Answer:
Julie is 16 years old and Molly is 21 years old.
Step-by-step explanation:
Given that Julie is 5 years younger than her sister, Molly, and the sum of their ages is 37, to determine how old is each sister the following calculation must be performed:
(37 - 5) / 2 = X
32/2 = X
16 = X
(16 + 5) + 16 = X
21 + 16 = X
37 = X
Therefore, Julie is 16 years old and Molly is 21 years old.
A store wants to have an end of year sale so they discount all prices by 35%. If you buy an item that originally sells for $80.00, how much are you paying for it after the discount?
Answer:
$52.00
Step-by-step explanation:
35% of $80
(35÷100) ×80
0.35× 80
$28.00
$80 -$28
$52.00
Is this statement true or false?
The unpaid balance is the sum of the previous balance and the new charges.
Answer: true
Step-by-step explanation:
What is 10% of 7,518?
Answer:
751.8
Step-by-step explanation:
A certain company stock has
decreased by $4 per share.
If Krista has 17 shares of this stock,
write an integer to represent the
total change in value of her stock.
Answer:
-68$
Step-by-step explanation:
: D
hope I'm right...
The X and Y coordinates (in feet) for station Shore are 2058.97 and 6980.06, respectively, and those for station Rock are 1408.03 and 6980.06, respectively. What are the azimuth, bearing, and length of the line connecting station Shore to station Rock
Answer:
Hence, the azimuth, bearing, and length of the line connecting station Shore to station Rock are [tex]270^{\circ},90^{\circ}[/tex] and [tex]650.94[/tex] feet.
Given :
The shore station point [tex](X_1,Y_1)[/tex] in feet,
[tex](X_1,Y_1)=(2058.97, 6980.06)[/tex]
The Rock station point [tex](X_2,Y_2)[/tex] in feet
[tex](X_2,Y_2)=(1408.03,6980.06)[/tex]
From the figure
[tex]x=2058.97-1408.03=650.94[/tex] feet
[tex]y=6980.06-6980.06=0\\[/tex] feet
Length of the line [tex]L=\sqrt{x^2+y^2}[/tex]
[tex]\Rightarrow L=\sqrt{(650.94)^2+0}=650.94[/tex]
[tex]\Rightarrow L=650.94[/tex] feet
[tex]\because[/tex] [tex]\tan \theta=\frac{y}{x}=\frac{0}{x}=0[/tex]
[tex]\Rightarrow \theta=\tan^{-1}(0)=0[/tex]
Azimuth of line[tex]=270^{\circ}+\theta[/tex]
[tex]=270^{\circ}+0[/tex]
[tex]=270^{\circ}[/tex]
[tex]\therefore[/tex] Bearing [tex]=360^{\circ}-\text{Azimuth}[/tex]
[tex]=360^{\circ}-270^{\circ}[/tex]
[tex]=90^{\circ}[/tex]
9
Is the function shown in the
graph one-to-one?
Yes, there exists one
input for every output.
No, there exists
more than one output for at
least one input.
• No, there exists
more than
one input for at least one
output.
Yes, there exists one output for
every input.
Answer: Choice D
Yes, there exists one output for every input.
=======================================================
Explanation:
x = input
y = output
For any given x value, we have exactly one and only one y value that pairs up with it. Use the vertical line test. This is where we try to draw a single vertical line through more than one point on the curve. You'll find that no such line can be drawn. Any vertical line only crosses the curve exactly once (corresponding to exactly one output). We say that it passes the vertical line test, and therefore we have a function.
Side note: the curve does not pass the horizontal line test. That means the function is not one-to-one.
Find the mean, median, and range of the following set of numbers: 23,25,27,21,24,27
Answer:
Mean = 24.5
Median = 24.5
Mode = 27
Step-by-step explanation:
Someone help me please
Answer:
7/8 or the bottom right
Step-by-step explanation:
The bottom of a ladder is placed 4 feet from the side of a building. The top of the ladder must be 13 feet off the ground.
What is the shortest ladder that will do the job? SHOW your work.
10 foot ladder
12 foot ladder
14 foot ladder
Answer:14
Step-by-step explanation:
Alcohol related crashes cost society 44 billion annually true or false
Answer:
False
Step-by-step explanation:
It costs 114 Billion annually
Answer:
true duhhh
Step-by-step explanation:
Dilbert recently hired a mechanic to do some necessary work. On the final bill, Dilbert was charged a total of $712.
$430 was listed for parts and the rest for labor. If the hourly rate for labor was $47, how many hours of labor was
needed to complete the job?
