Answers
Answer:
I think x is 34.75.
Step-by-step explanation:
Same side interior angles are supplementary to each other. Angle C and angle E are congruent to each other.
(4x-20)+61=180
4x+41=180
subtract 41 from both sides
4x=139
x=34.75
Related Questions
A clock gains time at a steady rate. It is set to the correct time at
10: 00 AM. When the clock shows 2 : 00 PM, the correct time is
1: 36 PM. How many minutes fast will the clock be the next time the
correct time is 5 : 30 PM?
Answers
Answer:
The clock will be 50 minutes fast
Step-by-step explanation:
Proportions
It's known a clock gains time at a steady state, or constant rate.
At 10:00 AM the clock is set at the correct time and at 1:36 PM the clock shows 2:00 PM. This means in that period of time, it has gained 24 minutes.
From 10:00 AM to 1:36 PM there are 3 hours and 36 minutes, or equivalently, 3*60+36 = 216 minutes
Our clock gains time at a rate of 24 minutes each 216 minutes. This gives the ratio 24:216 = 1:9.
When the new correct time is 5:30 PM, there will have passed 7 hours and 30 minutes since 10:00 AM, or equivalently, 7*60+30 = 450 minutes.
Since the clock gains time at a ratio 1:9, the time gained is 450/9=50 minutes.
The clock will show 50 minutes more than the correct time of 5:30 PM, that is, 6:20 PM.
The clock will be 50 minutes fast
y=-2y-4 and y=1/2x-5
solve by systems of equations
pls help I need help ALL I NEED IS THE WORK PLSSSS HELP
Answers
Answer:
1. Y = -4/3
2. 2x = 2y + 10
Step-by-step explanation:
1. y =− 2y − 4
Step 1: Add 2y to both sides.
y + 2y = −2y − 4 + 2y
3y = −4
Step 2: Divide both sides by 3.
3y/3 = -4/3
y = -4/3
2. solve for x
y=1/2x-5
Step 1: Flip the equation.
1/2x−5=y
Step 2: Add 5 to both sides.
1/2x−5+5=y+5
1/2x=y+5
Step 3: Divide both sides by 1/2.
1/2x/1/2=y+5/1/2
x=2y+10
not sure if this will help but here you go :)
if cos theta = 3/5, then tan theta =
Answers
Step-by-step explanation:
cos theta=3/5
theta=53.13°
tan theta =1.33
5. Solve for q if 5q - 21 /14= 1.
Answers
q = 0.5
5q - 21/14 = 1
First add 21/14 to both sides to get:
5q = 1 21/14
Simplify the right side:
21/14 = 3/2 = 1 1/2
Now you have 5q = 2 1/2
Divide both sides by 5:
q = 1/2
Write a ratio, in simplest form, and a percent for the shaded area. (3x4)
3/10, 27%
1/2, 50%
1/3, 33.33%
3/10, 30%
Answers
If you score a 99, what percentage of the population scored above you?
Answers
Answer:
1%
Step-by-step explanation:
Answer:
1% pf the population scored above you
Step-by-step explanation:
make brainliest
11. There are 14 boys and 16 girls in Mr. Allen's
class. What is the ratio of girls to the total
number of students in the class? Write the
ratio in 3 ways.
Answers
Answer:
16 : 30, 16 to 30, 16/30
Step-by-step explanation:
Answer:
The ratio of boys to girls in the simplest form is 7:8
Step-by-step explanation:
There are 14 boys and 16 girls in a class. The ratio of boys to girls in the class is 14:16 or 7:8.
The tortoise and the hare are having a race.In this tale,the tortoise moves 50 ft per hr while the hare moves at 259ft per hour. The tortoise takes 8hrs longer than the hare to finish. a. Let t represent the unknown time in hours that it took the hare to complete the race,
Write an expression (not an equation!) representing the time it took the tortoise to finish
the race.
b. Write two equations that represent the race, one for the hare and one for the tortoise.
c. What is the distance of the race?
