Answer:
The slope of the line is 2
Step-by-step explanation:
y=2x+1, compare it to the slope intercept form of a line, y=mx+c, the slope will be 2
Answer:
its 2
comment for more understanding
Good luck
Find the measure of b.
please help!
=======================================================
Explanation:
The inscribed angle 20 degrees doubles to 2*20 = 40 which is the measure of the central angle, and the arc in which the inscribed angle subtends (or cuts off). This is due to the aptly named inscribed angle theorem.
------------
A slightly longer alternative path would be to do this:
The triangle with interior angles 20 and c is isosceles. Note how the missing angle up top is one of the congruent base angles, so the missing angle is 20 degrees. That means angle c is...
20+20+c = 180
40+c = 180
c = 180-40
c = 140
Then angle b is supplementary to this
b+c = 180
b+140 = 180
b = 180-140
b = 40
This path leads to the same answer. It's slightly longer, but it's a path you can take if you aren't familiar with the inscribed angle theorem.
In fact, this line of thinking is effectively how the inscribed angle theorem is proved as shown in the diagram below.
Solve for X. Geometry
Answer: " x = 10 " .
Step-by-step explanation:
Note the top "line segment" ; and the bottom "line"; have equal measurements:
The length of the top line segment is:
" (2x − 8) + 5 ."
The length of the bottom line is: " (x + 7) " ;
__________
To solve for "x" ;
___________
(2x − 8) + 5 = (x + 7) ;
Rewrite as:
2x − 8 + 5 = x + 7 ;
Note: −8 + 5 = -3 ;
_______________
Rewrite the equation as:
2x − 3 = x + 7 ;
We can subtract "x" from each side of the equation;
and add "3" to each side of the equation:
2x − 3 − x + 3 = x + 7 − x + 3 ;
_______________
to get:
_______________
x = 10 .
_______________
Let us check our answer
(2x − 8) + 5 =? (x + 7) ;
________
(2*10 − 8) + 5 =? (10 + 7) ? ;
(20 − 8) + 5 =? 17 ?
12 + 5 =? 17 ? Yes!
_______________
Best wishes in your academic pursuits!
_______________
The ratio of length and breadth of a rectangular ground is 4:3 and the breadth is 75m. Find the length of the ground.
Answer:
the answer is 100m
Step-by-step explanation:
let 4:3 be 4x and 3x respectively
3x=75m
x=75÷3
x=25
Then,
4x=4*25
=100m
Ashley sells 18.6 kg bags of mixed nuts that contain 60% peanuts. To make her product she adds peanuts to Brand A's mixed nuts which contain 20% peanuts. How much of each does she combine?
Answer:
She combines 9.3 kg of each.
Step-by-step explanation:
Let x = amount of brand A in kg
Let y = amount of peanuts in kg
First we deal with the amount of each product she uses.
"Ashley sells 18.6 kg bags of mixed nuts that contain 60% peanuts."
x + y = 18.6
Now we deal with just the amount of peanuts.
"To make her product she adds peanuts to Brand A's mixed nuts which contain 20% peanuts."
Brand A contains 20% peanuts, so x kg of brand A contains 0.2x kg of peanuts.
The peanuts she adds are pure peanuts, so all of y is peanuts.
The result is 18.6 kg of a mixture that is 60% peanuts, so the amount of peanuts in the bags she sells is 0.6 * 18.6 kg.
0.2x + y = 0.6 * 18.6
0.2x + y = 11.16
We have a system of equations:
x + y = 18.6
0.2x + y = 11.16
We have y in both equations, so let's subtract the second equation from the first equation to eliminate y.
0.8x = 7.44
Divide both sides by 0.8
x = 9.3
Plug in 9.3 for x in the first equation of the system and solve for y.
x + y = 18.6
9.3 + y = 18.6
y = 9.3
Answer: She combines 9.3 kg of each.
What is the area of a rectangle whose length is (5x + 2)cm and whose width is (3x + 1)cm?
Answer:
[tex]\displaystyle A = 15x^2 + 11x + 2\text{ cm}^2[/tex]
Step-by-step explanation:
We are given that the length and width of a rectangle is given by:
[tex]\ell = (5x + 2)\text{ cm} \text{ and } w = (3x+1)\text{ cm}[/tex]
And we want to find the area of the rectangle.
Recall that the area of a rectangle is given by:
[tex]\displaystyle A = w\ell[/tex]
Substitute:
[tex]A = (3x+1)(5x+2)[/tex]
Expand and simplify:
[tex]\displaystyle \begin{aligned}A &= 5x(3x+1) + 2(3x+1) \\ &= (15x^2+5x)+(6x+2) \\ &= (15x^2)+(5x+6x)+(2) \\ &= 15x^2 + 11x +2 \end{aligned}[/tex]
Hence, the area of the rectangle is:
[tex]\displaystyle A = 15x^2 + 11x + 2\text{ cm}^2[/tex]
When you calculate (ln) 7, you would be finding the value of which of the following expressions?
log_e 7
log_7 10
log_10 7
log_7 e
Answer:
log_e (7)
Step-by-step explanation:
(ln) 7,
ln stands for natural log, which is log base e
log_e (7)
7* = 343/7* = 56 solve???
help me please
Answer:
the answer is 7-57 #5376
Is (3,8) a solution to the inequality 14x + 12y = 12?
What is the radius of a hemisphere with a volume of 885 in^3, to the nearest tenth of
an inch?
Answer:
The desired radius is r = 7.5 inches
Step-by-step explanation:
The formula for the volume of a sphere of radius r is V = (4/3)πr³. A hemisphere is half a full sphere, so the formula for the volume of a hemisphere of radius r is (4/3)(1/2)πr³, or (2/3)πr³.
We know that the volume of the hemisphere is 885 in³:
885 in³ = (2/3)πr³ and need to solve this first for r³ and then for r.
This is equivalent to:
885 in³ = (2π/3)r³.
We can now isolate r³ by multiplying both sides of this equation by (3 / [2π]):
(3 / [2π])(885 in³) = (3 / [2π])(2π/3)r³ = r³
Then r³ = 422.556 in³
Finally, we find the desired hemisphere radius by taking the cube root of both sides of the above equation:
r = ∛(422.556 in³) = 7.5 in (which is to the nearest tenth of an inch)
The desired radius is r = 7.5 inches
The difference between the annual and semi-annual compound interest on a sum of money is Rs 482 at the rate of 20 % per annum for 2 years. Find the sum.
a wall of a building is 36 inches wide. sixteen inches is concrete, 14 inches is brick, and 6 inches is limestone. what fraction of the wall is brick?
Answer:
878
Step-by-step explanation:
that is because i know what i am doing.
Evaluate the expression
Answer:
answer is 5 this question
Which equation represents a line which is parallel to the line 7y-x=-56
y=-1/7+1
y=1/7x-1
y=7x-4
y=-7x-2
Answer:
The parallel line is y = 1/7 x - 1
hope this helps!
help please
!!!!! this is 4 summer
Answer:
2. 8/10
3. 27/100
4. 75/100 or 3/4
Step-by-step explanation:
•First, put the number on top of 1 in a fraction.
•Multiply the top and the bottom by 10 for every number after the decimal point.
2.
Number on top of 1 in a fraction:
0.8/1
As there is 1 number after the decimal place, you would have to times the top and bottom by 10.
8/10
3.
Number on top of 1:
0.27/1
Times top and the bottom by 100:
27/100
4.
Number on top of 1:
0.75/1
Times top and bottom by 100:
75/100
Simplify (if needed):
3/4
Hope this helps :)
4 7/10 + 6/8 Fractions please help cant solve. used two methods but answer isnt the same as the answer page from the book
Answer:
5 9/20
Step-by-step explanation:
4 7/10 + 6/8
Simplify the fractions by dividing the second top and bottom by 2
4 7/10 + 3/4
Getting a common denominator of 20
4 7/10 *2/2 + 3/4 * 5/5
4 14/20 + 15/20
4 29/20
4 + 20/20 + 9/20
4+1+9/20
5 9/20
First, you have to find the common denominator.
It is 40.
But if we change the denominator, you have to change the numerator as well.
We multiplied 10 by 4 to get to 40, so we multiply 7 by 4.
[tex]\frac{28}{40}[/tex]
We multiplied 8 by 5 to get to 40, so we do the same to 6:
[tex]\frac{30}{40}[/tex]
Now add them:
[tex]\frac{28}{40} +\frac{30}{40}[/tex]
We get:
58/40
1+18/40 is my answer...
Please help! Giving brainiest!
The dot plots below show the test scores of some mathematics students and some science students: (View the attached image) Based on visual inspection of the dot plots, which group of students appears to have the larger average score?
a. The mathematics students
b.the science students
c. Both groups are similar
d. Not enough information is available to draw a conclusion.
Answer:
b. The science students
Step-by-step explanation:
If you count the dots, they are the same for both class (9 people) but the range of the science students' scores are higher than the range for the math students, which means that the sum of their scores will be larger than the math students' and since they have the same number of people, the number being divided for the average would be the same, so the science students' average would be greater than the math's.
I hope this helped! ;D
Mrs . Johnson has a total of 30 students in her class , The ratio of boys to girls is 2:3 , how many does Mrs. Johnson have in her class ?
