Answer:
x = -8
y = -2
Step-by-step explanation:
The variable x in this system of equations is already isolated. Therefore, we can substitute it into the other equation and solve for y.
7(2y - 4) + 5y = -66
14y - 28 + 5y = -66
19y = -66 + 28
y = -2
Then we solve for x
x = 2(-2) - 4
x = -8
PLEASE HELP FAST! I'LL LIST U BRAINIEST IF U ANSWER RIGHT!
Part A: Solve the following equation: 8 + 2(x - 3) = 3x - 3 (2 points)
Part B: Solve the following absolute value equation: |2x + 6| = 8 (4 points)
Part C: Solve the following inequality: -5(x + 1) > 30 (2 points)
Part D: f(x) = 4x - 3. Find f(5) (2 points)
Answer:
Part A) x = -3
Part B) x = 1, x = -7
Part C) x < -7
Part D) 2
Step-by-step explanation:
Part A)
2(x - 3) = 3x - 3
open the parenthesis
2 * x - 2 * 3 = 3x - 3
2x - 6 = 3x - 3
subtract 2x from both sides
2x - 2x - 6 = 3x - 2x - 3
-6 = x - 3
add 3 to both sides
-6 + 3 = x
-3 = x
Part B)
|2x + 6| = 8
split this into two equations:
2x + 6 = 8
&
2x + 6 = -8
2x + 6 = 8
2x = 8-6
2x = 2
x = 1
2x + 6 = -8
2x = -8 - 6
2x = -14
x = -7
Part C)-5(x + 1) > 30
open the parenthesis
-5x - 5 > 30
add 5 to both sides
-5x > 35
divide both sides by -5
x > -7
since you divided by a negative, flip the sign.
x < -7
Part D)
f(x) = 4x - 3
substitute x for 5
5 = 4x - 3
5 + 3 = 4x
8 = 4x
2 = x
A insurance salesperson earns a salary of $4,200 per month plus a commission of 3% of sales. How much must the salesperson have to sell to make an income of at least $4,500?
Answer:
x = 10,000
Step-by-step explanation:
commision earned = $4500. - $4200
commision = 300
therefore:
commision = 3% of the amount of the sales
300 = 3% of x( the price isn't known)
300 = 3/100 * x
300 = 3x /100
multiplying both sides by 100
300 x 100 = 3x/100 x 100
30000 = 3x
Divide through by 3
x = 10,000.
the amount of the sales = 10,000
______________
To check
commision = 3% of 10,000
commision = 300
If a circle has more than one radius, they are all the same distance from the center to the edge.
True or False
THE ANSWER IS FALSE IM PRETTY SURE
Answer:
True
Step-by-step explanation:
All radii are half of a diameter.
How many four-digit personal identification numbers (PIN) are possible if the PIN cannot begin with a 0 and the PIN
must be an odd number?
a. 5,000
b. 4,500
c. 3,600
d. 500
Answer:
BStep-by-step explanation:
How many four-digit personal identification numbers (PIN) are possible if the PIN cannot begin with a 0 and the PIN must be an odd number?
ANSWER B: 4,500
The number of 4 digit personal identification numbers (PIN) is 4500
What is a PIN?A PIN is a security code that is used for verifying identities
There are 10 numerical digits i.e. 0 - 9
Since the 4 digit personal identification numbers (PIN) cannot begin with 0, then the first character can take any of 9 digits
The other three characters can take any of the 10 digits.
So, the number of PIN is:
PIN = 9 * 10 * 10 * 10/2
Expand
PIN = 4500
Hence, the number of 4 digit personal identification numbers (PIN) is 4500
Read more about arrangements at:
https://brainly.com/question/6032811
Which statement is not always true for a parallelogram?
Answer:
b
Step-by-step explanation:
Answer:
Diagonals are congruent drop a like if you got it right
Step-by-step explanation:
what is 179.9526 rounded to the nearest tenth
Answer:
180.0
Step-by-step explanation:
Answer:
179.9526 rounded to the nearest tenth is 180.0
Step-by-step explanation:
HELP If g(x) = (x + 5)2 - 12, what is the value of g(-7)?
Answer:
-16
Step-by-step explanation:
g(x) = (x + 5)2 - 12
g(-7)=(-7+5)2-12
g(-7)=(-2)2-12
g(-7)=-4-12
g(-7)=-16
What is the exact value of tan(105°).
2 +V3
-2+V3
2-√3
-2-√3
The exact value of tan(105°) is -2 - √3.
What is Tangent function?Tangent function of an angle in a right angled triangle is defined as the ratio of the opposite side to the adjacent side.
Given that, we have to find the exact value of tan(105°).
We know that,
105° = 60° + 45°
tan(105°) = tan (60° + 45°)
We know,
tan (A + B) = (tan A + tan B) / (1 - tan A tan B)
So,
tan (60° + 45°) = (tan 60 + tan 45) / (1 - tan (60) tan (45))
tan 60 = √3 and tan 45 = 1
tan (60° + 45°) = (√3 + 1) / (1 - √3)
Multiplying both numerator and denominator by (1 - √3),
= (√3 + 1)² / (1 - 3)
= -(3 + 2√3 + 1) / 2
= -(4 + 2√3) / 2
= -(2 + √3)
= -2 - √3
Hence the value of tan(105°) is -2 - √3.
Learn more about Tangent Functions here :
https://brainly.com/question/22043858
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HELPP PLZZZZZ (exam question)
Answer:
SAS
Step-by-step explanation:
Because of the the lines on the two sides and the one angles
Uriah deposited a check into his account for $310.64. Then, he withdrew 129.43 in cash in the same transaction. What is the net amount of Uriah's transaction?
Rewrite the expression using properties of exponents:
please help me so i dont fail
Question 3 of 10
What is 9C6?
O A. 96
OB. 10
O C. 56
O D. 84
1) Rotate the following 180°.
A travel agency is planning for a holiday for
a a group
of people. The agency receives quotations
from two coach companies. Maya Express and
Great Holidays. Maya Express charges $15 for
each person while Great Holidays charges a
fixed amount of $84 and an extra of $12 per
person. If the total amount charged by each
company is the same, find the number of
people going on the holiday.
Answer:
so it 15
Step-by-step explanation:
Draw a picture first, then use the Pythagorean Theorem to solve. Round
your answer to the nearest tenth.
A wire is stretched from the top of an 8-ft. pole, to a bracket 5-ft. from the
base of the pole. How long is the wire?
O 9.4
09.0
O 89.0
O 13
Answer:
your answer would be 9.4
Step-by-step explanation:
you'd have to plug in the numbers in the equation.
8^2 + 5^2 = c^2
64 + 25 = c^2
89 = c^2 then you'd do the square root of 89 which will give you 9.4 when rounded to the nearest tenth.
Given that f(x) = x2 - 2x - 15,
a. Find the coordinates of the y-intercept
b. Find the coordinates of the x-intercepts
c. Find the coordinates of the vertex
d. Use the above information to sketch a graph of f(x)
a) (0; -15)
you just let x be equal to 0.
b) ( -5; 0) and (3;0)
you just let y/ f(x) equal to 0.
c)
pls someone help me I don't understand!! if correct I'll make Brainliest!!!!
The perimeter of the base of a square pyramid is 16 feet and it stands 20 ft tall. Calculate the volume.
Answer: [tex]1706.67 feet[/tex]
Step-by-step explanation:
Formula: Volume = [tex]\frac{1}{3} \alpha^{2}h[/tex]
a is the length of the base's edge and h is the height. Since 16 is the length we would square it as it is the length, then we would multiply it by the height which is 20 ft.
Steps: Multiply
Volume = [tex]\frac{1}{3} \alpha^{2}h[/tex]
= [tex]\frac{1}{3} * 16^{2} * 20[/tex]
= [tex]1706.67 feet[/tex]
~I hope I helped you :)~
HELPPPPPPPPP WILL MARK 5 STARS!!!!!!!!!!!!!!!!!!!
Answer:
112
Step-by-step explanation:
What system of equations is shown on the graph?
Given that,
2a + 5b=22
b = 2
Find the value of a.
Answer:
11
Step-by-step explanation:
Answer:
a=5.5 I hope this helped you
A vanilla cake has a diameter of 8 inches. What is the radius?
Answer:
4
Step-by-step explanation:
d = 8 inches
r = 8/2 = 4 inches
Answer:
4 inches.
Explanation:
If the diameter is a circle, divide the diameter by two and you will have the answer of 4. This gives you the radius.
8 / 2 = 4
Hope this helps. Have a wonderful day.
What is the area of this triangle?
Answer:
what triangle????????????????????????????
What is the slope and y-intercept of -2y = -x + 6
Answer:
Slop= 1/2 (fraction not division just to make sure you know that ;-;)
Y intercept = ( 0,-3)
Step-by-step explanation: I can't really explain it since I did this years ago in 8th grade but just search up the step by step or watch a video about intercepts
Answer:
slope: 1/2
y-intercept: -3
Step-by-step explanation:
slope= rise over run of 2 points
(0,-3) and (6,0) are the points
We go up on the y axis 3 units
We go right on the x axis 6 units
rise/run= 3/6
3 ÷ 6= 0.5 or 1/2
y intercept: I graphed on desmos
It is the value when x= 0
The local ice cream shop surveyed the customers to see which flavor of ice cream is most popular 125 people choose chocolate as their favorite which represents 25% of the customers surveyed how many total customers were surveyed A.425 B.20 C.500 D.32
Answer:
500
Step-by-step explanation:
Let there were a total of x number of customers.
As 125customers choose chocolate flavor as their favorite which is 25% of the total customers surveyed, so
25% of x = 125
0.25x=125
x=125/0.25=500
Therefore, the total number of customers surveyed is 500.
Which decimal is the equivalent of 6/11?
A. 0.183
B. 0.1883
C. 0.54
Answer:
0.54
Step-by-step explanation:
6/11 in decimal form is closest to 0.54
help please !!!! Please !!!!
Answer:
child byeee kid jdhuwkjikw
Step-by-step explanation:
SOMEONE PLSSS HELP ME!!!!
Three of the sisters decide they would like to save money and get dessert elsewhere. If they all order grilled cheese sandwiches, then what is the maximum amount of money they can spend on dessert?
Whats the value of c? 60 - (3c + 4) = 4(c + 6) + c
Answer:
c=4 hope this helpss
Step-by-step explanation:
Answer and Explanation
__________________________________________________________
The value of "c" is 4.
Here's why.
__________________________________________________________
[tex]60-\left(3\cdot c+4\right)=4\cdot\left(c+6\right)+c[/tex]
What does c equal???
__________________________________________________________
Let's try using all numbers to find out what it is
[tex]60-\left(3\cdot 4+4\right)[/tex] = [tex]44[/tex]
[tex]4\cdot\left(4+6\right)+ 4[/tex] = [tex]44[/tex]
So it's 4!
__________________________________________________________
Hope this helps! <3
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