Answer:
$82 sundaes
$74 banana split
Step-by-step explanation:
Step one :
Given data
Cost of sundaes =$2 each
Cost of banana split =$3 each
Let the number of sundaes bought be x
And the number of banana split bought be y
The total is x+y
The shop sold 8 more Sundaes than the Banana split
x=8+y—-------1
Total amount made = $156
Therefore the system of equation for the situation is
x=8+y----—----------1
2x+3y=156---------2
But x=8+y
8+y+y=156
8+2y=156
2y=156-8
2y=148
Divide both sides by 2
y=148/2
y=74
On That day they sold $74 banana split
And also they sold x=8+74=$82 sundaes
what is the quotient of -0.05 ÷ -5/16
Answer:
Step-by-step explanation:
-0.05 you will multiply with reversal of -5/16
-0.05 x (-16/5)= 0.01x16=0.16
An item cost 460 before tax and the sales tax is 32.20 find the sales tax rate write your answer as a percentage
Answer:
7%
Step-by-step explanation:
The total surface area of a cone whose radius is 2 r and slant height 2l is
(A) 2πr (l + r)
(B) πr (l + 4 r )
(C) πr (l + r)
(D) 2πrl
please answer urgent
Answer:
[tex]A=4\pi r(l+r)[/tex]
Step-by-step explanation:
The total surface area of a cone is given by :
[tex]A=\pi rl+\pi r^2\\\\=\pi r(l+r)[/tex]
Put r = 2r and l = 2l in the above formula
[tex]A=\pi \times 2r(2l+2r)\\\\A=2\pi r(2l+2r)\\\\=2\pi r \times 2(l+r)\\\\=4\pi r(l+r)[/tex]
Hence, the total surface area of the cone is [tex]4\pi r(l+r)[/tex].
A complex number has a real part 4 and an imaginary part coefficient of -3. Which binomial is equivalent to this complex number?
Answer:
4-3i
Step-by-step explanation:
Here, we want to select the option that best correlate
The real and the complex part can be represented as;
a + bi
In this case, a is the real, b is the complex
So we have that;
Real part 4 and imaginary coefficient of 3
That will be
4 -3i
Answer:b
Step-by-step explanation:
Can you tell me the statements that are true?
Answer:
1=true
2=false
3=false
4=true
5=true
6=false
Step-by-step explanation:
hope this helps!:)
Greg invested $11,000 in two accounts.
• The first account pays 5% interest per year.
• The second account pays 8% interest per year.
Greg earned a total of $752.50 in interest at the end of the first year.
How much did Greg invest in the 5% account?
A) 6750
B) 3415
C) 5500
D) $4250
Answer:
D; $4,250
Step-by-step explanation:
Here, we want to know the amount that was invested in the 5% account
We proceed as follows;
Let the amount invested in the 5% interest account be $a and the amount invested in the 8% interest account be $b
We have it that the total investment amount is $11,000
Mathematically, since total is 11,000; we can add a and b to give this
a + b = 11,000 •••••••••(i)
Now, let us work with the interests
Interest earned will be;
Percentage of interest * Amount invested
For the 5% interest account, the interest earned will be;
5/100 * a = 5a/100 = 0.05a
For the 8% interest account , the interest earned will be;
8/100 * b = 0.08b
By adding the interests on both account, we can get the total amount of interest earned
We can have this as;
0.05a + 0.08b = 752.50 •••••(ii)
From equation i above;
b = 11,000 - a
Substitute this into ii
0.05a + 0.08(11,000-a) = 752.5
0.05a+ 880 - 0.08a = 752.5
0.08a-0.05a = 880-752.5
0.03a = 127.5
a = 127.5/0.03
a = $4,250
i need help on my math how
Answer:
OK!!!!!!!!!!!!!!!1
Step-by-step explanation:
Answer: What do you need help with? I think if you put out you will try and help.
If the domain of the function y =2x + a
is the set of all real numbers except x = 5, find the value of a.
Answer:
a=-10
Step-by-step explanation:
y=2x+a ,at x=5
y=2(5)+a
y=10+a
where y=0
10+a=0
a= -10
An elevator travels 310 feet in 10 seconds. At that speed, how far can this elevator travel in 14 seconds?
Answer:
434
Step-by-step explanation:
To find the answer you divide 310 by 10 to get it's feet per second (f/s) which is 31, and then you multiply 31 by 14 to get the distance the elevator will travel in 14 seconds.
Mark brainliest pls :)
Answer:
434 feet
Step-by-step explanation:
310 divided by 10 = 31
31 times 14 = 434 feet
if cos θ - sin θ = √2 sin θ, then prove that cos θ + sin θ = √2 cos θ.
Step-by-step explanation:
cos θ - sin θ = √2 sin θ
cos θ + sin θ = √2 sin θ + 2sin θ
cos θ + sin θ = √2(sin θ + √2sin θ)
cos θ + sin θ = √2 cos θ. (Proven)
Help!! 10 pts and brainliest!
Answer:
25 times larger
Step-by-step explanation:
hope this helped
At a regional soccer tournament, tickets for two adults and seven students cost $60. Tickets for three adults and eleven students cost $93. Determine the price of an adult ticket and the price of a student ticket.
The price of an adult ticket is $, and the price of a student ticket is $
Answer:
The price of an adult ticket is $9 and the price of a student ticket is $6
Step-by-step explanation:
Create a system of equations where x is the price of an adult ticket and y is the price of a student ticket:
2x + 7y = 60
3x + 11y = 93
Solve by elimination by multiplying the top equation by 3 and the bottom equation by -2, to cancel out the x terms:
6x + 21y = 180
-6x - 22y = -186
Add them together:
-y = -6
y = 6
Then, plug in 6 as y into one of the equations to solve for x:
2x + 7y = 60
2x + 7(6) = 60
2x + 42 = 60
2x = 18
x = 9
So, the price of an adult ticket is $9 and the price of a student ticket is $6
In the following table, y is a function of x. True or false: The table below represents a function.
PLEASE ANSWER I WILL GIVE BRAINLIEST
Answer:
24/32
Step-by-step explanation:
just multiply the bottom number until 32 the as much times you multiplie the denominator that how much times you multiplie the numerator
Answer:
6:8 = 24:32
Step-by-step explanation:
Write a fraction equal to 1 with a numerator of 18
Answer:
18/18
Step-by-step explanation:
18 divided by 18 is one
URGENT!!!!!!!!!! PLEASE HELP!!!
Answer:
F' would be (5,2)
G' would be (0,2)
H' would be (0,6)
hope this helps!
During the first week of a certain month, a computer store sells 11 computers. A sale begins on the second week of the week and during the second week the computer store sells 17 computers. What was the percent increase in sales from the first week of the month to the second week of the month ?
Answer:
The percentage increase in sales is 54.45%
Step-by-step explanation:
Here, we want to calculate the percentage increase
mathematically the increase in sales is 17-11 = 6
The percentage increase is ;
6/11 * 100% = 54.45%
What is the unit rate depicted in the graph?
On a coordinate plane, a graph titled Lap Times has minutes on the x-axis and Laps on the y-axis. A line goes through points (4, 3) and (8, 6).
0.75 laps in one minute
1.25 laps in one minute
3 laps in 4 minutes
4 laps in 3 minutes
Answer:might be wrong but the answer is C
Step-by-step explanation:
The Unit Rate depicted in the graph will be 0.75 laps in one minute, i.e. Option A.
What is Unit Rate?The Unit Rate is defined as means a rate for one of something, i.e. ratios of two quantities.
We have,
Minutes on the x-axis,
And,
Laps on the y-axis.
And,
A line goes through points (4, 3) and (8, 6),
x₁ = 4, x₂ = 8, y₁ = 3, y₂ = 6
Now,
So,
Unit rate for x₁ and y₁,
i.e.
[tex]\frac{y_1}{x_1} =\frac{3}{4}=0.75[/tex]
Now,
Unit rate for x₂ and y₂,
i.e.
[tex]\frac{y_2}{x_2} =\frac{6}{8}=0.75[/tex]
So,
The unit rate is 0.75 laps in one minute.
Hence, we can say that the Unit Rate depicted in the graph will be 0.75 laps in one minute, i.e. Option A.
To know more about Unit Rate click here
https://brainly.com/question/15491469
#SPJ2
A rectangle has an area of 135 ft 2 . What is the length, if the width is 9 ft?
