Answer:
See solutions below
Step-by-step explanation:
1) Total amount of gallons = 14 gallons
If she uses up 0.75 gallons of gas each hour then;
1 hour = 0.75gallons
after driving 6 hours, amount of gallons used will be;
6 hours = x
Divide both expressions
1/6 = 0.75/x
x = 6 * 0.75
x = 4.5gallons
Amount of gas left = 14 - 4.5 = 9.5 gallons of gas
Hence 9.5 gallons of gas will be left after 6 hrs
Similarly;
1 hour = 0.75gallons
after driving t hours, amount of gallons used will be;
t hours = x
x = 0.75t
Amount of gas left after t hours = (14 - 0.75t) gallons of gas
2) We are to find the sum of -8x^2+3 and -9x^2+3x-3
-8x^2+3 + (-9x^2+3x-3)
= 8x^2+3 -9x^2+3x-3
Collect like terms
= 8x^2 -9x^2+3x + 3-3
= -x^2 + 3x
Hence the sum is -x²+3x
3) Expressing in standard form;
(-3x-5)(-x^2+x-5)
Expand
= 3x³-3x²+15x+5x²-5x+25
Collect like terms
= 3x³-3x²+5x²+15x-5x+25
= 3x³+2x² + 10x + 25
Hence the product in polynomial form is 3x³+2x² + 10x + 25
Judy ran the distance s. Monday 0.35, Wednesday 0.2 and Friday 0.25. write the total distance in miles as a fraction in simplest form
Answer:
4/5
Step-by-step explanation:
0.35 + 0.2 + 0.25 = 0.80
Select the correct answer. If and , what is the domain of f(x) ÷ g(x)? A. all values of x B. (, -1), (-1, 2), and (2, ) C. (, 2) and (2, ) D. (, -1] and [2, )
Answer:
b
Step-by-step explanation:
Answer:
(-∞, -1) (-1, 2) (2, ∞)
Step-by-step explanation:
MARKING BRAINLY ASAP
Answer:
https://brainly.com/question/20936691
I answered it here, but you might have to search the answers for part A. Sorry.
s: There are 347 sixth grade students.They are going on a class trip to bush Gardens
. Each bus holds 32 students How many buses are needed? Will all the seats
be filled? If not, how many will Empty.
Answer: They would need 11 buses, and no, the seats will not be completely filled and five seats would be empty,
Step-by-step explanation:
Sorry if this didn’t help as much
What number is equivalent to 47/9
Answer:
[tex]\frac{47}{9}[/tex] = 5 [tex]\frac{2}{9}[/tex]
5 2/9 [tw0 0ver nine]
h0pe this is c0rrect l0l-
Mark has already earned money for mowing lawns over the summer when he takes a job at the local grocery store, earning $9.50 per hour. After working 16 hours at the grocery store, Mark has earned a total of $292. Write a linear equation to represent the amount of money m that Mark has earned this summer after working h hours at the grocery store.
Step-by-step explanation:
M=9.5 (16,292)
(y=mx+b)
292=9.5(16)+b
The linear equation m = 9.50 h + 140 represents the amount of money m that Mark has earned this summer after working h hours at the grocery store.
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
Mark takes a job at the local grocery store, earning $9.50 per hour.
After working 16 hours at the grocery store, he earned a total of $292.
As per the given question, we can see points (16, 292)
Here earning $9.50 per hour can represent a slope of a linear function
Thus, M = 9.5 (16, 292)
The standard linear equation is given by,
⇒ m = Mx+b ....(i)
Substitute the values in the above equation,
292 = 9.5(16) + b
b = 292 - 152
b = 140
Substitute the value b = 140 in the equation(i),
⇒ m = 9.50 h + 140
Thus, the linear equation m = 9.50 h + 140 represents the amount of money.
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A professor in one city earns $61,000 a year. A bioengineer earns $95,750. A nurse earns $50,600. What is the difference in salary between the professor and nurse?
Answer:
The difference is 10,400$.
Step-by-step explanation:
$61,000-$50,600=$10,400
PLEASE HELP! i have to turn this in by the end of the day. PLEASE DONT GUESS :)
Help me solve this plz 7(3x+6)=11-(x+2)
Answer:
i think - 3/2
Step-by-step explanation:
solve for e
3 + 8e + 5 = -3e +13 + 10e
What is the perimeter of the figure
Answer:
38m
Step-by-step explanation:
the top side is equal to
2 + 5 + 1 = 8
the perimeter:
9 + 7 + 8 + 2 + 4 + 5 + 2 + 1 = 38
What is the value of 16 • 2-2?
Answer:
= 30
Step-by-step explanation:
Distribute -3(2n + 8)
Answer:
-6n - 24
Step-by-step explanation:
-3(2n) = -6n
-3(8) = -24
If mQOS = 46, and mPOR = 61
and mPOQ = 28, what is mROS?
Answer:
ROS = 225°
Step-by-step explanation:
The four corners of the squares add up to 360°
Hope it helps you
Angles at a point add up to [tex]360^o[/tex]. The measure of [tex]m\angle ROS[/tex] is [tex]225^o[/tex]
Given that:
[tex]m\angle QOS = 46^o[/tex]
[tex]m\angle POR = 61^o[/tex]
[tex]m\angle POQ = 28^o[/tex]
The 4 angles (i.e. QOS, POR, POQ and ROS) are all angles at a point (i.e. point O).
This means that we can apply the angle at a point theorem.
The theorem is represented as:
[tex]m\angle QOS +m\angle POR +m\angle POQ + m\angle ROS = 360^o[/tex] --- i.e. angles at a point add up to [tex]360^o[/tex]
So, we have:
[tex]46^o + 61^o + 28^o + m\angle ROS = 360^o[/tex]
[tex]135^o + m\angle ROS = 360^o[/tex]
Collect like terms
[tex]m\angle ROS = 360^o -135^o[/tex]
[tex]m\angle ROS = 225^o[/tex]
Hence, the measure of [tex]m\angle ROS[/tex] is [tex]225^o[/tex]
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PLS HELP GIVING BRANLIEST AND GIVING 25 PTS PLS HELPP!!!!
Answer:
108.0625
Step-by-step explanation:
Add all the differences to the initial value
Please answer number 3 please
Answer:
3.
a) False
b) False
c) False
d) True
e) False
Answer: FALSE, FALSE, FALSE (there is a bar under the > sign which means it can be equal), TRUE, FALSE (if 34 is the solution then it equals x, and that number would be multiplied by five and added to one, which is well over 35)
Evaluate the expression when b=2 .
b⋅5 =
Answer:
Answer:
[tex]b*5 = 10[/tex]
Step-by-step explanation:
Given
[tex]b = 2[/tex]
Required
Evaluate [tex]b*5[/tex]
To do this, we simply substitute 2 for b in [tex]b*5[/tex]
[tex]b*5 = 2 * 5[/tex]
[tex]b*5 = 10[/tex]
The result of the expression is 10
A car travels at an average speed of 56 miles per hour. How long does it take to travel 266 miles?
Answer:
Answer is 4hrs 45 mins
Step-by-step explanation:
Time=Distance/speed
Time=266/56
Time=4.75hrs
Time=4hrs 45mins.
I hope this helps!
:-)
Circle O has a center at (-2, -2) and a diameter of 10 units. Which point lies on circle O ?
Answer:
Step-by-step explanation:
Many points lie circle O
The points with a distance of 10 units will be on the circle
eg. (8,-2) or (4,6) both lie on the circle as they have a distance of 10 units from the center.
Kiran is getting dinner for his drama club on the evening of their final rehearsal.
The budget for dinner is $60.
Kiran plans to buy some prepared dishes from a supermarket. The prepared dishes are sold by the pound, at $5.29 a pound. Kiran also plans to buy two large bottles of sparkling water at $2.49 each.
What is the maximum number of pounds of prepared dishes can Kiran purchase and stay within the budget?
Jackson is given the expression below to simplify.
9x - 4 + 4x + 5x + 19
Which expression is equivalent to Jackson's expression?
0 3(6x + 5)
0 18x + 23
05(x + 2)
0 14x + 19
Answer:
it should be 3(6x+5)
Step-by-step explanation:
3(6x + 5) will be equivalent expression of 9x - 4 + 4x + 5x + 19 so option (A) will be correct.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
Given the expression,
9x - 4 + 4x + 5x + 19
By adding variables and constants individually
(9x + 4x + 5x) + (-4 + 19)
⇒ 18x + 15
Taking common 3
⇒ 3(6x + 5)
Hence "3(6x + 5) will be equivalent expression of 9x - 4 + 4x + 5x + 19".
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Find the annual premium for the insurance policy described in the following problem.
A policy for 10/20 bodily injury auto insurance for a driver in Class 1A.
317.80
365.40
383.60
440.70
Answer:
317.80
Step-by-step explanation:
help i don’t know how to do this
Answer: E and F
Step-by-step explanation:
really long story, but those two are the correct answers. hope this helps! :)
If x-6= 3, what is the value of x + 2
Answer:
since X would be equal to 9, x + 2 would be equal to 11
Everything in a store that is going out of business is on sale for a 60% discount.
Janine wants to buy a power drill priced at $67.99 and a set of drill bits priced at
$18.49. The sales tax is 7%. How much will Janine pay for everything after the
discount and sales tax are applied? *
Answer:
37.02
Step-by-step explanation:
that's the answer, hoped it helped :)
Which answer is a solution for x?
X/7= 8
A 8
B 15
C 48
D 56
HELP MEH PLS PLS ASAP PLEASE
The table below represents some points on the graph of a linear function. Which function represents the same relationship?
Answer:
3rd is the answer
Step-by-step explanation:
caculator duhhhhhhhhhh
Which is bigger 1/4 or 0.21
Answer:
1/4
Step-by-step explanation:
1/4=0.25
The number of tourists visiting a city doubles every month during the two-month period beginning in Jan, 1st and ending
in Feb, 28th each year, if the number of tourists who visited the city in the beginning of January in that particular year was
x, how many tourists visited the city at the end of February that year?
The number of tourists who visited the city at the end of February that year is 4x.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The number of tourists visiting the city doubles every month, which means the number of tourists at the end of January is 2 times the number of tourists at the beginning of January, or 2x.
Similarly, the number of tourists at the end of February is 2 times the number of tourists at the end of January, or 2(2x) = 4x.
Therefore,
The number of tourists who visited the city at the end of February that year is 4x.
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Could you help me plz
Answer:
Step-by-step explanation:
(For a circle)
Circumference formula: π*2r
Area formula: π*r^2
1:
A)
π*2(3) =>6π=>18.84 m
B)
π*(3)^2=>9π=>28.27 m^2
2.
A)
π*2(3.1)=>6.2π=>19.47 m
B)
π*(3.1)^2=>9.61π=>30.19 m^2