Answer:
$13.6
Step-by-step explanation:
Jane bought 3 CDs that were each the same price. So let the price of each CD be ‘x’.
It is given that including sales tax, she paid a total of $45.30.
Also each CD had a tax of $1.50. We need to find out what the price of each CD was before tax.
Since the tax for all 3 CDs was same, the total amount of tax that she paid was:
3 * 1.50 = 4.50
Therefore the total tax on 3 CDs is $4.50
Since we already know the total price she paid for the CDs including taxes, we can find the price of each CD by the following way:
3x + 4.50 = 45.30
3x = 45.30 - 4.50
3x = 40.8
x = 13.6
Therefore the price of each CD before tax is $13.6.
What are the coordinates of the point that is 1/5 of the way from A(-7,-4) to
B(3, 6)?
A. (-5,0)
B. (0,3)
C. (-5,-2)
D. (1,4)
Answer:
C. (-5, -2)
Step-by-step explanation:
I used
x1 + / (x2 - x1), y1 + / (y2 - y1)
so
-7 + 1/5(3 - (-7)
-7 + 1/5 (10)
-7 + 10/5
-7 + 2 = -5 (X)
then
-4 + 1/5(6 - (-4)
-4 + 1/5(10)
-4 + 10/5
-4 + 2 = -2 (Y)
(-5, -2)
Tobias is constructing barriers to prevent cars from driving on a bike path. He can make conical pylons using the dimensions shown. If he used the
same amount concrete to construct a spherical barrier, how tall would it be? Use 3.14 for and round your answer to the nearest tenth of a foot. PLS HELPPP !
Answer:
1.6 ft.
Step-by-step explanation:
Given that the conical pylons had a radius (r) of 1 foot and a height (h) of 2 foot. The volume of the conical pylons is:
Volume = πr²h/3
Therefore substituting gives:
Volume = π(1)²(2)/3 = 2π/3 ft³
Since the same amount of concrete is used to construct a spherical barrier, hence the volume of the sphere would be the same as the volume of the conical pylon.
Volume of sphere = 4πr³/3
4πr³/3 = 2π/3
2r³ = 1
r³ = 1/2 = 0.5
r = ∛0.5 = 0.8 ft.
Therefore the radius of the spherical barrier would be 0.8 ft. and the height would be 2r = 2(0.8) = 1.6 ft.
Drag and drop one equation into the space provided which correctly shows the relationship between the variables in the table.
Answer:
v = 2c
Step-by-step explanation:
What is Joaquins unit rate, in miles per hour
Answer:
1 1/4 mile/hr (Answer B)
Step-by-step explanation:
Distance traveled: 1/4 mile; elapsed time: 1/5 hour. Then:
1/4 mile
--------------- = 5/4 mile/hr, or 1 1/4 mile/hr (Answer B)
1/5 hour
Please solve with explanation
Plz help me it’s being timed
20 Mathematically similar wooden blocks are made in a workshop.
There are small blocks and there are large blocks.
The volume of each small block is 300 cm
Given that
the surface area of each small block: the surface area of each large block - 25:36
DO NOT WRITE IN THIS AREA
work out the volume of each large block.
Answer: [tex]518.4\ cm^3[/tex]
Step-by-step explanation:
Given
The volume of the small block is [tex]300\ cm^3[/tex]
The ratio of the surface area of small to large block is [tex]25:36[/tex]
Suppose the length of the small and large box is a and b
[tex]\therefore \left(\dfrac{6a^2}{6b^2}\right)=\dfrac{25}{36}\\\\\Rightarrow \left(\dfrac{a}{b}\right)^2=\dfrac{25}{36}\\\\\Rightarrow \left(\dfrac{a}{b}\right)=\dfrac{5}{6}\\\\\therefore \text{Ratio of the volumes of two is }\\\\\Rightarrow \dfrac{a^3}{b^3}=\dfrac{5^3}{6^3}\\\\\Rightarrow \dfrac{V_s}{V_l}=\dfrac{125}{216}\\\\\Rightarrow V_l=300\times \dfrac{216}{125}\\\\\Rightarrow V_l=518.4\ cm^3[/tex]
A right rectangular prism is shown.
7 inches
5 inches
12 inches
To the nearest tenth of an inch, what is the length of the diagnal, d?
15.56 in.
Step-by-step explanation:
i'm pretty sure i did it right, but im not sure. i haven't done geometry in like over 2 years.
find the hypotenuse of the triangle with 7 in. and 12 in. as your legs with the Pythgorean theorem (a^2 + b^2 = c^2, c equals the hypotenuse)
use that number you just got (I got ) and use it as one leg, and 7 in. as the other leg, with d as your hypotenuse
use the Phythagorean theorem again to find d, andddd... you've got your answer!
Answer: Ok well when you do the math you get 14.76 then round to the nearest tenth of an inch you get 17.8. So, d ≈ 14.8
Step-by-step explanation:
I did the math...
25 POINTS!!! What shape can be created by the given net? triangular prism square pyramid cube rectangular prism
Answer:
triangular prism
Step-by-step explanation:
Need help on this question asap pleasee :)
Answer:
Step-by-step explanation:
Formula for total surface area of of the triangular prism is:
Total Surface area (S) = Ph+ 2B
P = Perimeter of the triangular base
P = 6 + 8 + 10
P = 24 cm
h = height of the prism = 10 cm
B = area of the base
B = ½*bh = ½*8*6
B = 24 cm
S = 24*10 + 2(24)
S = 240 + 48
S = 288 cm²
Total surface area = 288 cm²
Given csc A= 37/12 and that angle A is in Quadrant I, find the exact value of sec A in
simplest radical form using a rational denominator.
Answer:
Step-by-step explanation:
Below is the pic of how this would be set up in order to determine what it is you are looking for. The angle is set in QI, and since csc A is the reciprocal of sin, the ratio is hypotenuse over side opposite. Solve for the missing side using Pythagorean's Theorem:
[tex]37^2=12^2+b^2[/tex] and
1369 = 144 + b² and
1225 = b² so
b = 35
The sec ratio is the reciprocal of cos, so if cos is adjacent over hypotenuse, the sec is hypotenuse over adjacent, which is 37/35
Question 32 The numbers represented by variables a and c, on the number line, are integers. if c > b > a, under which of the following conditions could the expression b < -1 be true? when a = -4 and c = 0 B when a = - 1 and c = 3 OO C when a O and c 8 when a 1 and c = 2
The number line inequality will be true for the following condition given in this problem:
When a = 0 and c = -8.
How are real numbers represented on a number line?On a number line, real numbers increase from left to right, meaning that:
Large negative numbers come before small negative numbers, which come before small positive numbers, and finally, come the large positive numbers.
For this problem, the inequality is:
c > b > a.
Which means that:
c is to the left of b.b is to the left of a.We have that b < -1, hence:
c < -1 (can be -2, -3, -4, and so on...).a > -1 (can be 0, 1, 2, 3, and so on)...Then the conditions that make the statement b < -1 true are given as follows:
When a = 0 and c = -8.
More can be learned about number line inequalities at https://brainly.com/question/24372553
#SPJ1
adding and subtracting unlike fractions in word functions
A cupcake recipe calls for 1/4 tablespoons of salt and 1/8 tablespoons of vanilla. How many tablespoons of salt and vanilla are required?
Answer:
3/8 tablespoons
Step-by-step explanation:
When we add fractions, we have to make each fraction a common denominator.
So we get 1/4 into 2/8 and we have 1/8
So we add and get 3/8
which ordered pair is a solution of the equation
Answer:
D
Step-by-step explanation:
y - 4 = 7(x - 6) Remove the brackets
y - 4 = 7x - 42 Add 4 to both sides
y = 7x - 42 + 4
y = 7x - 38
Note when you put this in slope, y intercept form, the ordered pair is easier to find.
Let x = 5
y = 7*5 - 38
y = 35 - 38
y = -3 (5,4) isn't right
Let x = 6
y = 7*6 - 38
y = 42 - 38
y = 4 That does not work either.
The answer is D
What are the measures for angle b,c,and d
Keith played the first 22 minutes of soccer game lohan then replaced him for the rest of half logan started the second half and was replaced by wilson with 18 minutes left in the game if each half is 40 minutes ling how long did logan play during the second half
Answer:
Logan played for 22 minutes during the second half.
Step-by-step explanation:
Since Keith played the first 22 minutes of a soccer game and Logan then replaced him for the rest of the half, and Logan started the second half and was replaced by Wilson with 18 minutes left in the game, if each half is 40 minutes long To determine how long did Logan play during the second half, the following calculation must be performed:
Second Half Total - Time Played by Wilson = Time Played by Logan
40 - 18 = X
22 = X
Therefore, Logan played for 22 minutes during the second half.
I need help with these two please
Answer:
[tex]21(2-x)+12x=44[/tex]
[tex]42-21x+12x=44[/tex]
[tex]42-9x=44[/tex]
[tex]42-9x-42=44-42[/tex]
[tex]-9x=2[/tex]
[tex]-9x=2\\-9 ~~-9[/tex]
[tex]x=-2/9[/tex]
-----------------------
hope it helps..
have a great day!!
Vertical angle question, should be easy points for you
Answer:
I don't know how to explain it well but i got part of my notes and i solved it and i got D. 144 and i got it checked and it was correct
Step-by-step explanation:
Sorry for not helping sooner
15) Suppose that Tony ordered 3 pizzas. Each pizza has 8 slices. Being shared with 5 people (3 pizzas - 8 slices in each
pie... total: 24 PIECES OF PIZZA)
Answer:
4.8 slices each
Step-by-step explanation:
8*3= 24
24/5= 4.8
-5 - 2n = 8n + 25
What is n? n = ____
Answer:
[tex]n = -3[/tex]
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
-5-2n=8n+25
-5-25=8n+2n
-30=10n
-30/10=n
-3=n
Step-by-step explanation:
therefore n=-3
Hope this helps u!!
Which statements about the system are true? Select two options.
y=x-4
3y - x= -7
The system has one solution.
The system consists of parallel lines.
Both lines have the same slope.
Both lines have the same y-intercept.
The equations represent the same line.
Save and Exit
Next
Submit
Mark this and return
Answer:
system has 1 solution at (2.5, -1.5)
Step-by-step explanation:
y = x - 4 this equation has a slope of 1 and a y-intercept of -4
3y - x = -7 this equation has a slope of 1/3 and a y-intercept of -7/3
2
The height in meters of a projectile involves the object's initial height,
upward velocity, and acceleration because of gravity. If the equation
y =- 9.8t + 109.7t + 7.4 models the number of meters, y, a toy rocket
is above the ground t seconds after being launched, what does the 7.4
represent?
Answer: Initial height before launch
Step-by-step explanation:
Given
The equation [tex]y=-9.8t+109.7t+7.4[/tex] the height of toy rocket after t sec
when the rocket is launched, time is [tex]t=0[/tex]
Substituting 0 for [tex]t[/tex] in the equation
[tex]\Rightarrow y(0)=-9.8(0)+109.7(0)+7.4\\\Rightarrow y(0)=7.4[/tex]
Here, [tex]7.4[/tex] represents that rocket is already at a height of [tex]7.4[/tex] m before the launch.
If the slope of a line is -2, what is the slope of a perpendicular line?
-2
2
-1/2
1/2
Answer:
option 4
Step-by-step explanation:
[tex]perpendicular means = slope_1 \times sope_2 = -1\\[/tex]
[tex]-2 \times slope_2 = -1\\\\slope_2 = \frac{1}{2}[/tex]
Answer:
1/2
Step-by-step explanation:
The slopes of perpendicular lines are negative reciproclas. That means their product equals -1.
If you know the slope of a line, to find the slope of a perpendicular line, flip the slope and change the sign.
Given line: slope = -2
-2 is the same as -2/1
Flip it: -1/2
Change the sign: 1/2
Answer: 1/2
pls help me with this :(
Answer:
18 cm^3
Step-by-step explanation:
To find the volume, count the number of cubes, since each cube has a side length of 1 cm
The volume of 1 cube is 1*1*1 = 1 cm^3
There are 6 rows of 3 cubes each or 18 cubes
18 cubes of 1 cm^3 = 18 cm^3
Answer: 18 cubic cm
Step-by-step explanation:
Answer 18 :D !!!
Which is a factor of x2 + 5x – 24?
(x - 6)
(x + 6)
(x - 8)
(x + 8)
Answer:
(x + 8)
Step-by-step explanation:
If you factor x2 + 5x – 24 using the AC method, it equals (x - 3) and (x + 8).
Answer:
D on edge :)
Step-by-step explanation:
Find the smallest number should be subtracted from 9340 so as to get a perfect square.
Square root of 9340 = 96.64
nearby number = 96
square of 96 = 9216
9340- 9216= 124
the smallest number 124 should be subtracted from 9340 so as to get a perfect square.
fin the area of this trapezoid
Answer:
The answer would be 96
Step-by-step explanation:
Because 20/2=10x2=20
19x4=76
20+76=96
Help it’s almost due!!!!
HELPPPPP !!!!!! WILL MARK BRAINLEST
Answer: A
Step-by-step explanation:
PLSSS HELP ASAP DUE TMR MORNING
Step-by-step explanation:
Hey there!
Here;
Diameter (d) = 13 ft
Radius (r) = 13/2 = 6.5 ft
Now,
Area of a circle= πr²
= (22/7)*(6.5)²
= 132.78 ft²
Therefore, the area is 133 ft².
Hope it helps!
Step-by-step explanation:
Hey there!
Here;
Diameter (d) = 13 ft
Radius (r) = 13/2 = 6.5 ft
Now,
Area of a circle= πr²
= (22/7)*(6.5)²
= 132.78 ft²
Therefore, the area is 133 ft².
Hope it helps!