Answer:
Each angle would be equal to 36 degrees.
Step-by-step explanation:
If you take 360 degrees for a polygon and split it up into ten angles you get 36 degrees per angle.
1.) Simplify
(2a^2b^4z)(6a^3b^2z^5)
Step-by-step explanation:
Simplifying
(2a2b4z)(6a3b2z5)
Remove parenthesis around (2a2b4z)
2a2b4z(6a3b2z5)
Remove parenthesis around (6a3b2z5)
2a2b4z * 6a3b2z5
Reorder the terms for easier multiplication:
2 * 6a2b4z * a3b2z5
Multiply 2 * 6
12a2b4z * a3b2z5
Multiply a2b4z * a3b2z5
12a5b6z6
How is 0.00000432 expressed in standard scientific notation?
Answer:
4.32 × 10⁻⁶
Step-by-step explanation:
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A football team gained 6 yards on the first down, lost 19 yards on the second down, and gained 17 yards on the third down. How many yards does it need to gain on the fourth down to have a 10-yard gain (known as getting a first down) from its starting position?
Answer:
They need to earn 6 yards on the fourth down to have a 10 yard gain from their starting position
Step-by-step explanation:
A football team gained 6 yards on the first down, lost 19 yards on the second down,
Total gained yards:
6 - 19 = -13 yards
So at the end of 2nd down the team lost 13 yards.
They gained 17 yards on the third down.
-13 + 17 = 4
So at the end of 3rd down the team gained 4 yards.
They want 10 yard gain at the end of 4th down.
If they gain 6 yards in the 4th down then the sum will be 10 yards
4 + 6 = 10
Hence, they need to earn 6 yards on the fourth down to have a 10 yard gain from their starting position.
a mountain gorilla weighs 135 pounds and is gaining 1/2 pounds each week an eastern gorilla weigh 145 pounds and is loosing 1/4 pounds each week which of the following equation could be use to determine x, the number of weeks that it will take until the two gorilla weigh the same amount?
A. 135 + 1/2x = 143 + 1/4x
B. 135 + 1/2x = 143 - 1/4x
C. 135x +1/2 = 143x + 1/4
D. 135 + 1/2x = 143 + 1/4x
Answer:
I think its b because is says loosing 1/4 lbs each week. That would be subtraction. The others are adding.
The equation that represents two Gorillas weighing the same is,
B. 135 + (1/2)x = 143 - (1/4)x.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, A mountain gorilla weighs 135 pounds and is gaining 1/2 pound each week and an eastern gorilla weighs 145 pounds and is losing 1/4 pound each week.
The weights of the two Gorillas will be the same when we'll equate their individual equations which is,
135 + (1/2)x = 143 - (1/4)x.
Solving for 'x' would give us the number of weeks required for two Gorillas
to weigh the same.
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what is the midpoint in 74.1 and 74.2
Answer:
74.15
Step-by-step explanation:
this is bc there are ten spaces between 74.1 and 74.2. halfway between that is another 00.05 points.
Answer:
74.15
Step-by-step explanation:
you can find the average, by adding 74.1 and 74.2 and dividing by 2, which would get you 74.15
you can look on a number line and find the midpoint that way
hope this helps :)
What are the coordinates of the image of ΔABC after a dilation with center (0, 0) and a scale factor of 3?
where are the coorordinates at?
2(x – 2) + 6 = 0
can anyone tell me the answer with steps please
Answer:
x = -1
Step-by-step explanation:
2(x – 2) + 6 = 0
~Distribute left side
2x - 4 + 6 = 0
~Combine like terms
2x + 2 = 0
~Subtract 2 to both sides
2x = -2
~Divide 2 to both sides
x = -1
Best of Luck!
Solve the equation by completing the square.
7t2 + 28t + 56 = 0
t=
and t=
Answer:
t= -1.333
Step-by-step explanation:
Answer:
Answer included in photo.
Step-by-step explanation:
Allison works in a department store selling clothing. She makes a guaranteed salary of $350 per week, but is paid a commision on top of her base salary equal to 15% of her total sales for the week. How much would Allison make in a week in which she made $300 in sales? How much would Allison make in a week if she made x dollars in sales?
Answer: 395
0.15x+350
Step-by-step explanation:
A unit rate is a rate in which the unit in the denomonater is
A:1
B:2
C:0
D:3
Answer:
the answer is A hope this helped
Step-by-step explanation:
35/5 (fraction) + 3( 30 - 3^3 + 1)
Answer:
19
Step-by-step explanation:
Simplify the following:
35/5 + 3 (30 - 3^3 + 1)
The gcd of 35 and 5 is 5, so 35/5 = (5×7)/(5×1) = 5/5×7 = 7:
7 + 3 (30 - 3^3 + 1)
3^3 = 3×3^2:
7 + 3 (30 - 3×3^2 + 1)
3^2 = 9:
7 + 3 (30 - 3×9 + 1)
3×9 = 27:
7 + 3 (30 - 27 + 1)
30 + 1 = 31:
7 + 3 31 - 27
| 2 | 11
| 3 | 1
- | 2 | 7
| 0 | 4:
7 + 3×4
3×4 = 12:
7 + 12
7 + 12 = 19:
Answer: 19
HELP PLEASEE
The linear function m = 3a represents the amount m in dollars) of money a customer pays after buying a phone apps. Each customer can buy a maximum of three apps.