Step-by-step explanation:
Dont understand, sorry!!
A bank loaned out $28,500, part of it at the rate of 14% annual interest, and the rest at 4% annual
interest. The total interest earned for both loans was $2,640.00. How much was loaned at each rate?
$
was loaned at 14% and
was loated at 4%.
Answer:
$15,000 was invested at 14% per year, and $13,500 was invested at 4% per year.
Step-by-step explanation:
Given that a bank loaned out $ 28,500, part of it at the rate of 14% annual interest, and the rest at 4% annual interest, and the total interest earned for both loans was $ 2,640.00, to determine how much was loaned at each rate you must perform the following calculations:
28,500 x 0.14 + 0 x 0.04 = 3,990
20,000 x 0.14 + 8,500 x 0.04 = 3,140
15,000 x 0.14 + 13,500 x 0.04 = 2,640
Therefore, $ 15,000 was invested at 14% per year, and $ 13,500 was invested at 4% per year.
The Sine Function
In a basic sine curve, where can the zeros NOT be found?
a. middle
b. beginning
c. maximum point
d. end
Please select the best answer from choices provided
Answer:
C. Maximum
Step-by-step explanation:
I calculated it logically
What is it < > or =
1000kg 100000 g
9514 1404 393
Answer:
>
Step-by-step explanation:
1 kg = 1000 g
Multiplying by 1000, you have ...
1000 kg = 1,000,000 g
1,000,000 g > 100,000 g
The appropriate relation symbol is >.
PLEASE HELPP!!
An initial amount of money is placed in an account at an interest rate of 5% per year, compounded continuously. After five years, there is $3287.11 in the
account. Find the initial amount placed in the account. Round your answer to the nearest cent.
9514 1404 393
Answer:
$2560.00
Step-by-step explanation:
The account balance is given by the formula ...
A = Pe^(rt) . . . . principal P invested at rate r for t years
Filling in your numbers, we have ...
$3287.11 = Pe^(0.05·5)
P = $3287.11e^(-0.25) = $2560.00
The initial amount was $2560.00.
I'm thinking of two numbers: a and b.
The sum of my numbers (a + b) is 6.7, and their
difference (a - b) is 4.3.
What are my two numbers?
Answer:
5.5 and 1.2
Step-by-step explanation:
Answer:
a = 5.5
b = 1.2
Step-by-step explanation:
5.5 + 1.2 = 6.7
5.5 - 1.2 = 4.3
Find the volume of this triangular prism:
Answers:
350in3
175in3
22in3
200in3
QUESTION: WHATS BETTER
APPLE JUICE OR ORANGE JUICE
Answer:
orange juice is better than Apple Juice
Can anyone help me out
Answer:
14.49 people per square mile
Step-by-step explanation:
Divide to find the answer:
836,109/57,714 = 14.49
Neglecting air resistance, an object in free fall accelerates at 32 feet per second squared. So the velocity of the object t seconds after being dropped is 32t feet per second. Suppose a ball is dropped from the top of the Sears Tower.
Use integration to find how far the ball would fall in the first six seconds.
a.
546
c.
576
b.
567
d.
612
Answer:
The correct answer is 576
Step-by-step explanation:
Use integration to solve. Correct on edge 2021
Use the graph to determine
A) The function’s domain
B) The function’s range
C) The X-intercepts
D) Y-intercepts
E) The missing function values indicated by question marks below
Answer:
a) Domain: x≥0
b) Range: y≤-2
c) x-intercepts: None
d) y-intercepts: (0,-2)
e) f(4)= -4
Step-by-step explanation:
If this helps please mark as brainliest
(a) domain is [0,∞)
(b) Range is [-2,-∞)
(c) X intercept is none
(D) Y intercept is (0,-2)
(E) f(4)=-4
Given :
Use the given graph to determine the domain , range etc.
Explanation :
Domain is the set of x values on the graph
The graph starts at x=0 and goes on .
So domain is [0,∞)
Range is the set of y values on the graph
The graph starts at y=-2 and it goes down
Range is [-2,-∞)
X intercepts are the points where the graph crosses or touches x axis
The graph does not cross the x axis
X intercept is none
Y intercepts are the points where the graph crosses or touches y axis
The graph touches y axis at -2
Y intercept is (0,-2)
To find out f(4) we look at the y value when x=4
f(4)=-4
Learn more : brainly.com/question/23527715
PLS GIVE ME AN EXPLANATION.. BUT NO LINKS...If the diameter of a cylinder is 14 feet and its height is 4 feet, the volume of the cylinder is 2,461.76 square feet. True False
Answer:
False
Step-by-step explanation:
Answer: False
Step-by-step explanation: Look up cylinder and enter the height and diameter into the calculator and you will see it does not equal 2,461.76 sqaure feet.
[tex]24x^{2}+bx^{2} =25x^{2}[/tex]
Answer:
x = 0
Step-by-step explanation:
Subtract 25x^2 from both sides
24x^2 + bx^2 - 25x^2 - 25x^2
Simplify
bx^2 - x^2 = 0
Factor bx^2 - x^2: x^2(b - 1)
bx^2 - x^2
Factor out common term x^2
= x^2 (b - 1)
x^2(b - 1) = 0
Using the Zero Factor Principle: If ab = 0 then a = 0 or b = 0
x^2 = 0
Apply rule x^n = 0 x = 0
x = 0
need to know please help me !!!
Answer:
9.5 feet/ 1 second is your unit rate
Step-by-step explanation:
In order to make a unit rate you have to make the denominator 1 so it can be a whole number which means you divide by the denominator on both sides both numerator and denominator.
x-y=6, if x=2, then y= -4
Answer:
That is correct.
Step-by-step explanation:
x - y = 6
2 - (- 4) = 6
2 + 4 = 6
There are 4 tablespoons in 1/4 cup. How many tablespoons are in 2 1/4 cups?
Answer:
The answer is 36 tablespoons
Step-by-step explanation:
1/4 = 4 tablespoons
4*8 = 32
32 + 4 =36
Answer:
36 tablespoons
Step-by-step explanation:
4 tablespoons in 1/4 cup:
4*4 = 16 tablespoons in 1 cup
16*2 = 32 tablespoons in 2 cups
32+4 = 36 tablespoons for 2 1/4 cups
Plz help this is due today NO LINKS OR GROSS PICTURES OR I Will REPORT And please show work
Answer:
The volume of Kuron Pool is 600ft³.
Step-by-step explanation:
Rectangular prisms are basically cuboids.
So using the formula to calculate volume of the cuboid i.e.
V = length x breadth(width) x height
= 15 x 8 x 5
= 600ft³
1) A farmer has sheep and cattle in the ratio 8:3.
a) How many sheep has the farmer if he has 180 cattle?
b) Find the ratio of the number of sheep to the total number of animals.
c) Find the ratio of the total number of animals to the number of cattle.
2)My fortune of $ 810 000 is to be divided in the ratio 4:3:2. How much does each person receive?
Good
Answer:
Q 1)
a) No of sheep = 480
b) 8 : 11
c) 11 : 3
Q 2)
Each person will receive: $360,000, $270,000 and $180,000
Step-by-step explanation:
Ratio of sheep to cattle = 8 : 3
Let the number of sheep be 8x
And number of cattle be 3x
a)
No of cattle = 180 (Given)
Therefore,
3x = 180
x = 180/3
x = 60
Therefore, 8x = 8*60 = 480
No of sheep = 480
b)
Total animals = 180 + 480 = 660
Ratio of sheep to the total number of animals
= 480 : 660
= 8 : 11
c)
Ratio of total animals to the number of cattle
= 660 : 180
= 11 : 3
Q 2) Let each person will receive 4x, 3x and 2x dollars.
Therefore,
4x + 3x + 2x = 810,000
9x = 810000
x = 810000/9
x = 90,000
Therefore,
4x = 4*90,000 = $360,000
3x = 3*90,000 = $270,000
2x = 2*90,000 = $180,000
So, each person will receive $360,000, $270,000 and $180,000.
n squared plus 3 sequence
Answer:
n² + 3
this is the expression
Step-by-step explanation:
PLSSS HELLPPPPP!!!!!!! Find the measure of the missing angle.
Answer:
86 degrees
Step-by-step explanation:
The total angles of a quadrilateral add up to 360 degrees, so if you do 360-134-50-90, you get 86, which is your answer.
Answer:
x is 86
Step-by-step explanation:
To solve we will use the equation s = (n-2) 180
s is the sum of all the angles, and n is the number of sides the shape has.
We do not know what s is yet, and since this is a 4 sided figure we will have to solve it like this:
s= (4-2) 180
s= 2(180)
s= 360
Since we now know all the angles added together will equal 360 we can now solve for x. We will solve by adding up all the angles together plus x like this:
134+ 90+ 50+x = 360
274 + x = 360
-274 -274 360-274 = 86
X = 86