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.
A graduated cylinder is filled with 20ml of water. Then, an 8g marble is dropped into the cylinder, causing the volume to change to 24ml. What is the density of the marble?
Answer:
The density of the marble is 2,000 kg/m³
Step-by-step explanation:
The given parameters for finding the density of the marble are;
The volume of water in the graduated cylinder, v₁ = 20 ml
The mass of the marble dropped into the graduated cylinder, m = 8 g
The new volume of the cylinder after the 8 g marble is dropped into the cylinder, v₂ = 24 ml
Therefore, the volume of the marble, v = v₂ - v₁
Substituting the known values gives;
The volume of the marble, v = 24 ml - 20 ml = 4 ml
Density, ρ = Mass, m/(Volume, v), the units of density is kg/m³
Therefore, the density of the marble, [tex]\rho _{marble}[/tex], is given as follows;
[tex]\rho _{marble}[/tex] = m/v = (8 g)/(4 ml) = 2 g/ml
1 g/ml = 1 kg/l = 1,000 kg/m³
∴ [tex]\rho _{marble}[/tex] = 2 kg/l = 2,000 kg/m³.
ABCD is a rhombus. Find m
Answer:
angle ABD=28 degrees
Step-by-step explanation:
Diagonals of a rhombus are perpendicular so all angles at point E are 90 degrees.
Diagonals of a rhombus also bisect the corner angles.
therefore:
angle CBD=ABD
angle CBD=90-62=28 degrees
so angle ABD=28 degrees
Jennifer bought a mountain bike priced at $315.00. She received a 19% discount because the dealer was overstocked. She had to pay an 8% sales tax on the amount she actually paid for the bike what was the total cost of the bike including tax
Answer:
$275.562
Step-by-step explanation:
Step 1
Find the discounted price
Jennifer bought a mountain bike priced at $315.00. She received a 19% discount because the dealer was overstocked.
Discount = $315 × 19%
= $59.85
Discounted price = $315 - $59.85
= $255.15
Step 2
Sale Tax
She had to pay an 8% sales tax on the amount she actually paid for the bike
Hence:
$255.15 × 8%
Sale Tax = $20.412
Step 3
The total cost of the bike including tax is calculated as:
$255.15 + $20.412
= $275.562
please answer ASAP. 10 points and will give brainiest
Answer:
525 yd should be your answer
Step-by-step explanation:
Is quadrilateral UVWX a parallelogram? Why or why not?
Answer:
C
Step-by-step explanation:
Slope of UV = 0 = Slope of XW
So UV is parallel to XW.
Slope of UX = [6-(-4)]/[-7-(-3)] = -5/2
Slope of VW = [6-(-4)]/(0-4) = -5/2
Slope of UX = Slope of VW i.e. UX is parallel to VW.
It is a parallelogram because opposite sides are parallel.
Answer:
Yes, because opposite sides are parallel.
Step-by-step explanation: I took the test
I need help with this question
Answer: yes, the transformation is a dilation.
Help please will award brainliest
Answer:
B)
Step-by-step explanation:
For the function [tex]y=-5x[/tex], all coordinates this line passes through should make this inequality true.
[tex]\begin{case}y=5(-7)=35\\y=-2(-5)=10\\y=2(-5)=-10\end{case}[/tex]
This corresponds with table B.
The scatter plot below shows the relationship between hours spent on video games and hours spent on homework last week for students in Ginny's class.
Which of the following is the best estimate of the average change in homework time that was associated with a 1-hour increase in time spent on video games?
Answer:
-4/3 hrs
Step-by-step explanation:
trust me I just got it right ;)
The hour change rate is [tex]-\frac{4}{3}[/tex]
What is scatter plot?'A scatter plot uses dots to represent values for two different numeric variables.'
According to the given problem,
Since the data shows mostly a linear trend, we can draw a line to estimate the rate of change.
The line approximately goes through (0,23) and (12,7).
Using the slope formula,
m = [tex]\frac{y_{2}- y_{1} }{x_{2}-x_{1} }[/tex]
Substituting the respective values,
m = [tex]\frac{7-23}{12-0}[/tex]
m = [tex]-\frac{4}{3}[/tex]
Hence, we can conclude that each additional hour spent on video games is associated with approximately a [tex]-\frac{4}{3}[/tex] hour change in time spent on homework on average.
Learn more about Scatter Plots here:
https://brainly.com/question/25280625
#SPJ2
help with #14 plz help
Answer:
H. 2.5
Step-by-step explanation:
we know that ∆ABC similar to ∆ DEF
so , DE= 2.5
:-))
I drive 55 miles per hour for 3 hours, stop for lunch for an hour, then drive 4 more hours at 62 miles per hour. What was my average speed for my 8 hour trip?
Answer:
15.5
Step-by-step explanation: I know because I calculated it praporly if you say I am wrong then most likely your wrong
Using ƒ(x) = 2x + 7 and g(x) = x − 3, find ƒ(g(-2)).
Answer:
We conclude that:
f(g(-2)) = -3
Step-by-step explanation:
Given
f(x) = 2x + 7g(x) = x-3To determine
f(g(-2)) = ?In order to determine f(g(-2)), first we need to determine g(-2)
so substituting x = -2 in g(x) = x-3
g(-2) = -2 - 3
= -5
Thus,
f(g(-2)) = f(-5)
now substitute x = -5 in the function f(x) = 2x+7
f(x) = 2x+7
f(-5) = 2(-5) + 7
f(-5) = -10 + 7
f(-5) = -3
so
f(g(-2)) = f(-5) = -3
Therefore, we conclude that:
f(g(-2)) = -3
Plsss help I don't know how to graph I will give brainiest!
Answer: (2, 5)
Step-by-step explanation:
y = 2x + 1 y = 4x − 3
Eliminate the equal sides of each equation and combine.
2x + 1 = 4x − 3
Solve 2x + 1 = 4x − 3 for x.
Move all terms containing x to the left side of the equation.
Subtract 4x from both sides of the equation.
2x + 1 − 4x = −3
Subtract 4x from 2x.
−2x + 1 = −3
Move all terms not containing x to the right side of the equation.
Subtract 1 from both sides of the equation.
−2x = −3 − 1
Subtract 1 from −3.
−2x = −4
Divide each term by −2 and simplify.
x = 2
Evaluate y when x = 2.
Substitute 2 for x. y = 4 (2) − 3
Simplify 4 (2) − 3.
Multiply 4 by 2.
y = 8 − 3
Subtract 3 from 8.
y = 5
The solution to the system is the complete set of ordered pairs that are valid solutions.
(2, 5)
The result can be shown in multiple forms.
Point Form:
(2, 5)
Equation Form:
x = 2, y = 5
~A ~ c ~ i ~ r ~ c ~ l ~ e ~ h ~ a ~ s ~ a ~ r ~ a ~ d ~ i ~ u ~ s ~ o ~ f ~ s ~ i ~ x ~ m ~ e ~ t ~ e ~ r ~ s.~
~W ~ h ~ a ~ t ~ i ~ s ~ t ~ h ~ e ~ c ~ i ~ r ~ c ~ u ~ m ~ f ~ e ~ r ~ e ~ n ~ c ~e ~ o ~ f ~ t ~ h ~ e ~ c ~ i ~ r ~ c ~ l ~ e ?~
~A ~ c i r c l e ~ h a s ~ a ~ r a d i u s ~ o f ~ s i x ~ m e t e r s.~
~W h a t ~ i s ~ t h e ~ c i r c u m f e r e n c e ~ o f ~ t h e ~ c i r c l e ?~
~A ~ c i r c l e ~ h a s ~ a ~ r a d i u s ~ o f ~ 6 ~ m e t e r s.~
~W h a t ~ i s ~ t h e ~ c i r c u m f e r e n c e ~ o f ~ t h e ~ c i r c l e ?~
~A ~ circle ~ has ~ a ~ radius ~ of ~ 6 ~ meters.~
~What ~ is ~ the ~ circumference ~ of ~ the ~ circle?~
~A circle has a radius of 6 meters.~
~What is the circumference of the circle?~
A circle has a radius of 6 meters.
What is the circumference of the circle?
Answer:
I already answered this question, the answer is A
12[tex]\pi[/tex]m
Answer:A
Step-by-step explanation:A
Need Help Please answer and Find the measure of the exterior angle of the triangle.
Answer:
20
Step-by-step explanation:
Answer:
y°=70
Step-by-step explanation:
the angles inside a triangle must add up to 180 degrees, and thus the unknown interior angle is 180°-40°-30°=110°
this interior angle and the exterior angle are supplementary to each other and thus 110°+y°=180°
so y°=70°
you could also have used the theorem that states that the interior angles sum not adjacent to the exterior angle would equal the exterior angle
can anyone help me with the answers?
solve for x: 100-6x=160-10x
Answer:
x= 15
Step-by-step explanation:
Question 5 (2 points)
Here is a diagram of a softball field:
Outfield
Infield
110 ft
250 ft
Use this diagram to answer the questions below.
Use 3.14 to represent and round your answer to the nearest whole number. Type your answers in the boxes below.
HINT: For this problem we are going to assume the infield is a regular circle. Solve as if it is a circle.
1. The fence around the field (the whole perimeter of the shape) is about
feet
2. The area of the outfield is about
ft
a. The Length of the fence around the field = perimeter of quarter circle is 892.7 ft.
b. The area of the outfield is 39,584 sq. ft..
What is the circle about?Note that:
Perimeter of circle = 2πrPerimeter of a quarter circle = 2r + 1/4(2πr).a. The length of the fence around the field = perimeter of the quarter circle fence
= 2r + 1/4(2πr).
r = 250 ft
Put in the value
The length of the fence around the field = 2(250) + 1/4(2 × π × 250)
= 892.7 ft.
b. Size of the outfield = area of the full field (quarter circle) - area of the infield (cicle)
= 1/4(πR²) - πr²
R = radius of the full field = 250 ft
r = radius of the infield = 110/2 = 55 ft
Put in the values
Size of the outfield = 1/4(π × 250²) - π × 55²
= 49,087 - 9,503
= 39,584 sq. ft.
Learn more about softball from
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Simplify the expression (2−3i) (5+i) by distributing. Express your answer in a+bi form, Step by Step.
Answer:
13-13i
Step-by-step explanation:
2(5+i)-3i(5+i)
10+2i-15i-3i²
10-13i+3
13-13i
1. An airplane flies a distance of 3000 miles in 6 hours. How tast is it going? Hint: Uses=d/t. Show our work.
2. A skydiver opens her parachute and is dropping toward the ground at a constant speed of 0.3 m/s. If she is currently 200 meters above the ground, how long will it be before she lands on the ground? Hint: Use t = d/s. Show your work.
3. A snail crawls over the ground at 1 meter per hour. How far will the slug move in 6 minutes. Hint: Use d = s x t after you convert 6 minutes into hours. Show your work.
4. A race car accelerates from 0 to 30 mi/he (44 ft / sec) in 4 seconds. What is it's acceleration in ft /sec²? Hint: Use a = v / t.
5. A fighter jet is flying along and the pilot wants to go faster. He pushes the throttle so the jet engine is producing full power. The jet accelerates at a rate of 20 m/s² for 10 seconds. How much does the jet increase it's velocity? Hint: Use v = a x t. Show your work.
6. If the jet in question 5 above was traveling at 1000 m/s before it accelerated, how fast was it going after it accelerated for 10 seconds? Show your work.
7. A boy drops a ball. The ball accelerates at 9.8 m/s². How long does it take for the ball to reach a velocu if 1 m/s? Hint: Use t = v / a. Show your work including units.
Answer:
Step-by-step explanation:
what the hell is this
Answer:
it should be that
Step-by-step explanation:
EQUATION GIVES YOU IF YOU KNOW
v=d/t Speed Distance time
d = v x t Distance Speed and time
t = d/v Time Distance and speed
Martin is laying out a design for the tiles on a section of his bathroom floor. He will use 1 black tile for every 4 white tiles to have total of 20 tiles in the design. How many of each type of tile will Martin use?
Answer:
[tex]Black = 4[/tex]
[tex]White = 16[/tex]
Step-by-step explanation:
Given
[tex]Black : White = 1 : 4[/tex]
[tex]Total = 20[/tex]
Required
Determine the number of each type used
Convert each ratio to fraction.
For Black, we have:
[tex]Black = \frac{1}{1 + 4} = \frac{1}{5}[/tex]
For White, we have:
[tex]White = \frac{4}{1 + 4} = \frac{4}{5}[/tex]
The number of tiles for each is then calculated as:
[tex]Black = \frac{1}{5} * Total[/tex]
[tex]Black = \frac{1}{5} * 20[/tex]
[tex]Black = \frac{20}{5}[/tex]
[tex]Black = 4[/tex]
[tex]White = \frac{4}{5} * Total[/tex]
[tex]White = \frac{4}{5} * 20[/tex]
[tex]White = \frac{4 * 20}{5}[/tex]
[tex]White = \frac{80}{5}[/tex]
[tex]White = 16[/tex]
Solve the equation below for y.
12(y−8) = 14y−2
help me pleaseee... :)
4) 7h
5) 9k
6) 5b + 8
7) 1/8x - 5/6
8) -7c - 2d
9) -17y - 16z
just add like terms. i hope this helps :)
Which function's graph is shown below?
Answer:
B: y=sinx
Step-by-step explanation:
the parent sine function is a repeating function that goes from 0 to 1, with sin(0)=0 sin(pi/2)=1 sin(pi)=0 sin(3pi/2)=-1 and sin(2pi)=0, π≈3.1415926 and we see on this graph that the graph matches at all these major points.
the cosine parent function is essentially the same thing but shifted to the left by π/2. It is essential to familiarize yourself with the unit circle and the key angles and their respective sin and cosine values.
The answer is y = sin x!!
7w + 3 + 2w + 9 simplified
The answer is 9w + 12
hope this helps!
Answer:
9w + 12
Step-by-step explanation:
First, add the 7w and the 2w
7w + 2w = 9w
Second, add 3 and 9
3 + 9 = 12
Last, add the two together
9w + 12 =
Hope this helps!
A business has two delivery trucks. The weight of the first truck is 7.5 tons. The weight of the second truck is 8.75 tons. What is the difference in the weight of the trucks in pounds?
Answer:
2500 pounds
Step-by-step explanation:
There are 2000 pounds in one ton.
Find the weight of the first truck in pounds:
7.5(2000)
= 15000
Find the weight of the second truck in pounds:
8.75(2000)
= 17500
Now, find the difference in the weight:
17500 - 15000
= 2500 pounds
So, the difference in the weight of the trucks in pounds is 2500 pounds
Answer:
the person above me or below me is right i did the math and its correct gives me that answer
Step-by-step explanation:
50 points please lmk how to do this
Answer:
ZD= OY= 42
DO= ZY= 25
YV= VD= 60/2= 30
ZV= OV= 18
Step-by-step explanation:
Parallelogram is same as rectangle so opposite side will be same, just like rectangle. and for diagnoal, V bisect both diagnoal so, ZV=VO and YV=VD
Hope this helps!!
The midtown middle school cheerleaders earned $175 at a car wash. If this amount is 25% of the cost of a new set of uniforms, what is the total cost for a set of uniforms?
Answer:
700
Step-by-step explanation:
multiple 175 × 4 to get to 100%
30 POINTS ! TRUE OR FALSE?
False, they're perpendicular
Answer:
False
Step-by-step explanation:
A stationer purchased 5 dozen of pens at
Rs 25 per price and sold 24 per piea
() Find his loss
() Find
his loss percent.
Answer:
CP = 25
SP = 24
Loss = CP - SP
=> 1
Loss% => Loss × 100/25
=> 1×4
=> 4% Loss
Find the length of Segment JM.
Hello!
[tex]\large\boxed{JM = 8 \text{ units } }[/tex]
As solved in the previous question:
2x - 4 = 4x - 16
x = 6
Plug in this value of x into the expression for JM:
4(6) - 16 =
24 - 16 = 8 units.