George spend 5 hours driving on the Interstate if George spent two more hours on the Interstate than on the highway.
What is linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose the George spend x hours on the interstate and (x+2) hours on the highway.
570 = 75x + 65(x-2)
570 = 75x + 65x -130
700 = 140x
x = 5 hours
Thus, George spend 5 hours driving on the Interstate if George spent two more hours on the Interstate than on the highway.
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What transformations would result in the image shown?
Δ ABC is reflected over both axes.
Δ ABC is reflected over the y-axis and translated down 5 units.
Δ ABC is reflected over the x-axis and translated right 5 units.
Δ ABC is translated right 5 units and down 5 units.
6 erasers cost $6.60.
Which equation would help determine the cost of 3
erasers?
Answer:
answer is a
Step-by-step explanation:
u just look at 6 and 6.60 thats 1 and 10 every eraser but for 3 its 1.30
The area of a square is 180 square inches. the measure of one side of the square lies between which of these two consecutive integers?
between 11 and 12
o
between 12 and 13
o
between 13 and 14
o
between 14 and 15
The measure of one side of the square lies between 13 and 14.
What is the measure of one side?
A square is a quadrilateral with four equal sides that has four angles that are equal and two diagonals that bisect each other at 90 degree.
Area of a square = length of a side²
length of a side = √ area
√180 = 13.42
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PLEASE HELP !!!!!!!!
Answer:Angle BCE
Step-by-step explanation:
look across from point C
An office building has the same number and size of offices on each floor. If there are 21 offices on the first 3 floors, then what is the total number of offices in the 10 story building?
Answer:
70 offices
Step-by-step explanation:
21 ÷ 3 to get amount per floor, 7 per floor, 7 × 10 = 70, 70 offices
a student walks 8 steps east 6 steps northeast 9 steps north west what is her displacement? include magnitude and direction
The displacement is 18.03 steps, and the direction is 47.25°
How to get the displacement?
We know that displacement is the difference between the final position and the initial position.
We assume the initial position (0, 0). Let's define the positive x-axis as the east and the positive y-axis as the north.
First, the student moves 8 steps east, so she is at:
(0 + 8, 0)
Then she moves 6 steps northeast, so the new position is:
(6*cos(45°) + 8, 6*cos(45°))
Finally, she moves 9 steps due north, so we have:
(6*cos(45°) + 8, 6*cos(45°) + 9)
Then the final position is:
(12.24, 13.24)
So the displacement is:
D = (12.24, 13.24) - (0, 0) = (12.24, 13.24)
The magnitude of the displacement is:
[tex]|D| = \sqrt{12.24^2 + 13.24^2} = 18.03[/tex]
So the magnitude is 18.03 steps.
And the direction is given by the arctangent of the quotient between the y-component and the x-component:
[tex]\theta = Arctg(13.24/12.24) = 47.25 \°[/tex]
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A student claims that the equation y = 7 is not a linear equation because it does not have the form y = mx + b. Do you agree or disagree? Why?
Answer:
This is correct because linear equations have to be in slope-int form
Step-by-step explanation:
Which of the following equations represents a line that is parallel to the line with equation y = 3/2*x-7/4?
(A) 6x+4y=8
(B) -6x + 4y = 11
(C) x-2y=-4
(D) 3x+2y=7
Answer:
(B) -6x + 4y = 11
Step-by-step explanation:
Two lines are parallel if they have the same slope
In the line equation, y = mx + b, m = slope
For y = 3/2*x - 7/4, slope = 3/2
(B) can be written as
4y = 6x +11
Dividing by 4 on both sides gives y = 6/4*x + 11/4 which is 3/2*x + 11/4 so the coefficient of x (the slope) is 3/2 which is the slope of the line in the question
Using same strategies for the other lines, you will see
(A) has slope -3/2
(C) has slope 1/2
(D) has slope -3/2
integral from 0 to 5 of x^2 + 3 dx
Answer:
=170/3 or (decimal 56.67)
Step-by-step explanation:
Steps
∫⁵ x²+3dx
⁰
Apply the Sum Rule: ∫fx) + gx) dx = ∫f(x)dx +-∫ g(x)
dx
∫⁵ x² dx +∫⁵ 3dx
⁰ ⁰
∫⁵ x² dx=125/3
⁰
∫⁵ 3dx=15
⁰
125/3+15
=170/3
A bicycle store costs $2200 per month to operate. The store pays an average of $40 per bike. The average selling price of each bicycle is $80. How many bicycles must the store sell each month to break even?
Answer:
Step-by-step explanation:
120n=2400+60n is break-even point
60n=2400
n=40 bikes need to be sold monthly to break even!!!!!!!!!!!!
What is the additive inverse of the complex number –12 4i? –12 – 4i –12 4i 12 – 4i 12 4i
The additive inverse of the complex number -12 + 4i is 12 - 4i
How to determine the additive inverse?The complex number is given as:
-12 + 4i
The additive inverse of a complex number a + bi is -a - bi
This means that the additive inverse of -12 + 4i is 12 - 4i
Hence, the additive inverse of the complex number -12 + 4i is 12 - 4i
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Answer:
It's C
Step-by-step explanation:
I need help pleaseeeeee I do not know what to do here
Answer:
[tex]A = 256[/tex]
Step-by-step explanation:
Since the hexagon is regular, we know that all of the side lengths are equal. We can find the length of the sides by solving for [tex]l[/tex] in the formula for the area of a hexagon:
[tex]A = \frac{3\sqrt{3}}{2}l^2\\384\sqrt{3} = \frac{3\sqrt{3}}{2}l^2\\384 = \frac{3}{2}l^2\\256 = l^2\\16 = l[/tex]
Now that we have the side length, we can find the area of the square:
[tex]A = l^2\\A = 16^2\\A = 256[/tex]
Answer:
256 in²
Step-by-step explanation:
Area of a Hexagon (To find side length)
A = 3√3 x l² x 1/2384√3 = 3√3 x 1/2 x l²256 = l²l = 16 inArea of square
Area = (Side length)²Area = (16)²Area = 256 in²Badia is the apprentice at the local screws and nails factory. The other day she made some six - inch nails. Charli who works next to her made one and half times as many as Badia, but Siva made twice as many as Charli. They all made a total of 110 six - inch nails.
45. How many did Badia make?
46. How many did Charli make?
47. How many did Siva make?
Answer:
45. 20
46. 30
47. 60
Step-by-step explanation:
Let :
Badia = xCharli = 1 1/2x = 1.5xSiva = 2(1.5)x = 3xSolving
x + 1.5x + 3x = 1105.5x = 110x = 20Solution
Badia = 20Charli = 30Siva = 60Answer:
Badia made 20 nails
Charli made 30 nails
Siva made 60 nails
Step-by-step explanation:
Let b = number of nails Badia made
Let c = number of nails Charli made
Let s = number of nails Siva made
Given:
Charli made one and half times as many as Badia⇒ Equation 1: c = 1.5b
Given:
Siva made twice as many as Charli⇒ Equation 2: s = 2c
Given:
They all made a total of 110 nails⇒ Equation 3: b + c + s = 110
Substitute Equation 1 into Equation 2:
⇒ s = 2(1.5b) = 3b
Substitute s = 3b and Equation 1 into Equation 3 and solve for b:
⇒ b + c + s = 110
⇒ b + 1.5b + 3b = 110
⇒ 5.5b = 110
⇒ b = 20
Substitute found value of b into Equation 1 and solve for c:
⇒ c = 1.5b
⇒ c = 1.5(20)
⇒ c = 30
Substitute found value of c into Equation 2 and solve for s:
⇒ s = 2c
⇒ s = 2(30)
⇒ s = 60
Therefore:
Badia made 20 nailsCharli made 30 nailsSiva made 60 nailsDoes anybody understand this? QSRT is a Rectangle and SQR=55
Answer:
90°; 55°; 35°; 110°; 70°
Step-by-step explanation:
A rectangle has corner angles that are 90°. When the corner angle is divided into two parts, the total of the parts is 90°.
Each of the triangles is isosceles. The figure is symmetrical about its center.
An exterior angle to a triangle is equal to the sum of the remote interior angles.
__
∠SRT = 90° . . . . a corner angle
∠STR = 55° . . . . symmetrical to the given angle
∠QRS = 180° -55° -90° = 35° . . . . sum of angles in ΔQRS is 180°
∠QPT = 2×55° = 110° . . . . exterior angle to ΔQPS; ∠QSP =∠SQP
∠TPR = 180° -110° = 70° . . . . forms a linear pair with ∠QPT
_____
There are numerous ways to figure any or all of these angles. They come down to the fundamentals: angles in a triangle total 180°; angles that form a line total 180°; corner angles of a rectangle are 90°. Base angles of an isosceles triangle are congruent.
The exterior angle rule derives from the sum of angles in a triangle and on a line both being 180°.
Kyle is considering a 7/1 ARM. What does 7 represent?
Answer:
The number of years the fixed interest rate will be applied to the loan
Step-by-step explanation:
I just guessed the answer was (The number of years the fixed interest rate will be applied to the loan)
What is the solution to the equation
m - 8 = 12
Answer:
m= 20
Step-by-step explanation:
add 8 to both sides,
12+8=20
Verify whether x ≤ 3 is the solution to the inequality 7x ≥ 20x - 39.
Answer:
Yes, it is correct.
Step-by-step explanation:
7x≥20x-39
39≥13x
x≤39/13
x≤3
the length of a rectangle is a inches. the width is 3 inches longer then the length. What is the area and the perimeter of the rectangle
Step-by-step explanation:
here's the answer.......
The area of a DVD is 36π cm. What is the diameter of the DVD?
Answer:
12 cm
Step-by-step explanation:
shape of DVD is circle
Area of circle = 36π
πr² = 36π
r² = 36
r = √36
r = 6
Diameter (d) = 2r = 2(6) = 12cm
stuck on these two questions.. finding the indicated limit
Answer:
1: The limit doesn't exist
2:
Step-by-step explanation:
Question 1:
f(x) = x + 10 for when x approaches 8
18 = 8 + 10 which is NOT true x < 8 18 < 8
f(x) = 10 - x for when x approaches 8
2 = 10 - 8 which is NOT true x ≥ 8 2 ≥ 8
Question 2:
f(x) = 5 - x for when x approaches 5
0 = 5 - 5 which is TRUE x < 5 0 < 5
f(x) = 8 for when x approaches 5
which is NOT x = 5 8 = 5
f(x) = x + 3 for when x approaches 5
8 = 5 + 3 which is TRUE x > 5 8 > 5
Select the correct answer. which expression shows the factors of 9x2 3x − 2? a. (3x − 1)(3x − 2) b. (3x 1)(3x − 2) c. (3x 2)(3x − 1) d. (9x − 2)(x 1)
The complete factor of the expression 9x² + 3x - 2 is (3x - 1)(3x + 2)
How to determine the complete factorization?The expression is given as:
9x² + 3x - 2
Expand the equation
9x² + 3x - 2 = 9x² + 6x - 3x - 2
Factorize the expression
9x² + 3x - 2 = 3x(3x + 2) - 1(3x + 2)
Factor out 3x + 2
9x² + 3x - 2 = (3x - 1)(3x + 2)
Hence, the complete factor of the expression 9x² + 3x - 2 is (3x - 1)(3x + 2)
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i can not figure this question out someone help pls.
Answer:
228,5
Step-by-step explanation:
a=10
b=15
The area of rectangle:
S=a*b
S=10*15
S=150
The area of 2 halfcircles (1 circle):
d=10
r=d:2
r=5
S=πr²
S=3,14*5²
S=3,14*25
S=78,5
The area of the figure:
78,5+150=228,5
Which equation is y = 9x2 9x – 1 rewritten in vertex form? y = 9 (x one-half) squared minus thirteen-fourths y = 9 (x one-half) squared minus 1 y = 9 (x one-half) squared five-fourths y = 9 (x one-half) squared minus five-fourths
Answer:
A
Step-by-step explanation:
A lightbulb manufacturer must test a sample of lightbulbs to ensure that quality and safety standards are being met. Which of these methods will produce the most representative sample of the population of lightbulbs made by this company? OA. The manufacturer tests every lightbulb made on Monday. B. The manufacturer tests the last 100 lightbulbs produced each month. OC. The manufacturer tests the first lightbulb off the production line each day OD. The manufacturer tests every 1000th lightbulb off the production
Answer:
D
Step-by-step explanation:
It makes the most sense
Solve for x.
X=
x +19 7x +9
Step-by-step explanation:
X+7x=9-19
8x=-10
X=-10÷8
X=1.25
Equivalent fractions for 6/11 and 5/12 using the common denominator
well, the cheap answer is, simply multiply the top and bottom of one fraction by the other fractions denominator, Check the picture below.
PLEASE HELP WITH THE PICTURE BELOW NEED IT IMMEDIATELY!
50 POINTS!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's use slope - point form of line to get the required equation ~
[tex]\qquad \sf \dashrightarrow \:y - y_1 = m(x - x_1)[/tex]
where,
m = slope of the line ( given in question )[tex] \sf{y_1 = 6} [/tex][tex] \sf{x_1 = 9} [/tex]Now, let's put in the values ~
[tex]\qquad \sf \dashrightarrow \:y - 6= \dfrac{5}{9} (x - 9)[/tex]
[tex]\qquad \sf \dashrightarrow \: y - 6 = \dfrac{5}{9} x - 5[/tex]
[tex]\qquad \sf \dashrightarrow \: y = \dfrac{5}{9} x - 5 + 6[/tex]
[tex]\qquad \sf \dashrightarrow \: y = \dfrac{5}{9} x + 1[/tex]
So, the correct choice is A
There are 26 counters in a bag. 5 of the counters are pink. 10 of the counters are blue. the rest of the counters are white. jan puts some more pink counters into the bag. she then takes some blue counters out of the bag. after she has done this there are still 26 counters in the bag. jan then takes at random a counter from the bag. the probability that she takes a pink counter is 1/2 what is the probability that she takes a blue counter?
The probability of picking a blue counter from the bag is 1 / 13.
What is the probability?The number of counters initially in the bag:
white counters = 26 - 10 - 5 = 11 pink counters = 5 blue counters = 10The number of counters now in the bag:
white counters = 11pink counters = (5 + x) / 26 = 1/213/26
x = 13 - 5 = 8
blue counters = 26 - 13 - 11 = 2Probability of picking a blue counter = number of blue counters / total number of counters
2/26 = 1 / 13
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Does anybody know this? Find the value of y and z
Answer:
z = 70 (Since it is a straight angle)
y = 110 (y = 180 - z)
The probability of spinning am even number is 40%. What is the probability of not spinning an even number, written as a decimal
Answer:
That would be 0.6 that means 60 percent.
Answer:
Probability of not spinning an even number is 0.6
Step-by-step explanation:
Total probability is 100 since it represented by %.
Therefore if 40% is the probability of spinning an even number then that of not spinning an even number is simply
100% - 40% = 60%
Expressing 60% as a decimal gives us 0.6