Answer:
15 ft
Step-by-step explanation:
A=LxW
135 ft2 =m X 9ft
Divide 135 by 9
& that equals 15ft.
To check your answer, you multiply 15X9 and that equals 135. So the length of the rectangle is 15ft.
Xander is planning on building a house. The blueprints show a house that is 3 inches wide and 2 inches tall. The blueprints use a scale in which 14 inch represents 2 feet.
How wide and tall will the actual house be?
Drag and drop the height and width of the actual house into the boxes.
Answer:
16ft tall and 24ft wide
Step-by-step explanation:
Answer:
16ft 24ft
Step-by-step explanation:
i got the same qestion and its correct.
If 16 horses eat 5 stacks of hay in 35 days, how many horses can eat 4 stacks of hay in 8 days? Math question
Answer:
The number of horses that can eat 4 stacks of hay in 8 days = 56 horses
Step-by-step explanation:
The given parameters are;
The time it takes 16 horses to eat 5 stacks = 35 days
Therefore;
The time it takes 16 horses to eat 5/5 stacks (1 stack) = 35 days/5 = 7 days
The time it takes 16 horses to eat 1 stack of hay = 7 days
The time it takes 16 horses/16 to eat 1 stack of hay = 7 days × 16 = 112 days
Therefore;
The time it takes 1 horse to eat 1 stack of hay = 112 days
The time it takes 1 horse to eat 4 × 1 stack of hay = 112 days × 4 = 448 days
The time it takes 1 horse to eat 4 stacks of hay = 448 days
Therefore, given that (448 days)/(8 days/horse) = 56 horse, we have;
The number of horses that will eat 4 stacks of hay in 8 days = 56 horses.
let f(x)=3x+5 and g(x)=x^2 find (f-g)(x)
Answer:
(f - g)(x) = -x² + 3x + 5
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Function NotationCombining Like TermsStep-by-step explanation:
Step 1: Define
f(x) = 3x + 5
g(x) = x²
(f - g)(x) is f(x) - g(x)
Step 2: Find (f - g)(x)
Substitute: (f - g)(x) = 3x + 5 - x²Rewrite: (f - g)(x) = -x² + 3x + 5The questions and options is on the image ;)
Answer:
the thie\rd one
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
it is 3/4 lol trust
Choose all of the transformations that are rigid motions.
Answer:
The answer is below
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and rotation.
Rigid transformations are transformation that produces an image with the same size, shape and angle as the original object. Rigid transformations are translation, rotation and reflection.
Dilation is not a rigid transformation.
All the transformations attached are rigid transformations.
What is the distance from M(-1,6) to N(11, 1)?
C. 13 units
A. 12 units
B. V 149 units
D. 169 units
Please help me
Answer:
C. 13
Step-by-step explanation:
I hope u dont need work lol
Answer:
D. 169 units
Step-by-step explanation:
A person standing 130 feet away from the foot of a tall building must look up at an angle of 30° to see the top of the building. There is a radio antenna on the top of the building. The angle of elevation of the top of the radio antenna is 45°.
Answer:
30 angels
Step-by-step explanation:
Solve for u.
200 = 125 - u
Answer:
-75
Step-by-step explanation:
200 = 125-u
75 = -u
u = 75
Find the value of x. Round your answer to the nearest tenth.
Answer:
x=5.7
Step-by-step explanation:
sin(35=x/10
what is 2x4(6.5x9.5) power of 12 show your work
Answer:
24.584...
Step-by-step explanation:
2x4(6.5x9.5) power of 12
2x4 x 61.75 power of 12
2x4 x 3.073...
8 x 3.073...
24.584...
Which expression is equivalent to
7 + (3 + 11)
———————
-5+ 8
(Picture included)
HELP ASAP!!
Answer:
7
Step-by-step explanation:
start by adding 3+ 11 in the parenthesis, that should give you 14. now you should have 7 + 14 over -5 + 8.
-5 + 8 = 3 (another way to look at this problem is, 8 -5)
7+14 = 21
you should now have 21 over 3
to simplify this divide 21 by 3, this should give you 7
Answer: 21 divided by 3
Step-by-step explanation:
If you solve the top and the bottom you get 21 for the top and 3 for the top and you can divide 21 by 3 and get 7. You can double check the math if you want, hope this helps!