Answers
Answer:
Step-by-step explanation:
1). Let the distance of the race = x feet
Speed of hare = 250 feet per hour
If it takes the time to complete the race = t hours
Since, Speed = [tex]\frac{\text{Distance}}{\text{Time}}[/tex]
250 = [tex]\frac{x}{t}[/tex]
t = [tex]\frac{x}{250}[/tex]
2). Speed of tortoise = 50 feet per hour
Time taken by the tortoise [tex]t_1=\frac{x}{50}[/tex]
So the equations will be,
t = [tex]\frac{x}{250}[/tex] -------(1)
[tex]t_1=\frac{x}{50}[/tex] -------(2)
3). Since, tortoise took 8 hours longer than hare,
[tex]t_1[/tex] - t = 8
[tex]\frac{x}{50}- \frac{x}{250}=8[/tex]
[tex]\frac{(5-1)x}{250}=8[/tex]
[tex]\frac{4x}{250}=8[/tex]
x = [tex]\frac{250\times 8}{4}[/tex]
x = 500 feet
A rectangular garden has a width of 10 feet and a length of 14 feet. A cement walkway is added around the outside of the garden. The area of the garden and the walkway together are 320 square feet. What is the width of the walkway
Answers
Answer:
The width of the walkway is of 12.86 feet.
Step-by-step explanation:
Area of a rectangle:
The area of a rectangle of length l and width w is given by:
A = lw
A rectangular garden has a width of 10 feet and a length of 14 feet.
So the area of the rectangular garden is of 10*14 = 140 square feet.
The area of the garden and the walkway together are 320 square feet.
So the area of the walkaway is of 320 - 140 = 180 square feet.
What is the width of the walkway
It has the same length of the garden, of 14. So
[tex]14w = 180[/tex]
[tex]w = \frac{180}{14}[/tex]
[tex]w = 12.86[/tex]
The width of the walkway is of 12.86 feet.
PLEASE HELP WILL GIVE BRAINLIST
Answers
= pi times (10)^2
= 314m^2
thus the ans is D
y is directly proportional to x.
(y = 44
when
x = 4.)
Find a mathematical model that represents the statement. (Determine the constant of proportionality.)
Answers
Answer:
11
Step-by-step explanation:
Trust me
Answer:
Step-by-step explanation:
directly proportional means it is in the form
y=kx, given y=44 and x=4
44=4k
k=11
Solve for the missing side of the triangle
Answers
sin53=x/15
0.798×15=x
x=11.98is your answer
6 is 30% of what number
Answers
Answer:
1.8
Step-by-step explanation:
Answer:
6 is 30 percent of 20 STEP 1 6 = 30% × Y
STEP 2 6 =
30
100
× Y
Multiplying both sides by 100 and dividing both sides of the equation by 30 we will arrive at:
STEP 3 Y = 6 ×
100
30
STEP 4 Y = 6 × 100 ÷ 30
STEP 5 Y = 20
Finally, we have found the value of Y which is 20 and that is our answer.
You can easily calculate a similar type of calculation by using any regular calculator, simply enter 6 × 100 ÷ 30 and you will get your answer which is 20
Step-by-step explanation:
Suppose that f (x) = 1.5x2 for -1 < x < 1 and f (x) = 0 otherwise. Determine the following probabilities.
a. P(0 < X)
b. P(0.5 < X)
c. P(-0.5 = X = 0.5)
d. P(X<-2)
e. P(X < 0 or X>-0.5)
f. Determine x such that P(x < X) = 0.05.
Answers
Answer:
a) P(0 < X) = 0.5
b) P(0.5 < X) = 0.4375
c) P(-0.5 = X = 0.5) = 0.125
d) P(X< -2) = 0
e) P(X < 0 or X>-0.5) = 1
f) value of x is -0.9654
Step-by-step explanation:
Given that;
f(x) = 1.5x²
Now. the probabilities would be the integral of the given function from (-1 to 1)
a) P(0 < X)
P(X > 0)
⇒ Integral from 0 to 1 of f(x)
= (1/2)x³
= 1/2 - 0
= 0.5
Therefore; P(0 < X) = 0.5
b) P(0.5 < X)
P(X > 0.5)
this will also be done in the same way except that, the limits changes to { 0.5 to 1]
= (1)³/2 - (0.5)³ /2
= 0.4375
Therefore; P(0.5 < X) = 0.4375
c) P(-0.5 = X = 0.5)
The limits become [-0.5 , 0.5]
= (0.5)³/2 - (-0.5)³/2
= 0.125
Therefore; P(-0.5 = X = 0.5) = 0.125
d) P(X<-2)
since value of f(x) = 0 in that region
Therefore P(X< -2) = 0
e) P(X < 0 or X>-0.5)
= P(X < 0) + P(X > -0.5) - P( -0.5 < X < 0 )
= 0.5 + 0.5625 - 0.0625
= 1
Therefore; P(X < 0 or X>-0.5) = 1
f) Determine x such that P(x < X) = 0.05.
Let the value be 'a'
Then, integral from -1 to a will = 0.05
a³ - (-1)³ = 0.05 × 2
a³ + 1 = 0.10
a³ = 0.10 - 1
a³ = -0.9
a = ∛-0.9
a = -0.9654
Therefore, value of x is -0.9654
a) P(0 < X) = 0.5
b) P(0.5 < X) = 0.4375
c) P(-0.5 = X = 0.5) = 0.125
d) P(X< -2) = 0
e) P(X < 0 or X>-0.5) = 1
f) value of x is -0.9654
Determine the following probabilities:a) P(0 < X)
P(X > 0)
⇒ Integral from 0 to 1 of f(x)
[tex]= (1\div 2)x^3\\\\= 1\div2 - 0[/tex]
= 0.5
So; P(0 < X) = 0.5
b) P(0.5 < X)
P(X > 0.5)
Now
[tex]= (1)^3\div 2 - (0.5)^3 \div2[/tex]
= 0.4375
Therefore; P(0.5 < X) = 0.4375
c) P(-0.5 = X = 0.5)
The limits become [-0.5 , 0.5]
[tex]= (0.5)^3\div 2 - (-0.5)^3\div 2[/tex]
= 0.125
Therefore; P(-0.5 = X = 0.5) = 0.125
d) P(X<-2)
since value of f(x) = 0 in that region
Therefore P(X< -2) = 0
e) P(X < 0 or X>-0.5)
= P(X < 0) + P(X > -0.5) - P( -0.5 < X < 0 )
= 0.5 + 0.5625 - 0.0625
= 1
Therefore; P(X < 0 or X>-0.5) = 1
f) Determine x such that P(x < X) = 0.05.
Let us assume the value be 'a'
So, integral from -1 to a will = 0.05
[tex]a^3 - (-1)^3 = 0.05 \times 2\\\\a^3 + 1 = 0.10\\\\a^3 = 0.10 - 1\\\\a^3 = -0.9\\\\a = \sqrt[3]{-0.9}[/tex]
a = -0.9654
Therefore, the value of x is -0.9654
Learn more about the probabilities here: https://brainly.com/question/24710931
Find x. Round to the nearest tenth.
Answers
By knowing all sides of triangle and applying the formula of the law of the cosines we conclude that the missing angle X is approximately 117.9°.
How to find the missing angle
In this question we have a triangle with three known side lengths but all missing angles, we can determine the missing angle by using the law of cosines. If we know that x = 90 ft, y = 55 ft and and z = 50 ft, then the missing angle X is:
90² = 55² + 50² - 2 · 55 · 50 · cos X (1)
X ≈ 117.916°
To learn more on law of the cosines: https://brainly.com/question/17289163
#SPJ1
how do you solve for x? 3 + 2x = 4y
Answers
Answer:
x= 2y - 3/2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x=2y - 3/2
Step-by-step explanation:
If the turning point is lower than the nearby point it's called a
Answers
Answer:
Step-by-step explanation:
Local minimum. It would be the minimum value of the function not including the end points. If you are including the end points, its an absolute minimum
Pls help I’ll brainlest ASAP
Answers
Answer:
He is 15 years old.
Step-by-step explanation:
I hope this helps :)
Answer:
Artaud is 15 years old
Step-by-step explanation:
Imagine Artaud is x yearrs old.
Now, turning the words in the problem into math equations, we get:
-x + 42 = 27.
Solving for x, we get:
-x = -15
x = 15.
So, Artaud is 15 years old.
Need help super fast pls help
Answers
Answer:
My answer is 8
Step-by-step explanation:
I calculate the area of all the shapes and added them together
the square comes first = the formlula = a to the power of 2 or just L x W = 2 x 2 = 4
The traingles - the formula = the height x base/2 2 x 2 /2 = 2 ( but there are two traingles so) 2 x 2 = 4
add the two shapes areas together = 4+4 = 8
Please help and when you get you answer it should be either ending in
cents, t-shirts, partners, Dollars
Answers
Answer:
1/6x = 45x = $270Step-by-step explanation:
There are 6 friends total and for them to make $45 each, you would need to multiply 6 to 45. The only way you could do this is if you have a fraction supporting the variable.
1/6x = 45
~Multiply 6 to both sides
x = 270
Best of Luck!
Answer:
[tex]\huge\boxed{\$ 270}[/tex]
Step-by-step explanation:
We can break this problem down to understand it.
Chad and his friend make an unknown amount of money while selling t-shirts. We'll assign this to a variable, [tex]x[/tex].
After splitting it amongst him and his 5 friends, he wants everyone to have $45.
Therefore, we can multiply the profit per person by the number of people to find how much money has to be made in total.
Chad + 5 people = 6 people
We can write an equation for this problem.
[tex]\displaystyle \frac{1}{6}x=45[/tex]
To solve this, we multiply both sides by 6 to cancel out the [tex]\frac{1}{6}[/tex] (as [tex]\frac{1}{6} \cdot 6 = 1[/tex]).
[tex]45 \cdot 6 = 270[/tex]
Hope this helped!
A line passes through the point (10,-8) and has a slope of -1/2. Write an equation in slope-intercept form for this line
Answers
y - 9 = -8x - 32
y = -8x - 23
If student D can solve 60% of multiple choice questions and Student B can solve 51% of the multiple choice questions and Student C can solve 57%. The students are unaware of each other.
a) At least one can be solved
b) Probability at most one of them can be solved
c) Probability that neither of them can be solved
d) Exactly two them can be solved
Answers
Mid-Mod 3 Review
Name
1 Lisa used 5 orange juice containers, From the fust container, she poured out gallon of
orange juice. She then poured out 'h gallon from each of the four remaining containers,
a. How much orange juice did Lisa pour out in all? Show and label all your work.
Answers
Suppose that at Northside High, the number of hours per week that seniors spend on homework is approximately Normally distributed with a mean of 18.6 and a standard deviation of 6. We take a random sample of 36 seniors. What is the mean and standard deviation of the sampling distribution for the 36 students?
Answers
Answer:
The mean and standard deviation of the sampling distribution for the 36 students will be:
Mean = 18.6
Standard deviation = 6
Step-by-step explanation:
The mean and standard deviation of the sampling distribution is equal to the population mean and standard deviation respectively. The only difference is that the population mean and standard deviation are parameters or fixed values calculated from every individual in the population, while the sample mean and standard deviation are statistics. Statistics are calculated from only some of the individuals in a population. They are meant to represent or approximate the population parameters.
PLEASE HELP GEOMETRY
Answers
Answer:
2x=8
x=4
Step-by-step explanation:
Which expression is the simplest form of 5(x-3)-3(2x+4)/9 ?
A. -x-3/9
B. -x-27/9 C.11x-27/9
D.-x-3
Answers
Explanation :
5(x - 3) -3(2x + 4) / 9
5x - 15 - 6x - 12 / 9
-1x - 27 / 9
-1x - 3 which is also -x - 3
Help with geometry please
Answers
9514 1404 393
Answer:
27/36
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that the tangent relation is ...
Tan = Opposite/Adjacent
tan C = AB/CB
tan C = 27/36
A. Identify which of the following points: (2,-5),(4,1),(3, 3),(6,3) are solutions of the linear equation: 2x - y = Graph each point that is a solution of the linear equation from Part A.
Answers
Answer: It will be (2,-5) and (6,3) because they are one the slope line
Step-by-step explanation:
Hope is Helped
At a factory that produces pistons for cars, Machine 1 produced 174 satisfactory pistons and 116 unsatisfactory pistons today. Machine 2 produced 180 satisfactory pistons and 20 unsatisfactory pistons today. Suppose that one piston from Machine 1 and one piston from Machine 2 are chosen at random from today's batch. What is the probability that the piston chosen from Machine 1 is satisfactory and the piston chosen from Machine 2 is unsatisfactory
Answers
Answer:
[tex]0.7[/tex] is the probability that the piston chosen from Machine 1 is satisfactory and the piston chosen from Machine 2 is unsatisfactory
Step-by-step explanation:
The two events are independent of each other.
Hence the probability of choosing satisfactory piston from Machine 1 and unsatisfactory piston from Machine 2 is equal probability of choosing satisfactory piston from Machine 1 + probability of choosing unsatisfactory piston from Machine 2
Substituting the given values we get
Probability of choosing satisfactory piston from Machine 1 and unsatisfactory piston from Machine 2 =[tex]\frac{174}{174 +116} + \frac{20}{180 +20}[/tex]
=[tex]\frac{174}{174 +116} + \frac{20}{180 +20}[/tex]
=[tex]= \frac{174}{290} + \frac{20}{200}\\= 0.6 + 0.1\\= 0.7[/tex]
Which of these polygons is not a regular polygon?
B
С
D
А
B
A
Answers
Answer:
B. A regular polygon is a shape with sides that are all equal to each other.
We see that for shape B, the sides are not equal to each other, as some sides are longer than others.
Hope this helps!