Select the correct answer.
What is the simplest form of the ratio 40:16?
ОА.
20:8
OB.
10:4
OC.
5:4
OD
5:2
OE.
10:8
Answer:
D: 5:2
Step-by-step explanation:
40:16 simplified is 5:2
The simplest form of the ratio 40:16 is 5:2.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
To find the simplest form of the ratio 40:16, we can divide both terms by their greatest common factor (GCF).
First, let's find the GCF of 40 and 16.
The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.
The factors of 16 are 1, 2, 4, 8, and 16.
The largest number that appears in both lists is 8.
Therefore, the GCF of 40 and 16 is 8.
To simplify the ratio, we divide both terms by 8:
40 ÷ 8 = 5
16 ÷ 8 = 2
Thus,
The simplest form of the ratio 40:16 is 5:2.
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PLEAZE HELP MS OUT I DONT UNDERSTAND
Answer:
cant see the pic
Step-by-step explanation:
Answer:
C.) SAS
Step-by-step explanation:
When the marks on a triangle are the same as another, they have a congruent measure.
In the given triangles, the red line and arch on both mean they have a congruent side and angle.
Since they share a side, that side is congruent for both.
So now we have a congruent side, angle, and side. This is the SAS theorem,
The diagram below represents the shape of the floor of a hotel lobby. The hotel plans on replacing the carpet in the lobby
12
1
1 14 11
1
1
1121
13 ft
! 11 ft
31 tt
Part A: What is the total area of the hotel lobby floor?
ft?
Part B: If the new carpet costs $1.75 per square foot, how much with the hotel spend on new carpet?
Answer:.
Step-by-step explanation:
Building A is 400 feet tall and Building B is 300 feet tall. Johnny is standing in between the two building. The angle of elevation from the point on the ground where Johnny is standing is 70 degrees to the top of Building A and 52 degrees to the top of Building B. How far apart are the two buildings
Answer:
389 feets apart
Step-by-step explanation:
Given that:
Building A
Height = 400feets
Angle of elevation = 70°
Building B:
Height = 300 feets
Angle of elevation = 52°
Distance from the foot of building A to where Jonny is standing = x (see attached picture)
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 70 = 400/ x
2.7474774x = 400
x = 145.58809 feets
Distance from the foot of building B to where Jonny is standing = y (see attached picture)
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 52 = 300/ y
1.2799416y = 300
y = 145.59
y = 234.38568 feets
x + y = distance between the two buildings
(145.58809 + 234.38568) feets
= 379.97377
= 380 feets apart
You want to rent a television. Company A charges $40 per week plus a one-time fee of $25. Company B charges $35 per week plus a one-time fee of $45. After how many weeks are the total costs the same at both companies?
Answer:
4 weeks
Step-by-step explanation:
Company A charges $40 per week and a one time fee of $25
Company B charges $35 per week and a one time fee of $45
Therefore the number of weeks required for both companies to arrive at the same cost can be calculated as follows
Company A = 45 + 35×4
= 45 + 140
= 185
Company B = 25 + 40×4
= 25 + 160
= 185
Hence it will cost both companies 4 weeks
A track team has 25 runners. There are 18 boys on the team. What percent of the track team are girls? *
Answer:
28%
Step-by-step explanation:
Given that,
The total no of runners = 25
No. of boys in the team = 18
We need to find the percent of the track team are girls.
Total no of girls = 25-18 = 7
Percent of girls :
[tex]g=\dfrac{\text{No. of girls}}{\text{Total runners}}\times 100\\\\=\dfrac{7}{25}\times 100\\\\=28\%[/tex]
Hence, there are 28% of girls.
A line passes through the points (-8,-4) and has a slope of 5/4.
Graph -5 1/4 on the number line. Click on the number line to identify the number's location.
Answer:
the one after 5
Step-by-step explanation:
press the one after 5
The point -5 1/4 is plotted on the number line in the graph as shown.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. A graph consists of some points and lines between them.
For the given situation,
The point is -5 1/4.
We need to plot this point on the number line shown.
In the graph below, the point -5 1/4 is plotted on the number line.
Hence we can conclude that the point -5 1/4 is plotted on the number line in the graph as shown.
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Find the lateral area of this cone.
Round to the nearest tenth.
Hint: Lateral Area of a Cone = url
Where l = slant height
15in
12in
[?] in2
Answer:
565.5 in²
Step-by-step explanation:
Lateral area of a cone is represented by,
Lateral surface area = πrl
Here 'r' = Radius of the circular base
l = lateral height of the cone
By this formula,
Lateral area = π(12)(15)
= 565.49
≈ 565.5 square inch
Therefore, 565.5 in² is the answer.
please help i have been stuck on this for so long :(
Answer:
Angle 1
Step-by-step explanation:
Angle 1 is the only marked angle that is an obtuse angle (larger than 90 degrees, but less than 180).
Also, the angle marked as 28 degrees and angle one are supplementary, meaning that they add up to equal 180. 180-152=28
Answer:
angle 1
Step-by-step explanation:
Which absolute value number sentence is false? a. 171 +1-6 = 13 b. 1-151 - 1-8] = 7 c. 1-12 + 1-2 = 10 d. 1111 - 1-41 = 7
Answer:
C.
Step-by-step explanation:
This is because the absolute value of -12 is 12 and the absolute value of -2 is 2. So then the equation would look like this: 12 + 2 = 10, which is a false equation.
Hope this helps!
what is central and inscribed angle
Answer:
An inscribed angle is an angle formed by two chords in a circle which have a common endpoint. This common endpoint forms the vertex of the inscribed angle. The other two endpoints define what we call an intercepted arc on the circle. The intercepted arc might be thought of as the part of the circle which is "inside" the inscribed angle.
Dolly and Willie's scores are shown. Dolly claims that she is the better student, but Willie
claims that he is the better student. What statistics make either Dolly or Willie seem like
the better student? Drag and drop the correct word into each box to complete the
explanation.
Answer:
I have attached a picture below. I hope this helps!
mark walked 21,129 feet in one hour. at that speed, how many miles will he walk in 2 hours
Answer: 23.129
Step-by-step explanation:
What is the volume of the prism
The volume of the prism is 72
How to calculate the volume of the prism?The height of the prism is 3 ft
The base of the prism is 24 square feet
The formula for volume of a prism is base multiplied by the height
Volume= base × height
= 3 × 24
= 72
Hence the volume of the prism is 72
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Graph the funtion f(x) = [tex]\sqrt[3]{x - 2}[/tex].
(I added a picture just in case you can't read the equation)
Struggling a lot could use a friend right about now thank you
This process is very simple. All you are doing is creating a table of values somewhere to help you graph this function. As you can see, the coordinates of [tex]\displaystyle [-6, -2], [1, -1], [2, 0], [3, 1],[/tex] and [tex][10, 2][/tex] are all touched on this graph, letting you know that this information is accurate.
I am joyous to assist you at any time. ☺️
Calculate the value of y
Answer:
157°
Step-by-step explanation:
(4x - 5)° = (x + 16)°.. (vertical angles)
4x - 5 = x + 16
4x - x = 16 + 5
3x = 21
x = 21/3
x = 7
(x + 16)° + y ° = 180°...(Linear pair angles)
(7 + 16)° + y° = 180°
23° + y° = 180°
y° = 180° - 23°
y° = 157°
Mrs Jonas has 35 students in her math class. If her class increases to 42 students next year what will be the percent of change?
A) 335
B) 93%
C) 75%
D) 20%
Answer:
D. because I did it
Step-by-step explanation:
got it right.
Answer:
20%
Step-by-step explanation:
well if the class would increase 35+35 it would be 50 % so its supposed to be a smaller percentage
is x-3=x+3 one solution no solution or many solutions
Answer:
The answer is no solutions
Step-by-step explanation:
Let's solve your equation step-by-step.
x−3=x+3
Step 1: Subtract x from both sides.
x−3−x=x+3−x
−3=3
Step 2: Add 3 to both sides.
−3+3=3+3
0=6
Therefore, no solutions :)
start fraction 5.2 over 3.5 end fraction equals start fraction y over 7.5 end fraction
A. 7.25
B. 11.14
C. 5.05
D. 2.43
Answer:
A
jk its D hope this helps
Solve for the missing amount.
Of the 300 Sequoyah Cougars that play a sport, 20 % will go on to play high school sports.
How many Cougars will play a sport in high school?
Answer:
60
Step-by-step explanation:
Answer:
60 Cougars will play a sport in high school
Step-by-step explanation:
20% of 300 is 60.
21/35 as a decimal rounded to the nearest tenth
A car dealership increase the price of a single by 6% original price was $37,800 what is the price
Answer:
$40,068
Step-by-step explanation:
37,800 x 0.06 = 2,268
37,800 + 2,268 = 40,068
help plz bc idk what to do
Answer:
A.) k=0.5
Step-by-step explanation:
If we use the formula given: y=kx, we can plug in values.
0.5=k(1)
0.5=(0.5)(1)
0.5=0.5
We know that to get from 1 to 0.5, we need to divide by two, or multiple by 1/2. 1/2 in decimal form is 0.5
Is this graph a function? why or why not.
Answer:
The vertical line test can be used to determine whether a graph represents a function. ... If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output. A function has only one output value for each input value.
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
Need help with 20-23 please. geometry
Answer:
20) 5X3=15 15h
21) 12X15=18 180
22) IDEK
23) IDEK
Step-by-step explanation:
4 3/7 - 2 5/14 Can someone Please Please help me??
Answer:
29 over 14
Step-by-step explanation:
ana runs a merchandiser store. she wants to buy 500 notebooks for her store. she will get 300 notebooks for $2500. the next 200 notebooks are for $4 per notebook. if the total cost for notebook is $3300 and 12%discount is given then the total cost for notebooks is
A. $2,560
B. $2,904
C. $2,850
D. $2,890
PLEASE HELP WITH 37 IM MARKING BRAINLIEST TO THE CORRECT ANSWER
Answer:
Infinitely many solutions
Step-by-step explanation:
-5.9x - 3.7y = -2.1
5.9x + 3.7y = 2.1
If we add these two equations together, -5.9x cancels out 5.9x, -3.7y cancels out 3.7y, and -2.1 cancels out 2.1.
This leaves us with:
0 = 0
Since this is true, that means there are infinite solutions.
What value of x makes this equation true? 12x - 15 = 6 - 3x
Answer:
12x - 15 = 6 -3x (add 3x to both sides)
15x - 15 =6 (add 15 to both sides)
15x= 21 (divide both sides by 15 to get x alone)
x= 1.4 (the answer)
Answer:
1.4
Step-by-step explanation: