Answer:
Solving the inequality: [tex]x - 2 > 2x + 12[/tex] we found the value of x: [tex]\mathbf{x<-14}[/tex]
Option D is correct option.
Step-by-step explanation:
We need to solve the inequality: [tex]x - 2 > 2x + 12[/tex] and find value of x
Solving the inequality
[tex]x - 2 > 2x + 12[/tex]
First of all, we will add 2 on both sides
[tex]x - 2+2 > 2x +12 +2\\x>2x+14[/tex]
Now, add -2x on both sides of inequality
[tex]x-2x>2x+14-2x\\-x>14[/tex]
Now, multiply both sides by -1, when multiplying by negative number, the inequality is reversed i.e. > will become <
[tex]-1*-x<14*-1\\x<-14[/tex]
So, solving the inequality: [tex]x - 2 > 2x + 12[/tex] we found the value of x: [tex]\mathbf{x<-14}[/tex]
Option D is correct option.
Solve the following system of equations:
y=2x + 1
y = -x+4
x= ?
y=?
Answer:
x= 1, y=3
Step-by-step explanation:
y= 2x +1
y= -x +4
Those two equation are in a system that means they need to be true in the same time. Just like I would say look for a car that is red and is a truck in this case we look for x and y is true that y = 2x+1 and is true that y= =x+4.
so y= 2x+1 but y is -x+4 so substitute
-x+4 = 2x +1, add x on both sides
4= 2x+x +1, subtract 1 from both sides
4-1 = 2x +x, combine like terms
3 = 3x , divide both sides by 3
x=1
if x=1 we substitute in y= -1 +4 = 3
a student buys (x) fashion magazines and (y) sports magazines. Each fashion magazine costs $2.00 and each sports magazine costs $1.60. If the student buys a total of 8 magazines for $14.00, which equation best represents the situtation
Answer:
Step-by-step explanation:
the student buys a total of 8 magazines for $14.00
x+y = 8
x = 8-y
2x+1.6y = 14
2(8-y)+1.6y = 14
16-2y+1.6y = 14
16-0.4y = 14
0.4y =16-14 = 2
y = 2/0.4 = 5
x = 8-y = 3
The correct equation best represents the situation is,
⇒ x + y = 8
And, 2x + 1.60y = 14.00
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A student buys (x) fashion magazines and (y) sports magazines.
And, Each fashion magazine costs $2.00 and each sports magazine costs $1.60.
Here, The student buys a total of 8 magazines for $14.00.
Hence, We can formulate;
⇒ x + y = 8
And, 2x + 1.60y = 14.00
Thus, The correct equation best represents the situation is,
⇒ x + y = 8
And, 2x + 1.60y = 14.00
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awnser photo quick please #8
Select the Number line that shows two opposite numbers Have a sum of 0.
Answer:
B.
Step-by-step explanation:
Using the lines they start and end on,
-1 plus 1 equals 0
Therefore, B. will be your answer!
Sorry this is very blunt, lol
Answer:
therefore B us ur answer
A museum recorded that it had 988 visitors in 4 hours. What is the unit rate in visitors per hour?
A.). 222
B.) 247
C.). 249
D.). 262
16/19 as a decimal rounded to the nearest tenth
Answer:
0.8
Step-by-step explanation:
that's the decimal.
Answer:
0.8
Step-by-step explanation:
The base of a parallelogram is 6 ft more than the height. If the area of the parallelogram is 55 ft^2, what are the measures of the base and the height?
Answer:
Height = 5 ft
Base = 11 ft
Step-by-step explanation:
The area of a parallelogram is
Base × Height
From the question:
The base of a parallelogram is 6 ft more than the height.
Base = 6ft + h
If the area of the parallelogram is 55 ft^2,
what are the measures of the base and the height?
This is calculated as:
55 ft² =( 6 + h ) × h
55 = 6h + h²
h² + 6h - 55 = 0
h² +5h - 11h - 55 = 0
h(h + 5) - 11(h + 5) = 0
(h + 5)(h - 11) = 0
h - 11 = 0
height = 5ft
Base = 6 + h = 6 + 5
Base = 11ft
what is the area of xyz
 this one is really hard
Answer:
142
Step-by-step explanation:
opposite angle theorem
Answer:
D. 142
Step-by-step explanation:
They are vertical angles which are always equal
please help me !!!!
Flying against the wind , an airplane travels 3660 kilometers in 6 hours. flying with the wind , the same plane travels 3800 kilometers in 4 hours. what is the rate of the plane in still air and what is the rate of the wind?
Answer:
...
against the wind, an airplane travels 3640 km in 7 hours.
with the wind, the same plane travels 6000 km in 6hrs.
...
let speed of plane in still air be x mph
speed of wind be y mph.
..
t=d/r
..
against wind speed = x-y mph
with wond speed = x=y mph
...
3640/(x-y)=7
3640 = 7x-7y
/7
520=x-y.....................1
...
6000/x+y = 6
6000 = 6x+6y
/6
1000=x+y.....................2
...
Add (1) & (2)
2x=1520
/2
x=760 mph speed of plane in still air
...
plug value of x in 2
1000=760+y
100-760=y
240 = y
240 mph speed of wind
Jacob is standing on the observation deck of the Sears Tower in Chicago. The height of the
observation deck is 1450 feet. He sees his car being towed, which is parked on the street 5,128
feet from the base of the tower. Find the angle of depression. Round to the nearest tenth.
9514 1404 393
Answer:
15.8°
Step-by-step explanation:
The relationship between angle trig functions and sides of a right triangle is summarized in the mnemonic SOH CAH TOA. Here, we're given the side opposite the angle (the height of the deck), and the side adjacent to the angle (the horizontal distance). So, the applicable relation is ...
Tan = Opposite/Adjacent
tan(angle) = 1450/5128
Then the angle is found using the inverse tangent function:
angle = arctan(1450/5128) ≈ 15.8°
The angle of depression is about 15.8°.
Which percentage is the same as 3.21
Answer:
321%
Step-by-step explanation:
hope I helped Kkkkkkkk
La Vasha noticed that she caught six pigeons for every turtle when she played Pocket Monster
Walk. If LaVasha caught 102 pigeons, how many turtles did she catch?
Answer:
She has 17 turtles
Step-by-step explanation:
You have to divide 102 by 6 which equals 17.
The value of computer decreases with its age until it is worth nothing a computer that was purchases new for 0 years is worth 2220 1540 after 6 years problem whats the value after 8 years and what is the linear function V(x)
Answer:
[tex]V(x) = -\frac{340}{3}x +2220[/tex]
[tex]V(8) = 1313.3[/tex]
Step-by-step explanation:
Given
Let x represent years and V represents the value.
