Abel is 12 years old and Gino is 8. They share 15 apples in the ratio of their ages. How many does each get?
Answer:
Abel gets 9 apples while Gino gets 6 apples.
Step-by-step explanation:
Total age = 20 (Abel's age =12 + Gino's age =8)
Abel's share =
[tex] \frac{12}{20} \times \frac{15}{1 } = 9[/tex]
Gino's share =
[tex] \frac{8}{20} \times \frac{15}{1} = 6[/tex]
[tex]e^{4x-5} -7 = 11, 243[/tex]
Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution.
Answer:
x = 3.58Step-by-step explanation:
[tex]e^{4x - 5}[/tex] - 7 = 11243[tex]e^{4x - 5}[/tex] = 11250ln [tex]e^{4x - 5}[/tex] = ln 112504x - 5 = ln 112504x - 5 = 9.33 (rounded)4x = 14.33x = 14.33 / 4x = 3.58 (rounded)Answer:
x = 3.58 (2 d.p.)
Step-by-step explanation:
Given equation:
[tex]e^{4x-5}-7=11243[/tex]
Add 7 to both sides:
[tex]\implies e^{4x-5}-7+7=11243+7[/tex]
[tex]\implies e^{4x-5}=11250[/tex]
Take natural logs of both sides:
[tex]\implies \ln e^{4x-5}=\ln 11250[/tex]
[tex]\textsf{Apply the power law}: \quad \ln x^n=n \ln x[/tex]
[tex]\implies (4x-5)\ln e=\ln 11250[/tex]
As ln(e) = 1:
[tex]\implies 4x-5=\ln 11250[/tex]
Add 5 to both sides:
[tex]\implies 4x-5+5=\ln(11250)+5[/tex]
[tex]\implies 4x=\ln(11250)+5[/tex]
Divide both sides by 4:
[tex]\implies \dfrac{4x}{4}=\dfrac{\ln(11250)+5}{4}[/tex]
[tex]\implies x=\dfrac{\ln(11250)+5}{4}[/tex]
Using a calculator:
[tex]\implies x=3.582030852...[/tex]
Therefore:
[tex]\implies x=3.58\:\: \sf (2 \: d.p.)[/tex]
Learn more about log laws here:
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Clyde drew a map of his neighborhood. In the scale that Clyde used for his map, 0.5cm represented one mile. On Clyde’s map the distance between his house and his school is 1.5cm. What is the actual distance between Clyde’s house and his school?
Answer:
3miles
Step-by-step explanation:
if you add .5+.5+.5=1.5. so you added .5 to itself 3 times to get the answer
Order the following expressions by their values from least to greatest
Answer:
Step-by-step explanation:
a = -1
b = 2
c = 3
a + (-c) = -1 + (-3) = -4
Both numbers have same sign(-Ve).So add and the result will have the -Ve sign.
c - (-b) = c + b = 3 + 2 = 5
b = 2
Least to greatest: a +(-c) , b , c-(-b)
Suppose that Clayton Kershaw of the Los Angeles Dodgers throws his fastball with a mean velocity of 94 miles per hour (mph) and a standard deviation of 2 mph and that the distribution of his fastball speeds can be modeled by a Normal distribution What percent of Kershaw’s fastballs will travel at least 100 mph?
Answer:
Step-by-step explanation:
ah, probability, so the std. deviation is 2 MPH, so that means to get from the mean.. or average speed of 94, he'll have to vary by 3 std. deviations or 6 MPH to hit 100
99.7% of throws fall into that area of with in 3 std. deviations so that means
0.3% fall outside also , 1/2 of those will 3 std. deviations slow while the other half is fast
so
0.15% will be 100 or faster.... not many
0.15% is the percent of Kershaw’s fastballs will travel at least 100 mph.
What is Normal Distribution?A probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
The standard deviation is 2 MPH, so that means to get from the mean.. or average speed of 94, he'll have to vary by 3 standard deviations or 6 MPH to hit 100
99.7% of throws fall into that area of with in 3 standard deviations so that means
0.3% fall outside also , 1/2 of those will 3 standard deviations slow while the other half is fast
so 0.15% will be 100 or faster
Hence 0.15 percent of Kershaw’s fastballs will travel at least 100 mph.
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Find the mean from the following obtained marks of the student after constructing a frequency distribution table .
1,5,6,9,8,4,1,9,8,4,5,4,5,6,5,4,1,5,4,6
Mean = 8
The mean is the average number in a sequence. To find the mean we can simply use the following equation
(Sum of all numbers) ÷ (Amount of numbers)
The sum of the given numbers is 160
The amount of numbers is 20
So the mean = 160 ÷ 20 or 8.
Jake's test scores are 86, 70, 72, 100, 96, and 80. What must Jake earn of his last test to earn a mean grade of exactly 85%?
Answer:
91
Step-by-step explanation:
Mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
let x be his test score of his last test , then
[tex]\frac{86+70+72+100+96+80+x}{7}[/tex] = 85 ( multiply both sides by 7 )
504 + x = 595 ( subtract 504 from both sides )
x = 91
1
2
3
45
6
7
8.
9
10
Ronald spent $134.15 on school clothes. He counted his money and discovered that he had $33.85
left. How much money did he originally have?
Enter an equation, using m as your variable, to find how much money he originally had. Then solve
the equation
An equation is
Ronald originally had s
Hello!
So, using simple equation format, an equation could be:
$134.15 + $33.85 = m
Now we have to add the products.
134.15
+ 33.85
__________
168
Originally, Ronald had $168.
waffletowne
Find the value of x and y that will make each quadrilateral a parallelogram.
Answer:
to solve for x. So, x = 4 and y = 3. COORDINATE GEOMETRY Graph each quadrilateral with the given vertices. Determine
Which number line shows all the values of x that make the inequality -3x+1<7
true?
Answer:
D
Step-by-step explanation:
Firstly, we need to get the value of x 1-7 < 3x
-6 < 3x
-2 < x
or x > -2
So we need a number line that has the unshaded circle placed at 2 ( since the inequality sign is single) and it faces the right (arrow face right)
Helpppp 30 points and brainliest
Answer:
i would say it's probably c
find the area of the figure. pi = 3.14 :) THANKS
Step-by-step explanation:
[tex]57.12 {m}^{2} [/tex]
is the area of given figure
Answer:
A = 132.48 m²Step-by-step explanation:
The area of the figure is a sum of area of a rectangle 4 m × 8 m and a half of area of a circle with radius of 4 m.
A = 4×8 + 0.5×π×4² = 32 + 32π ≈ 32 + 32×3,14 = 132.48 m²
Why is the volume of a cone 1/3 the volume of a cylinder if the height and the radius are equal
Answer:
Step-by-step explanation:
88Identify the variable expression that is not a polynomial.
O A. 3 - 2
O B. 13
O C. y + 23
O D. x3
Answer:
the correct answer is d. x^3
A sphere just fits inside a cube with edges 20 in. Long. What is the volume of the sphere? What is the volume of the cube? What is the volume of the space between the cube and sphere?
Answer:
Step-by-step explanation:
Volume of a cube = (side)³
= (20)³
= 8000 cubic in.
Volume of the sphere which just fits in = [tex]\frac{4}{3}\pi r^{3}[/tex]
Here, r = Radius of the sphere
Since, sphere just fits in, radius of the sphere = half of the dimension of the cube
r = [tex]\frac{20}{2}[/tex]
r = 10 in
Therefore, volume of the sphere = [tex]\frac{4}{3}\pi (10)^3[/tex]
= 4188.79 cubic inch
Volume of the space between the cube and sphere = 8000 - 4188.79
= 3811.21 cubic inch
Convert 38 ounces to pounds
Answer:
2.375 poundStep-by-step explanation:divide the mass value by 16Answer:
2.375 pounds.
Step-by-step explanation:
formula: divide the number you need to convert by 16
ex. 38 divided by 16 = 2.375
Is it worth it to buy primogems?
I really want Zhongli but I'd need to pay $43 ($143 if I loose the 50/50)
Answer:
It depends on how much you enjoy the game
Step-by-step explanation:
Honestly I spent $50 in the game and I really didn't get anything good. The game is a gamble. If you enjoy and want Zhongli so much you are willing to pay than go for it :)
Answer:
you should
Step-by-step explanation:
bc its genshin impact
Which transformation can be used to prove that this parallelogram is symmetrical?
I choose four different integers. When I add all the pairs of these numbers in turn, the totals that I obtain are
23
,
26
,
29
,
32
and
35
, with one of these totals being repeated.
What is the largest of the four integers
The integers are 10, 13, 16 and 19 which add up to get a total of 23, 26, 29, 32 and 35
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The integers are 10, 13, 16 and 19 because:
10 + 13 = 23; 10 + 16 = 26; 10 + 19 = 29
Also;
13 + 16 = 19; 13 + 19 = 32 and 19 + 16 = 35
The integers are 10, 13, 16 and 19 which add up to get a total of 23, 26, 29, 32 and 35
Find out more on equation at: https://brainly.com/question/2972832
what is smallest positive difference between two fractions, if the denominator of one fraction is 5 and the denominator of the other is 9
WHO EVER ANSWERS FIRST AND CORRECTLY GETS TO BE BRAINLIEST
Answer:
4?
Step-by-step explanation:
I dont think its right because i dont know how can it be four its just a guess :)
if f(x) is [tex]cos x sin 3x[/tex] then f' at (π/6) is
a) 1/2
b) - √3 / 2
c) 0
d) 1
e) - 1/2
Answer:
A) 1/2
Step-by-step explanation:
name the property illustrated. 6 + (4+9) = (6 + 4) + 9
Answer:
associative property
Step-by-step explanation:
happy to help :)
Answer:
Associative Property
Step-by-step explanation:
The property says you can regroup the three numbers being added.
(a + b) + c = a + (b + c)
Either add a and b first, then add c, ...
or, add b and c first, then add that result to a.
More help is appreciated:))
Step-by-step explanation:
You need to translate all the points to the right 3 and up 6
Therefore, you are going to use this formula:
(x,y) ⇾ (x + 3, y + 6)
This is the same format as the previous problem, if you have noticed.
Using this, plug in each coordinate, starting with P (5, -1)
(5, -1) ⇾ ( 5 + 3, -1 + 6)
(5, -1) ⇾ ( 8, 5 )
P[tex]^{1}[/tex] = (8, 5)
Now point Q, (0, 8)
(0, 8) ⇾ (0 + 3, 8 + 6)
(0, 8) ⇾ ( 3, 14 )
Q[tex]^{1}[/tex] = (3, 14)
And last but not least, the point R, (7, 5)
(7, 5) ⇾ (7 + 3, 5 + 6)
(7, 5) ⇾ ( 10, 11 )
R[tex]^{1}[/tex] = (10, 11)
Therefore, P[tex]^{1}[/tex] = (8, 5), Q[tex]^{1}[/tex] = (3, 14), R[tex]^{1}[/tex] = (10, 11) is your answer. This is the 4th option or D.
Hope this for you to understand this a bit more! =D
PLSS HELP IMMEDIATELY!!!! ILL MARK BRAINIEST IF U DONT LEAVE A LINK OR GUESS!!!!
Answer:
3/4
Step-by-step explanation:
1/2 +1/4 = 2/4 +1/4 = 3/4
Answer:
I'm sorry someone answer before I could
Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
help I have three minutes left please
Answer:
Step-by-step explanation:
I < J < K < LGOOD LUCK WİTH YOUR EXAM!CAN YOU CHOOSE ME BRAİNLİEST PLS?
12 x (3 + 2 to the power of 2) divided by 2 - 10
Answer:
the answer is 28
Step-by-step explanation:
Answer: look at the picture I think you want this
Step-by-step explanation: Hope this help :D
lauren spent $3.26 for lunch on Tuesday she spent $1.98 on Wednesday and $2.74 on Thursday list the price in ascending order
Answer:
1.98, 7.74, 3.26
Step-by-step explanation:
I listed them from Smalest to largest 1.98 being samller than 2.74 and 2.74 being smaller than 3.26.
Hope this helped :)
Find the measure of the arc.
C
D
A
1469
E
B
MAB = [ ? ]°
Answer:
146 since the angle is a central that its measure is equal to the arc
i need help with this please
Answer:
x = 24°
Step-by-step explanation:
here's your solution
=> measure of angle 1 = (6x)°
=> measure of angle 2 = (x + 12)°
=> we know that The sum of angles on a straight line is equal to 180°
=> so, (6x)° + (x + 12°) = 180°
=> 7x + 12° = 180°
=> 7x = 180° - 12°
=> 7x = 168°
=> x = 168°/7
=> x = 24°
=> angle 1 = 24°×6 = 144°
=> angle 2 = 24° + 12 = 36°
hope it helps 【◆◆】
Answer:
∠ 1 = 144°, ∠ 2 = 36°
Step-by-step explanation:
∠ 1 and ∠ 2 are adjacent angles and sum to 180° , that is
6x + x + 12 = 180
7x + 12 = 180 ( subtract 12 from both sides )
7x = 168 ( divide both sides by 7 )
x = 24
Then
∠ 1 = 6x = 6(24) = 144°
∠ 2 = x + 12 = 24 + 6 = 36°