1. Identify the independent and dependent variables.
2. Is the domain discrete or continuous? Explain.
Answer:
1. The independent variable is a and the dependent variable is m
2. The domain is discrete
Step-by-step explanation:
let us explain the difference between discrete or continuous domains
Discrete domain: It is a set of input values that consists of only certain numbers in an interval.
Continuous domain: It is a set of input values that consists of all numbers in an interval.
In the question
m = 3a, where
m is the amount of money m in dollars
Each customer can buy a maximum of three apps
1.
∵ m is depended on the value of 3a
∴ m is the dependent variable ⇒ (output)
∴ a is the independent variable ⇒ (input)
∴ The independent variable is a and the dependent variable is m
2.
∵ The domain the input values
∴ Each customer can buy a maximum of three apps
→ That means it is a certain numbers
∴ The domain is discrete
The sum of three consecutive even integers is 138.Find the integers
Answer:
The 3 integers are 44, 46, 48
Step-by-step explanation:
The integers are:
Let the three consecutive even integers be denoted as :
x,x+2,x+4
x+x+2+x+4=138
3x+6=138
3x=138−6
3x=132
x=132/3
x=44
The integers are:
x=44
x+2=46
x+4=44+4=48
James wants to buy the new portable media player shown. He has 4 times as many songs as Susan. Susan has 1,263 songs.
Will all of his songs fit on the portable media player? How many songs does James have?
There are 60 cars in a used car lot.
Ford made 3/10 of the cars.
General Motors made 1/6 of the cars.
Honda made the remaining cars.
In this car lot, Honda made —
Answer:
Honda made 32 cars
Step-by-step explanation:
Total no. of cars = 60
car made by ford = 3/10 of total no of cars
car made by ford = 3/10 of 60 = 3/10* 60 = 18
car made by General Motors = 1/6of total no of cars
car made by General Motors = 1/6 of 60 = 1/6* 60 = 10
No of cars made by Honda = Total no. of cars - car made by ford - car made by General Motors
No of cars made by Honda = 60 - 18 - 10 = 32
In this lot, Honda made 32 cars.
A large water bottle holds 32 fluid ounces, which is 0.946353 liters. Round this decimal to the nearest thousandth.
Answer:
0.946 liters
Step-by-step explanation:
since the fourth decimal place is below 5, you would not round up the thousandths. also, the thousandths is the third decimal place (tenths, hundredths, thousandths).
i need help. Find the missing side lengths
Step-by-step explanation:
let x be the missing side length.We know that hypotenuse is 2x because x is opposite the 30 angle.
Using pythagorean theorem we have that x^2+9^2=(2x)^2
81=4x^2-x^2
81=3x^2
x^2=81/3=27
x=√27
so the missing side is √27
Find the measure of each angle in the diagram.
Answer:
10y° = 130°
(4x - 22)° = 50°
(7x + 4)° = 130°
(3y + 11)° = 50°
Step-by-step explanation:
From the picture attached,
Two lines are intersecting each other at a pint making two pairs of vertical angles.
By definition, pair of vertical angles are equal in measure.
10y° = (7x + 4)° [Vertical angles]
-7x + 10y = 4 -----(1)
(3y + 11)° = (4x - 22)° [Vertical angles]
-4x + 3y = -33 ------(2)
[Equation (1) × 3] - [Equation (2) × 10]
(-21x + 30y) - (-40x + 30y) = 12 + 330
-21x + 40x = 342
19x = 342
x = [tex]\frac{342}{19}=18[/tex]
From equation (1),
-7(18) + 10y = 4
-126 + 10y = 4
10y = 130
y = 13
Therefore, 10y° = 130°
(4x - 22)° = 50°
(7x + 4)° = 130°
(3y + 11)° = 50°
The ages of three sisters are consecutive integers with the sum of 180. How old are each of the brothers?
Write and solve and equation the above situation describes.
Answer:
Step-by-step explanation:
The age of three sisters are consecutive integers meaning they are only one year apart.
E.g. sister 1 = x yrs old
Sister 2 = (x + 1) yrs old
Sister 3 = (x + 2) yrs old
They have a sum of 180 meaning if you add all 3 of their ages, you get a total of 180.
Sister 1 + sister 2 + sister 3 = 180
x + (x + 1) + (x + 2) = 180
So gather the like terms and you get:
3x + 3 = 180
Subtract 3 from both sides
3x = 180-3 = 177
Solve for x by dividing both sides by 3.
x = 177/3 = 59
So now we know what x is so you just plug it back into the equations at the beginning for the ages of each of the sisters.
Sister 1 = x = 59
Sister 2 = x + 1 = 59 + 1 = 60
Sister 3 = x + 2 = 59 + 2 = 61
Andrew is evaluating his current financial position by totaling his monthly cash inflows and outflows. His cash inflows each month are $60 in allowance and $240 in wages from his part-time job working at the pet store. His cash outflows each month are $170 for his car payment, $70 in entertainment, and $45 for gas and food. How much, if anything, does Andrew have left over each month?
Which pair of numbers has a sum of 100?
Answer:
10 x 10 is a a sum because by multiply 10 10 times you get 100 as your sum/PS:10 x 10 also equals 10 sqart(2)
Solve 5(x+3)=2x+3 what does x equal
Answer:
x= -4
Step-by-step explanation:
1. Expand the brackets (multiply everything inside by the number outside):
5x + 15= 2x + 3
2. Move all of the x terms to one side and all of the number terms to the other:
Subtract 2x from both sides
5x-2x + 15= 2x-2x + 3
3x + 15= 3
Subtract 15 from both sides
3x + 15- 15= 3 - 15
3x= -12
3. Solve for x:
x= -12/3
x= -4
11. Find the product of (3x+5) with (2x - 3) in simplest form.
Answer:
(3x + 5)(2x - 3) = 6x² + x - 15
Step-by-step explanation:
To find the product of two binomials, we could use the FOIL method.
First
Outer (Outside)
Inner (Inside)
Last
(3x + 5)(2x - 3) = (3x)(2x) + (3x)(-3) + (5)(2x) + (5)(-3) = 6x² - 9x + 10x - 15 = 6x² + x - 15
So the product of the two binomials would be 6x² + x - 15.
I hope you find my answer and explanation to be helpful. Happy studying.
can I get help????? pleaseeeeeee
Answer:
The answer is:
u = 7
Step-by-step explanation:
7 x 1 = 7
7 x u = 7u
So..
u = 7
find the greater number of 6 digits which is perfect squre
1000^2 = 100000 the smallest 7 digit perfect square
(1000-1)^2 = 999^2 =998001
What is the solution to the equation t + 14 = 24?
Answer:
t=10
Step-by-step explanation:
t+14=24
-14 -14
t=10
Answer:
t = 10
Step-by-step explanation:
t + 14 =24
Subtract 14 from both sides:
t = 10
Check your work by substitution:
10 + 14 = 24
24=24
t = 10
what are the next 2 numbers in the pattern -6,48,-24,12...
Answer:
-6,48,-24,12,-6, 3
What statement models this equation ?
11+(-11)=0
Answer:
Addition of the opposite
Step-by-step explanation:
You are adding a negative number to the original (11) and that number you are adding ir the opposite of the first one, so the process will result in a zero (neutral element of the addition)
The center of an ellipse is (-9,3). One focus is (-6,3). The
major axis is 14 units long.
What is the equation of the ellipse in standard form?
Enter your answer by filling in the boxes.
Answer:
49 in first box, 40 in second box. I took the test.
The equation of an ellipse with center (-9, 3), focus (-6, 3) and major axis length of 14 units is [tex]\frac{(x+9)^2}{49} + \frac{(y-3)^2}{40}= 1[/tex]
The standard form of the equation of an ellipse is:
[tex]\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2}= 1[/tex]
The center of the ellipse, (h, h) = (-9, 3)
That is, h = -9, k = 3
The length of the major axis = 14 units
The length of the major axis = 2a
2a = 14
a = 14/2
a = 7
a² = 7²
a² = 49
The coordinates of the foci are [tex](h \pm c, k)[/tex]
One of the foci = (-6, 3)
h - c = -6
-9 - c = -6
c = -9 + 6
c = -3
[tex]c^2 = a^2 - b^2\\(-3)^2 = 7^2 - b^2\\9 = 49 - b^2\\b^2 = 49 - 9\\b^2 = 40[/tex]
Substitute a² = 49, b² = 40, h = -9, and k = 3 into the equation [tex]\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2}= 1[/tex]
[tex]\frac{(x+9)^2}{49} + \frac{(y-3)^2}{40}= 1[/tex]
The equation of an ellipse with center (-9, 3), focus (-6, 3) and major axis length of 14 units is [tex]\frac{(x+9)^2}{49} + \frac{(y-3)^2}{40}= 1[/tex]
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Jessica wants to earn at least a B this grading period, which is an average of an 85. So far Jessica has earned a 90, 75, and 88 on three tests. What is the least grade she can score on the fourth test to reach her goal?
Answer:
87
Step-by-step explanation: