The length of AC will be equal to 20 units for the given line.
What is the distance?Distance is defined as the length between the two points here we have a line AC divided into two parts having a length of AB = 4 and BC is 16.
The length of the line AC will be calculated as:-
AC = AB + BC
Ac = 4 + 16
AC = 20 units.
Therefore the length of AC will be equal to 20 units for the given line.
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HELP ASAP!!1 Write the phrase as a rate in simplest form. 320 miles on 34 gallons a. 160miles/ 17 gallons b. 160miles/ 34 gallons c. 320gallons/ 34 miles d. 320miles/ 34 gallons e. 160gallons/17 gallons
Answer: c( 320 gallons/34 miles or d( 320 miles/34 gallons
hope it helps..
Anna has 2 purple lipsticks, 3 red lipsticks and 3 pink lipsticks in her kit. She picks one lipstick, record its color, puts it back in the kit and draws another lipstick. What is the probability of taking out a purple lipstick followed by the red lipstick?
Answer:
9/64Step-by-step explanation:
This is a probability problem on selection with replacement, that is the sample size does not change after each selection or event.
Given data
2 purple lipsticks,
3 red lipsticks and
3 pink lipsticks
The sample space s=(2,3,3)
The sample size= 8
1. the probability of taking a purple lipstick Pr(purple)= [tex]\frac{3}{8} \\[/tex]
2.the probability of taking a red lipstick Pr(red)= [tex]\frac{3}{8}[/tex]
probability of taking out a purple lipstick followed by the red lipstick is
[tex]= \frac{3}{8} * \frac{3}{8} = \frac{9}{64}[/tex]
The table provides on road accidents reported to the police for the days in December
Accidents reported Frequency
0-5 9
6-10 10
11-15 6
16-20 6
Estimate the mean.
Give your answer rounded to 1 DP.
Answer:
[tex]Mean = 9.3[/tex]
Step-by-step explanation:
Given
Let accidents reported be represented by x and the frequency be represented by f
x ----- f
0-5 -- 9
6-10 -- 10
11-15 -- 6
16-20 -- 6
Required
Calculate the Mean;
To calculate the mean of a grouped data, the first step is to calculate the midpoint of the observation;
When x = 0 - 5
Midpoint = 0.5(0 + 5) = 0.5 * 5 = 2.5
When x = 6 - 10
Midpoint = 0.5(6 + 10) = 0.5 * 16 = 8
When x = 11 - 15
Midpoint = 0.5(11 + 15) = 0.5 * 26 = 13
When x = 16 - 20
Midpoint = 0.5(16 + 20) = 0.5 * 36 = 18.
So, the new table is as follows;
x ------- f
2.5 ---- 9
8 ----- 10
13 ------ 6
18 ------ 6
Mean is calculated by ∑fx/∑f
Where ∑fx represent sum of the product of f and x
∑f represent sum of frequency
∑fx = 2.5 * 9 + 8 * 10 + 13 * 6 + 18 * 6
∑fx = 288.5
∑f = 9 + 10 + 6 + 6
∑f = 31
So,
[tex]Mean =\frac{288.5}{31}[/tex]
[tex]Mean = 9.3064516129[/tex]
[tex]Mean = 9.3 (Approximated)[/tex]
Hence, the mean of road accidents in December is 9.3
Find t12 term in an arithmetic progression having t3 = 10 and t10 = −4 .
Answer:
t12= -8
Step-by-step explanation:
t3
a+2d=10 (1)
t10
a+9d=-4. (2)
From (1)
a=10-2d. (3)
Sub into (3) into equ (2)
a+9d=-4
10-2d+9d=-4
10+7d=-4
7d=-4-10
7d=-14
Divide both sides by 7
d=-14/7
d= -2
10=a+2d
10=a+2(-2)
10=a-4
10+4=a
14=a
a=14
t12=a+11d
= 14+11(-2)
=14-22
= -8
t12= -8
In a certain room, there are 28 women and 21 men. What is the ratio of
men to women? What is the ratio of women to the total number of
people?
Answer:
The men to women ratio is 3 : 4The ratio between women to total number of people is 4 : 7Step-by-step explanation:
Men to women ratio = 21 : 28 or 3 : 4
The men to women ratio is 3 : 4
Total people = 21 + 28 = 49 people
The ratio of women to total number of people is
28 : 49 or 4 : 7
The ratio between women to total number of people is 4 : 7
Tracy has a cell phone plan that provides 250 free minutes each month for a flat rate of $29.
Answer:
250 minutes with the flat rate of $29.
[tex]x\leq 250[/tex]
x would be the number of minutes called.
[tex]x-250[/tex]
Tracy would be charged by $0.35 per minute.
[tex]f(x)=29\\ 0\leq x\leq 250[/tex]
[tex]f(x)=0.35(x-250)+29,\\250\leq x\leq ∞[/tex]
What is a reasonable product of 3 9/10× 4 1/5?
Answer: 16.38
Step-by-step explanation: I had this same math problem a while ago and got it right.
Answer:
hello 55
Step-by-step explanation:
Select the correct answer.
What is the simplest form of the ratio 11 : 16?
A.
1:6
B
5:8
c.
11.16
D.
22:32
Answer:
C
Step-by-step explanation:
The ratio 11:16 cannot be simplified
Answer:
Its already in simplest form
Step-by-step explanation:
You can think of it as a fraction. you cant divide 11 by anything besides 1 and itself. 11 doesnt go into 16 at all, completely. So the ratio cant be simplified
Hhh I’m very bad at math
Answer:
See below;
Step-by-step explanation:
21 . Consider an exponential function;
[tex]Exponential Function in Form - y = a * b^x, where, a - start value, b - growth factor, x - time,\\\\Now y = f ( x ), in Other Words,\\p ( t ) = 300 * ( 0.5 )^t - Given,\\\\Through Substitution - f ( x ) = p ( t ), a = 300, b = 0.5, x = t,\\\\Conclusion ; 300 - ( start value ) - Starting Amount of Milligrams of Compound,\\0.5 - Milligrams Compound Decreases by[/tex]
Solution; Provided Directly Above
On a shelf there are 6 novels, 8 poetry books, and 4 mystery books. What is the probability that person A chooses a novel,then a mystery and walks away, then person B picks a mystery and a poetry book?
Answer:
2/255
Step-by-step explanation:
In total, there are 18 books on the shelf.
The probability that person A will pick a novel is 6/18 = 1/3
There are now 5 novels and 17 total books on the shelf
The probability that person A then picks a mystery is 4/17.
There are now 3 mysteries and 16 total books on the shelf.
The probability that person B then picks a mystery is 3/16.
There are now 2 mysteries and 15 total books on the shelf.
The probability that person B then picks a poetry book is 8/15.
The probability that all these events occur back to back is the product of their individual probabilities. Therefore, the probability is:
1/3 * 4/17 * 3/16 * 8/15 = 2/255
What is the product (40 + (-10))((36 + (-9))(32 + (-8))...(-32 + 8)(-36 + 9)(-40 + 10) where the first number in each factor is decreasing by 4 and second number in each factor is increasing by 1?
Answer:
0
Step-by-step explanation:
The first number is 40 and decreases by 4 in each factor, and the second number is -10 and increases by 1 in each factor.
The first number is positive and decreases by 10% its value in each factor, and the second number is negative and increases by 10% its absolute value in each factor. That means we will have a factor where both numbers are 0 (in the 11th value, we will have the first number 40 - 4*10 = 0 and the second number -10 + 1*10 = 0), so the factor will be 0 + 0 = 0, and then whole product will be zero.
Please help! Correct answer only!
For a fundraiser, there is a raffle with 50 tickets. One ticket will win a $180 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
Answer:
$ 3.60 ; Type in 3.60
Step-by-step explanation:
Consider the steps below;
[tex]Total Number of Tickets - 50 Tickets,\\Possible Number of Tickets Entered - 1 Ticket,\\\\Proportion - 1 / 50\\Money Won - 180 Dollars,\\\\Proportionality - 1 / 50 = x / 180, Where, x = " Expected Payoff "\\\\1 / 50 = x / 180,\\1 / 50 * 180 = x,\\x = 180 / 50,\\x = 3.60 Dollars,\\\\Conclusion ; x = 3.60 Dollars[/tex]
Solution ; " Expected Payoff " ⇒ $ 3.60
4 Student is 20% of ____ students
I need the answer please help me I don't want to fail my math class
Answer:
4 Student is 20% of 20 students
Step-by-step explanation:
if 4 = 20% then 1 = 5% to get a hundred percent then you need to multiply by 20
so 20
4 Student is 20% of 20 students
Answer:
4 Student is 20% of _20___ students
Step-by-step explanation:
20% of x = 4
20% = 0.20
of means multiplication so
0.2 * x = 4
x = 4 / 0.2 = 40 /2 =20
I will mark you brainliest!!!! What is the first step in adding these equations to eliminate y?
Answer:
I believe D
Step-by-step explanation:
If you multiplied -3 times 3 that would make -9
you can then add 9 + -9 and cross y off
How do i graph the quadratic function f (x)=-(x-3)(x+1)
Answers:
It's basically Inside, Outside, Outside, Inside. (I. O.O.I.)
Explanations:
Given
[tex]f(x)=-(x-3)(x+1)[/tex]
Distribute the (-1) to (x-3)
[tex]f(x)=(-x+3)(x+1)[/tex]
Now let's work the I. O. O. I.
Inside:
[tex](-x)(x)=-x^2[/tex]
Outside:
[tex](-x)(1)=-x[/tex]
Outside:
[tex](3)(x)=3x[/tex]
Inside:
[tex](3)(1)=3[/tex]
Add both the outsides (-x) and (3x) together
[tex]-x+3x=2x[/tex]
Your new equations is now.
[tex]f(x)=-x^2+2x-3[/tex]
Plzz give an example
how do you round to the nearest cubic
Answer:
I'm assuming that you mean "Cubic Unit". I will use inches in this example, but this will work with other units as well.
Let's say that the volume of a figure was 124.86 cubic inches.
Rounding to the nearest cubic inch is the same thing as rounding to the nearest whole number.
Locate the 'ones' place:
124.86
Check next door:
124.86
If the next door number is greater than or equal to 5, then we round up. If it's less than 5, we round down.
8 is greater then 5. Therefore, we would round up.
So, 124.86 cubic inches to the nearest cubic inch is 125 in³.
124.86in³ ≈ 125in³
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
THANKS FOR GIVING BRAINLIEST.
So we need to first find out f(7)
That would be if you look at the line its -1 on the y.
g(-1) on the line is 1 on x
10*-1+9*1
= -10+9
answer is -1
Answer:
10* f(7) +9* g(-1) = -1
Step-by-step explanation:
f(7) = -1, g(-1) = 1
10* f(7) +9* g(-1) = 10*(-1) +9*1 = -10 + 9 = -1
can someone answer number 10 and show the work? I really need it please
Answer:
D
Step-by-step explanation:
f(x)=(3/5)x-10
f(5)=(3/5)(5)-10=
3-10=
-7
Hope this helps!
how do you change a rational number to a decimal
Answer:
see below
Step-by-step explanation:
do long division
for example 42/8 = 5 2/8 =5 1/4 =5.25
Is a percent a ratio?
Describe using 1 complete sentence.
Answer:
Percent means hundredths or per hundred and is written with the symbol, %. Percent is a ratio were we compare numbers to 100 which means that 1% is 1/100. In a box of eight donuts two have pink sprinkles. ... Fractions, percent and decimals can all represent the same number, but they are expressed differently.
Step-by-step explanation:
i hope this is what u are looking for
36x^2-16 factored. please and thanks
Answer:
(6x+4)(6x-4)
Step-by-step explanation:
a^2 - b^2 = (a+b)(a-b).
sqrt of 36x^2 is 6x; sqrt of 16 is 4.
a = 6x, b = 4.
Answer:
[tex] (6x - 4)(6x + 4) \\ [/tex]
Step-by-step explanation:
[tex]36 {x}^{2} - 16 \\ {6}^{2} {x}^{2} - {4}^{2} \\ (6x - 4)(6x + 4)[/tex]
hope this helps you.
brainliest appreciated
good luck! have a nice day!
12. Which of the following numbers is
contained in the solution set of the
inequality 1-5x + 35| > 20?
A
-1
B
3
С
9
D
10
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Antonio and Candice had a race. Their distances past a particular landmark as the race progressed can be represented by linear
functions and are shown in the table of values and graph below. Which statement is true regarding Antonio and Candice's race?
Answer:Antonio had a head start of 3 meters
Step-by-step explanation:I took the test
Answer: Option B
(B) Antonio had a head start of 3 meters.
Step-by-step explanation:
Can someone please help me with this question please:(
Answer:
Since the figures are congruent, their areas must also be congruent so the answer is 28.
A number cube labeled 1 through 6 is rolled. Find the probability that the cube lands on a number less than 5
Answer:
2/3
Step-by-step explanation:
The number cube has 6 faces labelled 1 - 6.
There are 4 numbers less than 5 (1, 2, 3, 4).
Therefore, the probability that the cube lands on a number less than 5 is:
4/6 = 2/3
Try to form a triangle by dragging points a and d, is it possible to form a triangle with side lengths 1, 5, and 3 units
Answer:
It is not possible.
Step-by-step explanation:
The triangle inequality theorem states that any 2 sides of a triangle must be greater than or equal to the other side. If you add 3 and 1, you get 4, and that is less than 5, so the triangle cannot exist.
Answer:
1. No
2. Yes
3. No
4. Yes
5. Yes
Step-by-step explanation:
These are the answers for edge 2021
Evaluate [(40 + 5) − 3^2] ÷ 9 ⋅ 2. (1 point)
Answer:
[(40 + 5) − 32] ÷ 9 ⋅ 2
[(45) − 32] ÷ 9 ⋅ 2
[(13)] ÷ 9 ⋅ 2
[(13)] ÷ 9 ⋅ 2
_
1.4... ⋅ 2
_
2.8... ←Answer
Step-by-step explanation:
Find the areas of the sectors formed by ∠DFE. Round your answers to the nearest hundredth.
Answer:
Area of the sector in red = 177.87 cm²
Area of the sector in blue = 437. cm²
Step-by-step explanation:
Area of the sector = [tex]\frac{\theta}{360}(\pi )(r)^2[/tex]
Area of the sector shaded in blue = [tex]\frac{256}{360}(\pi )(14)^2[/tex]
= 437.87 cm²
Central angle formed by sector shaded in red = 360 - 256 = 104°
Area of the sector shaded in red = [tex]\frac{104}{360}(\pi )(14)^2[/tex]
= 177.884
≈ 177.88 cm²
Therefore, area of the sector shaded in red = 177.87 cm² and area of the sector in blue = 437.88 cm²
Emily convinced her mom to buy a giant box of her favorite cereal. Her mom doesn't think the box will fit on
their shelf. The volume of the box is 10,000 cm3. The base of the box is 25 cm by 10 cm.
How tall is the box of cereal?
am
Answer:
40cm
Step-by-step explanation:
A box is normally in the shape of a cube
formula of volume of a cube;
We want to find the height(tallness)
Volume=LengthxWidthxHeight
10000=25x10xHeight
10000=250H. (divide both side by 250 to remain with H only)
10000/250=250H/250
40cm=Height
Select the term that does not describe the triangle. Select all that apply.
A) acute
B) obtuse
C) scalene
The triangle is not obtuse. The triangle IS both acute and scalene.
Answer:
B) obutse
Step-by-step explanation
none of the angles are above 90 degrees so it cant be obtuse. All of the sides are unequal so it is scalene. Lastly, all of its angles are smaller than 90 degrees making it scalene and acute, not obtuse
