Answer:
(x = 4, x = 4)
Step-by-step explanation:
Gonna solve it but you need to do the rest, the answers are all in the solution.
Expand the following:
(3 (x + 2) = 18, 3 x + 6 = 18)
3 (x + 2) = 3 x + 3 2:
((3 x + 3 2) = 18, 3 x + 6 = 18)
3×2 = 6:
(3 x + 6 = 18, 3 x + 6 = 18)
Subtract 6 from both sides:
(3 x + (6 - 6) = 18 - 6, 3 x + 6 = 18)
6 - 6 = 0:
(3 x = 18 - 6, 3 x + 6 = 18)
18 - 6 = 12:
(3 x = 12, 3 x + 6 = 18)
Divide both sides of 3 x = 12 by 3:
((3 x)/3 = 12/3, 3 x + 6 = 18)
3/3 = 1:
(x = 12/3, 3 x + 6 = 18)
The gcd of 12 and 3 is 3, so 12/3 = (3×4)/(3×1) = 3/3×4 = 4:
(x = 4, 3 x + 6 = 18)
Subtract 6 from both sides:
(x = 4, 3 x + (6 - 6) = 18 - 6)
6 - 6 = 0:
(x = 4, 3 x = 18 - 6)
18 - 6 = 12:
(x = 4, 3 x = 12)
Divide both sides of 3 x = 12 by 3:
(x = 4, (3 x)/3 = 12/3)
3/3 = 1:
(x = 4, x = 12/3)
The gcd of 12 and 3 is 3, so 12/3 = (3×4)/(3×1) = 3/3×4 = 4:
Answer: (x = 4, x = 4)
33. Vega makes a map of a park located on her street, using a coordinate system with yards as the units. The gate of the park is at position (–1, 1) and a park bench is at (1, 2). How far apart are the gate and the bench? Find the lengths of the legs of the right triangle from the coordinates and then apply the Pythagorean Theorem
The lengths of the legs of the right triangle from the coordinates will be 2.24 units.
What is the distance between two points?Let one point be (x, y) and another point be (h, k).
Then the distance between the points will be
D² = (x - h)² + (y - k)²
Vega uses a coordinate system using yards as the units to create a map of a park that is situated on her street. A park seat is located at position (-1, 1) and the park gate is located at (1, 2).
Then the lengths of the legs of the right triangle from the coordinates will be
D² = (1 + 1)² + (2 - 1)²
D² = 2² + 1²
D² = 4 + 1
D² = 5
D = √5
D = 2.24 units
The lengths of the legs of the right triangle from the coordinates will be 2.24 units.
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The scores on a test given to all juniors in a school district are normally distributed with a mean of 77 and a standard deviation of 8.
Find the percent of juniors whose score is between 61 and 77.
The percent of juniors whose score is between 61 and the mean is
There are no options
Answer:
I ate my dog yesterday and I couldn't find him so I had to buried him, so do you think you could help me find him
Step-by-step explanation:
Answer:
i need the same answer please someone give itttttttttttttttttttttttttttttttttttttttttttttt
Step-by-step explanation:
48=16 p what Is p ? Please help
Answer:
p = 3
Step-by-step explanation:
48 = 16p
divide both sides by 16
3 = p
I need help with the boxes someone help me please !.
Answer:
48/200= 0.24 cents per bead
0.24*25= $6
PLEASE HELP!!! JUST SHOW ME HOW YOU DID IT? PLEASE! THANK YOU SO MUCH!1
Answer:
It’s an=-10•-0.5^n-1. First you want to divide 5 by -10 to find r (common ratio) which is -0.5. Next you just plug in your terms.
Step-by-step explanation:
2. Jennifer has $500 in her savings account to use to buy gas. She withdraws $25 per week for her gas. Which equation can be used to determine how many weeks, w, it will take for her to reduce her balance to $275?
Answer:
You have a pic?
Step-by-step explanation:
In the formula l=P•r•t what does r stand for
Answer:
It stands for rate
Step-by-step explanation:
Rate: the percent that interest is paid annually as a decimal.
What are the solutions to the quadratic equation 4x^2= 64?
Ox=-16 and x = 16
Ox=-8 and x =8
Ox= -4 and X = 4
Ox=-2 and x =2
Answer:
x=4 or -4
Step-by-step explanation:
4 squared is 16, and 4 times 16 is 64
The solution is, the solutions to the quadratic equation 4x^2= 64 are, Ox= -4 and X = 4.
