in the following expression
5x^2 + 2x + 4
2. What is the value of 4x - 6 ÷ X when X = 6
Please help me thank you! <3!
I really need help :/
I WILL GIVE BRAINLIEST
question:
1. Use the Pythagorean theorem to find AD.
2. Find AC. Show your work.
3. Is ΔABC a right triangle? Explain.
SHOW YOUR WORK
Problem 1
Answer: AD = 9
-------------------------------------------------
Work Shown:
Focus on triangle ADB, which is the smaller triangle on the left.
We have these side lengths
AD = unknown leg
BD = 12 = known leg
AB = 15 = known hypotenuse
Let's apply the Pythagorean Theorem to find the unknown leg
a^2 + b^2 = c^2
(AD)^2 + (BD)^2 = (AB)^2
(AD)^2 + (12)^2 = (15)^2
(AD)^2 + 144 = 225
(AD)^2 = 225-144
(AD)^2 = 81
AD = sqrt(81)
AD = 9
Side AD is 9 units long.
========================================================
Problem 2
Answer: AC = 25
-------------------------------------------------
Work Shown:
AC = AD + DC .... segment addition postulate
AC = 9 + 16 ..... substitution; refer to problem 1
AC = 25
========================================================
Problem 3
Answer: Triangle ABC is a right triangle.
-------------------------------------------------
Work Shown:
The Pythagorean Theorem Converse says "if a^2+b^2 = c^2 is a true equation, then the triangle with sides a,b,c is a right triangle". Keep in mind that c is always the longest side (hypotenuse). The order of 'a' and b doesn't matter. Convention has us usually do [tex]a \le b[/tex] but again the order isn't important.
We have these three sides
a = 15 (length of side AB; leg #1)b = 20 (length of BC; leg #2)c = 25 (length of AC; hypotenuse)Plug those values into the equation below. Simplify each side.
a^2+b^2 = c^2
15^2 + 20^2 = 25^2
225 + 400 = 625
625 = 625
We get a true equation. Therefore, triangle ABC is a right triangle.
Answer:
Step-by-step explanation:
Pythagorean = c^2 =a^2 + b^2
we are given c and a so solve for b
c^-a^2 = b^2
15^2- 12^ = b^2
81= b^2
[tex]\sqrt{81}[/tex]=b
9=b
AD=b
AC = AD + 16
AC =9 + 16 =25
if it's a right triangle then Pythagorean will work with the sides to make 25
AC^2 = 15^2+20^2
AC = [tex]\sqrt{625}[/tex]
AC = 25
help its urgent please a right answer 13 points and the brainliest
Answer:
1. 100-96=. 4
2.4b
3.b=12
4. 12 boxes
Step-by-step explanation:
Which of the statements is true?
A. For every value of x, the rate of change of f(x) exceeds the rate of change of g(x).
B. As x increases, the rate of change of g(x) exceeds the rate of change of f(x).
C. At approximately x = 4.74, the rate of change of g(x) is equal to the rate of change of f(x).
D. As x increases, the rate of change of f(x) exceeds the rate of change of g(x).
A statement that is true include the following: B. As x increases, the rate of change of g(x) exceeds the rate of change of f(x).
How to determine the average rate of change?In Mathematics, the average rate of change of f(x) on a closed interval [a, b] is given by this mathematical expression:
Average rate of change = [f(b) - f(a)]/(b - a)
Next, we would determine the average rate of change of the function f(x) over the interval [0, 1]:
a = 0; f(a) = 1
b = 1; f(b) = 6
By substituting the given parameters into the average rate of change formula, we have the following;
Average rate of change = (6 - 1)/(1 - 0)
Average rate of change = 5/1
Average rate of change = 5
For g(x), we have the following:
Average rate of change = (216 - 0)/(1 - 0)
Average rate of change = 216/1
Average rate of change = 216
Read more on average rate of change here: https://brainly.com/question/26938069
#SPJ1
Which equation is NOT equivalent to 5 + n = 10. Select all that apply.
5 + n -n = 10 – n
5 + n – 5 = 10 - 10
5 + n – 5 = 10 - 5
5 + n + 3 = 10 + 3
5 + n – 10 = 10 - 5
Answer:
5 + n - 5 = 10 - 10
Step-by-step explanation:
if you do 5-5 that would equal zero, and if you do 10-10 it would equal 0 also, so all you would be left with is 0 + n= 0 and that is not equal to 5 + n = 10
Answer:
5 + n - 5 = 10 - 10
Step-by-step explanation:
Enter a number in the blank so the equation will have no solution
7w+6+2w=__(w+2)
THANK YOU :)))))
Answer: 7
Step-by-step explanation:
2
Patty is playing a card game. There are
three blue cards in a deck of twelve cards.
Patty draws a card at random. Without
replacing it, she draws another card. What
is the probability that neither card is blue?
Answer:
1/4
Step-by-step explanation:
What is the original price of a hoverboard if it was marked up 80% and sold for final price of $300 (after mark-up).
Answer:
60
Step-by-step explanation:
300 divided by 100, gives you the 1% (which in this case is 3)
3 x 80 (markup) gives you 240
300- 240(markup) gives you 60
What is the exposed surface area of the park bench above?
98
118
108
124
the formula f= 1.8 + 32 is used to convert temputure from degrees celsius ºC to degrees
feriheit ºF
Answer:
The Formula F=1.8C+32 gives the temperature in degrees Celsius (C). There is one temperature for which a number of degrees Fahrenheit is equal to the number of degrees Celsius.
Step-by-step explanation:
20ºC = 68ºF i think this is equation.;-;
Lacy saves 45% of her paycheck. If Lacy's paycheck is $680, how much does she save?
Answer:
306
Step-by-step explanation:
u havw to do the formula part whole = % & 100.
45 x 680 = 30600
30600 divide 100 = 306 :)
The price of a stock on Monday was $30. On Tuesday, the price was $24. Find the percent of change from Monday to Tuesday
Answer:
20% drop from previous day
Step-by-step explanation:
30-24 = 6
6 / 30 = 1/5 = 20%
A zebra runs 20 meters in 4 seconds. At this rate, how many meters does the zebra run in 60 seconds?
A.
300
B.
240
C.
120
D.
80
PLAESE HELP ASAP!!!!
11 5/8+9 1/2=__
3/4−2/5=__
4 5/6−2 1/2 = __
ONLY IN FRACTION FORM THANK YOU
Answer:
11 5/8 + 9 1/2= 21 1/8
3/4 - 2/5= 7/20
4 5/6 - 2 1/2= 2 1/3
Step-by-step explanation:
So yea yw babe
Need help with this please (I’ll give brainlist to the correct answer )
Answer:
Form: Standard form
Key parts: 2 is the slope/roc, x is the variable, and 1 is the y intercept/b term
Step-by-step explanation:
What is the x-coordinate of point B? Write a decimal coordinate.
On a coordinate plane, point B is 1.5 units to the left and 3.5 units up.
Answer:
(-1.5,3.5)
Step-by-step explanation:
Starting from the Origin move 1.5 left equals -1.5 and 5 units up is 3.5 so, my answer is (-1.5,3.5).
Answer:0.5
Step-by-step explanation:
Please help with via math I suck at math so plz help... will give brainiest to the person I think gave the best answer.
5 The smallest angle of a triangle, in degrees, is p.
The second angle is 4 times the smallest angle.
The third angle is 5 times the smallest angle.
a Write an equation for the angles in the triangle in terms of p.
b Find the size of the largest angle in the triangle.
b in paticular
Answer: b = 90
Step-by-step explanation:
Full triangle is 180
5 + 4 = 9 + 1 (the smallest angle)
180 ÷ 10 = 18
First and smallest angle is 18
p= 18
Second angle is 72
18 × 4 = 72
Thrid angle is 90
18 × 5 = 90
b = 90
18 + 72 = 90 + 90 = 180
Need help with this word problem
Simplify :
4n + 3(n - 5) + 2
Answer:
3n-13
i had a test today and this question was on it and i got it right so i know it is right. hope this helps u
Answer:
7n - 13
Step-by-step explanation:
4n + 3(n - 5) + 2
4n + 3n - 15 + 2
7n - 13
If Albert Enstein has 53 socks in his drawer: 21 identical blue, 15 identical black and 17 identical red. The lights are out and he is completely in the dark. How many socks must he take out to make 100 percent certain he has at least one pair of black socks?
Answer:
6 socks
Step-by-step explanation:
What we must do is calculate the probability of this happening, that he takes out two black socks in the first two taken out.
There are 12 black socks and in total they are 24, therefore the probability of drawing 1 is:
12/24
and now the probability of getting another one is 11 (there is one less outside) and in total they are 23:
11/23
the final probability is the multiplication of these events:
(12/24) * (11/23)
P = 0.24
Now, to know how many you should get, we multiply the probability by the total number of socks, that is:
0.24 * 24 = 5.76
So you must take out at least 6 socks for the above to happen.
the number of socks Albert Enstein has to take out to be sure that he has at least one pair of black socks is 38.
In order to determine the number of socks Albert Enstein has to take out to be sure that he has at least one pair of black socks, we would have to add the number of blue socks with the number of red socks.
Number of socks to be taken out = number of blue socks + number of red socks
21 + 17 = 38 socks
To learn more about addition, please check: https://brainly.com/question/349488
solve for t
t/10-14=16
t=what
Answer:
Step-by-step explanation:
Need some help here please
Claude uses the greatest common factor and the distributive property to rewrite this sum:
45 + 90
Drag one number to each box to show Claude's expression.
The nubers are 1,2,5,9,10,18,45 and 90
Which expression is equivalent to 6w + 5 - 3w + 7
A. 9w + 2
B. 3w + 12
C. 11w - 4
D. 11w + 4
Hint: It's not A, or B
Answer:
the answer is B
Step-by-step explanation:
6w + 5 - 3w + 7
i) collect like terms= 6w - 3w + 5 + 7
= 3w + 5 + 7
ii) add the numbers= 3 w + 5 + 7
= 3w + 12
Sean bought his house at $200,000 two years ago. He is now
selling it for $267,000. What is the percent markup?
A) 2% increase
B) 25.1% increase
C) 33.5% increase
D) 67% increase
Answer: 33.5%
Step-by-step explanation:
common sense
Donald bought a box of golf balls for $9.33. 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:
around 49 or a bit over 50 cents
Step-by-step explanation:
write the equation in slope-intercept form of the following table
Answer:
Step-by-step explanation:
Take any two points and find the slope.
(3,7) ; (9,5)
Slope =[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]=\frac{5-7}{9-3}\\\\=\frac{-2}{6}\\\\=\frac{-1}{3}[/tex]
Equation: y -y1 = m(x -x1)
[tex]y - 7 = \frac{-1}{3}(x - 3)\\\\y -7 =\frac{-1}{3}x -3*\frac{-1}{3}\\\\y -7=\frac{-1}{3}x+1\\\\y = \frac{-1}{3}x+1+7\\\\y=\frac{-1}{3}x+8[/tex]
Elena has 80 trading cards in her collection. If 15%
of her cards are baseball cards, how many of Elena’s trading cards are baseball cards?
3
4
of the rabbit cages. He will clean the rest of the rabbit cages on Friday. Which equation shows the total number of rabbit cages that will be cleaned on Friday?
Roni wants to write an equation to represent a proportional relationship that has a constant of proportionality equal to Start Fraction 7 over 25 End Fraction. She writes the equation y = x + Start Fraction 7 over 25 End Fraction. What error is Roni making?
A. She should have written y = negative x + StartFraction 7 over 25 EndFraction so that x and y have a constant sum.
B. She should have written x y = StartFraction 7 over 25 EndFraction so that x and y have a constant product.
C. She should have written y = StartFraction 7 over 25 EndFraction x so that x and y have a constant quotient.
D. She should have written y = StartFraction 7 over 25 EndFraction so that y has a constant value.
Answer:
The answer C
Step-by-step explanation: