Answer: A. 31%
Step-by-step explanation:
First you need to find the area within each circle. This can be found by using the formula: pi * r^2
The area of the circle with radius 8mm is 64 * pi. The area of the circle with radius 14mm is 196 * pi.
196 * pi = 615.75216
64 * pi = 201.06193
Now divide the larger area by the smaller area to get how many times larger the large area is than the small area.
615.75216 / 201.06913 = 3.06239
3.06239 rounds up to 3.1
Now we know the radius of 14mm has an area 3.1 times the area of 8mm. The area of an 8mm radius has 31% of the area of a 14mm radius.
The scale on a map is 1cm for every 400 km. If Maine and Japan are 22cm apart on the map, what is the distance between Maine and Japan? Please help!!!!!
Answer:
8800km
Step-by-step explanation:
If 1cm = 400km
then you have to substitute in 22cm instead of 1cm making it..
22x400=8800.
Hope this helps.
Jose earns $400 during the summer. He deposits it in an account that pays simple interest at a rate of 3% per year. Which equation can you use to find the amount of simple interest that Jose earns in 1 year?
Answer:
12
Step-by-step explanation:
Since this is simple interest the equation will be P*T*R=I T=time which is 1 year. P=money invested or borrowed (aka princable) which is 400$. R=Annual rate is 3% per year and I= Interest after the number of years (aka answer) Hope this helps :)
Answer:
I = 400 x 0.03 x 1
Step-by-step explanation:
$400 is the principal, 0.03 is the decimal value for the annual rate, and the time is 1 year.
Please help meh look at the phot I gave you.
Answer:
C
Step-by-step explanation:
Point B is at -0.5, -1 is not greater than -0.5.
Point A is at -1 and is not greater than Point B, because Point B is at -0.5.
Therefore, it is none of the above.
Answer:
C
Step-by-step explanation:
Therefore, it is none of the above.
In a coffee shop "Scratch and Win" contest, one out of three cards is a winner. What is the probability that Shenice would first win on her third try?
a.4/9
b. 1/27
c.4/27
d. 8/81
Answer: C.) 4/27
Step-by-step explanation:
Given that:
One out of three cards is a winner :
P(winning) = 1 / 3
Therefore, P(not winning) = P(losing) :
1 - P(winning) = 1 - 1/3 = 2/3
Probability that shenice will first win on her third try can be interpreted as:
1st try = lose, 2nd try: lose, 3rd try : win
P(losing) × p(losing) × p(winning)
(2/3) × (2/3) × (1/3)
4 / 27
Probability of first winning on third try = 4/27
A tank is 2m long, 1.4m wide and 1.8m high. find the volume of water in the tank when it is half full.
Answer:
volume of water in the tank when it its half full
The capacity of the water tank = (5.04) /2 = 2.52 m³
2,520 litres
Step-by-step explanation:
Dimensions of a water tank:
Length (l) = 2.0 m,
wide (w) = 1.4 m,
Depth (h)= 1.8 m,
Volume of the tank (V)
LWH
2.0m × 1.4m × 1.8 m
= 5.04 m³
= 5.04 × 1000 litres
/* 1m³ = 1000 litres */
5,040 litres
Therefore,
The capacity of the water tank = 5.04 m³
5,040 litres
HELP ME ASAP!!! A cargo plane left Los Angeles seven hours before an Air Force plane. The planes flew in opposite directions. The Air Force plane flew at 325 mph for two hours. After this time the planes were 5150 mi. apart. Find the cargo plane's speed.
The cargo plane's speed was 500 mph.
What is the volume of the rectangular prism below? (Don't forget to
label your answer!)
Answer: 84 3/8 or 84.375 inches cubed
Step-by-step explanation:
4 1/2 * 5 = 22 1/2
22 1/2 * 3 3/4 = 45/2 * 15/4 = 675/8
675/8 = 84 3/8 or 84.375
Membership to a music club costs $120. Members pay $20 per music lesson and nonmembers pay $35 per music lesson. How many music lessons would have to be taken for the cost to be the same for members and nonmembers? A. 85 B. 8 C. 3 D. 105
Solve for v. 4= - 3/v+5 simplify your answer as much as possible
Answer:
v = -23/4 = -5 3/4
Step-by-step explanation:
4= - 3/(v+5)
Multiply each side by (v+5)
4 (v+5) = -3
Distribute
4v+20 = -3
Subtract 20 from each side
4v +20-20 = -3-20
4v = -23
Divide by 4
4v/4 = -23/4
v = -23/4
Will name brainliest please help me.
Answer:
CD = 9
Step-by-step explanation:
ΔADE is similar to ΔBCD
Such that:
AD is similar to CD
BD is similar to ED
AE is similar to BC
Taking the proportion of their sides to find the unknown sides CD
=> [tex]\frac{6}{2} = \frac{CD}{3}[/tex]
Cross Multiplying
=> 2(CD) = 3*6
=> CD = 18/2
=> CD = 9
Which of the following statements correctly describes the items shown below? (Zoom on to see)
Answer:
D
Step-by-step explanation:
Change the percent to a decimal equivalent.
9 7/10
Answer:
0.97
Step-by-step explanation:
97 /100
You can round once from behind to convert 97% to 0.97
9 7/10 equals 9.7
sorry if the answer is wrong
If f = {(2,5), (3, 2) (4, 6), (5, 1), (2, 2)), then f is a function.
Answer:
false
Step-by-step explanation:
f is not a function because you can see that two of the points are (2,5) and (2,2). A function can only have one corresponding y-coordinate for every x-coordinate and since this is not the case here, f is not a function.
24. At a company picnic, 1/2 of the people are employees. 2/5 are employees' spouses. What percent are neither?
Answer:
One half of X are employees.
One third of X are employee's spouses.
We add one half PLUS one third:
1/2 + 1/3 = 3/6 + 2/6 = 5/6
Then we subtract that fraction from one whole, or 1,
to see what fraction is left. That is, we say
1 minus 5/6
which is
1 - 5/6
Now write 1 as 6/6
6/6 - 5/6
We get 1/6
So 1/6 is left. Now we need to make that into
a percent by multiplying it by 100 and tacking on a "%"
1/6 � 100
1/6 � 100/1
100/6
50/3
16 2/3 %
So 16 2/3 % of the people in
attendance are neither employees
nor employee's spouses.
Now let's check:
1/2 are employees. That's 50%
1/3 are wmployee's spouses. That's 33 1/3%
15 2/3 % are neither employees nor employee's spouses.
Add them up
50 %
33 1/3 %
16 2/3 %
--------
99 3/3 %
And 99 3/3% = 100%
Step-by-step explanation:
A new television set was recently purchased for the common room in a Residence Hall for $ 499.20 including tax. If the tax rate is 4 %, find the price of the television set before taxes. $______(Type an integer or a decimal rounded to two decimal places.)
Answer: $479.20
Step-by-step explanation:
[tex]499.20*0.04=19.968[/tex]
[tex]round \\[/tex] [tex]19.968[/tex]
= 20
tax= $20
[tex]499.20-20=479.2[/tex]
The price of the TV before tax was $479.20
HELP AM BEING TIMED!!!!!!!!!!
Answer: A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
just got it right EDG 2021
Yellow trapezoid equals to ________? not 2 or 3
Answer:
The yellow trapezoid equals to 6.
Step-by-step explanation:
Assuming that two green items equals to two purple items and one yellow trapezoid, we can make the equation 5+5=2+2+x. Simplifying both sides, we get 10=4+x. If we subtract 4 from both sides and isolate x, we get that x=6.
Answer:
yellow trapezoid = 6
Step-by-step explanation:
since the green crescent equals 5, and there are two on the left side, that would equal 10, so the right side also should equal 10 too. The purple teardrops equal two, and there are two on the right side, so the total of teardrops on the right side is equal to 4. Since both sides need to equal to 10, and we only have 4, we need to find the amount of the yellow trapezoid. To do that you need to subtract 4 from 10, to get 6, which is the amount of the yellow trapezoid.
Helpppppppppppppppppppp solve for x
Answer:
x=35
Step-by-step explanation:
Since a quadrilateral's interior angles add up to 360°, we get this:
360-85-20=360-4x+x
340-85=360-3x
255=360-3x
-105= -3x
Multiply both sides by -1
105=3x
3x=105
Divide both sides by 3
x=35
If f(x) = 4x - 12, what is f(2)?
O A. -4
O'B. 4
O c. -20
D. 8
Helpppp plzzz
Answer:
-4
Step-by-step explanation:
f(x) = 4x - 12
Let x=2
f(2) = 4*2 - 12
= 8-12
= -4
the ratio of boys to girls in a school is 4:5 there are 22o boys in the school. How many students attend the school
Answer:
495 students
Step-by-step explanation:
The 4 part of the ratio is the number of boys.
Divide the number of boys by 4 to find the value of one part of the ratio.
220 ÷ 4 = 55 ← value of 1 part of the ratio, thus
5 parts = 5 × 55 = 275 ← number of girls
Number of students = 220 + 275 = 495
Answer:
495 studentsStep-by-step explanation:
[tex]220 \: boys \\ 4:5 = 4 + 5 \\ boys \: = \frac{4}{9} \times x = 220 \\ = \frac{4x}{9} = \frac{220}{1} [/tex]
[tex]4x = 1980 \\ \frac{4x}{4} = \frac{1980}{4} \\ x = 495 \\ total \: no \: of \: students \: = 495 \\ [/tex]
What is the slope-intercept equation of the line below?
Answer:
B.
[tex]y = - x + 2[/tex]
Answer:
b. y=-x+2
Step-by-step explanation:
hi!
the slope intercept form is y=mx+b where m is the slope, and b is the y intercept.
since the y intercept is postive 2, we can first eliminate choices A and C since they show a y intercept of negative 2, not positive 2.
next, we can eliminate d since the line of the graph is going downwards, meaning that the slope or m is negative.
Therefore, the correct answer is b.
u can also use a graphing calculator if youre unsure and plug in each equation and see if it matches with the graph.
|7t|=35 solve the equation
Answer:
t = 5,-5
Step-by-step explanation:
35/7 = 5
because it is an absolute value, it will always be positive:
-35/7 = -5
Answer:
T = 5,
Step-by-step explanation:
7T = 35
divide 7 by both
T = 5
hope this helps
The outside diameter of a pipe is 4.825 inches. If the pipe wall is 0.145 inches thick, what is the inside diameter of the pipe?
Answer:
4.68 in
Step-by-step explanation:
4.825-0.145=4.68 in
The inside diameter of the pipe is 4.68 inches.
What is a diameter?A straight line that runs through the sideways of a body or figure, particularly a circle or sphere, is called as a diameter of a circle or sphere.
Given:
The outside diameter of a pipe is 4.825 inches.
If the pipe wall is 0.145 inches thick,
the inside diameter of the pipe,
= 4.825 - 0.145
= 4.68
Therefore, the diameter is 4.68 inches.
To learn more about the diameter;
https://brainly.com/question/5501950
#SPJ5
Evaluate 2x2 - 1 when x= 3.
O A. 35
O B. 25
O c. 5
O D. 17
Answer:[tex]2*3^{2} -1[/tex]
Step-by-step explanation:
calculate the power: 2*9-1
calculate the product or quotient:18-1
calculate the sum or difference:17
answer:17
What can you conclude about the intersection of a chord and the radius that bisects it
Answer: The radius and the cord must be perpendicular to each other.
Step-by-step explanation:
A cord is a line from a point of circumference of a circle to another point of the circumference of the circle without passing through the centre.
A radius is a line from the centre of a circle to the circumference of the circle.
When the radius line intersect and bisects a cord of a circle, the radius and the cord must be perpendicular to each other.
Answer:
if in a circle a radius bisects a chord then the radius is perpendicular to the chord,
Step-by-step explanation:
which equation is represented by the graph below
Answer:
C). y = ln x + 4
Step-by-step explanation:
First off, we can cancel out the [tex]e^{x}[/tex] graphs.
Now looking at the graph, one can see that when x = 1, y = 4.
So for each [tex]ln[/tex] function, plug in 1 for x.
In doing this, one will find that y = ln x + 4 is the only [tex]ln[/tex] graph that produces 4 when x = 1.
Which diagram can be used to prove AABC – ADEC using similarity transformations?
А
E
B
D
А
D
В
С
The diagram that can be used to prove [tex]\triangle ABC \sim \triangle DEC[/tex] is (b)
Similar triangles may or may not have congruent corresponding sides, but the corresponding angles must be congruent.
The above means that,
All three angles of the two triangles must be congruentThe three sides must be in equivalent proportions.Using the above highlight, we can conclude that the diagram that can be used to prove [tex]\triangle ABC \sim \triangle DEC[/tex] is (b) see attachment
Read more about similar triangles at:
https://brainly.com/question/9166513
Given that ƒ(x) = 4x + 5 and g(x) = x2 – 2x – 2, find (ƒ + g)(x). Question 11 options: A) (ƒ + g)(x) = x2 + 6x + 3 B) (ƒ + g)(x) = –x2 + 6x + 7 C) (ƒ + g)(x) = x2 + 2x + 3 D) (ƒ + g)(x) = –x2 + 2x – 7
Answer: C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Levi would like to use a credit card to make a $3000 purchase. He is considering two credit options. The first requires a down payment of $1000 followed by monthly payments of $125. The second requires a down payment of $1300 followed by monthly payments of $110. The two options accumulate the same amount of interest and require the same number of monthly payments. What is the amount of interest for this loan?
Answer: $500
Step-by-step explanation:
Hi, since both credit options accumulate the same amount of interest:
1000+125x=1300+110x
Solving for x(number of months)
125x-110x =1300-1000
15x = 300
x =300/15
x= 20 months
Replacing x =25 in one equation:
1000+125x =
1000+125(20)=
1000+2500= $3500
Finally, we have to subtract the amount of the purchase (3000) to the result obtained:
3500-3000=$500
Feel free to ask for more if needed or if you did not understand something.
The table below shows student's preferred European football clubs as indicated in a survey run by
their math teacher. If two students were selected without replacement at random, what is the
probability that the first and second students prefer Juventus?
Answer:
Option D. 91/4950
Step-by-step explanation:
The following data were obtained from the question:
Barcelona (B) = 23
Real Madrid (R) = 23
Liverpool (L) = 22
Manchester City (M) = 18
Juventus (J) = 14
Total (T) = 100
Next, we shall determine the probability of the first pick i.e probability of Juventus. This is illustrated below:
P(J1) = n(J) /n(T)
P(J1) = 14/100
Now, the picking is done without replacement. The next pick being Juventus will reduce in number and likewise the total number will also reduce i.e
Juventus = 13
Total = 99
Therefore, the probability that the 2nd pick is Juventus is given below:
P(J2) = 13/99
Now, we can obtain the probability that the 1st and 2nd student prefer Juventus as follow:
P(J1 and J2) = P(J1) x P(J2)
P(J1) = 14/100
P(J2) = 13/99
P(J1 and J2) = P(J1) x P(J2)
P(J1 and J2) = 14/100 x 13/99
P(J1 and J2) = 7/50 x 13/99
P(J1 and J2) = 91/4950
Therefore, the probability that the 1st and 2nd student prefer Juventus is 91/4950