Write -7 / 9 as a rational number 3 different ways.
Steve leaves the corner of First and Maple on his bicycle and travels an average speed of 9 mi/hr. Two hours later,his brother leaves from First and Maple, following him on a moped traveling 27 mi/hr. How long will it take him to catch up with steve?
Answer:
Two hours later his brother leaves from first and maple and comes after him on a moped travelling 27 mph, His uphill speed was 8 miles per hour slower than his downhill speed.
Step-by-step explanation:
Simplify the following by subtracting the exponents. I will give brainlist
Answer:
1. r^5
2. st^2
3. qr (the two "s" cancel each other out)
4. z (the x^2's and y^2's cancel each other out)
5. m (the n^2's and o's cancel each other out)
6. x
7. z^-1
8. a (the b^2's cancel each other out)
9. d^4 f^2
Step-by-step explanation:
When exponential variables are divided, the base variable stays the same, and the exponents are subtracted. For example, for #6, x^2/x^1 (x doesn't need an exponent but for the sake of explanation is ^1). We subtract the exponents and since anything "to the power of 1" will just be the base number, for example 6^1 will still be 6.
The simplified expressions are given below.
What are Exponents?Exponents are the method of writing numbers, especially large numbers, in terms of a base and an exponent, which is written as the power of base.
1) We have the division rule of exponents that,
xᵃ / xᵇ = xᵃ⁻ᵇ
Using this,
r⁶ / r = r⁶⁻¹ = r⁵
2) s³t⁴ / s²t² = s³⁻² t⁴⁻² = st²
3) q³r²s / q²rs = q³⁻²r²⁻¹s¹⁻¹ = qr
s⁰ = 1, since any number raised to zero is always one.
4) x²y²z / x²y²z
Both numerator and denominator are same.
So the quotient is 1.
5) m³n²o / m²n²o
n²o gets cancelled both in the numerator and denominator.
m³n²o / m²n²o = m³⁻² = m
6) x² / x = x²⁻¹ = x
7) z⁴ / z⁵ = z⁴⁻⁵ = z⁻¹
8) a²b² / ab²
b² gets cancelled since they are same in both numerator and denominator.
a²b² / ab² = a²⁻¹ = a
9) d⁵f³ / df = d⁵⁻¹f³⁻¹ = d⁴f²
Hence the simplified form of each of the expressions is given.
Learn more about Exponents here :
https://brainly.com/question/27850853
#SPJ3
Musi measured the length and width of a soccer field and then made a drawing of the soccer field . He decided to use 1 mm on his ruler to represent 3 m on the soccer field. If his measurement of the width of the soccer field was 63m , what is the width of his drwaing?
If his measurement of the width of the soccer field was 63m , the width of Musi's drawing for a 63 m wide soccer field is 21 mm.
Musi's ruler represents 1 mm as 3 m on the soccer field. To find the width of his drawing for a 63 m wide soccer field, we can set up a proportion to relate the real width to the width on his drawing.
Let "x" represent the width of his drawing in millimeters.
The proportion can be set up as follows:
1 mm (on the drawing) / x mm (real width on the field) = 3 m (on the drawing) / 63 m (real width on the field)
Now, cross-multiply and solve for "x":
1 * 63 m = 3 * x mm
63 = 3x
Divide both sides by 3 to find the width of his drawing:
x = 63 / 3
x = 21
So, the width of Musi's drawing for a 63 m wide soccer field is 21 mm.
In summary, Musi used a scale of 1 mm to represent 3 m on the soccer field. Therefore, the width of his drawing for a 63 m wide soccer field is 21 mm.
To learn more about scale click on,
https://brainly.com/question/28720090
#SPJ4
draw a suitable line on the grid and use your graphs to solve the equation 2/x - x^2 =5x
Answer:
I graphed the answer above in the image
I need help please can anyone help.
Answer:
What do you need help on there’s nothing??
Find -3A+6B ...........
Which sentence best describe multiples of 5
which one? A? B? C? or D? help me pleaseee
Answer:
I'm pretty sure it's C I may be wrong though
Step-by-step explanation:
the cost of an ad is $1 for every 5 words. If Maria wants to spend no more than $15 dollars on her ad, how many words w can she use?
Answer:
75 words
Step-by-step explanation:
15*5=75
each dollar is five words, so times five by fifteen to get the number of words she can use.
What is the best choice for the equation of the line of best fit shown?
Note that this estimate would be a strong prediction since it is an interpolation (between data points) and the graph shows fairly strong negative correlation.
a) y = -2.5x + 25
b) y = -1.5x +23
c) y = 1.5x + 23
d) y = -2.5x + 15
Answer:
What is the best choice for the equation of the line of best fit shown?
b) y = -1.5x + 23
What would the value of y be for a point at x = 8?
b) 11
Did this on EDGE!
The best choice for the equation of the line shown in the graph is y = -1.5x + 23. the correct option is B.
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
In the given graph the data is varying along the line y = -1.5x + 23. Where y is the dependent variable and x is the independent variable.
Therefore, the correct option is B.
To know more about equations follow
https://brainly.com/question/2972832
#SPJ5
What is 1.07 + 42.5 HELP PLSSSSSSSSSSSS
Answer:
43.57
Step-by-step explanation:
Line up the decimal points.
Add a 0 for 1.07 so the numbers have the same length.
01 . 0 7
42. 5 0
-------------
43.57
Answer:
1.07+42.5
=1.07+42.5
=43.57
Step-by-step explanation:
Add the numbers
Make 42.5 equal to 42.50 for better understanding when calculating
9. Jerry's bedroom is square. He has a square desk that has an area of 1000 cm2. The area
of the bedroom is 16 times as large as the area of the desk. What is the side length of the
bedroom?
Answer: 126.49 cm [A VERY small bedroom]
Step-by-step explanation:
The area of the square bedroom is 16 times larger than Jerry's 1000 cm^2 desk. That makes his bedroom 16000 cm^2, It is square, so each side, x, is the same: x^2 = 16000 cm^2; x = 126.49 cm.
For reference, 126.49cm is 4.14 feet.
George found a job posting on an Internet website. The job pays a yearly salary of $60K. What is the monthly salary based on this annual salary?
plzzzzzzzzzzzzzzzzz help me
Answer:
5k a month
Step-by-step explanation:
What is the vertex form of the function: f(x) = -12x - 6x^2- 13?
Answer:
f(x)=-6*(x+1)^2+-7
Step-by-step explanation:
This is because the vertex is at (-1|-7)
f(x)=-6*x^2+-12*x+-13
f(x)=-6*(x^2+2*x+13/6) ( Factor out )
f(x)=-6*(x^2+2*x+(1)^2+-1*(1)^2+13/6) ( Complete the square )
f(x)=-6*((x+1)^2+-1*(1)^2+13/6) ( Use the binomial formula )
f(x)=-6*((x+1)^2+1*7/6) ( simplify )
f(x)=-6*(x+1)^2+-7 ( expand )
Hope this Helps
[tex]14x=8x+30[/tex]
Answer:
5
Step-by-step explanation:
14x - 8x = 30
5x = 30
x = 6
..........
Answer:
solution
14x=8x+30
collect like terms
30=8x-14x
30= -6x
divide by -6x
30/-6 = -6x/-6
X= –5
I need a answer PLEASE
Answer:
it's the third one. x=47/3
Step-by-step explanation:
if needed in decimal form: 15.666
mixed number form: 15 2/3
3/4 x 28= 1/3 of y state y? Please im in a hurry
1. Sara has 8 cents. Zach has double
plus 2 of what Sara has.
How much money does Zach have?
Dan the Donut man has to buy the donut machine for 89 dollars. He then can make donuts and sell them for 2 dollars a person. How many donuts does he need to sell to make at least
$231?
Answer:
161 donuts
Step-by-step explanation:
(231+89)/2 then add one more donut as the question asked for at least $231
320/2 = 160 + one more donut = 161 donuts have to sold to make at least $231.
You have add the machine price as he wouldn't be making a profit off it if he didn't surpass what he spent for it.
Check your work by doing 161 times 2 minus 89 minus the 1 donut added and you'll get the $231. Not subtracting the one shows the profit of a dollar aka at least $231
the fraction 11 of 9 lies between
Answer:
1.222.......
Step-by-step explanation:
11/9=1.2222
so it is between 1&2
Help in this as well
Answer:
b 321 and 322
Step-by-step explanation:
because 321.5 is between 321 and 322
Which of the following represents the area of a rectangle whose length is x − 6 and whose width is x − 8? (1 point)
x2− 14x − 48
x2+ 48
x2− 48
x2− 14x + 48
Answer:
x²-14x+48
Step-by-step explanation:
Area= Length × Width
Area= x-6 × x-8
Area= (x-6)(x-8)
Area= x²-8x-6x+48
Area= x²-14x+48
Hope this helped you- have a good day bro cya)
Can someone help me answer this question
Answer:15 should be on the x and add all together with the 69
Step-by-step explanation:
Challenge A large university accepts 40% of the students who apply. Of the students the
university accepts, 40% actually enroll. If 30,000 students apply, how many actually enroll?
students would actually enroll. (Type a whole number.)
Answer:
4,800 student's actually enroll.
Step-by-step explanation:
40% of 30,000 is 12,000.
40% of 12,000 is 4,800.
A water tank has two valves, one for inlet pipe and the other is outlet pipe. If the tank is empty the inlet valve is
opened, the tank will be full of water after 5 hours. If the tank is full and the outlet valved is opened, the tank
will be emptied in 8 hours. Suppose the tank is empty and both valves are opened, in how many hours will the
tank be full?
Let V be the volume of the tank. The inlet pipe fills the tank at a rate of
V / (5 hours) = 0.2V / hour
and the outlet pipe drains it at a rate of
V / (8 hours) = 0.125V / hour
With both valves open, the net rate of water entering the tank is
(0.2V - 0.125V ) / hour = 0.075V / hour
If t is the time it takes for the tank to be full, then
(0.075V ) / hour • t = V
Solve for t :
t = V / ((0.075V ) / hour)
t = 1/0.075 hour
t ≈ 13.333 hours
answer po plss plssplsss
Answer:
I'll answer 6 to 10 cuz that's only what I'm able to see
Step-by-step explanation:
6.
Y-Z
= {6,4,7,2,8,3} - {2,7,8,9,10}
= {6,4,3}
7.
( Y ∪ Z ) ∩ X
= ( {6,4,7,2,8,3} ∪ {2,7,8,9,10} ) ∩ {1, 2,3,5,8}
= { 2,3,4,6,7,8,9,10} ∩ {1, 2,3,5,8}
= {2,3,5,8}
8.
( X ∪ Y ) ∩ ( Y ∪ Z )
= ( {1, 2,3,5,8} ∪ {6,4,7,2,8,3} ) ∩ ( {6,4,7,2,8,3} ∪ {2,7,8,9,10} )
= {1,2,3,4,5,6,7,8} ∩ {2,3,4,6,7,8,9,10}
= {2,3,4,6,7,8}
9.
( X ∩ Z ) ∪ ( X ∩ Y )
= ( {1,2,3,5,8} ∩ {2,7,8,9,10} ) ∪ ( {1,2,3,5,8} ∩ {6,4,7,2,8,3} )
= {2,8} ∪ {3,8}
= {2,3,8}
10.
( X ∪ Y ) ∩ Z
= ( {1,2,3,5,8} ∪ {6,4,7,2,8,3} ) ∩ {2,7,8,9,10}
= {1,2,3,4,5,6,7,8} ∩ {2,7,8,9,10}
= {2,7,8}
PLS HELP IVE BEEN STRUGGLING WITH THIS TOPIC TYSM ILL MARK BRAINLIEST
Answer:
The answer would be 32
Step-by-step explanation:
equation would be: 6+2(12+1)
which then turns into 6+24+2
which equals 32
Answer:
32
Step-by-step explanation:
Since a = 3, b = 4, and c = -1
The Equation is:
= 2 × (3) + 2 × [(3) × (4) - (-1)]
= 6 + 2 × [12 - (-1)]
= 6 + 2 × (12 + 1)
= 6 + 2 × 13
= 6 + 26
= 32
twenty four less than two times a number x.. pls help.
Answer:
24-2x
Step-by-step explanation:
Answer:
The equation is written as follows:
2x-24
Jeandre said |6| equals |−6|. Is Jeandre correct? Complete the explanation.