The price of one pound of banana = b
As one pound of oranges costs $0.75 more than one pound of bananas, so, the price of one pound of orange = b+0.75.
The price of 3 pounds of banana = 3b,
and the price of 2 pounds of oranges = 2(b+0.75).
Now, as she pays $4.50 for 3 pounds of bananas and 2 pounds of oranges.
So, for this situation the required equation is
3b + 2(b+0.75) =4.5
On solving this equation, we have
[tex]\Rightarrow 3b+2b+2\times0.75=4.5[/tex]
[tex]\Rightarrow 5b +1.5=4.5[/tex]
[tex]\Rightarrow 5b =4.5-1.5=3[/tex]
[tex]\Rightarrow b =\frac 3 5=0.6[/tex]
Hence, the price of one pound of banana = $ 0.60
and the price of one pound of orange
=b+0.75= 0.60+0.75=$1.35.
Think about the expression (x-8)(x+4)
a) For what values of x will this expression be
(b) Write this product as an equivalent trinomial. equal to zero? Show how you arrived at your answer.
Show that this trinomial is also equal to zero at the larger value of x from part (a).
This is not a multiple choice question. Please help if you know how to do it.
See attachment for math work and answer.
a) The expression will be zero when x = -4 or 8
b) The trinomial equivalent of the expression is x² - 4x - 32
c) The trinomial equals to zero when x = 8
The given expression is (x - 8)(x + 4)
a) For what value of x will the expression be equal to zero
(x - 8)(x + 4) = 0
This can be split into:
x - 8 = 0
That is, x = 8
x + 4 = 0
That is, x = -4
The expression (x - 8)(x + 4) equals to zero when x = -4 or x = 8
b) Write this product as an equivalent trinomial.
A trinomial is a polynomial expression with three terms
Expand (x - 8)(x + 4)
x² + 4x - 8x - 32
x² - 4x - 32
c) Show that this trinomial is also equal to zero at the larger value of x from part (a)
The larger value of x from part (a) is 8
Substitute x = 8 into x² - 4x - 32
8² - 4(8) - 32
= 64 - 32 - 32
= 0
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PLZ ANSWER THIS QUICK! THANK U!!
Rhode Island has a population of about 60,000 8th graders in the state. New Jersey has a total of 920,000 8th graders. Calculate the difference in Rhode Island and New Jersey's state's population of 8th graders. Express your final answer in scientific notation.
Answer:
8.6 × 10^5
Step-by-step explanation:
New Jersey 8th graders = 920,000
Rhode island 8th graders = 60,000
Difference in Rhode island 8th graders and New Jersey 8th graders population
= 920,000 - 60,000
= 860,000
Answer in scientific notation
860,000
The decimal point will move 5 places in
= 8.6 × 10^5
Write the equation in vertex form using the following information: vertex (4, -6) and a=1.
Submit
Answer:
y = (x - 4)² - 6Step-by-step explanation:
An equation of a quadratic function in a vertex form is y=a(x-h)²+k, where vertex is (h, k)
vertex (4, -6) means h = 4 and k = - 6
So:
y = 1(x - 4)² + (-6)
y = (x - 4)² - 6
need help with questions................
Answer:
not a function
Step-by-step explanation:
you can not have one-to-many
there is two 3 in the X column
helppp someone!!! i’ll mark brainliest!!!
Answer:
I think the answer is A. since the exponents inside the equation are negative, and the outside exponents are positive
Step-by-step explanation:
I need helppppp rightttt nowwwwww
Answer:
ruler(×,y)=(20,20)
Step-by-step explanation:
sorry if its wrong
anyways are you using a mac?
Ok I have a couple of questions please help on the one you know please!!
Answer to Roberto's question:
4
Step-by-step explanation:
I'm not sure how to explain this one (my apologies).
Answer to Parallelogram JKLM question:
Q = 110° & ST = 9 ft
Explanation:
When reflecting this, the angle/side lengths remain the same. That means the information is going to be the exact same. All you have to do is figure out what corresponds to what from JKLM to QTSR.
If we reflect a figure across a horizontal reflection line through its center, the figure will just flip sides. Making L = K, M = J, and so on.
Basically, flip the shape upside down for this problem, and look at that and the shape without angles, find the corresponding letter to the angle to get your answer. In this case, Q is that corresponding letter. Meaning your answer for Q = 110°
When it comes to figuring out ST, since the shape is just flipped and all the lines making the parallelogram are equal to each other, the feet remains the same. Meaning ST = 9 ft.
