Answer:
Commutative Property
Step-by-step explanation:
Additive Identity: If you add a real number to zero or add zero to a real number, then you get the same real number back.
Additive Inverse: When you add the same number but reversed sign, you get 0.
Commutative Property: a + b = b + a
Addition distributive property: a(b+ c) = ab + ac.
In this case, we use the commutative property:
27 + 15 + 3 + 5 = 27 + 3 + 15 + 5.
We know that 27 + 3 = 30 and 15 + 5 = 20, so we get 50 quickly using mental math.
Answer:
Communitive
Step-by-step explanation:
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is three times the measure of the first angle. The third angle is 29 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles.
====================================================
Explanation:
The three angles add to 180, so x+y+z = 180
The second and third angles add to 3 times the measure of the first, so y+z = 3x
The third angle is 29 more than the second, so z = y+29
----------------------------
The system of equations is
[tex]\begin{cases}x+y+z = 180\\\\y+z = 3x\\\\z = y+29\end{cases}[/tex]
For now, let's focus on the second and third equations only.
Start with y+z = 3x. Replace z with y+29 which is valid because of the third equation.
So we'll have
y+z = 3x
y+y+29 = 3x
2y+29 = 3x
Let's isolate y
2y+29 = 3x
2y = 3x-29
y = (3x-29)/2
y = 3x/2 - 29/2
y = 1.5x - 14.5
We'll use this later.
--------------------------
Go back first equation of the system. Plug in z = y+29
x+y+z = 180
x+y+y+29 = 180
x+2y+29 = 180
Then plug in y = 1.5x - 14.5 we found earlier
x+2y+29 = 180
x+2(1.5x-14.5)+29 = 180
x+3x-29+29 = 180
4x = 180
x = 180/4
x = 45
---------------------------
We can use this x value to find y
y = 1.5x - 14.5
y = 1.5*45 - 14.5
y = 53
and use this to find z
z = y+29
z = 53+29
z = 82
As a check, x+y+z = 45+53+82 = 180 to help confirm the answer. I'll let you check the other equations.
can y’all please help me !!
If g(x)=x^2+4x-5, find g(-4) PLEASE HELP
Answer:
-5
Step-by-step explanation:
g(x)=x^2+4x-5
g(-4)=(-4)^2+4(-4)-5
g(-4)=(-4)(-4)+(-16)-5
g(-4)=16-16-5
g(-4)=0-5
g(-4)=-5
What are the numerical measures of each angle
in the diagram?
<1and <3 measure
degrees
<2 and <4 measure
degrees.
(3x - 1)
1
3
2
(2x + 9)
Answer:
angle 1 and 3 are equal by vertically opp. angle
3x-1 = 2x +9
3x-2x = 9+1
x = 10
put the value of x in any equation
3(10)-1 = 29
angle 1 = angle 3 = 29
angle 2 + angle 3 = 180 ° (linear pair)
angle 2 = 180 -29
angle 2 = 149
angle = angle 3 = 149.
Hope it helps
A luxury liner leaves a port on a bearing of 110 degrees and travels 8.8 miles. It then turns due west and travels 2.4 miles. How far is the liner from the port, and what is its bearing from the port?
Answer:
Distance= 6.6 miles
Bearing= N 62.854°W
Step-by-step explanation:
Let's determine angle b first
Angle b=20° (alternate angles)
Using cosine rule
Let the distance between the liner and the port be x
X² =8.8²+2.4²-2(8.8)(2.4)cos20
X²= 77.44 + 5.76-(39.69)
X²= 43.51
X= √43.51
X= 6.596
X= 6.6 miles
Let's determine the angles within the triangle using sine rule
2.4/sin b = 6.6/sin20
(2.4*sin20)/6.6= sin b
0.1244 = sin b
7.146= b°
Angle c= 180-20-7.146
Angle c= 152.854°
For the bearing
110+7.146= 117.146
180-117.146= 62.854°
Bearing= N 62.854°W
John writes 1/5 of a page in 1\10 of a minute how much time is it going to take for him to read a whole page
Answer:
2 pages/min
Step-by-step explanation:
Unit rate is:
1/5 page 1 * 10
------------------ = --------- page/min = 2 pages/min
1/10 min 5 * 1
Answer:
30 seconds
Step-by-step explanation:
1/10 of a minute: 6 seconds
60/10 = 6
6x10 = 60
now, if 6 seconds is 1/5 of the page you need to multiply
6 x 5 = 30 seconds
it takes him 30 seconds to write a page
Given that events A and B are independent with P(A) = 0.4 and P(B) = 0.25,
determine the value of P(A and B), rounding to the nearest thousandth, if
necessary
Answer:
0.1
Step-by-step explanation:
To do this you would just multiply 0.4 and 0.25 which would get you 0.1
Please help! Click on image. Hurry quick!
Answer:
the answers are
a) Area of triangle is 15 square inches
Perimeter of triangle is 18.5 inches.
b) Area of trapezium is 210 square cm.
Perimeter of trapezium is 61.5 cm.
c) Area of parallelogram is 21 square yards
perimeter of parallelogram is 22 yards
Step-by-step explanation:
Area of triangle is 1/2( base × height)
Area of trapezium is 1/2(p1 + p2)×height
Area of parallelogram is base × height
I need some help on this
Answer:
When we are multiplying the same number, let it be n, m times, what we do is:
[tex]n^m[/tex], where n is the base and m the exponent.
In this case we have 4 fives, 2 threes, 3 x and 1 y which are being multiplied , so we can convert them to exponents:
4 fives: [tex]5^4[/tex]2 threes: [tex]3^2[/tex]3 x: [tex]x^3[/tex]1 y: yThen we multiply all: [tex]5^4*3^2*x^3y[/tex]
Round 24,619,746 to the nearest hundred
Answer:
2,461,974
hope this helped
Answer:
[tex]24,619,700[/tex]
Step-by-step explanation:
[tex]24,619,746[/tex] to the nearest hundred
In the hundreds, it says 746. Since 46 is close 0, the answer would be [tex]24,619,700[/tex]. If the number was greater than 5 it answer would have been [tex]24,619,746[/tex] . But the number is 46. So that means your answer is
[tex]24,619,700[/tex]
Hope this helps!
If x and y are consecutive positive integers and x2 – y2 = 11, what is the value of y?
E. 1
F. 3
G. 5
H. 6
please provide explanation
Answer:
y = 5
Step-by-step explanation:
We khow that x and y are consecutive integers and that x^2 is greater than y^2 since x^2-y^2=11
● so x is greater than y
● wich means that x = y+1
● x^2-y^2=11
● (y+1)^2-y^2 = 11
● y^2+2y+1-y^2=11
● 2y + 1 = 11
● 2y +1-1 = 11-1
● 2y = 10
●2y/2 = 10/2
● y = 5
What is the height of BA?
Answer:
10 cm
Step-by-step explanation:
2/10=x/50
cross multiply
2*50=x*10
100÷10=x
x=10
Evaluate 6j+23+k/l−3, when j=3, k=7, and l=33.
Enter your answer in the box.
Answer:
37 7/33 or 37.212
Step-by-step explanation:
6j + 23 + k/l - 3
If j = 3, k = 7, and l = 33:
6 × 3 + 23 + 7/33 - 3
= 18 + 22 + 7/33 - 3
= 40 + 7/33 - 3
= 40 7/33 - 3
NOTE: Because 40 and 3 are whole numbers, 3 will be subtracted from 40.
= 37 7/33 or 37.212
PLease Help! I'm Stuck
We can solve this problem in two ways.
1. From the description we conclude that the described sequence is a geometric sequence where the first term a₁ = 2 and common ratio r = 3, so:
[tex]\boxed{a_n=2\cdot3^{n-1}}[/tex]
Answer D.
2. The easiest way. We know that a₁ = 2, so let's substitute n = 1 for each of the possible answers:
A. 3·2ⁿ = 3·2¹ = 3·2 = 6 - Wrong
B. 2·3ⁿ = 2·3¹ = 2·3 = 6 - Wrong
C. 3·2ⁿ⁻¹ = 3·2¹⁻¹ = 3·2⁰ = 3·1 = 3 - Wrong
D. 2·3ⁿ⁻¹ = 2·3¹⁻¹ = 2·3⁰ = 2·1 = 2 - Correct.
1.1.31
Determine whether the equation defines y as a function of x.
y = 3x² + 5x-4
Does the equation define y as a function of x?
Yes
No
Answer:yes
Step-by-step explanation:well its just yes so your welcomeFind all solutions by factoring.
4v2 - 25v = 21
Answer:
(4v + 3) and (v - 7)
Step-by-step explanation:
First rewrite 4v2 - 25v = 21 as 4v^2 - 25v - 21.
Let's now analyze -25v and -21. We need to identify two integers whose product is 21 and whose sum is -25.
Note that factors of -21 are ±1, ±3, ±7 and ±21. Factors of 4 (the coefficient of v^2) are ±1, ±2 and ±4.
Check out the following trial factors: (4v + 3) and (v - 7). Does this product come out to the given 4v^2 - 25v - 21? Yes. So the desired factors of 4v2 - 25v = 21 are (4v + 3) and (v - 7). Note how (3)(-7) = -21 and how 4(-7) + 3v add up to -25, the coefficient of the v term.
A mail carrier can deliver mail to 36 houses in 30 minutes. Mark wants to determine how many houses the carrier can deliver mail to in 7.5 minutes at this rate. He thinks that to find the answer, he should do the following. 1. First divide 36 houses by 30 minutes to find a unit rate of 1.2 houses per minute. 2. Then multiply 1.2 houses per minute by 7.5 minutes to get 9 houses. Which statement is correct?
Answer:
Mark’s method is correct, because even though it is impossible to deliver mail to 1.2 houses in a minute, 1.2 represents the unit rate of houses per minute.
Step-by-step explanation:
Just took the test.
Both the steps performed by Mark to determine ,the houses the carrier can deliver mail to in 7.5 minutes at this rate is correct .
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
According to the question
A mail carrier can deliver mail = 36 houses
Time taken to deliver mail in 36 houses = 30 minutes
Mark wants to determine , the houses the carrier can deliver mail to in 7.5 minutes at this rate.
By using unitary method :
Step1: First divide 36 houses by 30 minutes to find a unit rate
[tex]rate = \frac{36}{30}[/tex]
rate = 1.2 houses in a minute
Step2: Then multiply the rate to the required time
i.e 1.2 * 7.5 = 9 houses
Hence , Both the steps performed by Mark to determine ,the houses the carrier can deliver mail to in 7.5 minutes at this rate is correct .
To know more about unitary method here:
https://brainly.com/question/21648365
#SPJ3
What is the equation of the linear model shown?
A. y = 0.8x + 4
B. y = 1.25x − 0.5
C. y = −0.8x + 20
D. y = 0.8x + 0.4
Answer:
A. y = 0.8x + 4
Step-by-step explanation:
i just took the test
The equation of the linear model shown is A. y = 0.8x + 4
A linear model refers to a model where a response variable is being described. It should be noted that the response should be a continuous variable
The linear model is the framework for the set of models that predict a quantitative dependent variable through the independent variables given.
Based on the diagram, the equation of the linear model shown is y = 0.8x + 4
Read related link on:
https://brainly.com/question/16317786
A cyclist rides her bike at a speed of 18 miles per hour. What is this speed in kilometers per hour? How many kilometers will the cyclist travel in 2 hours? In
your computations, assume that I mile is equal to 1 kilometers. Do not round your answers.
Speed: ___km/h
Distance traveled in 2 hours :
__km
Answer: 110
Step-by-step explanation:
Answer:
Step-by-step explanation:
Is the product of fifteen negative integers positive or negative?
Answer:
the sign of the product of 15 negative numbers will be negative
Step-by-step explanation:
Heya mate!!
The product of odd numbers is odd and the product of even numbers is even.
so 15 is an odd number then the sign of product is odd
Hope this helps!!!
find the sum or difference -80+77
Answer:
Step-by-step explanation:
-3 is the difference
Which of these is least likey to describe a distance below sea level? Whole Number ,Integer, Rational Number, Real Number
Answer: A) Whole number
Explanation:
The set of whole numbers is {0,1,2,3,...} showing that negative values are not in this set. A distance below sea level is written as a negative (where positive values are above sea level). So you won't use the set of whole numbers for this type of problem.
In contrast, something like the set of integers is {..., -3, -2, -1, 0, 1, 2, 3, ... } including negatives this time. For example, we can write -10 to indicate we're 10 feet below sea level. Rational numbers and real numbers can also be negative.
She cools one sample of bacteria to a temp of - 51 degrees C and another to -76 degrees C. What was the temperature difference in the two experiments?
It is 25 C
76 - 51 = 25
I need help with this question thx
Answer: -5x^3 + 5y^3
Step-by-step explanation: The other parts cancelled out
Answer:
= -5x³ + 5y³
Step-by-step explanation:
4y³ - 5x³ - 1 - 4y³ - 6 + 7 + 5y³
= -5x³ + (4y³ - 4y³ + 5y³) + (- 1 - 6 + 7)
= -5x³ + (0 + 5y³) + (- 7 + 7)
= -5x³ + 5y³
Evaluate 9 -- 5 when b 8.
9+5=14 bx8=8b Hope this helps sir or miss!
Which expression is equivalent to 12x+(−7)−214x−(−2)?
Answer:
[tex]-(202x+5)[/tex] is the equivalent expression
Step-by-step explanation:
Given the following expression
[tex]12x+(-7)-214x-(-2)[/tex]
We are expected to find and re-write the expression such that it equals the given expression
We proceed by opening all brackets and work operations on signs
[tex]12x-7-214x+2[/tex]
collecting like terms we have
[tex]12x-214x-7+2\\\\-202x-5[/tex]
we can further re-write the new expression as
[tex]-(202x+5)[/tex]
Answer:
(23/454/7)(-324)
Step-by-step explanation:
Solve the inequality z−18≥−23 and write the solution in interval notation, using improper fractions if necessary
Answer: [-5,∞)
Step-by-step explanation:
z-18 ≥ -23 Add 18 to both sides
+18 +18
z ≥ -5
Which means x has to be greater than negative 5.
In interval notation it will be [-5,∞)
Answer:
z ∈ [-5; +∞)
Step-by-step explanation:
z - 18 ≥ - 23
<=> z ≥ 18 - 23
<=> z ≥ -5
----> z ∈ [-5; +∞)
In the past, 75% of the tourists who visited Chattanooga went to see Rock City. The management of Rock City recently undertook an extensive promotional campaign. They are interested in determining whether the promotional campaign actually increased the proportion of tourists visiting Rock City. The correct set of hypotheses is:________.A) H0: P > 0.75 Ha: P 0)75B) H0: P < 0.75 Ha: P 0)75C) H0: P 0)75 Ha: P < 0.75D) H0: P 0)75 Ha: P > 0.75
Answer:
a
Step-by-step explanation:
Will mark brainliest
Answer:
Step-by-step explanation:
The quotient of Y and 6 is 29" translates to Y/6 = 29. Solve this for Y
Y/6 = 29
Y = 29*6
Y = 174
So the second option is good
Number 15 is most likely the last option
Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{1. \: \: \: \: \frac{y}{6} }}}}[/tex]
[tex] \boxed{ \bold{ \boxed{ \sf{ 2. \: \: \: - 8}}}}[/tex]
Step-by-step explanation:
1. Quotient is a term for a division.
Quotient of y and 6 is written as y / 6
2. - 2 - 6
Calculate it :
= -8
hope I helped!
Best regards! :D
what is 7.004 as a fraction
Answer: It's 176/25 or 7 remainder 1/25