So, we have:
[tex](x_1,v_1) = (0,2220)[/tex]
[tex](x_2,v_2) = (6,1540)[/tex]
Solving (a): The linear function
First, we calculate the slope (m)
[tex]m = \frac{v_2 - v_1}{x_2 - x_1}[/tex]
This gives:
[tex]m = \frac{1540-2220}{6-0}[/tex]
[tex]m = \frac{-680}{6}[/tex]
[tex]m = -\frac{340}{3}[/tex]
The linear function is calculated using:
[tex]v - v_2 = m(x - x_2)[/tex]
Where:
[tex](x_2,v_2) = (6,1540)[/tex]
[tex]m = -\frac{340}{3}[/tex]
So, we have:
[tex]v - 1540 = -\frac{340}{3}(x - 6)[/tex]
Open bracket
[tex]v - 1540 = -\frac{340}{3}x +\frac{340}{3}* 6[/tex]
[tex]v - 1540 = -\frac{340}{3}x +680[/tex]
Make v the subject
[tex]v = -\frac{340}{3}x +680+1540[/tex]
[tex]v = -\frac{340}{3}x +2220[/tex]
So, the function is:
[tex]V(x) = -\frac{340}{3}x +2220[/tex]
Solving (b): When x = 8
Substitute 8 for x in [tex]V(x) = -\frac{340}{3}x +2220[/tex]
[tex]V(8) = -\frac{340}{3}*8 +2220[/tex]
[tex]V(8) = -\frac{340*8}{3} +2220[/tex]
[tex]V(8) = -\frac{2720}{3} +2220[/tex]
Take LCM
[tex]V(8) = \frac{-2720+2220*3}{3}[/tex]
[tex]V(8) = \frac{-2720+6660}{3}[/tex]
[tex]V(8) = \frac{3940}{3}[/tex]
[tex]V(8) = 1313.3[/tex]
Hence, its value after 8 years is 1313.3
i don’t understand help
Answer:
rational as it can be expressed as the quotient of two integers
Answer:
that is a rational number
Step-by-step explanation:
A rational number is a number that can be express as the ratio of two integers. ... Likewise, any integer can be expressed as the ratio of two integers, thus all integers are rational.
Example: 17 and −34 are rational numbers. (Note that there is more than one way to write the same rational number as a ratio of integers. For example, 17 and 214 represent the same rational number.) All integers are rational numbers.
An irrational number is real number that cannot be expressed as a ratio of two integers. ... The number "pi" or π (3.14159...) is a common example of an irrational number since it has an infinite number of digits after the decimal point. Many square roots are also irrational since they cannot be reduced to fractio
Please help it’s urgent !!
Answer:
2 is the correct answer you know it also
Please help a bruddah out its 8 pm and I'm grinding on schoolwork.
What is (a^2-b^2) factored out?
Answer:
(a+b)(a-b)
Step-by-step explanation:
because (a+b)(a-b):
If you use FOIL it will work backwards
Evaluate the expression if p = 1, r= -7, and s = -2.
-3p-2r
6+4s
PLEASE HURRY!!! THANK YOU
Answer:
-5 1/2
The first one is right.
Step-by-step explanation:
k12 right ?
The solution of the given expression if p = 1, r= -7, and s = -2 will be; -5 and 1/2
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
WE have been given an expression as
-3p-2r / 6+4s
We have to substitute the value p = 1, r= -7, and s = -2 to find the solution.
Plug the values;
-3p-2r / 6+4s
-3 (1) -2 (-7) / 6+4(-2)
-3 + 14 / 6 - 8
11 / -2
Hence, the solution of the given expression if p = 1, r= -7, and s = -2 will be; -5 and 1/2
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the main sailboat has the dimensions shown in figure at the right . what is the height of the main sail? Then round to the nearest tenth as needed .)
Answer: h = 14.5 ft
Step-by-step explanation: Since it is given angles and side and it wants a side, let's use Law of Sines, which is formulated as
[tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex]
i.e., the ratio of a side and the sin of its opposite angle is constant.
So, for this triangle, height is
[tex]\frac{sin46}{h} =\frac{sin44}{14}[/tex]
[tex]h=\frac{14sin46}{sin44}[/tex]
[tex]h=\frac{10.07}{0.69}[/tex]
h = 14.51
Height of the main sail rounded to the nearest tenth is 14.5 ft.
what is the solution to the equation below?
Re-write the quadratic function below in Standard form
Y= −3(x+1)(x−3)
Answer:
Y=−3x2+6x+9
Step-by-step explanation:
What is the radius of a sphere with a volume of 3026 cm ^3, to the nearest tenth of a centimeter?
Answer:
[tex]r=9.0\:\mathrm{cm}[/tex]
Step-by-step explanation:
The volume of a sphere is given as [tex]\frac{4}{3}r^3\pi[/tex]. Therefore we have the following equation:
[tex]\frac{4}{3}r^3\pi=3026,\\r^3=\frac{3}{4}\cdot\frac{3026}{\pi},\\r^3=722.40428,\\r=\sqrt[3]{722.40428},\\r\approx \fbox{$9.0\:\mathrm{cm}$}[/tex].
Rounding this to the nearest tenth of a centimeter, the radius of the sphere is approximately 14.0 cm.
What is volume?Volume refers to the amount of space occupied by an object or substance. In mathematics, it is usually measured in cubic units (e.g. cubic meters, cubic centimeters).
The volume of an object can be calculated using its dimensions and specific formulas that depend on the shape of the object.
For example, the volume of a cube is calculated by multiplying its length, width, and height, while the volume of a sphere is calculated using the formula [tex](4/3)\pi r^3[/tex], where r is the radius of the sphere.
The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius of the sphere and π (pi) is a mathematical constant approximately equal to 3.14159.
We can rearrange this formula to solve for r:
r = [tex](3V/4\pi)^{(1/3)[/tex]
Substituting the given volume V = 3026 [tex]cm^3[/tex], we get:
r = [tex](3(3026)/(4\pi))^{(1/3)[/tex] ≈ 14.0 cm
Thus, the radius of the sphere is approximately 14.0 cm, rounded to the nearest tenth of a centimetre.
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*. John pulled a black sock from his drawer. He has 5 black socks, 4 navy socks, and 6 brown socks left in the drawer. He picks another sock at random. What is the probability it matches the black one? A.1/6 C. 1/3 B. 1/5 D. 1/2
Answer:
C
Step-by-step explanation:
I need help, I don't quite understand
Answer:
1
Step-by-step explanation:
so we have:
f+2>5 2 goes the other side, so
f>5-2
f>3
f+4<9 4 goes to the other side, so
f<9-4
f<5
we have two inequality
f>3
f<5
f belongs (3,5), we have only one value for this, it is 4
Matt read 65 pages in 50 minutes. He reads at a constant rate.
How many pages can Matt read per minute?
Answer:
78
Step-by-step explanation:
Can you give me brainliest please
Answer:
Give somuchcringe321 brainliest
Step-by-step explanation:
How many times can 4 go into 33
Answer:
8 but you would have a remainder of 1
Step-by-step explanation:
4x8 is 32 so 8 r1
need answer fast!
Find the product of ( 2x^2 − 4x + 3 ) ( 3x + 6 ) using the box method shown below. What will the monomial be in the box marked with a B?
Select one:
a. - 12x 2
b. - x 2
c. - x
d. - 12x
Answer:
[tex]-12x^2[/tex]
Step-by-step explanation:
Think of the box method as completing a chart or a multiplication table.
We can see that box B is in the second column of the first row. The second column is labeled by -4x. The first row is labeled by 3x. So, in order to fill out box B, you have to multiply -4x and 3x together.
To do so, multiply the terms' coefficients (the numbers in front of the variable). -4 times 3 makes -12. Then, multiply the variables - just keep the variable and add their exponents. x and x both have exponents of one, which makes [tex]x^1^+^1[/tex], resulting in [tex]x^2[/tex]. Put them together and the answer would be [tex]-12x^2[/tex].
pls help and SHOW WORKINGS
It due ASAP
Answer:
Any real number strictly larger than 9 and strictly less than 21.
Step-by-step explanation:
By triangle inequality, the sum of the lengths of any two sides are greater than the length of the third side.
We therefore could set up three inequalities.
x+6>15, x+15>6, 15+6>x
Solving these, we get x>9, x>-9, x<21 i.e. 9 < x < 21.
Donald bought a box of golf balls for $9.31. There were 18 golf balls in the box.
About how much did each golf ball cost? Rename the decimal dividend as a whole number that is compatible with the divisor to estimate the quotient.
Step-by-step explanation:
Cost of each golf ball = $9.31 / 18
≈ $9 / 18 = $0.5.
Answer: 0.5172222222222222
Step-by-step explanation: divide 18 by 9.31