Answer for a triangle with vertices equation:
(-6,7) (2,8) (-4,3)
This one I didn't know how to do but I looked up the problem and this was the answer.
Answer to Hailey's plywood question:
7 inches
Explanation:
This one's a trick question. The size of an object does not change no matter how much you rotate it. Therefore the answer is going to be the same.
Sorry this took so long, hope I helped!
Audrey and Addy also went hiking up Mount Olympus. Audrey's distance in June was 2.95 miles and for July 2 5/8 miles. Addy went 2.85 miles in June and 3 3/8 miles in July. How much farther did Addy hike than Audrey in both June and July? *Answer will be in decimal form
Answer:
Addy hiked 0.65 miles more than Audrey.
Step-by-step explanation:
In June we have the following distance traveled by Audrey (Au) and Addy (Ad):
[tex] Au_{Jun} = 2.95 miles [/tex]
[tex] Ad_{Jun} = 2.85 miles [/tex]
And, in July we have:
[tex] Au_{Jul} = 2 + 5/8 miles = 21/8 miles = 2.625 miles [/tex]
[tex] Ad_{Jul} = 3 + 3/8 miles = 27/8 miles = 3.375 miles [/tex]
Hence in June and July, they traveled:
[tex] Au_{T} = Au_{Jun} + Au_{Jul} = 2.95 miles + 2.625 miles = 5.575 miles [/tex]
[tex] Ad_{T} = Ad_{Jun} + Ad_{Jul} = 2.85 miles + 3.375 miles = 6.225 miles [/tex]
Now, we can find how much farther did Addy hike than Audrey in both June and July:
[tex] d = Ad_{T} - Au_{T} = 6.225 miles - 5.575 miles = 0.65 miles [/tex]
Therefore, Addy hiked 0.65 miles more than Audrey.
I hope it helps you!
Ms. Pecho currently owes $637.50 simple interest
on a loan of $2500 at an annual interest rate of
17%. How long has she had the loan?
Answer:
Step-by-step explanation:1
1/2 years which is 1 year and 5 months.
Explanation:
The formula for simple interest is
You can either substitute the given values first and the solve for
T, or you can transpose the formula to have
T as the subject.
T=100xSIPR
T=100 x 637.50
T=100×637.502500×17
T=1.5
As time is always in years, this means it was for
112 years which is 1 year and 5
months
Can someone please help me please asap ?? I’ll mark brainlist !!!
Answer:
C
Step-by-step explanation:
At the grocery store, Mr. and Mrs. Bailey bought 24 apples and 18 pears. Write a ratio in simplest form to compare apples and pears.
Answer:
4:3
Step-by-step explanation:
Legit just simplified it.The original ratio is 24:18. First found the greatest common multiple (GCF) and divided both by it. In this case it was 6. So 24/6 = 4 and 18/6 = 3. Now your newly simplified ratio of apples to pears is 4:3.
A pentagon has two exterior angles that measure (3x)°, two exterior angles that measure (2x+22)°, and an exterior angle that measures (x+41)°. If all of these angles have different vertices, what is the measure of the smallest exterior angle? 25°25 degrees 66°66 degrees 75°75 degrees 72°
Answer:
2(3x)+2(2x+22)+x+41=360°
Step-by-step explanation:
Sum of exterior angles of any polygon is 360°.
So if we add up all five exterior angles of the pentagon, we have
plz help me!! Polynomial Long Division (Level 1)
Answer:
x² + x + 1
Step-by-step explanation:
are some integers irrational
Raul has 50 coupon books to sell.
The total amount of money Raul will make from selling X coupon books is represented by a function.
f(x)=20x
What is the practical domain of the function?
Answer: Domain: {x : 0≤ x ≤50 }
Step-by-step explanation:
Given: The total amount of money Raul will make from selling X coupon books is represented by a function.
[tex]f(x)=20x[/tex]
Domain is the set of x values in a function for which it is defined.Here, X= Number of coupon books .
Raul has 50 coupon books to sell.
So, 0≤ x ≤50 , as it is possible that non of that book will sell.
Hence, Domain: {x : 0≤ x ≤50 }
Lisa went to the hardware store and bought 12 pieces rope. Each rope was 3/4 of a meter long. If the rope cost $3.50 a meter, how much did she spend?
Answer:
(B) 31.5
Step-by-step explanation:
Please help me with the question! Please!!
Answer:
Slope is 3 and y-intercept is 2
Step-by-step explanation:
When you do slope formula, you get 3 and on the table it says (0, 2) which is the y-intercept
Consider the function rule: y = 9x – 7
What is the value of y when x=4?
What is the value
PLEASE HELP!!! IF YOU GIT IT RIGHT I WILL GIVE YOU 90 BRANLY POINTS !!! Which of the following equations is not a proportion? 14/7 = 7/3.5, 1.5/3 = 3/9, 22/33 = 4/6, 2/3 = 142/213
Answer:
1.5/3=3/9
Step-by-step explanation:
1.5/3=1/2 when 3/9=1/3
I hope this helps :)
Answer:
1.5/3 = 3/9 is not a proportion
Step-by-step explanation:
1.5/3 = 3/9
1.5 divide by 3 is 1/2 but 3 divide by 9 is 1/3 which makes it not proportional
Halp meh pls... Which statement verifies that f(x) and g(x) are inverses of each other?
f(g(x))=x
f(g(x))=x and g(f(x))= -x
f(g(x))=x = 1/f(g(x))
f(g(x))=x and g(f(x))=x
The function pairs are inverses as f(x) = 2x-3 and g(x)=(x+3)/2. The correct answer would be an option (D).
What is an inverse function?The inverse function is defined as a function obtained by reversing the given function. To determine the inverse of a function, all you have to do is switch where x and y are and resolve for y.
As per the options, we have
f(g(x))=x is expressing f is the inverse of g.
f(g(x))=x is expressing f is the inverse of g but g is not the inverse of f, g(f(x))≠x.
f(g(x))= g(f(x)) is expressing the composition of functions f(g(x)) is equal to the composition of functions g(f(x)), but not necessarily inverses. It doesn't define each equal x.
f(g(x))=x and g(f(x)) =x is expressing f is the inverse of g and g is the inverse of f.
Thus, the function pairs are inverses as f(x) = 2x-3 and g(x)=(x+3)/2.
Hence, the correct answer would be an option (D).
Learn more about inverse functions here:
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Write the product as a power.
10 X 10 X 10 =
Answer:
10^3
Step-by-step explanation:
Answer:
10^3
Step-by-step explanation:
count how many 10s are there and that is the answer
(there are 3 tens so put the power as 3)
To check 10 X 10 X 10 is 1000
10^3 is 1000
The temperature in Monarch, Wisconsin, was -3° F at 6:00 a.m. The temperature rose 12 degrees in 9 hours. What was the temperature in Monarch at 3:00p.m.?
Answer:
9 degrees
Step-by-step explanation:
The temperatire was -3 and then rose by 12, -3 + 12 = 9
Determine whether the two lines are parallel, perpendicular, coinciding, or only intersecting.
y = - 3x + 5
9x + 3y = 2
Answer:
parallel
Step-by-step explanation:
if you convert the second equation it will be y=-3x+2/3, meaning they have the same slope making them parallel
HELP ASAP
Solve the equation for k:
p= k/K + t
Answer:
k = p(K+t)
Step-by-step explanation:
p = k/K+t // × (K+t)
p(K+t) = k
Answer:
k = K p - K t
Step-by-step explanation:
Solve for k:
p = k/K + t
p = k/K + t is equivalent to k/K + t = p:
k/K + t = p
Subtract t from both sides:
k/K = -t + p
Multiply both sides by K:
Answer: k = K p - K t
How many 180, degrees angles does it take to make a full turn?
Answer:
2 times
Step-by-step explanation:
you do the equation 180 + 180 and get 360 or you can multiply 180 x 2 and get 360. Hope this helps you!
Help!! Show all work
Answer:
I used a math calculator by a math calculator service
Step-by-step explanation:
Cindy deposited $350 into a savings account. As long as the account balance remains at or above $200, she does not have to pay a service fee for the account. For how long can she withdraw $30 a month without having to pay service fees? A) 5 months B) 6 months C) 7 months D) 8 months E) 9 months
Answer:
5 months
Step-by-step explanation:
Cindy deposited $350 into a savings account
The acct balance remains above $200
We are required to find the number of months that it will take to $30 a month
Let y represent the number of months
y × 30 < 350-200
30y < 150
Divide both sides by the coefficient of y which is 30
30y/30 < 150/30
y < 5
Hence the number of months required is 5 months
why is it better to use the metric system rather than the English system in scientific measurement.
A. the English system uses one unit for each category of measurement
B.the metric system uses one unit for each category of measurement
C. the English system uses consistent fractions that are multiples of 10
D. the metric system utilizes a variety of number conversions
Answer:
B
Step-by-step explanation:
The metric system uses one unit for each category of measurement.
if 3n-4=8 then what is the value of 5n-3