What is Square root?A square root of a number is a value that, when multiplied by itself, gives the number. In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x.
For example, 4 and −4 are square roots of 16, because 4² = ² = 16.
here, we have,
given that,
the quadratic equation 4x^2= 64
now, we have to simplify the equation,
at first, take 4 common from both sides,
we get,
x^2= 16
now, taking square root on both side, we get,
x = ±4
Hence, The solution is, the solutions to the quadratic equation 4x^2= 64 are, Ox= -4 and X = 4.
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Elena and Jada are 12 miles apart on a path when they start moving toward each other. Elena runs at a constant
speed of 6 miles per hour, and Jada jogs at a constant speed of 3 miles per hour. After an hour, what percentage of
of the 12 miles will Elena travel? What about Jada?
Answer:
the answer is 1.5 hrs
Step-by-step explanation:
if your qouestion is Elena and Jada are 12 miles apart on a path when they start moving toward each other. Elena runs at a constant speed of 5 miles per hour, and Jada walks at a constant speed of 3 miles per hour. How long does it take until Elena and Jada meet?
2. Complete the truth table for the statement S ^ P.
S P S ^ P T T T F F T F F
Answer:
Step-by-step explanation:
i am a number between 40 and 50. when divided by 8, i have a remainder of 3. what number am i?
Answer:
43
Step-by-step explanation:
43 divided by 8 is 5.375!
The cost of a gallon of orange juice is $3,50, What is the maximum number of containers you can buy for $15
If you have an equation 2/7m= 14, what is the quickest way to get rid of the fraction?
A. Multiply by which means to multiply by 2 and divide by 7
B. Subtract 2/7
C.Divide by 2/7
D. Multiply by which means to multiply by 7 and divide by 2
In a bag of marbles, 24% were green, 18% were purple, and the rest were yellow. If the bag has 150 marbles, how many were yellow?
Answer:
87
Step-by-step explanation:
24+18 = 42
100-42 = 58 so 58% of the marbles are yellow
58% of 150 is 87
87 yellow marbles
Answer:
87
Step-by-step explanation:
.24 x 150 then subtract the product from 150
.18 x 150 then subtract the product from the answer above
= 87
How many 3-digit number can you write with only 4 and 7?
Answer:
8 numbers
Step-by-step explanation:
447
477
474
774
744
747
777
444
Which inequality represents the graph below?
a y>2x+4
b y>-2x+4
c y>-2x+2
d y<-2x+4
Answer:
B. y > -2x + 4
Step-by-step explanation:
we know it's y greater than (>) because the shaded region is above the line. Its a dashed line because it's >. If it was ≤ or ≥ symbol it would be a bolded straight line not dashed.
We can tell from the graph that the y-intercept is (0,4). the slope is -2
The bill for Mr. Wilson’s diner meal is $25.50. As a tip, Mr. Wilson gives the server 20% of the meal’s cost. What is the total amount Mr. Wilson’s pays, including tip?
Answer:
$30.60
Step-by-step explanation:
What we know:
The bill for Mr. Wilson's diner meal is $25.50.
He gives a 20% tip to the waiter.
To figure out this tip, multiply 1/5 by 25.5.
1/5 * 51/2
51/10 = $5.10 tip.
Here, it's asking for the total, including the $5.10 tip. So, add $5.10 to $25.50 for $30.60 total, including the tip.
(For a simpler method *multiply 6/5 by $25.5)
What is the solution set for 3x−(x+2)≤4x−4 ? x≥1 x≤−2 x≤−6 x≥3
Answer:
x>1 (the first one)
Step-by-step explanation:
WILL MARK BRAINLIEST IF CORRECT ANSWER! HOW MANY SOLUTIONS???
Beinggreat78, you are ~Summoned~
Answer:
B.
Step-by-step explanation:
0.32 > 0.304 > 0.03
Work and answers are provided in the screenshot attached! :)
Find the percent of decrease. Round the percent to the neares
amount of decrease: 20 pounds
original amount: 80 pounds
Answer:
75% decrease
Step-by-step explanation:
https://www.calculatorsoup.com/calculators/algebra/percentage-decrease-calculator.php?v_1=80&v_2=20&action=solve
Please help!!
How do you do this?
Write a system of inequalities to describe the
shaded region.
Answer:
In Explanation.
Step-by-step explanation:
In situations like this, you want to first find the equations of the individual lines.
Let's start with the left one.
It has a negative slope of 2 while it has a y-intercept of 1
y=-2x+1
is the equation.
The other line has a slope of 3/2.
The y-intercept is not visible, so we need to use point slope form.
I chose (2,-3)
y+3=3/2(x-2)
Simplify.
y=3x/2-3-3
y=3x/2-6
so we have
y=-2x+1
and
y=[tex]\frac{3x}{2}[/tex]-6
Since both lines are solid, the signs are ≥ or ≤
The shadings intersect above both lines so the individual shadings also have to be above the line.
That means the equation is less than the "y".
y≥-2x+1
y≥[tex]\frac{3x}{2}[/tex]-6
Write the equation for line L in point-slope form and slope-intercept form
L is perpendicular to y=2x
The equation of the line in slope intercept form is y = - 1 / 2 x - 5
The equation of the line in point slope form is (y + 4) = - 1 / 2 (x + 2)
How to represent equation in slope intercept form and point slope form?
The equation in a slope intercept form is represented as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, let's find the equation of the line L in slope intercept form.
The line L is perpendicular to y = 2x
Hence,
m₁m₂ = -1
2m₂ = -1
m₂ = -1 / 2
Therefore,
y = - 1 / 2 x + b
let's find b using (-2, -4)
-4 = - 1 / 2 (-2) + b
b = -4 - 1
b = -5
Hence, the equation of the line in slope intercept form is as follows:
y = - 1 / 2 x - 5
The equation of the line in point slope form is represented as follows:
(y - y₁) = m(x - x₁)
where
m = slopex₁ and y₁ are the coordinatesTherefore, using (-2, -4),
(y + 4) = - 1 / 2 (x + 2)
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Find the area of a rectangle with a length of 17 centimeters and a width of 6 centimeters.
Answer:
102 cm ²
Step-by-step explanation:
What is the value of x in the equation 2x +3y = 36, when y=6?
O9
O 27
O 36
Answer:
x=9
Step-by-step explanation:
Substitution and solving
[tex]2x+3y=36\\2x+3(6)=36\\2x+18=36\\2x+18-18=36-18\\36/2=2x/2\\x=9[/tex]
Cesar has a piece of string that he wants to use to compare how far is cat's bed and his dog's bed are from their shared water bowl..The string is a lot longer than the dog's path to the bowl. The string is a lot shorter than the cat's path to the bowl. Whose path is shorter to the water bowl, the dog's or the cat's?
Answer:
The dogs path is shorter to the water bowl
Step-by-step explanation:
Find the value of x in the isosceles triangle shown below.
5
4
Answer:
x = √29Step-by-step explanation:
use Pythagorean theorem:
a² + b² = c²
where a = 4/2 = 2
b = 5
c = x
plugin values into the formula:
2² + 5² = x²
x = √(2² + 5²)
x = √29
The length of the side x of the isosceles triangle is x = √29 units
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
The measure of side AB = AC = x
The measure of BC = 4 units
Now , let AD be the perpendicular bisector of the triangle and AD = 5 units
where the measure of BD = measure of CD
And , right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
So , the measure of x = √ ( AD )² + ( BD )²
x = √ ( 25 ) + ( 4 )
x = √29 units
Hence , the length of side of triangle is x = √29 units
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Write the next whole number after 6467 in the base-eight system.
Answer:
30541
Step-by-step explanation:
8⁰ = 1
8¹ = 8
8² = 64
8³ = 512
8⁴ = 4096
8⁵ = 32768 > 6467
We have
6467 ÷ 8⁴ = 1 (mod 2371)
2371 ÷ 8³ = 4 (mod 323)
323 ÷ 8² = 5 (mod 3)
3 ÷ 8 = 0 (mod 3)
3 ÷ 1 = 3
=> 6467 in the base-eight system: 30541
If a bass drum has a diameter of 3 feet, which of these represents C, the circumference of the drum?
Answer:
9.42
Step-by-step explanation:
C= 2 times pie times radius
Find the interest and amount for $800 at 9% for year?
Answer:
72 dollars
Step-by-step explanation:
I = Prt
I(Interest)
P(Principle)
r(rate)
t(time)
I = 800 * 9% * 1
800 * .09 * 1 = 72