Answer:
1.977
Step-by-step explanation:
line up your decimal points
7.100
- 5.123 (borrow from 1 to make it 0 and make the 0 to the right of it a 10)
(now borrow from the 10 to make it 9 and make the other zero a 10)
7.100
- 5.123 (now borrow from 7 to make it 6 and make the 0 to the right of it a 10)
7 (now borrow from the 10 to make it 9 and subtract the 2)
7.100
- 5.123 (now subtract 1 from 10 and then subtract 5 from 6)
1.977
Suppose that the people in a certain city are catching cold. It is observed that after one week, 40% of the people who were sick are still sick. Of the people who were well, 30% are sick after one week. If, at some particular time, 20% of the people are ill, find the proportion of people who are sick after two weeks
Answer:
the proportion of people who are sick after two weeks is 33.2%
Step-by-step explanation:
Given the data in the question;
Let there be 100 people in the city;
20% of them are sick( 20/100 × 100) = 20 people
so 80% are fine = ( 100 - 20 ) = 80
after one week, 40% of the people who were sick are still sick
40/100 × 20 = 8%
of the 80% of people who were well, 30% got sick after one week
30/100 × 80 = 24%
so after one week. 8% + 24% = 32% of the people were sick,
hence 68% are fine.
now, after second week 40% of sick and 30% of not sick people previously will be sick
∴ Total people who are sick after two weeks
⇒ 40/100 × 32 + 30/100 × 68
= 12.8 + 20.4
= 33.2
Therefore, the proportion of people who are sick after two weeks is 33.2%
Find the mid segment of GH
Answer:
B. 2
Step-by-step explanation:
Based on the Midsegment of a trapezoid theorem:
GH = (BC + FE)/2
9x - 3 = (19 + (5x + 1))/2) (substitution)
9x - 3 = (20 + 5x)/2
Cross multiply
2(9x - 3) = 20 + 5x
18x - 6 = 20 + 5x
Collect like terms
18x - 5x = 20 + 6
13x = 26
Divide both sides by 13
x = 26/13
x = 2
Write the equation of the line in fully simplified slope-intercept form.
y
12
11
10
9
8
7
6
5
4
3
2
1
-12-11-10-9-8-7-6 -5 -4 -3 -2 21
1 2 3 4 5 6 7 8 9 10 11 12
-3
-4
-5
-6
-7
-10
-11
Answer:
y = ⁴/3x - 7
Step-by-step explanation:
✔️First, find the slope (m):
Slope (m) = ∆y/∆x = 4/3
m = ⁴/3
✔️Determine the y-intercept (b):
The y-axis is intercepted by the line at y = -7, therefore the y-intercept (b) would be -7.
b = -7
✔️Write the equation:
Substitute the value of m = ⁴/3 and b = -7 into y = mx + b (slope-intercept form equation).
y = ⁴/3x + (-7)
y = ⁴/3x - 7
A water tank already contains 55 gallons of water when Baxter begins to fill it. There is a crack in the tank and water begins to leak at a rate of 8 gallons per minute. Find the amount of water in the tank 6 minutes after Baxter begins filling the tank.
Answer:
Step-by-step explanation:
Therefore, the volume of the water in the tank 25 minutes after Baxter begins filling the tank is 255 gallons.
Step-by-step explanation:
Linear Equation; Ax+By=C
A linear equation to model this situation:
8x + 55 = C
Where;
8 is for the rate of gallons.
'X' is the minutes.
55 is the gallons of water the tank already contained.
8(25) + 55 = 255
Where;
8 is for the rate of gallons.
25 is the minutes.
55 is the gallons of water the tank already contained.
We have a bilateral triangle with base length 2 and sidelengths x where x is increasing at a rate
of 5 units per minute.
Find the rate of change of the side angle teta when x=2.
Answer:
[tex]\frac{5\sqrt{3} }{6}[/tex]
Step-by-step explanation:
Given :
base length = 2
side lengths = x
dx/dt = 5 unit/min
Determine d∅ / dt at x = 2
d∅ / dt at x = 2 = [tex]\frac{5\sqrt{3} }{6}[/tex]
attached below is a detailed solution
over a period of 3 hours, the outside temperature changed an average of -2.25 fahrenheit per hour. select the correct sentence that represents this situation.
the temperature decreased by 2.25 degrees fahrenheit from the beginning to the end of the 3-hour period.
the temperature increased by 0.75 degrees fahrenheit from the beginning to the end of the 3-hour period.
the temperature increased by 6.75 degrees fahrenheit from the beginning to the end of the 3-hour period.
the temperature decreased by 6.75 degrees fahrenheit from the beginning to the end of the 3-hour period.
Answer:
D
Step-by-step explanation:
-2.25 x 3 = 6.75
the temperature decreased by 6.75 after 3 hours
Answer:
The temperature decreased by 6.75 degrees Fahrenheit.
Step-by-step explanation:
This is answer choice D because the Start of Temperature is:
70F
Start Time: 9AM
(70,9) --> (67.75,10) --> (67.50,11) --> (67.25, 12)
Jasmine and Richard are arguing about which expression represents the sum of (6x - 3y) and (x + y). Richard says it is 7x - 2y but Jasmine says it is 7x - 4y. Who is right? Explain.
Answer:
Richard 7x-27
Step-by-step explanation:
6x-3y + x+y
find the value of x in the equation below. 18 = x - 10
Answer: x= 28
Step-by-step explanation:
18=28-10
18=18
all work must be shown and easy to read or follow.
Find the Greatest Common Factor of the Numerator and Denominator
1. 1248
2. 2024
3. 1070
Answer: The answer is two.
Step-by-step explanation: start by making a tree diagram and dividing all three numbers by two. Each number needs to end in whole numbers with no decimals or fractions. 1248 will be 624, 2024 will be 1012, and 1070 will be 535. Then as you keep dividing the only numbers that match together is two on all three as you will get 3 and 13 added to 1248, 11 and 23 added to 2024, and 5 and 107 to 1070. The only numbers that match are two so your answer is two.
Help how do I solve this and what is the answer. Explain plz
Quadrilateral ABCD with AB = 5.5cm, BC = 3.5cm, CD = 4cm, AD = 5cm, and <A = 45°.
Step-by-step explanation:
hope it helps
mark me brainliest
Slope of -1 through point (3,-1)
Answer:
Step-by-step explanation:
Y axis of y
A given angle measures 30° and the measure of its vertical angle is expressed as (5x + 5).
Part A
Write an equation to determine the value of x. Solve for 2.
Enter the correct answers in the boxes.
Answer:
Equation: 5x+5 = 30
x = 5
Step-by-step explanation:
Since vertically opposite angles are equal, then;
5x+5 = 30
Subtract 5 from both sides
5x +5-5 = 30-5
5x = 25
x = 25/5
x = 5
The required equation is 5x+5 = 30 (vertically opposite angles are equal)
The value of x is 5
Which quadrant is (-3,7) in?
A: 1 or |
B: 2 or ||
C: 3 or ||
D: 4 or IV
Please answer quickly Thank You
Answer:
find and interpret the value of × so that t(×) = 114.
What is the completely factored form of this polynomial?
81x4 − 16y4
Answer:
( 9 x^ 2 + 4 y ^2 ) ( 3 x + 2 y ) ( 3 x − 2 y )
The completely factored form of the polynomial 81x^4 - 16y^4 is:
(3x + 2y)(3x - 2y)(9x^2 + 4y^2)(9x^2 - 4y^2)
Determining the completely factored formApply the difference of squares formula:
(9x^2)^2 - (4y^2)^2
Factor the difference of squares:
(9x^2 + 4y^2)(9x^2 - 4y^2)
Apply the difference of squares formula again:
(3x)^2 + (2y)^2
(3x)^2 - (2y)^2
Factor the difference of squares:
(3x + 2y)(3x - 2y)
Putting it all together, the completely factored form of the polynomial 81x^4 - 16y^4 is:
(3x + 2y)(3x - 2y)(9x^2 + 4y^2)(9x^2 - 4y^2)
Learn more on polynomials here https://brainly.com/question/4142886
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On Saturday moming, Owen earned $27. By the end of the afternoon he
had earned a total of $60. Enter
an equation, using x as your variable, to determine whether Owen earned $33 or $37 on Saturday
afternoon.
Write a multiplication equation and a division equation that represent this situation. Use “?” to represent the unknown quantity.
Answer:
csdkc kwhbfc d cjasd c
Step-by-step explanation:
sdjnf ewaihfbashehkf liq4bf;wjhf
Please answer all i need help Factor the expression using the GCF. 50x-60 Next one Factor the expression using the GCF. 16m+40 next one Factor the expression using the GCF.27-45c next one Factor the expression using the GCF.
Answer:
10(5x - 6).
8(2m + 5).
9(3 - 5c)
Step-by-step explanation:
Given that
50x-60
16m+40
27-45c
The greatest common factor is a measure of the highest number present inside, or common to all the numbers that were listed. To take this one at a time, we have....
50x - 60. The highest number common to both of them is 10, and thus, we have
50x - 60 = 10(5x - 6), and this is the solved part.
16m + 40. The greatest number that's present inside both numbers is 8, and thus we have
16m + 40 = 8(2m + 5) and this is the solved part.
27 - 45c. The greatest common number is 9, and as a result, we have
27 - 45c = 9(3 - 5c), and this is the solution we were searching for
ms. simonaue and Mrs. law are racing in the big race. Their distance in meters and their time is measured in seconds. Ms. Simonaue ride is described in the equation.
[tex]y = \frac{3}{2} x + 4[/tex]
what is the description to match the equation. what is her rate? did she get a head start?
Answer:
She started 4 meters ahead and moves forward 1.5 meters every second.
The rate is 1 and 1/2 meters per second and she did get a head start of 4 meters
1. There were 28 students in Mr. Durant’s class. Sixteen were boys. What fraction of the students were girls?
2. Leonard made 6 birdhouses in shop class. He used one piece of wood that was 6 feet long and one piece of wood that was 7 feet long. How much wood did he use for each birdhouse?
9514 1404 393
Answer:
3/72 ft 2 inchesStep-by-step explanation:
1. 12 of the 28 students were girls, so the fraction is ...
12/28 = 3/7 . . . fraction that were girls
__
2. The total of 13 feet of wood, when divided into 6 equal parts, gives 13/6 = 2 1/6 feet per part. 1/6 ft = 2 inches.
Leonard used 2 feet 2 inches of wood for each birdhouse.
Need help with number 2 pls
1h----------------> 70x3=210 bacteria
2h-----------------> 210*3=630 bactaeria
let be y the number of bacteria at the t=0h
it is y=70 3^0
for t= 1h
y=70*3^1=210
for t=2h
y=70*3^2=630
so we can write y=70*3^x, where x is the number of hour
HELP HELP HELP HELP IM BEGGING YOU PLEASE PLEASE!!!
Answer:
2n + 18.....
Step-by-step explanation:
yea
Explain the power of products property and give an example.
Answer:
(ab)^n = a
Step-by-step explanation:
It basically says to take the entire equation in the parentheses and multiply by the exponent, sorry for the horrible handwriting
Will mark brainliest!!!
Solve for x
Answer:
2
Step-by-step explanation:
2
If f(x) = -2x2- x, what is f(2) and f(3)?
Principal: $2600
Rate: 3%
Time: 3 years
What is the interest made?
Answer:
$234
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 3%/100 = 0.03 per year,
then, solving our equation
I = 2600 × 0.03 × 3 = 234
I = $ 234.00
The simple interest accumulated
on a principal of $ 2,600.00
at a rate of 3% per year
for 3 years is $ 234.00.
Answer:
$234
Step-by-step explanation:
8. There were 512 people at the Talent Show,
Admission was $1.25 for adults and 50
for children. The receipts were $406.75.
How many of each attended?
Answer:
7.9 of each
Step-by-step explanation:
DUE IN 5 MINUTES!!!1!!11!1!!1
123 + 392 - 234 x 2 ÷ 3 + 223 x 14 =
Answer: 3481
Step-by-step explanation:
1. Five people arrive simultaneously at a theater. In how many ways can they line up at the ticket
booth?
Answer:
120
Step-by-step explanation:
Using factorial, we can calculate the total possible number of combinations to line up.
5! = 120.
5! is another way of saying 5 × 4 × 3 × 2 × 1
