[tex]3 \sqrt{9} - 16 = ... \\ = 3(3) - 16 = 9 - 16 \\ = \bold{ - 5}[/tex]
[tex] \: [/tex]
B.)[tex] - 7 \sqrt{0.36} + 5.4 = ... \\ = - 7(0.6) + 5.4 = - 4.2 + 5.4 \\ = 5.4 - 4.2 = \bold{1.2}[/tex]
Use the linear combination method to solve the system of equations. *Explain each step of your solution.
2x - 3y = 13
x + 2y = 4
Step 1: We have the next system of equations -
[tex]2x - 3y = 13[/tex]
[tex]x + 2y = 4[/tex]
Step 2: Now, we will multiply by -2 the second equation:-
[tex] - 2(x + 2y) = 4[/tex]
[tex]→ - 2x - 4y = - 8[/tex]
Step 3: Then we add it :-
[tex]2x - 3y = 13[/tex]
[tex]( + ) \: - 2x - 4y = - 8[/tex]
Step 4: After finding the sum, we simplify:-
[tex] - 7y = 5[/tex]
[tex]→y = - \frac{5}{7} [/tex]
Then, substitute the above y value to find x's value in any equation of Step 1. Now, I used to second equation in Step 1:-
[tex]x = - 2( \frac{ - 5}{7}) + 4[/tex]
Step 5: Then simplify :-
[tex]y = \frac{38}{7} [/tex]
Therefore, the final answer is :-
[tex]x = \frac{38}{7} [/tex]
and
[tex]y = \frac{5}{7} [/tex]
------------------------★---------------------
Answered by Benjemin360 ☺️
A diameter of a circle measures 58cm. What is the length of its radius
Answer:
29cm
Step-by-step explanation:
a radius is half of a diameter so half of 58cm is 29cm.
i hope this helps have a good day
Help please I really don’t understand SOS Due today
Answer:
Step-by-step explanation:
28 > 6x - 2
28 + 2 > 6x - 2 + 2
30 > 6x
5 > x or x < 5
how do u simplify 4625/1000
Answer:
37/8
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator. GCD of 4625 and 1000 is 125.
4625 ÷ 1251000 ÷ 125.
Reduced fraction: 378. Therefore, 4625/1000 simplified to lowest terms is 37/8.
please help please help
Answer:
35
Step-by-step explanation:
It is asking you for the absolute value which is the distance from zero. Picture it on a number line. It is 35 spaces from zero.
I hope this helps!!!
Answer:
C) 35
Step-by-step explanation:
The absolute value of a number can be thought of as the distance the number is from zero on a number line. A distance is never a negative number. It can be zero or a positive number.
Asking what is |-35|, the absolute value of -35, is the same as asking "how far is -35 from zero on a number line?" The answer is 35.
To find the absolute value of a number do this:
If the number is zero, then its absolute value is 0. |0|= 0
If the number is positive, then the absolute value is just the number. For example, |9| = 9
If the number is negative, then just drop the negative sign. Example: |-3| = 3
Identify the point that is not on the line 15x + 60y = 180
a (4,2) c (12, 1)
b (0,3) d (8, 1)
Answer:
c
Step-by-step explanation:
Substitute the coordinates of the points into the left side of the equation and if equal to the right side then the point lies on the line.
(4, 2 ) → 15(4) + 60(2) = 60 + 120 = 180 ← point on line
(12, 1 ) → 15(12) + 60(1) = 180 + 60 = 240 ← point not on line
(0, 3 ) → 15(0) + 60(3) = 0 + 180 = 180 ← point on line
(8, 1 ) → 15(8) + 60(1) = 120 + 60 = 180 ← point on line
The point (12, 1 ) is not on the line → c
Side AB of a parallelogram ABCD is produced upto point E. If m<CBE = 35°, find m<ADC.
Answer:
The measure of ∠ADC = 145°
Step-by-step explanation:
ABCD is a Parallelogram.
AB is produced to E .
∠CBE = 35°
We know that
∠ABC + <CBE = 180[tex]\degree[/tex]
Since , they are linear pair
➜ ∠ABC + 35° = 180°
➜ ∠ABC = 180°-35°
➜ ∠ABC = 145°
We know that
In a Parallelogram, Opposite angles are equal.
➜ The opposite angle of ∠ABC = ∠ADC
➜ ∠ADC = 145°
Therefore, The measure of ∠ADC = 145°
Read more:Similar Questions
In the accompanying diagram of the parallelogram ABCD, AB is extended to E such that CB is congruent to CE. If m< ADC = 100, what is m<CEB?
https://brainly.com/question/22056209?referrer
Can someone help me. All i need o know is what is the value after 10 years i done the equation part by myself
NO BOTS OR ILL REPORT YOU!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
ILL GIVE BRAINLY TO CORRECT ANSWER
100 points
Answer:
$4811
Step-by-step explanation:
Initial price = 35,000
18% decrease anually = 18/100 = -0.18
after 10 years
substitute these values in the formula shown in below figure
A = 35000 * ( 1 + -0.18/1 ) ^10
= 35000 * 0.82^10
= 4,810.681
= $4811
F) A wall in a house is currently 12 feet long and a contractor wants to add 108 inches to the wall. How long will the
extended wall be in yards?
(A) 5yards
(B) 7yards
(C) 8yards
(D) 10yards
(E) 17yards
a square has a shaded part with 7cm and 4cm and 40 cm. workout the percentage of the are inside the square that is shaded
Answer:
68
Step-by-step explanation:
You multipliy 7x4 and you get 28 now you add the 40+28=68.
An adventure race is 9.75 mi long. The race is divided into equal sections. Each section is 0.75 mi long. The race organizer needs 4 volunteers in each section. How many volunteers does the race organizer need? Show your work.
Step-by-step explanation:
9.75/.75 = 13
which means the race is divided into 13 equal section according to the question in which each section is 0.75 m long.
as 4 volunteers are needed in each section
so keeping this in mind 13×4 = 52
therefore, 52 volunteers race organizer need.
hope this answer helps you dear! take care
what is the equation of the blue line? (see photo)
Answer:
y= -x-1
Step-by-step explanation:
(x1,y1) = (-1,0) ; (x2,y2) = (0,-1)
y=mx+b
m=[tex]\frac{y2-y1}{x2-x1}[/tex]=[tex]\frac{-1-0}{0-(-1)}[/tex]=[tex]\frac{-1-0}{0+1}[/tex]=[tex]\frac{-1}{1}[/tex]=-1
Then substitute either x1y1 or x2y2 (it's gonna give the same answer anyways) and m to find b.
y=mx+b
0=(-1)(-1)+b
0=1+b
0-1=1-1+b
b=-1
Then substitute b and m to get the equation.
y=(-1)x+(-1)
y= -x-1
Question
Solve the equation.
q+5/9=1/6
q=
Answer:
q = - [tex]\frac{7}{18}[/tex]
Step-by-step explanation:
q + [tex]\frac{5}{9}[/tex] = [tex]\frac{1}{6}[/tex]
Multiply through by 18 ( the LCM of 9 and 6 ) to clear the fractions
18q + 10 = 3 ( subtract 10 from both sides )
18q = - 7 ( divide both sides by 18 )
q = - [tex]\frac{7}{18}[/tex]
If it takes 7 people 8 days to dig a ditch, how many people would it take to dig the ditch in 1/2 day
Answer:
112
Step-by-step explanation:
8 days when fitted into a half (1/2) gives you 16
7 times 16 gives the answer of 112 (people needed)
Answer:
112 people to do it in 1/2 of a day
Step-by-step explanation:
7 · 8 = 56
56 ÷ ½ = 112 people to dig a ditch in 1/2 of a day
What is the name of this angle?
Help
Answer:
Acute is correct. It should not be confused with the girl at the desk ahead. She's a cutie. Cuties all have angles, so caution.
Step-by-step explanation:
Answer Asap!
<3 <3 <3
Thx
Answer:
the answer is 15/17
because cosine=b/h=UV/UW=15/17
a dress which sosts $180 is being sold at a discoundof 10% the amount of the discount is
Answer:
The discount is $18.
Population Growth Using 20th-century U.S. census data,
the population of Ohio can be modeled by
12.79
P(1) =
1 + 2.402,-0.0309
where P is the population in millions and r is the number of
years since April 1, 1900. Based on this model, when was the
population of Ohio 10 million?
The population of Ohio will be 10 million in the year 1970
The population growth of Ohio is represented by the function:
[tex]P(t)=\frac{12.79}{1+2.402e^{-}0.0309t}[/tex]
P is the population in millions
t is the number of years since 1900
To find the year that the population of Ohio will be 10 million, substitute P = 10 into the function P(t) and solve for t
[tex]10=\frac{12.79}{1+2.402e^{-}0.0309t}\\\\10(1+2.402e^{-}0.0309t)=12.79\\\\1+2.402e^{-}0.0309t=\frac{12.79}{10} \\\\1+2.402e^{-}0.0309t=1.279\\\\2.402e^{-}0.0309t=1.279-1\\\\2.402e^{-}0.0309t = 0.279\\\\e^{-}0.0309t =\frac{0.279}{2.402} \\\\e^{-}0.0309t =0.116\\\\-0.0309t=ln0.116\\\\-0.0309t=-2.154\\\\t=\frac{-2.154}{-0.0309} \\\\t=69.7[/tex]
t = 70 years (to the nearest whole number)
70 years after 1900 will be 1970
Therefore, the population of Ohio will be 10 million in the year 1970
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HELP PLS ASAPPPPP AHH
Answer:
25021/50 ft.
Step-by-step explanation:
Convert decimal to fraction, 50042/100 ftReduce the fraction: 25021/50 ft
More Explanation on Rational Numbers:
Rational numbers are the numbers which can be written as fraction of a/b where a,b be any integer and b≠0. They are finite and recurring decimals.
For example:- 0.2 is a rational number and can be written as 2/10 or 1/5.
Irrational numbers are the numbers which can not written as fraction and they are non-terminating .
For example: The √2 [square root of 2] is also an irrational number. After simplifying,it would be written as 1.41421356237…so on ,but the numbers go on into infinity and do not ever repeat, and they do not ever terminate.
Have a great day! :D
I need help with these questions
Answer:
segment addition postulate
the second answer is true
Step-by-step explanation:
my teacher taught me this recently
. Suha has a full 600 ml bottle of wallpaper remover. She is going to mix some of the wallpaper remover with water. Here is the information on the label of the bottle. Wallpaper remover 600 ml 1 Mix of the wallpaper remover 4 with 4500 ml of water Suha is going to use 750 ml of water. How many millilitres of wallpaper remover should Suha use? You must show your working.
Answer:
25ml of wallpaper remover
Step-by-step explanation:
(y = amount of wallpaper remover)
4500×4 = 18000
18000:600
750 : y
18000y = 600×750
18000y = 450000
y = 450000÷18000
y = 25
The perimeter of a rectangle is 40 cm. The length is 14 cm.
Let x = width of the rectangle.
Ravi says he can find the width using the equation 2(x + 14) = 40.
Fran says she can find the width using the equation 2x + 28 = 40.
Answer the questions to solve the equations and to compare the steps and solutions.
1. Which of these is the most helpful first step for solving Ravi's equation, 2(x + 14) = 40?
Circle the best answer.
Add 14 to both sides
Subtract 14 from both sides
Divide both sides by 2
Multiply both sides by 2
2. What would your next step be?
Write your answer in the space below.
3. Solve Ravi's equation, 2(x + 14) = 40, to find the width of the rectangle. Show your work.
Write your answer in the space below.2(x +14) = 40 (use the distributive property)
2x + 28 = 40 (solve exactly like you did for Fran)
2x = 12
x = 6
4. Which of these is the most helpful first step for solving Fran's equation, 2x + 28 = 40?
Circle the best answer.
Multiply both sides by 2
Subtract 28 from both sides
Divide both sides by 2
Add 28 to both sides
5. What would your next step be?
Write your answer in the space below.
6. Solve Fran's equation, 2x + 28 = 40, to find the width of the rectangle. Show your work.
Write your answer in the space below.
7. The two equations have different solution steps. Do they have the same solution? Use the distributive property to show why this answer makes sense.
Write your answer in the space below
Answer:
Below.
Step-by-step explanation:
1. Divide both sides by 2.
2. After dividing both sides by we would have:
x + 14 = 20
The next step would be
Subtract 14 from both sides.
3. 2(x + 14) = 40
x + 14 = 20
x = 20 - 14
x = 6.
2x + 28 = 40
2x = 40 - 28
2x = 12
x = 6.
solve pls brainliest
$200
Step-by-step explanation:Simple interest is the same value of interest each year. It is based on the original value. The original value here is $5000.
You must find 2% of the $5000 dollars. This is 0.02 * 5000, or $100.
The question asks for the value after two years, so you must double this to $200.
The question asks how much interest he is paid, which does not include the original $5000. The answer is therefore $200.
A fish swims 6 feet directly above a scuba diver. The fish suddenly dives to double its depth under the surface of the ocean. The fish dives to a depth of −42 feet. What is the position of the scuba diver relative to the surface of the ocean? Choose from the drop-down menu to correctly complete the statement.
Answer:
The scuba diver is 27 feet below sea level.
-
Hope this will assist you.
The position of the scuba diver relative to the surface of the ocean is 27 feet under the surface.
Since a fish swims 6 feet directly above a scuba diver, and the fish suddenly dives to double its depth under the surface of the ocean, and the fish dives to a depth of −42 feet, to determine what is the position of the scuba diver relative to the surface of the ocean, the following calculation must be performed:
42/2 + 6 = X 21 + 6 = X 27 = X
Therefore, the position of the scuba diver relative to the surface of the ocean is 27 feet under the surface.
Learn more in https://brainly.com/question/14746652
PLS HELP PLS ILL GIVE BRAINLKEST THANKS
Answer:
2 d>7 because at first you have to distance how much hours is from Virginia to Florida and thats approximately 12hrs and 33 minutes so, d is greater than 7 hours
I need help on 26 please and thank you
Answer:
your answer is 1.65 or E :)
Solve the simultaneous equation
3x-4y=11
9x+2y=5
Answer:
I assume you are looking for the x and y values of the two equations? if not message me!
y=–2
x=1
Step-by-step explanation:
Multiply the first/top tearm by –3 so we can "get rid of" the X's with the addition of both equations. we are then left with: 14y=-28
We can now divide both sides by 14 to get y by itself so we are left with: y=–2
plugging our y value back into the first equation we get: 3x+8=11. we subtract 8 from both side and are left with: 3x=3. dividing both side by 3 we can get x by itself and are left with: x=1
To check, we plug x and y both into the first equation we get: 3+8=11 (which it does). Or we can plug both of them into the second equation and we get:9-4=5 (which it does)
Answer:
Below in bold.
Step-by-step explanation:
3x-4y=11
9x+2y=5
Multiply the first equation by 3:
9x - 12y = 33
Subtract the above from the second equation:
2y - (-12y) = 5 - 33
14y = -28
y = -2.
Now plug y = -2into the first equation:
3x - 4(-2) = 11
3x = 11 - 8 = 3
x= 1.
Analyze the diagram below and complete the instructions that follow.
Answer:
this question is a very simple. you should start with the biggest triangle then follow the steps to find each side of other triangles. THE ANSWER İS ROOT FORTY ONE
Step-by-step explanation:
these are all right-angled triangles. even the smallest one with the x side.
so, we need to apply Pythagoras to get the missing sides and finally x.
c² = a² + b²
c is the Hypotenuse, the baseline of the triangle opposite of the 90 degree angle. a and b are the legs of the triangle enclosing the 90 degree angle.
so,
52² = 48² + side1²
2704 = 2304 + side1²
400 = side1²
side1 = 20
20² = 12² + side2²
400 = 144 + side2²
256 = side2²
side2 = 16
13² = 5² + (larger part of side2)²
169 = 25 + (larger part of side2)²
144 = (larger part of side2)²
larger part of side2 = 12
that means the smaller part of side 2 = 16-12 = 4.
x² = 5² + 4² = 25 + 16 = 41
x = sqrt(41)
So, D is the right answer option.
What are the values of m and n
Answer:
m = 20°, n = 45°Step-by-step explanation:
Both of the triangles are isosceles as marked on the diagram.
The right triangle has missing angles of:
n = 90°/2 = 45°The missing angles of the bigger triangle:
m + n = 1/2(180° - 50°)m + 45° = 65°m = 20°Peter and Pam are both avid swimmers. Last week Pete swam twice as many hours s Pam. Together they swam a total of 18 hours. How many hours did each swim?
Answer:
Peter swam 12 hours, Pam swam 6
Step-by-step explanation:
Pam = x
Peter = y
y = 2x (this is because Peter swam twice as much)
y + x = 18 (this is because they both swam a total of 18 hours)
2x + x = 18 (substitute for y)
3x = 18
x = 6 (pam)
Now, I just need to substitute x = 6 into original equation.
y = 2(6)
y = 12 (peter)
Answer:
Peter- 12 hours
Pam- 6 hours
Step-by-step explanation:
You can set it up an an equation.
P = Peter
18= P + (P/2)
Solve.
36=2P+p
36=3P
P=12
Peter swam 12 hours.
Then 18-12= 6, Pam's number of hours.