Answers
Answer:
$70000
Step-by-step explanation:
For this problem, we need to convert the fractions into common denominators so we can get his total donated portion. From here, we can set up a proportion to fin his total income.
The greatest common denominator of 5 and 7 is 35. So
1/5 = 7/35. && 1/7 = 5/35
Add those together to get 7+5 = 12/35
So he gave away 12/35 of his income.
Now we set up a proportion to find his total.
35 / 12 = x / 24000
And now we solve for x:
x = (24000 * 35) / 12
x = 70000
So Mr. Pollard made $70000.
We can verify this by saying 24000 / 70000 to get the same reduced fraction 12/35.
Cheers.
Answer:
$70000Step-by-step explanation:
[tex]church + medical \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{1}{5} + \frac{1}{7} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{12}{35} [/tex]
He gave away combined $24000 both,
So,
[tex] \frac{12}{35} =24000[/tex]
[tex] \frac{1}{35} = \frac{24000}{12} \\ \: \: \: \: \: \: \: \: = 2000[/tex]
Therefore,
[tex] \frac{35}{35} = 2000 \times 35 \\ \: \: \: \: \: \: \: \: = 70000[/tex]
Related Questions
The table below shows the estimated number of customers that are subscribed to a streaming service between 2013 and 2017. The equation y=95,000(1.2)x describes the curve of best fit for the subscribed customers (y). Let x represent the number of years since 2013.
Year Subscribed Customers
2013 95,000
2014 114,000
2015 136,800
2016 164,160
2017 196,992
Using this equation, what is the approximate predicted number of subscribed customers in the year 2025?
A
236,390
B
847,030
C
1,016,435
D
1,368,000
Answers
Answer:
B847,030
Step-by-step explanation:
y=95,000(1.2)^x
2025 - 2013 = 12
y=95,000(1.2)^12
y=847029.54258
In a circle whose center is O, arc AB contains 100. Find the number of degrees in angle ABO. WILL MARK BRAINLIEST FOR BEST ANSWER A)50 B)40 C)65 D)60
Answers
Answer:
It is so easy u should get this right.
First draw a circle and there is an arc that is like forming a triangle inside a circle and then ab angle is 100 degree and outside is the center of the circle. And since u try to find how much is outside it most likely means that 100-60=40
so it b 40.
Step-by-step explanation:
The number of degrees in ∠ABO is 50°. Therefore, option A is the correct answer.
Given that, in a circle whose centre is O, arc AB contains 100°.
We need to find the number of degrees in ∠ABO.
How are angles and arcs related?An arc of a circle is a section of the circumference of the circle between two radii. A central angle of a circle is an angle between two radii with the vertex at the centre. The central angle of an arc is the central angle subtended by the arc. The measure of an arc is the measure of its central angle.
According to the theorem ∠ABO=1/2 × arc AB.
So, ∠ABO=1/2 × 100°=50°
The number of degrees in ∠ABO is 50°. Therefore, option A is the correct answer.
Learn more here about arc of a circle here:
https://brainly.com/question/15448382.
#SPJ2
Which professionals most directly use geometry in their work? A. accountants B. astronomers C. judges D. pharmacists E. politicians\
Answers
Answer:
Astronomers directly use geometry in their work rather than accountants , judges, pharmacist and politicians.
They used geometry to measure velocity , direction, distance, relativity, momentum, and probability. They used it to look at objects in the sky with a telescope by setting a required angle to get a proper view .
But Accountants, judges, pharmacist and politicians are not in use of geometry directly or frequently.
Hence, Option 'B' is correct.
Step-by-step explanation:
Answer: b
Step-by-step explanation:
The square of the product of 4 and a number.
Answers
Answer:
4 x n= y²
You have to find the product of a number and 4
Answer:
√4×n
Step-by-step explanation:
4*n squared so n stands for number
4 The surface area of a cube with side s is A = 682
Use the formula to find the surface area of a cube with s=4.
Answers
Answer:
96
Step-by-step explanation:
SA = 6*s^2
Since s = 4, we need to square it.
4^2 (4 Squared) = 16
Now we need to multiply 16 by 6 since there are 6 sides on a square.
16*6 = 96
So our Answer is 96.
--Variables
SA= Surface Area
s = Side Length or 4
which graph represents (x,y)(x,y)left parenthesis, x, comma, y, right parenthesis-pairs that make the equation y = 0.5x+5y=0.5x+5y, equals, 0, point, 5, x, plus, 5 true?
Answers
The graph of [tex]\mathbf{y = 0.5x + 5}[/tex] has a slope of 0.5, and a y-intercept of 5
The equation is given as:
[tex]\mathbf{y = 0.5x + 5}[/tex]
A linear equation is represented as:
[tex]\mathbf{y = mx + c}[/tex]
Where m represents the slope, and c represents the y-intercept
So, by comparison:
m = 0.5
c = 5
This means that:
The slope is 0.5, and the y-intercept is 5
Hence, the graph of [tex]\mathbf{y = 0.5x + 5}[/tex] has a slope of 0.5, and a y-intercept of 5
See attachment for the graph of [tex]\mathbf{y = 0.5x + 5}[/tex]
Read more about linear equations at:
https://brainly.com/question/11897796
3rd one i just did it on edge :P
Joshua is trying to find the product of 38 × 12. Which expression shows how Joshua could use place value to break up this problem and solve it?
(32 + 6) × (10 + 2)
(30 + 8) × (10 + 2)
(31 + 7) × (11 + 1)
(30 + 8) × (11 + 1)
Answers
Answer:
B did it on edg
Step-by-step explanation:
The expression that shows how Joshua could use place value to break up this problem and solve it is:
(30 + 8) x (10 + 2)
Option B is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
38 x 12
This can be written in place value as,
38 = 3 tens and 8 ones
12 = 1 tens and 2 ones
So,
38 = 30 + 8
12 = 10 + 2
Thus,
The expression used is (30 + 8) x (10 + 2)
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
HE SODA MACHINE
The soda machine at your school offers several types of soda. There are two buttons for your favorite drink, Blast,
while the other drinks (Slurp, Lemon Twister, and Diet Slurp) each have one button.
Describe the input and output of this soda machine.
While buying a soda, Ms. Whitney pushed the button for Lemon Twister and got a can of Lemon Twister.
Later she went back to the same machine, again pushing the Lemon Twister button, but this time she got a can
of Blast. Is the machine functioning consistently? Why or why not?
BLAST
BLAST
BLUSO
ooo
Students, write your resnonsel
Answers
Answer:
yes and no
Step-by-step explanation:
if a machine is work a lot lot LOT, then it might be jamed
or the teacher might have accidentally pressed blast and you might have not seen the buttons correctly
( also i am not a student of yours )
A chocolate factory has three classifications for the candies that it makes:
Caramels (12 varieties). please help!!!
Milk Chocolate (6 varieties)
Dark Chocolate (9 varieties)
1. Set up the NOTATION to figure out the different ways to choose 7 of the 12 Caramels
2. Set up the NOTATION to figure out the different ways to choose 3 of the 6 Milk Chocolates
3. Set up the NOTATION to figure out the different ways to choose 5 of the 9 Dark Chocolates
4. A customer has ordered an assortment to consist of seven types of caramels, three types of chocolate, and five types of dark chocolates.
How many such assortments are possible?
Answers
Answer:
1. 792 2. 20. 3. 126. 4.1995840
Step-by-step explanation:
Use the formula C(n,r)= n!/ r/ (n-r)! where n is total quantity of varieties and r is the quantity uou should choose.
1) n=12 (total quantity); r= 7
C(12,7)= 12!/(7! *(12-7)!)= 8*9*10*11*12/ (5*4*3*2)= 8*9*11= 72*11= 792
2) n=6 r=3
C(6,3)= 6!/ (3! * (6-3)!)= 6!/ (3!)^2= 4*5*6/ 3*2= 20.
3) C(9,5)= 9!/ (5!*4!)= 6*7*8*9/ (4*3*2*1)= 2*63= 126
4) You need to choose the whole set which consists of three components that has been defined. Multiply previous results
792*20*126= 1995840.
When copying a line segment to construct a new line segment why do you think it is important that the plotted point for the new line segment is not on the original line segment?
Answers
Answer:
It would be difficult to see what you are doing if the line segments overlapped, making it easier to make a mistake and harder to check your work.
If A = C + 3A=C+3, B = 2CB=2C, and C = 4C=4, which is the correct order from least to greatest?
Answers
Answer:
B, C, A.
Step-by-step explanation:
A = C + 3A = C + 3
A = C + 3
A = C + 3A
C + 3A = C + 3
3A = 3
A = 1
A = C + 3
1 = C + 3
C + 3 = 1
C = -2
B = 2C
B = 2(-2)
B = -4.
So, from least to greatest, B = -4, C = -2, and A = 1.
Hope this helps!
Calculus!
The volume of a substance, A, measured in cubic centimeters increases according to the exponential growth model dA/dt = 0.3A, where t is measured in hours. The volume of another substance, B, also measured in cubic centimeters increases at a constant rate of 1 cm^3 per hour according to the linear model dB/dt = 1. At t = 0, substance A has a volume A(0) = 3 and substance B has size B(0) = 5. At what time will both substances have the same volume?
Would it be correct to write the growth model of substance B as x + 5? And how could I write the growth model of substance A? Thank you in advance, and sorry for the poor formatting.
Answers
Answer:
The two substances will have the same volume after approximately 3.453 hours.
Step-by-step explanation:
The volume of substance A (measured in cubic centimeters) increases at a rate represented by the equation:
[tex]\displaystyle \frac{dA}{dt} = 0.3 A[/tex]
Where t is measured in hours.
And substance B is represented by the equation:
[tex]\displaystyle \frac{dB}{dt} = 1[/tex]
We are also given that at t = 0, A(0) = 3 and B(0) = 5.
And we want to find the time(s) t for which both A and B will have the same volume.
You are correct in that B(t) is indeed t + 5. The trick here is to multiply both sides by dt. This yields:
[tex]\displaystyle dB = 1 dt[/tex]
Now, we can take the integral of both sides:
[tex]\displaystyle \int 1 \, dB = \int 1 \, dt[/tex]
Integrate. Remember the constant of integration!
[tex]\displaystyle B(t) = t + C[/tex]
Since B(0) = 5:
[tex]\displaystyle B(0) = 5 = (0) + C \Rightarrow C = 5[/tex]
Hence:
[tex]B(t) = t + 5[/tex]
We can apply the same method to substance A. This yields:
[tex]\displaystyle dA = 0.3A \, dt[/tex]
We will have to divide both sides by A:
[tex]\displaystyle \frac{1}{A}\, dA = 0.3\, dt[/tex]
Now, we can take the integral of both sides:
[tex]\displaystyle \int \frac{1}{A} \, dA = \int 0.3\, dt[/tex]
Integrate:
[tex]\displaystyle \ln|A| = 0.3 t + C[/tex]
Raise both sides to e:
[tex]\displaystyle e^{\ln |A|} = e^{0.3t + C}[/tex]
Simplify:
[tex]\displaystyle |A| = e^{0.3t} \cdot e^C = Ce^{0.3t}[/tex]
Note that since C is an arbitrary constant, e raised to C will also be an arbitrary constant.
By definition:
[tex]\displaystyle A(t) = \pm C e^{0.3t} = Ce^{0.3t}[/tex]
Since A(0) = 3:
[tex]\displaystyle A(0) = 3 = Ce^{0.3(0)} \Rightarrow C = 3[/tex]
Therefore, the growth model of substance A is:
[tex]A(t) = 3e^{0.3t}[/tex]
To find the time(s) for which both substances will have the same volume, we can set the two functions equal to each other:
[tex]\displaystyle A(t) = B(t)[/tex]
Substitute:
[tex]\displaystyle 3e^{0.3t} = t + 5[/tex]
Using a graphing calculator, we can see that the intersect twice: at t ≈ -4.131 and again at t ≈ 3.453.
Since time cannot be negative, we can ignore the first solution.
In conclusion, the two substances will have the same volume after approximately 3.453 hours.
Write the correct answer on each blank.
1. Algebra is a continuation of arifmetic
using letters of the
to represent numbers.
Answers
Answer:
Step-by-step explanation:
alphabet to represent numbers.
Evaluate the following expression if v = 5 and w = -3: 6v - w. Type the number answer only. For example: if the answer was value is 17, then you would type 17 in the blank.
Answers
Answer:
33
Step-by-step explanation:
6v - w =
6(5) - (-3) =
30 + 3 =
33
Explain how the tangents of complementary angles are related.
Answers
Answer:
tan(α) = 1/tan(90°-α)
Step-by-step explanation:
The tangent of one is the reciprocal of the tangent of the other.
__
In a right triangle, ...
tan = opposite/adjacent
For the two complementary acute angles in such a triangle, opposite and adjacent are swapped. That is the tangent of one is the inverse of the tangent of the other. (That inverse is also known as the cotangent.)
tan(α) = cot(90°-α) = 1/tan(90°-α)
A 108-inch is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece.
Answers
Long piece is 81 inches
====================================================
Explanation:
x = length of short piece
3x = length of the longer piece (3 times longer)
x+3x = 4x = total length
total length = 108
So 4x = 108 is the equation which solves to x = 27 after dividing both sides by 4.
The short piece is x = 27 inches and the long piece is 3*x = 3*27 = 81 inches. Adding the two pieces gives 27+81 = 108 which helps confirm the answer.
Kami's fitness trainer recommends that she drinks 121212 fluid ounces of water 888 times a day.
How many cups does Kami drink in one day?
Answers
Answer:
13,454,532 cups a day
Step-by-step explanation:
121212*888=107,636,256 8 fluid ounces in a cup so divide by 8 to get 13,454,532.
Please solve if you can!
Answers
Answer:
Step-by-step explanation:
1) 76*.67 = 50.9
73 * .33 = 24.1
75% = C
2) .3 * 71 + .3*77+ .4*98=
21.3+23.1+39.2 = 83.6
83.6 = B
3) 73.24 vs. 68.55
hw 88 22 13.2
cp 84 8.4 8.4
test 59 23.6 35.4
fe 77 19.25 11.55
tats ester
totals = 73.24 68.55
It is 8th grade math please get it right. My Dad gave this to me
Answers
Answer:
A=535.93
Step-by-step explanation:
A=P(1+r)^t
A=500[(1+0.07/4)]^4
A=535.93
Maurice needs 45 exam review books for the students in his math class. The local bookseller will sell him the books at $3 each. He can also purchase them over the internet for $2 each plus $35 for postage. How much does he save by accepting the better offer?
Answers
Answer: he will save $42.50
Step-by-step explanation:
45÷3=15
45÷2+35=57.50
57.50-15= $42.50
13) The diameter of a plant cell is 1.26 m and the length of a bacterium is 5.1 m. Compare their diameters.
Answers
Answer:
The diameter of the bacterium is 4.05 times the diameter of the plant cell
Step-by-step explanation:
Given
The given parameters both represent diameters
Plant Cell; P = 1.26m
Bacterium; B = 5.1m
Required
Compare both diameters;
Write out both expressions
[tex]P = 1.26[/tex]
[tex]B = 5.1[/tex]
Divide B by P
[tex]\frac{B}{P} = \frac{5.1}{1.26}[/tex]
[tex]\frac{B}{P} = 4.04761904762[/tex]
Approximate
[tex]\frac{B}{P} = 4.05[/tex]
Multiply both sides by P
[tex]P * \frac{B}{P} = 4.05 * P[/tex]
[tex]B = 4.05 * P[/tex]
[tex]B = 4.05P[/tex]
This implies that;
The diameter of the bacterium is 4.05 times the diameter of the plant cell
Rewrite the equation by completing the square. x^2−4x+3=0
Answers
Answer:
x=1 or x=3
Step-by-step explanation:
Hello, please consider the following.
[tex]x^2-4x+3=0\\\\\text{Step 1 - complete the square}\\\\x^2-4x+3=x^2-2*2*x+3=(x-2)^2-4+3=(x-2)^2-1=0\\\\\text{Step 2 - move the constant to the right side, meaning adding 1 here.}\\\\(x-2)^2=1\\\\\text{Step 3 - take the root}\\\\x-2=\pm1\\\\x=2-1=1 \ \ or \ \ x=2+1=3[/tex]
Thank you
answers are -2,1
.
......
1st point: (1,2)
2nd point: (4,4)
Answers
Answer:
y = 2/3x + 4/3
Step-by-step explanation:
i found the slope using [tex]\frac{rise}{run}[/tex]. so it would be 2/3. next i just kinda tested similar numbers in the graph to find b.
if you aren't allowed to put factions i would say put:
y = 0.67x + 1.33
Answer:
[tex]2x - 3y + 4 = 0[/tex]
Step-by-step explanation:
The formula of finding equation of two different point is
[tex] \frac{x - x1}{x1 - x2} = \frac{y - y1}{y1 - y2} [/tex]
here, x1 =1, x2=4, y1= 2 and y2= 4
hope you can understand.
Find the AM and GM for the numbers 18 and 2
Answers
Answer:
Step-by-step explanation:
Solution:
AM =( X_1 + X_2 )/2
=( 18 + 2 )/2
=20/2
=10
Find Geometric mean for data 18,2
Solution:
GM =sqrt( X_1 × X_2 )
=sqrt( 18 × 2 )
=sqrt(36)
=6
jessica weighs x+34 pounds and Ronda weighs 12 pounds less. If Jessica gains 5 pounds and Ronda loses 2 pounds, what is the sum of their new heights.
Answers
Answer:
2x+59.
Step-by-step explanation:
Let J represent Jessica's weight and R represent Ronda's weight.
Jessica weighs x+34 pounds. Thus:
[tex]J=x+34[/tex]
Ronda weighs 12 pounds less than Jessica. In other words:
[tex]R=J-12=(x+34)-12\\R=x+22[/tex]
The sum of their weights, therefore, is:
[tex]J+R\\=(x+34)+(x+22)=2x+56[/tex]
Now, if Jessica gains 5 pounds and Ronda loses 2 pounds, the net gain of the total weight would be 3 pounds. Thus, we only need to add 3 to the original total to find the sum of their new weights:
[tex]2x+56+3=2x+59[/tex]
The sum of the new [weights] is represented by 2x+59.
which transformations can be used to map a triangle with vertices A(2, 2), B(4,1), C(4, 5) to A'(-2,-2), B'(-1.-4). C'(-5, -4)?
Answers
Answer:
C!
Step-by-step explanation:
nine hundred fifty-three thousand nine hundred two
Answers
Answer:
953 902
Step-by-step explanation:
Answer:
953,902
Step-by-step explanation:
nine hundred =900
fifty-three=53
thousand=1000
nine hundred=900
two=2
find the derivative of y=x²+3x
Answers
Answer:
[tex]\frac{dy}{dx}[/tex] = 2x + 3
Step-by-step explanation:
Differentiate each term using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]
y = x² + 3x
[tex]\frac{dy}{dx}[/tex] = 2[tex]x^{(2-1)}[/tex] + 3[tex]x^{(1-1)}[/tex]
= 2x + 3[tex]x^{0}[/tex]
= 2x + 3
please answer! i need the answers in order to move on:)
Answers
Answer:
1) [tex](\sqrt{25})^{2}[/tex]
[tex]=25[/tex][tex]=5^{2}[/tex]------------
2)
[tex]\sqrt{3}=3^{1/2}[/tex][tex]\sqrt[4]{3} =3^{1/4}[/tex][tex]\sqrt[3]{2} =2^{1/3}[/tex][tex]\sqrt[5]{2} =2^{1/5}[/tex]-------------
3)
[tex](\frac{49}{64} )^{1/2}[/tex]
→ [tex][\frac{7^{2} }{8^{2} } ]^{1/2}[/tex]
→ [tex][\frac{7}{8} ]^{2\times 1/2}[/tex]
→ [tex]\frac{7}{8}[/tex]
------------
4)
[tex]\sqrt[3]{\frac{27}{125} }[/tex]
[tex]\frac{\sqrt[3]{27} }{\sqrt[3]{125} } =\frac{\sqrt[3]{3^{3} } }{\sqrt[3]{5^{5} } }[/tex]
[tex]=\frac{3}{5}[/tex]
--------------
5)
[tex]32^{1/5}[/tex]
[tex]=(2^{5} )^{1/5}[/tex]
[tex]=2^{5\times1/5}[/tex]
[tex]=2[/tex]
--------------
OAmalOHopeO
Pks answer this attachment
Answers
Answer:
Anita's shape
Step-by-step explanation:
A shape with less number of sides will have longer sides.
Since, Anita's shape has less number of sides as compared to others.
Therefore, Anita's shape will have longest sides.