Answer:
12 boys and 18 girls, 30 kids total
Answer:
12 boys and 18 girls
Step-by-step explanation:
If the ratio of boys to girls is 2:3, that means for every 5 students, 2 are girls and 3 are boys. That means 2/5 are girls and 3/5 are boys, so:
Identify the constant in the expression -2 + 6c + 3c
Answer:
-2
Step-by-step explanation:
The constant has only a number and no variable
-2 +6c +3c
-2 is the constant
6 is a coefficient for the variable term
3 is a coefficient for the variable term
-2
How
Simplify the equation[tex]\\ \sf\longmapsto -2+6c+3c[/tex]
[tex]\\ \sf\longmapsto -2+(6+3)c[/tex]
[tex]\\ \sf\longmapsto -2+9c[/tex]
[tex]\\ \sf\longmapsto 9c-2[/tex]
-2 is constantPlease help will give brainliest, pls don’t just guess
Answer:
B = multiply both sides by 2y+1
Step-by-step explanation:
Answer:
B. multiply both sides by the equation 2y + 1
1. 8y = 48
2. q — 12 = 1
3. 18 = a/2
4. r/3 = 7
5. 11 = m — 4
Hello!
1. 8y = 48 => y = 48 : 8 => y = 6
2. q - 12 = 1 => q = 1 + 12 => q = 13
3. 18 = a/2 => a = 18 × 2 => a = 36
4. r/3 = 7 => r = 3 × 7 => r = 21
5. 11 = m - 4 => m = 11 + 4 => m = 15
Good luck! :)
Last month Grace worked, and was paid for, a total of x hours. Some of the hours were on the day shift and the remainder of the hours were on the night shift. Her hourly pay is 20% higher for the night shift than for the day shift. How many hours did Grace work on the day shift last month
Say her hourly pay was $p for the day shift and $1.2p for the night shift.
(1) x = 55. Clearly insufficient: we need to know how these 55 hours are split between the day shift hours and the night shift hour.
(2) Grace's gross pay for the hours she worked on day shift last month was exactly 50% of her total gross pay for last month. Not sufficient.
(1)+(2) Say Grace worked h hours on the day shift and 55-h hours on the night shift. Thus, her pay for the the hours she worked on day shift is $ph and the total gross pay is $ph+(55-h)*1.2p. From (2) we have that ph=0.5(ph+(55-h)*1.2p) --> reduce by p: h=0.5(h+(55-h)*1.2). We have 1 variable, so we can solve for it. Sufficient.
Answer: C.
Kami's fitness trainer recommends that she drinks 121212 fluid ounces of water 888 times a day.
How many cups does Kami drink in one day?
Answer:
13,454,532 cups a day
Step-by-step explanation:
121212*888=107,636,256 8 fluid ounces in a cup so divide by 8 to get 13,454,532.
What are the two square roots of 9/4?
Answer:
3/2
Step-by-step explanation:
3^2=9
2^2=4
3/2 and -3/2
sqr of 9 is 3 or 3
sqr of 4 is 2 or -2
James defines a circle as "the set of all the points equidistant from a given point." His statement is not precise enough
because he should specify that
O a circle includes its diameter
O the set of points is in a plane
O a circle includes its radius
O the set of points are collinear
Answer:
I can confirm that it is: B, the set of points is in a plane
Step-by-step explanation:
It is right.
A line segment has the endpoints T(10, 4) and U(8,4). Find the coordinates of its midpoint
M.
Write the coordinates as decimals or integers.
M =
Answer:
(9,4)
Step-by-step explanation:
Using the Midpoint theorem, we have
x=(10+8)/2=18/2=9
y=(4+4)/2=8/2=4
A herd of cows gives 4 litres of milk each day. But each cow gives one-third of total milk
each day. They give 24 litres milk in six days. How many cows are there in the herd?
Answer:
4 divided by one third then you take the answer and divide it with 24
hope i could help
eleven less than five times a number is twenty four?
Find the perimeter of the square. Be sure to write the correct unit in your answer.
21 yd
Perimeter is the distance around the outside.
A square has 4 equal sides:
Perimeter = 21 x 4 = 84 yards
Answer: Perimeter = 84 yd
Explanation:
Perimeter of square = 4 × side
Side = 21 yd
Perimeter = 4 × 21
= 84 yd
Must click thanks and mark brainliest
NEED EXPLANATION TOO! THANKS BESTIES
There are 3 different trains running to London. One train
leaves every 10 minutes, another leaves every 35 minutes,
and the last one leaves every 40 minutes. They first leave at
5:30am. What Time do they all leave again at the same time?
Answer:
2:50pm
Step-by-step explanation:
You have to find the least common multiple (LCM) between the 3 times. If you don't know what is the LCM, just say it and I'll try to explain for you in the comments.
10, 35, 40 have as LCM the number 560
So it means they'll leave together 560 minutes after 5:30am
One hour is 60 minutes, so we can divide 560 by 60 to find the time in hours:
560/60 = 9 hours and 20 minutes (the rest of the division will be the minutes)
So, they'll leave together at 2:50pm
Which is the simplified form of r^-7 + s^-12
Answer:
The simplified form of r^-7 + s^-12 is ----> 1/r^7 + 1/s^12
Step-by-step explanation:
