Answer:
a. Using the GCF and the Distributive Property to find the total number of stamps Mia, Alex, and Michael have:
28 + 49 + 77 = 154
= 7*4 + 7*7 + 7*11
= 7 (4 + 7 + 11)
= 7 (22)
= 154
Step-by-step explanation:
a) Data and Calculations:
Number of stamps that Mia has = 28
Number of stamps that Alex has = 49
Number of stamps that Michael has = 77
GCF = 7
b) GCF = Greatest common factor. The distributive property shows that multiplying two numbers (factors) together will result in the same thing as breaking up one factor into two addends, multiplying both addends by the other factor, and adding together both products. The knowledge of GCF and the distributive property helps to change expressions from standard forms to factored forms.
The total population of Aiken County is 173,000 and there are approximately 23,000 students enrolled in Aiken County schools. What percentage of Aiken County residents are enrolled in Aiken County schools? Round your answer to the nearest tenth.
Answer:
Percentage = 13%
Step-by-step explanation:
Given the following data;
Total population = 173,000
Number of students = 23,000
To find the percentage;
[tex] Percentage = \frac {Number \; of \; students}{Total \; population} * 100 [/tex]
[tex] Percentage = \frac {23,000}{173,000} * 100 [/tex]
[tex] Percentage = \frac {23}{173} * 100 [/tex]
[tex] Percentage = 0.1330 * 100 [/tex]
Percentage = 13.3 ≈ 13%
Therefore, the percentage of Aiken County residents that are enrolled in Aiken County schools is 13%.
find the value of x in the equation below. 18 = x - 10
Answer: x= 28
Step-by-step explanation:
18=28-10
18=18
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
What is the percent of change? Round to the nearest whole percent if necessary. Is the percent of change an increase or decrease? 100 to 150
Answer:
1)increase
2)50%
Explanation:
Use the formula↓
(y2 - y1) / y1)*100
(150 - 100) / 100) * 100 = 50 %
y1= first value
y2= second value
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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Which quadrant is (-3,7) in?
A: 1 or |
B: 2 or ||
C: 3 or ||
D: 4 or IV
Help how do I solve this and what is the answer. Explain plz
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.
5. That cool CD you have been waiting to purchase has finally gone on sale over at Wal-Mart for 25% off the original price. You borrow your room-mates employee discount card and head on over to your local Wal-Mart. It turns out the employee discount entitles you to an additional 15% off the sale price of the CD. If the original price was $32.99, what was the total final price you paid for your cool new CD including the 7.5% sales tax
Answer: $22.61
Step-by-step explanation: A 25% discount means that instead of paying the full value, you will pay 25% less. So the total price you will pay for a CD of $32.99:
P₁ = 32.99 * (1 - 0.25)
P₁ = 32.99 * (0.75)
P₁ = 24.7425
However, you still have a discount of 15% over the price, so:
P₂ = 24.7425 * (1 - 0.15)
P₂ = 24.7425 * (0.85)
P₂ = 21.03
The sales tax is a value incorporated over the price after all the discounts:
P = 21.03 * (1 + 0.075)
P = 21.03 * (1.075)
P = 22.61
The total final price for the CD is $22.61.
2
If f(x) = -2x2- x, what is f(2) and f(3)?
DUE IN 5 MINUTES!!!1!!11!1!!1
123 + 392 - 234 x 2 ÷ 3 + 223 x 14 =
Answer: 3481
Step-by-step explanation:
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
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
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.
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)
Quadrilateral ABCD with AB = 5.5cm, BC = 3.5cm, CD = 4cm, AD = 5cm, and <A = 45°.
Step-by-step explanation:
hope it helps
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Five units to the right of -6
Answer: -1
Step-by-step explanation:
how many months are in y years and m months?
Answer:
Step-by-step explanation:
There are 12 months in one year, so there would be 12*y in y years.
Answer:
there 12 months in one 1 year
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:
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.
simplify the following. 368+169
Answer:
537
Step-by-step explanation:
factor the expression using gcf 69 + 84
Answer:23/28
Step-by-step explanation:
69 + 84 = 23/28
if you divide it by 3
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
The graph shows the price of
different lengths of two types of
rope.
If you buy $1.00 of each kind of
rope, which one will be longer?
Answer:
Nylon
Nylon has a longer x-input for its' y-output, so it is longer.
$5200 at 7.36% for 54 months
a. Find the interest earned.
$
b. Find the balance of the account.
$
Answer:
Step-by-step explanation:
A)5200*54/12*7.36/100=5440.44
b)5200+5440.4410,640.44
Answer:
a. $1722.24 b. $6922.24
Step-by-step explanation:
for a: 5200*0.0736*54/12= 1722.24
for b: 1722.24+5200= 6922.24
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
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 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
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Solve for x
Answer:
2
Step-by-step explanation:
