Answer:
48
Step-by-step explanation:
Kristian : Stephanie
3 2
Kristian receives 72
72/3 = 24
Multiply each side by 24
Kristian : Stephanie
3*24 2*24
72 48
A runner covers the last straight stretch of a race in 3 s. During that time, he speeds up from 5 m/s to 11 m/s.What is the runner's acceleration in this part of the race?
Answer:
From first Newton's equation of motion:
[tex]{ \bf{v = u + at}}[/tex]
Substitute the variables:
[tex]{ \tt{11 = 5 + (a \times 3)}} \\ { \tt{3a = 6}} \\ { \tt{a = 2 \: {ms}^{ - 2} }}[/tex]
Acceleration is 2 ms-²
The simple interest formula is I = Prt, where I represents simple interest on an amount, P, for t years at a rate of r, where r is expressed as a decimal.
What is the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years?
$60
$80
$90
$100
Answer:
80
Step-by-step explanation:
I = Prt
I = 40 R = .10 T = 5
40 = P (.10)(5)
40 = P(.5)
Divide each side by .5
40/.5 = .5P/.5
80 = P
The interest over 5 years is $80.
The correct option is B.
What is the simple interest?Simple interest is the borrowing amount added only to the principal amount.
The Formula to calculate the simple interest is;
S.I. = P x T x R / 100,
Where S.I. is simple interest, P is the principal amount, T is the time period and R is the interest rate in a year.
We can use the formula I = Prt to solve for P. We know that I = 40, r = 0.10, and t = 5. Substituting these values, we get:
40 = P(0.10)(5)
Simplifying:
40 = 0.5P
Dividing both sides by 0.5:
P = 80
Therefore, the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years is $80.
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Use the given conditions to write an equations for the line in slope- intercept form. passing through (1,-8) and (-7,8)
Answer:
y = -2x - 6
Step-by-step explanation:
Going from the first point to the second, we see x decreasing by 8 from 1 to -7 (this is the 'run') and y increasing by 16 from -8 to +8 (this is the 'rise'). Thus, the slope of the line through these two points is m = rise/run = 16/(-8) = -2.
Using the point-slope formula y - k = m(x - h) and the point (1, -8), we get:
y + 8 = -2(x - 1), or
y = -8 - 2x + 2, or
y = -2x - 6 (in slope-intercept form)
If 1 ounce of silver costs $5.50, how much money is needed to buy 2 1/2 pounds of silver?
16 oz = 1 pound
Answer:
0.858
Step-by-step explanation:
2 1/2 from oz to pound is 0.156 and then mutiply that by 5.50 is 0.858
5^3x +2 = 25^x – 8
step by step please
Answer:
-8
Step-by-step explanation:
It wont let me upload anything so i will come back with steps later
If I take a 7 question multiple choice test, with 4 choices per question, what is the probability that I get 1 wrong
Answer:
The probability is [tex]\frac{3}{4^7}[/tex].
Step-by-step explanation:
Total questions = 7
Number of choices of each question = 4
Probability to give the correct answer = 1/4
Probability to give the wrong answer = 3/4
Probability to give 1 answer wrong
[tex]\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}\\\\= \frac{3}{4^7}[/tex]
simplify -8/2 ÷ 6/-3
Answer: the answer is 2 or C
-8/2 x -3/6
*Always do the recipical*
(-8 x -3) / (2 x 6)
-8 x -3= +24
2 x 6= 12
24/12= 2
The solution of the given expression -8/2 x -3/6 is 2. The correct option is B.
What is an expression?In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
Given that the expression is,
-8/2 x -3/6
The expression will be solved as below,
E = (-8 x -3) / (2 x 6)
The numerator will get reciprocal and multiplied to the denominator,
E = 24 / 12
Divide the number 24 by 12 and get the solution,
E = 2
Therefore, the solution of the expression will be 2. The correct option is B.
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What is the standard deviation of the following data set rounded to the nearest tenth? 300,785,670,187,760,724
Answer:
S.D = 236.5
~~~~~~~~~~~~~~~~~~
300,
785,
670,
187,
760,
724
Answer:
300, 790, 670, 190, 760, 720
In the diagram below, what is the approximate length of the minor arc AB?
Answer:
The answer is "Option C"
Step-by-step explanation:
Given:
[tex]r= 30 \ cm\\\\\theta =60^{\circ}[/tex]
Using formula:
[tex]\frac{A}{\theta}=\frac{\pi r^2}{2\pi}\\\\\frac{A}{\theta}=\frac{\pi r^2}{2}\\\\A=\frac{r^2\times \theta}{2}[/tex]
Which expression is equivalent to (x^-6/x-2)^3
Answer:
= (6/x - 2)^3
Please help me answer this question
Answer:
a, 14.13. b, 39.25
Step-by-step explanation:
so for a the diameter is 6 so the radius is 3. The equation for the area of the circle is πr2. So 3x3=9. then 9x3.14=28.26. But then we have to divide by two cause we are finding only the shaded area. 28.26/2=14.13.
A is 14.13
for b, its the same thing, so the radiu is 5 and 5x5=25. 25x3.14=78.5, and divide two, so 78.5/2=39.25.
B is 39.25
WARNING: I am not sure this is correct, so if this is wrong i'm sorry, i'm learning too :)
find the original price if the price was 420 after a 10% discount
Answer:
466.67
Step-by-step explanation:
Let p be the original price
p - 10 % p = 420
p - .10p = 420
.9p = 420
Divide each side by .9
.9p/.9 = 420/.9
p =466.666666
Rounding to the nearest cent
p = 466.67
What is the solution to the linear equation?
x – StartFraction 2 Over 3 EndFraction x minus StartFraction one-half EndFraction equals StartFraction 1 Over 3 EndFraction plus StartFraction 5 Over 6 EndFraction x. = + x
x = –5
x = –negative StartFraction 1 Over 6 EndFraction
x = StartFraction 1 Over 6 EndFraction
x = 5
Central and Eastern Europe experienced ethnic tensions in the early 1900s primarily because
Answer:
Step-by-step explanation:
A piece of fabric is 1/3 yard by 3 5/8 yards.
Irma solves 1/3*3 5/8 to find the area of the fabric in square yards.
Enter numbers to complete Irma's calculation for the area. (TTM)
Answer:
favricis 1/3 yard bt 3 5/8 yards wich it will be 64
Type the correct answer in the box. Use numerals instead of words.
Consider this expression.
|m^2+n^2|
Answer:
34
Step-by-step explanation:
We are here given a modulus expression and we need to find out the value when m = -5 and n = 3 .
Modulus :- It always gives positive value . For example ,
[tex]\rm\implies |-a| = a [/tex]
[tex]\rm\implies |a| = a [/tex]
The given modulus expression is :-
[tex]\rm\implies |m^2+ n^2| [/tex]
As the number inside the modulus operator are already squared therefore they will always give positive value for real numbers . Here we can omit the modulus .
[tex]\rm\implies m^2 + n^2 [/tex]
Plug in the given values ,
[tex]\rm\implies (-5)^2 + 3^2 [/tex]
Solve 5² and 3² and add them ,
[tex]\rm\implies 25 + 9 [/tex]
On adding ,
[tex]\rm\implies 34 [/tex]
Therefore ,
[tex]\rm\implies \boxed{\blue{\rm |m^2+n^2| = 34 }}[/tex]
Hence the required answer is 34 .
Please answer correctly and I will give brainliest and crown plus an extra 20 points
Answer:
30.28 yd²
Step-by-step explanation:
Area enclosed = area of trapezoid + area of semicircle
= ½(a + b)*h + ½(πr²)
Where,
a = 5 yd
b = 2 + 5 = 7 yd
h = 4 yd
r = ½(4) = 2 yd
Plug in the known values
Area enclosed = ½(5 + 7)*4 + ½(π*2²)
Area enclosed = ½(12)*4 + ½(π*4)
= 6*4 + π*2
= 24 + 2π
= 30.2831853
≈ 30.28 yd² (2 decimal places)
Solve for x.
x - 42 = 98 – 9x
x = [?]
Answer:
x=14
Step-by-step explanation:
x - 42 = 98 – 9x
x+9x=98+42
10x=140
x=14
Answer:
[tex]x - 42 = 98 - 9x \\ x + 9x = 98 + 42 \\ 10x = 140 \\ x = 14 \\ thank \: you[/tex]
a)out of 300 students In a class 60% of the students took physics and 35 students took chemistry and 20% of the students did not take any of this subject. how many students take both the subject
Answer:
25 students take both subjects.
Step-by-step explanation:
Solve for 60% of 300 students:
60/100 = x/300
Cross multiply:
60 × 300 = 100 × x
18000 = 100x
Divide both sides by 100:
180 = x
Solve for 20% of 300 students:
20/100 = x/300
20 × 300 = 100 × x
6000 = 100x
60 = x
Solve for the percentage of students in chemistry:
x/100 = 35/300
x × 300 = 100 × 35
300x = 3500
x = 11.66666...7
x = about 11.7%
Find the difference in percentages:
100 - 60 - 20 - 11.7
8.3
8.3% take both subjects
Solve for 8.3% of students:
8.3/100 = x/300
8.3 × 300 = 100 × x
2490 = 100x
24.9
About 25 students
Check your work by adding all the students together (to get to 300):
25 + 60 + 180 + 35
300 students total
This is correct!
the diameter of a bicycle wheel is 71 cm. calculate the circumference of the wheel
Answer:
233.05
Step-by-step explanation:
take the diameter and divide it by 2, that will give you the radius. Take the radius and multiply it by 2 then by pi. That will give you the circumference. So for the this question it would be:
71 divided by 2 = 35.5cm
35.5 x 2 x pi = 233.05
does this table represent a function? Why or why not?
X: 2 2 3 4 5
Y: 1 4 4 2 5
Please answer it ASAP
F(x)=-x^2+2mx+2m-3 with x<0
Answer:
m<√-3 OR m<√3i
Step-by-step explanation:
f(x)=x²+2m(x+1)-3
with x<0
b²-4ac<0
(2m)²-4(1×-3)<0
4m²+12<0
4m²<-12
m²<-12/4
m²<-3
m<√-3 OR m<√3i
solve/ Find the area….
Answer:
D. 195 cm^2
Step-by-step explanation:
The given is a trapezoid and to calculate the are of it we use the following formula :
(a+b)/2*h (a: base, b: base, h: height)
(9+21) / 2 * 13 = 195
If the scale on the map is 1cm :112 km. If two places are 197 miles apart. How far apart are they on a map
Answer:
22.4 cm
100% 2021 on edge!
Step-by-step explanation:
i need help on this please SHOW WORK
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
See this attachment
This trapezium is drawn on a centimetre grid.
Find the area of the trapezium.
Answer:
A = 18 units²
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h ( b₁ + b₂ )
where h is the perpendicular height and b₁, b₂ the parallel bases
By counting squares
h = 3, b₁ = 3, b₂ = 9 , then
A = [tex]\frac{1}{2}[/tex] × 3 × (3 + 9) = 1.5 × 12 = 18 units²
Which of the following represents the solution to the inequality
Answer:
the question?
Step-by-step explanation:
slove................
Angle 4 and Angle 2 are vertical angles, meaning that they are congruent. Therefore, the measure of angle 2 is 127 degrees.
Angle 4 and Angle 3 are a linear pair, meaning that they are supplementary and add up to 180 degrees. Therefore, the measure of angle 3 is 53 degrees.
Angle 3 and Angle 1 are vertical angles, meaning that they are congruent. Therefore, the measure of angle 1 is 53 degrees.
Hope this helps!
Answer:
<1 = 53
<2 =127
<3 = 53
Step-by-step explanation:
Angles 2 and 4 are vertical angles and vertical angles are equal
<2 = <4 = 127
<1 + <2 =180 since they form a straight line
<1 + 127 = 180
< 1 = 53
<1 and <3 are vertical angles so they are equal
<1 = <3 = 53
in a survey 50% like cold drinks 30% like hot drinks and 40% like juice. Likewise 20% of them like cold and hot drinks 18% like cold drinks and juice, 12% like hot drinks and juice and 5% like all three drinks. represent the above information in a venn diagram and find the percent of people who like:
i) at least one of the drinks
ii) exactly two types of drinks
iii) exactly one type of drink
iv) none of the drinks
Answer:
Step-by-step explanation:
C -> Percentage of people who take cold drinks
H -> Percentage of people who take hot drinks
J - > Percentage of people who take Juice
i) At least one of drinks = 17 + 3 +15 +18 +7 + 15 + 5 = 75%
ii) Exactly two types of drinks = Percentage of people who take cold and hot drinks + Percentage of people who take cold and Juice + Percentage of people who take hot drinks and Juices
= 15 + 13 + 7
= 35%
iii) Exactly one type of drink = Percentage of people who take only cold drinks + Percentage of people who take only hot drinks + Percentage of people who take only juices
= 17 + 3 + 15
= 35%
iv) None of the drinks = Total percentage - at least one of the drinks
= 100 - 75
= 25%
What is the midpoint of the segment shown below?
10
O A. (-3,-11)
O B. (-9,-)
10
(-12, -3)
O C. (-9.-11)
(3.-8)
OD. (-:-)
Jimmy's cedar trunk is in the shape of a rectangular prism and has a volume of 3/4 cubic yard. How many cubic blocks with a side length of 1/2 yard would Jimmy need to measure the volume of his trunk?
Answer: 6 blocks
Step-by-step explanation:
Given
Volume of the rectangular prism is [tex]V=\dfrac{3}{4}\ yd^3[/tex]
Length of the cubic block is [tex]a=\dfrac{1}{2}\ yd[/tex]
Volume of each cubic block is
[tex]\Rightarrow V_o=\left (\dfrac{1}{2}\right)^3\\\\\Rightarrow V_o=\dfrac{1}{8}\ yd^3[/tex]
Suppose, n blocks are required to measure the volume of Prism
[tex]\Rightarrow V=nV_o\\\\\Rightarrow \dfrac{3}{4}=n\cdot \dfrac{1}{8}\\\\\Rightarrow n=\dfrac{3\times 8}{4}\\\\\Rightarrow n=6\ \text{blocks}[/tex]
Thus, 6 blocks are required to measure the volume of prism.
Yes that person is correct
